diff --git "a/data/dm_maths/full_data_2/1663_11255.jsonl" "b/data/dm_maths/full_data_2/1663_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1663_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (1*-2*sqrt(704))\/(sqrt(256) + -3*sqrt(256)*2 + sqrt(256) - sqrt(256)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*s + 21*s + 9*s + (-3 + 0 - 3)*(2*s + 1 - 1).\nAnswer: -29*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2265, 4556, 6873, 9228, 11633, 14100?\nAnswer: 16641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19738322.\nAnswer: 2, 163, 191, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/202000 and -97\/750.\nAnswer: 606000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7276940 divided by -1455388.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3 - 3*h**3 + h + 7*h**3 + 2*h**2 - 1. Let g(w) be the third derivative of -w**6\/24 - w**5\/20 - w**4\/24 - w**3\/2 - 9*w**2. Determine -2*g(x) - 3*v(x).\nAnswer: -2*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 41?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**5\/20 + 5*o**4\/24 + 2*o**2. Let f = -68 + 75. Let u(j) = 4*j**2 - 7*j. Determine f*i(y) + 5*u(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.923383 millilitres to litres.\nAnswer: 0.000923383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpz when three letters picked without replacement from kkokpokkkokkpkpzpoko.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 19*n**6\/720 + n**5\/20 + 7*n**4\/4 + 17*n. Let p(s) be the third derivative of m(s). Differentiate p(c) wrt c.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45547?\nAnswer: 37, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4594212?\nAnswer: 2, 3, 7, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 284.36, -5, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 12 = -2*i, 3*w + 4*i + 7 = 2*i. Let s(a) = 1583*a**3 + a**2 - 1. Is s(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -249 + 292. Suppose 6*m - 3*m + 3*l = 39, 0 = 3*m - l - o. Solve -4*i + 38 = 4*h + 6, 2*h - 4*i = -m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 9. What is the remainder when 3 is divided by z(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 464.9314 tonnes to micrograms.\nAnswer: 464931400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-165)\/(-25) - (-2)\/5. Let w be a\/2*6*(-40)\/(-84). Suppose 559 = -w*k + 2139. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7, -11, -43, -89, -149, -223, -311?\n\"Answer: -7*o**2 + 3*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10441\/1410 - 43\/141. Suppose 24 = -25*v + 22*v. Calculate the common denominator of p and ((-60)\/v - -4) + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 50596, 404702, 1365840, 3237526, 6323276, 10926606?\n\"Answer: 50586*t**3 + 4*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z - 16*z = -3444. Calculate the remainder when z is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**5\/15 - p**4\/8 + p**2\/2 - 2*p. Let i(u) be the first derivative of q(u). What is the second derivative of i(k) wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2852 + -2756 - (1 + 52)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {a: 3, o: 2, n: 1, z: 10, x: 1, s: 1}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -19400051*v**2 + 19400051*v**2 - 3*v - 1 - 558*v**4 in the form p*v**4 + a*v**2 + j*v + s*v**3 + w and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 511, 513, 511, 505, 495, 481, 463?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 7:20 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 771 and 3184487?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 29. Let l(y) = -y - 2. Let s be l(-10). What is the smallest common multiple of s - (2 + (-16)\/u) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, 3, -5, -19, -39, -65?\n\"Answer: -3*q**2 + 7*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/105 (b) -4 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.3. Let l = -0.3 + d. Which is the closest to 0.2? (a) l (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 2\/9, -0.48, -2\/15?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1725 and -7\/60?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 30 = -5*i + 3*r, -3*r = -15. Suppose -9 - i = -4*t. What is the derivative of 0 + t + 2*f**3 - 3 wrt f?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -3 + sqrt(11) + 5 - (sqrt(1100)*-4)**2.\nAnswer: -17598 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 30. Let w = -20 + l. What is the greatest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 229 - 273 = 0. Let f(s) = 21*s**2 - 11*s. Let m(n) = -7*n**2 + 4*n. What is u*m(a) + 4*f(a)?\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 658 and 1736?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**3\/2 - 12*g**2 - 51*g\/2 - 13 = 0?\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771263279?\nAnswer: 47, 103, 159319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.6. Let o(s) = 8*s**2 - 3*s + 2. Let d be o(1). Suppose -3*t + d*t = 0. Is m <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -251 - 12?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19155 is divided by 19148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j + 9. Let l be a(0). Suppose -23 = -2*p - 3*m, -m + l = 2*p - 4. Solve h - p*v = -0*h + 5, -2*v = -h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.583 + 1.403. Which is the biggest value? (a) 0 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38249 times 4?\nAnswer: -1.52996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-614*c - 13 + 648*c + 0)*(-1 - 3 + 7)*(0 + 2 + 0).\nAnswer: 204*c - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*i**3*n**2 - 6*i**3*n - 17185*i**3 + 2*i**2*n - i*n**2 + 3*i - 3*n + 4379 wrt i.\nAnswer: -72*n**2 - 36*n - 103110","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1007)\/(-722) + (-12)\/8?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2\/11, -3, -10, -4, -11.2 in descending order.\nAnswer: 0.4, -2\/11, -3, -4, -10, -11.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) -104 (c) 0 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.22 (c) -1\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1422 - -12.8578. Which is the biggest value? (a) x (b) 19 (c) -1 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 8 = -10*v. Let o be -2 - ((-80)\/22)\/v. Let h = -2 + -1. Which is the nearest to o? (a) h (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*-2*sqrt(228) + (sqrt(228) + sqrt(228) + sqrt(228) + -3*sqrt(228)*2 - sqrt(228) - sqrt(228) - sqrt(228))))\/(-5*-3*sqrt(588)*-5).\nAnswer: 4*sqrt(19)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.51606 - -0.10666. Round m to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.287 + -0.113. Let s = 44 - 122. Let j = s + 77. Put 6, h, j in decreasing order.\nAnswer: 6, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/((-675)\/(-2220)))\/((-12)\/(-18)). Which is the second biggest value? (a) 21 (b) -2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 8*z**2 - 3*z + 3. Calculate u(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1485\/8 - 186. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + -111101100011?\nAnswer: -111101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 53, -77 in decreasing order.\nAnswer: 53, 2, -4, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) -5 (c) 0 (d) -232\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by -10 - -9 - (-34)\/1.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28943872?\nAnswer: 2, 56531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**2\/9 + 55330*a\/9 + 325208 = 0.\nAnswer: -27612, -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*m + 332 - 673 + 3732*m + 341.\nAnswer: 3974*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 158 = -130 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2324166 from 24541.\nAnswer: 2348707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22, -88, -168, -262, -370, -492?\n\"Answer: -7*z**2 - 45*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6)*80)\/((-1)\/(-3)). What is the highest common factor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 - -67. Suppose -b*c + 10*c - 18 = 0. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l + 4. Suppose 0 = -4*m + 4*o + 40, 0*m - 5*o - 35 = -2*m. Let r = m + -11. Is 15 a factor of p(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-56)*231\/(-22)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 111322 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eewwewwewttmetwtwtm. What is prob of sequence twte?\nAnswer: 175\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**2\/2 + 2*r - 3. Calculate the remainder when -4 + 2 - (-9 + -10 - -2) is divided by v(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 46 - 85 + 6*i.\nAnswer: 6*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b + 54?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 477 (b) -3\/4 (c) -4 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + -17?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 4, -4, -6 in descending order.\nAnswer: 4, 1, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 10 + 120 + -104\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22514, 22523, 22532, 22541?\nAnswer: 22550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Suppose q = 4*y - 62 - 158. Suppose 2*d = -3*d + y. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 80, -3.\nAnswer: -4, -3, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**14*l*l**(-5)*l)\/(l\/l**1)**(-3\/8) assuming l is positive.\nAnswer: l**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3262, 3740, 5036, 7558, 11714, 17912, 26560?\n\"Answer: 68*u**3 + u**2 - u + 3194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01115109 rounded to 4 dps?\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338*-2975.\nAnswer: -1005550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 a factor of 76249535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24088, -24087, -24086, -24085, -24084?\nAnswer: -24083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3391 - -40645\/12. Let r = n + 559\/60. Find the common denominator of r and -50\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (1 + -7)) + (3 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24087, 48192, 72297, 96402, 120507, 144612?\n\"Answer: 24105*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -702.533 - -0.6.\nAnswer: -701.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 6207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + 2.4. Let n = -70 - -71. Sort n, i, 5\/2 in decreasing order.\nAnswer: i, 5\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16200 and 680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubsjbsrbbsbb. What is prob of sequence ss?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfyyyyyyyyyfry. What is prob of picking 3 y?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 240.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 2858 + 244 = 0. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -9 + 9*s**2 - 8 - 17*s - 60*s**3 + 3*s**2 + 4*s. Let r be c(-13). What is r rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00050029372 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -49 (b) 9 (c) -2\/49 (d) 1\/3 (e) -0.19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(588) - sqrt(588)*-1 - sqrt(588)).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j**3 + 2*j**3 + 0*j**3)*(4178 + 18440 - 4123 + 11983 + 5798 - 1185) to w*j**2 + q*j + f*j**3 + t and give f.\nAnswer: 175455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*((-34)\/90 - 10\/45). Let i be (240\/(-180))\/((-1)\/r*2). Which is the third smallest value? (a) -0.4 (b) i (c) -0.1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/5 (b) -1\/7 (c) -23222 (d) -0.4 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 67 = -x. Let l = 9 + 5. Calculate the remainder when x is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12146091 + 0.083?\nAnswer: -0.03846091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 s, and 2 c when four letters picked without replacement from {c: 2, u: 2, i: 2, z: 3, s: 2, g: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*a + 2*a + 19, 3*a = -5*w + 65. 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: Calculate the greatest common factor of 70 and 55748.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 53\/(1696\/(-160))*(-12)\/(-45)*42\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**3\/3 - 2*b**2 + 2*b - 3. What are the prime factors of x(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = -3*s, -2*v = 5*s - 4*v + 23. Let u(k) = k - 5. Suppose -4*r = -2*j - 2, 6*r - j = 2*r + 5. Let l be u(r). Is l less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 + 184. Suppose -2*w - 4*b = -592, 0 = -l*w - 4*b + 669 + 209. What are the prime factors of w?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3 + 23*k**3 - 2 + 0 - 22*k**3. Let d(b) = -5*b**3 + 21. Let q(p) = 2*d(p) + 9*j(p). What is the first derivative of q(i) wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14, -32, -50, -68, -86?\n\"Answer: -18*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(13\/4 - (19 - 16)). Factor 1\/4*q**5 - 1\/4*q**2 - u*q**3 + 0 + 1\/4*q**4 + 0*q.\nAnswer: q**2*(q - 1)*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 625 = 195. Suppose -2*g + 82 = 2*z, 5*g - 3*z - t = -0*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2073, 16800, 56971, 135372, 264789, 458008, 727815, 1086996?\n\"Answer: 2131*j**3 - 64*j**2 + 2*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 139 - (-112 - -252 - 74).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**3*x**2 + 3*j**3*x + 4*j**3 + 5*j*x**2 + 3*x**3 - 3*x wrt x?\nAnswer: -10*j**3 + 10*j + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -43cd?\nAnswer: -43d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 316 + -155?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -8. Suppose 3*o = 145 - 40. Calculate the remainder when o is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (2 - ((3 - 1) + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2142\/(-1275)*(-80)\/112.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuccuuuuccuuc. Give prob of picking 1 u and 2 c.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -195 - 6*m**3 + m**2 + 3*m + 0*m**3 - m**3 - 3*m**2 + 5*m**3 in the form s*m**3 + j*m + k*m**2 + y and give y.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 176392 = -3*x, 5*p = 4*p - 2. Round x to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 51*m**2 + 267*m + 1674. Determine k(-46).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 r when four letters picked without replacement from {r: 3, v: 3, s: 1, t: 8, y: 3}.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**4\/12 + a**3\/6 + 5*a**2\/2 + 2*a. What is u(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -27. Let v be -30*(s - (-12)\/(-20)). Let h = v + 15. Solve h*p + 0 - 3 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 8*k - 4. Suppose -10*g + 14*g = -10*g. Suppose -44 = -4*u - 4*d, -2*u + 4*d + 4 + 0 = g. Calculate f(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -s - 0*s - 11, 3*n = 2*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = -11. Let s(n) = -n - 11. Let w be s(k). What are the prime factors of w\/(-4) + (-44)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2429 and 39882.\nAnswer: 9687.3378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81000248.\nAnswer: 2, 7, 29, 49877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvfz when four letters picked without replacement from zfvvfvvfzvzvzv.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 - g**5 - 2*g**4)*(1 - 2 - 1) + (-15*g**4 - 15*g**4 + 6*g**4 + (-g + 2 - 2)*(-5*g - 10*g + 6*g)*(2*g**2 - 3*g**2 - g**2))*(-37 + 37 + 15*g).\nAnswer: -628*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3554 - -3554. Which is the fourth biggest value? (a) i (b) 0.12 (c) 0.02 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163 - -241. What is the remainder when 307 is divided by x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 472*f**3\/3 - 3*f**2\/2 + 71*f + 1327. What is the second derivative of s(b) wrt b?\nAnswer: 944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-268)\/8)\/(((-3)\/2)\/(-3)). Let i = y + 126. Calculate the remainder when i is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*q - 3*n + 39 - 25, 42*n - 294 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.8 + -3.2. Let w = z - -7.5. Which is the biggest value? (a) 5 (b) -0.3 (c) w (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 0*z**2 - 2\/3*z**3 + 0*z - 9. Let r(f) = 48*f**2. Give k(r(a)).\nAnswer: -4608*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.7 (b) 2 (c) 3 (d) -3868\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h = 3*h + 65 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4275.759 - -4280. Let u = t + -0.041. Round u to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 95, 142, 203, 284, 391?\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/6 and 123\/260?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 - (1 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -22*u + 4. Let r(n) = -n**3 - 28*n**2 + 30*n + 29. Let b be r(-29). Let p be s(b). Let k = 57 + -29. What is the greatest common factor of p and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 1, q: 3, x: 1, l: 1}. Give prob of sequence xq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 160971, 1287033, 4343475, 10295487, 20108259, 34746981, 55176843, 82363035?\n\"Answer: 160865*x**3 + 7*x + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t. Suppose -6*p + p = 0. Let o = p - -2. Solve t = h + o*h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -4\/129703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -70963, -141964, -212965?\n\"Answer: -71001*b + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 6:00 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17328551?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5\/7 - 60*w**4\/7 + 533*w**3\/7 - 108*w**2 - 76*w + 816\/7 = 0.\nAnswer: -68, -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(3\/8))\/g**(-12))**0 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at least as big as 107186\/12753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -1. Let f = 23 + -7. Let l = t - f. Which is the smallest value? (a) -1 (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -286 - -285.99405. What is b rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2433 - 3?\nAnswer: -2436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -248, -498, -748?\n\"Answer: -250*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 208725162 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -27.56596972374.\nAnswer: -22.56596972374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23112 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 17. Suppose 3*u = 4*u - f. Let s be 16\/((-64)\/(-9))*4\/3. What is the greatest common divisor of s and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41454 (base 6) to base 13.\nAnswer: -2701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 + 180*j**4 + j**3 - 2 + 1 + j - 182*j**4 in the form o*j + l*j**2 + i*j**4 + x*j**3 + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 63.4996l?\nAnswer: 63499.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 2, x: 1, s: 3}. Give prob of sequence uq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -8*w + 40. Let a(z) = z**3 + z**2 + 4. Let g be a(0). Let t(m) = -g*m + 4*m - m + w + m**2. What is t(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 1:56 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 12*x - 13. Let p(i) = -12*i + 14. Let o(n) = -5*p(n) - 4*v(n). What are the prime factors of o(7)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24*-0.5.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -6 - 4\/(-18)*30969\/(-222).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50891 + 115370. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 73 + -10 + (-21 - (-45 - -34))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/5 - 71*o**3\/5 + 332*o**2\/5 - 124*o\/5 - 528\/5 = 0 for o.\nAnswer: -1, 2, 4, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-2)\/(-2 - 153\/(-78))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479962095 is divided by 2020.\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*k**2 + 45*k**2 + 643*k - 84*k**2 to the form b + h*k + g*k**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9814 - -6?\nAnswer: 981a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2103123301?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 9:20 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (16*190\/(-6384))\/((-30)\/28)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 25, 41, 59?\n\"Answer: q**2 + 11*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**3 + 0*n**2 + 0*n**4 - 1\/120*n**5 + 3 + 0*n. Let r(w) be the third derivative of z(w). Let a(f) = f. Determine r(a(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 1\/6*v**3 - 3*v - 1\/40*v**5 - 1\/16*v**4 + 0 + 1\/120*v**6 + 1\/2*v**2. Factor s(g).\nAnswer: (g - 2)**2*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.890023l?\nAnswer: 1890.023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 14) + 2 - (4 - (-1 - -2))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 16 + 26 - 7 - 2*i.\nAnswer: -2*i + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1221947530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.56 + -14.46. What is the closest to n in 0.8, -0.29, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-500)\/75*11\/4*6. Let g = r - -130. What is the least common multiple of g and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -13. Let a = h + 9. Suppose 206 = 4*s + q + q, 3 = -a*q. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 4\/5 (c) 0.10525\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 332 or 333?\nAnswer: 333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2665\/1144 - 15\/12 and 21\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1639663736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 116699.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/13)*z)\/(z\/z**(-9)))**(-1\/2) assuming z is positive.\nAnswer: z**(119\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + 1430310011?\nAnswer: 1430310030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*i - 17*i = 594 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-11) - (34 + (-8865)\/495).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 0*r**3 + r**3)*(-4 + 0 + 3) - 6*r**3 - r + r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 73464824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4) + 2)*24\/36. Solve -4*p + d = -11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 11. List the prime factors of (-12)\/(-8) + 3\/q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**(-1))**(-1\/8)\/(d**(-5))**(-45) assuming d is positive.\nAnswer: d**(-451\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -838259\/60 - -13971. Let r(n) be the third derivative of -4\/3*n**3 + 1\/120*n**6 + 0*n**4 + 14*n**2 + 0 + 0*n + i*n**5. Calculate r(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k*n*z**3 - 2*k*n*z + 2*k*z**3 + 71*k*z**2 + 7572260*n*z**3 - 343*n*z**2 + 40 wrt z.\nAnswer: -12*k*n + 12*k + 45433560*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 150 - 149.53. Let g = k - -1.33. Sort g, 0.3, -1\/9, 4\/7.\nAnswer: -1\/9, 0.3, 4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49540, 49757, 49974, 50191, 50408?\n\"Answer: 217*o + 49323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -3*h - 2*y + 1700 - 1679, 27 = 5*h + y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*i = 2, -5*v + 0*i + 5 = 3*i. Let z be (v - 0) + 1140\/60. Let k(l) = l**3 - 6*l**2 + 6*l - 2. Let t be k(5). Solve -t*y = y - z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 59\/4 of a hour?\nAnswer: 53100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -758*p - 2270. Give c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2. Let n(i) = -4*i**2 - 2*i - 1. Let p(t) = -10*t**2 - 30*t - 2. Let y(o) = 2*n(o) - p(o). Determine c(y(l)).\nAnswer: 24*l**4 + 624*l**3 + 4056*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 59597 and 1.60387.\nAnswer: 59598.60387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g. Suppose -2027 + 1007 = 7*a - 1006. Sort 45, g, a, 5.\nAnswer: a, g, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 448 - 5045?\nAnswer: -46a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -40*b + 903. What is the remainder when 126 is divided by d(22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmxmqxbbbbqbbbbbbmmm?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 0 + 7\/2*h**4 + 185*h - 4\/7*h**2 - 54\/35*h**6 - 9\/14*h**5 + 64\/21*h**3. Solve n(m) = 0.\nAnswer: -2\/3, 1\/18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49689470 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 4*b + b)*(2*b**3 + 0*b + 0*b) + 2*b**4 - 4*b**4 - b**4 + 28 - b**4 - 28.\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1583 and -0.4.\nAnswer: 1582.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a - 20 = 0. Let l(h) = -h**3 + 4*h**2 + 5*h - 1. Let i be l(a). Let v(d) = -7*d**3 - d - 1. List the prime factors of v(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -125 + 132 + (-50)\/7. Sort 1, a, 4, 2 in descending order.\nAnswer: 4, 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -160 (base 7) to base 16\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2181317 or 2181307?\nAnswer: 2181317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 22*d**2 + 29*d**2 + 20*d**2 - 76*d**2. Let t(a) be the first derivative of -14*a**3\/3 + 4. Determine s(t(y)).\nAnswer: -980*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 26 = 3*x, -h = 2*h - x - 22. Let z(r) = -642433*r - 7 + 1 + 642434*r. Give z(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -9. Let k = -7 - -9. Let h(q) = 14*q**2 + 1 - 3*q + 3*q - 5*q**k. What is h(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 68413465, 136826938, 205240411, 273653884, 342067357?\n\"Answer: 68413473*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(10\/7)*l)\/l)\/l**(-5\/4))**(-2\/11) assuming l is positive.\nAnswer: l**(-131\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9650000 rounded to the nearest one hundred thousand?\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 52*i**2 - i + 1. What is the least common multiple of n(1) and 36?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*o**4 + 77480*o**3\/3 + 41774516*o**2\/3 + 92484400*o\/3 + 18490000\/3 = 0. Calculate o.\nAnswer: -1075, -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3463 - -4964. Suppose 520 = m + h, -2*m - h = -p + 464. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 193*q**2 - 2 - 44*q**2 - 4*q**3 + 3*q**3 + 0*q**3 to the form b + n*q + j*q**2 + k*q**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 8*i = 0. Suppose i = 3*s + 12, 5*s - 3*s = 5*u - 13. Suppose -3*j + 2 = -u. Solve l + 2 = -j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 69*z**3 + 11*z**2 - 16*z + 11. Let v(j) = -14*j**3 - 2*j**2 + 3*j - 2. What is 2*c(a) + 11*v(a)?\nAnswer: -16*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c - 2*c + 3*c)*(-4*c + 4*c + 2*c) + 2*c**2 + 0*c + 0*c + (-3*c + c + c)*(-4 + 0 + 7)*(4*c + 3*c - 5*c) as s*c + x + u*c**2 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, -3, -137, -4 in decreasing order.\nAnswer: -2, -3, -4, -11, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 7*u**2 + 4*u + 1. Calculate the remainder when i(-6) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*j + 17*j = 922 + 1267. Which is the nearest to j? (a) 5\/6 (b) 5 (c) -0.2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 0 - 7\/6*f**3 + 0*f**2 + 5*f. Let y(u) = u**2. Determine v(y(n)).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 9:22 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7597, 29552, 66143, 117370, 183233, 263732?\n\"Answer: 7318*f**2 + f + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 = 3*r + 6. Let h(w) be the second derivative of -1\/6*w**3 + 0 - r*w + 9\/2*w**2. Find the first derivative of h(a) wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 2. Let q(a) = -3*a - 11. Let z(m) = -m - 9. Let w(l) = 2*q(l) - 3*z(l). Give 5*n(d) - 2*w(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/21)\/z)\/(z**(1\/10)\/z*z)*(z**2)**(-15) assuming z is positive.\nAnswer: z**(-6541\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, c: 1, x: 4, d: 3}. What is prob of sequence dd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-34)\/(-5))\/((-72)\/(-390)) - (-70)\/(-84) is divided by (2 + -1)\/(1\/11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1303787, 1303743, 1303699, 1303655?\n\"Answer: -44*u + 1303831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12*96\/1728 + 52\/(-30)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a + 13. Let f(t) = -t - 1. Let b(l) = c(l) + 4*f(l). Differentiate b(m) with respect to m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -71 + 2 + 107?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42335126 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 7*g**6\/360 + 2*g**3 - 13*g. Let q(t) be the second derivative of j(t). Let p(z) = -4*z**2. Calculate q(p(n)).\nAnswer: 112*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77637 is divided by 11090.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*p**3 + 33*p**3 + 9*p - 78*p**3 + 9*p**3 - 9*p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 - 420\/(-50) - 186\/(-10). Suppose 12*p - 11*p - b = 0. Solve -3*j + 4*m - p = 14, -2*m = -3*j - 22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6664 is divided by 6607.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**2 - 28*m - 12. Let g(s) = -s**2 + s. Let k(z) = 2*g(z) - u(z). What is the hundreds digit of k(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -197, -131, -13, 175, 451?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, n: 5, g: 2}. What is prob of sequence hghn?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {l: 5, c: 3, a: 1, r: 1, j: 1, y: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*m + 24. Calculate the common denominator of 14\/(-10)*10\/(-12) and (-266)\/m - (-3)\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 158, 153, 136, 101, 42, -47, -172, -339?\n\"Answer: -p**3 + 2*p + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, g: 12}. What is prob of sequence glg?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 4*g + 2. Let n be p(-2). Suppose -2*s + 5*i + 148 = 0, -3*s + n*s + 72 = -2*i. Calculate the greatest common factor of s and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10715611 <= -10715613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o*o*o**0*o))**(-7\/5)*o*o\/(o*o**(4\/5)\/o*o*o)*o**(-1\/7)\/o)**(-5\/2) assuming o is positive.\nAnswer: o**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 33052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-4))\/l)\/(l**21*l))\/((l*l**4\/l*l)\/(l\/l**(2\/19))))**(-10) assuming l is positive.\nAnswer: l**(5720\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 265 = 5*x, 185 = 3*l - 2*x + x. Let q = l - 176\/3. Determine p so that 2*p**2 + q - 10\/3*p = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, o: 2, y: 2, g: 4}. What is prob of sequence gowg?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 + -0.4. Let x = c - -1.5. Let d = x + -1.5. What is the smallest value in -3, -4\/3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12032321 (base 4) in base 9?\nAnswer: 38015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 287.4774 millilitres in litres?\nAnswer: 0.2874774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d - 3. Suppose -3*a + 2*h - 7*h + 16 = 0, 5*a + 5*h - 20 = 0. Let y be (-15)\/10 + (-10)\/4. Let v = a + y. Determine c(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {w: 8, h: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8143.953mg to grams.\nAnswer: 8.143953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 19. Let a = r + 131. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 - 111. Which is greater: z or -260?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 3*d**2 + 8*d - 5. Let h be l(4). Suppose -b + h + 20 = -2*f, -4*b = 5*f - 111. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156 + -233. Let j = z + 81. Solve -3 + j = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 628993*y + 12 + 16 - 35. Let r be a(-1). Round r to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/7)*a\/(a*a**10))\/(a\/(a*a**10*a)*a\/(a**(-1\/5)\/a)) assuming a is positive.\nAnswer: a**(-57\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*f - 15 = 4*f, 5*w - 15 = 5*f. Let l be (w - -5*3)\/2. Calculate the highest common divisor of 63 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -61*z - 213. What is d(-2)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*f - 1949*f + 0 - 2.\nAnswer: -2522*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -11*c + 378. Give b(31).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*l = 16 - 86 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 126, 276, 486?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15429338.\nAnswer: 2, 7714669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*c**2 + 2*c - 14*c**2 - 374*c**2 to p*c + m*c**2 + g and give m.\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26 + 6380560?\nAnswer: 6380533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 735 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - 6*y + 4*y)*(2 + 1 - 1) - 3 + 509*y - 143*y + 302*y to b + k*y and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, p: 1, e: 2, t: 2}. Give prob of sequence tp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3 = -l. Let m be (6 - l - 0)\/1. Suppose -m*z + 0*z = -3. Solve -z = c + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/81)*h)**(-41) assuming h is positive.\nAnswer: h**(-6560\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -226, -333, -440?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -126, -251, -376, -501, -626, -751?\n\"Answer: -125*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 0. Let k = 34 + -32. Which is the closest to k? (a) r (b) -2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 388*a\/5 + 11934\/5.\nAnswer: -2*(a - 27)*(a + 221)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 483*w**2 + 14*w. Let j(t) = -t**3 + 161*t**2 - 4*t. Give -7*j(o) - 2*p(o).\nAnswer: 3*o**3 - 161*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 + 4*x + 2. Calculate a(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15*l + 74. Let v be z(-5). Let q be (7\/(-21))\/(1\/3). Let s be (-8)\/44 + (q - -1). What is the nearest to v in -2, -2\/3, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -250881, -249032, -247183, -245334?\n\"Answer: 1849*h - 252730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2725.77402 plus -380926?\nAnswer: -378200.22598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 + 2*f**2 + f + 3. Let u be s(-2). Suppose u = 2*t - 51. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 v, and 1 f when three letters picked without replacement from {p: 2, v: 4, n: 1, f: 3, s: 1, x: 4}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/8 - 1975*i\/4 + 28042.\nAnswer: -(i - 56)*(i + 4006)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -13171*i - 65850. Determine c(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q + 2. Let j(h) = 4*h - 5. Let r(n) = -2*j(n) - 5*s(n). Let b(i) be the first derivative of -2*i**2 + 19. What is b(r(y))?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 50252.15 nanograms?\nAnswer: 50.25215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1050\/60 - 15)\/((-4)\/(-56))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -61*h. Let i(j) = 2541*j. Give i(l(r)).\nAnswer: -155001*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1308)\/(-2943))\/((-2)\/(-8)*(-88)\/(-9))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5224436 is divided by 1768.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: e8 (base 15) to base 7\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 103539430 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36079596 and 3248.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*a - 2203 + 4984 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 4*i**2 - 2*i**2)*(-126*i**3 - 108*i**3 + 264*i**3) + 2*i**5 + 2*i - 2*i.\nAnswer: 62*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*p - 0*i + 1038, 0 = -3*p - 4*i + 1557. Let y = p + -3121\/6. What is the closest to 1 in 5, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/(2*sqrt(4)))\/(-1*sqrt(128) + sqrt(128) + sqrt(8)))**2*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5388 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, b: 2, k: 2, j: 1, u: 1}. What is prob of sequence jrkb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2924 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(5))*-4 - (4 + 2*(sqrt(5) + sqrt(125))).\nAnswer: -16*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1693 is divided by 134?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000141919506 to 7 decimal places.\nAnswer: -0.0000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1554, -4038, -7452, -11796, -17070, -23274?\n\"Answer: -465*j**2 - 1089*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 421925253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5 = 1, -o = -4*n - 2516. Is 15 a factor of 1\/(((-28)\/n)\/((-20)\/(-3)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 23\/8 of a tonne?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.032 - -2.0320893. Round w to 6 decimal places.\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 + -36 + -61 - (-3 + -62).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 10*b + 7. Let u be c(9). Let f be (10\/(-25))\/(u\/10). Suppose 2*y + 36000 = -f*y. Round y to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**6\/120 - 29*c**5\/60 + c**4\/8 - 43*c**3\/6 - 134*c**2. Calculate the remainder when p(29) is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*r + 5*r = 18, -3*f - 26 = -5*r. Let c be 0 - -3*(-1)\/3. Put f, c, -4 in decreasing order.\nAnswer: c, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -183 (base 13) to base 4.\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3142, -3142, -3144, -3148, -3154, -3162?\n\"Answer: -i**2 + 3*i - 3144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 - 60\/16. Let x = -2114\/20805 - 4\/1095. Which is the nearest to -1? (a) w (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8962835?\nAnswer: 5, 7, 36583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -112*p. Let b(t) = -10*t - 9. Let z be (-24)\/10 + 18\/45. Let h(k) = -k - 1. Let a(n) = z*b(n) + 18*h(n). Calculate a(j(f)).\nAnswer: -224*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*(0*k + 6*k - 4*k) + 3*k - 6*k - 4*k + (4 + 2 - 4)*(2*k - 2 + 2) - 1 + 1 + k to v*k + p and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(2\/27)\/1. Let t = -5 - 0. Which is the smallest value? (a) n (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2546 and 3.\nAnswer: 3.2546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 304, 0, -3 in descending order.\nAnswer: 304, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 1035.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 5. Let f(t) = t**3 - 7*t**2 + 6*t + 1. Let g be f(6). Let r(y) = -2*y - 28. Let l be r(-12). Let v(w) = 1. What is g*c(x) + l*v(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(68)\/sqrt(4) - (-1 + sqrt(17)*4).\nAnswer: -3*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 74?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -223?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -710585861353950 - 0\nAnswer: -710585861353950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 - 4 = 0. Let d(c) = -c**3 + 5*c**2 + 7*c - 2. Let k be d(6). Let i be (-1)\/((-30)\/k) + (-85)\/75. Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -43*g - 1. List the prime factors of d(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -293.3 - -293.25. Which is smaller: v or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10355217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 + 2*w - 2. Let p be c(-4). Let h be (-12)\/p - (-906)\/14. What is the highest common factor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2696*v + 18860. Calculate i(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/13, 0.1, -10\/3, 98\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let u(v) = 4979*v**2 - 3771. Determine u(n(x)).\nAnswer: 4979*x**2 - 3771","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.65 + 0.45. Suppose -26 + 2 = -4*f. Let p = f - 4. Put x, 0.4, p in ascending order.\nAnswer: x, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 1, 4\/293, 3?\nAnswer: 4\/293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2*1*68\/(-4216)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 104051, 208100, 312147, 416192, 520235?\n\"Answer: -f**2 + 104052*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 74. Suppose 38 = -27*r - 64 + 129. Which is the biggest value? (a) 2\/3 (b) t (c) r (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4850 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -12*y**2 + 6*y - 7. Let t(a) = -a**2 - a - 1. Let h(v) = 5*t(v) - x(v). Let s be h(8). Let b = s + -205. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*d + 7. Let k be ((-2)\/1 + 0)*d. Suppose q + o = -6 + k, -20 = -3*q + 5*o. Solve 0 = -3*r + 5*j + 26, q = -2*r - j + 3*j + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.42 - 0.68. Let i = r + -5.9. Let m = i - -27.000007. What is m rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -796963.7 + -31.\nAnswer: -796994.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*n + 18, -5*n - 11 = 2*i - 31. Solve -3*b - 5*k = -2*b + 19, i*b - 5*k = 25 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 3. Let j be 125\/(-150) + (-70)\/60. Let v = -0.25 - -0.33. Which is the biggest value? (a) v (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/3 + 14015688*t**4 = 0. Calculate t.\nAnswer: 0, 21023532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 2:37 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27453, -54904, -82355, -109806, -137257, -164708?\nAnswer: -192159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-4) - 8\/32. Suppose 3*g - 6*g - s = 0. Let j(f) = -f**3 + 2*f**2 + 2*f + 1. What is j(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 4*g - 429 = -423, 0 = -2*f - 3*g + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4)*-3)\/(4\/((-8)\/(-13)))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.005 (b) 19.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-9) + (-32)\/(-6). Determine i, given that -40*i**5 - g + 50*i**3 + 27*i**4 - 38*i**2 + 7*i**4 + 9 - 10*i = 0.\nAnswer: -1, -2\/5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - -69. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 12 = -3*k - 2*z, -5*z = 20. Suppose 17*t - 13*t = k. Suppose 3*j + 9 - 45 = t. Calculate the highest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**2 - 2*p. Let w be k(1). Suppose -w*r + r = 0. Suppose r = 5*s - s - 116. Calculate the remainder when 56 is divided by s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.7, 0.2, -27 in descending order.\nAnswer: 2, 0.2, -0.7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htdvhthvhttdvthhhth. What is prob of picking 3 t?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, e: 6}. Give prob of sequence he.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(-1)\/2*(-36)\/(-855). Let n = -92 - -96. Let m = -3\/14 + 12\/7. What is the fourth biggest value in m, f, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330373?\nAnswer: 37, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u + 67*u + 432 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15\/59 (b) -1\/2 (c) 0.5 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, w: 3, n: 1, v: 10, i: 1, z: 2}. Give prob of sequence winw.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + ((-16)\/(-12))\/((-16)\/(-84)). Solve -5*v - 127 + 152 = f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-644) + (-15930)\/690.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 14*l - 8 = 0. Let d be -1*(-2 - -2)\/(-3). Suppose 3*f = -0*f - p + 12, d = 2*f + 4*p + 2. Which is the biggest value? (a) l (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Suppose -96 = -x*g - 2*g. Let q be (-2)\/5 + g\/10. Solve q = -0*h + h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2304 + 6525 = 0. Suppose 5*b = 4*v - 3531, 281 = -3*v + b + j. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 440709350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4135, 4114, 4093, 4072, 4051?\nAnswer: 4030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9958087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 7*j + 10. Let n(l) be the second derivative of -l**3\/6 - l**2 - l. Let d be n(-10). Let r be s(d). Solve -v - r*v = -3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*r + 37, 5*f - 2*r + 3 = 86. Suppose -4*m = -7*m + f. Put m, -5, 0 in decreasing order.\nAnswer: m, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-6)\/2)\/(20\/5)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 4*z - 91 = -0*l, 27*l - 4*z - 395 - 309 = 75 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -83 - -9a?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1234, 2491, 3748, 5005?\n\"Answer: 1257*w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oell. What is prob of sequence ll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 3:49 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i + 108 = -60 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -673*d**2\/2 - 1928*d - 1098. Differentiate y(m) with respect to m.\nAnswer: -673","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 0 + -3 + 5. Suppose f = 2*t - 637 - 1641. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-15)\/4))\/(182\/78).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/12 + v**3\/3 + v**2 - 3*v. Let i be y(0). Solve 3*b - 2 = -i*m + b, -4*m - 2 = b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q = 4*m - 540, q + 407 = 3*m. Let t = m + -133. What is the units digit of -3 + t + 1 - -120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 7*h + 0*h)*(2474 - 2474 - 323*h).\nAnswer: 2584*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 67833.49?\nAnswer: 67817.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.35 - -1.86. Let m = w - -3.19. What is the nearest to -3 in -4, 1\/2, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 17832.\nAnswer: 89160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 + 8*p + 3. Let k be j(-3). Suppose -1 = -2*m + 3. Suppose -2*b - k*b**2 + 0 + 0 + 4*b**m = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + s + 12 = 2*s, 5*s = 4*r + 2. Suppose 186 = 5*w - 2*y, w = 4*y - 1 + 49. Let x = -18 + w. What is the highest common divisor of x and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**5\/60 + 4*m**2. Let z(j) = 4*j. Give z(s(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*x = -7*x + 5, -5*z - 3*x = -8. Let c be z\/(-1) + 222\/3. Suppose 5*s - c = -0*r - 3*r, -4*s - 2*r = -58. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564*m + 480*m - 1967 - 2873 = 1132*m for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -56. What is the remainder when w is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1064*t**2 - 3*t. Let v be k(-2). Let h be v\/(-9) - (-2)\/(-9). Suppose -f = -319 - h. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294095335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323*r - 1 = -324*r. Let g(y) be the first derivative of -8\/15*y**3 + 1\/10*y**4 + r - 4\/5*y + y**2. Factor g(u).\nAnswer: 2*(u - 2)*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292622826 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*(sqrt(320) - (sqrt(320) + sqrt(320)*-1*4)) + 0)**2.\nAnswer: 2048000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239\/(-118)*-2*2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: db (base 15) to base 7\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825868 is divided by 2134.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**8\/6720 - k**7\/840 - k**6\/180 + k**5\/40 - k**4\/8 - 3*k**2. Let g(l) be the second derivative of o(l). What is g(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/5)\/((-1)\/((-10)\/6))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 16 = -4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 7 = 48*r - 49*r, 3*r + 4*q = -25 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 30 + 20. Let g be (10 - 0)*(-12)\/i. Let b = g + 18. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 1 + k - k. Let u(t) = 3*t + 3. Let h(w) = 2*o(w) + u(w). What is h(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10085010 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, l: 1, z: 10}. What is prob of sequence kkl?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4287360 a multiple of 1402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**3 - q**2. Let c(a) = -a**2 + 6*a + 6. Let r be c(7). Give p(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -5, -0.2, -4.85, 0, -8, 1.6?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1a4328 (base 13) to base 15\nAnswer: -d2607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/2 + 9159*c**3 + 41879454*c**2 - 588108892*c.\nAnswer: c*(c - 14)*(c + 9166)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-14) - 15\/105. Let i = w + 8. Calculate the highest common factor of i and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 4*t - 32 = 0. Suppose 0 = 5*q - h - 427, q + 7*h - 75 = t*h. Let y = 91 - q. Is y <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, -232 in increasing order.\nAnswer: -232, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 330 = -6*k + k, -4*s + 5*k = -246. Suppose 0 = v - 5*v - 172. Let d = s + v. Calculate the greatest common factor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.5, -6.2, -3 in increasing order.\nAnswer: -6.2, -3, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4094\/95313?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + n - 6 + 13 = 0, 31 = 5*j + 2*n. Solve -g - j = 5*a, 0*g - 15 = 2*a + 3*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efeeeefefe. What is prob of sequence effe?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 764 = -2*m - 922. Let i = -517 - m. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-14)*(-48)\/96.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 6*l - 2*l + q, 2*l + 2*q + 4 = 0. Let m be -2*1\/2 + 9. Solve -8 = -l*f + g + 4*g, -m = -5*f + 3*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in -3, 0.3, -2\/1103, 5?\nAnswer: -2\/1103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95597965231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/23, 22\/5, 1, -5, -1\/2, 248?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otcztciotczcct. What is prob of sequence tt?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s - 4. Let w(u) = -2*u - 3*u - 9*u - 5 - 6. Determine 8*m(g) - 3*w(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.242*3.8.\nAnswer: -50.3196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-7 + 5)) + -5 - 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 346699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 22 = y - 3*n, -5*y - 3*n = -182. Calculate the highest common divisor of y and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/7)\/n*n*n*n)\/n)**(-5\/3)*(n**(-4\/7)*n)\/n**(-7\/2))**(-13\/2) assuming n is positive.\nAnswer: n**(-1495\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 327862091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1707.205 rounded to 0 dps?\nAnswer: -1707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*v**4 - 1506*v + 1506*v + (-v**3 - v**3 + 0*v**3)*(2 + 2*v - 2) + v**3 - v**4 - v**3 - v**4 - 4*v**4 + 2*v**4.\nAnswer: -43*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*r**2 + 0 - 5*r.\nAnswer: -r*(r + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -9\/486904?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2776653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g - 2*g + 11*g)*(-3 + 2 + 0)*(-4*g + 0*g + 0*g) + 3*g - g - g - 3*g**2.\nAnswer: 9*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1107 - 574. Let b = 226 + f. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 166 + -165.9999981. What is b rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9419 and 72?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008651061 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 8*w**2 - 5 + 5*w**3 - 12*w**2 - 5*w**3 + 2*w**3. Determine j(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.201 - 0.036?\nAnswer: -0.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from wwppcpwwwwwpwpwwwcw.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2534 + 3?\nAnswer: 2541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 850.826 and -147?\nAnswer: 997.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 120, 72, -58, -312, -732, -1360, -2238?\n\"Answer: -7*y**3 + y**2 - 2*y + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.302 less than or equal to -215\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -7, 4 in ascending order.\nAnswer: -7, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3100 = -2*w - 3*w, 2*t = -5*w + 1540. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 14*l**2 - 3*l - 103. Let m be y(13). Solve -m*b = -28*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26264 divided by -1\nAnswer: -26264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1010 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 + 2*j + 4*j - 50 + 304 + 300.\nAnswer: 6*j + 417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 29\/8, -15, -413.\nAnswer: -413, -15, 0, 29\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 39*n = 16*n - 15054. What is the remainder when n is divided by 176?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9599, 9352, 8939, 8360?\nAnswer: 7615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00500515 take away 9.5?\nAnswer: -9.50500515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -77*u**3\/6 + 391*u**2\/2 - 135*u. Find the first derivative of d(l) wrt l.\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -697*i**4 + 13*i**4 - 141*i**4 + (4*i**2 - i**2 + 0*i**2)*(3*i**2 - 4*i**2 - 2*i**2).\nAnswer: -834*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 3*v - 9, i - 12 = 5398*v - 5394*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**3\/2 - 3*u**2\/2 - u. Let r be y(-3). Suppose 0 = 4*t + t - 210. What is the highest common divisor of r and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7424 is divided by 177.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225183 is divided by 7071.\nAnswer: 5982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5159937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**6*l*l*l*l**(-1)\/l*l*(l**(1\/2)*l)**(-35\/6))\/((((l*l*l\/(l\/l**(-1))*l)\/l)\/l**(-3\/4))\/(l\/l**(-2\/5)*l**(-1\/4)\/l)) assuming l is positive.\nAnswer: l**(-27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3232 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.55755189 rounded to three dps?\nAnswer: 1.558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6902725 and 11600.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 2*d + 1208 - 9292.\nAnswer: -d - 8084","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*r - 169 = -63*r + 1316 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 394\/53 - 17359\/2385. Let v(y) be the first derivative of -37 - k*y**5 - 1\/6*y**4 + 10\/27*y**3 - 1\/3*y + 5\/54*y**6 + 1\/18*y**2. Factor v(t).\nAnswer: (t - 1)**3*(t + 1)*(5*t + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 13*u**2 - 4*u. Calculate b(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34263 - -35750. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1998 - 1977. Solve a + 4*p = z, -5*p + 1 + 22 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -2 - (10 + -3). Let p be (2\/12)\/(n\/36). Let i(m) = -m**3 + 7*m**2 + 7*m + 9. Let x be i(8). What is the second biggest value in 2\/15, x, p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6836, 6837, 6838, 6839, 6840, 6841?\nAnswer: 6842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - -237286?\nAnswer: 237307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 451 - 46455\/103. Is i equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y + 9. Let i(p) = 9*p + 8. Let g(l) = 6*d(l) - 7*i(l). Suppose 2*q + 6 + 0 = 0. What is the units digit of g(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.16 + 9.83. Sort 1\/3, -0.3, q in decreasing order.\nAnswer: 1\/3, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16667638165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3 = 3*s, -5*t + 0*t = 3*s + 3. Let p be s\/8*(-10 + 8). Put 0.1, -2, p in descending order.\nAnswer: p, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2) + 238\/28. Let o be -1*2\/(-4)*8. Suppose o*k = k + 6. Solve 2*h - n*h = k*j + 12, -5*j = -h + 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57378, -2, 259 in decreasing order.\nAnswer: 259, -2, -57378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -15. Let q(o) = -4 - 7*o**3 + 4*o - o**3 + 14*o**3. Let n(t) = -13*t**3 - 9*t + 9. Calculate j*q(f) + 4*n(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012566921011 rounded to four dps?\nAnswer: 0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*v + 11 + 17 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.9491392 rounded to 0 decimal places?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0190580941 to 4 dps.\nAnswer: 0.0191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 88, -7, 5.9?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -b + 115. Does 23 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245 divided by 933317\nAnswer: 35\/133331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 28*r + 15. Let a(w) = 34*w + 15. Let s(f) = 4*a(f) - 5*t(f). Let o(c) = -3*c - 14. What is 3*o(z) - 2*s(z)?\nAnswer: -z - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-1144)*(-2000)\/20 - -3*(-2)\/6?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3001157?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 32*a**3 + a**3 - 3*a**2 - 8*a**3 - 21*a**3 - 4*a**2 + 8*a. Let j(r) = -r**3 + r**2. Calculate -5*j(k) - s(k).\nAnswer: k**3 + 2*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 530575*b**3 - 633197 with respect to b.\nAnswer: 1591725*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + k - 1 = 0, -y - 2 = -2*k - 0*k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14333, -14298, -14253, -14204, -14157, -14118, -14093?\n\"Answer: -k**3 + 11*k**2 + 9*k - 14352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1604966.\nAnswer: -1604968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -5538f?\nAnswer: -55391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z - 1. Let o be j(1). Suppose 3*h + o = 10. Solve -5 = -5*b, -11 = 3*w + h*b - b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + 0 + 5*(2 + sqrt(3)) + 4 + 1 + sqrt(3)*-2 + -4 + (-2*sqrt(18))\/sqrt(6).\nAnswer: 5*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*a**2*m - 15*a**2 - 10120*a - 5*m**4 - 5643*m - 80 wrt m.\nAnswer: -11*a**2 - 20*m**3 - 5643","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-18))\/(23\/69)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 157646 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -329*h - 86. Let d be p(5). Let r = d - -2776. List the prime factors of r.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 260.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6568376.\nAnswer: 2, 19, 79, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -474 - -473.663. Let v = -0.063 + n. Let l = 5 - 4.7. What is the third smallest value in 0.02, l, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**4\/13 + 84*q**3\/13 - 738*q**2\/13 - 3024*q\/13 = 0.\nAnswer: -3, 0, 21, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.42 in 15, 4, 26.92?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.273083 to 2 dps.\nAnswer: 96.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6 + 57\/(-9). Let k be (-4)\/d + (-196)\/(-12). Calculate the greatest common divisor of k and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 698186906 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p = 3. Suppose -r = v - 14, 2*v - 1 - p = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 5*l, 4*l - 6*l = -4*n - 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 1:16 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*c. Suppose c = 3*r + 2*u - 11, 3*r = r + 4*u - 14. Find the first derivative of r + 0*j - 3 + j wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 410688?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/5*2848\/40. Which is greater: g or -17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 k, and 2 t when four letters picked without replacement from {k: 1, v: 1, t: 3, i: 5, w: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13795 and 268615.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -205 divided by 5\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/((-320)\/(-1100)) - 26. Factor 3*y**2 - 15\/2*y**3 - b*y**5 + 6*y**4 + 0 + 0*y.\nAnswer: -3*y**2*(y - 2)*(y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35157068 to the power of 1\/2, to the nearest integer?\nAnswer: 5929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/24*-3)\/((-105)\/84)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 163, 572, 1373, 2698?\nAnswer: 4679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*b + 24 = -58*b + 59 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*c - y, -3*c - 5 = 4*y - 4. Let u = 9 - c. Calculate the smallest common multiple of 7 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 12:09 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a - 48. Let y be b(-6). Solve 3*h = 2*l - 4, 20 = -4*l - y*h - h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2522 is divided by 280.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*i*x**3 + 2322*i*x**2 + 298694*x**3 wrt i?\nAnswer: -9*x**3 + 2322*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220972775 is divided by 1124.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 590825299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177298 and 19294?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 5643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*((-4)\/18 + 615\/(-270)). Suppose -6*u = -u - 10. Suppose u*p - 5*z - 100 = 0, 81 = 4*p + z - 75. Solve 4*r = 4*a - 0*a - p, 4*r + 45 = w*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02735 plus -0.228?\nAnswer: -0.20065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2324196 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**4 + 4*l**3 - 667*l**2 - 2242*l + 95304 = 0.\nAnswer: -19, 12, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p - 11. Let z(u) = -3*u - 7. Let b(l) = -5*f(l) + 7*z(l). What is b(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z = -8. Suppose 3*t = -z*t + 98. Suppose 0 = t*u - 16*u + 26. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.311 to one dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.848 + -24. Let p = h - -0.3552. Let s = 0.2 - p. Round s to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12 = 5*f. Let n(j) = -7*j**3 - 2. Let s(k) = -15*k**3 - 5. Calculate f*s(h) + 5*n(h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60\/19 - -449\/76. Let g = -5\/4 + q. Let t = -127 + 887\/7. Is t bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196183575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 23?\nAnswer: 16.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhmhmmhhmmmmhmmmhhh. What is prob of sequence mmm?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 342523157 to the power of 1\/2, to the nearest integer?\nAnswer: 18507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -2 + -2 - (-4 - (2 - 11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 16. Let n be r(-11). Find the third derivative of -n*a**5 + a**2 - a**5 + 3*a**5 wrt a.\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s + 2*s - 257 = -1848. Solve -19*d - 39 = s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/24864 and -149\/148176.\nAnswer: 10965024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(390)*-2)\/(sqrt(60)\/sqrt(24)))\/((-1*-2*sqrt(3) - -1*((sqrt(3) - sqrt(6)\/sqrt(2)) + sqrt(3)))*6)*4.\nAnswer: -40*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {r: 7, n: 5, u: 1, l: 3}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.4 + 32.705. Round g to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 13. Let i be f(10). Let h be 7*(2 + 24\/(-14)). Solve -3*j = a - 3, i*j + a + h*a = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10360 divided by 5?\nAnswer: -2072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 o, and 2 x when four letters picked without replacement from aaaxzzazxoazzzzzxx.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 4*k - 15, -2*j - k - 550428 + 550434 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -21\/8, 1.2998, 12?\nAnswer: 1.2998","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**6\/120 - h**5\/20 + 215*h**3\/6 - 136*h**2. Find the first derivative of c(v) wrt v.\nAnswer: -3*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**4\/12 + 7*z**3\/6 - 9*z**2. Let n be v(5). Which is greater: -9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - (sqrt(132)*-4)\/sqrt(6))\/(sqrt(11) - (sqrt(396) + -1*sqrt(396))).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25177 + -25135.588. Let q = l - 42. Let y = q + 0.6. Round y to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3283 a factor of 541383202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -21*n**2 - 2*n + 48. Let b(o) = 5*o. What is p(b(a))?\nAnswer: -525*a**2 - 10*a + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 19, -5, 0, -9, 2.\nAnswer: -9, -5, 0, 2, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q**2 - 2*q)*(5 - 4 - 2)*((0 + 1 - 2)*(-2 - 2 + 3) - 14 + 12 + 33).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049334077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 < -0.642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 5*a + 4. Let v(m) = 7*m**2 + m - 1. Let l be v(2). Suppose 6*w - 148 = -9*w - 643. Let i = l + w. Give k(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8433 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*k**2\/3 + 7024*k\/3 + 2008\/3 = 0. Calculate k.\nAnswer: -2\/7, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 29 = 31 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(800) - 2*sqrt(800) - sqrt(800)) + sqrt(15)\/(sqrt(125)*2).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 902007023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 23\/6, -4\/7, -1412\/5 in descending order.\nAnswer: 23\/6, -4\/7, -4, -1412\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 6. Suppose i*y + 10 = 8*y. Let o(d) = 0*d - 6*d + 0*d + 4*d - y. Determine o(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(2\/7))*l**(-4)*l**(-6)*l**(-7))\/((l**(3\/7)*l)\/(l**(-4)\/l))**(-20) assuming l is positive.\nAnswer: l**(783\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 6*s + 6. Let l(n) = 7*n**2 + 2*n - 1. Let k be l(1). What is the units digit of c(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -168*t + 384. Let z(q) = -34*q + 80. Let m(s) = 5*p(s) - 24*z(s). Let n(r) = -6*r - 7. What is m(n(a))?\nAnswer: 144*a + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22392 - 79074 - 6804 = -2005*h for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*q - 283*q + 112 = -563*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/16 and 53\/2244?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-9)*(-3)\/(-1). Let z(t) = -9 + 5*t**2 + 2*t**2 + 21*t - m*t**2 - 10*t. Let y(a) = 2*a**2 + 6*a - 5. Let o(g) = -5*y(g) + 3*z(g). Factor o(x).\nAnswer: -(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a - 4. Is 21 a factor of s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 + 17711*u\/2 - 372813.\nAnswer: (u - 42)*(u + 17753)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62169400 by -5.\nAnswer: 12433880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**4 - 200*m**3 + 9746*m**2 - 101200*m + 165048 = 0.\nAnswer: -138, 2, 13, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 186459860*g. Let o(z) = -2*z**2. What is o(q(d))?\nAnswer: -69534558782439200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (2 - (-2 + 4)) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*12*8\/32.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106214937.\nAnswer: 3, 4463, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) -1\/3 (c) 106 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462373.\nAnswer: 462373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 9 = -3*u. Let d be ((-64)\/(-96))\/((-1)\/6). Put -2, d, u in increasing order.\nAnswer: d, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80783 is divided by 6210?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/4 (b) 0.2 (c) -4 (d) 1 (e) -1\/4 (f) -17 (g) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24.068 and 1.2.\nAnswer: 28.8816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.01301 * -35\nAnswer: -0.45535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -q - 985, -4*q - 1576 = -3*w - 106. Is 39 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.8971895 milliseconds to days.\nAnswer: 0.00000009140265625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106056 is divided by 3928?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -133 + 133. Suppose -6*j = -s*j - 390. Suppose 59*m = j*m + 18. Sort -4, -1, m, 1 in ascending order.\nAnswer: -4, m, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1509?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 1148, -2, -16 in descending order.\nAnswer: 1148, -2, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/90)\/((30\/25)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 5. Let a(c) = -2*c - 8. Let x(w) = -5*a(w) + 8*d(w). Let r(s) = 0 + 0 - s**2 + 2*s**2. Calculate x(r(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 101 = -234. Let m = p + -64. Factor 62 - 5*f**4 - 15*f**2 + 15*f**m - 62 + 5*f.\nAnswer: -5*f*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 3*w - 89. Let n = 18821 - 18745. Calculate the smallest common multiple of n and w.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1693 - 8507\/5. Let h = i + 447\/55. What is the closest to 0.1 in 4, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.302577kg in micrograms?\nAnswer: 9302577000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77528 by 19382.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 59*n - 2132 = -64*n, 5*n = 20. Calculate the highest common factor of u and 704.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5067 = -j + 5*x, 12*j - 10*j = -4*x + 10148. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(378) + -1*sqrt(378))*4)\/(sqrt(600) - (sqrt(600) - (sqrt(600) - -6*(-1*sqrt(600) + sqrt(600) - sqrt(600)))) - 5*1*sqrt(600)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 97*a - 99*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 2.8, -2\/31, 4, 6\/29?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 = -7*r. Let b(x) = -4*x**3 + 3*x**2 - 2. Let d(k) = -2*k**3 + k**2 - 1. Calculate r*b(i) + 5*d(i).\nAnswer: -2*i**3 - i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + t + 5. Let s(h) = -2*h**3 + h**2 - h - 11. Let z(g) = -5*i(g) - 2*s(g). Let x be z(-2). Solve -15 + 3 = x*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 0.246.\nAnswer: 0.01968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 20. Let w be d(-15). Is -6 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*h + 0*h - 161 = 0, -5*s + 4*h - 202 = 0. Let f = s + 145. Calculate the remainder when 276 is divided by (104 - f) + (35 - (1 + 0)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2976 by 992.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1. Suppose 20*t - 24*t - 24 = 0. Let a(c) = -6*c + 5. Let z(w) = t*u(w) + a(w). Let v(j) = 5*j. What is 3*v(y) + 2*z(y)?\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*y + 521*y - 164*y.\nAnswer: 638*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 4, b: 1, v: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210430*i + 107400*i + 103028*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -896622 and 0.\nAnswer: -896622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235, -234, -233, -232, -231, -230?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6820635125?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**4\/12 + o**3 - 13*o**2\/2 + 3*o. Is 14 a factor of f(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4036, -4048, -4074, -4120, -4192, -4296?\nAnswer: -4438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71528892 divided by 5178.\nAnswer: 13814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -8667*r. Let h(t) = 5*t**2. Determine h(j(k)).\nAnswer: 375584445*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 20. Let k = a - 1. Calculate the highest common divisor of k and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**3 + 2298781 - 2298781.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6\/19 (b) 0 (c) -5 (d) -4 (e) 3 (f) 1386\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and -3898.\nAnswer: 7406.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20125 + -18910. Is b bigger than 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 144\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i - 3*i + 0*i. Let h(o) = 16*o + 35. Let y be h(-2). Let f(s) = -3*s**2 - y*s**2 - 266*s + 266*s + 4*s**2. Determine l(f(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14819 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**5 - 25*l**4 - 40*l**3 - 20*l**2 - 4*l - 4. Let s(c) = -5*c**5 - 25*c**4 - 40*c**3 - 20*c**2 - 3*c - 3. Let d(f) = 3*b(f) - 4*s(f). Factor d(i).\nAnswer: 5*i**2*(i + 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5, -735\/11, 0.5, 3 in decreasing order.\nAnswer: 5, 3, 0.5, -1\/2, -735\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298486*b - 19*f + 48 = 298488*b, f = 2*b - 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2 + 10. Suppose l - r = -l. Suppose 3*k - 22 = -j - 4*j, 4*k - 40 = 4*j. Calculate the highest common factor of l and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23\/8 of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqyqyfyqyfx. What is prob of sequence qf?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - d**2 - d**2)*(7 - 4 + 6).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*i = 11, 21 = -143*i + 140*i. Is q greater than or equal to -13\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 652082*h**2 - 6852*h + 18.\nAnswer: 2*(571*h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 1. Let r(l) = -l + 1. Let a(q) = -3*o(q) + 4*r(q). Let s be a(2). Is 12 a factor of s*44\/(-5)*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 675, 1196, 1455, 1320, 659, -660?\n\"Answer: -22*c**3 + c**2 + 672*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*b**3 - 44*b**3 + 1 - 1.\nAnswer: -207*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a = 0. Suppose a + 2 = -2*v. Let x = 53\/5 - 361\/35. Which is bigger: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 565 - 84476?\nAnswer: -83a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*p**2 - 3*i**2*p - 2*i*j*p**2 - j*p**2 + j*p - 42*p**2 - 2*p - 58 wrt p.\nAnswer: 2*i**2 - 4*i*j - 2*j - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 17 - 40 = 0. Let y = 27 + -27. Suppose -k*d + 19*d + 656 = y. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 99. Let u(t) = 15*t - 1285. Let r(i) = 40*n(i) - 3*u(i). Let z be r(-34). Solve z = a + 61 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*28\/98)\/(6\/(-63))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*u + 164 = -0*f, 3*u - 84 = -f. Suppose 21 = -3*i + f. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 + 78*j**3 - 354*j**2 + 482*j - 204.\nAnswer: -2*(j - 34)*(j - 3)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 4:24 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 71*d**2 - 224*d + 154. Let y be s(74). Solve y*v + 42*v - 144 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*d + 1 - 2*d)*(20*d**3 - 5*d**3 - 7 + 6).\nAnswer: 15*d**4 + 15*d**3 - d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-2)*(3355\/(-165))\/(-61).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4\/13 + 30*i**3\/13 - 262*i**2\/13 + 24*i = 0.\nAnswer: -13, 0, 3\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161 + 162. Let u be 32\/(-192) - (-2)\/(-6). Sort -1, -2\/35, u, y in descending order.\nAnswer: y, -2\/35, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 298502 - -5\nAnswer: 298507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-1575))\/((-38)\/((864\/68)\/2) + 6)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 14. Suppose 3*k + 7 = -2. Let u(v) = -19*v + 3. Let y be u(k). Let z be (-6)\/(-9) + y\/(-9). Calculate q(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q. Let i(x) be the first derivative of x**2\/2 + 3*x + 2. Let j(o) = 2. Let n(c) = -2*i(c) + 3*j(c). Determine b(n(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -4. Suppose 0 = -2*y - y. Suppose u = -y*u + 17. Calculate the remainder when u is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5809112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5\/4 (b) 0.3 (c) -0.5 (d) 0 (e) -0.044 (f) 2 (g) 1341\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -5, 2 in decreasing order.\nAnswer: 5, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(4\/15))**(-23) assuming f is positive.\nAnswer: f**(-437\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyv when three letters picked without replacement from {y: 3, v: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 23*m. Let b(f) = 11*f. Suppose 2*q - 12 = 4*a, -3*q - 2*a - 15 = -1. What is q*z(h) + 5*b(h)?\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*j - 3*j + 557, 0 = 5*w - 5*j + 665. What is the units digit of (10\/(-15))\/(4\/w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496897381?\nAnswer: 496897381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2032944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*1\/(-2) + 0. Let r be -1 - f - (2 - -9). Let j = 20 + r. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3497 divided by 3.\nAnswer: -3497\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-29)\/p)\/(p\/p**(-1\/2)*p) assuming p is positive.\nAnswer: p**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -h + 5*k, 5*h - 10*h + 9*k - 7*k = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -599, -2049, -4869, -9515, -16443, -26109?\nAnswer: -38969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s**23*s)\/s)\/(s**(-16)*s*s) assuming s is positive.\nAnswer: s**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 9:04 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 m, and 1 r when four letters picked without replacement from myxmxryyry.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18130711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/89, 0.1, -1 in ascending order.\nAnswer: -1, -2\/89, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.656 and 39257?\nAnswer: -25752.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**3 - 4*i**2 - 6*i - 7. Give m(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 169*z - 805*z + 1546*z + 1204*z to p*z + i and give p.\nAnswer: 2114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from eneeqtqgqqyeeq?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3740 = 3*q - 8*q. Let y = 117 + -42. Calculate the remainder when q is divided by y.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14606616 (base 7) to base 3\nAnswer: -2121222210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 460 and 60.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*r = 0, 0 = -3*y + r + 4*r - 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -150*w + 157*w + 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 80?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -60, -67, -78, -93, -112?\n\"Answer: -2*o**2 - o - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, -2, 2\/17, 26, 454?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 14*j + 8. Let k be l(14). Suppose k*o + 36 = 2*o. Calculate the common denominator of (-266)\/(-36) - o\/9 and -67\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629092217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -5. Suppose 44 = -s*w - j, -2*w + 5*j - 60 = 3*w. Let u = w - -22. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -11 - 10*w + w**2 + 2 + 0*w + 7. Let a be t(9). Is a greater than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, -689, -2832, -7043, -14012, -24429, -38984, -58367?\nAnswer: -83268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7\/((-126)\/24))\/((-1)\/66492*3).\nAnswer: 2, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -41, -63, -85?\n\"Answer: -22*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 24. Let p = 3 - o. Is 1 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.3770886 kilometers?\nAnswer: 377.0886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/2 - 105*h + 216.\nAnswer: -3*(h - 2)*(h + 72)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/(-154))\/(2\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 364\/104*3\/((-6)\/(-80))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*y - 23 = 0, 0 = 4*h + y + y - 22. Let f be 786\/(-21)*(1 + h). Let r = f + 225. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201224198 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 44. Suppose 0 = -4*i - 5*a + 112, -i - x*a + 2*a = -31. Find the second derivative of -2 - i*o + 9 - 7 + 23*o**2 wrt o.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -270\/121787?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-2 - (4 - 14))) + 45\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -38 and -227.9?\nAnswer: 189.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14030, 14036, 14046, 14060, 14078?\n\"Answer: 2*w**2 + 14028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121 + 22202200?\nAnswer: 22201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -35 - (-61 + 60).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -5*f**3\/3 + 5*f**2\/2 + 10*f + 2. Let s(k) = -4*k**2 + 5*k + 9. Let b(h) = -3*c(h) + 4*s(h). Calculate b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0072737 rounded to 4 dps?\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 31. Let k(i) = 6*i**3 + 6*i**2 - i - 5. Let y be k(q). Let r = y + 490. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**5\/60 - r**4\/3 + r**3 - 39*r**2\/2 - 57*r. Let q(z) be the first derivative of f(z). Calculate q(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 5*w + 694, 3*l = -5*w + 2 + 521. Let c = 9152 - 9133. Calculate the highest common factor of c and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**3 + 24*x**2 - 147*x - 714. Calculate g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -2*d - 8, 0 = 4*d + i - 4*i - 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 4277834.\nAnswer: 55611842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/20 (b) 1\/2 (c) -1010\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -405 - -1?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)*-1 - sqrt(80))\/sqrt(5))\/(sqrt(24)\/sqrt(3)*-5 + sqrt(8)) + -1)*1.\nAnswer: -1 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + 4*sqrt(125)) + ((sqrt(15) - sqrt(1500)*-1)\/(sqrt(6)\/sqrt(18)))**2)*-3.\nAnswer: -16311 - 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2474, 4935, 7348, 9689, 11934, 14059, 16040, 17853?\n\"Answer: -4*r**3 + 2489*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 27. Let f(p) = p - 1. Let g = 144 + -24. Let x be 6*5\/g*4. Let a(r) = x*v(r) + 2*f(r). Differentiate a(y) wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 27*r - 8. Let a be y(6). Let i = -22 + 36. Calculate the greatest common divisor of a and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37485162 and 429?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 895 = 28*g + 1823 - 1292 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 4*i**2 - 5*i - 2. Let k be 4 + (-4)\/4 - 4*2. Determine z(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1304760?\nAnswer: 2, 3, 5, 83, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 837 = -u - z, 0 = -2*u - 4*z + 1668. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 136? (a) -0.5758 (b) 2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*i + 133 = 21*i + 621. Suppose 5*s - 35 = -3*r, -5*s + 37 = 5*r - 8. Solve -r*o - 15 = 6*k - 4*k, -i*o - 5*k - 12 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62380*h*j**3 + 840*h*j**2 - 7*h*j wrt j.\nAnswer: 374280*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + w. Let d(y) = y**2 - 2*y - 13. Let l be d(5). Let c(t) = -16*t**2 - 6*t + 7*t**l + 6*t**2. Determine -c(o) - 6*r(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -78.\nAnswer: -77.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 33240780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3437 times -1.4\nAnswer: -0.48118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1012362 + -2?\nAnswer: 1012360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*b + 5*f + 14, 5*f + 17 = 3*b. Let w be b*(-5 - (-1)\/(-1)). Let l(j) = -w*j**2 + 7*j**2 - 5*j**2. Let x(i) = -2*i. Give x(l(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10391466 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s*s**1*s))\/s)\/s*s**(1\/2)*(s**(-1))**(3\/4))**(-13) assuming s is positive.\nAnswer: s**(273\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133 - 53. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7671247 is divided by 138.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vndcnnnndndnnddn. What is prob of picking 1 n, 1 c, 1 d, and 1 v?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.7, 2\/21, -0.3, 41, 0.04?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*j + 3*z, z + 2 = -5*j + 28. Suppose 15*r = s + 14*r + 1, 3*s + j*r = 37. Solve -s*y = -x - x + 14, 0 = 2*y - 4*x + 22 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1442*j**4 - 4*j + 2010.\nAnswer: 17304*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1107, -3\/28, 2, 2\/31, 0.4, -3 in decreasing order.\nAnswer: 2, 0.4, 2\/31, -3\/28, -3, -1107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - 0.01. Let p = 20 - 20.0325. Let x = p + v. Round x to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkk when three letters picked without replacement from wkwwkkka.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 7. Let k(j) = 2 + 2*j**3 + 0*j - n*j**2 - 9*j + 10*j. Calculate k(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2072634 and 798?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + (sqrt(28)\/sqrt(4) + -2 - sqrt(7)))**2 + ((sqrt(700)*-1)**2 + sqrt(700) - sqrt(70)\/(-1*sqrt(10) - sqrt(10)))*5.\nAnswer: 105*sqrt(7)\/2 + 3500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = 27*i - 72. Solve 2*k = k + 3*s + 7, -6 = i*s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, i: 3, b: 4, a: 6}. What is prob of picking 3 a?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50809.\nAnswer: 11, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*x + x + 6, 5*x + 2*q + 12 = 0. Let t be ((-3)\/15*-5)\/(x\/(-10)). What is the greatest common divisor of 55 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -763709 * -13.5\nAnswer: 10310071.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -135 or -4\/769?\nAnswer: -4\/769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.7 + -3. Let v = 0 - h. Which is the smallest value? (a) v (b) -3\/4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 + 2*w**2 - w. Let r be -517 - 3 - (1 + -6). Let y = r + 516. Calculate j(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1716)\/468 - (1 + -7). Let n(r) be the first derivative of 2*r**4 + 5 + 0*r - f*r**3 + 0*r**2. Find the third derivative of n(y) wrt y.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8480824 by 44.\nAnswer: 192746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, j: 11}. What is prob of sequence jju?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*d = -164*d + 30. Let l be (-2 - 125\/(-60))\/(2\/6). Sort d, l, -0.4, 1.6 in decreasing order.\nAnswer: d, 1.6, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 12*a = -11*a + 730, -179 = -v + 2*a. What is the remainder when v is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, b: 2}. What is prob of picking 2 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5046*q**4 + 5*q**3 + 5*q - 5999. Let s(p) = -7569*p**4 + 8*p**3 + 8*p - 8998. Let v(w) = 8*j(w) - 5*s(w). Differentiate v(x) wrt x.\nAnswer: -10092*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14070109.15 to the nearest ten thousand.\nAnswer: -14070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4021 is divided by 143.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 5*g**4\/6 + 35*g**3\/3 + 95*g**2\/6 + 696. Suppose n(p) = 0. What is p?\nAnswer: -19\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-8085)*14)\/((-2)\/(-15))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 2*z - 2. Let n be l(-5). Suppose 0 = -4*u + 1 + 11. Suppose -34 + n = -u*s. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*x + 2*x**3 - 2*x**2 - 3*x**3 - 139*x + 265*x - 19*x**4 + 13 - 7 in the form a*x**3 + w*x + m*x**2 + d + s*x**4 and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 121 + 11. Let l(s) = -2*s + 12. Let n be l(5). What is the lowest common multiple of o and ((-2)\/n)\/((-1)\/2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 503257309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j**2 + 30*j + 1. Let b(i) = -2*i**2 + i - 1. What is -b(y) - d(y)?\nAnswer: 12*y**2 - 31*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15, 26, 51, 96, 167, 270, 411, 596?\n\"Answer: n**3 + n**2 + n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -170 - -393. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(3\/8))\/w**(-3\/7)*w**(-1\/4)\/(w\/(w\/(w\/(w**2*w)))) assuming w is positive.\nAnswer: w**(157\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y + 27. Let z be h(-11). Suppose l - 3*l = r - 291, -4*r = -z*l - 1177. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 7*v - 2. What is q(-10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146004 and 1490216.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33887, 67776, 101669, 135566?\nAnswer: 169467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by 1.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/11 - 138488*b\/11 - 12757824\/11.\nAnswer: 2*(b - 69336)*(b + 92)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 4:47 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -681 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356285 - 11615 = -77*j + 5737*j for j.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -16, -3, 4, -1 in ascending order.\nAnswer: -16, -3, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 4*h - 7. Let n be f(-8). Which is bigger: 26 or n?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4 + 214*w**3 + 11229*w**2 - 23976*w - 34992 = 0?\nAnswer: -108, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + (sqrt(228) - (sqrt(228)*-2*1 - sqrt(228))))\/(-3*sqrt(972) + sqrt(972))*-2.\nAnswer: 5*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-2)\/1554*2*-3?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 21*g - 23*g. Factor 4\/5*m**3 - 4\/5*m**g + 14\/5*m - 2\/5*m**5 + 4\/5 + 16\/5*m**2.\nAnswer: -2*(m - 2)*(m + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110102210 (base 3) in base 16?\nAnswer: -236a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38b65 (base 13) to base 11\nAnswer: 72048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 0, -1936*d + 1937*d + 11 = -4*k + 29 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 + 6.2. Let b = 4 - z. Let p(a) = -a**3 + 4*a**2 + 14*a - 7. Let w be p(6). What is the nearest to -0.3 in b, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 - 3*y - 4*y**2 + y + 15*y**4 - 33*y**4 + 17*y**4 - 2 as v + f*y**3 + w*y**2 + g*y**4 + p*y and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 1, i: 7}. What is prob of sequence ii?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (3 - 0))*1. What is the remainder when (-1 + -57)*z\/8 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 12:12 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -11.7. Let l = g - -0.8. Suppose -p - 44 - 5 = 5*q, -5*p = 20. What is the biggest value in -2\/13, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 2*g**2 - g + 7. Let a(h) be the third derivative of -h**4\/8 - 2*h**2. Let r be (-4)\/(-3)*9\/(-6). Determine r*u(c) - 3*a(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/5284 and -41\/52.\nAnswer: 68692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4952.52395 rounded to the nearest one hundred?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -392 + 390. What is the smallest value in 30, q, -2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66 + 28.47.\nAnswer: 94.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3644, -6920, -10198, -13478, -16760, -20044?\nAnswer: -23330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 9. What is the units digit of j(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100405761 divided by -6?\nAnswer: 33468587\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 - c**2 - 2*c - 1. Suppose 0 = -0*h + 4*h + 4. Let f be l(h). Find the third derivative of 122*v**6 + 2*v + 6*v**2 - f*v - 130*v**6 wrt v.\nAnswer: -960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*g - 104*g - 78*g + 17138 = 0 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = l - 9, -2*l + 21 = 2*s - 7*s. Suppose 2*o + l = 5*p + 3*o, -5*p + 11 = 2*o. What is the greatest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -48. Suppose -5*a + 80 = 5*p, 3*a = -5*p - g + 120. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8301837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9342.586 hours to minutes.\nAnswer: 560555.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240573*j - 240955*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63924 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w**3 + 12*w**2 + 44*w + 154. Determine r(-6).\nAnswer: 1618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 14, 38, 72, 116?\n\"Answer: 5*m**2 - m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**3 - 4*l**2 + 2*l + 7. Let b(m) = -m**3 + m**2 - 1. Let f(s) = 5*b(s) + x(s). Let j = 1885 - 1886. What is f(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 14 = -1. Let l = 238 + -237. Sort 0.4, l, u, -0.5.\nAnswer: u, -0.5, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -212, 65, 810, 2257, 4640, 8193?\n\"Answer: 39*n**3 + 4*n - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -16. Let q be 4\/(0 + 6 + o). What is the third derivative of j**4 + 8*j**4 - 5*j**q - 7*j**2 + 3*j**4 wrt j?\nAnswer: 288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 88. Let u(a) = 9*a. Let t(i) = 25*i. Let c(h) = -6*t(h) + 17*u(h). Give c(j(y)).\nAnswer: 6*y - 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 34 = -11*v. Let x = 8 - 4. Suppose -p - 2*y + 9 = 0, -v - x = -4*p - 3*y. Solve 1 = -5*t + a + p, -3*t + 5*a - 12 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 596 + -596. Solve 0 + 2 = 5*f - d, y = 2*f + 3*d - 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 12. What is t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -173*j + 1. Give y(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3 - 8*z**2 - 229*z - 220 = 0. What is z?\nAnswer: -11, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6\/13)*p*p*p\/(p\/p**(3\/4)))**(-2\/13)*(p\/(p\/(p\/(((p\/(p**3*p))\/p)\/p))))\/(p\/(p\/p**0))*(p**(-1\/4)\/p*p*p)**(-9) assuming p is positive.\nAnswer: p**(-745\/676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -8*b + 14*b. Calculate the lowest common multiple of 24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2121301321 (base 4) to base 13\nAnswer: 190915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58263?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3426027?\nAnswer: 3, 11, 17, 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -261a + 27a9?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, -2\/3, -35, -0.1 in increasing order.\nAnswer: -35, -2\/3, -0.1, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10082\/105 + -1472\/15. Let z = -12\/5 - t. Let q = 36 + -250\/7. What is the nearest to 1 in -0.1, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -21. Suppose -3*y + 13 + 23 = t. Solve -2*a - y = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 534820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 978499060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -593825471*m**4 - 1146*m**2 - 4143*m - 1.\nAnswer: -14251811304*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381, 2509, 8127, 18981, 36817, 63381, 100419, 149677?\nAnswer: 212901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 404861558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 20 + 12 = 0. Let c be 2\/(-12) + x + (-172)\/(-24). Is c - (-1 - 687)*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -28 + 6 + -5 + -33 + (35 - 12)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -10. Let m = 20 - o. Suppose 2*n + 5*w - 4 = n, 2*n + 5*w - m = 0. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -210 - -209.7. Which is the closest to -2? (a) 33\/4 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9775272, -9775277, -9775282, -9775287?\n\"Answer: -5*w - 9775267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -310.4 and 2425?\nAnswer: -752720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2 + 65*q - 6. Let y be o(16). Solve 5*i - 3*i + 15 = -3*w, i - y = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -603*c - 18 = -599*c - 5*r, -c = -r + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgzgzazgzzazag. What is prob of picking 4 g?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 + 68 = 0. Let f(d) be the third derivative of d**5\/20 + d**4\/8 + d**3\/3 - 12*d**2. What is the remainder when s is divided by f(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 7:41 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = 2*y - b + 67, 0 = 5*y - b - 543. Let g = 144 - y. Suppose -4*z = g - 203. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*y**2 + 1\/5*y - 12\/5.\nAnswer: (y - 3)*(y + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 68, -5\/6, 1\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -387, -391, -397, -405, -415, -427, -441?\n\"Answer: -z**2 - z - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 10:22 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/((-3)\/(-6))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/9, -3\/8, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1295.38 + -1312. Let z = -0.38 + a. Let k = z + 12. What is the second smallest value in 0, k, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2670, 10971, 24808, 44181, 69090, 99535?\nAnswer: 135516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 5*k - 18. Let j be h(3). Suppose -j*x - 308 = 148. Let y = -22 - x. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 8 = -5*o, 92*q = 90*q + 5*o - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 5*n**2 - 5*n + 2. Let s be t(3). Suppose -2*r + r = -w + 1, -s*r + 2*w = 2. Suppose 3*i + 3*i = r. Are 4\/13 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*j + 1 + (1 + 4 + 0)*(0*j - 3*j + j) - 6 + 6 - 2*j + 3 - 3 - 2*j in the form m*j + c and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/3 - 2*h**4\/3 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x**2 - 23*x - 51. Let w be z(-8). Let t = 706 - w. Put 4, 3, 118, t in ascending order.\nAnswer: t, 3, 4, 118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -17*l**3 - l**2 - 2*l - 1. Let z be t(-1). Suppose 5*i = z - 2. Suppose i*a = 146 - 44. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 14308*h**2 - 20553730*h + 8370120224.\nAnswer: -2*(h - 5392)*(h - 881)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a century in decades?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2182 + 2998 = 21*o for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*q + 1, 0 = u + 3*q + 146. Let l = u - -178. Let i(s) = 37*s - 2. What is the remainder when i(2) is divided by l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 2. Suppose -5*p = -4*k + 389, -p + a = -k + 88. Does 4 divide (-14)\/p - 130\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 + 2. Let a be (-2)\/8 - (-21)\/4. Let c(l) = a + l**2 + 9*l**2 + 2. Calculate -2*c(z) + 7*g(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1411488 divided by 29.\nAnswer: -48672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j**(3\/5))\/j*j*j**(-4\/3))\/(j**(-6)\/j**(-3\/2)))\/((j**(4\/7)*j)**1)**49 assuming j is positive.\nAnswer: j**(-2137\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a hour in seconds?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**2 - 144860*w - 144865 = 0. What is w?\nAnswer: -1, 28973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/30 and 9\/(-24) + 1322\/240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 761564 - 1410554 = 0. Let j = m - -8727882. What is j rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m - 9. What is a(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g = -25*g + 531. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1099 - 1001. What is the greatest common divisor of 154 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*((-12)\/(1 + 5) + 4). What is the second derivative of -9 + 5671*t**u - 5 - 135*t**5 - 5671*t**4 - 4*t wrt t?\nAnswer: -2700*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 17\/51 + 197\/3.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a gram in milligrams?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (10 - (-1 - -5) - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*f - 319*f = 217*f - 11592 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -17. Suppose o*x - 16 = 12. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 - 3*t**2 + 5*t - 2. Let w(s) = s**3 + 11*s**2 - 4*s - 54. Calculate the smallest common multiple of k(3) and w(-3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 29*c + 222. Determine v(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.6 + 5.6. Which is the closest to -2\/5? (a) 1\/3 (b) i (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 32*n + 11*n = -4433. Do n and 162 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*h**2 - 95*h**2 + 274*h**2 - 106*h**2.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 970, 1134, 1598, 2512, 4026, 6290, 9454?\n\"Answer: 25*b**3 - 11*b + 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48291 - -28191. What is l rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/8, -388, -0.06, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 0*f + 0 + 9*f - f**2 + 2*f**2 - 7. Let i be x(-10). Solve q - 4 = i*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-204)\/(-85))\/4)\/(1\/((-5)\/(-1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 7*n + 14. Let p be o(3). What is the third derivative of 0*a**5 - 30*a**2 - 2*a**5 + 76*a**p - 2*a**5 wrt a?\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2. Let q be 0*3\/((-18)\/(-3)). Let n(r) = -r + 3*r + q*r - 5*r. Give a(n(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.16518mm?\nAnswer: 2165.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*x**3 - 1492779*x**2 - 186597*x = 0. Calculate x.\nAnswer: -62199, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0459 - 0.0261. Let r = -66.5 - -67. What is the biggest value in -1\/6, r, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**4 - 15 - k**2 - 2*k + 13 + 3*k**2 + 0*k**2 + 5*k**3 to n*k**2 + x*k**3 + q*k**4 + l*k + d and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = 3*n - 10, 14 = t + 4*n. Suppose t*p - 2 = p. Solve p*k = -k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -269, -281?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**5\/10 + 5*s**4\/6 - 4*s**3\/3 - s. Factor y(m).\nAnswer: -2*m*(m - 4)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011111 + 101000011000?\nAnswer: 100101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlrpi. Give prob of sequence lp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3132*n - 147167. Calculate c(-47).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {h: 1, y: 5, j: 5, x: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1819060 divided by -454765\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-10) - 4\/20. What is the units digit of (1\/(2\/(-16)))\/a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1601 - 15.0301. Let s = 15 + o. Let u = s + -0.2. Which is the second biggest value? (a) u (b) 5 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 37 = -k, k - 4 = -4*f + 39. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 0.397, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 95*0.367\nAnswer: 34.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41\/64 + 313\/960. Find the common denominator of g and 40\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1714964.\nAnswer: 2, 428741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o)\/o**(1\/6) assuming o is positive.\nAnswer: o**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5817 - 5894 - 4138\/(-54).\nAnswer: -10\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + 1.5. Which is the nearest to -1\/4? (a) 1 (b) -6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -90? (a) -1 (b) -15 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - -1*sqrt(363)) + -1 + sqrt(3)*-1.\nAnswer: -1 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/88*6\/21.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3*n - 79, 3*n - n = 4*i + 72. Let z = 20 + i. Is z <= 9\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 3. Let a(u) = 12*u - u**2 - 7*u - 5*u. Determine a(v(q)).\nAnswer: -q**2 + 6*q - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 + 15.04. Let o = b + -15.11. Let h = o - -0.21. Do -3\/8 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 + -95. Let u = 62 - w. Suppose -3*x - 5*j + 4 = -1, -2*x + 5*j = -u. Solve 0 = x*p - 10*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5*v - 30 + 40 = 0, 3*v = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a tonne in kilograms?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32 + (0*4\/(-24) - 3). Solve w + 25 = -18*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-170)\/(-6) - (-1)\/(-3). Let d(n) = -n**2 - 59*n - 570. Let t be d(-13). Let g = t - z. Solve 2*x + 0*x + 4*s = -18, 5*x - 3*s + 19 = g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/35 and 18690.46 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103625666 to the nearest integer?\nAnswer: 10180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 3 - 2)*(-3)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**2\/2 + w - 128. Let l(n) = 2*n - 9. Determine 4*a(f) + l(f).\nAnswer: -2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i. Let q(v) = 174*v**2. Give j(q(z)).\nAnswer: 348*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2594.4 - -2595. What is the nearest to -9 in 0.5, d, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/23667 and 157\/90.\nAnswer: 710010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.1723537ms to minutes.\nAnswer: 0.000036205895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6*m = 30, 2*k - 122*m + 117*m = -14. Let x(c) be the first derivative of 3\/7*c**4 + 10\/7*c**2 - 8\/7*c**k - 2\/35*c**5 - 2 - 6\/7*c. Factor x(l).\nAnswer: -2*(l - 3)*(l - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16413324*x**2 + 638*x - 5546.\nAnswer: -32826648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b + 41. Calculate u(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -4 (b) 233 (c) -43317\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 810 + 5\/2*p**2 + 90*p.\nAnswer: 5*(p + 18)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 7*l**3\/3 - 3*l**2\/2 + 1. Let o(f) = -19*f**2 + 18*f**2 - 5*f + 7*f**2 + 6*f**2 + 2*f**2. Determine 5*b(g) - 3*o(g).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.6544671 rounded to two decimal places?\nAnswer: 123.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrm when three letters picked without replacement from mhmmmmrymhmmm?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 569363 and 731.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 s when three letters picked without replacement from siizszsvzsvs?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -37, -3, -0.27, 2, 1?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 32*v = 120 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 10*q**3\/3 - 35*q**2\/2 - 9*q. Let d(u) = u - 1. Let z(b) = -25*d(b) + p(b). Is z(-13) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from eexeloe.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142663179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, -3, -0.2 in increasing order.\nAnswer: -5, -3, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2529 + 4740. Calculate the greatest common factor of k and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 13*d**2 + d - 13. Let u be o(13). Let k(r) = 3*r. Let y = 3 + -1. Let x be k(y). Solve x*s - s + 15 = u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4259, 4420, 4577, 4730, 4879, 5024, 5165?\n\"Answer: -2*r**2 + 167*r + 4094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7729 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 11*k + 7. Is v(8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 64, 72, 80?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -2\/9 (c) 16 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (-2*sqrt(1300) - sqrt(1300)))*4)**2 + (sqrt(13) + sqrt(325)*-3)*-1.\nAnswer: 14*sqrt(13) + 332800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**5 + 2*f**5 - 2*f**5 + (-f**4 + 4*f - 4*f)*(0*f - 2*f + 4*f).\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -24. Does 27 divide 93 - (v + 5 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 9:18 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*q - 2*q. Suppose -2*r + q = -2. Let c be 2 - (-5 - 0)\/1. Solve -j - 26 = 2*y - 5*j, -3*y - r*j = c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -165 - -167. Let r(x) = x**3 - x**2 + x + 30. Let i be r(0). Suppose q + t = 17, -k*q + 2*t + i = -0*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(-1\/6)))\/n)\/(n*n**(-10)*n)*n**(3\/11)\/((n\/n**(-8))\/n))**(-5\/8) assuming n is positive.\nAnswer: n**(185\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.3 (c) 0.4 (d) 0 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13460*w**3 - w**2 - 145*w - 1 wrt w?\nAnswer: -80760*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.78913 + 0.78913. Let g be ((-4)\/42)\/(6\/(-9)). Let s = 569\/5 - 113. Which is the closest to s? (a) 3\/5 (b) g (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.3, -489, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -460465*x**4 + 6*x**3 + 6*x**2 - 114155980*x?\nAnswer: -5525580*x**2 + 36*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.84 - 0.16. What is the closest to 0 in -3, w, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9335330 - -1?\nAnswer: -9335329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + -19 + 44 + (0 - -19) - 94.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 47.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-72)\/(-34))\/12)\/(24\/16). Let o = -6.3 - -1.3. Sort -0.1, j, o.\nAnswer: o, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.05 - 1.265. Round p to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42760703 to the power of 1\/3, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 37 + 37. Let p be i - (-4 - 0) - (-2 + -1). Solve -20 = -5*d - 5*x, p*d - 3*d + x = 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - t. Let w(z) = 13*z**3 + 3*z**2 - z - 2. Let l(f) = -2*k(f) + w(f). Let v be l(1). Suppose -2*s - s = -q + 8, v = -4*s - q. Sort -2, 4, s.\nAnswer: s, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1609369176 to the nearest integer?\nAnswer: 40117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 1. Suppose -b = 4*b. Let o(a) = b*a + 4*a - a**3 - a - 4. Let s(f) = -6*n(f) + 2*o(f). What is the first derivative of s(c) wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11236 a multiple of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 237, 523, 873, 1281, 1741, 2247, 2793?\nAnswer: 3373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6*t = -10*t - 8, 3*t = -2*u + 11. Solve -2*d = u*x - 5*x + 6, -2*x = 2*d - 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5 (c) -0.23 (d) 1\/8 (e) 301996\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*q - 10 = -67*q. Let i be -1027 - (41 - 6)\/q. What is i rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 425.02 + -0.027726.\nAnswer: 424.992274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iigglggiggiglggz. What is prob of sequence zlii?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 992, 2378, 4400, 7106?\nAnswer: 10544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 33*q - 57. Is n(-14) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - (-11)\/(308\/40)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 925000*q**2 - q - 2. Let r be (-39)\/15 + 2\/(-5). Let o be r\/6 - (-21)\/(-14). Let y be a(o). What is y rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 6. Suppose -j*w + 0*h - 4*h - 4 = 0, 4*w - 4*h + 12 = 0. Find the common denominator of -57\/8 and (-2)\/w + 103\/(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 - j**3 + 5*j**3 + (-j - j + 0*j)*(j - j - 2*j**2) + 3 + 2*j**3 - 3 + j**3 - 10 + 1 + 2.\nAnswer: 9*j**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.52601 rounded to 2 decimal places?\nAnswer: -1.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*f*m**5 - f*m**4 + 1226*f*m**2 - 51*m**3 - 4*m**2 wrt m.\nAnswer: -960*f*m**2 - 24*f*m - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7530 and 8610.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-99))\/((-2)\/3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6256)\/(-3519) + 38\/(-18))\/((-1 - -3)\/246)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.7 - -0.3. Let l be 8\/12 + (-2)\/6. Let q = -121531\/6 + 607649\/30. Which is the third smallest value? (a) q (b) l (c) 0.1 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k + 9991507 = 74*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/8 + 0\/1. What is the first derivative of 4*n**3 + 5 - 4 - 3*n**v + 1 wrt n?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 16*p + 32. Determine l(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 407577085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (562\/(-2810))\/((-2)\/(-170)*-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/((t**6*t)\/t)))*t)**(4\/17)*t**(-9)\/(t\/(t\/(t\/(t\/t**11)))) assuming t is positive.\nAnswer: t**(-356\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(8\/(4\/(-1))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m - 4. Let t be r(-7). Factor -3*l**2 - 7 - t + 15*l**2 - 6*l**2 - 3*l**3 + 12*l.\nAnswer: -3*(l - 2)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 0*p - 2*p)*(-4 - 2 + 4) + (311 + 368 - 619)*(7*p + 0*p - 11*p) as b*p + y and give b.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**5\/5 - 66*d**4 - 167*d**3 - 284. What is the third derivative of r(m) wrt m?\nAnswer: -24*m - 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(1 - 4\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**3\/6 + 5*y. Let l(w) = -2*w**2. Calculate l(t(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 15*g + 36. List the prime factors of m(7).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2262222424.06 + -16.74.\nAnswer: -2262222440.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 3*d + 5. Calculate n(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.47134 and -6901?\nAnswer: 6902.47134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001516 to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15290435 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g + 2*g - 21*g - 44*g.\nAnswer: -40*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -6. List the prime factors of 154\/6 + (-2)\/p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 49392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 7*f + 8. Let t(s) = 9*s**2 - s. Let n be t(1). Let b be w(n). Let h(j) = -j + 6. What is h(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -257b?\nAnswer: -2585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 2, t: 1, v: 1, z: 1, c: 1}. Give prob of picking 1 z and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 813 = -5*z, 0 = 3*f + 5 + 1. Let k = 505 + z. Let r = -1999\/6 + k. Find the common denominator of r and 37\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1. Let t(s) be the first derivative of 7*s**2\/2 - 24*s + 20. Let j be t(3). Let l(z) = z + 1. Calculate j*q(f) + l(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-201 - (-367 - -112))*(0\/1 + 1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16787\/15 + -1119. What is the second biggest value in -2\/17, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 360*k. Let c(p) = -86*p**2 + 13*p + 1. What is c(s(g))?\nAnswer: -11145600*g**2 + 4680*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**3 + 2*s + 4*s**3 + 7*s**3 - 13*s**3 - 15*s**2 as l + u*s**2 + y*s + b*s**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 41813 + 0*h + 17812 + 3*h**2 - 59625.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h = 50*h - 156. Let o(t) = -4*t**3 + 7*t - 3. Let i(s) = -3*s**3 + 6*s - 3. What is h*i(v) - 5*o(v)?\nAnswer: 2*v**3 + v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (-42)\/11 - (-27)\/33. List the prime factors of (-1148)\/(4\/((-4)\/r) - 1).\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m. Let b(p) = p - 6 + 3*p + 6. What is j(b(g))?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1303006.587 to the nearest one thousand.\nAnswer: -1303000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 14. Suppose 30 = 5*i - 0*i. Let l be h(i). Suppose l*u - 3*u - 100 = 0. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 695 divide 3790530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.602 + -8161469.57.\nAnswer: -8161467.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + 3*t)*(3 + 1 - 1)*(-626*t - 22571 + 22571).\nAnswer: -1878*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-512802)\/(-42) + -2 - -9 - 6\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.92165 rounded to 1 decimal place?\nAnswer: 78.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y + 19*y = 379*j - 374*j - 705, 5*y + 75 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/56 - (-588)\/(-48)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 0*q**3 + 0*q**5 + 0*q**6 + 0*q**7 + 0*q + 1\/896*q**8 + 0*q**4 + 0 + 5*q**2. Factor t(f).\nAnswer: 3*f**5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - -2. Let o be 26\/10 - s\/(-30). Suppose -4*q + 73 = -o*q - 2*x, 3*x = 3*q - 204. What is the greatest common factor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**7\/21 - r**4\/4 + 11*r**2\/2 + 3*r. Let p(n) be the first derivative of y(n). Find the second derivative of p(q) wrt q.\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00560929 rounded to four decimal places?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -8, -1\/9, 5 in decreasing order.\nAnswer: 5, -0.01, -1\/9, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1)*b)\/b)\/(b\/((((b**(-2\/33)\/b)\/b*b*b)\/b)\/b)))\/(b\/b**(-3\/4)*b**(4\/3)) assuming b is positive.\nAnswer: b**(-943\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11111 (base 2) to base 14\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3804*g**6*w + 3*g**5*w + 36*g**2*w + g**2 + 3 wrt g.\nAnswer: 456480*g**3*w + 180*g**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -726? (a) -1 (b) 0.3 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*h = -262*h - 168 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -317923.\nAnswer: -3\/317923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7501?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*z = -741, -4*z = -5*j + 2*j + 443. Suppose -501 - j = -5*u. Does 26 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oolsm. Give prob of sequence ms.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -10557*y**2 + 8*y + 4. Let x be q(6). What is x rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m**2 + 2*m + 4*m**2 - 4*m**2 + 7*m**2 - 2 - m**2 - 2*m**3 as s*m**2 + d + g*m**3 + v*m and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 61382854.\nAnswer: -61382860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2818*g + 11266. Calculate n(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-7)*h*h\/(h\/h**(-10)))\/(h**7*(h**(-1\/14)\/h)\/h))**(-39) assuming h is positive.\nAnswer: h**(11427\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l + 11*l - l**2 - 7 - 3*l. Let r be b(9). Solve -4*h + 4*c = 0, 3*h - r = 2*c + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a. Suppose -r - 2*r + 9 = 0. Differentiate -4 + r*b**3 + a + b**3 wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13820*r + 13713*r + 1605 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167958 or 167939?\nAnswer: 167939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 14*k - 20. Let p be f(11). List the prime factors of (351\/(-45))\/p*(-214 - 1).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*q = 4442 + 7940 - 3607 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3 + 42*k**2 - 765*k\/4 - 23409\/4 = 0. Calculate k.\nAnswer: -9, 51\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(20) - sqrt(60)\/(sqrt(3) - sqrt(3)*2))\/(sqrt(160)\/sqrt(4)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 2285 - 2495 = 0. Suppose g*b = 5*i + 39*b - 21643, -b = -2*i + 8652. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(20) - (sqrt(180) - sqrt(20))) - -5*sqrt(320))\/((sqrt(48) + (2*sqrt(432))\/sqrt(9) + sqrt(48) + sqrt(48))\/(sqrt(12) - sqrt(192)*6))*3)**2.\nAnswer: 933156\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 431 + -377. Suppose -147 = -4*d - 3. Calculate the greatest common factor of i and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -11. Let z = -6 - -6.03. Which is the second smallest value? (a) -0.3 (b) z (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/40 + 46\/10. Suppose -j*g + 2*g = -45. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385803 is divided by 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*m + 33 = -3*c, -3*c + 3*m + 81 = 0. Let b be c\/18*(-3)\/(-2). Let d be b - (-7 - 9\/(-3)). What is the highest common divisor of 15 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 413\/1494 - 9\/166. Let b = -9.23 - -0.23. Let m(z) = -z + 4. Let w be m(0). What is the closest to b in g, 5, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + k + 4 - 9, -5*a + 45 = -5*k. What is the remainder when 340 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-3)*9\/6. Solve 2*j - 2 = w*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -7. Suppose -q - b*q + 5*w = -29, 0 = -5*q + 4*w + 57. Solve r = 3*n - 10 - 1, -r + 4*n = q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 40 + 26)*(3*m**5 + 0*m**5 - 5*m**5).\nAnswer: -28*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-1 - -13)) + (25 - (1 + 10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - 317\/3. What is the fourth biggest value in -4, 4, 5\/4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16606645, -33213291, -49819937, -66426583?\n\"Answer: -16606646*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 243, 245, 257, 285, 335, 413, 525?\n\"Answer: v**3 - v**2 - 2*v + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 109450 divided by -50\nAnswer: -2189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3 + (-226)\/(-3). Let q be 1\/3 + u\/6. Let c = q + -8. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 117 + 9. Calculate the greatest common factor of 98 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -8*s - 4. Let i be 12\/(-10)*(-4 + -1). Let l(u) = u - 2*u - 3 - 16*u - 6. Let j(c) = i*l(c) - 13*o(c). Determine j(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 5\/2, -0.1, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*r - 802*r**2 + 0*r + 24*r.\nAnswer: -802*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f - 5*f + 20*f - 3*f + 2*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 12:14 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35482.\nAnswer: 2, 113, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 934731*y**2. Let t(a) = 5*a**2. Give i(t(l)).\nAnswer: 23368275*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 497823 and -0.5.\nAnswer: -248911.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85255 and 183515.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 461, 448, 423, 380, 313?\n\"Answer: -r**3 - 6*r + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v. Let o(h) = -21*h - 3. Determine o(k(w)).\nAnswer: 21*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1670967 and 2732013?\nAnswer: 3609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 71 * 2.429\nAnswer: 172.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4585, 3.3, -1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (133824\/3520)\/(-51) - 1\/(-55).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*o**2*v**4 + 72*o**2*v**2 + 3*o*v**2 - v**6 - 31*v**3 wrt v?\nAnswer: -120*o**2*v - 120*v**3 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s + 14 = -g, -3*g - 52 = -4*s. Let o = g + 18. Let v(x) = -x**3 - 2*x**2 - 2*x + 2. What is the units digit of v(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -2 - 14 - -4. Let p = h + 0. Round p to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*h - 0*h + 798, 4*h = -8. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*g + 6 = -4, -2 = -3*o - g. Suppose -5*k + 4 + 11 = o. Suppose u = 2*j + 2, -4*j - 5*u + 1 + 9 = 0. Solve 5*v - k*v = j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 558 - -3?\nAnswer: 55b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1294633 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.738 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 8*g**7\/35 - g**6\/20 - 71*g**4\/6 - 258*g**2 + 2. Find the second derivative of n(v) wrt v.\nAnswer: 576*v**2 - 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 4*p + 2722 - 9014, 5*p - 5039 = -4*q. List the prime factors of q.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 + 2*b + 1. Let v(s) = 5620*s**3 + 2739*s**2 + 10*s + 5. Let o(k) = -5*d(k) + v(k). Find the third derivative of o(w) wrt w.\nAnswer: 33660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 10*c**3 - 1. Let j be x(1). Let h = j - 9. Let q(l) = -l. Let v be q(h). Is v equal to -2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5*p - 8*p + 8*p = 3 + 7, 0 = -w - 5*p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1180463 is divided by 1180336.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 1\/4, -13, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1863)\/414*1\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 3*x + 4. Let g(t) = -2*t**3 + 4*t + 5. Let m(w) = 4*g(w) - 5*n(w). Suppose 3*z + 3 = -3. Let j(c) = c. Determine z*j(a) + m(a).\nAnswer: 2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40933021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -175489*x + 1228420. What is o(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i. Let h(g) be the first derivative of -1\/2*g**2 - 45 + 0*g. What is n(h(a))?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c**2 + 51*c**2 - 438*c - c**4 - 2*c**3 - 59*c**2 to s*c + x*c**3 + a*c**4 + y*c**2 + v and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 1855, 6286, 14913, 29134?\nAnswer: 50347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 98, 277, 620, 1181, 2014?\nAnswer: 3173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - -26. Let j be 18\/(-45)*5\/g. Let k = 858\/265 + j. Which is greater: 4 or k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 3\/4 (c) -540219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -304?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21298, 21295, 21292, 21289, 21286?\n\"Answer: -3*p + 21301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1999645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17568 by 313.\nAnswer: 17568\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1551.8 and -1097.080788.\nAnswer: -2648.880788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 30948 + 2*r - 6*r - 30943. Calculate s(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/15*15\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/825513 and -29\/135330.\nAnswer: 8255130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 + 788 = 4*t - 2*j, 3*t - 734 = j. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 0*u + 1\/12*u**5 + u**3 - 9*u**2 + 0*u**4 + 0. Suppose 3*f + 6 = -12. Let k(c) = -c**2 - 1. Calculate f*k(j) - o(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 622500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 6*z**2 - 1. Let y be w(-5). Let f = 34 - y. Suppose 4*q - 21 = -1. Calculate the smallest common multiple of f and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + 3*l**3 - l**3)*(-2*l + 4*l - 3*l + (-3 + 2 - 7)*(3*l + 5 - 5) + (-2*l + 0*l + 3*l)*(6 - 2 - 2) + 3*l - 5*l + 3*l).\nAnswer: 44*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**2 + 126936*d - 126938 = 0?\nAnswer: -63469, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) - (sqrt(1620) - 2*sqrt(1620))) + sqrt(45) + sqrt(495)\/sqrt(396) - (sqrt(1080)*-3)\/(sqrt(54)\/sqrt(441)))**2.\nAnswer: 547805\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 2*d + 30. Determine l(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-70))\/((-6)\/(-16)). What is the second smallest value in l, 2, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 3*v**2\/2 - 3*v - 4. Calculate o(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487199691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(125))*4)**2 + -5 - (sqrt(5) + sqrt(10)\/(sqrt(50) + sqrt(2)) + sqrt(5) + sqrt(35)\/sqrt(448)).\nAnswer: 7625*sqrt(5)\/24 + 2059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -385*d + 49213. What is l(128)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2481*x**2 - 2*x. Let i(b) = 92827*b. Calculate i(p(k)).\nAnswer: -230303787*k**2 - 185654*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -6. Let k = -42 - -42. Is n at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -0.1, -0.5, -2\/11, 0 in descending order.\nAnswer: 51, 0, -0.1, -2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m + 13. Let t be x(-2). Let h be 2 + 7 + t + -3. Let -6\/7*s**2 + 6\/7*s**4 + 0 - 2\/7*s**5 - 2\/7*s**h + 4\/7*s = 0. What is s?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -370652*z**4 + 62*z**3 + 68799944*z**2 wrt z.\nAnswer: -8895648*z + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**3\/3 - 3*a**2\/2 + 10*a. Calculate v(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 2, 0.3, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-3*sqrt(154)\/sqrt(11) - sqrt(14)))\/(sqrt(84)\/(sqrt(84)\/(sqrt(70)\/sqrt(10)))) + 0)*-6.\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12630\/(-1684))\/(((-4)\/6)\/((-4)\/(-9))). What is the nearest to 1\/12 in 67, m, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/(sqrt(4) + sqrt(4)*2) - (-1*sqrt(68))\/sqrt(4)) + -3 - -2*(4 + 5*(sqrt(272) + 0)))**2.\nAnswer: 1240*sqrt(17)\/3 + 261617\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 133*h. Let s(t) = 46*t**2 - 3. Let y(u) = -275*u**2 - 73. Let j(x) = 6*s(x) + y(x). What is v(j(a))?\nAnswer: 133*a**2 - 12103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*h - 1191 = -2*t, -4*t + 2*h + 944 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5*7 + 3 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1. Let s = 67 + -110. Let p = s - -557\/13. Which is the nearest to -1? (a) -3 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20799 - 3296 = -395*x for x.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 365108687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8369818 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67.6 + 6.6. Let r = 117 + w. Let q = r - 116. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -1 + 2*p - 1\/2*p**2. Let f be -1 - 1 - (0 + 1). Give h(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 43266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3524, 12382, 27162, 47876, 74536?\nAnswer: 107154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -22. Let y(b) = -14*b + 1 + 5*b + 5*b + u*b. Calculate y(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2833, 5458, 8019, 10516?\n\"Answer: -32*g**2 + 2721*g + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -1 + (-2)\/(-22)*-71. Suppose 0 = -4*z - 3*q - 8, -2 + 0 = z - q. Let v = z - w. Which is the closest to -2\/5? (a) v (b) -2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16853 - -25564. List the prime factors of f.\nAnswer: 31, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -156 - -158. Solve 0 = m*g - 4*g + v + 5, 0 = 2*g + 2*v - 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4896131 is divided by 278?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-6))\/(-1))\/((-3)\/9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9015848.3 less than 2.693?\nAnswer: -9015845.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 19*u + 21 + (-1 - 1 + 1)*(u + 0*u + u))*(3 - 24 - 13)*(-7 + 5 + 0).\nAnswer: 1156*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 473791 to the power of 1\/2, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.99 - -0.01. Let m = -15 - -10. Let h = 44 + -45. Which is the nearest to h? (a) q (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1254 times -3\nAnswer: -3762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -14426?\nAnswer: -2885.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 3*b - 2. Let l(m) be the third derivative of m**5\/30 + m**4\/3 - 5*m**3\/6 + 3*m**2. Determine -8*a(f) + 3*l(f).\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/15*(1\/5)\/(175\/125*4)\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 2. Let k = -1 - q. Differentiate 16*x - 16*x - 4*x**3 + k wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6)\/n**8)\/(n**(-1\/3)*n*n**(-4\/5)\/n))**(-38) assuming n is positive.\nAnswer: n**(7334\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6977\/2 + 718803\/206. Let m = 3933\/1133 - w. Calculate the common denominator of (-3)\/2 + (-2)\/(-2) and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 22 = 3*r, 3*r + 2*a = 7 - 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99902256 or -99902257?\nAnswer: -99902257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1467.1 + 1467. Let i be 4\/34 + (-2)\/306. Which is the closest to -0.6? (a) i (b) -5 (c) j (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93314 is divided by 507.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1228286*z**3 + 29*z**2 + 7716*z + 3838 wrt z?\nAnswer: -7369716*z + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - r**2 - r - 1. Let g be ((-4)\/(-2) + -2)\/1. Let t be g*1\/(-2)*1. Determine d(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-504)\/(-222))\/((-1437)\/(-53169))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -868b4 + 0?\nAnswer: -868b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 5*p + 18. Let k be g(-8). What are the prime factors of (-4)\/((k\/15)\/((-111)\/(-5)))?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 52.9 (b) 7 (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 257102 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 4*h**2 - 4*h + 10. Let y be z(6). Suppose 3*f - 181 = -y. Suppose -5*d + 409 = -f. What is the highest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 take away -61659?\nAnswer: 61712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 32 = 97*o - 95*o, 0 = -3*c - 4*o + 22. Let n(a) = -a**2 + 11*a - 13. Calculate n(c).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264 divided by -19.\nAnswer: -264\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -2\/15, -0.2205?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.38 - 0.12. What is the nearest to 0 in k, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44582 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 24 = p + 2*t, 4*p - t = 73. Suppose v - 18 = 2*f, -6*f - p = -v - 3*f. What is the lowest common multiple of v and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 527 = -153. Suppose -935 = -7*m - h. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(20)\/sqrt(4) - sqrt(5))**2*5 + (sqrt(5) + (sqrt(40) + 4*sqrt(40) + sqrt(40))\/sqrt(8))**2 + -1.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h - 5*g + 33 = 0, 0 = 3*h - 3*g + 3. Suppose -p + 50 = h*p. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**6\/960 + 173*z**5\/480 - 2465*z**4\/64 - 2523*z**3\/16 - 883*z**2. What is q in t(q) = 0?\nAnswer: -1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.182 - -2.582. Let o = -1.9 + -0.1. Let f = k + o. What is the closest to f in 0.3, 0.2, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -158, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2540 = 68*m + 59*m. Solve 2*s - 15 = 5*s, -5*o - 5*s = m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*t - 5*h, 0 = -2*t - 14*h + 18*h + 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.069 (b) 0.4 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -t + 3, z = -5*t - 0*t + 21. Calculate the greatest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1221221200021?\nAnswer: 1221221200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 21*y - 11*y + 8.\nAnswer: -32*y - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((765\/(-40))\/(-51))\/((-15)\/(-44)) and 53\/6215?\nAnswer: 12430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1188 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -24. Suppose 2*h - 2*x = -16, -h - 2 = -2*x + 6. Do o and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16452674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -9. Solve -z*h - 3 = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -5, 4, 3\/7 in decreasing order.\nAnswer: 4, 3\/7, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + f = 1948, -2*u - f = -3*u + 968. List the prime factors of 2\/4*u - 5.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(2\/9)*u*u)\/u*u*u**(1\/3))**(-11))**(18\/13))**(-23) assuming u is positive.\nAnswer: u**(11638\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - -13. Let p = w + -75. What is the units digit of (-4)\/(-10) - p\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 492797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -34.022. Round b to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/1671 - -3620\/3955257. Let v = 305399\/198828 + u. What is the common denominator of v and -23\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1668\/(-4) - 0 - -2. Let p = i - -961. List the prime factors of (-22)\/(-55) - p\/(-10).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 8695170.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:49 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbulhtm. What is prob of picking 1 h, 1 l, and 2 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a factor of 245095942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p**2 + 25*p + 3. Let w(g) = 16*g**2 - 51*g - 6. Let a(m) = -9*n(m) - 4*w(m). List the prime factors of a(-10).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*y - 12. Let a = -3 - y. Suppose -s + 7 = 2*b, a*b + b = 5*s + 4. Solve -g + b*k = -k - 1, 0 = 5*k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/5 - 668*g\/5 - 2704\/5 = 0.\nAnswer: -4, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7240377 to the nearest integer?\nAnswer: 2691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015291221282 to seven dps.\nAnswer: -0.0001529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/500820 and -74\/255.\nAnswer: 500820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8549 + 0.4549. Put b, -2\/3, -0.05 in decreasing order.\nAnswer: -0.05, b, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 491736 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78009 is divided by 497?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + v + 9 - 3*v)*(-1 + 3 + 0).\nAnswer: -4*v + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + (25 - 17 - 128)\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*12\/9*63*1\/48?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -5*n**2 - 344. Let x(d) = 53*d. Determine x(u(j)).\nAnswer: -530*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 0.016.\nAnswer: -0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/5 (b) -21\/4 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*o - 4*o - 3*o)*((-3 - 1 + 3)*(0 + 3 + 0) - 1 + 9 - 10 + (-4 + 2 + 0)*(-2 + 1 - 1)) in the form t*o + l and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*o**2*x**3 + 2*o**2*x + 12*o*x**4 - 2*o*x**2 - 77*x wrt x.\nAnswer: -330*o**2*x + 144*o*x**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + (sqrt(243) - (5 + sqrt(243)*4 - sqrt(243))).\nAnswer: -9*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2 = -17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5904\/1312*192\/(-27)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 14*i - 5. Let u(c) = -5*c + 2. Let z(v) = v**2 + 4*v. Let h be z(-5). Let x be (2\/(-1))\/(2\/h). Let j = -13 - x. Calculate j*u(r) - 3*q(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.5072\nAnswer: 2.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 + 2*x**5 + 3*x**4 + (3*x**2 + 2*x**3 - 3*x**2 + (-1 + 2*x**2 + 1)*(-2 + 2 + 3*x))*(-2*x**2 + 0*x**2 + 0*x**2).\nAnswer: -14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 115611595 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z*z**33*z*z))**(-2\/33) assuming z is positive.\nAnswer: z**(74\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.14 and 355.\nAnswer: -49.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -35841 not equal to -35841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168107 + 5390 = 9608*x - 161680 - 49143 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53836238545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*g**3\/9 - 6*g**2 - 20*g\/3 - 16\/9.\nAnswer: -2*(g + 1)*(g + 4)*(5*g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 119, -13 in ascending order.\nAnswer: -13, -3, 4, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15546.727 + -25?\nAnswer: 15521.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -472250894 and -0.2?\nAnswer: 94450178.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 115. Let g(h) = -9*h - 2. Calculate w(g(r)).\nAnswer: -81*r**2 - 36*r - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45216185 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 214*v + 10058. Let m be l(-47). Which is greater: -2\/6653 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-170)\/204 + (972846035\/(-6))\/(-7). Round c to the nearest one hundred thousand.\nAnswer: 23200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcjswjjssjjj. Give prob of picking 2 s and 1 c.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 3*b**2 + b + 4. Is 16 a factor of w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-5 - (-5 - -7 - 13)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.9 + -10. Let s = 134\/195 + -8\/15. What is the closest to z in 1\/4, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 27 (b) 0 (c) 287 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*x + 701 = 1107 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -177 + 8483?\nAnswer: 8306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206485?\nAnswer: 5, 61, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16427202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2298*l - 2*l**3 + l**3 - 53*l + 385*l as n*l**2 + o*l + a + s*l**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 - 2*j**2 + 2*j + 3. Let h(i) = -i**2 - i. Let w(m) = 10*m + 421. Let b be w(-42). What is b*o(n) - 2*h(n)?\nAnswer: 2*n**3 + 4*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6658\/9 + 740. Sort 27, b, 0.5 in increasing order.\nAnswer: b, 0.5, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 15*o - 31. What is u(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 28. Give c(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/9)*g**7)**34 assuming g is positive.\nAnswer: g**(2516\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713454?\nAnswer: 2, 3, 7, 16987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.6989 + -0.3011. Which is smaller: 21\/22 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 18*l + 92. Solve l - 3 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 1\/30*n**5 + 0*n**3 + 0*n - 18*n**2 + 0 - 1\/6*n**4. Determine s, given that d(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.467 - 14.287. Let v = -14 - k. Let n = -0.1799988 - v. Round n to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/4 + c**3 - 31*c**2\/2 + 39*c - 99\/4.\nAnswer: (c - 3)**2*(c - 1)*(c + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/52)\/(3*(-5)\/(-12)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8034000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-8)*s**(-3\/4)*s*s**(-2)*s*s\/((s*s**(-4))\/s) assuming s is positive.\nAnswer: s**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 105*h**2 + 150*h - 184. What is a(0)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5217*g**3 + 3*g**2 + 5*g + 2. Let a be b(-2). Let r = a - -1252121\/30. What is the common denominator of -30 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**7\/o*o**(-7)*o*o*((o*((o*o**(2\/5))\/o)\/o*o)\/o)**27 assuming o is positive.\nAnswer: o**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3)\/z)**(4\/3))**3*((z**(6\/11)\/z)\/z*z)\/(z**(-2\/9)*z)*(z**(-1\/3))**45 assuming z is positive.\nAnswer: z**(-2135\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5487963359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) -0.1 (c) -152 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3510.31 rounded to the nearest 10?\nAnswer: -3510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16821 and 3703.\nAnswer: 8898309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -0.5, -0.3, 2\/23, -1, 4\/523?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072 is divided by 179.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2 + 7*n - 4. Let h(g) = 14*g**2 - 22*g + 12. Let m(p) = -3*h(p) - 10*r(p). Determine m(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 169, 217, 261, 301?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4 - p**2 + 3 - 4*p**2 + 10*p**2 + 6*p**3 + 10*p + 7*p**2 = 0. What is p?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 3*i - 3. What is the tens digit of k(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-32\/5)*v**(-3\/10))\/(v**16*v*v*v*v**(6\/11)*v))**(-5) assuming v is positive.\nAnswer: v**(2997\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61824, -61869, -61924, -61989?\nAnswer: -62064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3774?\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -228912*r**2 + 1203848 with respect to r.\nAnswer: -457824*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 4. Let b(i) = -i. Let g(w) = 4*b(w) + j(w). Let z be g(-2). Is -17*(3*z + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 241 - 354*k**3 - 3*k - 273*k**2 + 273*k**2 - 241 to x*k**3 + u*k + r*k**2 + p and give x.\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**13*w)*w*w)**(1\/12)\/(w**(-19)\/w**1) assuming w is positive.\nAnswer: w**(229\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -172 - -174. Suppose -378 = k*q + 8. Which is smaller: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 624 and 4344?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2698.799 millilitres to litres.\nAnswer: 2.698799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.147 + 14.047. Let z = j - 8.9. Which is the nearest to z? (a) 2\/7 (b) 2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*j**5 + 22*j wrt j.\nAnswer: 960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9455)\/11346)\/(70\/(-4)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 7*a + 8. Let h be t(-6). What is the lowest common multiple of ((-24)\/(-40))\/(h\/30) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -47 + h - 45 + 91. Let j(f) = -5*f + 4. Let o(z) = -z + 1. Let x(m) = 2*j(m) - 9*o(m). Let q be x(3). Give v(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -846.\nAnswer: 2\/423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 103 - 494 + 565*m**2 + 2466*m**2 + 391.\nAnswer: 3031*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 195. Let m be p(0). Suppose 0 = 3*a + 57 - m. Suppose -3*g - 17 = -2*b, -5*b + 29 = 2*g - 61. What is the remainder when a is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 1010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-21))\/(4\/6). Let p = 1700.7 + -1698. Is s at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9417521 is divided by 7261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 15*u - 42. What is z(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 + -43. Suppose 0 = 3*j + 2*r - v, -j - 114 = -5*j + 2*r. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v + 342 = 0. Let s(h) = -h**3 + 5*h**2 - 8797*h + 26378. What is the remainder when v is divided by s(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3\/2, -3, 44, 26, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - 0) + (135 - (133 + -12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 5*x**2 - 2*x. Let y(q) = -6*q**2 - 2*q - 3 + 3 - q**3. Let s = 387 - 396. Let a be 15\/1*s\/27. Calculate a*y(m) + 6*w(m).\nAnswer: -m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411242120 (base 5) in base 6?\nAnswer: 205315522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 732282, -2.\nAnswer: -2, 27, 732282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 296897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3))**(-26\/7))**(-36) assuming x is positive.\nAnswer: x**(312\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -14*i**2 - 120*i. Let j(n) = 110 - 258*n**2 + 131*n**2 - 110 + 124*n**2. Determine q(j(p)).\nAnswer: -126*p**4 + 360*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 1 - i**3 + 4 + 4*i**2 + 3. Let w be (-4)\/(-6) + 90\/27. Calculate q(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003823 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 + 92. Solve a = -4*m + s - 3*s, m = 5*s - 29 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 53*w - 11. Let k be b(11). Suppose 5*r = 2*u + 2*r - 1129, 0 = -u + 3*r + k. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4994722 to the power of 1\/2, to the nearest integer?\nAnswer: 2235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + q + 0)*(-5*q + 6*q + q) + (-4 + 0 + 3)*(6 - q**2 - 6) - 463*q**2 + 74*q**2 + 162*q**2)*(-3*q**2 + 2*q - 2*q).\nAnswer: 672*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.587 + -2.607. Suppose 3*a - 15 = -0*a. Put -3, j, a in increasing order.\nAnswer: -3, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 8. Determine h(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 1. Let a be (1 + (-5 - 2))*(-35)\/(-14). Let r = 17 + a. What is x(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -4. Let b(s) = -1 - s - n + 13. Let x be b(7). Solve 2*f + 8 = l, x*l - 2*f + 0 = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 14) to base 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 15. Let m(z) = z**2 - 7*z + 4. Let p be m(a). Suppose -5*s + j + 18 = 2, 3*s + 3*j - 24 = 0. Sort -5, p, s in descending order.\nAnswer: s, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103 or 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 3*a**2 - 4*a + 33. Give h(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -22*y - 2. Let q(v) = -1. Determine f(d) - q(d).\nAnswer: -22*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - 15 - 47 - -43?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5612 = -2492008*z + 2492076*z - 1736 for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -26.1. Put -3, t, -2, 0.26 in ascending order.\nAnswer: -3, -2, t, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -120*-2*(2 + (-8)\/6). Let k be (18\/4)\/((-5)\/(n\/(-2))). Calculate the remainder when 21 is divided by (3\/(-6))\/((-3)\/k).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37 + 38)*(126\/(-10) - 10\/25)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-19)\/((p*p*p*(p**(-22)\/p)\/p*p)\/p) assuming p is positive.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 = 4*a + 4*r - 119, 3*a + 6*r = -99 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -426*s**2*v**2 - 3*s**2 - 4*s*v + 4*v wrt v.\nAnswer: -852*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-95)*10\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 22*k + 260 = 0. What are the prime factors of (1 + 6*23)\/(k\/130)?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/3 + 5*w**2 - 34*w\/3.\nAnswer: w*(w - 2)*(w + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -264761 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*t = -117*t + 55 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and 111\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1372037, 1372073, 1372127, 1372193, 1372265, 1372337?\nAnswer: 1372403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-6*sqrt(70)*1)\/sqrt(10))**2 - (5*(sqrt(189)\/sqrt(3))\/sqrt(9))**2).\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 273 - 267. Let u be (-885)\/(-10) + -1*a\/4. Is 86 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 11*h**3 - 2*h - 1. Let a = -5 - -4. Let s be d(a). Let c = -6 - s. Solve 0 = -4*f + c*x - 40, -3*x + 8*x = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 36 = 2*q. Let m = -17 - q. Is ((-155)\/(-4))\/(m\/(-20)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.2, -1\/9, -1\/4 in descending order.\nAnswer: 3.2, -1\/9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -583395 and 0.08.\nAnswer: -46671.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1104298090 to the nearest integer?\nAnswer: 33231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 600389\/85 + (-8)\/(-5) + (-4)\/2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**6\/360 + r**5\/24 + r**4\/12 + 2*r. Let j(k) be the third derivative of d(k). Let x be 4\/(-8)*-6 + 2. Calculate j(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -7. Let i = 0 + -0.2. Let t = i + -0.3. Which is the third smallest value? (a) f (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1791*l - 1. Let s(h) = -1789*h - 2. Let o(u) = -6*k(u) + 7*s(u). Let d = -8 - -4. Let v be o(d). What is v rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in 2, -2\/7, 2\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/15 - 1678*h**3 + 25172*h**2\/15.\nAnswer: -2*h**2*(h - 1)*(h + 12586)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -231470\/41 - -5646. Find the common denominator of t and -26\/5.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463351 is divided by 526.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 3\/2*j**2 + 0 - 5\/6*j**3 + 1\/3*j**4 - j - 1\/60*j**5. Let p(z) be the first derivative of v(z). Determine p(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 13*v**2 + 19*v - 6. What is the hundreds digit of s(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, x: 4, n: 2, p: 1, v: 1}. Give prob of picking 2 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3 + 1164*v**2 - 22582*v + 57324 = 0. Calculate v.\nAnswer: 3, 17, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 11*v + q + 1118, 0 = 5*v - 2*q + 1124. Let a = -169 - v. What is the remainder when a is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 2. Suppose 377 - 55 = 23*k. Suppose 16*a + k = 23*a. Calculate h(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.6 (b) 0 (c) 399\/205\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10\/27 + 56\/297. Let y be 8\/(-20)*1 - (-112)\/230. Which is the smallest value? (a) y (b) q (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1469, -3254, -5033, -6800, -8549?\n\"Answer: o**3 - 3*o**2 - 1783*o + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59798?\nAnswer: 2, 29, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j + 8 = 2*v, -4 = 2*j. Let q = -406 - -406. Which is the nearest to q? (a) v (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002757496 rounded to 6 decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3 + 54*m - 412*m**2 + 18 + 26 + m**3 + 0*m**3 + 387*m**2. Is c(33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190152709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 827, 1919, 3731, 6257, 9491, 13427?\n\"Answer: -u**3 + 366*u**2 + u + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e71 (base 15) in base 13?\nAnswer: -6124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 22100 - 22105, -3*j = -7*z - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 21*p + 7. Let j(k) = 3*k**3 - 12*k**2 + k - 1. Let f be j(4). Suppose 0 = f*z - 22 + 4. List the prime factors of u(z).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4415 at most as big as 4417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**3\/4 + c**2\/2 - c\/4 + 4. Factor q(h).\nAnswer: -(h - 1)*(3*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 7*d**2 - 7*d + 5. Let m be n(5). Suppose 4*s - 6*s + m = 0. Calculate the highest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009823 rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fofo when four letters picked without replacement from ooffofffffofff?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0, -3\/3187, 8?\nAnswer: -3\/3187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.01 (c) -2036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 21 = m, 1001 = 5*m + 2*j + 811 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -21 - (6 + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 - 78*j - 29. Let u be t(16). Let p = 67 + -31. Let w = p - u. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*t + 2*r, 123*t - 4*r + 12 = 125*t. Solve 0 = t*d + 11 + 133 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -469884 divided by 11?\nAnswer: -469884\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2152761.9000105 + 2152750.6. Let t = 11.3 + l. Round t to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 474\/(-42) - (-4)\/14. Let r = 13 + s. Solve 5*p - r*b = 3*p - 14, 4*p + 3*b = -7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 1:09 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*p - 4 + 32, 8 = 3*m - p. Suppose -m + 8 = 2*o. Let b be (-1)\/((o\/(-2))\/(-1)). What is the closest to 1 in 0.4, -0.2, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 733986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015726365 to five decimal places.\nAnswer: -0.00157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9517902)\/(-16640040) + -1 - 1\/(-5). Let v = -3\/12058 + o. What is the common denominator of v and 13\/12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 0 - 16 + 11 - 5*r**2 + 1.\nAnswer: -5*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62834.6 and -3?\nAnswer: -188503.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**4\/12 + h**3\/3 + 31*h**2\/2 + 5*h + 1. Let i(d) = d + 2. Let t(j) = 2*i(j) - o(j). What is t(0)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**2 - 97*h**3 - 47*h**3 + 70*h + 2*h**2 - 22*h wrt h.\nAnswer: -864*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 - 74 - 30*k**2.\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95.56733 - 95.53. Which is smaller: a or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from {v: 2, n: 4, c: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 + 9716*z**3 + 6019616*z**2 + 144480400*z.\nAnswer: 4*z*(z + 25)*(z + 1202)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 3\/2, 3.7 in ascending order.\nAnswer: 0.06, 3\/2, 3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krrrskhsr. What is prob of picking 2 s?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 473 (b) 0.3 (c) -16 (d) 10 (e) -1\/6 (f) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n + 7. Let y(s) = -2*s - 3. Let i = 37 - 46. Give i*y(v) - 4*l(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxqxxxxqxxxxxxxxxq. What is prob of sequence xxqq?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-8)*30\/9. Suppose 0*o = 2*n - o + 169, -3*n = -3*o + 261. Let y = n - -89. Solve -y = -w*a - 32 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.032 and -0.01?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (2 - 15 - (-180)\/30). What is the nearest to 0.3 in 2\/15, -3, s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4757.3 (b) -2 (c) 0.3 (d) 5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50713618, 101427249, 152140880, 202854511, 253568142, 304281773?\nAnswer: 354995404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-18))\/((-4)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5723*u**2 + 54*u + 1. Is 187 a factor of i(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.7 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(2*sqrt(1008) + -5 - 3*(sqrt(1008) + (sqrt(1008)*-3 - sqrt(1008)) + sqrt(1008))))**2.\nAnswer: -384000*sqrt(7) + 25814800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10410, 20814, 31208, 41586, 51942, 62270?\n\"Answer: -f**3 + f**2 + 10408*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9452816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -29*g - 272. Let b be r(-17). Let c = 228 - b. Let o = -1428 + 5741\/4. Which is smaller: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 303819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1682, -13444, -45364, -107522, -209998, -362872?\n\"Answer: -1680*x**3 + x**2 - 5*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*sqrt(1872) + (0 + sqrt(1872) + 1)**2.\nAnswer: 36*sqrt(13) + 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 25*p + 101. Let h be 6\/14 + 0 + 249968\/(-12866). Calculate q(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70968.33 millennia in years?\nAnswer: 70968330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-45)*(-3)\/(-5))\/(-10*(-23)\/(-87630))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from {s: 4, r: 2, q: 2, k: 7, g: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 6*w - 2*b - 9 - 2, -2*w - w + 2*b = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23875243, -23875178, -23875113, -23875048?\nAnswer: -23874983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100 - 0?\nAnswer: 1101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 559 - 281 + b - 282 + b**4 + b**3 to v + l*b**4 + c*b**2 + j*b + y*b**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -108344400 divided by -212440?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/3*(-2)\/2. Let f(h) be the second derivative of h**3\/6 + 3*h**2\/2 + 44*h - 1. Let g(z) = -1. Suppose 2*b + 8 = -6*b. Calculate b*f(a) + r*g(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12.25 * 14454\nAnswer: 177061.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8480098 and 44.\nAnswer: 16960196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(2\/3))\/x)\/x)**(-20)\/(x\/(x*x\/(x**(-2\/11)*x))*x**(-5)) assuming x is positive.\nAnswer: x**(1271\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6\/43 - 104\/129. Let k = 4 - 3. Let z = k - 0.9. Is z at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g - 1. Let c be y(1). Let l be 2\/c - (-424)\/12. Suppose -4*i = 4*v - l, 3*i - 3*v - 20 = v. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 23) + (61 + -55 - -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 1611.\nAnswer: 16\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122 + -116. Suppose 411 = j*n - 255. Does 33 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 3365.6.\nAnswer: 3365.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 52620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 13*p + 12*p = 98, -5*z = -2*p + 104. Let h(f) = -f**2 - 17*f + 47. Determine h(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or 173848?\nAnswer: 173848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26*(-29)\/(-1885) + 13\/5. Let k be 2\/4 + 182\/28. Solve -x*c = -k*c - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-8 - (-22 + 1)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i - 0*i + 36. Let z(y) = i*y**2 + 0*y + 6*y - 6*y. Let h(w) = -w. Give z(h(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4 - (-33)\/(-66)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -202 + 119 + -6 + 40?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 16. Let r be u(-14). Let p(q) = 14*q - 3. What is the units digit of p(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1570.723623 milliseconds to weeks.\nAnswer: 0.0000025970959375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2494 + -2126. Calculate the highest common divisor of d and 864.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61392 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11 - 514 + 140 - 368 - 4150*b - 156 wrt b.\nAnswer: -4150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 321, 414, 595, 894, 1341, 1966, 2799?\nAnswer: 3870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(32) - (sqrt(32) + 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-106)\/((-60420)\/21318) - (37 - 2)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:32 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - 2*u + 0*u)*(0 + 1 - 2) + 61*u + 19 - 10 - 13 in the form t*u + j and give t.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.26 + -2.74. Let u be ((-35)\/231)\/(5*(-1)\/3). Put -0.01, z, u in descending order.\nAnswer: u, -0.01, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 267550\nAnswer: 6\/133775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 107931014 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from rrrrrrrrkrrrrkkr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 1. Let r(s) = -3. Let o(u) = -3*r(u) - 9*t(u). Let w(i) = 4*i**2. What is o(w(f))?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000043716 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**2*s**4 + 8*f**2*s - 5*f*s**4 - f*s**2 + 12*s**5 wrt s.\nAnswer: 48*f**2*s - 120*f*s + 720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veg when three letters picked without replacement from veteggvet?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2 + 7 - 4*r**3 + r**3 + 2*r**3 + 0*r**3. Let g be v(-7). What is the highest common factor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/5)*a\/(a*a**(-2\/3)))**(1\/7) assuming a is positive.\nAnswer: a**(34\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 z, 1 j, and 1 h when four letters picked without replacement from hhzjhhhhhzpjhjhejhh?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 54168.32 to the nearest 1000.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/51 - 29\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2715285, 2715292, 2715299, 2715306, 2715313, 2715320?\n\"Answer: 7*g + 2715278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*a + 21, -5*a - j - 2 = -20. Find the common denominator of 93\/40 and ((-9)\/100)\/(a + (-17)\/6).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249382 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aba (base 14) to base 10.\nAnswer: -2124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5203613 (base 7) in base 4?\nAnswer: 2120021120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, i: 15}. What is prob of sequence pp?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 5:52 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c - 122. Determine x(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73232*t = -72720*t + 5120 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**3 - 7*c**3 - 9*c**3 + 14*c**3 + 25*c**3.\nAnswer: 33*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 57 = -57 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (10 - 2000\/75))\/(4\/(-12)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-188)\/(-16) - (-6)\/(-8). Suppose -k*h - 1406 = -13*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4254 + 42789 = 9*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2125 - 2276 = -151*r. Which is the third biggest value? (a) r (b) 0.2 (c) 0.04 (d) 5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-18)*(-48)\/168\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(2 + (-3)\/(-6)). Which is smaller: -6 or n?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 7:10 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 84*n - 39*n - 21*n. Let x(o) = -2*o + 2. Let h be x(-19). Let v(g) = g. Calculate h*v(t) - 2*c(t).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*((x*x**7\/x*x*x)\/x*x)\/x)**(12\/7) assuming x is positive.\nAnswer: x**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**2 + 3*n**2 + 2*n**2 + (-2*n - 42*n - 30*n)*(-n - 2*n + n).\nAnswer: 149*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -969*z + 2*n = -967*z - 20, -10*n + 17 = -z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j - 7. Suppose 3*x + 0*h = h - 13, -2*x = -3*h - 3. Let m(d) be the third derivative of -5*d**4\/24 - 4*d**3\/3 - 4*d**2. Determine x*m(o) + 7*s(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 20 = -4*l + 3*d, 0 = 3*l - d - 4. Solve 23 = 4*w + p, -5*w - 5*p + 32 + 8 = l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**3 + 3750*y**2 - 341320*y = 0.\nAnswer: 0, 106, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxi when four letters picked without replacement from xxiixxxxxxxxii.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103239211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036957382?\nAnswer: 2, 113, 179, 25633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 8550216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2. Let q(i) be the third derivative of i**4\/12 + 13*i**2 - 1. Calculate q(x(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 6*s - 3. Let i be u(-3). Suppose 0 = -4*o - 16. Let p be (6\/o)\/((-3)\/4). Solve -p*n - n = -i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t + 4*t - 4*t + 4*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3420621 divided by -201213.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Let s(m) = m**3 + m - 1. Suppose -5*a - 2 = -7. Let b be s(a). Solve -n*t + 4 = b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, l: 6, w: 1, k: 2, b: 1}. Give prob of sequence bjw.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 2222?\nAnswer: 15554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, 106, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66498 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -794 + 802. Solve 2*u - h = -4*g, 5*g + 8*u - 10 = 4*u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 12:17 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/2631 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/3))**(-2\/47)\/(s**(-2\/7)\/(s*(s\/(s*s**(-7)))\/s)))\/((s**1)**5*(s\/(s*s**(-2\/3)))\/(s*s**0)) assuming s is positive.\nAnswer: s**(2515\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.261 + -0.191. Which is the nearest to 3? (a) t (b) 1\/4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 136514*h - 56. Let w be u(4). What is w rounded to the nearest 10000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490 divided by -70.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b**3 - 146805*b**2 - 78109863*b + 26052933 = 0.\nAnswer: -15761, -551, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-28)\/(-21))*(24\/(-81))\/4\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 10. Let q = 0.6 + -0.5. Suppose -4*z = -4*s - 36, 51*s - 49*s - 6 = -2*z. Which is the smallest value? (a) q (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 184 + 2\/((-13)\/4 - -3). Let x = 46 + -30. What is the highest common factor of x and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let n = -9691 - -9687. Let y(r) = -17*r - 2. Determine n*k(q) + y(q).\nAnswer: -21*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)*-2)\/(sqrt(16)\/sqrt(200)).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116.6 + 116.3. Let w = 1.1 - 0.1. What is the third biggest value in 0, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m + 18*m - 8*m + 10*m**2.\nAnswer: 10*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, h: 1, z: 1, u: 1, n: 2, a: 1}. What is prob of picking 1 d and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -7*b**5\/30 - 55*b**3\/3 + 142*b**2. What is the first derivative of i(h) wrt h?\nAnswer: -28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*q - 194*q - 408464 = 51256. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -29. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Let n be (-30)\/25 + (-2)\/(-10). Let q be a(n). Let b(j) = 6*j**3 - j**2 - 2*j - 1. What is b(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/27 + (-332)\/90*(449 - 474)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/88 and -49\/456.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 5:10 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.942017 micrometers in millimeters?\nAnswer: 0.000942017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11133554 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*y - 204 = 0, -88*m + 54 = -87*m - 2*y. Let a be (-2 + -19)\/(-1 + 0). Let i = m - a. Calculate the greatest common factor of 100 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -433903 divided by 3.\nAnswer: -433903\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -5, -3\/4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*w = -806 - 890. Calculate the least common multiple of 168 and w.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -140, -338, -684, -1226, -2012, -3090?\nAnswer: -4508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 19014*d - 8 + 27 - 19094*d.\nAnswer: -80*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -44896*p**2 - 832. Let f(q) = 323*q**2 + 6. What is -832*f(x) - 6*k(x)?\nAnswer: 640*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + r + 2500 + 79680 = 0, 0 = 5*r + 20. Is 96 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171007*g**2 + 29*g - 86055*g**2 - 29*g - 85757*g**2 + 1.\nAnswer: -805*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13681 + 7?\nAnswer: 13688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1480\/317 or 5?\nAnswer: 1480\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 6, 2*i - 22 = 2*u - 6*u. Suppose 4 = i*f - 3*f. Solve 3*b + 0*b = 3, -2*b = -3*c + f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 4*m + 4. Let f be o(-4). Suppose 0 = f*l - 0*v - 5*v - 9, 27 = 3*l + 3*v. Is l\/(-10) - 1024\/(-40) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136672 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003795279713 to four dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h - 4*n + 4 = 0, h - 5*n = -5. Let w be (0 + -3 - -3)\/(-2). Suppose h = j - w*j - 10. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/37896 or 0?\nAnswer: 1\/37896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 + 2719*x**2 - 2723*x**2 + 12 + 0*x**3 to the form l*x**2 + p*x + d + c*x**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 150525873 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4993769 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.96177 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 8. Let i(q) = -q**3 + 9*q**2 - 8*q + 8. Let o be i(c). Suppose 0 = -3*k + r + 16, -5 = 5*k + 2*r - 6. Solve -k*w + o = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Find the first derivative of 17*i - 19*i**k - 17*i + 9 wrt i.\nAnswer: -38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.028? (a) 0 (b) 5167\/4 (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + -227. Let l = -440 - t. Let u = -147 - l. What is the second smallest value in -5, u, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 503 + 2?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 20, 23, 26, 29?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8784 and 2730604.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -265*i**4*x - 9*i**3*x**3 + 1052*i**3 + 2*i**2 + 2*i*x - 2124390*x**3 wrt i.\nAnswer: -6360*i*x - 54*x**3 + 6312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/11 (b) -11\/9 (c) 5 (d) -2 (e) 1\/10 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, q: 17}. What is prob of picking 1 q and 3 i?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -41952036?\nAnswer: -41952039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 54*c**3 - c**2 + 34*c - 96. Let l be v(4). Is l < 3480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -904, -7227, -24338, -57631, -112500?\n\"Answer: -899*k**3 - 30*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20709, 41416, 62123?\n\"Answer: 20707*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u - 3. Let i(g) be the third derivative of g**3\/6 - 6*g**2. Determine -f(z) - 3*i(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (26 - 20 - -15 - 20) - (80 + 1).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**3 + 8276*m**2 - 277600*m - 285872 = 0 for m.\nAnswer: -2102, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.577322 centuries to decades.\nAnswer: 55.77322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6978 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*l**3 - 26*l**3 + 16*l**3.\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -91*a**3\/2 + 254*a - 1. Let b(g) = -2*g. Determine b(s(u)).\nAnswer: 546*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37245 and 147834.\nAnswer: 9609210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 15*c**2 + 158*c + 2023. Calculate p(-12).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.03 - 7. Let z = 121556\/3 + -41003. Let p = z - -483. Which is the second biggest value? (a) -2 (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w - 12. Let q(l) = -l**3 + 8*l**2 + 10*l - 4. Suppose 2*d = -8, -5*r + 2*r = 2*d - 19. Let m be q(r). What is the units digit of t(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**5 + 81580*u**4 + 333497900*u**3 + 5977780270*u**2 + 4977694415*u - 11289054170 = 0.\nAnswer: -8149, -17, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5. Suppose f = 4*h - h + 12. What is the units digit of 2\/(h\/(-6))*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/7 + 22262*o**3 + 3035451522*o**2\/7 - 3035919034*o\/7 - 6071214724\/7 = 0. Calculate o.\nAnswer: -38959, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umkmku. Give prob of picking 2 k and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 2667229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1\/7, 0.4, -0.4 in descending order.\nAnswer: 7, 0.4, 1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12\/48*8*2\/(-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = t - 62. Suppose 0*h + h = -p - 25, 2*p - 4*h + 44 = 0. Let r = p + t. What is the highest common divisor of 207 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**4\/6 + 13*g**3\/6 + 6*g**2 + 161*g + 8. Calculate p(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 5*r**2 - 52*r + 14. What are the prime factors of b(-10)?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -275.84 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhjhhjththshtttsthh. What is prob of picking 1 s and 2 h?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (22 + (-3 - 15))\/(13 + 1). Put 1\/185, -1\/4, i in descending order.\nAnswer: i, 1\/185, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5) - (sqrt(500)*-2)**2)*6 + -6*(sqrt(80) + 1 + sqrt(80) + 1).\nAnswer: -78*sqrt(5) + 59988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-10)\/v**(-4\/13) assuming v is positive.\nAnswer: v**(-126\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 248 + 616. What is the highest common divisor of 10584 and o?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-10) - (-27)\/(-15). Let j be (1\/g)\/(1\/(-6)). Find the third derivative of 3*l**3 - 5*l**2 - 3*l**j + 7*l**2 + l**3 wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**3*y**2 - 5267*p**3*y + 635*y**2 wrt p?\nAnswer: -3*p**2*y**2 - 15801*p**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 163060 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 853678995 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4167174229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 4, -19, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -632.35 + 657. Let p = a - 24. Round p to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1339)\/(-273) - (-4)\/42. Let b = 9 + -6. Suppose 3*t - b*c = -c + 563, 0 = 5*c + z. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162259 less than 486779\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -19. Suppose -14 = -q*o + 6. Solve -u = -o*y + 16, 3 = u - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132360 and 63540.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 + -2?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/5 and ((-1242)\/48)\/(6\/8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + 2*s**4)*(4*s + 2*s - 4*s) + s**5 + 2*s**5 - 2*s**5 + 2*s - s + 0*s**5 + 2*s**5.\nAnswer: 7*s**5 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2817 + 759 = -7*f. Does 25 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7217273.3 * 5\nAnswer: -36086366.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.015991 * 5\nAnswer: 0.079955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + v - 132 = 0, w + 3*w - 6*v + 372 = -0*w + 50*v for w.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1801.\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*n - 38*n - 2002. Let h(s) = n*s**3 + s - 97*s**3 - 87*s**3. Calculate h(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opooosppsyso. Give prob of sequence sy.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -556\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -74*h - 37 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18134 - 18158 = 6*z + b, -5*z = -2*b + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/551 - -1093\/4959. Which is the nearest to q? (a) -2\/11 (b) -3\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.144 + -0.814.\nAnswer: -5.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.6 + 7. Let y = n - -0.1. Let q(p) = -p**3 + 2*p**2 - p. Let t be q(1). What is the closest to 1 in y, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1915 + -1545. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 56*w - 225. What is k(52)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.118 + -0.281. Let w = 0.063 + u. Let f be (-51)\/9 + (-2)\/6. Sort -1\/11, w, f in descending order.\nAnswer: -1\/11, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*m + 3464 = -57*m. Let a = m + -498. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32032 is divided by 1001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 - 2*s - 1. Let t be g(-1). What is the units digit of t - 0 - (-2 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 25, -2*f + 4*r = -0*f - 10760. Suppose 0 = -141*j + 155*j + f. Is j > -386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzzzzvv. What is prob of sequence vhzv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-2))\/(-1))\/((9\/51)\/3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 34 = -3*x - 30, 39 = 3*m - 2*x. Let g be (-9*4)\/(-6) - -2. Suppose 0 = m*c - g*c - 63. What is the smallest common multiple of c and 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/21)\/((600\/(-160))\/(6\/(-4))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73469 and 56544414.\nAnswer: 621988554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 + m**4 + 49 - 52 + 2*m + 3*m**3 as j*m + a*m**2 + d*m**4 + p*m**3 + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10*6\/(-105) + 456595\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*g. Suppose s - 4 = -g. Suppose -4*u = -2*u - 4*j, -5*j + 13 = s*u. What is the smallest common multiple of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d - 3320 = 23*d - 14*d - 3671 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 97*m**2 + 7*m - 28. Is d(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 + 6*n - 13. Let k be (60\/(-35))\/((2\/(-6))\/(21\/(-18))). Give m(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147108 and 6279?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-480)\/(-84))\/(-4)*2*(-21)\/(-6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1639 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (47*c + 25*c - 30*c)*(-2*c**2 - 2 + 2) + (-c + 5*c - 2*c)*(-c**2 + 7*c**2 - 4*c**2) + 5 - 8*c**3 - 5 in the form m*c + j*c**2 + b*c**3 + t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 521553 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 units digit of 10785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 1:15 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 15. Suppose 4*u = 3*t - u, 14 = t + q*u. Solve 5*f - 31 = -2*g, -f - t*g = -2*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 915343.4 millilitres to litres.\nAnswer: 915.3434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 2189?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**0\/g)\/g)**(2\/13))**(4\/23)\/((g*g**(-1))**(3\/8)\/(g\/g**1*g)**(-23)) assuming g is positive.\nAnswer: g**(-6885\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b - 3. Let d(n) = -n**2 - 12*n + 7. Determine -2*d(o) - 5*f(o).\nAnswer: 2*o**2 - 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 + 18*q - 56\/3.\nAnswer: 2*(q - 1)*(q + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 2, 5 in decreasing order.\nAnswer: 5, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 21460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a + 1883 = -3*q, -3*q + 36*a - 32*a - 1925 = 0. Put q, 2, -2 in increasing order.\nAnswer: q, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 377, 732, 1075, 1400, 1701, 1972?\nAnswer: 2207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*b = -3, 3 = -i - b + 4. Suppose -2*m + i*m = -18. Suppose 4*c = h + 47, 0*h + 4*h = c - 23. What is the lowest common multiple of m and c?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lui when three letters picked without replacement from uuizzl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -199*s**2. Let i(k) = 2*k. Calculate g(i(a)).\nAnswer: -796*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*z - 1855788 = 0, u + 24*z - 20*z - 618576 = 0. Round u to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 1}. Give prob of picking 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 30306.\nAnswer: 1\/15153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7)*(-3)\/12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b516 - c0?\nAnswer: 1b456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 1275?\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/4 (b) 4 (c) 5\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2. Let v(u) = -190*u**2 - 2. What is y(v(m))?\nAnswer: -108300*m**4 - 2280*m**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14071 - -14071.00011642. Round f to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12707491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/4970 and -77\/6450?\nAnswer: 3205650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*u**2 + 74*u**2 + 67*u**2 to the form t*u**2 + k + c*u and give t.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 649 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 106738375021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3411324 - -4424?\nAnswer: -3401400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109\/369 + -3\/41. Let d = 16.92 + 0.08. Let l = -15 + d. Is s >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 - 24 = 2*t, 2*f - 33 = 5*t. Let k = 0 + f. Suppose -35 = -k*u + 13. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111101 - -100100010000000?\nAnswer: 100011011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 2 = -4*i. Let z be (8 - 14)*4\/i. Differentiate -z + 3*v**3 + 3 - 6*v**3 with respect to v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -10. Let k = 53 - 103\/2. Let v = 1.8 - -0.2. Which is the closest to 0? (a) v (b) k (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 37\/12 (b) 1\/5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/30)\/((-4)\/(-24)). Let m = -25 - -21. Let q be (16\/28)\/(m\/(-56)). Which is the closest to 1\/3? (a) q (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 3*l + 4*l - l**2)*(2376 + 14*l**3 - 2376).\nAnswer: -14*l**5 - 28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138596 = 4*l + 3*b, -3*b + 59107 = 5*l - 114141. What is the thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 32*b**2 - 7. Is 34 a factor of m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 5*b - 4*v - 38 = 0, -3*b + 58 = v. Suppose -3*p - b = -4*n, 3*n - 5*p - 16 = n. Suppose n*k - 10 = -1. Solve i + k = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -8a?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p + 15 = 3*c, 4*p - 4 = -2*c. Suppose 4*j - 5*n = 5*j - 11, 0 = -3*j + 5*n - 7. Let m = j - -1. Solve 2*s - 4*r - 10 = -m*r, 4*s + c*r = 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 310 + -141313?\nAnswer: -141003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 5 + 5)*(-3 + 5 - 1)*(20 + 22 - 9)*(z + 0*z + z).\nAnswer: 132*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 9:41 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2)*0)\/2. Suppose 0 = q + 18*q - 57. Solve q*s - 5*z - 23 = 0, 5*s - 2*z - z - 17 = x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-252)\/27)*2\/22. Find a such that 0*a**2 + 4 + 14\/3*a - h*a**3 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*q**2 - 3*q - 35*q**2 - 4 - 30*q**2)*(45*q + 0 + 1 + 2*q) + q**3 + 0*q**3 + 0*q**3 + 1.\nAnswer: 95*q**3 - 139*q**2 - 191*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 11337\/2, 3\/5, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-9)*-3*24476\/(-3376)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 58, 112, 160, 202?\n\"Answer: -3*l**2 + 63*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Suppose -6 + f = -o. What is the second derivative of -o*i**3 + 0*i**3 + 4*i**3 - 2*i + i wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108715 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 6*i**2 - 6*i + 3. Let w be p(-3). Let q(y) = y**2 + y - 1. Let z(h) = -5*h**2 - 9*h + 1. Let k(l) = -4*q(l) - z(l). Calculate k(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 1\/21*s**3 - 4*s + 0 + 0*s**4 + 0*s**2 - 1\/70*s**5. Factor y(u).\nAnswer: -2*u*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*y + 12, 4*g + 14 = -y - g. Put -6, y, 4 in decreasing order.\nAnswer: 4, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16854 divided by 6.\nAnswer: -2809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/30022476 and 5\/99.\nAnswer: 90067428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**5\/3 + 14*f**4\/5 - 130*f**3\/3 + 346*f**2\/5 - 88*f\/3 = 0.\nAnswer: -11, 0, 4\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/4 - 21789*x\/4 + 340200.\nAnswer: 3*(x - 7200)*(x - 63)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-26) - 1479\/377)\/(-6). Which is the closest to 0.3? (a) 3 (b) -4\/7 (c) 0 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m**2 + 177651*m - 177651*m.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 + (4 - 6) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -21, 2976, -2.8 in increasing order.\nAnswer: -21, -2.8, 0.5, 2976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*w**3 + 4*w**3 + w**3 - w**3 + w**2 in the form h*w**3 + n*w**2 + y + l*w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-2))\/((-1)\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -930 = -4*i - 2*b, -9*b + 909 = 4*i - 14*b. Calculate the remainder when i is divided by 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/j**(1\/7))**(6\/11)\/(((j\/j**(-1\/6))\/j)\/j**(-1\/4)*j*j**(-4)*j*j**(1\/3)*j) assuming j is positive.\nAnswer: j**(-115\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 2*u + 1. Let t(k) = 191*k**3 + 4*k**2 - 8*k + 6. Determine -4*o(y) + t(y).\nAnswer: 191*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61\/261 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 94211a (base 11) to base 13\nAnswer: 40b8a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14404414 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4079698 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*s + 256, -4*s + 209 = 2*x + s. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78275656 and 5.\nAnswer: 391378280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.4 (c) 74 (d) -192 (e) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3720)\/(-180))\/((-22)\/3) + (-4)\/22. Let n(k) = 0*k + 3 + 7 + 3*k. Give n(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 9, 2*w = -3*w - 4*a + 37. Let f = w - 3. Suppose 34*b - 35*b = -2. Solve u - b = f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 397175 by -3.\nAnswer: -397175\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from {m: 2, j: 1, o: 1, u: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 - 15*d**2 + 12*d + 11. Suppose 225*v - 1563 = -213. What is a(v)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111 - 111 + 251*n - 80*n to the form y + s*n and give s.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6361436?\nAnswer: 2, 241, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -13)\/(-1 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.101825 from -36617.\nAnswer: -36617.101825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 150*p + 3. Let y(l) = 2*l. Determine d(y(c)).\nAnswer: 300*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25184042 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*i - 269*i + 68*i + (2 - 3 + 0)*(-i - i + 0*i) + 0 + 2*i + 0 - 2*i + 2*i - 2*i + 0 + 2*i + 0 - i + 5*i - 5*i)*(0 - 2 + 1).\nAnswer: 279*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11*k**2 - 9*k + 6. Determine i(3).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2256, 9013, 20274, 36039, 56308?\n\"Answer: 2252*p**2 + p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {k: 1, y: 2, r: 2, e: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/w**(-1\/4))\/((w**4\/w)\/w**(-2\/5))*(w**(2\/7))**(-2\/49)*w\/(w*w\/w**(-4))*(w**(-2\/3)\/w)\/w assuming w is positive.\nAnswer: w**(-222847\/20580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 2:20 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 5:27 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 744153 = -5*i. Let o = 2255847 + i. What is o rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.09 (b) 1 (c) -184 (d) 4 (e) -5 (f) -7 (g) 61\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24171 (b) -3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63.7 - 98. Round o to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00060520808 rounded to six decimal places?\nAnswer: 0.000605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1352*d**2 + 1020*d - 2045. What is the tens digit of j(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Convert 141035 (base 7) to base 13.\nAnswer: c260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, d: 2, r: 1, m: 4, c: 1, i: 3}. What is prob of sequence scr?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0 + 0*w**2 - 9*w + 1\/45*w**6 + 2\/189*w**7 + 0*w**5 + 0*w**3 - 1\/54*w**4. Let s(a) = 0. What is a?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14231341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -33368251?\nAnswer: 33368253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 309425*n - 309420.\nAnswer: -5*(n + 1)*(n + 61884)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 28. Let m be k(-18). Let n be (18\/4)\/(m\/(-40)). Let i be ((-24)\/n)\/(3\/(-9)). Which is smaller: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371 = -f - 109. What is the common denominator of 3\/16 and f\/(-36) - (-4 + 3)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -23*n**3 - 1286*n**2 + 118*n + 330. Determine x(-56).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95)\/475)\/((-1)\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.28 - -0.02. Sort -2\/7, z, -0.08 in descending order.\nAnswer: z, -0.08, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20\/511 - -22339\/68985. Is -1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**2 + 581*r - 2547. Calculate g(111).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 211*b**2 - 14*b - 7. Let f(n) = 210*n**2 - 12*n - 6. Determine 7*f(i) - 6*o(i).\nAnswer: 204*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2874, -2879, -2872, -2853, -2822?\n\"Answer: 6*q**2 - 23*q - 2857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - k**2 - 1. Let l(d) = 2*d**3 - 4*d**2 - 6. Let w = 182 - 183. Let v be w\/(((-39)\/78)\/(1\/2)). Give v*l(u) - 4*n(u).\nAnswer: -2*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.9 (b) 0.017 (c) 1\/4 (d) -2\/55 (e) -5\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 23 + 20)*(-2*r - 3*r + 6*r).\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 344634885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 152*l**2 + 8 + 3*l**4 + 5*l + 6*l + 153*l**2 to v*l**2 + x*l**3 + k*l + p*l**4 + w and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 - 4*a**2 + 195769. Is f(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 - 2684*w\/3 + 900482\/3.\nAnswer: 2*(w - 671)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 52. Suppose q + i*q = 64. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 48*t. Let n(f) = 13*f**2 + 5*f - 252. Determine n(u(d)).\nAnswer: 29952*d**2 + 240*d - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*l - 10 = 0, -4*g + 4*l - 8 = -2*g. Suppose g = 17*t - 16*t - 98. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0, -4, -12, -1388, 0.2 in ascending order.\nAnswer: -1388, -12, -4, -0.1, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2234.25743 to the nearest ten.\nAnswer: -2230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1543.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/4*z**3 + 63\/4*z**2 + 0 + 33\/2*z = 0. Calculate z.\nAnswer: -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 92 = -20*t - 142 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -34520?\nAnswer: -34513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -217 + 265. Calculate the greatest common factor of d and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 6:35 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 99008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1574731 and 11.\nAnswer: 17322041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from {z: 1, u: 6, f: 1, t: 5, j: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5351 (base 11) in base 4?\nAnswer: 1232202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61772.\nAnswer: 2, 15443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1142*q**3*r + 5*q**3 + 118*q**2*r - 7*q**2 - 1305*q*r - 38588*q wrt q?\nAnswer: 6852*q*r + 30*q + 236*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 30 + (-59 - -38).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -878*b**3 - 880*b**3 + 18 + 1760*b**3 + (2 - 2 + 2*b**2)*(2*b + 0 + 0).\nAnswer: 6*b**3 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 442163\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26142 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 156. Let w be c(0). Suppose -33*t + 29*t + w = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11\/24 - 1\/8. Let l = -0.441 - -0.3935. Let i = -0.1475 - l. Which is the fourth biggest value? (a) 1\/5 (b) -2\/13 (c) x (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - 2.6. Let k = 34 + -38. Let b = j - k. What is the nearest to -0.1 in b, -0.4, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79502163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*h - 49*h**2 - 15870*h**3 + 15497*h**3 + 41*h**2 wrt h.\nAnswer: -2238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 19*p**2 - p - 20. Let d be y(-19). Let k(x) be the second derivative of 11*x**4\/6 + x**3\/6 + x**2\/2 + 2*x - 293. Give k(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 8*s**2 + 6*s + 9. Let u be (-3 - -2)*14\/(-2). Let n be z(u). Suppose 3*f + n = 5*f. Solve -g + f = -3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -369 - -369. Sort 3, -1, 19, w in decreasing order.\nAnswer: 19, 3, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*p**4 + 26 - 26 + (p**2 - 2*p**2 - p**2)*(0*p**2 + p**2 + p**2) + 449*p + 3*p**4 + 3*p**2 - 449*p as g*p + i*p**2 + o*p**4 + w*p**3 + n and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -1 (b) 53315 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7668445155?\nAnswer: 3, 5, 7, 151, 433, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**8\/90720 + o**7\/5670 + o**6\/270 - 11*o**5\/30 + 9*o**2 - 2*o. Let i(p) be the third derivative of v(p). Factor i(h).\nAnswer: -2*(h - 6)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(-4*s - s + 2*s + (1 + 2 - 1)*(s + s + 0*s))*(3*s - 26*s - 11*s)*(0*s**2 + 0*s**2 + 2*s**3).\nAnswer: 68*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 - 31 = -4*c - 5*w, -48*c - 3*w + 66 = -42*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1\/3, -1, 3, 5 in decreasing order.\nAnswer: 5, 3, 1\/3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ca2b4 (base 14) in base 11?\nAnswer: 641500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51.5 and -0.2?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 13, -0.2, 4, -5.\nAnswer: -5, -0.2, -0.1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 84588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 8 + 12. Solve d*r + 4 = -11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -667131, -667130, -667129, -667128, -667127, -667126?\n\"Answer: c - 667132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 6*w**2 + 9*w + 8. What is the remainder when o(-8) is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 89 = 88. Solve -4*g = b + 3, 4*b + 6*g = g - r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/124705 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 10. Let q(k) = -3. What is h(a) + 3*q(a)?\nAnswer: 3*a**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - m + 7050 = 0, -m - 2*m + 15 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 6. Let u be 11398\/417 + 5\/3 + -1. Suppose u*c = 57*c + 145. What is the nearest to 1 in -1, h, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 5:45 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*k + 2*k. What is the units digit of k\/1*1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 - 19*v**2 - 11*v - 1. Calculate a(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.15, -1\/6785, -2\/5, 0.4?\nAnswer: -1\/6785","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 10:13 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*q*x**2 + k*q*x + 26*k*q + 34*k*x**2 - 1766*q*x - 13*x**2 wrt k.\nAnswer: -q*x**2 + q*x + 26*q + 34*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (198 - 36*x**2 - 198)*(3 + 2 - 2)*(7 - 7 - 2*x) in the form d*x**3 + z*x**2 + j*x + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -70. Suppose 0 = a*v - 5*g - 45, -v + 0*v = -2*g - 15. Solve -v*u + 14 = -5*i - 11, 5*u = i + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (11 + (0 - (-3 + 12)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0 - l**2)*((-9 + 2 - 1)*(2 + 4 - 5) - 10 + 7 + 16)*(2*l + l + 4*l) in the form i + x*l + n*l**2 + d*l**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29603 + 29603 + 9*r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 3*z + 6. Let m be t(5). Let i = -2 - m. Solve i*o - 3*f = 5*o, 5*o + 4*f + 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-8*w - 44 + 44)*(-3*w - 2*w - w)*(-2 + 2 - 2*w) - 5*w**3 + 4*w**3 + 2*w**3.\nAnswer: 97*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uubigggkbugbxbg. Give prob of picking 1 x and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 7696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + q - 1. Suppose -3*a + 3 + 0 = 0. Let i(r) = -54*r**2 - 7*r + 6. Let t(m) = a*i(m) + 6*w(m). What is the second derivative of t(o) wrt o?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 + -100. What is the remainder when 459 is divided by y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 576822560.\nAnswer: 7498693280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 - 4*n. Let o(t) = 100*t**2 - 100*t. Let w(k) = -11*k**2 + 11*k. Let h(b) = 6*o(b) + 55*w(b). Give -2*h(i) - 3*r(i).\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8665290, -34661156, -77987602, -138644628, -216632234?\nAnswer: -311950420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 53. Let n = -590 - -6484\/11. Which is the smallest value? (a) s (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 22, -220, -1, -2.\nAnswer: -220, -5, -2, -1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010010 + 100001001111110?\nAnswer: 100000011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 152*p - 147*p - 7*m, 32 = -p + 10*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.49627 and 0.02?\nAnswer: 0.0099254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 7*q + 48. Let v be u(4). Solve v*x = x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**5*x**3 - 756*b**5 + b**2*x**3 - 165*b**2*x wrt b.\nAnswer: 60*b**2*x**3 - 45360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2605435093 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2204\/5 > -441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7))**(-24)\/(o**(-3\/10)*o**3) assuming o is positive.\nAnswer: o**(291\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 819 and 504.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/3 + (-262)\/(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.19109363 + -3?\nAnswer: -68.19109363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49216 is divided by 259?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4 + 4 - 8*r. Let s(z) = -5*z - 8. Suppose -9*u = 7*u - 64. Let o(g) = -6*g - 10. Let h(a) = u*o(a) - 5*s(a). Calculate h(b(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 526375159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuukxgkuuuuxuuuxxug. Give prob of sequence gkkg.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25111867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/117 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 5*n - 193 + 186, 0 = 2*n + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1074 = 5*b + 197, 5*h = -b + 3218. Let a be ((-30)\/18)\/((-24)\/18)*4. Suppose -l - 2*w = -167, l = a*l + 3*w - h. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b**2. Let v(k) = -k**2. Let h(o) = -2*t(o) + 18*v(o). Let x(p) = 3*p + p - p - 4*p. Give h(x(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 4*c**3\/3 - 16*c**2 + 64*c - 44. Factor i(a).\nAnswer: 4*(a - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5347 a factor of 261600746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110001011110001 - -1011001011?\nAnswer: -100110000000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (798\/(-437) - -2) + 0\/(-5).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70303644?\nAnswer: 2, 3, 127, 15377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2 + 112*j - 1010. What is the units digit of g(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (2 + -3) - -14.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 554 - 551. Solve x*c + 5*j - 5 = c, -2*j = c - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2145*b**3*f**2 + 252*b**2*f**2 - 3*b**2 - b*f**2 wrt b.\nAnswer: 12870*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/507794 and 61\/7636?\nAnswer: 1015588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - (-13 - (10 + -44))) + 16.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 7*n - 3. Let f(i) = i**2 - 6*i - 2. What is 4*f(c) - 3*y(c)?\nAnswer: -2*c**2 - 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 277, -0.1, 3, -60 in ascending order.\nAnswer: -60, -0.1, 3, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1331113481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.17 or -41981?\nAnswer: -41981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 134551117 or 134551118?\nAnswer: 134551118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 1. Let t(f) = -4*f - 43. Calculate -6*m(l) + t(l).\nAnswer: 2*l - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31111 is divided by 1150?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -13. Suppose 7*f + 9 = 4*f, -r*f = 3*d - 57. What is the greatest common divisor of d and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 606, 909?\nAnswer: 1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9906 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29405 divided by 204.\nAnswer: 29405\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239 = 121*o + 1213 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1662 + 1690. Which is greater: 8 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/4 - (-4)\/(-2). Let h = -4 + u. Suppose -r + 18 = -h*m, 0*m - m - 42 = -4*r. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -69.820025638 and -13.1.\nAnswer: -82.920025638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 80641101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600) - (sqrt(3600) + 3*sqrt(3600)))\/(-2*sqrt(1728)).\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (99 - 24) + -16?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u + 33*u - 57 - 186 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7)*b)\/b*b*b*b\/(b**(3\/7)*b)*(b*b*b*b**0\/b*b)**(-3\/5))**(1\/11) assuming b is positive.\nAnswer: b**(-18\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 56 = -31*q. Sort 0, 4, 3, q in decreasing order.\nAnswer: 4, 3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -630 greater than or equal to -18975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2. Let b(g) be the second derivative of -4*g**7\/315 - 7*g**4\/6 - 4*g. Let h(o) be the third derivative of b(o). Give h(t(q)).\nAnswer: -128*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100 - -21?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**2*k**4 - 2*g**2*k - g**2 - 5*g + 2*k**4 + 4*k**2 wrt k.\nAnswer: 12*g**2*k**2 + 24*k**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5 - 671*x**4 + 10981*x**3 - 3137*x**2 - 7170*x = 0. What is x?\nAnswer: -239, -2\/3, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -0.5, -4 in decreasing order.\nAnswer: -0.5, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385695 is divided by 106591?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 4*l + 3. Let p = -46 + 49. Give h(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**2 + 45*m + 9. Let l be c(-9). Put 1, l, 0, 7 in descending order.\nAnswer: l, 7, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.94 + 2. Let x = q - -3.94. Let p = x + -3.7. What is the second biggest value in 5, p, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -47495?\nAnswer: -1\/47495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38.67 and -12.\nAnswer: 464.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*4*21\/24. Let p(y) = 2*y**2 - 6*y - 8. Let g be p(a). What is the highest common factor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*s = 15, -2*p - 4*s = -6*p - 20. Suppose p = 4*q - 5*j + 24 - 153, 3*j - 9 = 0. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 u when three letters picked without replacement from {s: 1, p: 3, l: 3, b: 2, u: 3, g: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gaaf when four letters picked without replacement from dgadggooaddofodd.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x = 1927*p - 1924*p + 60, 2*x + 2*p = 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3912, -16143, -36538, -65103, -101844?\n\"Answer: -w**3 - 4076*w**2 + 4*w + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97501*n + 97492*n = 612 for n.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-13 - -7) + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v - 24 = 0. Let a be 2\/v - 1006\/(-12). Suppose -d = 2*d - a. Calculate the highest common divisor of 70 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 7, 24 in descending order.\nAnswer: 24, 7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*h**2*n**2 - 234132*h**2*n + h*n**2 - 152*h*n + 3403*n**2 wrt h.\nAnswer: 62*n**2 - 468264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -730*t**2 + 34*t + 747*t**2 - 28*t + 8. Let u(o) = -o - 2. Let c be u(2). Calculate the remainder when z(c) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -6*a - 4*t + 37, 0 = 2*a + a - 4*t + 87 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, l: 3, b: 4, t: 7, q: 1}. Give prob of sequence tbbl.\nAnswer: 3\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f - 2. Let g be t(1). Let j be g + 35 - (0 + -4 - -3). What is the highest common divisor of j and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 556 - 2191\/4. Suppose 18*l = 15*l - 60. Calculate the common denominator of (0 - (-17)\/4)\/(l\/200) and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.058 to one dp.\nAnswer: 16.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.16 + 10.16. Let a = -0.38506 + 0.08506. Let b be (-35)\/(-14) - (0 + 1). What is the nearest to w in -2\/7, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2386 greater than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyygyggygyyyyyyyyyy.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - v - 1. Let g(n) = 17*n**2 - 3*n + 110. Let f(l) = -g(l) + 3*i(l). Let h(y) = 2*y. Give f(h(u)).\nAnswer: -32*u**2 - 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*x**3 - 3*x**3 + 3*x**3)*(4 - 6 + 4) + 2 - 2 + x**3)*(15 + x - 18 - 3*x).\nAnswer: -10*x**4 - 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 + f. Let t be j(2). Let w be (t\/(-21))\/(3\/21). Is (-64)\/w*(-12)\/(-4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and -5 + -1347*(-13)\/(-78)*-2.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 269588 and 573710?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 20163?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-2*(3*sqrt(209) - sqrt(209)) - sqrt(209)) + sqrt(209)))\/(-1*sqrt(891)*-1)*5.\nAnswer: -20*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.95 - 0.4.\nAnswer: 8.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 164*v**3 - 2*v**2 - 8*v - 2. Let q be m(-3). Let r = q - -57477\/13. Calculate the common denominator of r and 69\/22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/24*22\/(-165)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.039107 litres to millilitres.\nAnswer: 9039.107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*t + 1. Let x be -1 + 0 + (4 - t). Solve 0 = -b - x*b + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 110 = -25*b. Let m(r) = 17*r**2 + 2*r - 8. Let s(z) = 11*z**2 + z - 5. Determine b*m(u) - 8*s(u).\nAnswer: -3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(1584) + 3 + -1 + 0 + sqrt(1584)).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -43758*n - 936. Let k(s) = 468*s + 10. Let o(h) = -5*j(h) - 468*k(h). Let w(m) = m**2. Give o(w(t)).\nAnswer: -234*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**16\/h)\/h**(-3\/11)*h**16\/(h**(-5\/3)*h) assuming h is positive.\nAnswer: h**(1054\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/5))**23*(b\/b**(-29)*b)\/b**12)**(2\/177) assuming b is positive.\nAnswer: b**(52\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*c - 19 = -2*c, 5*v - 22 = 4*c. Suppose 26 - 7 = v*i - 5*h, 7 = -i - 3*h. Suppose i*w + 2*y = y + 45, 5*w - y - 109 = 0. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((2 - 1)*1)\/(-1). Let v = 3 - a. Find the third derivative of f**v - 2 + 4 + 3*f**2 - 2 wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -610 + -1777?\nAnswer: -2607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 295 = 5*m, 0*m - m + 4*r + 36 = 0. Let n = 55 - m. Let q = 22 + n. Solve 0 = 5*l - z - 23, -4*l + 2*z = l - q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 20. Let u be d(-15). What is the nearest to u in -2, -3\/2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834346779.\nAnswer: 3, 7, 67, 733, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/(4 - (-270)\/(-68)). Suppose 4*a - 53 = 19. Is 114\/a*(-3 - u - 2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26355295*i**4 - 180173*i - 25.\nAnswer: -316263540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 20 = 0, 0 = 2*f - 4*j - 24 - 26. What is the least common multiple of f and 429?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2967)\/39*(-21 + -1 - -3). Let j(u) = -40*u**2 - 4. Let a be j(6). Let i = g + a. Calculate the common denominator of 49 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(8 - 715\/90)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 84\/(-15)*1\/3. Let l(g) = g**2 + g - 2. Let f be l(-3). Suppose -f*m = -3*m. Does d = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w + 10. Let o be c(2). Suppose 0 = -o*v - a + 9, 0*v = -v - 3*a - 3. Suppose -8*k + v*k = 0. Solve -y = 5*d + 9, 2 = -k*d - 2*d - 2*y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**2 - 76*x - 168 = 0.\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 2*s - 5. Let c(h) = -h**3 - 2*h + 4. Give 3*c(q) + 2*x(q).\nAnswer: -q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or -5121247?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1165 - -0.084. Let u = -0.0164 + x. What is u rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - i = r - 4, 5*r = -i + 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/60 + h**4\/24 - h**3\/6 - 5*h**2. Let z(r) = -3*r**3 - 5*r**2 + 5*r - 5. Give 5*j(c) - z(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33.86513 and -0.13.\nAnswer: -4.4024669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.27? (a) 3 (b) -1\/8 (c) 0.079789 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-250)*183350\/(-570). Is u greater than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*p = 2114, 970 = 2*z + 3*p - 1144. Let n = 5227\/5 - z. Calculate the common denominator of n and -113\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21703564 rounded to the nearest 1000?\nAnswer: 21704000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.9 in 3, -1, 2, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*h - 52 = -291*h - 4*a, -a + 10 = h. Solve 0 = 12*y - h*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-769 + 443 - 154)*(2*a**4 + 2*a**5 - a**5 - 3*a**4).\nAnswer: -480*a**5 + 480*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 11*c - 46. Let w(m) = 2*m - 9. Let s(h) = -2*v(h) + 11*w(h). Let p be s(4). Calculate the greatest common factor of p and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2\/7 + 6*o\/7 - 15 = 0. What is o?\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 537 and 1316724?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*-6*-3*6*(sqrt(1088)*2 + 2))**2.\nAnswer: 26770176*sqrt(17) + 1829088889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Suppose -j + 3 - 1 = h. Suppose -3*f = -4*p, 3*f - j*p = 2*f. Solve -3*m - 5*y + 8 = f, y - 2*y - 4 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -81*p**3 + 24788*p**2 - 617*p + 1538. What is k(306)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5398, 8796, 12196, 15598?\n\"Answer: g**2 + 3395*g + 2002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -19207 divided by 3\nAnswer: -19207\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -629 + (-459 - -1087) + (1 + 18 - 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167\/23, -3\/4, -0.4 in increasing order.\nAnswer: -3\/4, -0.4, 167\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1380)\/17664*2\/(-5).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1922205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y. Let w(s) be the second derivative of -s**3\/2 + 21*s**2 + 19*s + 1. Determine j(w(g)).\nAnswer: -6*g + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 14) to base 4\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -5*p - 69. Let v = 29 + p. What is the highest common divisor of 24 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16508, -16479, -16430, -16361, -16272?\nAnswer: -16163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/16*24\/20)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6842\/6 + (-24)\/(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Suppose -c*v - 3 = -23. Suppose 5*z - 417 + 142 = 0. What is the greatest common factor of z and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 21. Let t be 5\/2 + 3 + 36\/(-8). Sort -2, t, p in ascending order.\nAnswer: -2, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 24. What is the remainder when (-8)\/(-6) - 2\/6 is divided by (-4)\/s*(1 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10506 and 30900.\nAnswer: 525300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -264*h + 259*h. Suppose 0 = 2*i + 3*k - 16, -4*i - 3*k + h + 8 = 0. Sort 11, i, -1 in ascending order.\nAnswer: -1, i, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by (-2 + 1)\/(-1) - (-48 + 1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**0*s)\/s)\/s)\/s**(-6\/7))\/(s\/(s\/s**4)*s)**(1\/5) assuming s is positive.\nAnswer: s**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*i - 47, -2*i + 26 = -3*m + 4*m. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-6) + (-1 - 128\/(-60)). Which is the nearest to 1? (a) 2 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9999\/2 - -4816. Let g = 149 + p. What is the common denominator of -2 + 1 - 357\/18 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1992 + 1992.06. Let d = 8 - 6. Which is the closest to w? (a) 4 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*n**2 - 23600*j**2*n - 5802*j*n**2 + n**2 wrt n?\nAnswer: 2*j**2 - 11604*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 2*d**2 - 3*d - 3. Give u(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1 + 4 - 2*r - 1 + 6. What is k(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*g**2 + 5*g**3 + 25 - 144*g - 15*g**2 - 6*g**3.\nAnswer: -g**3 - 45*g**2 - 144*g + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 367.3237 + -186.278. Let h = j + -172.09. Let k = -9 + h. Round k to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 p when four letters picked without replacement from pgggpgggpggppgggpgp?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(1700) + 5 + -2) + 5)*-1.\nAnswer: -20*sqrt(17) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.245 and 2?\nAnswer: 3.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53.2*4.\nAnswer: 212.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8\/105 (b) -3\/26 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4) + ((-1*sqrt(144) - sqrt(144)) + sqrt(144) - sqrt(144)) + sqrt(4)).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - -4.6. Let p(u) = -u - 1. Let j be p(-7). Let h be j\/(-4) + (-22)\/4. Which is the third smallest value? (a) h (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t - 4. Is t less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - 249\/(-75))*63\/12726. Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/3*9\/60 and -59\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0.02135.\nAnswer: -1.97865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 11*c**2 + 7*c - 9. Determine n(10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Let v(u) be the first derivative of 29*u**2 + 7*u - 10. Let a(p) = 39*p + 5. Let r(q) = 7*a(q) - 5*v(q). Calculate b(r(o)).\nAnswer: 17*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 5*m**2 + 6. Let q be u(-5). Suppose 0 = 5*p - 2*s - 38, -3*p = -5*p - 3*s. Suppose -133*d - 13937 + 14469 = 0. Solve -q*f = -d*f + p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 14 = -0*p. Let n = -101 + 106. Suppose -4*x + 4 = -0. Solve n*o + p - x = -3*i, -3*i - 3 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**4\/9 - 4370*s**3\/9 + 4765477*s**2\/9 + 2123820*s + 2125764 = 0?\nAnswer: -2, 2187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16380975 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l*m*z - 2*l*m + 41*l*z - 1921*m*z with respect to l.\nAnswer: 3*m*z - 2*m + 41*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 24. Let w(b) = 2*b**2 + 31*b + 110. Let z be w(-3). Calculate the highest common factor of z and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, q: 2, j: 2, e: 3}. What is prob of picking 1 j and 1 e?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.01 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 24555*f**2 - 170*f + 30*f + 24553*f**2 in the form k*f**2 + u + s*f and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.49045 rounded to zero dps?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (15\/54)\/((-44)\/33*(-20)\/(-16))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -612 + 628. Let a(v) = v**3 + 16*v**2 + 12*v + 35. What is the least common multiple of n and a(-15)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 22. Let p be 1 + 2 + (-1 - x). Suppose 2*w - w + 2 = p*h, w = 3*h - 5. Solve 7*v - h*v = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f**3 + 4*f. Let p(m) = -12*m**3 + 5*m + 1. Let a be 20 + (-25)\/((-175)\/(-126)). Calculate a*p(y) - 3*r(y).\nAnswer: 12*y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-1)*s*s))**(2\/67)*s\/s**0*s*s*(s*(s**6\/s)\/s)\/s*(s**1)**23\/(s**(-3\/8)*s**3) assuming s is positive.\nAnswer: s**(219\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 3, i: 1, u: 3, e: 2}. Give prob of sequence ui.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -1 (b) 2\/59 (c) -1\/8 (d) -2\/5 (e) 2 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeoeotmeaeoxxme. Give prob of picking 1 t and 1 m.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34092, -33734, -33376, -33018?\n\"Answer: 358*b - 34450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5600000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 91*p - 87*p. Let b(w) = 4*w**3 - w + 2. Let d be b(p). Let s(a) = a**3 - 7*a**2 + 8*a - 6. Give s(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8.4557 (b) -2\/3 (c) -0.3 (d) 4\/9 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 512891161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.166997426 rounded to 2 decimal places?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 16*s**2 - 34*s - 13. Let y be t(-14). Let w = y - 69. What is the second derivative of -41*o + 16*o**w + 16*o**2 - 31*o**2 wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 7) in base 9?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 2 (c) 11\/13 (d) 5\/2 (e) -0.3 (f) 100\/3 (g) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.4 + 9.5. Suppose 6*i = 2*i - 20. What is the closest to x in 2\/3, i, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b1302 (base 12) in base 16?\nAnswer: b1b72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by -1 - (-21)\/(-3) - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -2462750?\nAnswer: 11\/2462750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - sqrt(27)\/sqrt(3))\/sqrt(3))**2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25577814*o**6 - 1321*o**2 + 14*o - 464 wrt o.\nAnswer: -3069337680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-1) + 2*-1. Let l(w) = -6*w**2 - 352*w + 728. Let q be l(2). What is the nearest to a in q, 1\/2, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(84)\/(-1*sqrt(12)) + 3.\nAnswer: -sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/24 + (-5)\/40 + 10. Suppose 0 = -a - c + 59. Suppose o - a = -3*k + 108, o - 2*k = 136. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(286\/(-30)*(-1665)\/7326)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8666*i + 271853 = -386763 for i.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0 - 2. Suppose 2*y + a*s - 16 = 0, 2*s + 3*s - 5 = 2*y. Let g(u) = -u**2 + 5*u + 5. What are the prime factors of g(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2) - (-2)\/((-16)\/140). Let d be 2*((-44)\/x + -3)*-10. Let u(r) = r**3 - 3*r**2 + 4*r - 2. Is u(d) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1050 by 70.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 + -57. Let n = -24 + k. Solve 5*m = -4*r - 9, m + 2*m + n = 2*r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -535?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 119958200 rounded to the nearest one million?\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 11*s**2 + 15*s**2 + 21*s + 51*s + 16*s to the form b + n*s + q*s**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(108) - sqrt(108)) + sqrt(108))*3 + sqrt(108).\nAnswer: -3 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -10*j. Suppose 0 = 9*a + 13*a - 44. Let h(t) be the second derivative of t + 0 - 1\/3*t**3 + 0*t**a. What is b(h(y))?\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9*(-4 - -5). Let i = 41.977 - -0.023. Let d = -40 + i. Which is the closest to d? (a) 4 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -470 + 3098. Is 30 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1001 and 8349?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 533*g - 514. Is o(51) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (1 - 8 - (-100 - -100)) + 3 - 25\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(-5 + (-3 + (sqrt(245)*-1 - sqrt(245)) + (sqrt(245) + sqrt(245)*-2 + sqrt(245))*-6 + 0)**2 + -2).\nAnswer: -5892 - 504*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11675302.\nAnswer: 2, 5837651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + sqrt(243)*-4 - sqrt(243))*-5*2)\/((sqrt(675)*-2 + sqrt(27) - sqrt(27))\/(-4*(sqrt(3)*-1 - sqrt(3)))).\nAnswer: -96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 1. Let k be 4\/4 - 1 - -1. Let n be 1*(2 - k) + 2. Let w(c) = -6*c**3 + 12*c**2 + c + 3. Let s(b) = n*w(b) - 15*t(b). Factor s(p).\nAnswer: -3*(p - 1)*(2*p + 1)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 - 21*l**2 + 1107*l - 11998. Calculate y(11).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120486*0.1.\nAnswer: -12048.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3098, 6195, 9292, 12389?\n\"Answer: 3097*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*l - 112. What is the highest common divisor of l and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.7762 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 50. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993165 to the power of 1\/2, to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 257430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9792 - 78199\/8. Let b = 1141\/72 - c. Find the common denominator of 4\/(-6) + 18\/4 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 24*y**2 + 85*y + 9. Let j be o(-13). Let s = 1314 - j. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54987554.\nAnswer: 2, 17, 97, 16673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 708.\nAnswer: -3, 2, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7080.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-12)*(-32)\/(-28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 224, 219, 214, 209, 204, 199?\n\"Answer: -5*u + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -77*v + 2238. Give a(24).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -74496 times 6\nAnswer: -446976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 380959032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -10.09 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -371 - -371.1. What is the nearest to p in 5, 6, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(13) + sqrt(325) + 0 + (sqrt(208) + -5 - sqrt(91)\/(sqrt(14)\/sqrt(2))) + -3.\nAnswer: -9 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-4 + 2))\/(4\/72). Suppose i = -y + 20. Suppose 7\/4*r - 3\/4*r**i - 1\/2 = 0. What is r?\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 237728 and 31312?\nAnswer: 24485984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1862 and 1666.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 484, 481, 478, 475?\n\"Answer: -3*i + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h + 1. Let o(w) = -1. Let x(q) = l(q) - 2*o(q). What is the remainder when 80 is divided by x(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-1 - 1) - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**3*l**3 - j**3*l + 23*j**2*l - 40*l**5 wrt l?\nAnswer: -18*j**3*l - 800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 468 - -4571. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(147))**2*-3 - (-3*((sqrt(147) + 2 - sqrt(147)) + sqrt(147) + sqrt(147)) - (sqrt(147) + 2*sqrt(147)*-2))**2)*4.\nAnswer: -168*sqrt(3) + 3444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*s + 1 - 16, 4*q - 60 = -4*s. Suppose 5*a - q = -3*b, -5*b + 15 = -5*a - 2*b. Solve 3*n = -a*n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z - 3*z + 2*z.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1 + 3 = -4*j, 0 = 2*j. Let i be 6*((-3)\/n + (-5)\/2). Solve m - 2*m = -v - i, 4*v = -8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -j + 3*s - 8*s, 4*j + 4*s = 408. Suppose -4*o - j = -11. Let h = 3 - o. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0319969 + 0.032. Round m to 7 dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*s**3 + 87 - 164 + 79 to u*s + x*s**2 + l + f*s**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 10:35 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/16 and 73\/3446068?\nAnswer: 13784272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 6, 1\/5, 4\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1511 - -246. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 676414899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292441553 to the nearest integer?\nAnswer: 17101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 1214437*u + 1213591*u.\nAnswer: -846*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 5*m**2 - m + 2. What is the units digit of x(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - (73 + -14 - 72 - (-1 - -7)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 10. Suppose 3*i + 5*g - 38 = 32, -i + 4*g + 12 = 0. Suppose v*n - 15 = i. Is 6 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2378 take away 0.1?\nAnswer: -2378.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786*n - 791*n + 35 = 5*z, -z - 30*n - 118 = -415 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from obaaaaanc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61838730 and 1044.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m - 103\/6*m**6 + 0*m**4 + 0*m**2 + 94 - 3*m**3 + 0*m**5. What is the third derivative of y(k) wrt k?\nAnswer: -6180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**4\/4 + 11*t**3\/3 + 6*t**2 + 5*t + 8. Let s be j(12). Solve -a + 1 = 2, 0 = 3*i - s*a - 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2\/m)**(3\/22)*(m**(-2)\/m*m)**40*(m**0)**(-4)*(m**1)**(-2\/7) assuming m is positive.\nAnswer: m**(-12343\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 1210201200020111?\nAnswer: 1210201200020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -13*p**6\/120 - p**5\/15 - 49*p**4\/8 - 2*p**2 - 20*p. Find the second derivative of h(j) wrt j.\nAnswer: -78*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 5*r + 18, 3*k + 3*r + 22 = -2*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 3*b - 5. Let w be q(3). What is the fourth smallest value in 0.2, -4, 1\/6, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42405 is divided by 343?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70360 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 0.5, 182783, -3, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m - 59. Suppose 2*b - 5*l + 5 = b, 0 = -b - 2*l + 16. Let c be -17 + (b\/(-5) - 0). Is r(c) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 61*w - 2. Let s(y) = 18*y**2. Calculate o(s(x)).\nAnswer: 1098*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -359132.478 rounded to the nearest ten?\nAnswer: -359130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 2206.\nAnswer: -1544.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*k - 2*k + 750 = -29*k - 14482 for k.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 3*t**2 + 3*t - 2. Let m be s(2). Let w(q) = -q + 12. Let o be w(m). Let x = 121 + o. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q*q**(-2)*q*q)\/q))\/((q*q**(1\/4))\/q)*q**(1\/4)\/((q**(-1\/4)\/q)\/q))**(20\/3))**(6\/11) assuming q is positive.\nAnswer: q**(130\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 6\/(-4) + 206397\/142.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 9 = -0. Suppose -4*o + o + 3644 = -4*t, 0 = y*o + 3*t - 3672. Suppose o = 4*g + 368. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*b - b + 3*y, -5*y + 30 = 5*b. Suppose b = -2*x, -w - x + 16151 = 3*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 - 105*t**2 - 54*t + 61. Calculate l(53).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9548?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23728 divided by 117.\nAnswer: -23728\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z - 274*z = 230*z + 226*z + 2816 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**3*n**2 + 5560*c**2*n**3 - 125*n**3 - 15*n**2 wrt c.\nAnswer: -3*c**2*n**2 + 11120*c*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-14*1 + 2)*42\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 317\/260 + -1\/52. Let l = 17.67 + -18. Let i = l + 0.03. Which is the smallest value? (a) 0.1 (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1140\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1430)\/65*(-51)\/(-187)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 13) to base 2.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 5*l + 3 + 2 - 4*l - 2 + (2*l - 2*l + 2*l)*(0 + 0 - 1) + 2 + l + l + 0*l.\nAnswer: -9*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 21*l = -26*l - 27, 0 = -2*t - l. Solve -t*r = -y - 0*y + 2, -6 = -3*r - 3*y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 17 + (30 - -5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(208)*-2*-3 - sqrt(208))*-2 + ((sqrt(468) + 2*sqrt(468) + sqrt(468) - sqrt(468)) + -5)*-4))**2.\nAnswer: -161280*sqrt(13) + 5884992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 610, 0.07, 0.5, -1\/4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 5 + (-109)\/19. Let g = -1158\/437 - j. Is -1 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 1031286*r + 4 = -1031290*r, -2*p - 8*r - 8 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -4*v - 3*o + 30, 2*v = -4*o + 38. Let x be (252\/10)\/((-3)\/(-20)). What is the greatest common divisor of x and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -153. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161.0449 - 161. What is h rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**4 + 18*g**2 - 2192*g wrt g?\nAnswer: -12*g**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 482018 by 241009.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(204)*-3 + sqrt(204)) - sqrt(204))\/((sqrt(96)*2 - sqrt(96))\/sqrt(8)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + 426. Let o = -459.8 + m. Which is bigger: o or -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25134 by 354.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 84\/295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490972 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712 is divided by 179.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184422, 184421, 184420?\nAnswer: 184419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vffffvv. Give prob of sequence fvv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2 + 70*t + 1200 = 0. What is t?\nAnswer: -10, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 1:19 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3024 divided by -42.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 14*u + 10. Let g = -123 - -108. Let w be t(g). Let j = 32\/3 - 11. Sort 0.1, j, 3, w in decreasing order.\nAnswer: 3, 0.1, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 48 = -0*j. Calculate the smallest common multiple of j and (-3)\/(-21)*167 + (-2)\/(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d + 35. Let s be q(15). Suppose 5 + 7 = 4*l - 4*m, 13 = s*l - 4*m. Calculate the least common multiple of l and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10\/11)\/c**27)\/(c*c**(1\/4)\/c)**(4\/9) assuming c is positive.\nAnswer: c**(-2774\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8937 + 2924. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4179924138.\nAnswer: 2, 3, 13, 2719, 19709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 - 79.19. Let p = 20254.2041 + -20257. Let o = d + p. What is o rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(2\/1 - -2). Suppose 3*i - h*i + 24 = 5*w, 4*i - 36 = -5*w. Suppose -3*u + 4*y - 26 = 0, u + 2*y - 14 = 3*u. Put u, w, -5 in ascending order.\nAnswer: -5, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -621076411*0.3.\nAnswer: -186322923.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101498832, 101498819, 101498792, 101498745, 101498672, 101498567?\nAnswer: 101498424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 14*i + 13*i - 21, -36 = -5*g - 2*i for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/3)*g**8)**(3\/28) assuming g is positive.\nAnswer: g**(29\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 45 - -36) + -41\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 8:32 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjmjjjjnjjjjjnnjjj. Give prob of sequence jj.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from zcxdb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**4 + 108356*z**3 + 587007791*z**2 - 469697256*z - 117418896 = 0.\nAnswer: -10836, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 23. Let f be (-16)\/(-20)*d\/(-4). Suppose 0 = -5*n, 3*w = -2*w + f*n + 420000. Round w to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*1 - sqrt(2))*1 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*v - 5 = -29, -2*v + 18 = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 + 3*b + 23. What is c(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*3*15\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6772232 is divided by 742.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-4))\/(-3*(-6)\/(-126))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -12e?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrr when three letters picked without replacement from krkmmkrrk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:03 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -87 + -2*30\/12. Let v = i + 102. Solve 2*j + v = -3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 3*p + 81 = -6*x, 2*x - 54 = 3*p. Solve 3*h - h + x = -5*d, -d - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 25930 = -g. Is 122 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -3ab99?\nAnswer: -3ab9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091197567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -5.18890212?\nAnswer: 5.08890212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**5 - 3342*u**4 - 3345*u**3 = 0.\nAnswer: -1, 0, 1115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*f - 3 = 0. Let n be (f + 1 + -1)*1. Suppose -z + 3*t = 4*z + 10, -4*z - 2*t = 30. Put z, 2, n in descending order.\nAnswer: 2, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -107, -188, -269, -350, -431?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a66585 (base 11) to base 2.\nAnswer: 110100000110000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.074 (b) 0.058087 (c) 4 (d) -3 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5164956.\nAnswer: 2, 3, 53, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/147614?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -35*g**4 - 325*g**3 - 565*g**2 - 420*g - 120. Let a(c) = 3*c**4 + 27*c**3 + 47*c**2 + 35*c + 10. Let k(z) = -25*a(z) - 2*q(z). Factor k(p).\nAnswer: -5*(p + 1)**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 2, -321162, -7, -1 in descending order.\nAnswer: 32, 2, -1, -7, -321162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -825 = -3*b + a + a, -2*b + 551 = -a. Suppose -5*c - 4*d = -b - 3444, -3*c - 2*d + 2233 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.45 and -8273557934.\nAnswer: -8273557934.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*r - 155 - 65, -g - 3*r = -66. Suppose -2*s - 5*c = -64, -3*c - 57 - 39 = -3*s. Let j = g - s. What is the highest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4814*n - 12299*n - 149700 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 8:51 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -51024 and 0.73868525.\nAnswer: -51023.26131475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -271, -527, -769, -991, -1187, -1351, -1477, -1559?\n\"Answer: q**3 + q**2 - 266*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.027 * -3.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 33 = 77 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7726 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167 - 165944*m**3 - 167 - 12109*m**3.\nAnswer: -178053*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 15 + -4 + 20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1112647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.329 - 3.329. What is the biggest value in 0.25, 0.2, s?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1236316 by -309079.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.11 + -0.11. Let n = -0.02 + -8.98. Let h = n - -11. Which is the smallest value? (a) u (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2. Let w(k) = -561*k. Determine q(w(g)).\nAnswer: -314721*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (4 - 5 - (-13 + 15)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 a factor of 3184748539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4*b + 70187 - 70223 = 0, -y + b - 1 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -954040, -954053, -954080, -954127, -954200, -954305?\n\"Answer: -s**3 - s**2 - 3*s - 954035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 20 = 0, -2*y = -4*f - y - 8. Let x = 8 + f. Solve -j - x*r = 19, 2*j - 6 = 2*r - r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, w: 4, r: 3, v: 2, z: 2, j: 1}. Give prob of sequence hhv.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2 + 2141*t + 2676. Determine j(-427).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61893768 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 16*c**3 - 97*c**2 + 10*c - 9. What is the least common multiple of 75 and q(6)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 301170457?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 685070 a multiple of 1053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 19, -0.2, 1, 0, 5 in increasing order.\nAnswer: -0.2, 0, 0.07, 1, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2645 - 2600. Suppose -5*u + 6 = -2*u. Find b, given that -3 + 9*b**2 - 22 - 3*b**2 + 4*b**u - a*b = 0.\nAnswer: -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 divided by 79?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 8. Let q(i) = 3*i - 11. Let u(g) = -8*d(g) - 5*q(g). Calculate u(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = 2. Solve q = -k - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxuxjjmvx. Give prob of sequence vux.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5\/7 - 5*h**4\/7 + 12*h**3.\nAnswer: -h**3*(h - 7)*(h + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*sqrt(120) + sqrt(120))*1)\/(2*(sqrt(600) - sqrt(600)*-2*-2)).\nAnswer: -13*sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 57*u**2 + 15 + 52*u**2.\nAnswer: -5*u**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/9 + (160\/9)\/8. Suppose -2*b - 3*b - f*n = -21, 0 = -5*b + 2*n + 29. Calculate the greatest common factor of b and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 + -91 + (5 - -11) + -2 + (-6 - -3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 27 = -3*l + 30, 5*l - 3 = j. Solve l = -30*d - d - 31 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -227.5 + 228. What is the second smallest value in 7, -111, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Calculate the smallest common multiple of s\/(-9) + (-2730)\/(-135) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/42*1\/(-45)*-6.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78010828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5664147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3 + 4 + (-2 + 2 + 2)*(-1 - 2 + 1))*(-3*m**3 - m**3 + 3*m**3)*(25 - 3 - 6) in the form a*m**3 + t*m**2 + d + j*m and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 355\/1476 + -3\/164. Suppose 32 = 5*j + 2*d, 3*j - 4*d - 36 = -8*d. Determine z so that 8\/9*z**j + 0 + 4\/9*z**2 - 14\/9*z**3 + m*z = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eex when three letters picked without replacement from {e: 5, x: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -5 (c) -0.1421\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3138)\/(((-18)\/(-6))\/3). Let s = 5621 + u. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36982*m**2 - 36048*m**2 + 73028*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 14. Let o(f) = 2*f - 28. Let i be 1\/(-5)*(-25 - -15). Suppose g = -5*a + 2*g + 11, i*g - 5 = a. Let j(l) = a*o(l) + 5*u(l). What is j(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 512 + -509. What is the nearest to 0.1 in 3\/4, 0, 0.87, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 251.74284 minutes?\nAnswer: 4.195714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 2. Calculate the least common multiple of s\/((-14)\/(-6) - 3) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1)*(3 - 1). Suppose -w = -2*w + 2. Solve -m = -w*z - 5*q, -z + 5*q - 22 = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12519 + -12671. Which is smaller: o or -38?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 6*n**3 + 6*n**3 + 2*n**3.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**2 - 821*n - 53202. Determine y(-105).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 1, -0.053, 4\/489?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -69707848 * 0.1\nAnswer: -6970784.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 3.76\nAnswer: 33.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 m when four letters picked without replacement from iiimimimmimi.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 4*i**2 - i + 4. Suppose 2*a = -15*a + 731. What is the remainder when a is divided by u(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*(0 + sqrt(2880)*3 + sqrt(2880)))*-4.\nAnswer: -1536*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1001604837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762256 is divided by 541.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 175258.6.\nAnswer: 175253.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379 at least as big as 1380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 7*y + 46 - 30 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21\/2 + 11. Which is the nearest to q? (a) -2 (b) -0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 712 and 344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13206)\/1562 + ((-30)\/70 - 264\/(-28))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/27489181 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*l**4 - 7*l**3 - l - 1 wrt l.\nAnswer: 204*l**2 - 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4256, -4273, -4316, -4397, -4528, -4721, -4988?\n\"Answer: -2*u**3 - u**2 - 4253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -30 (b) -3\/28 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 212674566917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (0 - 0)\/(-2). Let i(x) = -x. Let u be i(-7). Let b(j) = j - 3. Let a be b(u). Solve -s*p + 35 = -4*t - t, a*p + 4*t = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -5*o**3\/6 + 53*o**2\/2 + 32*o. Is n(0) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 681*(10 + (-104)\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1278*z = 6126*z + 39044 - 175952 - 255780 for z.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 185 - 55 + 147 - 15*v + 27*v - 18*v in the form x*v + h and give h.\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = -3*f - 4, -2*f - 4*t = 8. Solve -29*o + 17*o - 60 = f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 56 = 3*i. Let c be ((-270)\/21)\/((-2)\/i). Suppose 10 = 3*z - 35. Calculate the highest common divisor of c and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380134633.\nAnswer: 37, 331, 31039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (46764\/30)\/2 + (-8)\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 240109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10080 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -24 (b) -4 (c) 10 (d) -12 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a**5 + 6245*a**4 + 15670*a**3 + 3145*a**2 - 6270*a = 0 for a.\nAnswer: -2, -1, 0, 1\/2, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 24 = 5*m, -5*q - 5*m = -4*m + 12. Let n = 22.21 + -0.21. Let x = n - 24. Which is the closest to q? (a) 4 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 107*l + 361. What is o(50)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/3 and -115\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 2*v + 1. Let h be u(2). Suppose -2*f = -3*f + h. Let j be (1 + 1 - 1)\/f. Solve -4*k = -j - 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1268*j + 18556. What is u(-17)?\nAnswer: -3000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*z - 476 = 4*i, 66 = 3*i + 3*z + 117 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 997 + 4318 - 590 as h*v + k and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10443, -41781, -94015, -167145, -261171, -376093, -511911?\nAnswer: -668625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l - 42. Let r(m) = -3*m + 14. Let i(x) = -11*r(x) - 4*y(x). Let s be i(-10). Which is smaller: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*v = -5041 + 4345 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25074266 and 25.805.\nAnswer: -25074240.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -17*n - 207. Calculate a(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-152)\/(-39368)*592)\/(46\/42 - 1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.14967 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 12, s: 3}. What is prob of sequence uk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 686700 by 1962.\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(32\/(-36))*4\/9. Let y(n) be the first derivative of -a*n**2 - 8*n - 1\/8*n**4 + 7\/6*n**3 + 5. Factor y(j).\nAnswer: -(j - 4)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4062.1 - -4062. Let z = -12 - -17. Let l = -0.1 - -0.3. What is the closest to s in z, 3\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*d*z**3 + 6*a**2*d + 5483*a**2*z + 5*a*d*z**2 - 9*a*z**3 + a*z**2 - 3*d*z - 2*d + 9*z**3 wrt a.\nAnswer: 2*d*z**3 + 12*d + 10966*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o + 23. Let r(a) = -32*a + 24. Let v(x) = -1505*x + 1120. Let q(n) = 140*r(n) - 3*v(n). Calculate i(q(y)).\nAnswer: 70*y + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2022010201221112 + 12?\nAnswer: 2022010201221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 775*q + 780.\nAnswer: -5*(q - 1)*(q + 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2169*k + 1781?\nAnswer: -2169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -15 - k + 21 + 24. Calculate the lowest common multiple of 10 and o(11).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + (-1 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2803 + 4160. Suppose -3*i + l = -941. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*c**3 + 1)*(c - c + c) + (-7*c - 35*c + c)*(-3*c**3 + 3*c**3 + c**3).\nAnswer: -45*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 6*n**2 - 10*n + 33. Determine u(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 22*m - 14. Let d(c) be the third derivative of -c**3\/6 + 3235*c**2. Calculate -28*d(j) + 2*o(j).\nAnswer: 44*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -34. Let u be 6*(-225)\/(-40) + 1\/4. Is c bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-238)\/6*(-132)\/(-99)*5\/(-70).\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 401383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from {g: 4, i: 3, q: 4, u: 1, a: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -48)*16\/(-24)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 309*u + 306*u + 1 = 0, 0 = 4*u - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y + 15. Let u be k(-5). Suppose -3*r + 4 = -4*m - 2, 2 = 2*m + r. Suppose u = -z - m*z - z. Which is the nearest to z? (a) -1 (b) 0.2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(160) + sqrt(280)\/sqrt(7))\/(4*sqrt(45) + sqrt(1440)\/sqrt(8)).\nAnswer: -7*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**8\/168 + d**4\/12 + d**2\/2 - 3*d. Let y(h) be the first derivative of w(h). Find the second derivative of y(u) wrt u.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) -0.092 (c) 1\/4 (d) -1\/4 (e) -4.09 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 + 125*s**3 + 41*s**3 + (-3*s + s - 2*s)*(3*s**2 - 3*s**2 - s**2) + 1 - 1 - s**3 + (-6*s**3 + 3*s**3 + s**3)*(-1 + 1 + 1).\nAnswer: 170*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1231500 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 10. Suppose 4*c - 2*c - 6 = 0, 2*f + 4*c = 0. Let a be x(f). Let i(m) = m**2 + 6*m - 10. Let y be i(-7). Are y and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/10 and -91\/124?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -11. Let f be (-1544)\/2298 + (-4)\/g. Let o = f + 784\/3447. Put 2, o, -2 in ascending order.\nAnswer: -2, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - j)*(0 + 0 + 2*j**3) - 29*j**3 + 115*j**4 - 57*j**4 - 56*j**4.\nAnswer: 4*j**4 - 29*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtrxwwtrtbwww. Give prob of picking 1 b and 1 r.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -8, -3100 in descending order.\nAnswer: 5, -3, -8, -3100","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 10425755 + 9174229. Suppose -3*t = -7*t + 8. Suppose 0 = t*k + z - 9799998, -2*k - 2*z = -k - i. Round k to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 24*a**2 + 38 - 8 + 29*a + 5*a**2 + a**3. Let i be l(-28). Suppose i = 2*d, -6*h + h - 495002 = -2*d. Round h to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 29, 0, 7\/103, 0.1, 10, 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 70*y. Let f(n) be the first derivative of 4*n**3 + 899. Give s(f(q)).\nAnswer: 840*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12713476 and 56?\nAnswer: 177988664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/3 + 31792*t - 476855\/3.\nAnswer: -(t - 95371)*(t - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(12)\/(sqrt(4) - sqrt(576)*-2) + (-3*(sqrt(297) + -1*sqrt(297)))\/sqrt(11) + -5)**2.\nAnswer: -6*sqrt(3)\/25 + 5628\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 24444.26 years?\nAnswer: 24.44426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 63112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x - 6. Suppose 171 = x*d - 5*c + 2*c, -3*c + 60 = 2*d. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 995.06 - 23.41151.\nAnswer: 971.64849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1458.7 times 0.4\nAnswer: -583.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 632452 - 632447. Let c(o) be the second derivative of -19*o**3\/6 + 3*o**2 + o. Let f(k) = 18*k - 5. Calculate n*c(a) + 6*f(a).\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1363509 is divided by 43984.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2*-8*(-1)\/80)\/((-1)\/37)\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3402 is divided by 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/((-200)\/56))\/(-1*20\/4).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3038 - 24006?\nAnswer: -20857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123145054 (base 6) in base 11?\nAnswer: 70488a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 13. Let u(q) = q**3 + 5*q**2 - 3*q - 3. Determine u(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 u, and 1 l when three letters picked without replacement from {e: 1, l: 3, a: 3, t: 4, i: 3, u: 2}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 5438477?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0117188322 rounded to 5 dps?\nAnswer: -0.01172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70*(-3)\/21)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -36, -4, 22216, -2\/5, -7, 0.4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 13. Suppose 35 = -8*s + 3*s. Let l = -1 - s. What is the smallest common multiple of w and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4\/3)*q**13 assuming q is positive.\nAnswer: q**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10\/11)*p**(-17))\/((p**18*p)\/(p**(1\/3)*p*p)) assuming p is positive.\nAnswer: p**(-1141\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i + 35. Let u be d(0). Let a be 1851\/(-1260) - (-10)\/u. Let z = a - 3\/20. Is -1 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4547 - 4?\nAnswer: 4543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let f(z) = -39 - 27*z + 25*z**2 + 39. Let u(h) = -f(h) + 6*o(h). What is the second derivative of u(a) wrt a?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1 + 2 + 4*l - 5 + 2 + 4. Let o(t) = 3*t + 5. Give 5*b(j) - 4*o(j).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 2*r**2 - 16*r + 17. Calculate d(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*n + 6992, -5*k + n + 7143 = -1583. Suppose -5*y = -78 + 13. Suppose -y*q + k = -4*q. Is 32 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/17 + 482*n**3\/17 - 480*n**2\/17 = 0.\nAnswer: 0, 1, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l = 7 - 7 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + -0.5. Let g = -73 - -61.5. Let i = d - g. Which is bigger: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118929 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -176*g**4 - 4*g**3\/3 + 3*g**2 - 5*g - 1. Is p(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 0*j - 5*j + 1535, 5*n + j = 2551. Suppose 20*f - n = 15*f. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from eeiekietihehhkeekkt?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -36*p + 12. Let c be x(2). Let r be (-8)\/5*15\/c*10. Let o be ((-4)\/228)\/(r\/(-24)). What is the second biggest value in o, 1\/6, 2\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8375)\/(-335))\/(10\/8).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -h - 14, h + 10 = 3*q - 0*h. Suppose -2*w = -3*i + 15, -3*i = -q*w - 4*i - 3. List the prime factors of ((-422)\/6 - -4)*w.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155*r**4 + 7451*r**3 + r**2 - 99*r - 3927?\nAnswer: -3720*r + 44706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(256))\/(1*sqrt(32)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*6\/(-12)*9\/18.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/((-9*4\/162)\/((-24)\/(-54)))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 5:39 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7297, -7290, -7269, -7228, -7161, -7062, -6925, -6744?\nAnswer: -6513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60016319 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318 by 22883.\nAnswer: 318\/22883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9632466 or -9632461?\nAnswer: -9632466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -438 + -82. Suppose 72 = -2*z + 5*z. What are the prime factors of (-1)\/(-3) - u\/z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -39, 5, -18, -708 in increasing order.\nAnswer: -708, -39, -18, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**4\/8 - f**3\/3 - 9*f**2. Suppose -3*g = -4*g + 2. Let t be w(g). Solve -4*y + 4*c - 8 = 0, 0 = t*c + c + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 921 - 919. Solve 14 = 4*u - d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1040 and 10805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2335 + 4730 + 3*v - 2331 - 6*v. Give i(24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + -73 + (12 - -26).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8488332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1 + 1*sqrt(343) + sqrt(343)*2 + 0)**2 + -1*3*(0 + sqrt(343) - sqrt(343))).\nAnswer: -84*sqrt(7) + 6176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -303321 (base 6) to base 3\nAnswer: -1020001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**4\/6 + 24*r. Let c(v) = 5*v - 1. Calculate n(c(g)).\nAnswer: 50*g**2 - 20*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46\/7 + 361\/56. Let u = 0.3 + -0.4. Let t = -1\/1023 - -2053\/7161. What is the closest to u in -2, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4424 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a**5\/19 + 1034*a**4\/19 + 19834*a**3\/19 + 10486*a**2\/19 - 19824*a\/19 - 11520\/19 = 0. What is a?\nAnswer: -16, -1, -3\/5, 1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by 257.\nAnswer: -83\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 55 = 16. Solve 5*c = -4*p + t, -c + 7 = p + 4*c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + -2*sqrt(192)))**2 + 3.\nAnswer: -32*sqrt(3) + 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226797 divided by -6.\nAnswer: 75599\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32373*j**2\/4 + 971187*j\/8 - 45\/8.\nAnswer: 3*(j + 15)*(21582*j - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -a35 (base 11) to base 14\nAnswer: -652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/8 + (-10)\/40. Suppose -i + 4 = -y. Let d = i - 6. Which is smaller: 2\/19 or d?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15975.44 to the nearest one hundred.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12 - 13*t**4 - 14*t - 59*t**4 - 18213*t**5 - 22*t + 7*t + 18216*t**5 wrt t.\nAnswer: 60*t**3 - 864*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-1 + 2*sqrt(12)*-2)\/(sqrt(384) + sqrt(384) + 4*-1*sqrt(384)).\nAnswer: 7*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-4) - 1)*-2. Let l be o\/(-6)*(0 + 0). Suppose 4*m = -l*v + 5*v + 17, 3*m - 6 = -3*v. Solve -m*d - 2*d = 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-11 + (14 - (23 - 12)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 140\/(-16)*(-4008)\/5980 - 6 and -41\/104.\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 11*m + 11. Suppose 2 = -2*p + 3*c, 12 + 0 = 3*p + 3*c. Suppose -p*d + 2*v + 28 = 0, -d - 6 = -0*d + 4*v. Give h(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, -6, -1, 16, 51, 110?\n\"Answer: z**3 - 3*z**2 + z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + 3 + 6 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51.6 - -50.6. What is the nearest to c in -1, -0.05, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322777563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 499946 or 500026?\nAnswer: 500026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -z - 3*z + 8*z as b + u*z and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16 + 0.2. Let n = 52.04 + -51. Let y = m - n. Which is the closest to 1? (a) -0.3 (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - k + 6. Let v be r(0). Let y be (-1 + -1)\/(-2 - v). Factor 0*t + 0*t**2 + 0 - y*t**5 + 1\/2*t**4 - 1\/4*t**3.\nAnswer: -t**3*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7906.9999989413 + -7907. Round m to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 12*i. Suppose -4*d + 5*m + 96 = 0, -d - m + 96 = 3*d. Suppose -3*u + u = d. Let r be l(u). Solve 3*k - 1 - 11 = r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15588 + -15586. What is the fourth smallest value in 0.648, y, 2\/5, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 12. Let f be q(8). Let a = 11 - f. Suppose -r - a = -y, -7 = 5*y + r - 66. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 29*y**2 - 33. Let k(f) = 253*f + 2. Determine k(l(h)).\nAnswer: 7337*h**2 - 8347","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36296 and 1516.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*p*x + 2*a**3 + 24*a**2*p*x - 2*a*p*x - 2*a*p + 9*x wrt a?\nAnswer: -6*a*p*x + 12*a + 48*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5 + 654*w**4 + 51368*w**3 - 417120*w**2 - 11946688*w - 21824352 = 0. Calculate w.\nAnswer: -166, -11, -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3323963784 + 1.3324. Round p to seven dps.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 191280222*g - 120951600 wrt g.\nAnswer: 191280222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -798263, -1596528, -2394783, -3193022, -3991239, -4789428, -5587583?\nAnswer: -6385698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 172 = -7*g + 2*g, l = 1. Let d = 65 - g. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.4 + -5.5. What is the nearest to s in 1, 13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15208227 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffnfnnnfffnffnfnff. What is prob of picking 4 f?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 11794.7.\nAnswer: -11799.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + 0 + -1 + -3 + (sqrt(153) - (sqrt(153) + 2))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 1703*r**4\/12 + 2015*r**3\/6 - 2*r**2 - 872. Differentiate t(d) with respect to d.\nAnswer: 3406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17 - -21)\/(0 - -1). Let p(l) be the second derivative of 0 + q*l + 1\/20*l**4 + 3\/5*l**3 + 27\/10*l**2. What is c in p(c) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -7*w**6\/120 - w**5\/15 + w**4\/24 + 3*w**3\/2 - 84*w**2 - 1. Does 20 divide s(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 14. Let w be ((-3)\/(-4))\/(g\/(-1056)). List the prime factors of -1 - 3 - (w - -1).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 34. Let g(f) = 2*f**2 - 3*f. Let o be g(2). Solve o*l - 4 = -a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from satasatststsaaataa?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 4) to base 3\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m - 5. Let s be b(4). Suppose -3*d = -9, 3*x + 0*d = -s*d + 9. Suppose -u + 5*u - 64 = x. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6*o + 3 - 16)*(2 - 3 - 1).\nAnswer: 12*o + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 2*f. Let h be r(3). Let t(i) = -14*i**2 + 2*i - 3. Let p(b) = 17*b**2 - 3*b + 4. Let o(z) = 5*p(z) + 6*t(z). Determine o(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2190?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 14*n + 32. Let x be u(-11). Let h(s) = -s**2 + 2*s + 3. Let l be h(-2). Sort -2, l, x in increasing order.\nAnswer: l, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millisecond in microseconds?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -947, -7225, -24313, -57617, -112543, -194497, -308885, -461113?\nAnswer: -656587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*i - i + 429, -411 = -5*c + 3*i. Calculate the remainder when c is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -40*t. Let p(y) be the third derivative of -y**5\/15 + 59*y**2. Determine v(p(w)).\nAnswer: 160*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1579 divided by 36526\nAnswer: 1579\/36526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17380 divided by -4\nAnswer: -4345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 13.2348754?\nAnswer: -13.6348754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*g - 7, -18*a - g = -17*a - 7. Solve 0 = -u - a*y + 5, 0 = -u - u + 5*y - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**4\/24 - 1352*r**2. Let y(z) = -1757*z**2. What is y(p(f))?\nAnswer: -1757*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.466 + 5.453. Let q = -18 - h. What is q rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -978914, -1957838, -2936762?\n\"Answer: -978924*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4)*(-72)\/27. Does 3 divide (-9)\/(-18)*(-32)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 123.02ml?\nAnswer: 0.12302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 2491 = 12445. List the prime factors of g.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3439 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -3, -4, 0.1539, 1, 1\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -515, -895, -1259, -1601, -1915, -2195, -2435, -2629?\n\"Answer: w**3 + 2*w**2 - 393*w - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976684?\nAnswer: 2, 17, 53, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j*j**(-2\/23))\/((j**(-2\/41)\/j)\/j))\/((j\/(j*j*j**0*j*j)*j)\/((j*j**(-1\/25))\/j)) assuming j is positive.\nAnswer: j**(186757\/23575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 2. Let k(g) = 0 + 31*g - 30*g + 13. Let n be k(-11). Solve 2*y + n*y + o = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3912590 is divided by 3912586?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*z**2 + 38*z**4 + 2*z**2 - 34*z**4 + 20*z**3 + 4*z**2 - 4*z**5.\nAnswer: -4*z**2*(z - 3)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**2 - 20*t + 6. Let m(y) = -7*y**2 + 23*y - 5. Determine 4*m(f) + 5*q(f).\nAnswer: 2*f**2 - 8*f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 650451 divided by 1.\nAnswer: 650451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/9 and (-70)\/4*(-21)\/(-45).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c*c**(-2\/5)\/c)))\/(c**(-1\/4)\/c))\/((c*c**4)\/c**5) assuming c is positive.\nAnswer: c**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 110, 202, 292, 380, 466, 550?\n\"Answer: -c**2 + 95*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdq when three letters picked without replacement from {g: 2, q: 1, d: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -23*l - 77. Calculate the remainder when 131 is divided by n(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -1002102002002?\nAnswer: -1002102002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -20. Suppose -2*d = q*g + 6, -2*d = -4*d + 2*g + 6. Factor 1\/7*j**2 + d*j + 0.\nAnswer: j**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47773807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -43. Suppose z*k = 9*k - 20. Solve -2*a + 3*a - k = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6555 times 1.59?\nAnswer: 10422.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2781*u - 113987. What is a(-41)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 13) in base 11?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-40)\/63)*(-6517)\/(-3724).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -3584, 4, 9 in descending order.\nAnswer: 9, 4, -35, -3584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.4. Let a = -646 - 306. Let x = a - -952.2. Put 0.4, x, c in decreasing order.\nAnswer: 0.4, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 5 = -3*p + 6, 9 = 2*p + 3*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 328 and -374959760.4.\nAnswer: -374959432.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -552.075*93\nAnswer: -51342.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903*d + 3177*d + 3943 = -34715 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-8 - -16) - -8 - 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (720\/4480)\/(3\/7). Which is the second biggest value? (a) -71 (b) z (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 3, 4 in decreasing order.\nAnswer: 4, 3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + 5 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 438990*z**3 + 1685*z - 24 wrt z?\nAnswer: 2633940*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919129 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -521784 times -3\nAnswer: 1565352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 546*x + 298141. Determine t(-546).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58469, -233901, -526259, -935507, -1461609?\nAnswer: -2104529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13964*o + 13977*o - 4*u + 123 = 0, o + 5*u = -36 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25200370?\nAnswer: 2, 5, 13, 149, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/(((-14)\/(-24))\/7). Suppose u = s - 8. Put u, 1\/3, -7 in ascending order.\nAnswer: -7, u, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/30)\/((-228)\/93100*-5).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = -0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 360900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477.\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/40 and 101\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*x**4 - 3*x**3 + 1911*x**2 - 2*x + 16463340 wrt x.\nAnswer: -28*x**3 - 9*x**2 + 3822*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6, 13 = 2*s - s + 3*j. Suppose 3 = s*u - 5. Is u\/(-3)*1092\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2789800 and 31200?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10457024 a multiple of 872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10\/7 + 1\/7*u**3 + 17\/7*u - 8\/7*u**2 = 0 for u.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i. Let p(z) = 0 - z + 44 + 3 - 22. What is p(h(x))?\nAnswer: -2*x + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 242573?\nAnswer: 242576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18048565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -525\/8? (a) -3 (b) 3 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0321 less than 1?\nAnswer: 0.9679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144427\/10 - 72196\/5. Factor 11*z + 1\/4*z**3 + 10 + f*z**2.\nAnswer: (z + 2)**2*(z + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.13 - 0.81. Let i = y - -112.68. Let a = i - 114.00000051. What is a rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 3*q + 6. Let g(t) = t + 19. Let i be g(-9). Let a be b(i). Suppose 2*f - 174 = a. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*(-3)\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 14*v - 15*v - q, -5*v = -q - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76*1.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from lllnfnnlbfbflfbff.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26957773?\nAnswer: 26957773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k**2 + 91*k - 173. Let n be o(16). Which is the second biggest value? (a) n (b) 1.6 (c) 2\/9 (d) -1\/6 (e) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 68, 75, 76, 65, 36, -17?\n\"Answer: -q**3 + 3*q**2 + 5*q + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 8, 2, 5 in increasing order.\nAnswer: 2, 5, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(117) - sqrt(117)*4) + sqrt(117) + 2*sqrt(117)*-3)\/(2*(sqrt(504)\/sqrt(8))\/sqrt(7)*4))**2.\nAnswer: 3757\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 + -63. Suppose z = y - 2*q, 0*q - 34 = -y + 5*q. What is the first derivative of 22 - 9*k + 22*k**3 + 0*k + y*k wrt k?\nAnswer: 66*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-21))\/(((-5)\/(-35))\/((-135)\/189)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*48\/64.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*u = 77941, 2*k - 7*k = u - 77948. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2. Let w(d) = -15*d**2 - 4. What is w(r(f))?\nAnswer: -135*f**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 28*q + 1251. Let v be z(24). Which is the closest to 10? (a) v (b) 2 (c) 3\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 67. What is the lowest common multiple of 1 and ((-99)\/(-3) + g)*(-16)\/(-5)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9\/(d*d*d*d*d\/d**(-9)*d))**30\/(d\/d**0*d\/d**(8\/5))**(2\/9) assuming d is positive.\nAnswer: d**(-8104\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 13*s**2 + 40*s + 3. Let v be j(5). Let c be 2\/4 + (-6)\/(-4). Find the third derivative of -6*b**v - 2*b**c + 0*b**3 + 13*b**3 wrt b.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (24\/28)\/((-1)\/(-7))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49023\/149 + -329. Which is bigger: t or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -6498*u**2\/11 - 456*u\/11 - 8\/11 = 0.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1045.11 + -1045. Which is the third smallest value? (a) -1 (b) -0.1 (c) -5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 8:26 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3\/2 - 57377035*r**2 + 114754065*r\/2.\nAnswer: 5*r*(r - 22950813)*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6753 + -5691. Calculate the remainder when q is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 8*b + b)*((3 + 2 - 6)*(3*b + 6*b - 4*b) - 10*b - 8*b + 5*b) to i*b**2 + l*b + g and give i.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8542536 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.07, -3, 0.17, 243?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15743\/10 + -1574. Let o(x) be the second derivative of -5*x - 3\/25*x**5 + 0 + q*x**2 + 1\/50*x**6 - 2\/5*x**3 + 3\/10*x**4. Solve o(t) = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + 213*f**2 - 320*f + 412. What is z(-108)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 261297 by -3.\nAnswer: -87099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*g = 4, -3*x + 3*g = -8*x + 37. Solve 0*y = x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -11*v + 2. Suppose z - 1 = 2*o, -2*o - 4 = o - 2*z. Let h be y(o). Let r be (-3)\/15*h\/8. Is r smaller than -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -73 + (-132)\/(-66)*3*4\/6. Let q(v) = -v**3 - 2*v**2 + 3*v + 3. Let k be q(-3). Does 4 divide (-1 + -1)\/(k\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21317, -42726, -64131, -85532, -106929, -128322, -149711?\n\"Answer: 2*i**2 - 21415*i + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**3 + 3*o. Let z(j) = 28*j + 1367. Let u be z(-49). Let r(a) = 6*a**3 + 5*a + 1. Give u*m(v) + 3*r(v).\nAnswer: 3*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, n: 10, j: 3}. Give prob of sequence nn.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191 + 2*p - 191 + 20*p**2 wrt p?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2 + 8895*k + 7. Give c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 451 = 3*y, 2*q + 2 + 0 = 0. Let d = -104 + y. Calculate the highest common divisor of 30 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmm when three letters picked without replacement from mmt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (7\/(56\/(-16)) - -4). Sort -699, -1\/2, k.\nAnswer: -699, k, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 114. Let l be o(23). Calculate the highest common divisor of 315 and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 4*y + 4. Give v(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9002 minus -12?\nAnswer: 9014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*u = -729*u - 571*u + 215*u + 67155 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4*i\/i**2)\/(i**(-6)\/i**(2\/21)) assuming i is positive.\nAnswer: i**(191\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 7:08 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44125, -44714, -45295, -45868, -46433?\n\"Answer: 4*q**2 - 601*q - 43528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.4, 0, -18, 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 14 - 2*k - 15 + k + 2*k. Let u(o) = 151*o**2 + 2*o. Let y(w) = 3*m(w) + u(w). What is the hundreds digit of y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**5 - 193476*f**4 + 773380*f**3 + 22248852*f**2 - 46043960*f + 23215200 = 0 for f.\nAnswer: -10, 1, 12, 48365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11946993.65 and -3?\nAnswer: 11946996.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 7 = -4*l, 3*m - 6 = -4*l + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 51\/6 + 6\/(-4). Let j(d) = -5*d**2 - q*d + d**2 + 3*d**2. List the prime factors of j(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34924 is divided by 1937?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 18 = 3*n, 149*v = 147*v - n - 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 5564?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 160164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1\/70, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-6 + 3 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364950 is divided by 229?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**6\/60 - z**5\/6 - 7*z**4\/12 - z**3 - 7*z**2. Factor u(o).\nAnswer: -2*(o + 1)**2*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z**3 - 32844*z**2 - 78776*z - 26256 = 0 for z.\nAnswer: -3282, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*r - 7. Let b = 22 + -23. Let j(x) = 2*x**2 + 7*x - 6. Let h(u) = -u**2 - u. Let l(z) = b*h(z) - j(z). What is l(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-332)\/5146)\/((-6)\/93)*(-2)\/((-8)\/(-52))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1174, 9389, 31740, 75313, 147194, 254469?\n\"Answer: 1181*r**3 - 18*r**2 + 2*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a - 194 = -2*r, 3*a = -5*r - 104. Let l be (-2)\/7 - a*(-6)\/(-14). Suppose -h = -3*n + 221 + l, 0 = 4*n + h - 323. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 13*p + f + 15, 3*f + 9 = 0. Let t(o) = -o - 4. Give t(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - -2*sqrt(190))*-6)\/sqrt(10)*-6 + -4)**2 + (sqrt(95)\/(sqrt(5) + sqrt(10)\/sqrt(2))*4 + (sqrt(931) - (-1 + sqrt(931)*-1)))**2.\nAnswer: -832*sqrt(19) + 226497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 3\/5 (c) -1\/234\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 6) to base 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 b when three letters picked without replacement from {i: 6, b: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(1\/5)*q)\/(q**(-2\/17)\/q))\/(((q\/q**6)\/q)\/(q**(2\/7)*q)))**(-34))**(-4\/27) assuming q is positive.\nAnswer: q**(45712\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 56?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194265659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22642*x**4 + x**3 + 12*x**2 + 12162792*x?\nAnswer: 271704*x**2 + 6*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/20 and -5 - 1\/((-20)\/305)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/4 - 39*w**2\/2 + 147*w\/4 - 18.\nAnswer: 3*(w - 24)*(w - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2795 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a. Let h(n) = -7*n**2 - 65*n + 4. Give p(h(v)).\nAnswer: 7*v**2 + 65*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 3, -5*u - 251 = -2*v - 274 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/((-1)\/(6\/(-4))). Let b be 3\/((-27)\/(-63)) + -5. What is the third derivative of 4*f**b + x - 27 - 8*f**3 - 21 wrt f?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3911.9994358 + -3912. What is q rounded to six decimal places?\nAnswer: -0.000564","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*c - 15. Let j be 0 - 1\/(-7)*4. Which is smaller: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(1085\/(-126))*360\/(-81)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 0.4 (b) -5 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5 - 34*n**4 - 2*n**3 + 68*n**2 + n - 34 = 0. Calculate n.\nAnswer: -1, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = -2*v, 0*v - 4*v = -3*r + 4. Let h(u) = u**2 + u - 33. Let z be h(-7). Let f be -1*4 + z + 1\/(-1). Sort 3, -7, f, v.\nAnswer: -7, v, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*x - 8 = 15, 3*b = -x - 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, f: 2}. What is prob of picking 3 i and 1 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -428083623595 minus -10.67?\nAnswer: -428083623584.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2130 + 2129.9. Let p be -2 - (16\/(-7) + 0). Which is the nearest to d? (a) 8 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hihfahfhehieffpfhfhh. Give prob of picking 1 p, 1 a, 1 f, and 1 i.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54097 + 28\/343*7*(12 - 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1799.5 - 1797.5. What is the closest to -3 in g, 2\/17, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 9\/2*g**2 - 6*g + 241 + 12*g**3 + 21\/4*g**4. Factor b(m).\nAnswer: 3*(m + 1)**2*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(125)) - (sqrt(180)*2 + sqrt(180) + -2 + sqrt(5)))**2.\nAnswer: -784*sqrt(5) + 12069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126477361?\nAnswer: 126477361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 x, 1 c, and 1 p when four letters picked without replacement from {p: 3, v: 2, e: 1, x: 1, j: 2, c: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**2 + 18*w - 249. Let j be m(6). Solve 0 = 26*g - j*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckkcllcllccljjjlclc. Give prob of picking 2 l and 1 j.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b - 17200 + 15842. Calculate the remainder when 681 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 10) to base 16\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 46, 98 in ascending order.\nAnswer: 7, 46, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -436 - -429. Is n\/((-49)\/42) - -1399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32b37 + -1b?\nAnswer: 32b19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/7))**(-34)\/(c**(-1)\/c*c**(-6\/7))*c*c**7*(((c*c**(1\/6))\/c)\/c*c)\/c*c**0\/c**(1\/7) assuming c is positive.\nAnswer: c**(-605\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -26 + 16 - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -163082*l**2. Let j(f) = 85*f. What is h(j(c))?\nAnswer: -1178267450*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -671167, -671169, -671181, -671209, -671259?\n\"Answer: -s**3 + s**2 + 2*s - 671169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f + 0 + 13*f + 0.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107*z**4 - 11233*z**2 - 3*z - 1076473.\nAnswer: 1284*z**2 - 22466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 4. Let t be b(7). Suppose -1205 = -4*h - 5*u - 130, h + t*u = 260. Suppose 5*f - h - 130 = 0. Calculate the highest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -5*u + 15. Let b = 12 + -55. Let g = b + 63. Solve 4*y - g = u*s, s - 20 = -6*y + 2*y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -2\/3 (c) 2\/11 (d) 4\/3 (e) 1\/2 (f) -2\/475\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -159 + (399 - 228) + -1 + 2 + 14?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2. Let b(a) = -2*a**2 - 33. Let v(z) = b(z) - 4*o(z). Let n(d) be the first derivative of -2*d**3\/3 + 518. Determine n(v(h)).\nAnswer: -8*h**4 + 264*h**2 - 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from wjywyjjyoojy.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 550886 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 12*v**2 - 3*v**2 + 16*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = -s + 12, v - 8 = -s. Suppose 3*l + 6*b - b - 45 = 0, 5*b = -v*l + 65. Calculate the remainder when 98 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.1 - 3. Let k = 23644 - 23595. Put 5, k, o in increasing order.\nAnswer: o, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*n, 5*n = 4*d + n - 20. Solve 4*x = d + 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 - 2*r + 1. Let u(v) = v**2 - v - 4. Suppose q = 2*q. Let a be u(q). Is n(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, h: 9}. What is prob of sequence ff?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -1. Let v be (42\/12 - (t - 2))*-2. Which is the nearest to 1\/3? (a) v (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 24*u - 47*u + 2284310. What are the prime factors of u?\nAnswer: 32633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f = -6. Let r(q) = 9*q + 72. Let a be r(6). Suppose y - a = -f*y. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 9*a = -2*k - 4, 0 = -k + 4*a - 17. Let j = 4 + -7\/2. What is the nearest to k in -3, j, 2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 22*m + 82. Let n be d(-24). Find the first derivative of n + 72 - 59*x**2 + 35*x**2 + 18 - 68*x**2 wrt x.\nAnswer: -184*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-18)*f**(-1\/53) assuming f is positive.\nAnswer: f**(-955\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10 + (-171)\/60 + 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 104\/48 - (-2)\/(-12). Suppose 0 = -5*l + g + 227, -96 = -p*l + 2*g - 2. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 - -93. What is the remainder when 160 is divided by m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from whwhww.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489430171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20865.615 months in decades?\nAnswer: 173.880125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -4)*(3 - 2). Let h(j) = -j**3 + 4*j**2 - 4*j + 3. Let g be h(o). Let i = 3 - g. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*m + 7169*m**2 - 32*m + 86*m - 7157*m**2.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377 = -46*x + 55 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6882289?\nAnswer: 6882289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 685216 and 243922.\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120573 and 33?\nAnswer: 1326303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98325306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -2*l**5\/5 + 92*l**4 + 7*l**3\/3 - 3170*l**2 + 3579. Find the second derivative of r(h) wrt h.\nAnswer: -24*h**2 + 2208*h + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 7*n - 3. Let u be z(8). Suppose 4*h - u = 3. Find the second derivative of 0*v - 2*v - 2*v**h + 0*v**2 wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 238, 11, 4\/7, 4, -416?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 189*z**2 + 388*z + 3. What are the prime factors of n(-5)?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.016 - -4.584. Let f = p + 1.6. Let z = f - 7. What is z rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/60 and -69\/200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6762 and 9384?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1699*b - 1685*b = 69650. What is the highest common factor of 25 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 182*y - 3276. Calculate l(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 15 = 3*i - 4, 2*r + 3 = i. Let c be -2 - (-10 + (-12)\/r). Suppose 2*l + 5*v = 74, -c*l + 148 = -l - 5*v. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 206 + -819\/4. Let i = -7273 - -29335\/4. Let m = -61 + i. Which is the closest to m? (a) -0.5 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(-3 + sqrt(2)).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - -17. Find the common denominator of -31\/9 and 13\/o - (-1538)\/(-240).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 11. Calculate the remainder when 11 is divided by h(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -17*j**2 + 56*j - 106. Determine o(2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 - 32*r**2 + 7.\nAnswer: -32*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15980, 15954, 15928, 15902, 15876?\nAnswer: 15850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111 and 4005.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21169?\nAnswer: 21169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 - x**3 + 0*x**3 + (-x + 3*x - 4*x)*(0*x - 2*x + x)*(10*x - 9*x + 9*x) to the form n + l*x**2 + v*x**3 + b*x and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/42 and -71\/663168.\nAnswer: 4642176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -14. Let n be -3*1*(p - 3). Let d(r) = -8*r - 6 + 3 + n*r. Give d(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17170, 68639, 154420, 274513, 428918?\n\"Answer: 17156*f**2 + f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -32. Which is the nearest to v? (a) -4 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19\/11, -0.2, 0.164, 5\/2?\nAnswer: -19\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970272 is divided by 1030.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2477, 4943, 7407, 9869, 12329, 14787, 17243?\n\"Answer: -v**2 + 2469*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 3*r - 5*o + 93, 0 = 5*r + 2*o - 26 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12868823 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16\/3761 or -1?\nAnswer: -16\/3761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1312471.1028 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3179 or -3243?\nAnswer: -3243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (71 - 25) + -37 + (0 - -9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*c + 26 = c, 5*c - 34 = 4*t. Let z = 1 + t. Let d(b) = -b. Let k(n) = n**2 + 12*n + 6. Let u(h) = 6*d(h) + k(h). Give u(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/7 and 1 + 3 + ((-48)\/(-32) - (-7109)\/(-1284)).\nAnswer: 8988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 1. Let k(r) = 5*r + 42. Let m(f) = -2*k(f) - 4*z(f). Let l(c) = -c. Calculate m(l(o)).\nAnswer: 2*o - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 109769531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64.6 + -67. Let m = -93 - -95.16. Let v = m + i. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*k + 12*k = -5687 - 2057 for k.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 589.6189 milligrams in nanograms?\nAnswer: 589618900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 7:20 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.037436 micrograms?\nAnswer: 0.000006037436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212128278?\nAnswer: 2, 3, 17, 1013, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 (base 4) in base 7?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 5*y**2\/2 - 52*y + 128. Let d be w(11). Solve -6 + 9 = -d*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 164 from -257.54.\nAnswer: -421.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 9. Let x(d) = -d**2 + 8*d - 10. Let m be x(6). Suppose -v + 3*v - g = 67, 0 = -m*v - y*g + 63. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7023342?\nAnswer: 2, 3, 67, 17471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2541843*c**4 + c**2 + 178553*c wrt c.\nAnswer: -61004232*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, g: 2}. What is prob of picking 1 g and 2 m?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -66, 124, 0, -2\/17 in decreasing order.\nAnswer: 124, 0, -2\/17, -4, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*j - q, -4*j = -2*j + 2*q - 6. Let z = 12 - -5. Suppose -h + z = j. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vovoo. Give prob of sequence oov.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/379746 and 35\/12?\nAnswer: 759492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552 not equal to 2552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)\/(5\/(-5)). Suppose t = -u - 0 + 9. Calculate the remainder when 35 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 5:08 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -ac481?\nAnswer: -ac481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 5. Let h be -1*45 + m + -7. Let l = 185\/4 + h. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 200549?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97821 is divided by 160?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4*-1)\/((-46)\/115). Solve 4*r + q = -n, -27*r = -29*r - 3*n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) - (sqrt(162) + 0)) + -1)*-3*-1*-3)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 30452 and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1056)\/(-144)*(-18)\/12\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 17*g**2. Let t(o) = -18*o - 17. Let c(y) = -y - 1. Let h(b) = 102*c(b) - 6*t(b). Determine h(x(m)).\nAnswer: 102*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2145607803.\nAnswer: 3, 238400867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 57 = -2*s, -2*s + 2*y + 7 = -15. Let n = -17 + s. Let t be 20\/5*n\/6. What is the nearest to t in -4, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j = 180. Suppose -5*r + j - 11 = 0. Calculate the remainder when r is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 60 = 5*l, 0*l + 42 = 3*g - 3*l. Let k = g - 10. Suppose d = -v + 1, v = 4*d - k*v - 12. Solve 0 = -d*j + 3 - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 13*d. Let p be o(-1). Let b = -15 - p. Sort 2, b, -5 in decreasing order.\nAnswer: 2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 7:15 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*n - 39 - 237, 0 = -4*w - 2*n + 368. Suppose 7*x = -w + 155. Solve 8*o = -o - x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -14a9?\nAnswer: 14a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 72\/90 - (390\/(-425))\/(-1). Let s = -88 + 794\/9. Let a = -6.7 + 6. What is the nearest to -1 in c, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 7 - 2)*(0*c**2 - 6*c**2 - c**2) - 2*c**2 + c**2 + 3*c**2 + (-2 - c + 2)*(-c + c - c) + c + c**2 - c in the form g*c**2 + v*c + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**4 - s**3\/6 - 2*s**2 - 27*s. Let q = 1 - 2. What are the prime factors of c(q)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*r**2 - 62*r**2 - 5*r**2 - 29*r**2 to w*r + i*r**2 + k and give i.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(162) - sqrt(162)*1))*-5 + -3)**2 - ((-1*sqrt(154) + sqrt(154))\/sqrt(7))\/(sqrt(11) - sqrt(77)\/(sqrt(7)*-3)).\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14596315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(384) + sqrt(384) + sqrt(60)\/(sqrt(40)\/sqrt(4)))\/(sqrt(18)\/(sqrt(1089)*-1 + sqrt(1089) + sqrt(1089))).\nAnswer: 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0 (b) -5 (c) -97 (d) -6 (e) -126 (f) -21 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 29*a - 27 = 0. Suppose 0 = -a*p - 2*u + 7, 5*p + 2*u = 13. Solve -2*o - 2*m = -0*o + 6, -p*o + 3*m - 15 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 550295.9 microseconds?\nAnswer: 550.2959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-520)\/65)\/(3*2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491950041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 795971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -135630\/13 in -1\/5, 2, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -455748 divided by 6.\nAnswer: -75958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 1:12 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*d - 15*d + 7056. What is the greatest common divisor of d and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 12) to base 6\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-515)\/(-103))\/((-2)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(72 - 236 - 493)*(-c + c - c)*(-c + 6*c - 3*c).\nAnswer: 3942*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(18) + sqrt(18) + (sqrt(648)*2 - sqrt(648) - sqrt(18)))\/(-1*sqrt(6)*2))**2 - ((sqrt(3) - (sqrt(3) + 4)) + 0 + (sqrt(3) - sqrt(27))*3)**2).\nAnswer: -333\/4 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**2 - 4*b - b + 0*b + 10*b**3 - 9*b**2 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6243 + 6306. Calculate the highest common divisor of t and 234.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q + 103 = -7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 7, -4, 3.\nAnswer: -4, -3, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 15.4, -0.4 in decreasing order.\nAnswer: 15.4, -1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*d - 0 - 5, -5 = 4*d + 5*m. Let s be 4\/2 - d\/(-5). Suppose -r = s, 0*h + 3*h - 4*r = 17. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 2*c + 3. Let w be (3\/(-9))\/(10\/(-450)). Let u(v) = 8*v - w*v + 8*v. What is -g(k) - 2*u(k)?\nAnswer: 2*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*u + 4*c + 60, 4*c + 20 = 0. Let s(d) = 15*d - 16. What are the prime factors of s(u)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 3:19 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15\/23, 3, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-12)*(-3)\/(-2). Let y be (q\/(-4) + 0)*0. Suppose y = -5*j - w + 143, 5*j + 4*w = 74 + 63. What is the remainder when j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/53644839 and 28\/6630261.\nAnswer: 590093229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*1\/(2\/34). Let q = -13 - b. Calculate the remainder when 9 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**8\/1848 - p**7\/1155 + 37*p**6\/330 - 57*p**5\/55 + 189*p**4\/44 - 9*p**3 + 6*p**2 + 37. Let d(c) = 0. What is c?\nAnswer: -11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 5 (c) 2\/2797 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/20)\/((-1)\/(-4)). Let i = 15 - f. Suppose 2*s - 2*l - 3*l + 17 = 0, -4*l = -s - i. Solve -s*j - 15 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 2*p + 12, -7303*m = -7305*m + 5*p + 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 1249 = 178. Suppose 0 = -p*w + 53*w + 6. Let y be -26*w\/(-12)*(2 - 8). What is the highest common factor of y and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3496*n - 7*n**3 + 3497*n - 6993*n.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-594)\/90*5 + (-2 + -5 - -1)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/1980 and 107\/4825656.\nAnswer: 24128280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 987815 and 15?\nAnswer: 2963445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-5))\/(10 - 13). Sort r, -2\/13, 0, -5 in decreasing order.\nAnswer: r, 0, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -789917767 + 2*x**2 + 789917771 + 2*x**2.\nAnswer: 4*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - -55 - -2 - 12) + 0 + (0 - 9).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(160)*1)\/sqrt(8) - sqrt(20))*-1)\/(-3*sqrt(160)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37293065*b*o**2 - 19673*b + 323*o wrt o.\nAnswer: 74586130*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 478 = 3*d, 94 = 2*v + 4*d - 134. What are the prime factors of v?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 73*d - 1062. Calculate g(44).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2643465 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 231257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -261 (base 16) to base 11\nAnswer: -504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00995125242 rounded to 5 decimal places?\nAnswer: -0.00995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13411510 (base 6) to base 12\nAnswer: 199b96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3636612?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(81))**2 - sqrt(490)\/sqrt(2).\nAnswer: -7*sqrt(5) + 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2392*v**4 + 4582494*v - 4582494*v + (0*v**3 - v**3 - v**3)*(-3*v + 4*v - 2*v) - 3*v + 3*v - v**4 - 4*v**4 + 0*v**4 + 2*v**4.\nAnswer: 2391*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 16b?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (4 - 1) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 890.8567 minutes?\nAnswer: 53451402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 31. Let s = f - -72. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxuxxxxuxxx.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875 = 67*b + 129 + 135 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 100?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 274*u**2 - 9*u - 11195?\nAnswer: 548*u - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-105) + 12\/42.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 920 + 5*f**2 + 1828 + 4*f**2 - 5*f**2 - 740 as x + w*f + l*f**2 and give x.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - -0.14. Let y = 0.3 + t. Let v = 2.09 + -0.09. Which is the closest to -1? (a) -1\/4 (b) v (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7*i + 3*s + 19 = 0, i - 5*s - 24 = 0. What is the closest to 1 in i, -2, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*v)*(17*v**3 - 54*v**3 - 63*v**3) + 4*v**4 - 2*v**4 - v**4 to l*v**3 + h*v + m + p*v**4 + c*v**2 and give p.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132973 is divided by 5103.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 0.4 (b) -14.3 (c) -5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wyyoweyyvwvgeoyyvvw. Give prob of sequence eovo.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3823482t?\nAnswer: 382348200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t = 33*t + 40*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8271 - 8275. Let d = -35 + 3. Let b = d - -23. What is the nearest to b in -3\/2, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**3\/3 - 2. Let c(g) be the first derivative of -5*g**3 + 3*g**3 + 0*g**3 + 1. What is z(c(h))?\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = -29540*x + 59081*x - 29543*x for x.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/1538 and 51\/274?\nAnswer: 210706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57864033 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 v, and 1 p when four letters picked without replacement from bvpppjpppvbvbpbppj?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**5\/15 + d**2. Let s = -39 + 73. Let w(l) = -s*l**2 - 38*l**2 - 34*l**2 + 109*l**2. Give z(w(q)).\nAnswer: -36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 19*i**2 - 36*i + 680. Is v(17) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d - 23. Calculate t(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1860 and 10788?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -0.1, -0.07, -5\/2 in ascending order.\nAnswer: -5\/2, -3\/5, -0.1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 312*b**4 - 386*b**3 - 799. Find the third derivative of m(g) wrt g.\nAnswer: 7488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*x**3 - 5*x**2 - 1887*x - 34860.\nAnswer: -15*x**2 - 10*x - 1887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 2*h - h)*(-180*h + 358*h + 238*h).\nAnswer: 416*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r + 25*r + 9*r + r - 22*r.\nAnswer: 33*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 11*k**2 - 15*k + 37. Determine h(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5857200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -39\/7, 1\/3, -1, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 451 and 26917.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3651020.\nAnswer: 2, 5, 23, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 584339 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6870 and 592194.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2*(1\/1)\/(-1) + (-56 - -54 - 26)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 5:15 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9317415.999966 + -9317392. Let w = r + -24. What is w rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 0)*(-57)\/38. Calculate the smallest common multiple of (-2)\/1 + (19 - n) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46514471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28700624 or -200904366\/7?\nAnswer: -28700624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 30*i**2 + 1044*i - 698. What is x(-34)?\nAnswer: -1514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 3 in descending order.\nAnswer: 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 745 + -321. Let d = h - 235. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z - 7. What is the hundreds digit of o(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0 = 5. What are the prime factors of 120\/10 - l\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -9*w**3 + w**2. Let r(i) = -3*i**3 + 3*i**2 - i. Let p be (-11 - -10)\/((-1)\/1). Let z be r(p). Calculate n(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1450291 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262751273 to the nearest integer?\nAnswer: 16210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + 0 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/7 + 4\/(-14). Let l = u - 1\/14. Let y be -1 - -2 - (-4 + 5). What is the closest to 0.2 in -5, l, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j + 15*j + 3*j**2 - 8*j in the form x + g*j**2 + v*j and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11001075 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32707 (base 8) to base 10.\nAnswer: -13767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 101978, 102233, 102662, 103265, 104042?\n\"Answer: 87*r**2 - 6*r + 101897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34770, -140392, -316876, -564228, -882454, -1271560, -1731552?\n\"Answer: -b**3 - 35425*b**2 + 660*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j - j**2 + j)*(-12344 - 19332 + 27022)*(4 + 3 - 6) as n*j + z*j**2 + m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpjzz. Give prob of sequence zj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 2\/7, 45\/7, 0.5?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 5*f + 8. Let z be u(-7). Suppose 5*t + 23 - z = w, 2*t + 2*w - 30 = 0. Suppose 2*a - t = 26. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217717 (base 9) to base 4\nAnswer: -133310221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/3, 3\/4, -54?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 609 + -350. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000023418 rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*v**4 + 16*v**4 - 3*v**4 + 2*v**4 - 4*v**4 + 3*v**4 + (-v**3 - 2*v**4 + v**3)*(-2 + 0 + 1) to i*v + n*v**3 + r*v**2 + x*v**4 + y and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*120\/28)\/((384\/(-84))\/(-16))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3\/3 + 3*u**2 + 4*u - 1. What is the units digit of t(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 7*c**2 + 11*c + 96. What is u(10)?\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/1675, 5, 30 in decreasing order.\nAnswer: 30, 5, -4\/1675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/30)\/((-22)\/1100)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32 + 56346?\nAnswer: 56314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + (-45)\/(-4))*4. Let p be d\/5 - (-21)\/(-35). Solve 5*o - p*t - 5 = -t, -2 = -2*o + 4*t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b + 2*b - 573153 - 574205 + 1147358.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -8. Suppose -a + 6*a - 13 = 3*o, -5*o - 34 = 4*a. What is the lowest common multiple of q and (9\/3)\/((-3)\/o)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3063 - 963 = -100*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2502*u - 3939*u + 1358*u - 86411 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -5*f**3 + 13*f**2 - 30. Let n be z(1). Which is the biggest value? (a) n (b) 0 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12337 divided by 5?\nAnswer: 12337\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6980 divided by 6980.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + -3 + 1256\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7 = -5*g, -3*x - 3 = -4*x + g. Suppose 0 = 24*s - 22*s + x*y - 130, -2*y + 194 = 3*s. What is the remainder when 123 is divided by s?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-98)*448\/(-128) + 52\/(-42). Which is the nearest to 1\/2? (a) 24 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y\/y**(-1\/2)*y)\/y)\/((y*y\/(y\/((y**(-1\/5)\/y*y*y)\/y)*y)*y)\/y))\/(y**(-1\/4))**15*(y*y**(-2\/5))**38*y**4\/y**(-2\/7) assuming y is positive.\nAnswer: y**(967\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 347.1 + -347. Suppose -4*z + 5*b - 38 = 0, 5*z = -0*b + b - 37. Sort 2\/11, z, x.\nAnswer: z, x, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 22*x**2 + 55*x + 6. What is c(-5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) 0.2 (c) 1\/35 (d) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642007 is divided by 1340?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714930 to the power of 1\/2, to the nearest integer?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - -11. Let y = 1 + -8. Let w = y + n. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p + 4 - 2*p**2 - 12*p - 1. Let z be ((-2)\/(-3))\/(2 + (-35)\/21). What is l(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -661 + 663. Let z(j) = -26 + 20*j**a + 8*j**2 + 34 - 9. Let h(n) = 3*n**2. Give h(z(k)).\nAnswer: 2352*k**4 - 168*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 9 - (0 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/75*2*12\/(-40)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4629189 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*a**3 + 172*a**3 + 11 - 5 + 3 + 2 - 13.\nAnswer: 244*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/264 and -47\/240?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -123646?\nAnswer: -24729.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 12 = 5*v, 4*y + 13 = -5*v + 2. Let f(u) = -2*u**2 - u + 2. Determine f(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 12, -6, -16, 1\/6, -0.2, 3, -1\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -255 + 403. Let a = -144 + l. Solve -5*i = -a*n - 21, -5*i + 4 = 4*n + 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13492, 52765, 117820, 208657, 325276, 467677?\nAnswer: 635860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/12*(-8)\/2. Suppose 4*q + 2 = -q - 4*i, q + i = 0. Which is greater: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2ec64 - -26?\nAnswer: 2ec8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.01325149 - -0.019716\nAnswer: 0.00646451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmzzhmhhzhkzmmw. What is prob of picking 1 z and 1 m?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + -21 - (-15 - (-2 + -3))) + -1 + 2\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 8*n - 3. Let f be z(-9). Suppose -f = -0*x - 3*x. Find l such that 16\/3*l + 0 + 28\/3*l**3 + x*l**4 + 40\/3*l**2 = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 526 - 520. Solve -3*b + p = m, 4*b + 5 + 3 = -p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4 = -0*n - 4*f, 4*n + 14 = -5*f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5119, -10182, -15245?\nAnswer: -20308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21573.24cm in meters?\nAnswer: 215.7324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 1445.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2 + 28*z - 5. What is k(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47491462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1120, -3, -20856, -5 in ascending order.\nAnswer: -20856, -1120, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 404591\nAnswer: 9\/404591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 21*i**2 - 18*i + 32. What is w(-20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 + 444*s**2 + 4*s**3 + 4040 - 445*s**2 - 3*s**3.\nAnswer: s**3 - s**2 + 4040","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**4\/j)\/(j**(-2\/23)\/j))\/(j**(-2\/27)\/((j\/(j**8*j)*j*j)\/j)) assuming j is positive.\nAnswer: j**(-1142\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p - 9745 = 8427. What is the highest common factor of p and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1675 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 64*r - 105. Let z be u(2). What is the greatest common divisor of z and 4301?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824*i + 623 = -2222*i - 93803 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.29 - -0.29. Let m = 0.2 + -0.6. Let d(p) = -p**2 - 4*p - 1. Let l be d(-4). What is the nearest to l in m, 1\/2, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86.5721 + -87.2. What is p rounded to 2 dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6384688?\nAnswer: 2, 399043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2187492977 to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -886, -900, -936, -1006, -1122, -1296?\nAnswer: -1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 22*r**2 - 780*r + 84. What is h(-41)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -205*t**3 + 4 - 4 + 22*t**2 - 11*t**3 - 96*t**3 + 3*t wrt t?\nAnswer: -1872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3408 divided by -24\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -322.1 times -5\nAnswer: 1610.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31471583 to the power of 1\/2, to the nearest integer?\nAnswer: 5610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120279820 divided by -5?\nAnswer: -424055964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/64)\/((-6)\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2. Let f(y) be the first derivative of 77*y**2\/2 - 122. Give z(f(g)).\nAnswer: -5929*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/456 and 25\/75468.\nAnswer: 150936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + -3 - -3 - -2*1. Let x(j) = -15*j - 4. Let t be x(h). Let k(y) = 38*y**3 + 1. Let f be k(1). Calculate the highest common divisor of t and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20101331 + 31233?\nAnswer: 20133230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**3 + 5*m**2 - 16*m + 4. Let q = 13136 + -13138. Let g(j) = -2*j**3 - 2*j**2 + 8*j - 2. Calculate q*n(r) - 5*g(r).\nAnswer: 2*r**3 - 8*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0.13. Let f = 4.87 + z. Let j = -4 - -8. Which is the nearest to -1? (a) -1 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*l, 2*l = 2*j - 0*l - 8. Solve 3*k - j*k + 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - 83. Let k(l) = -l + 12. Let g(r) = -r + 4. Let x(s) = 7*g(s) - 2*k(s). Let u(o) = 5 + 1 - 6*o - 1. Calculate j*x(f) + 6*u(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*j - 136 - 1 = 0, -39 = -c - 2*j. Let l = c + -34. Round l to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 32*b - 16*b + 10*b + 2 to o + s*b and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15736 divided by 2\nAnswer: -7868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvjvvjvjvvjvvjvvv. What is prob of picking 3 j and 1 v?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i + 13. Let s be l(11). Suppose -y = -2*y + s. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c = -3*k + 9, -2*k + 3*c = -6. Let o(g) = -345*g - 9 + 173*g + 176*g. Let m be o(3). Solve 0*v + m*v = -d - 10, k*d - v = 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148844 divided by 4?\nAnswer: -37211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/1218 and 85\/3654.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 0. Suppose 1 = 2*b + 5*w - 5, -4*w + l = b. Suppose -7*a + 4*a = -21. What is the remainder when a is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20)\/20)\/1)\/((25\/155)\/5).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/52712 and -117\/184492.\nAnswer: 368984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (8 - 4) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 426, 414, 402?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 52, 75, 114, 175, 264, 387, 550?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**6\/540 + g**5\/180 + g**3\/3 + 6*g**2. Let r(i) be the first derivative of z(i). Factor r(y).\nAnswer: -2*y*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24211 - -21?\nAnswer: 24232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -1315?\nAnswer: 2630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21697.049 + 21697. Is b >= 0.016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/5)*a*a*a\/a**(-3\/4)*a*a**(4\/9)\/((a\/((a\/(a**(-1\/15)\/a))\/a))\/a) assuming a is positive.\nAnswer: a**(1019\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llpltllcc. What is prob of sequence cl?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - -16. Let m = h - -13. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -55. Let f(x) = -11*x + 8*x + g - 2. Let v(t) = -8*t. Give v(f(c)).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 40\/5 - (-1300)\/65?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.83 plus -0.125?\nAnswer: 9.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15518, -30218, -44928, -59654, -74402, -89178, -103988?\n\"Answer: -y**3 + y**2 - 14696*y - 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/8)\/x)\/x**6)\/((x\/(x*x*x**(-2\/19)))\/((x\/x**(-1\/3))\/x*x*x)))\/((x**(-1\/6)*x**8)\/(x**(3\/7)*x\/x**1)) assuming x is positive.\nAnswer: x**(-11759\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -3, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -577821*d + 38. Let p be b(1). Let n = p - -2782783. Round n to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5, -1, 2 in descending order.\nAnswer: 2, -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 2)*(0*g + 4*g - 3*g) + 22 + 15*g + 23 - 14*g + (0 - 3 + 2)*(0*g - 2*g - 6*g) as f + h*g and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*k**3 - 39*k**2 + 57*k**3 + 61*k**3.\nAnswer: -5*k**3 - 39*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1245241, 2490178, 3735115, 4980052, 6224989, 7469926?\nAnswer: 8714863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3139 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) 4 (b) 3\/74 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*o - 350721 = -379*o - 409218 for o.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -84751\/3 (b) -0.5 (c) 2\/3 (d) 1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2. Let y(k) = 8321975*k**2 - 127080*k. Let t(c) = 1768*c**2 - 27*c. Let g(a) = 14120*t(a) - 3*y(a). Calculate g(l(z)).\nAnswer: -1765*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -58. Suppose 12 = 2*s + j*s. Solve q + 2 - 4 = -5*t, -3*t = -s*q + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -558, -600, -654, -726, -822, -948?\n\"Answer: -g**3 - 35*g - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52206816 and 3806747.\nAnswer: 365447712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 506863 and 4054911\/8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + a + 1. Suppose -9*l + i + 7 = -12*l, 2*l - 18 = 5*i. Let b(j) = 4*j**2 + j + 2. Determine l*b(z) + 3*d(z).\nAnswer: -7*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(260))\/(sqrt(10) + (sqrt(90)\/sqrt(144) - sqrt(10))))\/(6*(sqrt(8) + sqrt(48)\/(sqrt(6) + sqrt(96)))).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 773472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, p: 1, k: 1, f: 3, a: 1}. What is prob of picking 1 w and 1 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 0*r + 4 + 20\/3*r**3 + 5\/4*r**4 + 0*r**2. Find the third derivative of v(m) wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*y + 2*h + 25, -11*y + 9*y + 3*h - 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 34, -0.2, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 4*d + 4. Let j be v(4). Suppose -5*n - 4*m = -6747, 0*m = 4*n - j*m - 5412. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4185 = 11*n - 7*n, 5*n - 5226 = 2*z. Calculate the greatest common divisor of n and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 1. Let h be -5*15\/(-25) - 0\/(-1). Let n be x(h). Let r be 1 - 2 - 119\/(-102). Which is the second biggest value? (a) n (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95.7 + -96. Let y = 3 - 7. Let r = y - -1. Which is the second biggest value? (a) 0.5 (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -5)*77\/(-22). Let t(x) = 1 - 4*x + x - 9 + 1. Calculate the remainder when t(v) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6*y**(-2))**(-12) assuming y is positive.\nAnswer: y**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 2*k**2 - 12*k - 18. Calculate the remainder when x(-5) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 40 = -5*z, -c - c - 46 = -4*z. What is the smallest value in 5, 0.06, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1752191 and 13\/1428?\nAnswer: 357446964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(36)\/(sqrt(72)\/sqrt(6)) - (5*(sqrt(27)\/sqrt(9))**2 - sqrt(3))).\nAnswer: -15 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2. Let x(c) = -c - 1827. Calculate o(x(i)).\nAnswer: 3*i**2 + 10962*i + 10013787","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(27\/24) - -3. Let n = 5.1 + -6.1. Which is the second biggest value? (a) q (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*n - 280*p = -278*p + 626, -3*n + 22 = -4*p for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*g - 33 - 120, 0 = -g - 3*q + 22. Let s(o) = -34*o - 3024. What is the smallest common multiple of g and s(-89)?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*u + 5*d - 11, -12 = -3*d. Suppose 0 = 2*s + 6, -u*s - 2 = -t + 21. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -12. Let f(k) = k**2 - 10*k + 2. Let z be f(h). What is the units digit of 4\/(-2) + 2 - z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -72*h**2 + 6*h - 373. Let x(y) = 2*y**2 + 2*y - 2. Let c(w) = -p(w) + 5*x(w). Differentiate c(m) with respect to m.\nAnswer: 164*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14897.\nAnswer: 14897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 6*b = 7. Suppose -b - 23 = -5*a. Suppose -c + 2*l - 2 = 0, 0 = 5*c - l - a - 2. Solve 3*p + 18 = -3*h, -3*p + 2*h - c + 9 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -23933130?\nAnswer: 4\/11966565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 11. Suppose p - y*p = -96. Suppose 6 = 2*k - p. Solve x = -5*s - k, -39 = 5*x + 5*s - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24, -36, -34, -12, 36?\n\"Answer: r**3 + r**2 - 22*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(120)\/sqrt(2) + sqrt(60))\/sqrt(10))\/((-1*sqrt(3300))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, -5, -1 in descending order.\nAnswer: 12, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62127, -124259, -186393, -248529, -310667, -372807, -434949?\nAnswer: -497093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42475, 42398, 42317, 42232, 42143?\n\"Answer: -2*t**2 - 71*t + 42548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -23*x**2 + 6978*x - 43660. Determine s(297).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1440 (base 6) to base 5.\nAnswer: -3014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87392 + -87396. Let k be (-1)\/(0 - 25\/2). Which is the nearest to 2? (a) -1\/2 (b) k (c) i (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*b**4\/7 - 5676924*b**3\/7 - 384556384*b**2\/7 - 6464777136*b\/7 + 1640317760\/7 = 0. What is b?\nAnswer: -354740, -34, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -177329\/66 at least as big as -2686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/660)\/((-13)\/65).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2945 or -2661?\nAnswer: -2945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 16. Let a(l) = 10*l + 10*l - s - 14*l. Let v be a(7). Solve 2*x = 3*f - v, 9 = -2*x + f - 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -3) + -18 - -23.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - -0.9. Let d = -0.03 - 0.37. Which is the nearest to v? (a) d (b) -4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 5*q**8\/48 - q**5\/6 + 13*q**2. Find the third derivative of s(x) wrt x.\nAnswer: 2100*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3993, 3, 15, 4, 2, 5 in descending order.\nAnswer: 15, 5, 4, 3, 2, -3993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 2. Let x be i(0). Suppose 20 = 4*q, x*y + 0*q = -5*q + 37. Solve 3 = -3*k + y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402425 (base 6) to base 8.\nAnswer: 75721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5323 is divided by 1769?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2150 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3*471\/(-2). Let q = j - -268. Suppose 0 = m - 2*b - 43, q = 2*m + 4*b - 3*b. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -0.3 (b) -4 (c) 2\/5 (d) 3\/2 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/30 - 5*i**2. Let v = -160 + 165. Let o(p) = v*p + p - 3*p + 5*p. Give o(q(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 7:47 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 48 - 38 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(187)*1)\/((2*sqrt(132))\/sqrt(12)) + sqrt(272)*-1 + ((3*sqrt(51))\/sqrt(3) - sqrt(17)) + -3.\nAnswer: -3 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-118080)\/(-2050)*(-40)\/(-72)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*s**5 + s**4 + 460*s**3 - 123977*s**2.\nAnswer: -960*s**2 + 24*s + 2760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/((-3528)\/1344).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4, 0 = -3*u - 7*o + 3*o - 67. Let n(p) = p + 65. Let r be n(u). List the prime factors of (r + 6)*(-14)\/(-4).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2219737 - 47557 = 82*g. What is the highest common factor of 60 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 740 divided by -20.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - -3 - (81 - 71)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z**3 - 2*z**2 - 24*z**4 + 40*z**4 - 17*z**4 - 2 in the form x*z**2 + v + h*z + o*z**4 + m*z**3 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73290 and 434595?\nAnswer: 303347310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*w**5 - 88*w**2 + w + 1913?\nAnswer: 180*w**3 - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/((-37668)\/146))\/(4\/114*-1)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 9*w - 10. Determine q(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 - 11. Let a = -70.85 + d. Let n = -2.15645 + a. Round n to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -45 + 6 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 23 (c) 12 (d) -2\/5 (e) -10\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2410 and 41405?\nAnswer: -99786050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12862*v - h = 12859*v + 2, -2*h + 29 = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 147465, 148373, 149889, 152013, 154745, 158085, 162033?\n\"Answer: 304*p**2 - 4*p + 147165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 7*a - 13. Suppose -m - 3 = 2*b, -20 - 4 = 3*m + b. Let n be s(m). Sort n, 4, 2.\nAnswer: 2, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5 - 4. Let o be ((-2)\/j)\/(1\/9). Let m be o\/((-5)\/((-10)\/4)). Which is the closest to -0.2? (a) m (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**5 - 2655*j**4 - 26905*j**3 - 78285*j**2 - 86500*j - 32460 = 0. What is j?\nAnswer: -6, -2, -1, 541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 21*w = 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42, 168, 380, 678?\n\"Answer: 43*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**2 + 7*j**2 - 36*j**2 + 9*j**2 + 11*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 44*b - 1. Calculate t(-2).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*u - 4 + 17 + 2*u**2 - 2 + 39 with respect to u.\nAnswer: 4*u - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*k**3\/9 + 46130*k**2\/9 - 1817168*k\/3 + 600608 = 0 for k.\nAnswer: 1, 1644\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81.1 + 81. What is the closest to -2\/23 in -0.4, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z**6*z)\/z*z)\/z*z)\/z*z**10*(z\/z**(-4\/5))**(-31))**(1\/19) assuming z is positive.\nAnswer: z**(-194\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 8) + -10 + 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0.1 (b) -2\/9 (c) -2\/21 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.38, -2.3, -6\/11, -1\/5 in decreasing order.\nAnswer: 0.38, -1\/5, -6\/11, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780002089?\nAnswer: 487, 1601647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 2 - 2)*(-28203 - 58853 - 38222 - 17974 - 24541 - 31063) as g + a*x and give a.\nAnswer: -397712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, -4, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 18*t - 2. Calculate q(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3762464 (base 10) to base 7.\nAnswer: -43660166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 26*b - 3 = -3*v, 2*b - v = -1. Suppose b = -6*w + 280 + 1514. What is the highest common factor of w and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*n. Suppose 0*s - s + 13 = n. Suppose 0*a = -a + s. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 24 = -5*j, -4*h = -9*j + 5*j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*15\/(-324))\/((-107)\/((-121552)\/355)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 5 + -45 + 39 + 4 + 90.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002143 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(0 - (-12)\/(-9)). Let g(x) = -x**2 + 12*x + 2. Let m be g(12). Solve -4 = -a*l + m*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-one halves of a microgram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 39457 = 89783. Does 60 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*l - 4*g = 64*l - 29*l + 53, 3*g = 25*l - 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/(-8))\/(-9))\/((-9)\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-85))\/(-2*(-5)\/20)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 2. Is x(5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) + 88\/(-20). Let c(z) = -z**2 + 4*z + 14. Let t be c(6). Let q(a) = -3*a - 4 + t - 2 - a. Determine q(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20 - 31*v**4 - 4*v + 2*v**2 + 173 + 293*v**4 - 4*v**2 wrt v?\nAnswer: 6288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704803 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 401378 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*k + 3*j, -k - j = k - 11. Sort 3, -5, k.\nAnswer: -5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 0.0015 (c) -193 (d) 130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -31040 (base 5) to base 11\nAnswer: -1577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 72646475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 197 * -0.04594\nAnswer: -9.05018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 13809573*x.\nAnswer: x*(x - 13809573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (5 - 10) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*sqrt(3645))\/(-5*sqrt(81)).\nAnswer: -9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-35) - -37*(-2)\/(-42).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3, -3*o + 4*v + 9 = -2*o. Let p(w) = 2*w**2 - w - 2. Let q be p(2). Let n = q - o. Which is the closest to n? (a) -0.5 (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.2 - -5. Let m be (1 - 4)*8\/(-6). Let a(j) = j + 3. Let u be a(-3). What is the nearest to u in g, m, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13405043422 - -5?\nAnswer: 13405043431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48467, -2, 0.2, -5, -3 in decreasing order.\nAnswer: 48467, 0.2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 295\/8 - 37. What is the second biggest value in 1\/3, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2315456189 to the nearest integer?\nAnswer: 48119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2288 is divided by 458?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/21791, 1, 0.02 in decreasing order.\nAnswer: 1, 0.02, 6\/21791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-4)\/6)\/(24\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000252476792 rounded to 6 dps?\nAnswer: 0.000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 0.031, 2 in ascending order.\nAnswer: 0.031, 3\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(20\/1)*(-840)\/((-7455)\/(-71)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 16 = 4*p, 0 - 17 = -5*b - 3*p. What is the closest to 1 in -0.4, -5, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 times -1227?\nAnswer: 143559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 12:36 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 994 - -94. Let z = n + -231. Suppose 5*u = l + 995, -4*l - 260 + z = 3*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -2.716 (b) 3\/7 (c) 53 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1f8d6 (base 16) to base 8\nAnswer: -374326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*k - 290, 2*t = -4*k - 46 + 216. Let w = t - 17. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29323 and 3717.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102 + 101. Let r(n) = -49 + 49 - 12*n**2 - n. What is r(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, u: 2, f: 3}. What is prob of sequence uv?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-5))\/(3\/9*-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*i = -15, 2*h + 5*i + 135 = 144 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwz when three letters picked without replacement from {z: 6, w: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 172148, 172242, 172336, 172430?\n\"Answer: 94*l + 172054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - n - 6248 = -4*n, 0 = -4*n + 4. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14 - 204\/(-21). Let k be ((-18)\/15)\/((-4)\/j). Suppose -k*f - 3 = -0*f. What is the nearest to f in 0.1, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/100)\/(51\/((-1275)\/(-4)))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 5*p = 417. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 4*q + 10. Let t be h(5). Suppose 0 = -t*u - 0 + 5. Which is the nearest to 1? (a) u (b) 0.03 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 0*j + 7\/24*j**4 + 0 - 9*j**2 - 1\/10*j**5 + 0*j**3. What is the second derivative of y(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*q = -326, -128 = -2*u + 4*u - 2*q. Let k = -4\/147595 + 2509243\/4723040. Find the common denominator of k and 39\/u*5 + 0.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 211381597 to the nearest 100000.\nAnswer: 211400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1440) + (sqrt(1440) - (sqrt(1440) + -2*sqrt(1440))*1))*1)\/(sqrt(512)*1 - (2*sqrt(48))\/sqrt(6)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 1377 = -17*f. Calculate the remainder when f is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.99 - -0.01. Let m = 0.5 - k. Which is the smallest value? (a) -3 (b) m (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*p + 6*p + 23*p + 15*p as m + l*p and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-432)\/210)\/(-6))\/((576\/(-1080))\/(2\/(-1))).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 85, 75, 65, 55, 45?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33911.0035 rounded to the nearest 100?\nAnswer: 33900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Let h = 151\/3 - 199\/4. Let b = h + -1\/3. What is the second smallest value in -1\/5, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 2. Let u(a) = -19*a**2 + 4*a - 10. Let z(o) = 6*n(o) - u(o). Let g(r) = 6*r**2 - 2*r - 1. What is 7*g(f) - 3*z(f)?\nAnswer: 3*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1296 + 61 + 2*y**2 + 64)*(-4 + 3 + 3) to the form t + o*y**2 + p*y and give t.\nAnswer: 2842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 8*h - 5*h = -13, -5*c - h = -1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*1*3*(sqrt(275) - ((-1*2*sqrt(275) + sqrt(275))**2 - sqrt(275)) - -2*sqrt(275)*-2) + -4.\nAnswer: -2477 - 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 3. What is the tens digit of u(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (73239*2)\/(51\/34) - -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -50 + h**2 + 47 + 0*h**2 - h. Let j be k(-5). Calculate the greatest common divisor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70.4 + 70.76. Which is the third biggest value? (a) w (b) 4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 1894\nAnswer: -947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/35 and 52\/45525.\nAnswer: 318675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 - 345*x**4\/4 - 43*x**3\/2.\nAnswer: -x**3*(x + 86)*(4*x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -17*m**6\/30 + m**5\/20 + m**4\/4 + 3*m**3 + 63*m. Find the third derivative of s(k) wrt k.\nAnswer: -408*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 4:17 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*b = 20, -p - 3*b - 4 - 3 = 0. Let d be (p - -12) + -1 + 0. Calculate the greatest common divisor of 65 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8674 times -30?\nAnswer: 260220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, y: 2, k: 3, d: 2, x: 4}. What is prob of picking 1 y and 2 d?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -32*n**2. Let s(f) = 121*f**2. Calculate w(s(g)).\nAnswer: -468512*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*g**4 + 448137*g**3\/4 - 765015*g**2\/4 + 161619*g\/4 + 155475\/4 = 0. Calculate g.\nAnswer: -1\/3, 1, 25\/24, 2073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 22481.\nAnswer: 22483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 939\/(-626)*((-12)\/(-18) - 0\/2)*89.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**3 - 3*a**3 + 0*a**3 + (-4*a + 4*a + a**2)*(4*a - 4 + 4) + 167*a**2 - 18*a**3 - 167*a**2 + (2*a**2 - a**2 - 2*a**2)*(-3*a + 5*a + 0*a).\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010960 is divided by 88?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2604 + 2603.9. Which is the third biggest value? (a) u (b) -1074 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 - 41 + 11*r)*(2*r - 3 + 3) + 2*r**2 + 4*r - 4*r to the form t*r + b + l*r**2 and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, k: 4, p: 1, q: 1, h: 5}. Give prob of sequence hqkr.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z - 5*n, -5*z + 5*n + 68 - 58 = 0. What is the third derivative of 7*x**6 - 3*x**6 + 0*x**6 + 3*x**6 + 50*x**4 - 6*x**6 - 260*x**z wrt x?\nAnswer: 120*x**3 + 1200*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u - 6*u - 16*u)*(0 + u + 0) as m*u**2 + o + r*u and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 = -13*k + 307. Which is smaller: 67 or k?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 17 = 4*z + 22*f, -3*f = 2*z + 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -1391.70149?\nAnswer: -27.8340298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5145061.\nAnswer: 5145061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from lllnhlhqhnllhl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 10 = 0, -251*g + j - 10 = -256*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*c + 171*c + 15*c**2.\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -869928 divided by -1082?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2589.0971955 + -2642.09721. Let i = 53 + g. Round i to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 23*o**2 - 74*o. Let x be s(-4). Let t(u) = -u - 2. Let b be t(-3). Put x, b, 2, 0 in decreasing order.\nAnswer: 2, b, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - k**2 + k. Let x be u(-2). Suppose -3 = z, -x*j - 4*z = -37 - 379. Let q = j + -97. What is the highest common factor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2658105.642 + 2673416. Let m = -15298 + j. Let r = m - 12.5. Round r to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1147313050129*y**2\/3 - 40702826*y + 1083.\nAnswer: (1071127*y - 57)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*v + 3*m, 4*m - 29 = 4*v + 7. Let i(d) = 6*d**2 - 10*d - 19. Is i(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000225403 rounded to seven decimal places?\nAnswer: 0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 3*z**3 - 2*z**3)*(115 - 3*z - 87 - 143).\nAnswer: 6*z**4 + 230*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 45423807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220123 + 1030?\nAnswer: 221203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2579, 5152, 7725, 10298, 12871, 15444?\n\"Answer: 2573*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725 greater than or equal to 640016\/371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000266060832 to seven dps.\nAnswer: 0.0002661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*g + 95 = 0, -5*g + 5067 - 5442 = -18*s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10422514 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41488472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5\/5 - 2*a**4\/5 + 14*a**3\/5 - 8*a**2\/5 - 13*a\/5 + 2 = 0. Calculate a.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -23*i + 685. Let j be q(30). Put -4, j, -547 in increasing order.\nAnswer: -547, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-1 - 20 - 4)*(7*x - 4*x - 11*x).\nAnswer: -400*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 1 + 1\/3*k**3 - 5*k + 0*k**2. Is 4 a factor of y(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18830*m**3 - 7726*m**2 + 7726*m**2.\nAnswer: 18830*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -231 - -235. Let d(j) = 3*j - 24. Let s be d(10). Solve 3*u = -3*g + s, -z*u + 13 = 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 7:13 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 3*z + z)*(-3 - 1 + 1) + (3 - 1 - 1)*(-5*z - 5*z + 5*z) + (0 - 4 + 2)*(-3*z + 4*z - 2*z) - 38 + 38 + 6*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eheheeehehe. Give prob of picking 2 h.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-73)\/(-42) - 9*(-7)\/(-42). Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 887519.7 to the nearest one thousand.\nAnswer: 888000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 498 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + -1 + 195)\/(207\/138)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -62530 and -4.8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 119070766 or 952566135\/8?\nAnswer: 952566135\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/99 and 32\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40343072.\nAnswer: 2, 7, 11, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 5*l - 9. Let s be t(-6). Let x be (-1 + -1)*(s - -1). Suppose -x*n + 432 = 2*n. Calculate the greatest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 227*1 + 9 + (-3 - 6). Let g = s + -223. Solve 0*z + 2*c - 4 = -g*z, 5 = -z - 2*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 6397 divided by -6397.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(6\/4)*1. Let a(p) = -p + p**2 + 2*p**2 + 4*p**h - 6*p**2 + 1. Let w be a(2). Solve -4*j = -x + 3 - 0, -3*j - 6 = w*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(1539)*-4)**2 - 5*(5 + -1*sqrt(1539)).\nAnswer: 45*sqrt(19) + 221594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 343?\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -1449 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9581 = -3*h + 4*p + 12199, -p = -3. Suppose 7*w - 4237 - h = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 <= -0.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.32 - -0.02. Let s = 43.2 + -43. Let i = l + s. Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 4:44 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 14*g**4 + 6*g**3 + 351*g**2 - 4. Let s(h) = 56*h**4 + 23*h**3 + 1404*h**2 - 17. Let r(d) = 17*j(d) - 4*s(d). Find the third derivative of r(v) wrt v.\nAnswer: 336*v + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -16, -248, -1\/2 in ascending order.\nAnswer: -248, -16, -5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138351 (base 14) to base 4.\nAnswer: 2210331203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37534*v**5 + 12*v**3 - 7156*v**2 + 3*v - 2.\nAnswer: 2252040*v**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/3 - 80*m**4\/3 - 481*m**3 - 5620*m**2\/3 - 4256*m\/3 = 0. Calculate m.\nAnswer: -56, -19, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29\/5, -1\/3, -2\/9, 14015.\nAnswer: -29\/5, -1\/3, -2\/9, 14015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**2 + 6. Let p(f) = f**2 - 2. Let t = 228 + -231. Let h(x) = t*p(x) - v(x). Let u(r) = -21*r**2 + 3. Determine u(h(y)).\nAnswer: -84*y**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78130 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l + 12 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 2*q - 1. Let p be z(2). Let v be p\/((1*-2)\/4). Suppose -5*j - 18 = v*w, -5*w = -w - 5*j - 24. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 11*g**2 + g + 23. Let u be c(-11). Solve 6*z = -0 + u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-189 + 50 - -195)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -936 + 1845 + 12*g - 930 + 5*g + 32*g as q*g + c and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -619603\nAnswer: 8\/619603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1325 - -5534. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4\/15 - 4*y**3\/15 + 8*y**2\/15 + 16*y\/15 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 46767843.\nAnswer: -4\/46767843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-189)\/108).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 37211 = -3*x + 8*w, -5*x = 3*w - 62057. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 19229?\nAnswer: 1\/19229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9900352)\/(-7175))\/196)\/((-4)\/(-10)).\nAnswer: 88\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 353222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 - 6*q - 3. Let w be i(2). Put 84, w, -2 in increasing order.\nAnswer: -2, w, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40170 and 12272.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*n + 2, 2*n + 3*n - 2*d = 29. Solve 3*z - 4*h = -17, -16*h - 23 = -n*z - 20*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305740.\nAnswer: 2, 5, 15287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -145.3736 to 0 dps.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j - 5. Let t(y) = y. Let n(u) = -6 - 4 + 3 - 2. Let k(m) = -n(m) - 4*t(m). Determine -4*k(x) - 7*w(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*18\/4 + -1)\/((35 - -440)\/(-95))?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*x**4 + 1690*x**3 - 57917 wrt x?\nAnswer: 60*x**3 + 5070*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*v = -34, 14*o = 19*o + 3*v - 56. Suppose y = m + 99, y - 103 = -3*m - 0. What is the highest common factor of y and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6*(3 + (-54)\/(-4)). What is the tens digit of 11\/g + 1551\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 14 = 4*l, -3*l - 3*k + k = 5. Let a = 25 - l. Calculate the greatest common divisor of 35 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 9.46, -4, -2, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 906421727 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from chbbhc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 2*x + 4. Suppose -4*u + 2*a + 8 + 12 = 0, 31 = 5*u - 4*a. Let m be u\/(9\/(-2)) - 53\/(-3). Let s = -13 + m. What is i(s)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 512510\nAnswer: -1\/102502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83151204147.000000555 - 83151203929. Let a = w - 218. What is a rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 3*a - 12 - 14, -109 = 62*r - 5*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*r**2*t**5 + 7*r**2*t - 3*r**2 - 230*r*t**3 - 1544*r*t**2 wrt t?\nAnswer: 2940*r**2*t**2 - 1380*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6960)\/(-144) - 49)*((-3)\/856)\/(9\/36)?\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3149*l**3 + 1049*l**3 + 43 + 1047*l**3 + 1052*l**3 + 28*l**2 - 54*l. Calculate g(26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192328805 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -5, -11 in ascending order.\nAnswer: -11, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-3 - 2) + 3 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -6\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36098, -72260, -108458, -144698, -180986?\nAnswer: -217328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q**2 + 2*q - 1. Let u(g) = -7*g**2 + 2*g - 1. What is -6*m(x) + 7*u(x)?\nAnswer: -x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*y - 7. Suppose 0 = -y*r + 12*r. Suppose 0*v = 5*v. Solve v*u + 4*u = r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*l - 24 = 212*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*74\/(-81585)*-45.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 931 + -882. Suppose 8*t = u*t. Solve 27*n - 24*n - 3 = t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*m**3 + 3*m**2 - m + 9 wrt m?\nAnswer: -66*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*(0 + -5 + (sqrt(180) + -3)*2))**2.\nAnswer: -336*sqrt(5) + 916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -8 + 6. Let p = -1 + 4. Solve p*l = -q*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3481129516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m - 5*m - 12*m**2 - 16 - 8*m**3 + 9*m**3 + 0*m. Let g be y(13). Sort g, 2, -12, 1.\nAnswer: -12, g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -126\/22728737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19214 - -19217.3. What is the nearest to -4\/11 in -2\/19, v, 2\/11?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 11 = -h, c + 8 = 5*h + 2*c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37290?\nAnswer: 2, 3, 5, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1134230 and -37\/10208070?\nAnswer: 10208070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/t**(3\/8))\/t)\/t**4 assuming t is positive.\nAnswer: t**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 57*i**2 - 27*i + 28. What are the prime factors of w(5)?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/sqrt(396) + sqrt(132)\/(sqrt(24)\/sqrt(4)))\/(sqrt(288) - ((sqrt(288)*2 - sqrt(288))*-4 + sqrt(288)) - sqrt(288) - 2*sqrt(288)*5).\nAnswer: -sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -108 + 741*z + 49 + 63 + 579*z in the form v*z + c and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 13*p**2 + 3*p + 1. Let o be 1 + (-3)\/3 + 1. Suppose -4*m + o = -11. Is d(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.6 + 4.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = 2*c - 14, -c - 5*i - 15 = 0. Suppose 517 = 3*h - c*d, 7*h + d = 8*h - 175. What is the remainder when h is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 612.76, 115\/3 in decreasing order.\nAnswer: 612.76, 115\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 21 - (3 - 24)) + 1 + -2 + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110010111010110110000 (base 2) in base 7?\nAnswer: 151325045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -3*b**2\/2 - 12*b - 1. Let l(n) = -19*n + 51. Let o be l(3). Calculate the remainder when 21 is divided by d(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-eight thirds of a century in months?\nAnswer: 27200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9, 112, 569, 1572, 3331, 6056?\n\"Answer: 35*f**3 - 42*f**2 + 2*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 7 = -2*f, 56*f - 55*f - 5 = 4*m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 4\/(-1) + 1072\/1088. Which is the closest to 1? (a) -2 (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/4, 5, 0, 232, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 4. Let b(y) be the third derivative of -y**4\/8 + y**3\/6 - y**2. Let v be b(1). Let s(m) = 2*m - 5*m + 7 - 20. Give v*s(r) + 7*g(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*3\/6*-23. Let f = 27 + c. Solve -4*i + m - 14 = 0, -3*i - 5 = -f*i - 4*m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4 + 2*n**3 - 4*n**2 = 0. Calculate n.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 506\/533 - 14\/533. Suppose -16 = -10*o + 14. Suppose -h*t + 18\/13*t**4 - 2\/13 - 16\/13*t**2 + 12\/13*t**o = 0. What is t?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 0*n**6 - 4*n**7 + 0*n**4 + 0*n**2 + 0*n**5 - 15 + 0*n - 17\/3*n**3. What is the third derivative of o(p) wrt p?\nAnswer: -3360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1763, 3440, 5117?\nAnswer: 6794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.3 (c) 6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 6. Let x(g) = 20*g**2 - g. What is the remainder when 1\/(0 + (-4)\/(-140)) is divided by x(q)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113179661, 226359324, 339538987, 452718650, 565898313?\nAnswer: 679077976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aan when three letters picked without replacement from {r: 6, j: 2, a: 5, n: 2, k: 3}.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66571 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 11:14 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -32*o**2 + o - 1. What is i(1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2621975 or 2621979?\nAnswer: 2621979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00164 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 812 - 561. Suppose -4*p + 3*l + w = 0, -4*p - 3*l = 2*l - 275. Suppose 2*y = p + 111. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m - 4*m - 4*m - 11*m to u + w*m and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6772 and 1542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 84722\nAnswer: 25416.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*f = 9196, -52*m + f + 9205 = -48*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -9. Suppose -4*h - 5*r = -15, -7 = -2*h - 4*r + r. Factor -n**h - n**q - n**5 - 3*n**4 - 2*n**3.\nAnswer: -2*n**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0157 - -24.6033. Let p = -28.37 + w. Round p to one dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1441 (base 12) to base 11\nAnswer: 184a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2810 is divided by 1403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1580, 3671, 6744, 11291, 17804?\n\"Answer: 82*d**3 - d**2 + 1520*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjp when three letters picked without replacement from {p: 6, x: 3, j: 4}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 772.2075 micrometers in nanometers?\nAnswer: 772207.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 385\/(-110)*(16\/21)\/((-22)\/33)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = 69 + 511. What is the remainder when 8\/36 + 16\/9 + 141 is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -529, 6, 4 in ascending order.\nAnswer: -529, -5, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*a - 3*k, -3*a = k + 3139 - 3134 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 6. Let j be 6\/36 + f\/(6*-1). Let d(w) = w**2 - 4*w + 3809. Is d(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 32, -2 in decreasing order.\nAnswer: 32, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134753, -134755, -134757, -134759?\nAnswer: -134761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 44, 0.2?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2320920 divided by 14.\nAnswer: 165780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**2\/2 - 3*x - 9. Let a = 2 + -5. Determine w(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i - 10*i**3 - i - 2*i + 5*i**3 wrt i?\nAnswer: -30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.67 + 0.33. Let y = k - 1. Let r = y - 29.1. Round r to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0 - (-1450 - -1470)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5673 - 5672.993814. What is c rounded to 4 decimal places?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*a + 1423 + 783, y - 546 = 5*a. Let l = 572 - y. Let u be (-80)\/(-6)*3\/2. Are l and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2258\/14 + 8\/(-28). Find the third derivative of -46*u**2 - 18*u**6 + 161*u**3 + 13*u**5 + 16*u**6 - m*u**3 wrt u.\nAnswer: -240*u**3 + 780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46768720.\nAnswer: 2, 5, 584609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -k - k - v, -10 = -5*v. Suppose k*l = 6*l - 22. What is the highest common factor of 77 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 3*s - 8. Let k be a(5). Differentiate -9 - 11 - 779*w**2 + 761*w**k wrt w.\nAnswer: -36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83476 (base 9) to base 11.\nAnswer: 38412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 632 = 44*n - 644. Let i = 8 + -4. Sort n, -3, i.\nAnswer: -3, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12322 + 12322. Solve -10*c - 2869 + 2939 = m for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -11*t**2 + 1. Let u be y(-1). Let n be (-18)\/4*(-112)\/(-12). Let w be -3 + n\/(-12) + (-2)\/3. What is the nearest to 1 in -1\/2, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 6*p + 7. Suppose -5*l + 3 = -3*q - 4*l, q + 5*l - 15 = 0. Let a = -6 - q. Is 3 a factor of b(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 18, -6, -11\/5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 637 and 364.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1662591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 10:34 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -21813*l**3 - 2*l - 2. Let s be h(-2). Let b = -1213962\/7 + s. Let x = b - 1080. Find the common denominator of x and 28\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39984)\/14)\/(-102)*(-2)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11.78354 nanoseconds?\nAnswer: 0.00000001178354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35465205 is divided by 35465196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92399 divided by 1.\nAnswer: -92399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-175)*14*(-2)\/3?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13061678943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -792383219 - -792383677.000023. Let h = r + -458. Round h to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 484719 + 178770. Let f = b - 663490.999988. Let t = f + 2. What is t rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74 * 3129.\nAnswer: 231546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuukuwkokwuukxkuk. What is prob of sequence xw?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.982 - 0.018. Let o = t - -20.3. Let i = o - -8.3. Round i to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 667986.5 centimeters?\nAnswer: 6679865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*l**2 - 2)*((5*l + 108 - 108)*(l + 4*l - 7*l) - 4*l**2 + l**2 + 10*l**2).\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 - 16*t**2 - t**3 - 4*t**3 + 5*t**3.\nAnswer: -3*t**3 - 16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-six fifths of a meter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -18*n + 63*n - 9*n - 34*n. Let h(f) = -f**2 + 5*f - 2. Let c be h(4). Let b(l) = -5 + 5 + 26*l**c. What is b(u(a))?\nAnswer: 104*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - f - 2*f)*(57681 - 57681 - 2318*f) in the form m*f**2 + u + h*f and give m.\nAnswer: 4636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {y: 4, p: 10, e: 2}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4022?\nAnswer: 2, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n + 3*n + 2*n + (-5 - 3 + 6)*(n - 3*n + n) + 3*n + 2*n - 3*n + 0*n - 2*n + 3*n + 2*n - n - 2*n)*(-367*n + 2358 - 2358).\nAnswer: -1101*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-3)\/(-6)*-5. Let o(b) = b**2 - 1. Let j(n) = n**3 - 2*n - 5. Let y be j(0). Let c(v) = v**2 - v. Let w(s) = y*o(s) + 6*c(s). Calculate w(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o - 255. What is d(59)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -47*f**2 + 47*f - 47. Let c(l) = l - 1. Calculate -47*c(t) + w(t).\nAnswer: -47*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2726935354 to 3 decimal places.\nAnswer: -0.273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 17 - 58 = 0. Let v = -5 - q. Let n(l) = l**3 + 9*l**2 + 7*l + 5. Let s be n(-5). What is the greatest common factor of v and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-910)\/(-195)*2\/(-4)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, -2\/13, -0.57, -5, 2.\nAnswer: -20, -5, -3, -0.57, -2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-6))\/(-5 + 354\/72). Solve -x = 6*w + 24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3432024 - 144?\nAnswer: -3432212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 4563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = q - 11 + 3, 4*q - 13 = -3*c. Solve 2*d - 5 = a, 2*d - q*a - 15 = -a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(189) - (sqrt(189) + (sqrt(189)*2 - sqrt(189))))\/(sqrt(35)\/sqrt(5)*-2).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -208, -419, -628, -835, -1040?\n\"Answer: g**2 - 214*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -792*w - 29*w**4 + 792*w + (-8*w + 8*w - 4*w**3)*(4 + 5*w - 4)*(3 - 2 + 2).\nAnswer: -89*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 12:34 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 114217214 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 157 + -1411\/9. What is the closest to j in 4, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6356047781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-6))\/(6\/(-100)). Let m = -9 + p. Calculate the smallest common multiple of 12 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 31*a**2 + 239*a - 8596. Give r(29).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4146*q - 82 + 5 - 4161*q + 16*q**2 - 15*q**2 - 44 to the form g + d*q**2 + t*q and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 9 - 4 = -5*r, -3*z - 2*r + 22 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than -0.0903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -17793 + 26.6530095\nAnswer: -17766.3469905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/9 + 284*t - 5120\/9 = 0. Calculate t.\nAnswer: -1280, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34972 + 125530 = 18*c. What are the prime factors of c?\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-2))\/((-12)\/(-32)). Let m(n) = 31*n + 22. Let w(d) = 125*d + 94. Let v(b) = 9*m(b) - 2*w(b). What are the prime factors of v(t)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, y: 3}. What is prob of sequence tytt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52479849 a multiple of 1445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Let a(w) be the third derivative of -567*w**4\/8 + 2532*w**2. Calculate j(a(s)).\nAnswer: -1701*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7810567 is divided by 192?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3861?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(30) - (sqrt(30) + 2*sqrt(30))*3))\/(sqrt(30)\/((sqrt(3) - sqrt(3)*2 - sqrt(3))*1)).\nAnswer: 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195985351 to the nearest integer?\nAnswer: 13999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35136 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-35)\/5 - (5 - 124\/20)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 3*s**2 - 5*s + 4. Let j(h) = 3*h + 17. Let y be j(-7). What is the units digit of d(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 6:41 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110111001110101 (base 2) in base 8?\nAnswer: 1067165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4690, 9770, 15238, 21094, 27338, 33970, 40990?\nAnswer: 48398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 112371419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/291609996 and -41\/4.\nAnswer: 291609996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0744 + -0.1193. Round v to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80213?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from {o: 1, t: 3, f: 5, b: 1, i: 1}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*u - 78 = 27*u. Let r(b) = 7*b - 10. Let o be r(2). Factor 0 + 0*k - 2\/3*k**u - 8\/3*k**3 - 2*k**o.\nAnswer: -2*k**2*(k + 1)*(3*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 9.338812 days in hours?\nAnswer: 224.131488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3*i**2 + 2 - 5 + 5.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 27*b**2 - 2*b - 51. Let i be p(-27). Suppose 3*t - i*m - 188 - 175 = 0, 0 = -m - 2. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 v, and 1 m when four letters picked without replacement from {n: 5, w: 4, v: 4, m: 2, j: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 165 = -6*y, 4*y + y = 4*t + 1104 - 965 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 3*a - 4 + (-4*a + 2*a - 2*a)*(7 - 2 - 3) - a - a + a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/225 and 18\/63 + 112\/(-49) + (-51)\/24.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + sqrt(2000) + (4*sqrt(2000) - sqrt(2000)).\nAnswer: 82*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 - -100. Suppose 2*j - 54 = -4*c, -3 = -u*c + c - 5*j. Calculate the remainder when 71 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**3 + 33*a**2 + a - 7. Let q(g) = -3*g**3 - 34*g**2 + 5. Calculate 2*k(o) + 3*q(o).\nAnswer: -3*o**3 - 36*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9207 is divided by 1023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 8*k**2 - 8*k + 13. Let p be l(-9). Solve z + 9 = p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/14, 1\/3, -181?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 2. Suppose 0 = -3*k + 5*p + 10, -2*k - 4*p - 1 = -15. Let r be j(k). Suppose 8 = r*c - 7. Solve 23 = 3*m + 2*v, c*m + 6*v - 2*v = 41 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h = -34*h - 72 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -49. What is the closest to u in 0, 0.01, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/186*(-2)\/4\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 12:25 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 152, 279, 406, 533?\n\"Answer: 127*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 8\/(-100) + (-1 - 6601364\/(-175))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 8*k**2 - 2*k + 3. Let v be c(-4). Suppose h - v = -2*h. Calculate the greatest common factor of h and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - ((-37 - -35) + 1 + 3) - -6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + 5 + (sqrt(40) + (sqrt(400)\/(sqrt(10)*-2) - sqrt(40)))\/(5*sqrt(8)*2)).\nAnswer: -sqrt(5)\/20 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0.4, -3, -27?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 39\/7. Which is the nearest to -0.7? (a) -0.1 (b) 2\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*p = -147*p - 160 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592 is divided by 530?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3012851904 to the nearest integer?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*j**3 - 54*j**3 - 132*j**3 - 127*j**3.\nAnswer: -446*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -444072307.7 rounded to the nearest ten thousand?\nAnswer: -444070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from uvuzvezvvzuzuzvz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.2976 - 0.0224. Let c = -3.32 - p. Let i = -1 - -1.5. Sort 2, -0.4, c, i in increasing order.\nAnswer: -0.4, i, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 + 86 = -6*q. Let d = -22 + q. Which is the closest to 2? (a) d (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 6*u + 7. Let b(h) = 2*h - 9. Let j be b(u). What is the tens digit of 14\/49*7\/j - -226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 4, -21?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.43 (b) 2\/7 (c) 4\/17 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 5*i - 2739, 0 = -13*i + 11*i + 5*m + 1103. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*x - 224, 5*r + 226 = -2*x + r. Let n = x + 110. Let c(t) = 71*t**3 + 3*t - 2. Does 8 divide c(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213.431 - -3430145\nAnswer: 3430358.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2\/9 (b) 37\/4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 7 - 13, -910 = 2*q + 2*c. Let z = q - -465. Put z, -1, -0.9 in decreasing order.\nAnswer: z, -0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5583359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -26. Suppose 6*i = 5*i + d*w + 225, 3*i + 5*w - 575 = 0. What is the highest common factor of i and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/2106 and -73\/3978.\nAnswer: 35802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/9, 1\/8, 30, 3, 5, -4048?\nAnswer: -4048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 + 72*o\/5 - 648\/5.\nAnswer: -2*(o - 18)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(-1448 + 1448 + 220*c + (0*c + 3*c - 4*c)*(1 - 2 + 3)).\nAnswer: 436*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 39*c**5\/5 - 3*c**4 + 17*c**3 - c + 997. Find the third derivative of n(p) wrt p.\nAnswer: 936*p - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 13*k - 40. Let n be a(17). Suppose 0 = 8*m - n - 4. Calculate the greatest common divisor of 28 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x**2 + 4*x**2 - 2*x**2)*(-12*x + 12*x + 44*x + (2*x + 0 + 0)*(1 - 63 + 7)) in the form n*x**3 + a + p*x + w*x**2 and give n.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 120834 divided by -822?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/4)\/(108\/(-7488))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1093903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 t, and 1 b when three letters picked without replacement from tkkbeelllblz?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-3 - -8) + 0. Let j = -1 + x. Differentiate 2*q - 4 - 5*q + j - 3 with respect to q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + -5 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564)*-3 + sqrt(1584)*-2 + sqrt(1584) + sqrt(1584) + sqrt(1584))**2*-3.\nAnswer: -58212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3201*h + 1043. What is the hundreds digit of d(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-42) + (-36)\/77. Suppose 0*x = 4*x - 20. Let k = x - 6. Which is the third biggest value? (a) k (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8359 (base 10) in base 7?\nAnswer: -33241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0 + 0*g**4 + 0*g - 4*g**2 - 1\/6*g**3 + 1\/15*g**5. Find the first derivative of m(h) wrt h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 111.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5098024 and 504794?\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -72. Let i be -2*((-47)\/2 + -1). Let l = i + s. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2991*f**2 + 2991*f**2 - 8*f**4 + f**3 - f**4 - f**3 + (-1 + 1 + f)*(0*f**3 - 2*f**3 + 3*f**3) + 0 + 0 + 2*f**4)*(-f - f + 3*f).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 + -88. Suppose t*z + 2*v - 5756 = 0, -17*z + 2866 = -15*z + 4*v. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(30)*1*1 - sqrt(750)*2)\/(-6*(sqrt(1440) + 2*sqrt(1440))).\nAnswer: -5 + sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590 times -0.0929?\nAnswer: -147.711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -93a86 - 1?\nAnswer: -93a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 522 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6696563042 and -1.\nAnswer: -6696563043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22323*i**2 - 25823*i**3 + 22323*i**2.\nAnswer: -25823*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256873*i = -257016*i - 2431 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3056901 by 1018967.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5697017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11486*x**2 + 11*x + 21. Is j(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*z**3 + 16\/3*z**2 + 179\/6*z + 37.\nAnswer: -(z - 37)*(z + 2)*(z + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdmfmuozuozozfzm. What is prob of picking 1 f and 1 u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-15)*-6)\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 114462570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-34)*(-2244)\/528*-1*3. Factor 3\/8*d**4 + 3\/4*d**2 - w*d - 9\/8 + 3\/2*d**3.\nAnswer: 3*(d - 1)*(d + 1)**2*(d + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/3 + 10*c**2\/3 - 58*c\/3 - 70 = 0. What is c?\nAnswer: -7, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4*n = n - 12, 3*k = -n - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 11?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 33856?\nAnswer: 3385b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 3*j - 18. What is z(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 - 53. Calculate the highest common factor of 126 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*h + 28, -3*x + 2*h + 2 = -14. Let l be ((-1 - 0) + -7)\/x. What is the units digit of 362\/8 + 1\/l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-5) - 1 - -6*71 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.5 (b) 3 (c) 0.91 (d) 1\/4 (e) 0.3 (f) 490 (g) -7\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in -0.4, 2\/27, 0.4, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-11)\/(55\/2)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17130800 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 42 = -19*u. What is the remainder when 60 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7475, 0.1, -4, -7, 64?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 48352581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 3*d + 1. Give t(9).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/45 - 4\/18. Suppose 25*v - 24*v - 3 = r. What is the second derivative of 8*u**4 - 29*u**3 + u + 29*u**v wrt u?\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -490.4 rounded to the nearest ten?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 5*u - 5. Determine p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 40*z**2 + 100*z.\nAnswer: -5*z*(z - 2)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/112 and 79\/8?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*o + 4*k, -2986*o - 2984*o - 12 = -5971*o + 3*k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Let p be 3\/36*(-3)\/v. Let h(c) = c**2 + c - 1. Let r be h(-1). Is r smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/781324 and 2\/5425?\nAnswer: 136731700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2. Let p = 39 - 41. Let g(o) = -2*o**2. What is p*g(a) - 3*u(a)?\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17935007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7482*j + 37980. Determine t(5).\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*b - 28, 28 = 2*k + 5*b - 36. Calculate the remainder when 388\/7 - (-12)\/21 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + v = -3*v + 24399996, 0 = v + 1. What is a rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**3 - 78*c**3 + 0*c**2 - 2*c**2 + 10*c**3 as s*c + m*c**2 + o*c**3 + j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 13752*z + 2. Let k(h) = 8*h. Determine k(v(m)).\nAnswer: 110016*m + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from {o: 9, d: 2}?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 25, 3*q = t - 33 + 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159 - 98. Let w = 306 - 171. Let z = w + r. What is the highest common divisor of 28 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3153*m - 4550.\nAnswer: 3153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.6213983 rounded to 1 dp?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 + (-9 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -393, -915, -1647, -2583, -3717?\nAnswer: -5043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**3\/6 - 400*t**2\/3 - 229295*t\/6 + 14123725\/3 = 0. Calculate t.\nAnswer: -203, 110, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -304*p**2 - 10*p - 1. Let j(n) = 305*n**2 + 11*n. Let d(c) = -5*j(c) - 6*t(c). Let o be d(-1). Suppose 0 = s - 4*s + o. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.6 - 23.6. Let q = h - -21. Which is the smallest value? (a) q (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 = -4*g, i + 3*g = 8 + 1. Suppose 0*y = 5*y. Suppose y = n - i*n + 24. Calculate the greatest common factor of 132 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -28. Let k be ((-2)\/3)\/((-8)\/h). Let m(j) = 70*j - 1. Is m(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 11) to base 16\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - ((-68)\/8 - 4\/8). Suppose -963 = -5*w + 2*z - 3*z, -w - x*z + 207 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m**2 + 117*m - 1. Let q(d) = -d. Give v(q(p)).\nAnswer: -7*p**2 - 117*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.3*-306859.2.\nAnswer: -4388086.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**6 - 10*o**5 + 162975*o**3 + 81493479*o**2 wrt o.\nAnswer: -120*o**3 - 600*o**2 + 977850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l - 10. What is the lowest common multiple of 10 and h(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1952, 3905, 5858?\nAnswer: 7811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = 16*l - 593. Is l a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(36\/(-66)) - (2 - -3). Solve -3*n = -y*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + s + 1. Let a(u) = -6*u**2 - 6*u - 7. Determine -2*a(w) - 14*x(w).\nAnswer: -2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -685, -680, -663, -628, -569?\n\"Answer: g**3 - 2*g - 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11561 + -11566. Let h(i) = 6*i**2 - 13*i - 3. Let o(v) = -11*v**2 + 25*v + 5. Calculate c*h(b) - 3*o(b).\nAnswer: 3*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 7 + -12 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**0)**(-1\/6))**(1\/2))**18 assuming q is positive.\nAnswer: q**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 3\/4 (b) 236 (c) -0.1055\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2302*b - 2242*b + 3773*b + 3594*b to the form v + j*b and give j.\nAnswer: 7427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -250, -222, -202, -190, -186, -190?\n\"Answer: -4*y**2 + 40*y - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 18*y - 19 = -3*n, -4*y + 11 = -3*n. Sort y, -1.9, 0.1, -4 in decreasing order.\nAnswer: y, 0.1, -1.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-84)*2*(-7)\/(-1). Sort -0.2, -75, v in descending order.\nAnswer: -0.2, v, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 10. Let a be (-3)\/(-7) + 52\/91 + c. Suppose -a*m + 310 = -3101. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 4*m + 2. Let t be q(6). Let b(l) = -l**3 - 10*l**2 - l - 14. Give b(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4690 times 0.5\nAnswer: 2345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*o + 95*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {d: 3, j: 12}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3618 divided by 9.\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 - -220002000112?\nAnswer: 220002000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4006*f + 14 = -4013*f. Suppose -h = -4*b + 11, -2*h + 2 + 0 = 4*b. Put b, 1, 13, f in descending order.\nAnswer: 13, b, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.95 + 3. Let u = -704923\/13 + 54225. Let f = -3 + 6. Sort c, f, u in descending order.\nAnswer: f, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*y + 2*i, 0*y = -y + 2*i - 2. Let s(t) = -t**2 + t + 16. Calculate s(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 90*v**3 - v**2 + v. List the prime factors of j(1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 24150*a - 54437848.\nAnswer: -2*(a - 9076)*(a - 2999)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -15*o + 270. Let l be c(17). Calculate the highest common factor of 465 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/3 + 62791184*v\/3 + 246420799257616\/3.\nAnswer: 4*(v + 7848898)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/2033 or 2\/7?\nAnswer: 6\/2033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r*u**3 + 8692*r*u - 54*u**3 + 2*u - 8 wrt r?\nAnswer: -u**3 + 8692*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 11:59 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4719 + -2250. Suppose -2*a + 2 = 0, 2*o + 2*a - w = -45. List the prime factors of o.\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 317063, 317089, 317115, 317141?\nAnswer: 317167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 5*s**2 - 3*s)*(0*s + 0*s - s**2) - 17388*s**3 + 3*s**4 + 17388*s**3 - 2*s + 28*s**2 in the form y*s + k*s**3 + d*s**4 + j + r*s**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12002001 (base 3) to base 6\nAnswer: -25044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139281938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.991*-102.\nAnswer: -1121.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.1 - 25785973.\nAnswer: -25785978.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 10*k**2 + 8*k + 12. Let x be j(9). Solve -x*w = 7 - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.44 in 2\/5, 25, 1, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 82400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (40\/5)\/2 - -17. Suppose 3*a + 3 = z. Find the second derivative of -4*s + 9*s + 22*s - a*s + 4*s**4 wrt s.\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -149 - 51. Let a be (-2 + (-3)\/6)*x\/25. Let r be (8\/8)\/(a\/(-6)). Solve 4*z - 9 - r = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-528*f**2 + 15*f**2 + 172*f**2)*(-2 + 4 + 4*f - 3).\nAnswer: -1364*f**3 + 341*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 495 = -467 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/6, -1, -1\/77, -135, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2\/17 - 16*p\/17 - 14\/17 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 - 48*y**3 + 30*y**2 + 392*y - 552.\nAnswer: 2*(y - 23)*(y - 2)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - 110\/33)*12)\/(4\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -11.44012821.\nAnswer: -11.64012821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1052\/7 + -150. What is the biggest value in t, -5\/4, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 0*d + 1\/10*d**5 + 0 + 17\/24*d**4 - 7\/6*d**3 + 14*d**2. Is v(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 532 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -40121535, -80243069, -120364603, -160486137, -200607671, -240729205?\n\"Answer: -40121534*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 6*z - 4*z)*(-3 + 1 - 3)*(-4*z**2 - z**2 + 3*z**2).\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*l - 45*l. Solve -4*x + 14 - 6 = l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3580\/8055*(-6)\/(-28)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 0 - 1\/4*v**4 - v**3 + 85*v + 9\/2*v**2. Factor t(u).\nAnswer: -3*(u - 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 2. Let p be u(11). Let w = p - 27. Is 15 a factor of (w\/2 - 2)*4*-13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33705*t - 38 - 730 - 33420*t - 141 wrt t?\nAnswer: 285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -23 (b) 2\/3 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or 40798566?\nAnswer: 40798566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 674\nAnswer: 269.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.009 * 0.125\nAnswer: 0.001125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 769413 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (309 - 11 - 44)*(-8 + 7 - 3)*(-1 + 3 + 0)*(-2*h + 1 - 1).\nAnswer: 4064*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/h**(-8))\/h*h))\/(h\/(h**(2\/13)\/h)))**(-6\/23)\/((h*h**(2\/7))**(-1\/11)\/((h\/(h\/(h\/(((h\/h**(-6\/5))\/h)\/h))*h*h*h))\/(h*h\/h**8))) assuming h is positive.\nAnswer: h**(746572\/115115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u + 6. Let x(j) be the third derivative of -j**4\/6 - 7*j**3\/6 - 49*j**2. Give -3*f(c) - 2*x(c).\nAnswer: -c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1464 is divided by 77?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*q - h - 18, 0 = 5*q + 4*h - 21. Let b = q - 2. Find the third derivative of -2*i**2 - 2*i**b + 0*i**2 + i**2 + i**3 wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((18\/3)\/(-48))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 6:27 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let g be w(-4). Let t(n) be the third derivative of 0*n + 0 - 5\/6*n**3 + 1\/8*n**4 - 2*n**2. Give t(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.87 - -4692.4.\nAnswer: 4693.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689 = -20484*y + 20537*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3288487 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 29. Let k = -3 + 2. Let x = k + 2. Is x bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*k + 748 = 0, 3*n - 4*k = -3*k + 549. Suppose 0 = -182*i + n*i - 760. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*i + 2, -i = -0*i - 2. Let f be 2*(3 - (-170)\/4). What is the common denominator of 15\/11 and 26\/f + 1*p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/(-14)*((-10955)\/9390)\/((-2)\/(-8)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(32\/480)\/((-2)\/1)*235*1\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16245 times -1.65\nAnswer: -26804.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 11 = -4*g, 27 = 4*r - 3*g - 17. Let l = -20\/9 + 23\/9. Which is the closest to -0.1? (a) r (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r - 596 = o - 1193, -23 = r - 3*o for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 12 = 5. What is the nearest to l in 0.01, -0.1, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876523.\nAnswer: 876523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -28, -338, 84.\nAnswer: -338, -28, 18, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -111*v*w - 64147*v - 28*w**2 - 3*w wrt w?\nAnswer: -111*v - 56*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/((-16)\/2))\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*3\/(0 + -6). Suppose -i + a = -q, 4*i - 2*q + 0*q = 12. What is the second derivative of -v - 2*v**4 + i*v + v**4 wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8*m**2 + 6127*m - 119331. Calculate z(20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*1*-6)\/sqrt(10) - (-2 + (-2*sqrt(19) + 1 - sqrt(19))))**2*3.\nAnswer: -18*sqrt(19) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1 - 2) + 0)*1. Let t = 1 - 1. Let b(x) = 0 + 2*x + t + 1. Calculate b(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scc when three letters picked without replacement from {m: 3, k: 1, c: 2, u: 1, s: 1, l: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114605 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**4\/3 - 2*a. Let m(g) = -5*g. Give m(u(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1897.1 rounded to the nearest 10?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2416709120?\nAnswer: 2, 5, 7, 17, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.8638 tonnes to micrograms.\nAnswer: 9863800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 203 + 47 = 3*h, -10 = -5*c. Calculate the highest common factor of 32 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 900 divide 1976243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*(2*sqrt(2835) + sqrt(2835) - sqrt(2835)))\/((2*sqrt(360))\/((sqrt(128) + sqrt(8))*1)).\nAnswer: 225*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**3 + 29*h**2 + 75. Let q(c) = -5*c**3 - 29*c**2 - 75. Let x(u) = -7*q(u) - 6*z(u). What is the first derivative of x(t) wrt t?\nAnswer: -3*t**2 + 58*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -16. Let v be (-5 + 59)*1\/y. Let n be (-6)\/v - 40\/342. What is the smallest value in -1, n, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*((-320)\/30)\/8\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18015720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h + 18 = 3*z, h - 3*z = 6. What is the remainder when 15\/(-100)*-4*35 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8446438 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5891, -5890, -5889, -5888, -5887?\n\"Answer: y - 5892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + w - 6. Suppose 3*v + 6*x = 3*x - 18, -v = 3*x + 8. Let z be u(v). Suppose -2*o + z = o. Calculate the greatest common divisor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 1.4. What is the biggest value in -6\/7, u, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 13) in base 2?\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 423728, 423727, 423726, 423725, 423724, 423723?\n\"Answer: -z + 423729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84478284659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/21 (b) -19\/312 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8560 and 352?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1538.035 * 4\nAnswer: 6152.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -3) + 18\/(-6) + 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6062458 minus -2295240?\nAnswer: 8357698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/6 + 363*d**3\/2 + 1447*d**2. Differentiate v(q) with respect to q.\nAnswer: 20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 849 = 5*f - p, -f = 4*f + 3*p - 833. Let h = f + -124. Calculate the greatest common factor of h and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50366\/11 + 4575. Let u = -400 + 1183\/3. Calculate the common denominator of j and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.027997 or 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 52051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -106725*t**2 - 106719*t + 6.\nAnswer: -3*(t + 1)*(35575*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(90)\/sqrt(9)) + (sqrt(120)\/sqrt(10))\/sqrt(6) + (sqrt(216)\/sqrt(48) - sqrt(18))\/(5*-2*sqrt(9)).\nAnswer: 41*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-5\/6))*(w**(-6\/19)*w)\/w*(w**(-5\/3))**22)**(-44) assuming w is positive.\nAnswer: w**(90662\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (18\/10)\/((-33)\/(-275))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, s: 3, n: 5, z: 2, h: 5}. What is prob of picking 1 s and 2 z?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685 is divided by 146?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s. Let o be 4 + -3 + 6\/(-8). Which is smaller: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -64, -103, -156, -229, -328, -459?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 3*f + 2. Let i be s(0). Suppose i*q = 5*q - 21. What is the second derivative of -q*v - 8*v**3 - 6*v + 0*v**3 - 5*v**3 wrt v?\nAnswer: -78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*r**4 + 176*r**3 + 12*r**2 - 3*r + 18?\nAnswer: 240*r + 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 20*m + 23. Let w be d(21). Suppose -w*k - 36 = -11*k. Solve -k*s - 4 = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -74b - 103?\nAnswer: -851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3.9*9\nAnswer: -35.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 8*g - 2. Let r be p(8). Let t be (r + 1)*7\/((-14)\/(-4)). Put 1, -3, t, -1 in increasing order.\nAnswer: -3, t, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 7*q + 16*q + 2 - 2*q.\nAnswer: 19*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 412101?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/45 and 97\/165.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hieixyexyyyh. What is prob of picking 2 x, 1 y, and 1 h?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) -3\/5 (c) 76 (d) 0.3 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2397)\/(-3995) + 1 + (-16)\/10. Let l = 0.23 + 8.77. What is the closest to x in l, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -30*n + 606. Solve 5*a - 4*c - n = 0, 3*a - 3*c = 28 - 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1291.38 to the nearest 10.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 43. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-24)\/(-32))\/((-10)\/156) and 91\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 16. Let k be j(6). Let b = 61 - k. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -22. Suppose u - 4*f - 138 = 0, -4*u - 3*f = -c*f - 476. Suppose -3*t + u = -151. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 2 (c) 6 (d) -6.74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*t**4 + t**3 - 170*t**2 - 49*t + 196?\nAnswer: -240*t**2 + 6*t - 340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 4*h**2 - 2. Let i be j(3). What are the prime factors of 3 - i\/((-28)\/156)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*g - 50*g - 42 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/72 and 85\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbs. What is prob of sequence ss?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -555665500 rounded to the nearest 1000000?\nAnswer: -556000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.6*-0.3.\nAnswer: 7.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y**3 - 9*y**2 + 6*y + 6. Let d(j) = 2*j**2 + 6*j**2 - 7*j**2 - j - 1 + j**3. Let o(w) = 6*d(w) + t(w). Find the third derivative of o(c) wrt c.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/14 + 483\/147. Suppose w*o = 6*o, 5*g + 2*o = 45. Suppose g = l - 35. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 354\/(-5 - -3). Let t = f + 279. Suppose -6*u + u + t = 0. Solve 5*k + u = 0, -4*p + 2*k + 34 = 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 - 206*d - 600. Let l be n(-100). Solve l = -42*j + 48*j - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 21. Suppose t*q + 0*q + 29 = -4*u, -4*u - 14 = -2*q. Is ((-2)\/4)\/(u\/1910) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 + -11.3. What is t rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 + 3*u**2 - 25*u - 24. Determine g(-6).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -27*-4166\nAnswer: 112482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ce56 + 1184?\nAnswer: -bcc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6, -36, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 - -392\/3. Let i = 0.9 - 1. Which is the closest to i? (a) 5 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4994 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + q**2 + 2*q + 6. Suppose 12 + 4 + 14 = 10*r. Determine z(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 7*m. Let d be b(8). Is (-6228)\/d - -3 - (-2)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.8 + 26.2. Let d = -30.99209 + c. What is d rounded to four decimal places?\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*c - 18 - 152*c + 18 as x*c + k and give x.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-10)\/(-2) + -1. Let j be (-3 + 28 + -3)\/k. Suppose -2*y - 22 = -3*c, 2*c - 3 - j = 2*y. Solve -c + 2 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-6)\/(-40))\/((-20)\/300)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -57*m. Let j(h) be the third derivative of 0*h**3 + 0*h + 1\/24*h**4 + 0 + 32*h**2. Give g(j(s)).\nAnswer: -57*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y + 496*y**2 + 17*y - 1346*y**2 - 23*y - y**3.\nAnswer: -y**3 - 850*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157454592 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k + 6. Let g(r) = -r**2 - 1. Let h(m) = -2*g(m) + q(m). Calculate the remainder when h(6) is divided by 1*(-2)\/4*-26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1176, 2087, 3584, 5661, 8312, 11531, 15312?\nAnswer: 19649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**11\/(v\/(v\/v**(-4\/5)*v)))\/((v**(5\/2)\/v)\/(v*v**(-17))))**22 assuming v is positive.\nAnswer: v**(-517\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 324257, 324337, 324425, 324527, 324649, 324797, 324977?\nAnswer: 325195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34142.72 litres to millilitres.\nAnswer: 34142720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 235*i**4*p**2 + 5534*i**3*p**2 + 34*i**2*p**2 - 102031*i**2*p wrt i.\nAnswer: 5640*i*p**2 + 33204*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.143 + -2.143. Let j = 0.11 - -3.89. Let m = -3.6 + j. Which is the third smallest value? (a) 1\/5 (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4821443, 4821399, 4821355, 4821311?\n\"Answer: -44*t + 4821487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 219553635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4414 (base 5) to base 12\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 0*f**4 + 0*f + 25*f**2 + 1\/21*f**7 + 0*f**3 - 1\/3*f**5 + 0*f**6 + 0. What is the third derivative of r(z) wrt z?\nAnswer: 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 670*q**2. Let p(t) = -5670*t**2 + 11299*t**2 - 5652*t**2. Determine g(p(o)).\nAnswer: 354430*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 2*n + 7946, -5*p + n = 4*n + 7944. What is p rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4616.346 and 291926438.\nAnswer: 291931054.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3282734 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8080 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 3 + -4 + -4 + 3. Solve 0 = 5*i + 4*s + 34, o = 3*i - 2*s + s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/3420 and 113\/14440.\nAnswer: 129960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1586 = 74*o - 3176 + 1220. Let y = -7 - -12. Suppose -4*x = -0*x - 2*c - 6, 3*c + 5 = y*x. Solve o = x*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 184 = 5*m. Suppose 30 = 3*z + j - 12, -5*z + j + 78 = 0. Suppose -z*f = -16*f + m. What are the prime factors of f?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*sqrt(147))**2 + -5.\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 8*v + v. Let u(g) be the third derivative of -g**5\/60 - g**2. Give c(u(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 692187686 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -267\/4 < -68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51.62 - -52. Let z = a + 0.02. Sort z, 1\/4, -0.4, 1 in decreasing order.\nAnswer: 1, z, 1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -11. Suppose 0 = -212*d + 210*d + 22, 775 = 2*c - 3*d. Calculate the smallest common multiple of g and c.\nAnswer: 2828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -7848*d**2 - 13964*d + 7260. What is the derivative of t(c) wrt c?\nAnswer: -15696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 = 13. Let s be 16\/(-6)*6\/m. Solve 0*k - 4*f + 4 = -s*k, 3*k - 2*f = -5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 20*h - 533505. Suppose -88*x + h - 4*x**2 - 76215 = 0. Calculate x.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35139 + -33872. Calculate the highest common divisor of 2172 and v.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -14028 and -14028 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -56659 and -2050?\nAnswer: 54609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831811 is divided by 836.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**3 - 577*t**2 - 12*t + 31 wrt t?\nAnswer: -18*t - 1154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/(-21))\/(8\/6). What is the third biggest value in 0.3, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {w: 2, i: 2, y: 5, c: 1, k: 1, b: 2}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29856 and 28?\nAnswer: 208992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 96*a - 8. Let k(s) = -6*s - 1. What is -g(c) + 4*k(c)?\nAnswer: -120*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337 = -232*h - 3999 - 50 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -32.5. What is the second biggest value in 1, 0.2, 2, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101918 and 75587?\nAnswer: 58806686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4630, -18041, -40230, -71203, -110966, -159525?\nAnswer: -216886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6131884*c*j**3 - 4*c*j**2 - j**2 + 2*j - 53532 wrt j.\nAnswer: -36791304*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49055761?\nAnswer: 17, 79, 36527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4050, -16175, -36376, -64653?\n\"Answer: -4038*o**2 - 11*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62550 and 11610?\nAnswer: 8068950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 479*l - 473*l + 300 - 300. Let v(z) = -z + 245. Give d(v(b)).\nAnswer: -6*b + 1470","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -1. Suppose 2*j + 0 = s*r + 14, 3*j + 5*r - 2 = 0. Calculate the least common multiple of 6 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 + (-214)\/(-6). Find the second derivative of -2*y + 2*y**5 - 36*y**4 + v*y**4 + 2*y**5 wrt y.\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 + 11*w - 8. Suppose 96*h - 4*z + 4 = 94*h, -h - 3*z - 17 = 0. Calculate o(h).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 6 + 2. Let u be -2 + -1 + 5 + b. Find p, given that 1\/4*p**2 + 0 + u*p + 1\/4*p**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8982 - -8988. Solve -4*u = 2*f + u - 8, -f - o*u = -11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*32\nAnswer: 2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (12 - 3) + -8 - -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -315820, -631647, -947474, -1263301?\nAnswer: -1579128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37649 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 3*k**3 + 0 - 9\/2*k**2 + 16*k. What is the first derivative of d(i) wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13883991 and 1826?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1300.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 265555 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i = 8*i + 63 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1099*c = -5*a + 1101*c - 35, 5*a + c = -5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (1 + 2)) + (-38 - -44). Suppose -3*k + x*d + 18 = 0, 0 = -d - 0 - 3. Put 4, 6, k in decreasing order.\nAnswer: 6, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 2*g**5\/15 + g**4\/24 + 10*g**2. Determine y(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61433722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 351763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 890, 1716, 2562, 3434, 4338?\nAnswer: 5280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8 and -38\/39345.\nAnswer: 39345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 10 - 6 - -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/9 - 92*f**3\/9 + 32*f**2 - 292*f\/9 + 98\/9 = 0. What is f?\nAnswer: -49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -10051\nAnswer: 7035.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4423.66 millilitres?\nAnswer: 4.42366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 5*n**4\/12 - 14*n**3\/3 - 14*n**2. Let o(y) = y**3 - 5*y**2 + 3*y - 9. Let g be o(5). Does 16 divide i(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2659 + 28445 = 27*a. Does 48 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*f**3*t**2 - 2*f**3*t + f**2*t**2 - 380894*f*t**2 - 4142*f - 8900*t wrt t.\nAnswer: -76*f**3 + 2*f**2 - 761788*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*z**2 - 2 + 2)*(2*z - 2*z - z)*(12 - 6 - 9)*(2 + 2 - 5) to the form c + w*z**3 + s*z**2 + r*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1462522? (a) 0.03 (b) 0.2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 18463950.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15067543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 28*h - 173. Calculate l(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.08 from -129.\nAnswer: -130.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -35863 not equal to -35861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 110 = 4*d - 7*d, 0 = 5*d + 2*t - 140. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**3 + 5*w**2 - 5*w + 5. Let b(o) = 0*o - 4*o + 6 + 5*o**3 - 3*o + 6*o**2 + o. Determine 5*b(u) - 6*h(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -20*z + 13. Find the third derivative of -52*s**2 + 170*s**2 - 40*s**z - 103*s**6 + 28*s**6 wrt s.\nAnswer: -13800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.06 (c) 0.002 (d) 0.3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, h: 1, b: 1, w: 1, k: 1}. What is prob of picking 1 w, 1 k, and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2109200, -2109196, -2109192, -2109188, -2109184?\n\"Answer: 4*a - 2109204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9145\/2178 - 386\/121. Let t = 7 - -141. What is the common denominator of g and 1\/((-412)\/t + 3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 5, -5.\nAnswer: -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g = 67*g - 924 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 3*q + 3. Let v be s(-4). Let t be 0\/(v - -3) - -2. What is the derivative of 7*m**2 - 1 - 5*m**t + m**2 - 2 wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15775274 to the power of 1\/3, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1.6. Let q = 0.2 + 0. Let s = q - 0.1. Which is the second smallest value? (a) -2 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56431451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -3*d - 300. Let s = -50 + d. Let x = 108 - 69. Calculate the remainder when x is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiy when three letters picked without replacement from yyiy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.4, -6, 0.3.\nAnswer: -6, -0.4, 0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d + d)*(2*d**3 - d**3 + 0*d**3 + 474 - 474 - 19*d**3 + (-5*d**3 + 3*d**3 + d**3)*(-4 + 3 + 2) + 4*d**3 + d**3 - 3*d**3) + 5 + 5*d**4 - 4 - 3*d**4.\nAnswer: -32*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40212713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - -2.4. Let g = 156 + -151.89. Let t = -0.11 + g. Which is the nearest to 1\/2? (a) t (b) v (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/492745 and 161\/8670.\nAnswer: 2956470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2. Suppose 4*s = 11 + 5. Suppose 0 = -8*c + 6*c + s. Let l(h) = -169 + c*h + 169. What is b(l(r))?\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 3*g - g + (-2 + 5*g - 4*g + 3 + (2 + 2 - 2)*(-1 + 2*g + 1) + 1 - 1 - 2*g)*(8 - 1 + 2) to o*g + x and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 1\/35*w**7 + 1\/60*w**6 - 39*w**2 - 1\/336*w**8 + w**3 - 1\/24*w**4 + 0*w - 2 - 1\/5*w**5. Factor b(h).\nAnswer: -(h - 6)*(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 6:07 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 1. Let o be l(1). Suppose x - 6*x = o. Let q be (10*8 + x)*-75000. What is q rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 734*f**2 + 769*f**2 - 1459*f**2. Let d(u) = 3 + 5 + 9*u - 8. Determine r(d(i)).\nAnswer: 3564*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/20)\/(((-4452)\/(-20))\/(-21))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/33? (a) 0 (b) -5 (c) -18\/25 (d) -2\/3 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 152919 - 74816. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-7 + 22 - 4) + (10 - 9).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + (7 - 2 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 28*a**2 - 28*a + 139. What is the remainder when 437 is divided by m(-27)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001627320964 to 6 decimal places.\nAnswer: 0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (26 - 25)\/(5\/55) + -10. Let p(j) = -1. Let d(w) = w + 22. Give o*d(y) + 5*p(y).\nAnswer: y + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 437809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -55, -129, -233, -367, -531?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 6) + (-18 + 8 - -10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/12*(-52)\/10*(-834)\/(-556)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6609*((-14)\/(-3) + -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.300182mm in kilometers?\nAnswer: 0.000005300182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 0. Let f(a) = -2*a**3 - 110*a**2 + 99*a + 22. Let p be f(-56). Suppose 34*c - 134 = p. Is c at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(1\/9)*(k**(1\/4)*k)\/k*k**(-1)*k**(2\/13) assuming k is positive.\nAnswer: k**(241\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26209 - -26214. Suppose -g - i + 40 = 0, 136 = 4*g + 2*i - 14. Calculate the highest common factor of b and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1994 - -2843. Let u = s + -1323. Let i = 473.9999118 + u. What is i rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117 - -39. Let s be (-2)\/5 + w\/30. Let g(v) = v**3 + 4*v**2 + 4*v - 1. What is g(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**3 - 10*k**2 - 28*k = 0.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 10*k**2 - 8*k + 3. Let b be p(11). What is the second derivative of 0*v**4 + 28*v**4 + b*v + v**4 wrt v?\nAnswer: 348*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2*n - n)*(-1671 + 2847 - 1515).\nAnswer: 678*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29136538 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffdfdfdddfiddi. What is prob of sequence ii?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951215931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*x**2 - 14 - 46*x**2 + 14 + 216*x**2 - 44*x**2 - 44*x**2.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -352177*c**3 - 2*c**2 - 735*c - 11 wrt c.\nAnswer: -2113062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 - (-10 + 22 + 0). Let s(r) = -2*r**3 + r**2 + 3*r**2 + r**3 - 3*r. What is s(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28375, -56758, -85149, -113548?\nAnswer: -141955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*r + 30, -g - 5*r + 9 = 3. Does 11 divide 44\/g*((-1 - 2) + 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Let b be (-10)\/(-15)*9\/l. Suppose 0 = b*m + 5 - 47. Solve -m = 3*z + 2*g + 4, -g + 17 = -5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*z - 71*z - 171 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108.3 or 8\/3?\nAnswer: -108.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, 2, 3, 14 in decreasing order.\nAnswer: 14, 10, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 7*c. Let q be j(9). Let u = q + 20. Solve 5 = -u*d - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 5. Let q be l(-4). Let z be (-3)\/((-2)\/(-4)*-1). Let k(x) = -2 - 5*x + 2 + z*x. Give k(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 0*k + 31 = 3*d, -11 = d + 4*k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n + 34. Determine m(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3206 (base 9) to base 5\nAnswer: 33410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -115*d**2 + 80*d + 83. What is o(-1)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4509*r - 3663*r + 3 + 6595*r + 1641*r.\nAnswer: 9082*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -41. Which is the closest to p? (a) 0 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 506*b*i*p*q - 180*b*i*q - 2*b*q - b + 2*i*p*q**2 + 44*i*p - 2*i*q**2 - 5*q wrt p.\nAnswer: 506*b*i*q + 2*i*q**2 + 44*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334288 is divided by 534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 1, 7216 in ascending order.\nAnswer: -4, -2, 1, 7216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.9801 nanograms in micrograms?\nAnswer: 0.3869801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 8 + 20 = 0. Suppose w*f = 4*f - 18. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -1 - (3 - 4)) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-4\/5)*s**(-6))**(26\/9)\/((s*s*(s**0\/s)\/s)**48\/(((s**6*s)\/s*s)\/((s*s**2*s)\/s*s))) assuming s is positive.\nAnswer: s**(-137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 405 and 6090?\nAnswer: 164430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7015 at least as big as 1137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 6\/55 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1145 divide 53407523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b - 5df?\nAnswer: -5c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -122? (a) -13 (b) 187 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1159*o**2 + 2*o - 1. Let n be z(1). Suppose 0 = 2*u - 2*a + 1160, u + a = 3*u + n. What is u rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190874868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 2:34 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 737, 1475, 2213?\nAnswer: 2951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 275, 793, 1759, 3323, 5635?\nAnswer: 8845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 22*d**2 - d. Let j be t(1). Let f = -0.29703 + 1.29703. Do j and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8510, -8539, -8598, -8687?\n\"Answer: -15*l**2 + 16*l - 8511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48951 = -8488*p + 7711*p for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-75 - -74)*(-1 - -5). Which is the third biggest value? (a) -4\/141 (b) 0.1 (c) h (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7109 + 7401. What is the highest common divisor of 365 and i?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 3 - 1)*(t + 2*t + 2*t) + t - 2*t + 2*t)*(14 - 20 + 42) to the form b*t + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -618860 divided by -5\nAnswer: 123772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minus -6.412?\nAnswer: 113.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10823 is divided by 10254?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 76920 * 13.49\nAnswer: 1037650.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i. Let y(p) = -3*p - 8. Let r be y(-6). Suppose -2*l - 2*o = -r, -4*o + 9 = -3. Let n(g) = g**2 - 3*g**l + 3*g**2 - 3*g**2. What is n(k(f))?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 75 + 35. Suppose 0*r = 4*r - 16. Suppose -2 = 5*t + 23, 4*t - 85 = -3*v. Solve -r*m = -5*z - 15 + v, -16 = -2*m - c*z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.77 and -36.24?\nAnswer: 27.9048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 19*j**2 + 6*j - 5*j**3 - 2*j - 21 + 10*j**3 - 3*j**3 - 3*j**3. What is the hundreds digit of n(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/47256 and 59\/716.\nAnswer: 47256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t. Let m(c) be the first derivative of 2*c**2 - 35. Give m(j) + 4*q(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1233002856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8653665 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 5*y + 9. Let t be p(-3). Suppose -t*d + 9 = -0*d. Suppose -67 = -d*q + 5. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*r**2 - 7975*r**2 - 5619*r**2 - 2818*r**2.\nAnswer: -16758*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mnmmnn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 22*d**2 - 27*d - 96. What is the remainder when p(-21) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3417, 3423, 3433, 3447, 3465, 3487, 3513?\n\"Answer: 2*j**2 + 3415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -59. Let g = 0.31 - 1.31. Let b = 4 - g. What is the nearest to -0.1 in k, b, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*h - 4*x = 53*h - 162*h + 56*h + 30, -22 = -2*h + x - 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-22))\/(((-150)\/(-990))\/(-5)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30992365837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 536?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 288684567*f**2 + 103152106*f?\nAnswer: 577369134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -58583253 from -991.\nAnswer: 58582262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-56)\/35*(-175)\/(-45). Let q = 6 + g. Let h = -5 + 9. Sort h, q, 0.3, 3 in descending order.\nAnswer: h, 3, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4*1*sqrt(85) + (sqrt(85)*-2 - sqrt(85) - sqrt(85) - sqrt(85))*3))\/((-3*sqrt(25) + sqrt(25))\/sqrt(5) + sqrt(5) - (sqrt(5) + -2*sqrt(80))).\nAnswer: -11*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4\/5 (b) -0.55 (c) -4 (d) -41\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrchrhccc. Give prob of sequence chh.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019190 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374 + 3*z - 3*z + 767 - 393 + 140*z**2 - 235*z**2.\nAnswer: -95*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*-4*(-1)\/(-6)*-1. What are the prime factors of -2 + 14\/a + 90\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 80010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -1\/137?\nAnswer: -1\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 777781476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1219 + -99. What is the greatest common factor of v and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 9 = 3*l. Solve 3*n = -t + l, 2*n - 22 = -4*t - 3*n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (319\/55 + -6)*-15. Solve -4*m - 3 = -t, i*t - 298 = -3*m - 319 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 16*q - 14*q + 1410, -5*k - 4*q = -3507. List the prime factors of k.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.74 - -0.26. Let h = -3885.5 + 3885. Which is the nearest to t? (a) -16 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5428 (base 16) in base 11?\nAnswer: 15206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:12 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 10*z - 13. Let v be f(-9). Calculate the remainder when 47 - -2 - v - -4 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129111?\nAnswer: 3, 43037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000091902 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 7 - -95) + -24?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*j - 6*j - j)*(0 + 0 - 1) to the form z*j + u and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, k: 3}. What is prob of picking 2 k?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 216, 1, 4, -6\/95, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4696747993 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 404 and 699728.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 5*r - 16, 3*r + 41 = 5*s + 8. Calculate the least common multiple of s and (0 - -1 - 4)*301\/(-21).\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152915 is divided by 1193?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 24*c - 132. Calculate i(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16090*r - 245 = -16087*r + 4*d, 2*r + 186 = 3*d. Let l = -0.1 + 0.2. Does l = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**4\/4 - 117*a**3 - 105273*a**2\/4 - 1415475*a\/2 + 21870000 = 0.\nAnswer: -75, 18, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*i + 5056557 + 10505433. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 10*w**2 - w - 11. Let r be c(-10). Let j be -4 + (-2 + 0)\/r. List the prime factors of 42\/4 + j\/4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 880, 8, 210.\nAnswer: -1, 8, 210, 880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -6. Let x = w + 2. Solve -5*a = -x*a - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -2\/157 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 25?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 3*u + 2. Let r be n(-3). Let l = 12 - 7. Solve -5 = r*t + l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (5 - -4) + -7 + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*a - 92328 + 267575. Is 97 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -932*j + 2792. Determine r(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-4 - 27\/(-3)). Let u = -5 + 10. Find the second derivative of -7*q**5 - u*q - 7*q**5 + 17*q**b wrt q.\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.981 - -0.019. Let q be (-2)\/(-3 - -9) - (-1)\/3. What is the nearest to 0.1 in 1\/4, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2, -5, 0, -2 in increasing order.\nAnswer: -24, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - i - 29, -3 = 2*k - 0*i + 3*i. Let r(j) = -j**3 + 8*j**2 - 16*j + 26. Let l be r(k). What is the biggest value in 1\/2, l, 0.7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -1907.\nAnswer: 48\/1907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from paeeap. What is prob of picking 2 p and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 12*g + 14. Let j be s(11). Solve 0*p + p = j*v - 6, 0 = -5*p - v - 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12021406 (base 7) in base 3?\nAnswer: 2000001210101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -54638.9 to the nearest 1000.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (32\/64)\/((45\/2)\/5)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 115 = 133. Let y(u) = -14*u + 32. Let f(z) = 5*z - 11. Give j*y(v) - 17*f(v).\nAnswer: -v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4\/11 - 785822*w**3\/11 + 77200134464*w**2\/11 - 2083830805656*w\/11 = 0.\nAnswer: 0, 27, 196442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-9) + (-1066580)\/(-306).\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 476735126 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1)*a)\/a*a**13)\/(a\/(a**(-2\/9)*a*a)*a)**(6\/17) assuming a is positive.\nAnswer: a**(659\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(440) - sqrt(440)*2*5) + ((sqrt(440)*1 - sqrt(440))*5 + sqrt(440) - sqrt(440) - sqrt(440)) + sqrt(440))\/((sqrt(270)*6)\/sqrt(3)) + -5)**2.\nAnswer: 10*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) - 77\/(-21). Suppose -411 = 5*z + 3*p, 3*z - x*p + 3*p = -255. What is the tens digit of (z\/(-35))\/(6\/40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkdzvkkdkvkdzvkk. What is prob of sequence ddkk?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.96 - -0.04. Let r = -368 - 121. Let j = 482 + r. Which is the smallest value? (a) 3 (b) h (c) j (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3 = -27. Suppose 2*n + 3*y = 19 + t, 3*n - 33 = -y. Solve 0*u + 2 = -u, 0 = -r - 4*u - n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12444680.5 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 9*h + 6. Let s(y) = 19*y + 13. Let b be 56\/(-35)*(-5)\/2. Give b*s(t) - 9*q(t).\nAnswer: -5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajj when three letters picked without replacement from lajlbcjlcl?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12421 + -8509. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**6\/10 + 21*g**5\/20 + 7*g**4\/2 + 4*g**3 - 14*g - 5. Factor s(c).\nAnswer: 3*c*(c + 1)*(c + 2)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 2*v - 38 - 14, 2*j - v - 24 = -0*v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -16, -33, -50, -67?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -4\/7, -3, 2\/923?\nAnswer: 2\/923","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -163, -239, -317, -397, -479?\n\"Answer: -k**2 - 73*k - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/131784 and 115\/6324?\nAnswer: 4085304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18510)\/(-600) + (-92)\/(-80) + -1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -12. Let g be (-4)\/8*l*8. Suppose -t + g = 3*t. Is -2\/9 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-20) - (-2)\/(-8). Let r(k) = -k - 6. What is r(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3096 is divided by 156.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4981150.73885728211 + -0.25144271789. Let b = w - -4980950. Let d = b + 201. Round d to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 2*m - 3. Let c be q(2). Suppose c*g - 52 = y + 3*y, y = 4*g - 35. Solve 2*j - g = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 - -1.1. Let o = -0.6999981 - u. Round o to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -26 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.2 - 4.35. Let o = b + 0.25. Suppose -w = -s + 3*w + 11, -s + w + 5 = 0. What is the third biggest value in -4, o, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(132) - sqrt(132)*-2 - sqrt(132)) + sqrt(132)) - sqrt(132))\/sqrt(11))\/((sqrt(6) - sqrt(48)\/(sqrt(72) - sqrt(8))) + sqrt(216)).\nAnswer: 28*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -75264 divided by -64\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46413 and 50787?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/21 - 13\/15. Sort m, -4\/3, 5 in descending order.\nAnswer: 5, m, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r**2 + 29*r. Let k(m) be the first derivative of -m**3 - 5*m**2 - 2768. Determine -4*f(q) - 11*k(q).\nAnswer: -3*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 596843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*f**5 - 10*f**2 - 380*f + 2 wrt f?\nAnswer: 300*f**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*3\/(-27))\/((-1)\/6)*2968\/(-371).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.91908 litres to millilitres.\nAnswer: 43919.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**4 + 221*c**3 + 2 + 3*c**2 + 0*c**4 - 225*c**3 as g*c**3 + v*c**2 + z*c + q + h*c**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -0.15162448.\nAnswer: -0.04837552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -7*c**5\/10 - c**4\/3 - c**3\/3 + 5*c**2\/2 - 28*c. Is f(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, 113, 266, 485, 770?\n\"Answer: 33*j**2 - 12*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116787*r**3 + 11684*r - 2 wrt r?\nAnswer: -700722*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**(-2\/3)*s)\/s)**(7\/11))**48 assuming s is positive.\nAnswer: s**(112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 43*u**2 + 19*u - 813. Let t be m(43). Determine l so that 0 + 2\/17*l**t + 2\/17*l**3 - 2\/17*l - 2\/17*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147 plus -576?\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 45\/8 of a week?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x = 60*x - 792. Solve 14 = -4*p - 31*o + x*o, 4*o - 3 = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 - 5*k - 3. Let o be h(5). What is the remainder when ((-10)\/(-4))\/(2\/24) is divided by o\/(-4 - -6*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 7*i**2 - 2*i - 31. Is t(8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2746\/5 or -548?\nAnswer: -548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4652689 >= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = h + 22, 5*a - 7*a = -4*h - 16. What is the least common multiple of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjttjtttj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178946 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - w - 2*w**3 - 2 + 2 - 1. Let h be 4\/(-14) - 2\/(-7). Calculate g(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/5)*y)\/y**(1\/9))\/(y**(-1\/3))**10 assuming y is positive.\nAnswer: y**(163\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*r + 40 + 75. Suppose 5*n + 7*u - 6807 = 9*u, 6803 = r*n + 2*u. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*r + 76*r + 5665 = 50*r + 57*r for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = f - 8, -177*f + 2*r + 47 = -172*f. Suppose -4 - 2 = o. Let y be ((-3)\/2)\/(1\/o). Is f bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90504118 take away -22323?\nAnswer: -90481795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43218 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 11) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -104*y**2 + y. Let r be 1\/(10\/35 - 9\/7). Let t be v(r). Let x be 73\/t + -2 + (-52)\/(-20). Is 0 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260083*q**2 + 5*q + q - 260077*q**2.\nAnswer: 6*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*u + 4*s, 0*u + 4*s - 4 = -3*u. Suppose -154 = -u*z + 2*z + 3*b, 340 = -4*z + 2*b. Let t = -47 - z. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + w + 37. Suppose -5*a = -a. List the prime factors of h(a).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 5*t**2\/2 - 11*t + 7. Let l be k(8). Let z(w) = 7*w - 13*w**2 - 17*w**2 + l*w**2 - 5. Give z(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 415.045106 to 1 decimal place.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/8*(-10 + 2). Let m be 0\/w - (-4 + 0). Let l be (-1)\/(-1)*(m + 1). Solve 0*q + q - l*k = -14, -10 = -5*k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13608 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p*p**0)\/p)**(2\/101))**(-3))**(-47))**(31\/2) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - j = 0, 32 = -8*c + 103*j - 99*j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2*n)\/n**7*n\/n**2*n*n**6)\/(n**10\/(n**(-5)\/n*n))**(-38) assuming n is positive.\nAnswer: n**572","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxjx when four letters picked without replacement from {w: 5, x: 8, j: 5}.\nAnswer: 35\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0, -3 in decreasing order.\nAnswer: 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Let h(l) be the third derivative of l**4\/24 - 5*l**2. Let k(u) = -3*h(u) + 6*j(u). Let q(p) = -p. Determine q(k(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*v - 6. Let m be ((-20)\/25)\/(v\/(-15)). Factor 45*f + 6 + 42*f**m - 17*f**2 + 14*f**2.\nAnswer: 3*(f + 1)*(13*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 + -35)*(-6)\/(-5 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven sixths of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**3 + 7*y**2 - 7*y - 2. Let q(b) = 2*b**3 + 4*b**2 - 4*b - 1. Let d(u) = -4*j(u) + 7*q(u). What is the derivative of d(s) wrt s?\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(5*sqrt(32)\/sqrt(4)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/3, 2\/9, 5.\nAnswer: -2\/3, 2\/9, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 5*w + 7. Let u = 724 + -730. Let a(p) = -3*p**2 + 9*p + 13. Calculate u*a(j) + 11*y(j).\nAnswer: -4*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45\/7 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 11*r + 1. What is the tens digit of v(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, -145, -735, -1971, -4069, -7245, -11715, -17695?\n\"Answer: -36*m**3 + m**2 + 89*m - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -501, -1116, -2135, -3552, -5361, -7556, -10131, -13080?\nAnswer: -16397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 3 + 3)*(-864*a - 744*a - 1780*a)*(4 - 2 - 1) to the form j*a**2 + o*a + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 7*x - 12. Solve -16 = -3*l + 2*i + 2*i, 24 = 5*l - x*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -382285102*l**3 - 3*l**2 - 225504201.\nAnswer: -2293710612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -29*f - 101. Let i be g(-4). Solve -t + 4*t = -i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1856.8*0.2373\nAnswer: 440.61864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-11)*(-117)\/195?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.91 - 506.09. Let m = 515 + s. Let a = 2\/29 + 83\/58. Sort a, m, -5\/3 in increasing order.\nAnswer: -5\/3, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 2379*v**2 - 1186*v**2 - 1193*v**2 - 3*v**3.\nAnswer: -3*v**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3621 or 2\/1155?\nAnswer: 2\/1155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1071 is divided by 47.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * -245.\nAnswer: -7105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767761799?\nAnswer: 7, 61, 1798037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -33225249 and -33225246 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6744.46 milligrams to tonnes.\nAnswer: 0.00000674446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1379\/44 - 342\/11. Let o(f) be the third derivative of 0 + 11*f**2 + 0*f - 1\/6*f**3 + c*f**5 - 1\/24*f**4. Give o(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7f896 (base 16) to base 13\nAnswer: -153a0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182740 (base 9) in base 7?\nAnswer: 5324403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*j - 0*j. Let h = -133.4 - -145. Let s = h - 12. Put j, s, -1\/3 in ascending order.\nAnswer: j, s, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/12))**22 assuming i is positive.\nAnswer: i**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-four fifths of a tonne?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -931 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a - 216?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - 406. Let c = -178 - j. Let g = c - 100. What is the greatest common divisor of 30 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*p + 13 = 3, -4*p = q - 30. What is the smallest common multiple of q and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 26293448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -c + 25. Suppose -10 = -2*u + p, -c = -5*u + 2*p + 3*p. Solve -3*x + 5 = -u*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/2, 0.02, -4, 0.1 in increasing order.\nAnswer: -4, -0.1, 0.02, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8 - g + 0*g**2 + 0 - g**2 + 7. Is 4 a factor of n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:32 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784)*-1*-1 + ((sqrt(784) + -1*sqrt(784))*3 - sqrt(784)))\/((sqrt(7)*2*6 - (sqrt(7) + sqrt(14)\/sqrt(8)))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21a69 - 27?\nAnswer: 21a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10 = 0, -7*q - 47 = -x - 3*q. Let t = -45 + x. Calculate the remainder when t is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5, 0 = 2*n - d + 5*d - 154. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + 18. Suppose 0 = -4*d - i + 112. Suppose j = d + 2. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-13) + (8 - (-510)\/(-65)). Solve 0 = 5*x - c + 3, c + 0*c = v*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -1\/630*j**7 + 13*j + j**2 + 1\/180*j**5 - 1\/360*j**6 + 1\/72*j**4 + 0*j**3 + 0. Factor g(q).\nAnswer: -q*(q - 1)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42 - -2) + (-1534 - -1527).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1345347415 - 19.\nAnswer: 1345347396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3417467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -901, -991, -1069, -1129, -1165, -1171, -1141?\nAnswer: -1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-174 - (18 + -59)) + (4 - 9)?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*s - 8541 = -5*g - 64*s, 0 = -2*g - 5*s + 3405. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -0.4, -1, -4, -2 in ascending order.\nAnswer: -45, -4, -2, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1567*g**2 + 771*g**2 + 4*g + 768*g**2 to r + j*g + f*g**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.55 - 0.04. Round h to one dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.066 (c) -141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 1405 = -y + 4*y + 88*n - 9, -5*y + 9*n = -159 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b - 60. Suppose -4*x = 2*l - 52, -b = -5*l - 3*x + 150. Let q be 21\/6 - 1\/(-2). What is the highest common factor of q and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*l + l + 8, 0 = 3*b - 3*l - 12. Suppose -b*k - 12 = -6*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 204 = 4*b, -5*b - 7 = 13. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6381*u**2. Let n(o) = 6*o - 1. Determine r(n(s)).\nAnswer: -229716*s**2 + 76572*s - 6381","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 2*z. Suppose 5*h + 2*i = 6*i - 10, -h + 2*i + 4 = z. Is -3 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 - 19010?\nAnswer: -18600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/10 - 21\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13829*g**5 + 27*g**3*i**2 + 5739*g**2*i**2 - 47*g**2*i wrt g?\nAnswer: 829740*g**2 + 162*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = m + 11, -13*w + 3 = -5*m - 16 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/125)\/(((-2)\/5)\/((-270)\/135))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11220 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -117 - 109?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -5) + 6 + -12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9789 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(76) + -2*sqrt(76)*-2)\/(sqrt(28)\/sqrt(112)*6).\nAnswer: 32*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 1292. Let f(t) = 2*t. Give o(f(a)).\nAnswer: -2*a + 1292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 11*a + 15. Let p be m(-11). Let h = 21 - p. Suppose h*x = 3*x + 18. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**2 - 14*s + 10. Let j be 9\/7 - 1 - 561\/(-119). Is h(j) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w - 11. Give p(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2 + 1. Let u be (38\/(-4))\/(n\/2). What is the greatest common divisor of 209 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 1413*v + 5700.\nAnswer: -3*(v - 4)*(v + 475)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21652.43 minutes?\nAnswer: 1299145800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -7. Let v(q) = q**2 + 2*q - 447. Let w be v(-22). Is 2661\/21 - (s + 23\/w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1120, -4460, -10024, -17812?\n\"Answer: -1112*w**2 - 4*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 848489549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuo. What is prob of picking 3 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502812.\nAnswer: 2, 3, 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*m + 543*m = z - 80, 26*z - 2178 = -3*m for z.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 30 + 6)*(9*o**2 + 6*o**2 - 5*o**2) to the form n*o + k*o**2 + x and give k.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0328 - -0.1672. Put z, -11, 0.08, -1 in decreasing order.\nAnswer: z, 0.08, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 + -7.07. Let n = 11379\/7 + -1626. What is the second smallest value in 4, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207774859.\nAnswer: 207774859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 8.9, -0.1, -4, -2\/23?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.5, -92, -1, 3\/2 in ascending order.\nAnswer: -92, -1, 0.3, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -10. Let b(k) = 140630*k**2 + 9*k + 4. Let p(q) = q**2 - 1. Let d(c) = b(c) - 4*p(c). Let m be d(z). Round m to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141599*i**3 - 20*i - 2521?\nAnswer: 849594*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1251 and 6?\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 13 + 1)*(0 - g + 0) - 97*g + 273 - 543 + 269 as n*g + h and give n.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/7, 1\/79, -0.5?\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2450 = 846*d - 796*d for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -16140 at most as big as -5955116\/369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + n**3 - 5*n**3 + 5*n**3 - n**2 - 1. Let c(y) = 2*y**3 + 4*y**2 - 2*y - 3. Let a(w) = c(w) - 3*z(w). What are the prime factors of a(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 7a78?\nAnswer: 7a7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*h - 6272 - 5208 = 0. Let a = 21 + 35. Let p = h - a. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(sqrt(1900) - (sqrt(1900)*2 + sqrt(1900)))*6 + 1)**2*5*-4*-3.\nAnswer: -172800*sqrt(19) + 393984360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 357770 divided by 2?\nAnswer: 178885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 6*z**2 - 3*z**2)*(78 - 4*z - 143 + 70).\nAnswer: -4*z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 1\/9, 2, 0.4, 29, -3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -2*t. Suppose -z = -4*z - 78. Let r = -22 - z. Solve 4*b = -t*y + 33, 5*b - r*y = y - 15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/((38915\/70047)\/((10\/6)\/(-1))).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4))**16\/(x**(-1\/3)*x)**10*(((x*((x*x**(-1))\/x)\/x*x*x)\/x*x)**(1\/68))**(-3\/37) assuming x is positive.\nAnswer: x**(-80521\/7548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wguwwwgwwwpg. What is prob of sequence gpgw?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12935, 11511, 9139, 5819?\n\"Answer: -474*k**2 - 2*k + 13411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -9 (b) -0.2 (c) 1\/11 (d) 2 (e) 0.6 (f) -7 (g) 0.02024\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 - 4*y**4 - 2 + 3*y**4 + 2715*y - 74*y**3 - 2715*y as a*y**4 + o*y**3 + m*y**2 + k*y + c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, v: 2, a: 3, x: 2, o: 2, g: 4}. What is prob of picking 1 a and 2 v?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 + u**4 + u - 2*u**4 + 0*u**4 + 2*u**3 to the form m*u + q*u**3 + d*u**4 + j + z*u**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 3*r**2 - 3*r + 5. Let o be d(5). Suppose w - 4*w = 0. Suppose w*k + o = 5*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 4*t + 4*t + 0*t**2 - 5. Calculate a(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-39)\/65 - 14\/10) + 2. Suppose 0 = -5*l + 3*k + 153, 0 = 3*l - i*l + 4*k - 86. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539 - 541 = 2*u + 2*u + m, -5*u + 1 = 3*m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a = -4*d + 92, -2*a + 2933*d = 2928*d + 115 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.5 rounded to 1 dp?\nAnswer: -79.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 53. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136 divided by 55\nAnswer: -136\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8) - (-1055)\/20. Let d = p + -47. Find the third derivative of 18*l**6 + 3*l**6 + 21*l**2 + 0*l**d wrt l.\nAnswer: 2520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 + 12. Let i = -41 - f. Solve -3*x + 3 = -i*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 4*z + 8*z)*(8 - 10 + z + 21).\nAnswer: 10*z**2 + 190*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 14. What is the lowest common multiple of 18 and l?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 0, 10 in decreasing order.\nAnswer: 10, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -5*d**4\/6 + 25*d**3\/3 - 78*d**2. What is the units digit of r(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 31. Suppose -p*d = -5*d + 8. Suppose 0 = -3*x + d*n + n + 31, -2*x + 4 = 5*n. Let l(r) = -r**3 + 6*r**2 + 7*r + 6. Calculate l(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.229 in 5, -0.3, -6239?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 884?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93342356 and 31545?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -6, -4, 2, -3 in increasing order.\nAnswer: -6, -4, -3, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193, 372, 535, 676, 789, 868, 907?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 3\/7, 2\/13 in descending order.\nAnswer: 42, 3\/7, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 0)*28\/(-8). Suppose -1 = 4*t - i. Suppose -6 = -p - 4*a + 14, -t*p = 5*a - 145. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 6*k**3 - 2*k**3)*(11 - 11 + 22*k) - 3*k**3 + 4*k**4 + 3*k**3.\nAnswer: 70*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 + -169. Let s be -4 + 0 + (-3 - (-275 + -3)). Let l = a + s. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 o, and 1 l when four letters picked without replacement from goloeoolegoleeeeg?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -1. Let m = k - 0.06. Let n = -0.56 - m. Round n to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210495936 divided by 7.\nAnswer: 30070848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43, 54, 61, 64, 63, 58?\n\"Answer: -2*z**2 + 17*z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -88, 2\/5, 1\/5.\nAnswer: -88, -5, 1\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*(sqrt(112) - sqrt(112)*2))\/(sqrt(8)\/sqrt(2)*4)*-1.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 16374*m**2 + 2521732*m - 2505360.\nAnswer: 2*(m - 8030)*(m - 156)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 234325027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*a - 48, -7*z - 5*a + 54 = -3*z. Let s = 227 + -128. What is the highest common factor of z and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 15 (c) 4\/3 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*u + 329*u - 12209 = 0. What is the remainder when 215 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 - 4 - 39*z**3 + 39*z**3 + z**4 + 0*z**4 as g*z**2 + a*z**3 + j*z + b + t*z**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*g**3 + 3*g + 4*g**3 + 6*g wrt g.\nAnswer: 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.01638 - 4760.\nAnswer: -4771.01638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 18 = 2*b. Let l(u) be the second derivative of u**4\/12 + u**3\/2 + u**2 - 4*u. What is the units digit of l(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by (-2)\/(2*2\/(-95 - 1)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxg. What is prob of picking 1 x and 1 g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**4\/4 + 5*g**3 + 27*g**2\/2 + 5*g - 772. Give a(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-21))\/(-4 - (-125)\/30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1562 and 4544.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 36678.9585 to the nearest ten.\nAnswer: 36680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -15, 5*h = 3*z - 4*z - 81. Is 10*7\/(z\/(-12)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2052503 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3*c - c)*(-9*c + 4*c - 20*c).\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 18912 = 4*t, -3*i + 23650 = 2*i + 5*t. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87 + -86. What is the closest to v in 1\/6, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 5*o - 6. What is the remainder when k(4) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(1650\/(-50))\/990.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98469539 is divided by 1660?\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + y**2 + 12*y + 7. Determine s(-3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -2323 in decreasing order.\nAnswer: -2, -5, -2323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 13*w**6\/30 + 17*w**5\/20 + w + 2. Suppose -y + 1 = 3. Let f(v) = 3*v**4 + 4*v**3. Let i(r) = y*g(r) + 9*f(r). Factor i(s).\nAnswer: s**3*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/6 + 9*v**2 + 112*v - 784\/3.\nAnswer: (v - 2)*(v + 28)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4710860100+-0.5\nAnswer: -4710860100.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 587*y - 4112. Let o be u(7). Sort -93, o, -1 in decreasing order.\nAnswer: -1, o, -93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zggzzzzgzggzzzzzgzz. What is prob of picking 4 g?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -428.97965406 + 428.98. Round r to 5 decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -9*t. Suppose -r - 3 = -t, 2*r + 14 = 4*y. What is the third biggest value in -3, y, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 4*l. Let u be b(3). Suppose 520 = u*v - 539. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 49192*a. Let i(o) = 5*o - 3. Calculate c(i(n)).\nAnswer: 245960*n - 147576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*n**3 + 6*c**2 + 70*c*n - 9130*n**5 wrt n.\nAnswer: 12*c**2*n - 182600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 11 = -35. Let n be 3\/4*(f - 4). Solve 10*i - 5*i + 4*x - 1 = 0, -n*i + 8 = -5*x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 5*z - 92. Suppose 4*r = 2*r + z. Let p be (1 - 4)*8\/(-6). Solve -j = p*j + r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 11*t**2 + 109*t + 324. What is the least common multiple of r(18) and 1264?\nAnswer: 11376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30903030 + 30903109.999949. Let s = r + -80. Round s to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6000 + 1445?\nAnswer: -4333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = 2*o. Let y(d) = d**2 + 3*d - 23. Let f be y(-7). Which is the nearest to o? (a) f (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjw when three letters picked without replacement from {j: 5, w: 5, e: 1}.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95.29 + 0.4.\nAnswer: 95.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9802 and 0.08781.\nAnswer: 860.71362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/27 - 404\/(-36))\/1. Suppose -3*k = 2*w + 3, 5*k - 3*w = -w + y. Put 18, -5, k in ascending order.\nAnswer: -5, k, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118340, 118339, 118338, 118337?\nAnswer: 118336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -175*d + 10257. Calculate the remainder when 7700 is divided by g(58).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 5*s**2 - 4*s + 6. Give i(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + -22 + 20 + 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*4\/(-560))\/((-4)\/210*21).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -305*v + 6088. Determine y(20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o**2 + 18*o**2 + 3*o**2. Suppose 58*q - 61*q + 30 = 0. Let w(k) = k**2 + k. Let i(m) = -12*m**2 - 10*m. Let f(j) = q*w(j) + i(j). What is f(y(d))?\nAnswer: -512*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 336037*o**2 + 672071*o + 336035.\nAnswer: (o + 1)**2*(o + 336035)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 8 - 10*x + 6*x)*(-3 + 0 + 2).\nAnswer: 3*x - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + x + x = -2, 3 = -3*d - 3*x. Sort 3, d, -2 in ascending order.\nAnswer: -2, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165 - 62. Which is the second biggest value? (a) h (b) -2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1451240293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 42746 and 24.4.\nAnswer: 42770.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5\/3 + 59*u**4\/3 - 170*u**3\/3 + 112*u**2\/3 = 0.\nAnswer: 0, 1, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4287, -17105, -38597, -68889, -108107, -156377, -213825?\nAnswer: -280577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/8)\/i)\/(i\/((i*i**(3\/11)*i)\/i))*(i**10\/i)\/(i**(-1\/23)\/i) assuming i is positive.\nAnswer: i**(19615\/2024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.3 - 11.5. Let q = s - 21.8. What is the second smallest value in 3, 5, -1\/3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 18 - 4 - 1442*c as o + n*c and give n.\nAnswer: -1442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4130 to the nearest 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-175)\/(-1575) - (-20)\/(-18). What is the closest to 4\/17 in -4\/5, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, f: 5, m: 2}. What is prob of sequence fm?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 2*l**2 - 11*l - 59. Give r(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1593154432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 11*m**3)*(-2 + 5 - 2) - m**3 + 3*m**3 + 5*m - 2*m.\nAnswer: 13*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 22*j = -19*j + 26, -4*h + 2 = 7*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -8\/3 - 2\/3*a**4 + 8\/3*a - 10\/3*a**3 + 10\/3*a**2 + 2\/3*a**5 = 0. Calculate a.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*((-1*sqrt(17) - sqrt(17)) + -2))**2.\nAnswer: 132*sqrt(17) + 733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c - 2*c - 15 - c + 10*c. Let r be b(9). Solve -r*l = -2*h - 10, 0 = -8*l + 4*l + 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.02*0.2\nAnswer: -1.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 166 and 17596.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 3*r, -2*g - 8*r = -10*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = 2*f - 13, u = -3*f + 18. Let z be 4*(-2 - f\/(-2)). Let m be (-3)\/z*532\/(-21). Calculate the greatest common factor of m and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165662 is divided by 643?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8967 and -1162168.8.\nAnswer: -1153201.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 15*152\/(-513)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7017852 divided by -149316\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjajtjjaaja. Give prob of picking 3 j.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9\/52 - 1\/13. What is the nearest to m in -1\/2, 4, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 6. Suppose 0 = -z, t*h - 8*h - 5*z = 110. What is the smallest common multiple of (-6)\/(-33) - 216\/h and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 352847 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -25685*r - 513716. Determine u(-20).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 t, and 1 a when four letters picked without replacement from {h: 1, a: 2, t: 1, q: 1, e: 1, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Suppose -5*r + 16 + 149 = q. Suppose -5*j - f = -14, j - 3*f + 3 = 3*j. Calculate the greatest common factor of j and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 6*h + 7. Let u be 165\/10 + (-2)\/(-4). Let z = u + -15. Calculate the least common multiple of z and x(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -1087*p**3\/3 + 707*p**2 - 1128. Find the second derivative of b(l) wrt l.\nAnswer: -2174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u + 33. Give c(21).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 1\/3 (c) 5 (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = -p. Let r(l) = l**2 + 2*l - 5. What is the units digit of r(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49 - 39*k + 49)*(-3*k + 3 - 5 + 3*k**2 + k) to the form h*k**2 + i*k + u + b*k**3 and give i.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = -4*j + 6*j + r, 636 = 5*j + 3*r. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -d + 8*t - 12, -4*t + 12 = 0. Which is the nearest to 0? (a) -3.2 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -45, -141, -301, -531, -837, -1225, -1701, -2271?\n\"Answer: -q**3 - 26*q**2 - 11*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17640 - 17472*j - 2\/5*j**3 - 838\/5*j**2.\nAnswer: -2*(j - 1)*(j + 210)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, x: 2, r: 1, i: 2, u: 5, m: 3}. What is prob of picking 1 r, 2 m, and 1 x?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, 25, 62, 119, 196, 293, 410?\n\"Answer: 10*h**2 - 13*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14*(1 + 6). Suppose 30 - 2 = j*q. Solve 4*x + 2 = -5*f, -2*f - 3*f - q = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p + 15 - 15)*(-2*p + 2*p + 2*p) + (1 + 0 + 1)*(0*p + 5*p**2 + 0*p).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 24 = 0, -2*y - 2*v - 5 = -7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1705523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 21*n**2 - 921*n - 6450 = 0.\nAnswer: -43\/7, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/5 - 6*t\/5 - 9\/5 = 0. Calculate t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.3 - 2.3. Let y = -24 + v. Let q = -9.999968 - y. Round q to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 850.8749ml in litres?\nAnswer: 0.8508749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3)\/p)**(-7\/12) assuming p is positive.\nAnswer: p**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -21, -51, 3, -4.\nAnswer: -51, -21, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/90500 and -151\/3750?\nAnswer: 1357500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 = 4*l, g + 3*l - 7*l = 0. Suppose t = 68 - 27. Let a = t - 38. Put 2, g, a in descending order.\nAnswer: a, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -8*n - 20. Suppose -z - 6*t - 14 = -t, 5*z = -n*t + 30. Solve -5*d - z - 4 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8, -59, -206, -497, -980?\n\"Answer: -8*v**3 + 5*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 3*g + 4. Let j be r(4). Let l be 6 - (7\/(2 - 1) - 5). Suppose l*w - 24 + j = 0. Solve 0 = w*k - 6*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0449+98293.24032\nAnswer: 98293.19542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*z - 17*z + 0 + 1)*(4*z - 3*z - 3*z) + 1031*z**2 - 1003*z**2 - 16 - 4.\nAnswer: 24*z**2 - 2*z - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 8*l**2 - 11*l - 13. Let n be z(-9). Suppose -21 = -n*k - 6. Solve -2*j + k*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/10, -4, 3\/4, -0.1, 1167, 6?\nAnswer: 1167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2*0\/10)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 21640000 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + -6 + (-3 - 40 - 40)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from hiiojjhohhhjoih?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 0.3 (c) -24 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2341 (base 5) to base 2.\nAnswer: -101011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101011001110000111 (base 2) to base 7.\nAnswer: -15434316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-66)\/(-3))\/((-16)\/(-4648)) + -8 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**5\/60 + b**4\/12 - 62*b**3\/3 + 42*b**2. Let o be s(-12). What is the nearest to -0.1 in 23\/7, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 0, -2, -0.4, 30 in ascending order.\nAnswer: -2, -0.4, 0, 2\/19, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 - 162*b**2\/5 - 868*b\/5 + 480.\nAnswer: -2*(b - 2)*(b + 8)*(b + 75)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*p - 18, -476*p + 477*p + 12 = i. Put 3, 123, p, -1, 2 in ascending order.\nAnswer: p, -1, 2, 3, 123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-12)\/m)\/m)\/m)\/((((m\/(m*m\/m**(-7))*m)\/m)\/m)\/m)*m**(-12)\/m**(15\/4) assuming m is positive.\nAnswer: m**(-83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + f = -5, -4*t + f - 11 = t. Let b = 9 + t. Let v be ((-2)\/(-2))\/(-1)*-77. What is the greatest common divisor of v and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3062 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*(20\/2 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69914 - 35150 = 2610*t - 40926 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6365 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: Differentiate 174*x**2 + 124*x + 441379 wrt x.\nAnswer: 348*x + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - -1. Let n(p) = 2*p**2 + 3*p + 4. What is the remainder when v is divided by n(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -27*u - 176. Let t be m(-7). Suppose l - 5*z = 20, -5*l - 3*z + 80 = -l. What is the remainder when (567\/45 - t) + (-784)\/(-10) is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = -15*c - 50. Suppose -c = -22*r + 12*r. Let p(q) = -5*q - 5. Let s(i) = 3*i + 3. Give r*p(m) + 8*s(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s - 17 = 2*k, -s + 15 = 5*k. Suppose -k*q + 70 = q. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -619, -2\/5, -5, 62\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**6\/6 - r**3 - 7*r. Find the second derivative of l(y) wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/37? (a) 2\/29 (b) -39 (c) 0.1 (d) 5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 802*y - 1. Let f be p(1). Let x be 2\/13 - f\/(-117). Suppose 297 = j - x*n + 3*n, -4*j + 1167 = 5*n. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-5*6)\/sqrt(9))**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niqvpninzzinvinin. Give prob of sequence inp.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -4210\/3269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13624 = -866*n - 6018 + 4012 - 16412 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 53*b**2 + 26*b + 303. List the prime factors of y(-8).\nAnswer: 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 - 16*m + 10. Let r be p(0). Let s(g) = -g**3 + 6*g**2 - 5*g + 4. Let v be s(5). Solve -2*u = -v*t + 18 + r, 3*t - 31 = 4*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 15 - 2)*(-4*f + 0*f + 5*f) + 4*f - 7*f + 4*f + (0 + 0 + 1)*(2*f + 0 + 0).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 570805320 to the power of 1\/3, to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -189.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 0*l + 80. Suppose q = -4*q + l. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 186 = 134. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/4 + 5*h**3 - 17*h**2 + 6*h + 796. Calculate i(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/27 - 23\/54. Let h = -905\/508 + 385\/127. Put 3, c, 0.7, h in ascending order.\nAnswer: c, 0.7, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 562793864*d - 680541916 with respect to d.\nAnswer: 562793864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*z - 2*t, 2*z + 4 + 12 = 4*t. What is the units digit of ((-8)\/(-6))\/(z*(-6)\/1890)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000073217 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11*k + 113. Let n(o) = -5*o - 56. What is 6*b(i) + 13*n(i)?\nAnswer: i - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + sqrt(10)\/(sqrt(2)*2) + 3)*3.\nAnswer: 3*sqrt(5)\/2 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3))**(-49)*((m*((m\/m**3)\/m)\/m)\/m)\/m**(-5\/6)*(m**2\/m**6)**(-32) assuming m is positive.\nAnswer: m**(847\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {i: 1, p: 1, t: 1, a: 1, j: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3780850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39559283.4 rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 44. Suppose -5*x + k + 21 = 0, -x + 7 = -k + p. Suppose -3*b + 137 - 736 = -x*z, z = -5*b + 167. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 12*s + 40. Let i be g(-6). Let v(u) = -7*u - 5*u**2 + 0*u**3 + 13*u - 2 + u**3 - 3*u. Determine v(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2*a - 8, 4*a - 314*h + 315*h = -16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*z - 0*p + 59, -2*z + 89 = -5*p. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -74*f - 439. Let v(x) = 1137*x. Calculate u(v(j)).\nAnswer: -84138*j - 439","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/19786291?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 12*v**2 + 14*v + 24. What is the units digit of c(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 7243786?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-55)\/12 - -5)*(-9)\/(-15). Which is the biggest value? (a) p (b) -4370 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 + 5*v**3 + v**3 + (1 + v - 1)*(25674*v**2 - 2*v - 2*v - 25673*v**2 + 42).\nAnswer: 10*v**3 - 4*v**2 + 42*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2699*n**2 - 2745*n**2 + 5472*n**2.\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 36 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1227 = -6*g + 1161. Let n = -150 + g. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.77927ms in microseconds?\nAnswer: 90779.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9436 - 5612 = -396*i for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8*8.8147.\nAnswer: -15.86646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 48. Suppose -8*f + c = -5*f. Solve 0 = -j - 0*j - u - 7, -f*j = -4*u - 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from {w: 3, r: 1, a: 4, z: 2, o: 1, f: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6457876 is divided by 2369.\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1164600, 1164533, 1164454, 1164357, 1164236, 1164085?\nAnswer: 1163898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 344 - 130131?\nAnswer: -126454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -3. Is g < -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 82*n - 214. Determine o(4).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 446 + 98. Suppose -4*i = 3*m - n, 3*m - 49 = -2*i + 9. Calculate the least common multiple of 24 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000113 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**4 + 10*t**3 - 12*t**2 - 10*t + 10. Let c = 77 - 76. Let x(q) = -q**3 + q**2 + q. Let i(r) = c*k(r) + x(r). Suppose i(p) = 0. Calculate p.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/67380 and -133\/161712?\nAnswer: 808560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233, 246, 275, 326, 405, 518?\nAnswer: 671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*w + 345 - 11610 = 0, -3*w = -3*a + 8451. List the prime factors of a.\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228 a factor of 3439704178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 4. Let o be h(0). Suppose -x + 0*k - 3*k + 10 = 0, -o*x = -k - 79. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ysyyynnscnssyns.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -79 (base 12) to base 4\nAnswer: -1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 2. Let b = -21 - -14. Let w be s(b). Solve 25 = -w*g, -5*i - 2*g = -0*i + 25 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 397.000048 - 397. What is f rounded to six dps?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 174478.204 to the nearest one thousand.\nAnswer: 174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63858.\nAnswer: 2, 3, 29, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4844200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11676287?\nAnswer: 7, 911, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/333 and 26\/11?\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49172*h + 49195*h - 147541*h + 49175*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 x, and 1 n when four letters picked without replacement from {q: 1, x: 2, r: 2, s: 1, p: 1, n: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -16. Let s(w) = -11*w**3 + 4*w - 7. Let o(b) = -22*b**3 + 7*b - 13. Let t(k) = i*o(k) + 7*s(k). Differentiate t(u) wrt u.\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**3 + 510*t**2 + 258*t - 256 = 0. Calculate t.\nAnswer: -1, 1\/2, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -12*j + 177. What is the remainder when t(8) is divided by (28\/(-5))\/((-3)\/15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 421\/6 - 70. Let r be (-5)\/((-15)\/(-8)) - -2. Which is the nearest to 2? (a) r (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.015 + 0.015. Which is the biggest value? (a) d (b) -0.5 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 j, and 1 z when three letters picked without replacement from zhebjjzbebbehhbqeb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + i + 49, -4*y = -0*y - 3*i - 51. Let t be (-2)\/8 + 243\/y. Let u be (0\/(-1) + -5)*-2. What is the highest common divisor of u and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5186083 and 651.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 540803867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.1 + 17. Sort n, -0.21, 1 in increasing order.\nAnswer: -0.21, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -476, -1656, -3662, -6530, -10296, -14996, -20666?\n\"Answer: -6*w**3 - 377*w**2 - 7*w - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*g + 60*g + 3836 = -26*g for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2276 - 2272. Suppose -5*f = -3*a + 72, 2*f + 20 = -f - 4*a. Let r be (f\/10)\/(3\/(-15)). What is the smallest value in m, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 2, 0.06, 15?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*l**5 - 4*l**2 - l + l + l**5 wrt l.\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a hour in seconds?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*g - 2*g = 0, -2*q = -5*g. Suppose q = 3*w - 0 + 3. Is w at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4 - 115\/20. Let w = 0 - f. Which is the second biggest value? (a) w (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5014006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4938*i + 74067. Let u be l(-15). Let t(x) = 2*x + x**3 + 3*x**2 - 3 + 0*x + 4. Determine t(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22.011 and -390?\nAnswer: 8584.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8090?\nAnswer: 2, 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**7\/420 - n**6\/120 - n**4\/3 + 3*n. Let r(s) be the third derivative of p(s). Find the second derivative of r(y) wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 677 and -672.51.\nAnswer: -455289.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 - 72 = 5*w - 5*t, 0 = -10*w - 3*t - 105 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(15) + (sqrt(15)*2 - sqrt(15)))\/sqrt(3) + (sqrt(5) - (sqrt(25) + sqrt(225))\/sqrt(5)) - sqrt(10)\/(sqrt(98)*2 - sqrt(98))*-4))*-3.\nAnswer: -9 + 9*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2. Let r(s) = -4*s**2. Let y(l) = -6*h(l) + 4*r(l). Let g(m) = -12*m**2. Give g(y(o)).\nAnswer: -48*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5535550 + 3?\nAnswer: -5535546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*x - 21960 = 109*x. Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 21*12\/18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: cc (base 13) to base 6\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -67 + -819?\nAnswer: -884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/123? (a) 2\/11 (b) -5 (c) 2 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 7*v**2 - 6*v + 5. Let x be c(6). Let a be -1 + (-5)\/x + (7 - 2). Let g = 53 - 30. Solve 4*t - 5 = -a*y - t, 3*y - 4*t = g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d. Let v(o) = -3916*o. Calculate v(g(c)).\nAnswer: 7832*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 505, 495, 479, 457, 429, 395?\n\"Answer: -3*r**2 - r + 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143 + 15?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1568*v**4 - 413*v**3 - 5166067*v**2.\nAnswer: -37632*v - 2478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -9. Suppose 2*l - 2*r = 4, l - 1 + o = -r. Solve -5*s + 0*s = l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 46, 66, 76, 70, 42?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -717, -774, -869, -1002, -1173, -1382, -1629?\n\"Answer: -19*f**2 - 698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (-222)\/(-54) - 1\/9. Solve 5*o = -w*o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 + 3*i**2 - 4*i**2)*(-14642*i**3 + 15697*i**3 + 2*i - 2*i).\nAnswer: -6330*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/9 (b) -0.053 (c) 10.14 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*m - 5*x, 0 - 6 = -2*m + 3*x. What is the second derivative of 5*f**2 - 6*f**2 + 3*f**2 - m*f wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109700 + 261097 = 21*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 493\/138 + 52\/23. What is the common denominator of 49\/8 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - g**2 + 3*g**2 + 9*g + 0*g**2 as u + x*g**2 + o*g and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -27. Let x(s) = -s**3 - 2*s**2 - 2*s - 3. Let j be x(-3). Is (-53)\/u - 3\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 83.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 9*t + 2. Suppose 0*z = -2*z. Suppose z*x = x - 16. Calculate the remainder when l(-4) is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 1897 = 77. What is the least common multiple of 20 and j?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.34 and 0.0361.\nAnswer: -0.228874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/75884 and -3\/66865.\nAnswer: 16315060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 357047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*(2\/15 + (-8)\/360). Solve r = 5*b - 24, -4*b = -5*r - y - 35 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 128 = -25*j. Suppose 3*l + 3*w - 1049 = -2*l, 0 = -4*l + w + 829. Let c = l + j. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5132 - -1087.0132. Let g = -1362 + r. What is g rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 81 - 123. Suppose -q*m = -4*m - 3710. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (3 - 6)) + 0 + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 15 - (6 + 9 + -3 + 0).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 42 + 21 = 0. Let w = j + 4. Calculate the greatest common factor of w and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**5 + 40*m**4 - 156*m**3.\nAnswer: 4*m**3*(m - 3)*(m + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - 66?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 48 = 30. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -18 in decreasing order.\nAnswer: 2, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*d - 12307 = -1831 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**2 + 3*g**3 - 6*g**3 + 2*g**3 - 4 - 4*g. Let u be v(-4). Let x = u + 5. Is x <= -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3838.5 + -3839. Let w = -4 - -6. What is the nearest to 0.2 in z, w, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4840 at most 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*h - 254 = 0, c + 133 = 2*c + 4*h. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -52, -187, -410, -721, -1120?\n\"Answer: -44*c**2 - 3*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/14)\/((-911)\/(-165802)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 8) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-56)\/(-3) + 25860\/(-3879). Solve 9*d + 3*y = w*d - 21, 0 = d + 3*y + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-5)*150\/(-2000)*(-3)\/18\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-6)\/7*((-4515)\/12)\/(-5))\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 134*b**2 + 111*b - 218. What is the lowest common multiple of q(2) and 108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184195340 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.7. Which is the biggest value? (a) j (b) -0.6 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 5*f + 7. Let b be (1 - (-24)\/(-9))*-3. Let k be a(b). Solve -h - 3*t + 0 = 2, h = 2*t - k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 7*v - 5 - 10*v - 3*v + 2*v - 3*v + 2*v - v + 0*v + (-5 + 3 + 3)*(4 - 4 + v).\nAnswer: -3*v - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 131 = -191. Which is the second smallest value? (a) 2\/19 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2) + (sqrt(18)\/(sqrt(9)*-1))**2).\nAnswer: -4 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1181 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 154 + 34. What is the lowest common multiple of z and (18\/24)\/(2\/48)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/10 + (-2)\/(-5). Suppose 0 = 7*w - 2*w - 15. Suppose 4*v - 3*q - 7 = 0, -3*v = -q - w*q. Sort v, 3, b in descending order.\nAnswer: v, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177?\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 6bb32c?\nAnswer: 6bb32b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -1, 8, -5.32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + r - 5, -4 - 8 = 3*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2462, -4910, -7346, -9770?\n\"Answer: 6*q**2 - 2466*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21671716 is divided by 2167171.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k + 30*k**2 - 10*k**2 + 26*k.\nAnswer: 20*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 1. Let z be c(1). Let r = 8 + z. What is the remainder when 21 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - 13792*g**2 - 3*g**4 - g + 13790*g**2 - g**3 to the form l*g**3 + q*g + j*g**4 + z + v*g**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 623477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.5 - -24. Let n = 0.5 + x. Let t be (0 - 1) + 2\/(56\/20). What is the third smallest value in n, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (660\/(-264))\/(1\/(-12)). Solve 4*t = -5*n - t + y, -5*t + 9 = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.58 to the nearest integer.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 36. Suppose 172 + 128 = o*y. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 12 = -3*s, s - 2*s + 3*m = -12. Let d be 72\/32 - (s + 0). Let g = -1991\/3 - -662. What is the closest to 0.1 in 0, g, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*r + 350, -3*a - r - 592 = -1616. Let k = a - 8553\/25. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 26 + 4 = 0. Calculate the least common multiple of ((-3)\/(-3) - -21) + -2 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + h + 0*h)*(-7 - 7 + 4)*(-4*h + h + 2*h) to l*h**2 + c + x*h and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(((d\/d**(-12\/7))\/d)\/d)\/d*d*d*d\/(d**(-10)\/d))\/(d\/d**4)**(-34) assuming d is positive.\nAnswer: d**(-611\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 3*c**2 + c. Let w be b(-2). Suppose 2*l - 16 + w = -2*j, -j + 4*l + 17 = 0. Let x = j - 3. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 240 - 4*b**2 - 238 + 4*b**2 + 3*b**2 as p*b**2 + q + r*b and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 11*i = -10. Suppose -2*k - 3*w + 17 = 0, 2*k - i*w = -k - 22. Suppose -g = -1 - 2. Which is bigger: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 4:37 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 7*l**2 - 4*l + 2. Calculate p(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -655709 or -655710?\nAnswer: -655710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -192 + 2114\/11. What is the second biggest value in 0.2, l, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 4*z + 2*z + 6*z - 3. Let l be h(2). Suppose 2*r - 1 = r. Is l at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/13585?\nAnswer: 2\/13585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 149*o = 142*o + 26, -r = -7*o + 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-32))\/(1443\/42328)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 40*d**2 + 176*d + 12. Let n be k(44). Calculate the greatest common divisor of n and 2892.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + 1 + sqrt(2) + (sqrt(288) + -1*sqrt(288))\/sqrt(9).\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4754\/(-22050))\/(6\/(-18)). Let f = g + -1\/147. What is the common denominator of -72\/35 and f?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 14 - 6. Suppose -13 = s*c - 93. Let k = 32 - c. Solve -2*n = 5*y, 5*y - 2*n = 2*y - k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1533.3 - -1533. What is the third smallest value in -2, a, 2\/11, 0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 40. Suppose a = -3*y + 5*v + 25, 0 = -4*y - 4*v + 20. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 10 = 0, 3*p - 2*p + 3*w + 2 = 0. Let g(c) = 7*c + 1. Let d(j) = -14*j - 2. Let r(a) = 4*d(a) + 9*g(a). Let k be r(p). Round k to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 19656*l**2 + 19670*l + 117948.\nAnswer: -2*(l - 3)*(l + 2)*(l + 9829)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3062.72487 to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfbbffbbbbbbbbbbbfb. What is prob of sequence bffb?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 1\/5*h**5 + 0 + h + 0*h**4 + 1\/6*h**3 + 0*h**2. What is the second derivative of p(d) wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 68 + 54 = 0. Let o = -8 + x. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 79 + 4 = 0. Suppose o*n - 36800016 = 7*n. Let t be 1 - n\/4*2. What is t rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001343864 rounded to 5 decimal places?\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 62*b**2 - b**4 + 0*b**4 - 2*b**3 - 71*b**2 to the form l*b**4 + n*b**3 + x*b + k*b**2 + s and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*d + 176, 5*d = 5*k + 2*d - 222. What is the remainder when 404 is divided by k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p**7\/p)\/p)\/p)\/(p*p**(1\/3))*p**(-3\/5)*p**(-2\/13) assuming p is positive.\nAnswer: p**(763\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14007467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230976057 to the power of 1\/4, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9384575?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 4. Let t be d(-4). Let a(r) = -12 + 0*r - r - 3*r - 2*r. Let v be a(-10). What is the greatest common factor of v and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/46, 1\/4, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.71795 millimeters to micrometers.\nAnswer: 37717.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 11301284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/(b\/(b**(2\/25)*b)))\/b)**(-1\/12))**(-19) assuming b is positive.\nAnswer: b**(171\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r = 13456 - 2236. Let b = 341 - r. Let t = 0.09 - -0.31. Put t, -4, b, 4 in descending order.\nAnswer: b, 4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-4))\/((-2)\/(-882)*-3). Let g = 299 + c. Let v(d) be the first derivative of d**3\/3 - 3*d**2\/2 - 3*d - 1. Calculate v(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 47\/4 of a microgram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13030012 (base 4) to base 10\nAnswer: 29446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1140966 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = 3*b + 4*f, -b + 5*f - 7*f + 81 = 0. Suppose -x + b + 33 = -2*d, -5*d - 10 = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1103 - -3?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = i + 3. Let w = 137.5 - 137. Which is the nearest to i? (a) w (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -258 - -255. Put m, -4, -5, -1 in ascending order.\nAnswer: -5, -4, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*g + 7, -2*z + 5*g = -193. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -4) + (-3 - -2 - -1) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 24\/8735, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15485, -15479, -15473?\n\"Answer: 6*v - 15491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470367, -941353, -1412339, -1883325, -2354311, -2825297?\nAnswer: -3296283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 567720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 468911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*w + 3*l, -3*l + l = w - 8. Let f be 4\/w*2\/(-5). Let u = 0.5 - 0.1. Which is the nearest to 1? (a) -4 (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 86, -1\/5, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*s - 2. Differentiate -3*q - 2 + 2 - s + 0*q with respect to q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11580 - 9477. Calculate the remainder when t is divided by 47.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 16*p = -104, -6*p - 4204 = 2*z - 4150 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*u = 11, -2*n - 3*n = -5*u - 15. Suppose 0*j - 4*j + n = 2*f, -4*f = -3*j - 59. Is 49\/4 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 463877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/2 - (3 + 2). Suppose 3 = -p - c + 17, 4*p = 5*c + 47. Let k = p + z. Calculate the highest common divisor of 50 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38.65 - -38.649997972. Round m to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 + 2*y**2 - y. Let d be ((-1)\/(-9) - (-22)\/99)*3. Give i(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**6\/180 + f**3\/2 + f. Let o(q) be the second derivative of n(q). Let v(m) = m**2. Determine o(v(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16094139?\nAnswer: 3, 53, 101221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Solve 0*t**2 + 0*t**2 - t**h = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*p - 1096 - 623 = 0. Which is bigger: 131\/16 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 1\/4*a**4 + 0 + 0*a - 12*a**2 + 0*a**3. What is y(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2528*n**4 + 1298*n wrt n.\nAnswer: 30336*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**4\/12 - 2*i**3\/3 - 5*i**2\/2 - 9*i + 1. Find d such that t(d) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725842285 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390317 - 2*v**3 + 390317.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -203*k + 2266. What is the remainder when f(8) is divided by 114?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 429.4132 hours?\nAnswer: 1545887.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 5. Let i = c + 1. Let x be (6 + i)\/(0 + 1). Solve -2*d = x + 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, 1\/3, -4\/3, -25\/2, -1.8, -89.3?\nAnswer: -89.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14106*15958\nAnswer: 225103548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccy when three letters picked without replacement from {y: 3, c: 15}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -3191, 3, -1 in descending order.\nAnswer: 3, -1, -2, -3, -3191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from popmmyn. Give prob of sequence omm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92175 is divided by 529.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -7. Let o(w) = -4*w + 7*w + 0*w - 2*w + 3. Determine o(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 235383 or 235454?\nAnswer: 235383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-67 - -66)\/((-1)\/(-5)). What is the second smallest value in -1\/5, -712, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mamdpapgaadapddgma. What is prob of sequence ap?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 891 + -897. Let f(n) = n**3 + n**2 - n. Let v be f(1). Which is greater: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693296614 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w + 5*f + 40, 5*w - f + 148 = 0. Round w to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 3*f - 18. Let t be c(9). Let m(p) = p**3 + 3*p**2 - p. Let k be m(-3). Suppose 0*w - k*w + t = 0. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*l + 18*l + 177*l)*(l**2 + l**2 + 1 - 9*l - 3) to the form s*l**2 + y*l**3 + v + p*l and give s.\nAnswer: -1989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -3*d - 2*h, -h = 2*d + 4*h - 61. What is the greatest common factor of d and 3168?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 15, -3*v + 5*x + 3 = 3*x. Let j be 24\/(-6) + -2 + v. Let o(k) = k**3 + 7*k**2 + k + 11. Let t be o(j). Solve 4*h = 12 - t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 12:38 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(-v + v + v) + (-6 + 3 + 1)*(-8 + 8 + 3*v).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(17))*4 + (sqrt(17) - -3*sqrt(17)*1) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilil when four letters picked without replacement from iilllpf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - l. Let i = -2228\/5 + 140054\/315. Let j = 10\/7 + i. What is the third smallest value in l, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226, -445, -662, -877, -1090, -1301?\nAnswer: -1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 84*g*s**2 + 2*g*w - 25*g - 2*s**2*w - s*w - 4 wrt s.\nAnswer: 168*g*s - 4*s*w - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 k when three letters picked without replacement from kakakaaaakkk?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 261372548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 508619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -11*h**2 - 110*h - 8. Let d(n) = 7*n**2 + 73*n + 5. Let q(u) = -8*d(u) - 5*x(u). Let g(m) = 1086*m + 806*m - 1891*m. Calculate g(q(t)).\nAnswer: -t**2 - 34*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*y + 8*y**3 + 32*y - 136*y + 34*y + 35*y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6)*975\/(-650))\/(1\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 4 + -4 + 121. What is the highest common divisor of 54 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.22 + -0.22. What is the third biggest value in 0.3, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*25\/(-15)*-3. Solve 0 = -5*q + 3*d - 3, -4*q - 32 = o*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*m + 20, -v = v - 2*m - 14. Suppose -4*p = -v*p + 9. 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 second smallest value in 281.3, -8\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31018 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-6*sqrt(432)*-3 + sqrt(432)*1*-3)*-6)**2*-4.\nAnswer: -349920000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/26 + 2886\/(-1014).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 13. Let m be f(7). Let o = 29 - m. Let s = 36 - o. Does 27 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r - 3. Suppose 0 = -w + 2 + 2. Let q be i(w). Is 714\/q + 1\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - k + 7. Let a be 0 + (-2)\/2 - 56. Let q = 63 + a. Let r(c) = -2*c**2 + 2*c - 13. Determine q*r(w) + 11*l(w).\nAnswer: -w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 1863 + 1860 + 69*w - 69*w - 3732.\nAnswer: -w**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-8)\/c))\/(c*c\/((((c\/((c**(4\/5)*c)\/c))\/c*c)\/c)\/c))*(c**(2\/11))**(-34) assuming c is positive.\nAnswer: c**(1\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 188464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -13*g - 8*g - 2356. Which is bigger: g or -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 3*c - 1, -12 = -19*b + 22*b + 2*c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 5. Let a = 10 + i. Find the first derivative of -4*v**4 + 4*v**a + 2 + v**4 wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 1, -61, -375\/2, -0.2, 6\/47?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x - 101. Determine c(-36).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25, -57, -119, -217, -357, -545, -787, -1089?\n\"Answer: -m**3 - 9*m**2 + 2*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 96, 191, 328, 513, 752?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9022, 11099, 13176, 15253, 17330?\nAnswer: 19407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 1)\/(17 - 15). What is the greatest common divisor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 840 divide 23769332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 4*w = -36, 2*w = -2*w + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2. Let b(c) = 7 - 3 - c - 4. Give v(b(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.7 from 62280.2.\nAnswer: 62278.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28 - ((-170)\/(-34) + 24). Let c = 23356\/63207 - -2\/2341. Which is smaller: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15933.83473 rounded to the nearest ten?\nAnswer: 15930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.399116*0.4.\nAnswer: -0.1596464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n + 210 = -34*n. Let t be (-22)\/(-8) - (-1)\/4. Let l(d) = 4 + 44*d - n*d - t - 7*d**2. What is l(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -56, 11 in increasing order.\nAnswer: -56, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from {e: 3, i: 3, u: 2}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5500 is divided by 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 1 + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7352582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10321653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2369*a + a**3 + 2368*a - 4750*a + 35 + 6*a**2. What is the remainder when v(-8) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 354 - 394. Let p(h) = -h**3 + h**2 - h + 2. Let j(k) = -7*k**3 + 25*k**2 - 45*k + 35. Let o(x) = w*p(x) + 5*j(x). Let o(i) = 0. Calculate i.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2857733, 2857734, 2857729, 2857712, 2857677?\nAnswer: 2857618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14676, 14878, 15080, 15282, 15484, 15686?\n\"Answer: 202*t + 14474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.19, 3\/4, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2 - -5))\/((-2)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -933791? (a) 1\/3 (b) 12\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28813 - 28764. Calculate the remainder when 780 is divided by v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 59 = 12*y, 218*l + 14 = 219*l - 3*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h = 22*h + 45. Let x(a) = 3*a**2 + 2. Let s(b) be the second derivative of 65*b**4\/12 + 45*b**2\/2 + 43*b + 1. Determine h*x(j) - 2*s(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1855*5.\nAnswer: 9275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 23. Solve -1\/3*s**j - 5\/3*s**3 - 7\/3*s - 2\/3 - 3*s**2 = 0 for s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 14 = 7*c. Let p be -3 + c + (12 - -384). Suppose 5*h = 3*h + p. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3690806130 to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/20 - 3845541\/31290.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 0.2, 207\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2281, 4989, 8275, 12139, 16581?\nAnswer: 21601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19926346 to the nearest integer?\nAnswer: 4464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -395*l + 15.\nAnswer: -395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*n + 12, -7*g + 50 = -2*g - 2*n. What is the units digit of -7*g\/(-196) + 292\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -5 + 3 + (-5 - -3) - (-6 + 11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 10*w + 2*w = -6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwgrr. What is prob of picking 2 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (15 + 8 + -5 + -77 + -17)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6320 + -6341. Sort -5, -11, h.\nAnswer: h, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 199*s**5\/60 - s**4\/24 + 127*s**3\/3 - 1359*s**2. What is the second derivative of o(x) wrt x?\nAnswer: 398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 5*v - 14 + 15)*((-6*v + 3*v + 0*v)*(4*v**2 - 5*v**2 + 2*v**2) + 2*v**3 - 7*v**3 + 2*v**3).\nAnswer: -24*v**4 - 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 1\/4*a**3 + 0 + 3\/4*a**2 + 0*a = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 62399 - 9\/(-6)*2. Suppose -2*v + 39598 = -q. What is v rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2457726 and 1976?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (4153 + (-4 - -3)). Is w\/(-10) - 9\/45 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74294 and 116?\nAnswer: 4309052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.2, 0.5, 5, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*d + 6884488 - 6884488.\nAnswer: -79*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10811*x + 356776. What is h(-33)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 10394923.95 to the nearest ten thousand.\nAnswer: 10390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -1\/3*l**4 - 1\/10*l**5 - 2*l - 2\/3*l**3 - 3\/2*l**2 + 0. Calculate the lowest common multiple of q(-2) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 11:30 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*b - 21 - 15, -5*p - 2*b - 36 = 0. Let k = p - -10. Let u = 0 + k. Solve q = w + u*q + 12, -3*q - 3 = -2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342*o - 19838 = 335*o. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + -6.4. Let w = 1447 - 1444. Which is the nearest to 0? (a) n (b) 2\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 676 + 16?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-4 - -3) - (-1904)\/2. Let g = q - 934. Suppose 8*y - 135 = 3*y. Calculate the lowest common multiple of y and g.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 7*y - 19. Let s(t) = 3*t - 7. Let u be s(y). Suppose -4*d - 6*l + l + 2937 = 0, 2*l - u = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289 + 289 - 6*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*(-32)\/(-80)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 15. Suppose 0 = y*r - f - 8, 6 = -5*r - 5*f + 26. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106641 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 433*o**3\/6 + o**2\/2 - 2*o - 73. List the prime factors of u(1).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 8*n - 7. Let t be d(6). Suppose -2*c + 2248 = 4*a, 7*a - 2*a = t*c + 2825. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168430447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 65 + (2 - 5). Let j = k + -91. Let n = 58 + j. Calculate the remainder when n is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvunuunununnnunnnn. What is prob of sequence unu?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, l: 1, k: 3, x: 2, h: 3}. What is prob of picking 1 r, 1 h, and 1 x?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 d when four letters picked without replacement from {l: 6, d: 12}.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2662*g + 455*g + 65*g.\nAnswer: -2142*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4662*r - 6055. What is the tens digit of o(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 4293*s - 4297*s - 62, -2*a - 34 - 12 = -4*s for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 1063 + 611 = 0. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01000026 - 0.01. What is o rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-33)\/(-9) - 2) + 16\/(-24). Calculate the highest common divisor of 27 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1346, 5 in decreasing order.\nAnswer: 1346, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from dpqdjne?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11047*m**2 - 7*m - 1. Is i(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 33*z**2 + 253*z - 70. Give n(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 38*g**6\/15 + 143*g**3\/3 + 103*g**2 + g. Differentiate t(r) wrt r.\nAnswer: 912*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 8 (b) 2\/9 (c) 5 (d) 0 (e) -1\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6337, 12602, 18867?\nAnswer: 25132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -2110123?\nAnswer: -2110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 + -0.115?\nAnswer: -0.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (3 + sqrt(1053))) + (sqrt(65)\/sqrt(5) + 2 - sqrt(13)) + (sqrt(13) - (sqrt(143)\/(-1*sqrt(11)))**2 - -4*sqrt(13)*-1).\nAnswer: -11*sqrt(13) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*j - 69, -3*j = 5*n - 2*j + 215. Sort n, -4, -5, 8 in ascending order.\nAnswer: n, -5, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 6*j - j + 475, 261 = -3*j + 5*w. Let p = -323 - -165. Let b = p - j. Round b to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73214074.\nAnswer: 2, 36607037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4914 and 65?\nAnswer: 24570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 36\/27*-12) + (8 - 3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1274 and 2002?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.58949882 to three decimal places.\nAnswer: 72.589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + g + 4*g - g - g + (g - 2*g + 0*g)*(1 + 0 - 3) + 3030 - 130*g - 3030 + 5*g + 2*g - 3*g to y + k*g and give k.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-105)\/(-140) + (-255)\/332. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j\/(j\/j**(2\/5)*j)))**(-36)*(j**(-1)*j)**(10\/9))\/((j**(-2\/7))**(-7\/2))**37 assuming j is positive.\nAnswer: j**(-113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2 = 3*q, 0 = 15*q - 10*q - 34*c - 53 - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.078 times -5?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 352\/5*n**2 - 7744\/5*n - 4\/5*n**3.\nAnswer: -4*n*(n + 44)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**5\/20 + l**4\/6 + l**3 - 3*l**2 - 2*l + 7. Determine p(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 485 + 16*b - 166 - 161 - 158.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 2826 (c) -1.7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 70704752 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 1\/30*t**5 - 1\/24*t**4 - t**2 + 0 + 0*t - 1\/120*t**6 + 0*t**3. Let p(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 5 - 7 - 6*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 5*v + 2. Let t be s(-4). Let y(g) = -2*g**3 - 2*g**2 - 9*g + 6. Let w(q) = q**3 - q**2 + q - 1. Let i(f) = -3*w(f) - y(f). Calculate i(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7 and -130542.\nAnswer: -130549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5*g = 12, -g - 22 = -4*n - 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345928*p**4 - 217934638*p**3\/5 - 9153254628*p**2\/5 - 128145557736*p\/5 + 148176\/5 = 0.\nAnswer: -42, 1\/864820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4185, -2838, -1497, -162, 1167?\n\"Answer: -3*k**2 + 1356*k - 5538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/6)\/(10\/80*4*10)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45213 is divided by 45200.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + 9. Let k be m(0). Calculate the greatest common divisor of k and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2833658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -238.77 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -25) + (-2 - -2) + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = 2*h - 4*y, -h + 15 = -3*y. Let k = 13 + -7. Let v(g) = -k*g**2 + 2*g**3 - 3*g**3 - 5 + 13*g**2 - 5*g. Give v(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from wguzlzuwquuz.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:59 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35164517\/855 - -41128. What is the common denominator of h and 56\/1539?\nAnswer: 7695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7466 - 7589.89. Let b = 351 - 474. Let j = b - u. What is j rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 11*b - 14. Let s be f(9). Suppose 0 = -s*l + 466550 + 9450. Round l to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 5*i + 0*i)*((3 - 6 + 5)*(-1 - 1 + 1) - 5 + 2 + 1)*(6 + 4 + 0).\nAnswer: -120*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 16 = 5*w, v + 0*v + 5*w + 13 = 0. Put v, -55, 3, -1 in ascending order.\nAnswer: -55, v, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 15.018. Let i = s + -7.382. Let l = i - -7.3913. What is l rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (92\/(-15) - 5\/25)\/(133\/(-399))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39*((-2)\/(-30) + (-132)\/330).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33 - -3)*(7\/2)\/(-7). Solve -12*x + 3 = i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.676 to 2 dps.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 8*w = -24, 2*w + 0 + 7 + 1 = -2*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210 (base 3) to base 10.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 366365941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (20\/12 - 1)\/((-28)\/12)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**8\/168 - g**7\/35 + g**6\/20 - g**5\/30 + 4*g**2 - 2*g. Factor x(y).\nAnswer: 2*y**2*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 4*u**2 + u - 3. Let t = 3 + 1. Suppose t*i + 2*o = -0*o + 24, 4*o = -i + 20. Give v(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 47\/3. Does i = -8\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in minutes?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -5, -0.5, 3 in descending order.\nAnswer: 17, 3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*n - 3*n - 104787 = -645565. Is 57 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61297103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525 a factor of 235683174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g**2 - 21*g + 1. Let o(r) = r**3 - 5*r**2 + 13*r - 4. Let u be o(2). Is c(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (936 - 936 - 268*c**2 + c**2 + 0*c**2 + 2*c**2 - 3*c**2 + c**2 + 3*c**2 + (1 - 2 + 3)*(-3*c**2 + c**2 + 3*c**2) + c**2 - c**2 + 2*c**2)*(1 + 11 - 5).\nAnswer: -1820*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 13 = 4*w + 2*u, -10 = 3*w - u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7656615 + 0.9.\nAnswer: -7656614.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 3:47 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 - -182. Suppose -j + 0*c - 4*c + 90 = 0, j - s = -3*c. Let w be 4\/(-5) + 57\/j. Sort -0.5, 2, w in decreasing order.\nAnswer: 2, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9800.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(6050) + sqrt(6050) - sqrt(6050))*-3 - sqrt(6050)) + sqrt(6050) + 1 + sqrt(200) + -1 + 4.\nAnswer: -155*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(7\/4)\/(r*(r**(2\/39)*r)\/r))**(-3\/5) assuming r is positive.\nAnswer: r**(-109\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/4 - 48171*r**2 + 385377*r\/4 - 96345\/2.\nAnswer: -3*(r - 1)**2*(r + 64230)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 103*d**2 - 8952*d + 468205. Calculate w(52).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48? (a) -14 (b) 0.5 (c) -0.4 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18075?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 b, and 2 w when four letters picked without replacement from wwwzwgnsgzzbgggnn.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -92 + 2. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v + 18 - 18.\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*s - 526, -z + 0*s - 102 = -2*s. Let g = -25 - z. Does 23 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 475a9a22 + 2?\nAnswer: 475a9a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1690258 is divided by 422560.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14017 (base 9) in base 5?\nAnswer: 300433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 3*y**2. Let o be c(3). Solve 0*b + b = o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let t(g) = -212*g**2 - 23712. Calculate n(t(r)).\nAnswer: 212*r**2 + 23712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 138.14\nAnswer: 13.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 0*u**5 + 53\/12*u**4 + 0 + 0*u**6 + 1\/42*u**7 + 0*u**2 + 28\/3*u**3 - 51*u. What is the second derivative of l(n) wrt n?\nAnswer: 20*n**3 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h - 5. Let f be a(2). Suppose f*x = 3*d - d - 18, d = -3*x - 2. Is 19 a factor of d\/(-10) - 1152\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17008 is divided by 710.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204 (base 5) to base 15.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 3) to base 6\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 13*g**2 + 447*g - 1256. Calculate n(-37).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haaahshhshhhsaahshyh. What is prob of sequence ss?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.9025787538 - 9433.\nAnswer: -9430.0974212462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102033.23 rounded to the nearest one hundred?\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22144243 - -10?\nAnswer: 22144303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 + 2.67715?\nAnswer: 2.61715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -247 - -250. Suppose n - 44 = -u*n. Is 69\/7 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-1 - -6) - 20. Let b be 24\/2*9\/s. Is b at most as big as -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88 + 93. Let z(j) = -5*j**3 + 8*j**2 + 4*j + 5. Let h(q) = -14*q**3 + 23*q**2 + 12*q + 14. Let g(x) = 4*h(x) - 11*z(x). Determine g(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*h + 8*h + 248 = -232 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -35108?\nAnswer: -1\/35108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 252189178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/68264022 and -115\/5922?\nAnswer: 1433544462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19211*v**3 + 8520*v wrt v?\nAnswer: -115266*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*a + 4*a = 1, -10 = -2*p - 2*a. Suppose -p*r = -5*w - 46 - 15, 5*r = -2*w + 80. What is the lowest common multiple of r and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 1317 + 442. Suppose 3*w - 13 = -j. Let p = 63 + w. Which is the third biggest value? (a) p (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001281198 to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-255)\/(-20))\/(-17)*11176\/(-2). Calculate the highest common divisor of 33 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12\/4)\/1 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.114849 and -208.\nAnswer: 23.888592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (27\/(-15) - -3) + -2. Let v = -1 + -4. Let x = 1 + -1. Which is the second biggest value? (a) j (b) v (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d - 6*d + 3*d + 0*d to the form t*d + z and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5728 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1494 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6 take away 271.7?\nAnswer: -267.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 3. Suppose -2*z = -l*z + 24. What is the remainder when 30 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6494 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 200011111 (base 3) in base 11?\nAnswer: 9a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298 + 2046 + 2*h + 1966 - 1273.\nAnswer: 2*h + 3037","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 701167 divided by -30.\nAnswer: -701167\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6312*i - 6081. Calculate a(1).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -269*w**3 + w**4 + 0*w - 3*w**2 + 12071 - 12609 + 809*w.\nAnswer: (w - 269)*(w - 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/9 - 2\/(-12))*0. Suppose z = -10*t + 5*t + 240. Suppose -6*d + t = -4*d. What is the highest common divisor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -75*j - 35. Let u(h) = 45*h + 21. Let r(z) = -7*s(z) - 12*u(z). What is r(-7)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1078921 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39, 33, 15, -21, -81, -171?\n\"Answer: -m**3 + m + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6180\/(-4120)*(6\/11)\/3.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565971821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 61426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -227 greater than -393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29357\/(-3255) + 55 - 46.\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65980 + -43544. Suppose 32636 = -13*x + 14*x. Let k = x - d. Round k to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + -1 + 3.\nAnswer: 2 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (0 + -52 - (-61 - -47)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423834 = 2*u + 5*f, 14*u - 4*f + 211911 = 15*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 - 202*u**3 + 1 + 3*u - u + 187*u**3)*(-2*u + 0*u + 3*u) to the form r*u**3 + b*u + d*u**4 + x + h*u**2 and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 11. Suppose -n + 8 = n. Suppose c = -n*w - 12, 5*w = 4*c + 4*w - 37. Calculate the least common multiple of r and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 2)*-6*-6*-4.\nAnswer: -144*sqrt(11) - 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 43651956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1527 - -2213. Calculate the greatest common divisor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - j. Let z(v) = v**2 - 2*v - 7. Let f be z(4). Let s(q) = 3*q**3 + 5*q**2 + 6*q - 3. Determine f*s(r) + 5*a(r).\nAnswer: 3*r**3 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42.6 - 46.78. Let r = 0.18 + w. Sort -2\/5, -2\/3, r in increasing order.\nAnswer: r, -2\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177234221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4 - 30*a**3 + 54*a**2 - 26*a = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1.698348 weeks?\nAnswer: 11.888436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-5) - 1641\/(-1860). Let v = s + -1\/31. Suppose 0*f**4 + 0*f**2 - 1\/4*f**5 + 0 + 1\/2*f**3 - v*f = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 4198?\nAnswer: -2\/2099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3232132 + -21213202?\nAnswer: -31112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -1) + -2 - 0. Suppose -3 - a = -2*n. Solve 12 = -n*z - z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10231229 + 10231229 + 158*x**3.\nAnswer: 158*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 2. Let t(m) = -20*m**2 + 4. Let k(h) = -a(h) - t(h). Is 4 a factor of k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*p + p + 322 = 0, -5*f = p - 1586. Suppose -f - 222 = -5*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*m + 656, -111*u + m = -113*u + 437. Calculate the remainder when u is divided by 189.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 2:04 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 74154459.\nAnswer: 148308918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 965 - 932. Calculate the remainder when 1517 is divided by z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x = 26*x + 56. Let n(d) = -d**2 - 28*d + 3. Let u be n(x). Find the first derivative of -32*j - 28*j**u + 62*j + 15 - 30*j wrt j.\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 51046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + i = 5, 7567*y - 110 = 7563*y - 3*i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 7, 5, 110?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 702*x - 174. Is 10 a factor of r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkiiikkkikik.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20037991.43 less than 37.5?\nAnswer: 20038028.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6 - 6 - l. Let q = 57 - 45. Calculate the least common multiple of q and o(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -11)*(1*-11 - (-42 + 30))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7801223472 - -15?\nAnswer: -7801223457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from mmoomammmmmommmm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/(-260)*10*-1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18749 - -18749. What is the fifth biggest value in -1\/5, -0.1817, n, -0.5, 4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -286?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*f**2 + 7*f + 399 with respect to f.\nAnswer: -48*f + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174157704?\nAnswer: 2, 37, 1301, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1836375 is divided by 296?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 + 3*h**2 + 4*h + 2. Let v be f(5). Let r be (-34)\/v - 215872\/342. Let l = r + 631. Is l not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-144)\/(-162))\/(2\/(-9)). Sort 139, 7, f, -1, 2 in increasing order.\nAnswer: f, -1, 2, 7, 139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 0*v**2 + 0*v**4 - 2*v + 0*v**5 + 0 + 1\/6*v**3 - 1\/540*v**6. Let p(q) be the second derivative of o(q). Factor p(r).\nAnswer: -2*r**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11938 and 86386?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**9\/3024 + o**8\/336 - o**7\/168 + o**4\/3 - 6*o**2. Let g(t) be the second derivative of x(t). What is c in g(c) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4628106 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: b\"What is the yth term of 4972, 19889, 44744, 79531, 124244, 178877, 243424?\n\"Answer: -y**3 + 4975*y**2 - y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -19. Solve -q*w + 2 = -11*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekukuuegee. Give prob of picking 1 u and 1 e.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 264 = -2*i + g, 0 = 3*i + 2*g - 790. Let r = i - -265. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 4. Let t be m(-1). What is the third derivative of -28*c**6 - 5*c + 2*c + 8*c**t - 32*c**6 wrt c?\nAnswer: -7200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 1 - (23 - 34). Suppose -v*h + 19 - 8 = 0. Which is the nearest to 1? (a) -1\/12 (b) h (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) - 1078\/(-9). What is the highest common factor of 15 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-28)\/(-54)*11\/((-385)\/(-150)). What is the closest to -2 in v, 0, 0.09?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -33. Suppose 0 = 4*c - c - v + a, -v = -3. Sort -4, 4, c, 0 in decreasing order.\nAnswer: 4, 0, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*v - 3208, 4*t + 4*v - 3*v - 4299 = 0. Is 39 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2 + 43*w - 44. Let a be b(1). Let c(i) = i**2 - 7*i + 1. Let g be c(7). Solve -a*t - g = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = q + 13 - 3, 0 = -5*j + 25. Suppose -2*b = 2*b. Solve 3*l + q*l = b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12699381728 + 0.09085\nAnswer: 12699381728.09085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -8. Let d be (-1)\/((-1)\/m*-1). Suppose -d*r = -c - 2*c + 379, -r + 255 = 2*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8b7c4 (base 14) to base 8\nAnswer: 1226160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311854.\nAnswer: 2, 241, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5432 a factor of 1174311488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -12, -24, -2, 5 in decreasing order.\nAnswer: 15, 5, -2, -12, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161051994 is divided by 1500?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - a = 4, -4*a + 23 = -26*u - 22*u + 39 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -8 + -10 + 6 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7658 is divided by 284.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-558)\/62*11502\/1458.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 + -377\/5. Let l = -70 - -75. Suppose l*p = j - 21, j + 2*p = -3 - 4. Put j, -1\/2, z in decreasing order.\nAnswer: j, z, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 6*c**2 - 4. Let o(u) be the first derivative of -3*u**2 + 1\/3*u**3 - 3 + 2*u. Let l be o(4). Give s(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u - 30. What is d(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -208093 > -208093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a kilometer in centimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(11\/2))**23\/((l*(l\/(l\/(l\/(l\/l**1))))\/l)\/l)**(-2\/7) assuming l is positive.\nAnswer: l**(253\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1960391.\nAnswer: 1960391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -141*x**2 + 4878*x + 2008. What is n(35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 15 = 0, -3*g - 43*c + 420 = -46*c. Calculate the remainder when g is divided by 50.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7793748 to the power of 1\/2, to the nearest integer?\nAnswer: 2792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-14) - -1) + (-22393)\/343. Sort s, -2\/3, -2.\nAnswer: s, -2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r + 18 = -5*m, 9 = 3*r - 2*m. Calculate the lowest common multiple of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - ((16 - 0) + (-33 - -54) + -28)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*r**4 + 4*j*r**2 - 11*j + 27*r**4 + 1 wrt r.\nAnswer: 4*j*r**3 + 8*j*r + 108*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*w = 10, 2*w + 3 - 1 = 0. What is the highest common factor of 5 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32570831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + c**3)*(0 + 0 + c**2) + (-2 + 2 - 1)*(-5*c**5 - 5*c**5 + 0*c**5).\nAnswer: 11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -7 (c) 5584\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7)*96\/80*(-345)\/(-1449)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*l**3\/3 - 26*l**2\/3 - 52*l\/3 - 16\/3.\nAnswer: 2*(l - 4)*(l + 1)*(5*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -34\/133, 353, -3 in ascending order.\nAnswer: -3, -34\/133, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 92695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(4*(-4)\/(-48)) + 159?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-12))\/(((-1020)\/90)\/(-17)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10596 divided by -192\nAnswer: -883\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9473282 to the power of 1\/2, to the nearest integer?\nAnswer: 3078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109*f*r**3*z + 21*f*r**3 + 9*f*r**2*z + 9*f*r**2 + 109*f*r*z - r**3 wrt r?\nAnswer: 654*f*z + 126*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 5*q = 2366. Let y = q - -325. List the prime factors of 2\/(4\/y)*(1 + 1).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**3 + 4*g**2 - 6*g + 1. Let p = 114 + -109. Let w be (3 - 20\/8)\/(p\/10). Let r(v) = -v**3 + v**2 - v. What is w*u(n) - 6*r(n)?\nAnswer: 2*n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4434, 4433, 4432, 4431, 4430?\nAnswer: 4429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1412 + 1412 + 516*l - 499*l.\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5152, -5215, -5278, -5341?\n\"Answer: -63*r - 5089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t - 1. Let n = -1 - -6. Let j(k) = -k**2 + 6*k - 3. Let r(x) = n*d(x) - 2*j(x). Suppose -13*o = -1 + 40. What is r(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17479 is divided by 647.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 526780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**3 - 2*o**2 - 13*o**4 + 0 + 15*o**4 - 1 - 6*o**3 - 2*o - 5*o**4 to d + x*o + r*o**3 + v*o**4 + l*o**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1889 - 1563. Calculate the greatest common divisor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 8:55 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.1 - -42.1. Let x be 21\/2 - ((1 - 4) + 6). Which is the biggest value? (a) v (b) -3\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n**3*n))\/n)**(18\/5))**(-2\/99) assuming n is positive.\nAnswer: n**(12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**2 - 5*f**2 + 2*f**2)*(4 - 2 - 1)*(3 - 2 + 1 + (6 + 0 - 3)*(4 + 0 - 3) + (2 - 8 + 2)*(1 - 1 + 1)) to t + p*f**2 + h*f and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/((-45)\/(-511)) + 22\/99. Let g = k + -52. Solve 6 = 3*u - g*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06623+0.02\nAnswer: -0.04623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 + 236*h + 339. What is the units digit of o(80)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, 3, 1, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4)\/((-1)\/(-6)). Let j(k) = k**2 - 9*k - 5. Let z be j(h). Let q = -1 - 1. What is the third smallest value in -1, q, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -10 + 4 + 3*z**2 - 2*z**2. Suppose 45*u - 40*u = -20. Calculate the least common multiple of 20 and s(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -414844600 rounded to the nearest 100000?\nAnswer: -414800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/16)\/(5589\/101844)?\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 13. Suppose w*y + 7 = 11. What is the units digit of (-5)\/(-15)*69 - (y + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27645, 55291, 82937, 110583?\n\"Answer: 27646*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(44)*2)\/((1*sqrt(112))\/sqrt(7)))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8700 and 92220.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 a when three letters picked without replacement from ppppappapaa?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 16, -2*b + b = -2*x + 5. Let q = -3 + b. Suppose 0 = -q*v - 2*v + 18. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96162802.\nAnswer: 2, 59, 814939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + 5*sqrt(1008)*2 + 6*(-1*sqrt(1008) + 3 - sqrt(1008)))**2 + -5.\nAnswer: -528*sqrt(7) + 4148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3072\/7 + -23967\/56. Let l = 10 - z. Suppose 0*v - v = -39. Find the common denominator of v and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -10*w + 13. Let d be r(10). Let u = d - -106. Suppose -5975 = -24*o + u*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98899.\nAnswer: 98899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*s + 1 + 7, -32 = -4*s - 4*r. Solve n = -s*a - 16, 8*a + 4*n + 16 = 4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/12*1*-3. Let k(x) = x**2 + 2*x - 2. Let g be k(-3). Which is bigger: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231510254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -453900195*t**4 + 7187*t**2 + 16178 wrt t?\nAnswer: -10893604680*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, -825, -2, -10, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 4*j)*(3*j**4 + 0*j**4 + 7*j**4) - j**5 - 2*j**5 + 2*j**5 + (0*j**4 - 3*j**4 + j**4)*(-4*j + 2*j + 3*j) - j**5 - j**5 - j**5.\nAnswer: -46*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 18 = -45. Let d(u) be the first derivative of -7\/8*u**4 - 2*u**z + u - 3 - 3\/4*u**2. Let d(k) = 0. Calculate k.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -859094, -859101, -859086, -859043, -858966?\n\"Answer: z**3 + 5*z**2 - 29*z - 859071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 660 = 732 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -284 - -287. Suppose 5*f - 100 = -2*b, -4*f + 3*b = b - 80. Suppose -42*m = 11*m - 265. Solve a*v + m = f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 501777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 5*q**2 - q - 1. Let j be k(-5). Let u(s) = -4*s - 33. Let p be u(-15). Let b = p - j. Calculate the greatest common divisor of 115 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-5 - (-2 + -3))) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072 is divided by 1069.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*sqrt(704) + -4*sqrt(11)*1*3.\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12 + 28 - (11 - 3). Let d(s) = -s**3 + 10*s**2 - 19*s + 12. Let f be d(p). Put f, 0, -5 in descending order.\nAnswer: 0, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/26*(-11115)\/570*-2*43\/3?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-73 - -70) + 23 + (-7 - (-1 - 3))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0*f - 3*f + 132, f = -5*t + 604. Let k be 1*-4*(-3)\/t. Let o = 3.1 - 3. Which is the closest to k? (a) -2\/5 (b) o (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-40)\/64*-98 - (-6)\/8.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxunuxnvxxvujngvxnn. What is prob of picking 1 x and 3 n?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0370097 + -0.037. What is o rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyv. What is prob of sequence vv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 - 0.2. Let q = 6 + d. Let s = 4.3 - 1.3. Which is the third biggest value? (a) -0.2 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 4833.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -117, -180, -245, -312?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102 * 11.\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434502?\nAnswer: 2, 3, 101, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**3\/15 - b**2 - 9*b\/5 + 154. Factor q(y).\nAnswer: -(y + 1)*(y + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 16*s**2 - 247*s + 2646. Let h(q) = 7*q**2 - 124*q + 1323. Let m = -231 + 226. Let y(d) = m*h(d) + 2*p(d). Factor y(x).\nAnswer: -3*(x - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -10\/3, -2\/11, 6.\nAnswer: -8, -10\/3, -2\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 13*f**2 - f - 9. Let l be z(-13). Do 2 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by 166.\nAnswer: -48\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5624 divided by -37?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p - 5 + 5)*(-56843*p + 56843*p + 3450*p**3).\nAnswer: -24150*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 178626.93 minutes?\nAnswer: 2977.1155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.361 - 17.361. Which is the closest to -1\/2? (a) -9 (b) x (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3))**(19\/5)\/(s**3)**(-4\/3) assuming s is positive.\nAnswer: s**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 - 253. Let k = -342 - g. Solve 7*i + 4*c = 4*i - 15, -3*c = i + k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 259*m**6\/30 - 1103*m**3\/3 - 3356*m**2. Find the first derivative of q(k) wrt k.\nAnswer: 3108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (-52 + (96 - 56)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 330964 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3\/7 - 69784*r**2\/7 - 607257722*r\/7 + 3661153068 = 0.\nAnswer: -17467, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/10 and -20\/14229.\nAnswer: 142290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + ((-8208)\/(-528) - (504\/198 - 2*1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3 + s**2 + 4*s**2 - 6*s**2 + 3*s - 12*s. Suppose 85 - 20 = 5*o. Calculate the remainder when r(-5) is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v = 93. Is 5 a factor of (-5 - v)*2\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.72 times 0.13?\nAnswer: 5.8136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2184435 by -436887.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -11, 53 in descending order.\nAnswer: 53, 5, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 5*m**4\/6 - 25*m**3\/3 - 6*m**2 - 2. Let f(i) = i - 2. Let x(a) = -25*f(a) + q(a). Let k(d) = -5*d. What is k(x(w))?\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 45*x - 59*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g + 135 = 0. Suppose -3*q - q - 2*y - 10 = 0, 5*q + g = 4*y. Sort 4, q, -4 in descending order.\nAnswer: 4, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2459 + -1242. Let m = w - 9831\/8. Find the common denominator of -99\/10 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j + 3. Let d(g) = -g**2 + 4*g + 1. Let w be d(5). Let r(k) = -17 - 3*k + 35 - 17. Calculate w*x(p) + 11*r(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 63 - 7 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, 1 g, and 1 e when four letters picked without replacement from {g: 2, d: 3, u: 3, c: 1, z: 1, e: 9}.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = w. Let o be 5\/(10\/12) + 1. Calculate the greatest common divisor of o and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724766 - 2555?\nAnswer: 722211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 5:48 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002034053 to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/((-7)\/(-2)) - -4. What is the second derivative of -8*s - m*s + 2*s + 3*s**3 + 0*s**3 wrt s?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1525, 5370, 11541, 20038?\nAnswer: 30861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2, -4*i - 10 = p - 2. Let j be (2\/p)\/(5\/(-20)). Suppose 2*a = -2*d - 8, 58*a + d = 61*a. What is the nearest to j in -3\/2, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2691 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4254 = -14*p + 4282 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18801833*d = -18801754*d + 2449 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 710539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -102691.\nAnswer: -102688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 17386522?\nAnswer: 17386533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 1. Let k(r) = r - 3. Let c(g) = 17*g - 9. Let w(z) = -c(z) + 6*k(z). Let q(d) = -6*l(d) - w(d). Calculate q(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(6\/15))\/((-1793)\/326)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1064 + -1069. What is the closest to 12 in -18, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226, -59, -344, -629?\nAnswer: -914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.8 and 2131613 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2739131443?\nAnswer: 17, 257, 626947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-72)\/(-60))\/(2\/35). Let x be (12\/(-42))\/((-3)\/v). Solve -x*c + 14 = 4*g, 3*c - 5 = 5*g + c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 18 = -2*q. What is the tens digit of (-153)\/(-6) - 9\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304070684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x**3 - x**2 - 2*x - 2. Let u be v(-1). Let y(p) = -6*p + 13 - u*p - 6 + p**2. Calculate y(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288096 divided by 6?\nAnswer: -48016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1280 + 1284. Which is the nearest to 2? (a) -1\/103 (b) 3\/2 (c) 2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 2 = 17*f. Suppose -4*w + 5*d = -4269, -f*w + 450 = d - 1667. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 14*a - 93. Let t be w(7). Let q(p) = -p + 8. Let v be q(-8). Suppose d - t*d = -v. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {d: 3, z: 1, g: 7, t: 1, x: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -2\/35 (c) 61.8 (d) 1 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22653710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-1\/5))\/p)\/p)**(-3\/37)\/(p**(-3)\/((p\/p**11)\/p)))**24 assuming p is positive.\nAnswer: p**(-35088\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3055542*i + 3055545*i + 2 + i**3 + 5*i**2 - 6111082*i. Let n = 4 + -8. Calculate k(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1825*t + 1825*t - 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 340 and 72204780.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**2\/2 - 15*l + 11. Let w be j(15). Suppose w = o + 4*o. Solve 0*i = -3*i - 2*r + 16, -2*r + 4 = o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 24 = -n, 4*w + 108 = 3*n + w. Let b be (-1)\/(-2 + 76\/n). What is the greatest common factor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Let g(o) = -o**3 + 5*o**2 + o - 7. Let m be g(5). Suppose 0 = -4*h + 4 + 16. Put h, u, m in increasing order.\nAnswer: m, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Let y = 87 - 87.1. Let p be 0 - (-1)\/3*2. What is the closest to y in 1\/4, p, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - t = 0, -5*p + 9 = 100*t - 98*t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 204*t - 41. List the prime factors of k(4).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*l**3 + 74*l**3 + 9*l**4 + 3 - 3*l**2 + l**2 to a*l**2 + x*l**4 + c + r*l + u*l**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-29)\/((-3306)\/4)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80\/93 + 6\/31. Let i be 1290\/319 + -4 - (-102)\/(-561). Is i < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 3. Let l be z(3). Suppose l*b - 3 = -b. What is the highest common factor of 15 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-six fifths of a century?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/8 of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 2*o + 3*o + o. Let w be f(6). Suppose -4*v = -w*r + 4*r - 28, 5*r + v - 15 = 0. 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 milligrams are there in 0.208022g?\nAnswer: 208.022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 934008115 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46644*r**5 - 48*r - 44.\nAnswer: 932880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365526547?\nAnswer: 365526547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 5:54 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/6 - 157804*f**2\/3 + 287839165*f\/6 - 10953921201.\nAnswer: (f - 314694)*(f - 457)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -621, -2193, -5301, -10467, -18213?\nAnswer: -29061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 489, 714, 905, 1050, 1137?\nAnswer: 1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-6) + -3280*2040\/(-450)?\nAnswer: 2, 5, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3 + 4, l = m + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 100*t + 5*t - 115*t + 11*t.\nAnswer: t - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, b: 1, a: 2, d: 7, z: 4}. What is prob of picking 1 d, 1 w, and 1 z?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 163706 - -31?\nAnswer: 163737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -18*l**3 + l. Let v = -35 - -36. Let i be -10 + 7 + (0\/2)\/v. Let k be 2 + (-12)\/48 + i\/4. Give n(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(14\/9))\/(((g*g*g\/(g*g**(1\/3)))\/g)\/g*g)*(g\/(g*(g\/g**(6\/7))\/g))\/((g**(-1\/32)*g*g)\/g*g))**12 assuming g is positive.\nAnswer: g**(1567\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 200\/4 + (0 - (-2 - 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 37, 1 in decreasing order.\nAnswer: 37, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16985 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(7) + 5 + -5 + -1*sqrt(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-116)\/(-28) - (-2)\/(-14). Suppose 3 = p - 2*t - 4, 5*t = -2*p - m. Is 4 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -146978, -146975, -146972, -146969, -146966?\n\"Answer: 3*m - 146981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 35214936.\nAnswer: -17607468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*i + 24 + 7, -5*i + 4 = 2*r. Suppose r - 23 = -4*g. Suppose -3*q - 197 - 410 = -4*f, 0 = -2*f - g*q + 276. What are the prime factors of f?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6628749?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -49*j**2 - j + 4. Is f(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-952) - (1016\/(-34) + -6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*n**3 - 18*n**2 + 44*n**2 + 10*n**2 wrt n.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7721385, 7721384, 7721385, 7721388, 7721393, 7721400?\nAnswer: 7721409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1105, -1110, -1151, -1240, -1389, -1610, -1915, -2316?\nAnswer: -2825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*r)*(2 - 3*r - 2) - 4*r - 2*r**2 + 0*r**2 + r.\nAnswer: 4*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + 2.04. Let w = 3.67 + -3.27. What is the closest to w in 1, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 16*i + 1160 = 36*i. Let k be (-6)\/2*20\/(-3). Calculate the greatest common divisor of i and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**2*z - 2*t + 308*z wrt t.\nAnswer: 2*t*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -478, -1922, -4324, -7684, -12002?\n\"Answer: -479*k**2 - 7*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 4*b + 0*b)*(-3*b**2 - b**2 - 4*b**2) + 3*b - 3*b - 2*b**3 to f*b**2 + z*b**3 + s + q*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1801 + 588*c**4 + 17*c**3 + 2*c**3 + 7203*c**5 - 1801 - 7*c**3.\nAnswer: 3*c**3*(49*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4387 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 y, and 1 v when four letters picked without replacement from ytoyooyyvtt?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*r**4 + 2 + 4 + 0*r**4 wrt r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1568 and 1865024.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - f - 359, -3*f + 106 = 33*z - 32*z. Suppose 0 = 33*l - 20*l + z. Is -6 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10090 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -46620 divided by -148\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -2003*l**4\/6 - l**3\/3 - 4833*l**2\/2 - 3259*l - 1. What is the derivative of m(w) wrt w?\nAnswer: -8012*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + sqrt(3) + -2 + sqrt(3) + sqrt(3) + 0 + -1)**2.\nAnswer: -12*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2448 and -125\/204.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0*u**3 + 0*u**5 - 1\/168*u**8 + u**2 - 1\/12*u**4 + 0*u**7 + 0*u + 0 + 1\/30*u**6. What is b in v(b) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95348 + 133816. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4182?\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27.117006 months?\nAnswer: 0.22597505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28 + -2 - ((-1 - 12) + 6)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 53*v**2 + 3*v + 1. What is the tens digit of d(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122475697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2667.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 w, 1 k, and 1 g when four letters picked without replacement from hklhgkkgwhkk.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -381815, -381814, -381813?\nAnswer: -381812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 7606*o**3 + 5320980*o**2 + 1154449800*o + 82108026000.\nAnswer: -2*(o - 4433)*(o + 210)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, 33808, -0.5 in increasing order.\nAnswer: -0.5, 68, 33808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 0 - (-2 - 0). Solve -2*f = -3 + n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 - 62. Let q(n) = 119*n. What is r(q(a))?\nAnswer: 42483*a**2 - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 5. Let m be h(5). Suppose f + 4*f - 20 = m. Suppose f*j = 2*o - 30, o - 3*j - 10 = 9. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 109 + 177 - 4*z**2 + 0*z**2 - 40 + 112*z - 6 = 0. Calculate z.\nAnswer: -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*l*t*w**3 + 108*l*t*w + l*w**2 + 4*l + 2*w**3 wrt w.\nAnswer: 360*l*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 5*t**7\/28 + 2*t**6\/5 - 3*t**5\/10 - 5*t**4\/4 - t**3\/4 + 3*t**2\/2 - 6*t. Determine h, given that w(h) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 5240*z + 1372880.\nAnswer: 5*(z + 524)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*g = 2*o + 4, 4*g = 2*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1574, -829, 412, 2149, 4382, 7111?\n\"Answer: 248*u**2 + u - 1823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2*f**2 + 4 + (-1 - 4 + 3)*(-2*f**2 + 5*f**2 - 4*f**2) + 11*f - 9 - 9 + 24 + f**2 in the form z*f**2 + n + i*f and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8 + 594*c**2 - 199*c**2 - 196*c**2 + 16*c - 67 - 198*c**2. Give a(-17).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*u + 58, k + 0*k - u - 33 = 0. Suppose -4*x + 0*c = 3*c - 59, 5*c = 3*x - k. Calculate the highest common divisor of x and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9602779 is divided by 585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2036580 divided by 203658.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1043*j**6 + j**3 + 821*j**2.\nAnswer: 125160*j**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*h = -24, 3*h = 6*h - 12. Suppose 36 = -2*a + l*a. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/((-16)\/(-64))*9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cckccccckckc?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1403 = 5*a, -4*k = -a - 0*a + 284. Suppose 0 = -2*i + 78 - 8. What is the greatest common factor of a and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 m when two letters picked without replacement from {z: 4, p: 2, f: 1, v: 1, m: 2, c: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*t - 9*t. Which is the nearest to 2? (a) 4 (b) -1 (c) t (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from {c: 5, o: 4, s: 1, t: 1, p: 1, i: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.7 + 9. Let c = -0.2 - p. What is the second biggest value in c, 1\/7, 1\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**6\/72 - 11*f**5\/120 - f**4\/4 + 19*f. Let a(c) be the third derivative of t(c). Let j be a(2). Which is greater: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x + 84. Suppose 4*v = 4*i + 44, -2*i = 10*v - 5*v - 27. Let t be y(v). Calculate the greatest common divisor of 72 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -h + 10 + 5, h + 4*v - 40 = 0. Calculate the greatest common factor of 15 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 + 6*c**3 - 2*c**3 + (2 - 2 + 1)*(-2*c**3 - 2*c**3 - 2*c**3) to the form b + k*c + h*c**3 + i*c**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 22*v + 2. Let j be c(22). Suppose 10*u - 7*u - j*i = 503, -2*u = -2*i - 336. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/246 and 109\/15270.\nAnswer: 626070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pocc when four letters picked without replacement from {c: 3, e: 7, s: 6, o: 2, p: 1}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) - (7 - (-1936)\/6). Let w = k - -1136. Is 62 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**5\/60 - d**4\/6 - d**3\/6 + d. Let l(z) be the second derivative of k(z). Give l(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 - 3 = m, -5 = -q. Suppose -3*w + n = 3*n - 58, 0 = m*w - 2*n - 96. Round w to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80466684 is divided by 178.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5 - 115. Let t = -56 - -60. Suppose 4*n - 2*b - 12 = -t, 3*b = 0. Calculate the greatest common divisor of n and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47925 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18405 - -5308476334.\nAnswer: 5308494739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2040418*k**5*l + 8*k**3*l + 21*k**2 - 3001937*l wrt k?\nAnswer: 122425080*k**2*l + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4873*p*s**2 - 1637*s**2 + 1 wrt p.\nAnswer: 4873*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 39. Let t be x\/(-4) + 1\/(-2). Let r(h) = 3*h - h**2 + 3*h**2 - 3 + 8 - 8. Let m(l) = -2*l**2 - 4*l + 4. Determine t*r(d) + 3*m(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 15, l: 3}. Give prob of picking 1 u and 1 l.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/21)*q**(6\/25) assuming q is positive.\nAnswer: q**(76\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3913502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2369557157 to the power of 1\/3, to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -826 (base 14) to base 15\nAnswer: -71c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -21\/5, 1\/4, -1\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43229958 to the power of 1\/2, to the nearest integer?\nAnswer: 6575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/sqrt(3) - ((sqrt(3) + 0 + sqrt(3))**2 + 5).\nAnswer: -17 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 100467 at most as big as 100463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + sqrt(272) + 2 + 5)**2.\nAnswer: 112*sqrt(17) + 1137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 20 = 0, 0*g + 72 = 3*w + 3*g. What is the lowest common multiple of 16 and w?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*v = 60*v + 96. Solve -v*i + 20 = -4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 205\/13703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1345.27304 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -4, -22?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 2. Let p = 7.364 + -7.364. Which is the nearest to p? (a) -2\/7 (b) 14 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -500 + 505. Which is the nearest to 52? (a) y (b) 0.1 (c) 4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2755*g + 2757*g + 29, 2*f + 38 = -4*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 9*t**2 - t + 10. Let h be b(9). Let p(o) = -o**3 + o**2 + o - 1. Let l(c) = -15*c**3 + 12*c**2 + 12*c - 12. What is h*l(g) - 12*p(g)?\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 29. Let p = v - -297. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2950272 divided by -46098\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34 - ((6 - 4) + (0 - -2)). Let n(k) = -k - 2 + 5*k**2 + 3*k + k + k**3 - k. Let o be n(-2). What is the highest common factor of o and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 n, and 1 p when three letters picked without replacement from {p: 4, n: 1, m: 3, l: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 45 = -3*c, 5*y - 2*y = 12. Let u(g) = g**2 + 11*g + 1. Let k be u(c). Is k*(3 - -14 - 3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -4 (c) 51355.8 (d) -0.1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 9. Let v be (2\/7)\/(a\/42). Let t = 3 - 2. Sort -0.5, t, v.\nAnswer: v, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 12. Let b = -0.1 + 0.5. What is the closest to x in b, -3, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 195\/(-135)) + 2 - 175\/9\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/84 and 47\/112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2. Let j(t) = 6 - 3 - 2 + 0. Suppose 0 = 2*z - 3*z, -z = u + 1. Let l = -8758 + 8760. What is l*n(x) + u*j(x)?\nAnswer: -2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-526.561.\nAnswer: 2106.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35943484783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 7.97. Let m = -0.02 - r. Let q = 2\/3 + -8\/21. What is the third biggest value in -4, q, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*o - 18 - 98, -5*o = 5*u - 540. What is the second derivative of -u*l**2 - 30*l + 21*l - 53*l wrt l?\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 17*l - 84*l + 73*l - 4.\nAnswer: -28*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115418, 230915, 346406, 461891, 577370, 692843, 808310?\nAnswer: 923771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15794687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 305 and 5.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlpwzzpuzwuz. Give prob of picking 1 w and 1 u.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4*a**2 - 5 - 2*a + (-1 - 1 + 0)*(-1 - 2*a**2 + 1))*(2*a - 7 + 7).\nAnswer: 16*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5352*z**4 - 5*z**2 - 5*z - 5484. Let s(h) = 2676*h**4 - 3*h**2 - 3*h - 2743. Let f(t) = 6*o(t) - 10*s(t). Find the first derivative of f(n) wrt n.\nAnswer: 21408*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*o + 3*o = -8, 0 = 5*r - 3*o - 32. Suppose -3*q + 68 = -2*b, 7*b - r*b + 90 = 4*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42898 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7005648*f**5 - f**4 - f**3 - 67452627*f**2?\nAnswer: 420338880*f**2 - 24*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3677478940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 577*b + 14 - 413*b + 148*b as j + c*b and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.06512 * 0.3\nAnswer: 0.019536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3576977400602 + 3576977400602 - 10*i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/(-3663)*-66*(-9)\/23?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from acaracrrcrrcccarc.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -1) + -14*4\/(-8). Is 42 a factor of r*(2016\/15)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4291 + 582. Is -1 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*l - 7. Suppose z - l = -4. Let u = -0.603 + 0.633. Which is the nearest to 0? (a) u (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/3115 and -109\/32930.\nAnswer: 230510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4987886 divided by 2493943\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 2437 = 2486. What is the highest common divisor of q and 497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 0*f**3 + 0*f + 0 - 12*f**2 + 0*f**4 + 0*f**6 + 41\/210*f**7 - 17\/30*f**5. Find the third derivative of d(w) wrt w.\nAnswer: 984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**17*q*q)\/q*q*q**(4\/7)*q assuming q is positive.\nAnswer: q**(144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 5*q**2 + 236967103*q**3 - 236967143*q**3.\nAnswer: -40*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-16) + 1 + -3 + (-3626)\/(-112). Calculate the greatest common factor of n and 530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 0*d + 3 + 12*d**2 + 2 + 0 - 13*d**2 + 3*d. Determine h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 174 = -s - f, 5 = f. Let c be (-5)\/(532\/(-285)*3\/(-212)). Let p = c - s. What is the nearest to -1 in p, 0.1, 0.09?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 4*u. Let d be 0 + 4 - ((7 - 13) + u). Solve -d = -0*g - 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + -2 + (-20)\/10. Suppose -1153 = 2*n - 6*n + g*w, -2*n - 5*w + 599 = 0. Is 66 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*u - 2520 = 0, -2517 = a - 4*a + u. Let d = a - 12601\/15. Calculate the common denominator of (7\/5)\/(12\/(-10)) and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 765 - 1471. Let f = 709 + l. Let -2*c - 4*c**2 - 4*c**f - 2\/5 - 2\/5*c**5 - 2*c**4 = 0. Calculate c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1)*j)**(3\/2))**(-12))**12 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -582.84 to the nearest 10.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.156851 rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -7.04. Let u be 40\/(-150)*164\/(-32) - 9\/(-30). What is the smallest value in -0.2, u, 2\/3, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28891 and 3173.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 118959118 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 11*l**2\/4 - 8363*l\/4 - 14770 = 0?\nAnswer: -7, 8440\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 463 and 463 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 202696 and 416?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 39853*(-6)\/2700 + 6\/27. Let b = a - -175\/2. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195825 divided by -5?\nAnswer: -39165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.15? (a) 0.07 (b) 2\/9 (c) -20 (d) -9 (e) -0.4 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 3}. Give prob of picking 2 g and 1 v.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 908 + -3581\/4. Let s = f + -157\/12. Which is the third smallest value? (a) 5 (b) s (c) 0.2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-928.8057\nAnswer: 65.016399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(240))\/(-2*1*sqrt(10)))\/(-3*(3*(sqrt(648) - -1*sqrt(648)) - sqrt(648) - sqrt(648))).\nAnswer: -5*sqrt(3)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3186*s - 556*s + 119455 = 1058*s - 259745 for s.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -158. Let l = -62 + h. Suppose 0 = 5*y - y - 132. What is the remainder when y is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13cdb22 (base 14) to base 2.\nAnswer: 100100110001111110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1 + sqrt(320) + sqrt(60)\/sqrt(3) + sqrt(20) - 6*(sqrt(45)\/(1*sqrt(9)) - ((-6*(sqrt(5) + 0))**2 - sqrt(5))))*2.\nAnswer: 2*sqrt(5) + 2158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 436\/6*144\/96. Let u = -70 + n. What is the highest common divisor of u and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**3 + 27*w + 17*w**3 - 7*w**3.\nAnswer: -w**3 + 27*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9 + -3.2. Let a = d - -1.8. Let j = 1.5 + a. What is the biggest value in 0.1, j, 2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 203, 442, 769, 1178, 1663, 2218?\nAnswer: 2837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-3))*z**(-6)\/z)\/(z**(-3\/4)*z**(-1\/2)))**(1\/17) assuming z is positive.\nAnswer: z**(-35\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 365 - -81. Suppose 3*k - 5*k - r = 0. Let i = -114 - k. What are the prime factors of i?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83.6 + -77. Let x = r + -6.6000135. Round x to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18963 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -139844012 divided by 19977716?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(125) + sqrt(125) + 2 - sqrt(125)) + 2*sqrt(125) + 2 + -3.\nAnswer: 11 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 10 = 2*b + 6, 0 = 5*b - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + sqrt(2736) + -3)**2 + (-3 + sqrt(2736) + -1)**2).\nAnswer: -336*sqrt(19) + 10994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {e: 2, j: 1, y: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 12*l**2 + 9*l + 35. Let y be v(11). Solve -2*i - y = -5*h, -2*i - 2 = -2*h + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+12472\nAnswer: 12467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 7*y**2 - y - 5. Let m be u(-7). Suppose m*o + 372 = -260. What are the prime factors of (-36)\/24*o\/6?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6787651261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 60.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 15*f**2 - 59*f - 1018. Let p be c(-14). Solve -10 = p*u + 3*a - 3, 4*u + 4*a + 4 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15110*k - 15110*k - 2*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13020*q - 8276 wrt q.\nAnswer: 13020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4074, 4099, 4124, 4149, 4174, 4199?\nAnswer: 4224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1862*w**2 - 1 - 1808*w**2 + 0 in the form h*w**2 + m*w + z and give h.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**5\/20 - 3*u**2 - u + 6. Let i be l(0). Does 15 divide 796\/7 - i\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - 3*5\/5 - (61 - 63).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564*j + 6028 = -655*j + 1356*j for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*a = 1370*a - 3280 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3 - 7\/6*i - 1\/6*i**4 - 3\/2*i**2 - 5\/6*i**3.\nAnswer: -(i + 1)**3*(i + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*-3*(-4)\/24. Let k be 2 - (-5)\/(15\/24). Let n = k - 10. Solve v + 0*v + h = n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 439*r - 70*r**2 - 439*r in the form f*r + u + w*r**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.27 - -10. Let t = m + 1.37. Let b = 1 - t. What is the nearest to b in 1\/2, -4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (2 - -7 - 7 - -2)) + (-3 - -17).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/966 and -11\/20?\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 3 = -5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*q - 111 + 184 = 0, 0 = 3*y - 2*q - 42 - 19 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 9 (b) -0.3 (c) 4\/3 (d) -0.1 (e) 46 (f) -713 (g) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1716032 rounded to the nearest 10000?\nAnswer: -1720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 2:47 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 658*c - 13. Let r(a) = -439*a + 9. Give 5*q(i) + 7*r(i).\nAnswer: 217*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1651*l - 3289 + 5122 - 38155 = 0 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 98126.907 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5968.1872*0.2\nAnswer: 1193.63744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12))**(-32)\/(z**(-15)*z*z\/(z\/(z*z\/z**(-8)))*z) assuming z is positive.\nAnswer: z**387","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 156678713*f**3 - 5*f**4 - f**2 - 156678713*f**3 - 514*f in the form i*f**3 + s + z*f + m*f**4 + w*f**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*c + 486 = -229*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -93)*261*391\/136068?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39329 or -39319?\nAnswer: -39329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*12\/24*3\/(-2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0494 - -0.146. Round s to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 7*j**2 - 6*j + 2. Let k be y(-7). Let p = -5 + 25. Let g = -9 + p. What is the greatest common divisor of g and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u + 45 = -18*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 10:10 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -414.9 + 348. Let z = p + 67. Which is the third biggest value? (a) 3\/5 (b) -0.5 (c) z (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12544249?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 - 2\/5*r**5 + 2*r**4 - 10*r**2 - 16*r - 32\/5.\nAnswer: -2*(r - 4)**2*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111 and 3210.\nAnswer: 118770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12425 and 10.\nAnswer: 24850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**6\/360 - q**3\/3 - 1. Let p(f) be the third derivative of h(f). Let k(c) = 19*c**2 - 16*c**2 + 4 - 4. Determine p(k(g)).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-98)\/441*(-72)\/2. Let d(a) = 2*a - 8. Calculate d(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3327688 and 980.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 523697608 a multiple of 1102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 0, 1 in decreasing order.\nAnswer: 1, 0, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3347\/6694*(-8)\/2*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 1 + 0*k - 3)*(34 - 34 + 133*k).\nAnswer: 266*k**2 - 266*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 191425.5.\nAnswer: 191425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 966?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1003 divide 2279819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009248 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**2 - 1638*w = 0.\nAnswer: -546, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*(-1)\/6)\/(5*(-138)\/(-30))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2 - p**4 + 0 - p**2 + 3 to the form i*p**4 + f*p + y + t*p**2 + b*p**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134 + -130. Let n be 3151788\/102 + t\/34. Round n to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31, 43, 69, 115, 187, 291, 433, 619?\n\"Answer: y**3 + y**2 + 2*y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202210002012 (base 3) to base 7.\nAnswer: 3322334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/8 - 3\/(-12). Let u be (2\/(-4))\/(3*3\/(-306)). Let x = u + t. What is the highest common factor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 4*o + 303. Determine h(27).\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3)\/(h\/(h\/(h\/(h\/((h*h**(-2)*h)\/h*h))))*h*h)*(h\/h**3)**(-35))**(-5\/2))**(-33) assuming h is positive.\nAnswer: h**(10725\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/22)\/((-31)\/(-682))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - v**2 - 4*v - 8. Let g be n(-2). Suppose -m = 4, g*h - 209 = -5*m + 67. What is the smallest common multiple of 2 and h?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 13*d = -16*d + 2, -2*u - 34 = -6*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 6*q - 6. Solve -5 - 5 = -q*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1377.9677 - -1379. Let c = 0.0323 - p. Sort 3\/2, c, -3.\nAnswer: -3, c, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 3*a - 7. Let k be t(-5). Let c(w) = 2*w**3 + 3*w**2 - 2. Let j be c(-2). Let m = -3 - j. Solve -k*z + 3*v + 0 + 9 = 0, -m*z - 6 = 2*v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 55\/(-15) + 4 - (-2)\/(-6). What is the closest to d in -5\/4, -3, 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 + -2.2. Which is smaller: f or -2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 + 4*w - 3. Let t be f(1). Suppose -42 = t*b - 11*b - 3*j, 2*j = -5*b + 43. Solve -10*c + 3 = -b*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1. Let c(r) be the third derivative of -r**4\/24 + 4*r**3\/3 + 5*r**2. Let p(n) = -c(n) - 2*l(n). Let x be p(12). Which is bigger: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/9 - (-28)\/6. Suppose -w*p = -p. Suppose 5*z - 463 + 18 = p. Is z 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 1782681371?\nAnswer: 823, 2166077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 520263 and 729.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (6 - 2)) + 15 + 5 + -22?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 53. Suppose r - 3 = -j + 4, -r - 5 = -z*j. What is the second derivative of r + 13*o - 58*o + 34*o**4 - 3 wrt o?\nAnswer: 408*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/22 and 29\/(-14) + (2*-3)\/3?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11241 + 122352?\nAnswer: 133623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/714 and -3\/833?\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 7 + 0)*(-q**2 + 0*q**2 + 2*q**2) - q + q + 3*q**2)*(-3*q + 1 - 1) to r + n*q**2 + v*q**3 + h*q and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -572 and -9?\nAnswer: 5148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 - 2)\/(-18))\/((-5)\/10). Which is bigger: -75 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 458.\nAnswer: 4122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-414*o - 690 + 345 + 345)*(-5*o + 2*o - 4*o) as s*o + g + u*o**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from {q: 2, w: 7}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 19*v**2 + 18*v + 3. Let n be o(-18). Suppose -n*u + 27 = -0. Suppose -5*f = -u*f + 480. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 603 and 36381?\nAnswer: 109143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 14*r**2. Let l(z) = -12*z**2 + 5*z. Let j(x) = 19*x**2 - 8*x. Let i(p) = 5*j(p) + 8*l(p). Determine w(i(t)).\nAnswer: 14*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, w: 1, f: 5, h: 3, l: 1, q: 2}. What is prob of sequence wq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -320.9 + -701. What is s rounded to the nearest ten?\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((119\/1666)\/((-2)\/1 - -3))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/5908428 and 109\/11070.\nAnswer: 88626420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32036231 (base 7) in base 15?\nAnswer: 389808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 9 = -4*k + 4, -3*q + 4*k + 7 = 0. Let u = -2 + q. Is 15 a factor of ((-3)\/u)\/((-1)\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110504 and 1976?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -82, -225, -366, -505, -642?\n\"Answer: p**2 - 146*p + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**13*b**(-5\/4)*b)\/((b*b*b\/(b*b**(-2\/7)))\/b)**(-50) assuming b is positive.\nAnswer: b**(1457\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**2 + q - 257. Suppose 3*w - 4 - 9 = h, 5*h - 4*w + 10 = 0. Calculate m(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 226.04 - 226. Suppose -t - 4*z - 14 = 0, -19 - 30 = 5*t - z. Let h = t - -7. What is the third smallest value in -4, l, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(114)\/(sqrt(6) - -6*sqrt(216)) - (-2 + sqrt(304) - (sqrt(19) + 0)*2)))**2.\nAnswer: -584*sqrt(19)\/37 + 123155\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 62.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14020 + 28731. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 0*o**2 - 2 + 5 + 3*o**2. What is the remainder when w(3) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 1. Let w(t) = -2*t**3 + 14*t**2 - 43. Let m = 178 - 177. Let r(j) = m*w(j) + 2*v(j). What is the derivative of r(b) wrt b?\nAnswer: -6*b**2 + 32*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 15*y - 45. Let c be u(7). Suppose -c*k + 20 = -55*k. Solve 0 = s - k*s - 3*z, 16 = 4*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-624)\/(-60))\/13)\/((-2)\/55)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*m**3\/7 + 2076*m**2\/7 - 2346*m\/7 + 416\/7 = 0. Calculate m.\nAnswer: 16\/73, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2119 is divided by 112.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 16*n**2 - 21*n - 67. Let d be o(-17). Suppose -4*v = -4*w - 4, 4*w + 4*v + 6 = 18. Let h be (1 - (1 - w))*-1. Which is bigger: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*x - 513 = 279, 0 = 5*x - 30. Calculate the remainder when k is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/(-16))\/((-2)\/16). Suppose -4*y - 12 = 0, -3*t - y + u = -2*y. Solve -10*v + t*v + 10 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -6, -3, -20, -4 in ascending order.\nAnswer: -20, -6, -4, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 10 = 5*p, 22*b + 6 = 3*p + 78*b - 22*b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111065050 rounded to the nearest one hundred thousand?\nAnswer: 111100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15385158 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: b\"What is the mth term of -222, -3737, -13284, -31881, -62546?\n\"Answer: -503*m**3 + 2*m**2 + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160689137 to the power of 1\/4, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15510 - 19831\nAnswer: -4321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 138906\nAnswer: 1\/69453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15692670 and 6615?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -117898*x**2 + 2. Let f(r) = -43*r**2. Give m(f(h)).\nAnswer: -217993402*h**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 188 - 26 = 0. Let o = -120 - d. Calculate the common denominator of o and 1\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.6 - 16. Let a = -0.4 - j. Let u = -0.1 + 0.3. Put -2\/7, u, a in decreasing order.\nAnswer: a, u, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 830 - 830. Which is the smallest value? (a) -28\/11 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/330 and 47\/2463?\nAnswer: 270930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -43*v**2 - 296*v - 31. Give w(-7).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31\/9000 - -1831\/9000. Factor c*h**3 + 6\/5*h - 16\/5 + 9\/5*h**2.\nAnswer: (h - 1)*(h + 2)*(h + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22*-7*(-4)\/154?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456609.03 rounded to the nearest one hundred?\nAnswer: 456600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 + 42\/(-72). Let w = -5.2 + 0.2. Which is the closest to n? (a) w (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 31 + 101. Solve -5*l + u = -w, -4*w - 3*l + 2 = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -749*r**3 + 17*r**2 + 24*r - 335. Is q(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 302492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, n: 2, t: 1, k: 2, u: 3, m: 2}. What is prob of sequence au?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, u: 4, q: 3, v: 1, w: 2, z: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -39972903?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 11, c: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 709 = -697 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5\/7)\/(q*q**(-7))*(q\/(((q\/(q**1*q))\/q)\/q*q))\/(q**2*q) assuming q is positive.\nAnswer: q**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times -2?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -155, -233?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fixifxxiiixiffxxi. What is prob of sequence fi?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adpaaaeahwadeaapd. What is prob of picking 1 p and 1 d?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -2.3 (c) 3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-6)\/20)\/(2\/5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1008\/(-704) + 14\/((-224)\/(-20)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 5:07 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 42*f**4\/5 - 136*f**3\/5 + 124*f**2\/5 - 8*f\/5 - 22\/5 = 0?\nAnswer: -1\/3, 1, 11\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = -6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crrr when four letters picked without replacement from {r: 2, c: 11}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19441, -19440, -19451, -19480, -19533, -19616, -19735?\n\"Answer: -d**3 + 8*d - 19448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18799*q + 6389*q + 647884 = -369736 for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-448)\/(-104) - 4) + 567375\/5525?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**4\/2 + l**3\/3 + l**2\/2 + 2*l - 2. Let v be m(-2). Solve 2*r + 3*r - v = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2968 - 5975*u - 2965 + 5979*u. Let p(r) = -4*r - 2. Let z(q) = -q**3 - 8*q**2 - 8*q - 4. Let w be z(-7). What is w*p(c) + 2*j(c)?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 132 - 24. What is the highest common factor of u and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -1\/2 (c) -534 (d) -1\/82 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -23?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1674*a + 1364*a - 9300 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*u + 964 = 5572. Solve u*z + 135 = 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 13*y - 25. Let o be q(-11). Let k be (-1 + o)\/(-4 + 0). Sort 15, k, -3, -2 in decreasing order.\nAnswer: 15, k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 379 - 329. Calculate the greatest common divisor of 125 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -317435, 0 in ascending order.\nAnswer: -317435, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 + -39. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**3 - 5*k**2 - k - 1. Let r(f) = -15*f**3 - 14*f**2 - 2*f - 3. Calculate -11*b(y) + 4*r(y).\nAnswer: -5*y**3 - y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/67, -6106, -2?\nAnswer: -6106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-994)\/5*21 + (-2)\/10. Let c = f - -58515\/14. Find the common denominator of c and ((-218)\/33)\/((-8)\/6).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g - 1. Let o(h) be the second derivative of 0*h**3 + 0*h**2 + 6 + 6*h - 1\/12*h**4. Calculate m(o(s)).\nAnswer: 4*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 31. Let a be x(0). Let q = a + -22. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 610\/9?\nAnswer: 610\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + ((sqrt(70)\/sqrt(10) + 3 + sqrt(700) + sqrt(700) + 0)*6)**2.\nAnswer: 4536*sqrt(7) + 111452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79503687 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3877, 3873, 3869, 3865, 3861, 3857?\n\"Answer: -4*u + 3881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 8, t: 6, w: 3}. Give prob of picking 2 c and 1 w.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**25*x))\/(x*x*x**(2\/7)*x))**7 assuming x is positive.\nAnswer: x**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) 4 (c) -48 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 319336, 319338, 319340, 319342, 319344, 319346?\n\"Answer: 2*w + 319334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1981328 times -0.4\nAnswer: -792531.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/85 > -10\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 7*u**2 - 5*u + 9. Let f be i(-6). Sort 5, 4, f, 1 in increasing order.\nAnswer: 1, f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9206, -9182, -9112, -8972, -8738, -8386?\n\"Answer: 4*t**3 - t**2 - t - 9208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 454505239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 4*h**2 - 4*h - 7. Suppose 2*z = -y + 36, -4*z + 4*y - 5 = -53. Let f = z - 11. Let x be o(f). Round x to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/128*(-266)\/7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85345?\nAnswer: 5, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 85, 107, 149, 217, 317, 455?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 167327.76993191 and 0.5?\nAnswer: 167327.26993191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27493199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**2\/2 - 3. Let y(z) = 669*z - 335*z - 334*z - 4*z**2. Give y(u(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 6*w**2 + 5. Let f be k(6). Suppose -412 = -f*g + 273. Let q = g + -94. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 205*l**4 + 65*l wrt l?\nAnswer: 2460*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**5 + 57*d**5 + 72*d**5 + (-4*d**2 + 2*d**2 - d**2)*(-3 + 3 + 2*d**3) - 1 - d**5 + 1 + (2*d**4 - 3*d + 3*d)*(-4*d + d + 5*d) - d**5 + d**5 + d**5.\nAnswer: 122*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.133, -85, 4, -8 in ascending order.\nAnswer: -85, -8, -7, -0.133, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (2 - 5) - 4 - -5) + 4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -322 + 322.1. Which is the smallest value? (a) -11.1 (b) -2\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 0*o**2 + 0*o**2 + 5145*o - 5145*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g - 6. Suppose -i + g + 0 = 0. Suppose 5*s + 4 = -6. Sort s, i, -4 in increasing order.\nAnswer: -4, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:47 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-404)\/6 - (-6 - (-369)\/54). Let g = 14177\/210 + x. Find the common denominator of 71\/15 and g.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -25 - 13*z**3 - 12*z**3 - 5*z - 10*z**3 - 40 - 19*z**2 + 34*z**3. Determine b(-19).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 3*h + 3*h)*(405*h**2 - 338*h + 338*h).\nAnswer: -810*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 345 = 5*k, -5*k + 0*y + 370 = -2*y. Suppose -p + k = 5*w, 12 = -3*w + 7*w. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 111.\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301343 (base 5) to base 9.\nAnswer: -14144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100704931?\nAnswer: 100704931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18895 + 59695\/3. Let o = -1021 + q. Calculate the common denominator of -52\/9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (952\/3)\/4 - (-2)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/4)\/(3\/(-4)). Let r(a) = -a**2 - a + 3. Let s be r(-4). Let q be (-3)\/(-2)*30\/s. Is q > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 0*n**2 + 8 - n**2 - 2 + 5*n. Let h be u(5). Suppose -3*o + o = h. Is o at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 218*n**2 - 4474*n - 6917. Calculate u(237).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 37 + (-6)\/48*0. Calculate the common denominator of 26\/7 and n*((-129)\/335 - 2\/(-5)).\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*w**2 - 14*w**2 - 33*w**2)*(-4*w + 5*w - 3*w)*(-4 + 4 - 1).\nAnswer: -66*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -685*h + 55 - 2*h**2 - 92*h - 54 - 680*h in the form v + t*h**2 + z*h and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/(-40) + 8 - (33 - 28)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17534416*j*l**2*n**3 - 2*j*l**2 + 399*l**2*n - l**2 - 49*n**3 wrt j.\nAnswer: 17534416*l**2*n**3 - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 114362 and 0.4.\nAnswer: 114362.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4329*b**3 - 13083*b wrt b.\nAnswer: -25974*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -661*l + 3890 - 3993 + 103.\nAnswer: -661*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*z - 148*z + 634 = 156*z. What is the remainder when 666 is divided by z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6562399 is divided by 1982.\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(1425\/(-30)))\/((-208)\/(-640))?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.75 - 15?\nAnswer: -3.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/5, 0.5, -0.0544 in ascending order.\nAnswer: -0.0544, 0.5, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -544, -550, -560, -574, -592, -614, -640?\n\"Answer: -2*f**2 - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 4. Suppose 3*n = 5 + 13. Calculate the remainder when 31 is divided by j(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1184 - 1446. What is the closest to x in 4, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/15 + 44972*a**2\/3 + 6320027584*a\/15 - 12640954624\/15.\nAnswer: 2*(a - 2)*(a + 56216)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 154616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.98 + 0.02. Let i = -2.97 - 37.83. Let r = 39 + i. Sort u, 1\/4, r in increasing order.\nAnswer: r, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1596 - 389. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20)\/sqrt(10) + 4)*5.\nAnswer: -20 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 4, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j - 65. Let c be s(-9). Which is smaller: -18\/13 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10681 + -10663. Solve -i - 20 + w = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1783 - -0.1786204. What is r rounded to 5 decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/4 + 88141*l**2 + 31077106269*l\/4 + 155367903645\/2 = 0. What is l?\nAnswer: -176277, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 560361593, 560361590, 560361585, 560361578, 560361569, 560361558, 560361545?\nAnswer: 560361530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32751 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -501 + 523. Calculate the remainder when 364 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -8 - 2. Let u(x) = -2*x**3 + 42*x**2 + 15*x + 646. What is the smallest common multiple of u(22) and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l - 3. Suppose 8 = -2*m, 2*m = 5*p - 2*p - 14. Let h(z) = -145*z + 35. Let k(f) = p*h(f) + 25*u(f). Let x(v) = -5*v + 2. Give 2*k(w) + 5*x(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*x - 25, u + 4*u = -4*x - 22. Calculate the remainder when u + 3 + -5 + 7 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c = -2*c - 567. Let n = 192 + c. Calculate the remainder when n is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*j = 117*j - 108. Solve 2*x = 7*x + 20, j = 5*r - 3*x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.936943 to two decimal places.\nAnswer: 16.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 789929 divided by -4?\nAnswer: -789929\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1768 and 61540?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*s**2 + 232*s**2 - 96*s**2.\nAnswer: 245*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -22730*h - 45448. Determine c(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.1, -5, -63, -3, -4721 in descending order.\nAnswer: 3\/4, -0.1, -3, -5, -63, -4721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 29, -2.2, -5 in decreasing order.\nAnswer: 29, 1\/2, -2.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -3, 0, 1, -0.21, 406 in increasing order.\nAnswer: -3, -0.21, -0.07, 0, 1, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w - 2*w**4)*(2 - 1 + 1) + (-4 + w + 4)*(-w**3 + 0*w**3 - 3*w**3).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/26 + -35\/78. Let x = 0.23 - -0.09. Let a = -0.22 + x. Is a at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*99\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18003990*w**3 + 2471*w + 2443 wrt w.\nAnswer: -108023940*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/36 + 0 - ((-2191)\/(-36))\/7 and -71\/3292.\nAnswer: 9876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50654 take away -2077678?\nAnswer: 2027024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 152 - (-3)\/(-3 - -6). Let b(i) = -304*i**2 + 152*i**2 + t*i**2. Let z(n) = -20*n. Let y(k) = -19*k. Let m(w) = 3*y(w) - 2*z(w). Calculate m(b(x)).\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -1691, -3\/7, -21?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from vhthvtvthhht.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 + 4*w. Let s(z) be the second derivative of z**3\/6 + 17*z. Determine n(u) - 4*s(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 - -139?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*z + (-z + 0*z + 2*z)*(0 + 0 - 1))*(7 + 2 - 1)*(1 - 2 + 3)*(-2 + 5 + 0).\nAnswer: -192*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19460137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**5\/7 + 646*x**4\/7 + 942*x**3 + 21898*x**2\/7 + 26608*x\/7 + 10656\/7 = 0.\nAnswer: -4, -1, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -79*a + 22. Let j be v(-4). Let f(x) = 171*x - j*x + 163*x. Let m(q) = 4*q. Determine f(m(k)).\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 + -167. Let d(h) be the second derivative of 0*h**s - 1\/3*h**3 - 3*h + 0. Let u(p) = -6*p**2. What is u(d(l))?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1360 + -1141. Is 29 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127477 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -1\/3*c**3 + 2*c + 7\/2*c**2 - 3. What is the units digit of a(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63305, 63291, 63263, 63215, 63141, 63035, 62891?\nAnswer: 62703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 592*q**2 + 21604*q - 22200.\nAnswer: 4*(q - 1)*(q + 74)*(q + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1093*x - 547*x - 543*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 185 - 17 = 0. Calculate the remainder when p is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 18725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122318 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3 = m, -2*m + 0 = -3*p + 3. Let r be 1*(-10)\/2*p. Let w(a) = a**3 - 5*a**2 + 4*a + 2. Let o be w(4). Put 1, o, r in descending order.\nAnswer: o, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322 = -21*f - 2*f. Let v be (2\/4)\/((-91)\/f)*2. Sort -1\/4, v, 0.4 in descending order.\nAnswer: 0.4, v, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2511*h + 1841*h + 283*h + 6612*h)*(4 + 0 - 5).\nAnswer: -11247*h","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: ((495\/12)\/11)\/(72\/192)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (12 - 26) + 7 + 39 + (-12 - -9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3830.\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 34, 0.5, 12857, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(980) + (sqrt(980) + -1)*5) + (0 + sqrt(980) + sqrt(980) + 1)**2 + (sqrt(980) - (4 + sqrt(980) + -1)**2 - sqrt(980)).\nAnswer: -532*sqrt(5) + 2962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687.6284um to centimeters.\nAnswer: 0.06876284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76a86a (base 16) to base 4.\nAnswer: 131222201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (78\/(-91))\/((-1)\/7). Let q be 40*(4 - 5)*-10. Suppose -s = -g*s + q. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -161 or -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*w + 27 = 0, 4*w = -0*i + i - 33. What is the remainder when i is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116113998?\nAnswer: 2, 3, 7, 11, 13, 19333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543 is divided by 1522.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o + 0*o)*(-5*o**2 - 9*o**2 - 2*o**2) + (2*o - 2*o + o)*(-5*o**2 + 2*o**2 + o**2).\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1963824*-0.4\nAnswer: 785529.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.006 in -5, -0.4, -0.077, 4?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/223031 or -1?\nAnswer: 6\/223031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -429.9 + 429.91. Put f, 0.2, -14 in decreasing order.\nAnswer: 0.2, f, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 232. Let i = s - 84. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*a**4 + 122.\nAnswer: -244*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 123*c - 633. Let q be w(5). Solve q = 122*m - 115*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*6 + 3*sqrt(300))\/(sqrt(4) + -1*sqrt(324) - sqrt(36)\/sqrt(144))*-1.\nAnswer: 52*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316613950?\nAnswer: 2, 5, 17, 21911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 3*d = 156. What is the smallest common multiple of 2 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*x - 1, -4*x + 5*r + 1 + 2 = 0. Let o = 239.9 + -131.3. Let w = -109 + o. Which is the third smallest value? (a) x (b) 2\/13 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z + 720 = 38*z - 16*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/890 or -1?\nAnswer: 7\/890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(7\/3)\/l*l)))\/l*l*(l*l**(-2\/7))\/l*l)**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(1\/9)*b**(-1\/4)*(b\/b**(2\/7)*b)**(1\/16) assuming b is positive.\nAnswer: b**(61\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18016102, 18016101, 18016100, 18016099?\n\"Answer: -j + 18016103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*f**3 + 7*f**3 + 7*f**3 + 8*f**3 + 20*f**3 - 20*f**3.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 2*u - 24. Calculate i(9).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3 + -15 + (8 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 60164, 240626, 541376, 962402, 1503692?\n\"Answer: -2*p**3 + 60156*p**2 + 8*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 1. Let j(m) = 4*m**3 - 3*m**2 + 8. Suppose -2546*q - 255 = -2631*q. What is q*k(d) + j(d)?\nAnswer: 4*d**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 67579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144*w + 20*w - 132*w - 129*w - 121*w to y*w + i and give y.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 1. Let w(f) = 28*f - 2. Let v(i) = -5*i**2 + 19*i + 113. Let a be v(7). Determine a*w(m) + 2*g(m).\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (288\/120)\/((2368\/1440)\/(-74))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -51092571.\nAnswer: -4\/51092571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*c - 3, -26*y = -31*y - 2*c + 14. Solve -3*t + 5*i - 36 = 0, 31 + 1 = -y*t + 4*i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 2*w**2 + 2*w - 1. Let x be o(1). Suppose 18 = -3*y - x*y. Let c be 0\/2 - y\/3. Solve -u = -3*z + 16, 5*z + 2 = -c*u + 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950 is divided by (1*6)\/1 - 678\/36*-6?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*n*s*w + n*w + 3*s**2 - s*w - 9*w wrt s?\nAnswer: 30*n*w + 6*s - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*s + 29, 4*r - 14 - 6 = 0. Let f(n) = -s*n + 2 - 11 + 4*n + 0*n. Let d be f(7). Solve -q + 0 = d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 406333 - -26?\nAnswer: 406359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (4 + (-20)\/5 + -14). Let x = -16 - -49. Let q = m + x. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -0.15, 2, 5 in increasing order.\nAnswer: -0.15, 0.08, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.23 in 5, -2\/11, 2\/9, -15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565*s - 36401*s**2 + 3812*s**2 - 565*s.\nAnswer: -32589*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tllqjffltfjffftql. What is prob of picking 1 t, 1 q, and 2 j?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h - 2*h + 13 + 19*h wrt h.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/sqrt(4))\/sqrt(3) - (-1*sqrt(304) - sqrt(19))) + 1.\nAnswer: 1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from {c: 2, y: 13, g: 3}?\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.7326 micrometers to nanometers.\nAnswer: 55732.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 - 46. Suppose -t + 5464 = 3*t + b*x, -5*x = t - 1378. Suppose -5*i - 3293 = -4*l, t + 251 = 2*l + 4*i. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9443, 1\/7, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 0.156, 1\/4, 2, 2\/9 in ascending order.\nAnswer: -2, 0.156, 2\/9, 1\/4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 8:33 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 2*w**2 - 3*w - 2. What is z(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -446, -693?\nAnswer: -940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -9) + -6 + 3 + 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*r - 283, -2*k = -r + 5*r - 190. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from hpjnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4768516599 to the power of 1\/2, to the nearest integer?\nAnswer: 69054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6, 5*v = -d + 1 + 20. Let i(w) = -w**2 + 0*w + 5*w + 5 + 0*w**2 + 1. What is i(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*w + 5*g, 2*g = -3*w - g + 30. Find the second derivative of -8*t**2 + w*t - 12*t - 8*t wrt t.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 319*m**2 - 1945*m + 18. Determine p(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 > 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2)*(-1)\/(-258). Let t = v + -353\/1548. Which is the biggest value? (a) -1 (b) t (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 459479?\nAnswer: 45947a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (518*a - 508*a + 2 - 3)*(2 - 2 + 4*a).\nAnswer: 40*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d**3 + 13*d**2 + 5*d - 6. Let o(h) = h**3 + h**2 + h. Let n = 198 + -212. Let t(z) = n*o(z) + 2*r(z). Factor t(q).\nAnswer: 4*(q - 1)*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*z = 16*z + 510. Calculate the highest common divisor of 180 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n*n**(-1)*n*n)**(15\/4)*(n*n\/n**3)\/(n**(-5)\/n))**(22\/9) assuming n is positive.\nAnswer: n**(1045\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(28\/9)*u*u*u*u)\/(u\/((u\/((u\/(u*(u\/(u*u**30))\/u))\/u)*u)\/u))*u\/(u\/u**(1\/7))*u\/(u**(-11)\/u)*u assuming u is positive.\nAnswer: u**(-880\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -143829*g**2 - 174962 wrt g?\nAnswer: -287658*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42, 169, 380, 675, 1054, 1517, 2064?\n\"Answer: 42*f**2 + f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 490*v**4 - 495*v**4 - v**3 - v - v - 1 to the form c*v**3 + f*v + x*v**4 + g + h*v**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + -12. Let w = c + 52. Suppose 27 = 3*a - 27. What is the greatest common factor of a and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/15761 (b) -0.5 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from ppwppwwpgbbbpp?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 + 69*z**3 + 140*z**3.\nAnswer: 203*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 136247 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c846 (base 15) to base 14.\nAnswer: 901c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s**4 + 57*s**3 + 96*s**2 - 63*s = 0. What is s?\nAnswer: -7, -3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0.2095.\nAnswer: -0.2095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a + a)*(0 + 5 - 3) + 2*a - a - 2*a - 34 + 37 + 1677*a - 2803*a.\nAnswer: -1123*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11*v. Determine r(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -f - 7, -2*f - 2*h + 7 - 11 = 0. What is the greatest common divisor of 44 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/2916 and 149\/18.\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*d = g - 82, 5*g + 5*d - 115 = 0. Let o = g + -16. Let c(w) = 3*w**3 - 3*w**2 + 4*w - 3. What is the tens digit of c(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s - 30*s + 15 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 - 22*q + 10. Let k be f(-7). Suppose 4*l = -4*v + k, -15*l = -10*l + 5. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/12 - 6\/8. Let d = p + -3. Let f = d - -7. What is the lowest common multiple of 6 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 91935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (6\/(-14) + 322\/(-49)). Let j(l) be the third derivative of -l**4\/12 - l**3\/2 - l**2. Let z be j(-3). Solve -5*b = -g - z, g = -2*b - 2*g + f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -604630826287\/4322165586 + 146410\/649559. Let j = 3\/2218 - h. Let a = -141 + j. Sort -6, a, -2 in descending order.\nAnswer: a, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 3, 19, -31, 1, -2.\nAnswer: -31, -22, -2, 1, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + 5*(sqrt(171) - (sqrt(171) - 3*sqrt(171))))*-1)\/(((3*sqrt(126))\/sqrt(2))\/sqrt(7)).\nAnswer: -16*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(36\/(-33))*12. Let v = -30 - t. Solve -f - f + v*s = -20, -4*f = -2*s - 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.37 and -174.\nAnswer: 64.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 90*f**2 - 573*f - 287. Calculate i(96).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -54054689 divided by -54054689?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (-1 + sqrt(320)*3)) + 2 + 1 + 2 + -1 + 1*sqrt(320) + (sqrt(320) + -1 + sqrt(320))*-4)**2*-2.\nAnswer: -52002 + 2592*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2*g*g**(-4))**(13\/7) assuming g is positive.\nAnswer: g**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 499738219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**2 + 42*m + 30. Let d be w(-12). Calculate the highest common factor of 1248 and d.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/40 and -41\/3160.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 59*k + 3794. Let d be b(59). Calculate the highest common factor of 150 and d.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/29)*d)\/(d**(-10)\/d))\/((d*d**(-1\/24)\/d*d)\/d**18))**(-9\/5) assuming d is positive.\nAnswer: d**(-60567\/1160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 2*z - 1. Let c be m(-2). Let b be (c\/(-2))\/(105\/1578). Let d = -34\/5 + b. Calculate the common denominator of 42\/13 and d.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n**2 - 6*n - 5. Let u(j) = 7*j**2 + 7*j + 6. Let i(w) = -5*q(w) - 4*u(w). Let c(m) = m**3 + 2*m**2 - 1. Let z be c(-2). Give i(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 94. Let y = -56 - u. Let g(d) = -7*d**2 + 13*d. Let m(t) = -12*t**2 + 23*t - 1. Let h(s) = -5*g(s) + 3*m(s). Determine h(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 282*h**3*r**3 - 778*h**3*r**2 wrt r?\nAnswer: 1692*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(8) + sqrt(16)\/sqrt(2)) - (sqrt(19) - sqrt(304)*2))**2.\nAnswer: 4275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19\/7 - (-18)\/63. Let u = 1 + 1. Suppose -4*n - 5*y = -208, -u*y = o*n - 0*y - 156. Calculate the remainder when 205 is divided by n.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - 4*(sqrt(117)*-2 + sqrt(117)) - sqrt(117))\/(sqrt(1089)*1).\nAnswer: 4*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 12 = 3*k, -4*k = -7*k - 5*s + 12. Suppose -5 = 5*r + 5*z, 2*r = 3*z - 4*z + 3. Solve r*j - 3*j = -k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-9)*(-2 - 3935\/15). Does o = 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3 + 52*q**2 - 814*q = 0. Calculate q.\nAnswer: -37, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 3*m**5\/10 - 4*m**3\/3 + 7*m. Find the second derivative of d(k) wrt k.\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -46.7. What is the third smallest value in 0.7, 0.2, t?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 1:55 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4757 and 820147.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1979 + 1987. Suppose 3*d - 1 - 5 = 0. Calculate the lowest common multiple of n and 46\/6 - d\/3.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -0.71 (c) 3 (d) -2\/21 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 636990?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96635835?\nAnswer: 3, 5, 31, 43, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -266*z - 14. Let u(d) = 265*d + 17. What is -6*g(a) - 5*u(a)?\nAnswer: 271*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15292 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 12 - 6*p**2 + (0*p**2 + 0*p**2 + 2*p**2)*(-3 - 1 + 2) + 4*p**2 + 0*p**2 - 5*p**2 + 2 - 2 - 2*p**2.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, o: 2, p: 3, w: 4}. What is prob of picking 1 p, 1 w, and 2 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 2, d: 1, k: 1}. What is prob of sequence kg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*l = 60 - 501 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 17*w**3 + 0*w**3.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2223031 - -122?\nAnswer: 2223213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - -0.3. Let w = 0.338 - -0.092. Let m = 0.03 - w. What is the second smallest value in c, m, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*16\/30. Let w = -369 - -369.3. What is the smallest value in i, 0.5, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = 4*a, 3*r + 16 = -5*a + 1. Factor r - 2\/7*x**2 - 2\/7*x.\nAnswer: -2*x*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 11:00 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15048, 15868, 17236, 19152, 21616, 24628, 28188?\n\"Answer: 274*w**2 - 2*w + 14776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 260\/3*m**3 - 78*m**4 + 0*m**2 + 314 + 0*m. What is the third derivative of n(o) wrt o?\nAnswer: -1872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2280 by -285.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + 2*sqrt(130)*3)*5)\/(sqrt(60)\/sqrt(96) - (sqrt(60)\/sqrt(3))\/sqrt(2)).\nAnswer: -140*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((94337\/(-145))\/((-2)\/(-10)))\/(-1).\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5 - (7 + 0) - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(12\/(-9)))\/(105\/(-61600)*-165)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4756)\/(-4350) - (-96)\/(-72)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/7 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1078.8796969 to two dps.\nAnswer: -1078.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 825333660?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + -45. Let n = g + 56. Let q = n + 16. Which is the nearest to 0? (a) -2\/5 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040666 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -228, -466, -724, -1002, -1300?\n\"Answer: -10*y**2 - 208*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103288 and 14.\nAnswer: 723016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 363747091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Let u(l) = 510314023*l. Give v(u(h)).\nAnswer: 510314023*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-6)*(-2 - 4). Suppose 9*k = 6*k + w. Suppose d - k*d = 0. Solve 2*i + 0*i + 4 = d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -83 (b) 7\/2 (c) 3\/8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w - 3*o - 2 = 0, 3*o = 2*w - 23. Let f(s) = -s - 1. Calculate the remainder when w is divided by f(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-10)\/20 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 242557+462\nAnswer: 243019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/25)\/((-5)\/(-975)). Let b(u) = u**2 - u - 95. Does 19 divide b(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2484 divide 192937248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = 2. Let t(h) = h**2 + 5. Let a be t(b). Let w = a - 11. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218\/157941*-63 - 481\/23.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*2*sqrt(200) + -1 + -1)**2.\nAnswer: -400*sqrt(2) + 20004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znrpzzpzzzzpzzzpz. What is prob of sequence zz?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -144 - v + 144. Let a(k) = -k**2. Determine a(h(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2272.662075 from -0.1.\nAnswer: -2272.762075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 - -108. Suppose -31 - f = -6*n. What is the highest common factor of 40 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 434 - 433. Let j be 1291996 + (h*10)\/((-35)\/(-14)). What is j rounded to the nearest ten thousand?\nAnswer: 1290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 (base 8) to base 3\nAnswer: 10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164656435?\nAnswer: 5, 587, 56101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 959268 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 79 = -43 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -121 + 3268\/27. Let h = -4 + 7. Suppose h = -11*s + 8*s. Which is bigger: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 + -618\/5. Put r, -50, -1 in descending order.\nAnswer: r, -1, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**2 + 74583*w + 1639374 = 0.\nAnswer: -24839, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 + 7 = -19*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42231, -84368, -126505, -168642?\n\"Answer: -42137*z - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(-6))\/a)\/a**(2\/13))\/(a\/a**0*a**(-2)*a) assuming a is positive.\nAnswer: a**(89\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7 + 9 + 0*j + 0*j + j. Let x be h(-14). Is (171\/x + -3)*-4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -14136*p - 56549. Determine b(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zaeyyyeyyeyzye. Give prob of sequence zaey.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/13203 and 19\/33?\nAnswer: 145233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 8:27 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256011 and 161?\nAnswer: 5888253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 6, i: 13}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (330\/22 + 258\/(-18))\/((-2)\/26328). Which is greater: t or -8775?\nAnswer: -8775","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 3:02 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/(-9))\/16*((-2)\/2 + -1). What is the closest to -1 in 1571, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3485 = 5*n + f - 6369, -4*n + 4*f + 7888 = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-208)\/12)*641\/1923\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 5 in decreasing order.\nAnswer: 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 12:14 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2 - 30 + 57 + 21*f - 29. Let l(j) = -25*j. What is l(q(r))?\nAnswer: -525*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -42, -42, -48, -60, -78, -102?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 44*r**2 + 125*r - 93. Determine x(41).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**3 - 202360*k**2 - 2832829*k + 3035190 = 0.\nAnswer: -202346, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/9)*l*l*l*l\/l**17 assuming l is positive.\nAnswer: l**(-119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p - 478 - 2 = 0. What is the greatest common divisor of p and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzpu when four letters picked without replacement from jjzpjjbbbpbttbptzbtu?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - h**2 - 2*h)*(10*h**2 - 13*h**2 + 13*h**2 + 5*h**2 - h**2 - 2*h**2 - 3*h**2 + 6*h**2 - 5*h**2 + (-5*h + 0*h + 3*h)*(h - 5*h + 2*h)).\nAnswer: -14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1179 divided by 3?\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 - 3*m**2 + 5*m + 3*m**3 + 2*m**2 + 5 + 8*m**2. Let z be w(-6). Calculate the greatest common divisor of 55 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7749704, -15499410, -23249116, -30998822?\n\"Answer: -7749706*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -651 - -663. Solve 9*a - t*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62619 is divided by 142?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 7 = -5. Let m = -6699 - -6693. Which is the nearest to 1\/5? (a) 1 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1631701 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-12))\/(((-2)\/2)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*u**3 + 3*u**2 + 210.\nAnswer: -39*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 462216248 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28407 + -28410. Put -3489\/5, s, -2 in ascending order.\nAnswer: -3489\/5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -72\/43 (b) -1\/7 (c) -0.3 (d) -3\/43 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/(-15)*(-20)\/(-6). Let b(a) = 0*a + 12 + 4*a - 3*a. Let j be b(i). Solve 0 = -2*m + 10, j*v + 26 = 4*m + 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 at least as big as 112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -614, -1581, -2636, -3785, -5034, -6389, -7856, -9441?\nAnswer: -11150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(48\/(-22) - -2). Let m = -9 + z. Suppose 20 = -0*r + m*r + 5*a, 2*r - a - 44 = 0. Calculate the least common multiple of r and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 274 + -114. Let n = -513 + k. Let g = -246 - n. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**3\/6 - 9*k**2\/2 - 2*k. Let b be d(-6). Let r be (3 - (b - -1)) + -3. Put r, -4, 4 in descending order.\nAnswer: 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7757 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -246, -248, -250, -252?\n\"Answer: -2*k - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2972*p + 242256 = 1354*p for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.5, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 15*w**2. Let a(n) be the first derivative of n**2 + 46*n + 2626. What is a(y(q))?\nAnswer: 30*q**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 218 (c) 24\/253 (d) 11 (e) -2\/5 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*s**3 + 38*s**2 - 103*s + 4.\nAnswer: 36*s + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 5*k = -2*d + 7, 4*d + 22 = 2*k. Solve -2*p - b = 2, -2 = -2*p - k*b + 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -10 (b) 0.7 (c) 1.7 (d) -4\/3 (e) -126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8251*c - 849508. Determine x(-103).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 0)*(0*f**2 + 4*f**2 - 5*f**2) + f**2 + 3*f**2 - 5*f**2)*(-f**3 + 0*f**3 - 4*f**2 - 2*f**3).\nAnswer: 6*f**5 + 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1511922 and 83\/10?\nAnswer: 7559610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81670616?\nAnswer: 2, 31, 329317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, i: 10}. Give prob of picking 1 z and 2 i.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3345*g**2 - 3386*g**2 - 3414*g**2 - 4969*g**2.\nAnswer: -8424*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5375 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: Let v = 273 + -252. Calculate the remainder when v is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 * 6650811.\nAnswer: -285984873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -590, -591, -592, -593, -594, -595?\n\"Answer: -n - 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(-12) + (-1)\/3. Suppose -6*z = -t*z - 148. Suppose -3*y + 47 = -y - 3*u, 2*y - z = 5*u. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -28*s - 2. Solve -24*r + s + 23 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 4:03 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 0 - 5\/24*y**4 + 0*y**3 + 17*y**2 + 0*y. Let c(o) = -2*o**2 - 3*o**2 + 3*o**2. Determine c(d(j)).\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 1 - (-24957)\/2832.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 2:46 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0)*(-4*i**3 - 2*i**3 + 0*i**3) - 2*i**3 + 44*i**2 - i**2 - 5*i**2 in the form g*i**3 + l + z*i**2 + d*i and give z.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**4\/2 - 4*p**2. Let w(j) = -21*j + 16. Let i(d) = 13*d - 10. Let y(s) = 8*i(s) + 5*w(s). Calculate r(n) - 4*y(n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 + 31*v**2 + 33*v**2.\nAnswer: 58*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 5*q + 15. Let d be (-3 + 6)\/(-6 - q). What is the closest to -0.4 in -0.4, 0, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -1\/6*d**4 - 3 + 4*d**2 + 7\/30*d**5 + 0*d - 2\/15*d**6 + 0*d**3 + 1\/35*d**7. Factor c(x).\nAnswer: 2*x*(x - 1)**2*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5. Let l(m) = -m + 4. Let g = 2997 + -3003. Give g*l(s) - 5*j(s).\nAnswer: 6*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76375928 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8500*f = -8469*f - 527 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 3 + 4 + 12. What are the prime factors of u(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) 9 (c) 4 (d) -1576\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y - 31. Let t = -5 + -4. Let r be q(t). Find x such that -8*x**2 + 3*x**4 + 5*x**r - 2*x**5 + 8*x**2 - 6*x**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 6*d + 11. What is f(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, c: 2, o: 2, f: 1, d: 1}. Give prob of sequence oy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 46440*t + 2030. List the prime factors of b(1).\nAnswer: 2, 5, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3401386815.\nAnswer: 3, 5, 613, 369917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*d + 426, k = -d + 150 + 60. Is 28 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/((-45)\/(-26)) - (-1)\/(-3). Let l = -6 - x. Solve 2*g = -z + 18 - l, g = -5*z + 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m = -86*m + 5508. Calculate the lowest common multiple of m and 312.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - v - 14 = 0, 43*d - 9*v + 157 = -12*v + 409 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -332 and -1987\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -368 + 691. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.27, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, f: 13}. Give prob of picking 1 f and 1 r.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 57 + 301)*(-11 - 12 + 20)*(5 - 2*k - 5).\nAnswer: 1548*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 8:35 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -9*p + 12. Let d(i) = i - 1. Let l(k) = -6*d(k) - f(k). What is the units digit of l(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2494 and 757144?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y + 4. Let s be n(9). Let g = s - -15. List the prime factors of 6\/(-3) + g\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/21*1)\/(-4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 7 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -243, -995, -2249, -4005, -6263, -9023?\n\"Answer: -251*i**2 + i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7542180 to the nearest ten thousand.\nAnswer: 7540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136 + -950\/7. What is the closest to 0.1 in -1, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747786101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, 3, -0.1, -2 in increasing order.\nAnswer: -2, -0.1, 0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 957, 967, 991, 1035, 1105?\n\"Answer: w**3 + w**2 + 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129080 is divided by 137.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {j: 3, l: 2, o: 1, y: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1199 = 493*z + 333*z - 373. Let k(b) be the first derivative of 1\/3*b**3 + 1 + 1\/4*b**4 + b + b**2. What is k(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.5 - 8. Which is the second smallest value? (a) -2\/23 (b) 2\/13 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-8)*2000\/(-10500).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -45, -139, -277, -465, -709, -1015?\n\"Answer: -m**3 - 16*m**2 - 39*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - -0.17. Let r = -0.1 + q. Let l be (-2)\/4 + (-2)\/(-2). What is the closest to r in l, -2\/13, -3\/8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 8*p**2 + 21*p - 6. Determine t(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 9. Suppose z - s = 9, x*z = 5*z - 3*s - 37. Find the third derivative of -19*q**5 - 8*q**2 + 25*q**z + 6*q**2 wrt q.\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - -7 - (4 + -6 + -5). Suppose 12*z = l*z + 2. Is z at least -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114 - -143. Calculate the lowest common multiple of 10 and h.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366637 is divided by 7331?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 485 = 3*g + 104. Let a be (-6)\/(-2) + 10\/5 + g. What is the greatest common divisor of a and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1115\/78 or -15?\nAnswer: -1115\/78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 18*d - 9 = 3*z - 9*d, 24*d = -2*z + 134 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 477507\/1531 at least as big as 312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 6:55 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 + 45*x - 102. Let y be f(20). What is the nearest to 2 in -1, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -127924442*y**4 - 320701089 wrt y.\nAnswer: -511697768*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6950.88919 + 6951. Round u to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258579833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 1380 = 11*b. What is the highest common factor of b and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -15*k**3 + k**2 - 13*k. Let r(y) = -8*y**3 + y**2 - 7*y. Suppose 0 = 4*m + 12, -5*u - 5*m = -0*u + 45. Determine u*t(h) + 11*r(h).\nAnswer: 2*h**3 + 5*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*-1*(-12)\/(-36). Let n be 2*1\/(s*6). What is the biggest value in -4, n, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, u: 2, g: 1, c: 2, q: 1}. Give prob of sequence xu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h**4 - 3*h**3 - 514*h?\nAnswer: -120*h**2 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 6. Find the third derivative of 2*r**2 - 2*r**2 + 4*r**q - 3*r**3 - 4*r**2 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 12:24 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3523113 to the power of 1\/2, to the nearest integer?\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 9*t - 7. Suppose 8*b - 635 = t*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2162? (a) -2 (b) -0.1 (c) 2\/21 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -563 - 340. Let x = 615.5 + l. What is x rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -0.5, -3\/5, -1339, 3, -2\/7, 0?\nAnswer: -1339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 10 = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2469*u - 6 = 2470*u, -4*u = -5*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14273 and -0.2?\nAnswer: 14273.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 10 = -2*q. What are the prime factors of (q + 16\/5)*(-16880)\/(-24)?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8150.752 milligrams in tonnes?\nAnswer: 0.000008150752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -787, -1542, -2297, -3052, -3807?\nAnswer: -4562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178173356 to the nearest integer?\nAnswer: 13348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 5*p**2 - 8*p - 9. Let y be w(-6). What is the second derivative of z**y + z - 4*z + 5*z**3 - 2*z**3 wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*d - n - 3*n, -5*d + 10 = n. Solve 0 = -7*o + d*o + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200223 (base 4) in base 7?\nAnswer: 24016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + w - 1. Let z(h) = -10*h**2 + 6*h - 6. Let f(p) = -6*i(p) + z(p). Let x(s) = 22*s - 4. Calculate f(x(r)).\nAnswer: 968*r**2 - 352*r + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.047 + 0.937. Let s = -4 - v. Let c = s - 0.01. What is the nearest to c in 4, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + p - 7. Let r be k(3). Suppose 4*v - 27 = -r*f, -f = -5*v + 21 + 20. Solve 0*w - v = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -214 + 446. Is r a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*z**4 + 280*z**3 + 3220*z**2 wrt z?\nAnswer: -96*z + 1680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((88\/50)\/(-11))\/(-2)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 7*g**3 + 4*g**3 - 9*g**3 + 3*g**4 as c*g**4 + d*g**3 + v*g**2 + b + f*g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((37 + (-12980)\/354)*(18\/(-64))\/1)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*a = -3 - 9, -5*v + 4*a + 44 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1216470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 510867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 126121836\nAnswer: -630609180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -19*t**3 + 17*t**2 - 160*t + 143. Calculate l(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 276275.\nAnswer: 14\/276275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**8*t)\/t*t**1)\/(t**(1\/7))**(-42) assuming t is positive.\nAnswer: t**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 224 + -116. Suppose -17*r = -11*r - m. Suppose 0 = -5*n + 4*o + 178, 130 = 3*n + 5*o + 1. Calculate the least common multiple of n and r.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.6, 69.56, 32, 2, -5, 4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 2326, 0, 54?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*m*x**2 - 5*m*x + 2*m - x**3 + 387*x - 5863 wrt x?\nAnswer: -6*m*x - 5*m - 3*x**2 + 387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/2 of a meter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -5*w**6\/6 + 2*w**5\/5 + 5*w**4\/4 - 2*w**3\/3 - 1. Let d(k) = 0. What is k?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 835\/429 - 83\/39. Which is the nearest to 2\/41? (a) 4 (b) -2\/9 (c) 5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1114, -1112, -1110?\n\"Answer: 2*y - 1116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/45 - 76\/(-5). Suppose 0 = -6*a + 3*a + r. Solve -5*l + 22 = -4*h, 2 = h - a*h - 5*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.064, 3\/8, -2\/13, -5 in decreasing order.\nAnswer: 3\/8, -0.064, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*a - 35*a - 5*a**5 - 5*a**5 + 3*a**5 + 3*a**5 + (0*a**3 - 3*a**3 + 2*a**3)*(0*a**2 - 2*a**2 + 4*a**2) + 3*a**5 - 3*a**5 - a**5.\nAnswer: -7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y = -54*y + 255. Suppose -370 = -y*u - 20*u. What is the greatest common factor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 104 + 75)*(0*s**2 + 0*s**2 - 2*s**2) + (2*s + s - s)*(2*s - 2*s - s) as w + l*s + v*s**2 and give v.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 7501 - 7193 = 29*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1056)\/80*(-2)\/(246\/(-205))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 29. Suppose h*n + 0*s + s - 1390 = 0, 4*s = -5*n + 1390. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 1292570?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 8. Let o be v(5). Solve n - 20 = o*i, 0*n + 3*n - 40 = 5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16102 and 56681219894.\nAnswer: 56681235996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3 = -b, -q - 2*b - 2 + 8 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -2\/5, -2\/13, -0.1, 2\/445, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -9*a**2 + 5*a - 7. Let h be m(5). Let d = -146 - h. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (148\/185)\/((-44)\/(-15))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t**2 - 7*t + 26. Let d(i) = -5*i**2 + 6*i - 25. What is 6*a(j) + 7*d(j)?\nAnswer: j**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10496949 - 2549949. Round q to the nearest 100000.\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 36*q**3 + 286*q**2 + 636*q + 387.\nAnswer: -(q - 43)*(q + 1)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/357, 1.43, -12, 0.3, 1.3 in decreasing order.\nAnswer: 1.43, 1.3, 0.3, -2\/357, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*o = -3*r - 25, 5*r + 5*o + 35 = 0. Let x = r + 1. Let c(a) = -12*a**3 + 2*a + 1. What is the tens digit of c(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 57*t + 378. Give c(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 3301?\nAnswer: -3232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 31*v - 64. Let a be b(2). Let i be 12 - (a + (-30)\/6 + 4). Solve -21*o - i = -18*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36136454139 take away 15?\nAnswer: 36136454124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-3 + sqrt(425)*1 + -2*sqrt(425) + 0 + sqrt(425) - (0 + sqrt(425) - (sqrt(17)*2 + -4))) + -5))**2.\nAnswer: 288*sqrt(17) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/123519 and -151\/67374?\nAnswer: 741114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -73, -600, -2063, -4942, -9717, -16868, -26875?\n\"Answer: -80*u**3 + 12*u**2 - 3*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74.533055 * 0.5.\nAnswer: 37.2665275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*161\/(-184)*40\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 5:53 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 5, -1\/37?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*2)\/(16\/(-72)). Let s = i - -36. Let b = -79 + 148. What is the remainder when b is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1406, -1342, -1166, -824, -262, 574, 1738, 3284?\nAnswer: 5266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -6d88?\nAnswer: -6d89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**3\/3 + s**2\/2 + 9*s - 3. Let j be t(5). Let x be 1 + 60\/(-1 + 6). Calculate the greatest common divisor of x and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (2 + -7 + (125 - 114)) - 14) + 3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0212625 and 9.\nAnswer: -0.1913625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 88*z**2 + 193*z + 495. Is 237 a factor of f(87)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4\/7 (b) -0.5 (c) -280\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168 + 362. Suppose 3 = -b, 5*s - 4*b + b = u. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 5 - 8 - 6 + 99*p**2 - 2 + 7 to the form d*p + f + z*p**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -138? (a) 52 (b) -0.2 (c) -1.25 (d) -1\/8 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -107, -109, -111, -113, -115?\n\"Answer: -2*y - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**2*r**3 - 70*f**2*r**2 - 2*f**2 + 1244802*f*r**3 + 2042*f*r**2 wrt r.\nAnswer: -6*f**2 + 7468812*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) -3 (c) -1\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 2 = -9*c, -5*c - 223995 = -5*p. Suppose 0 = 7*y - 6*y - p. Round y to the nearest one thousand.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20127217 from 0.\nAnswer: -20127217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/19)\/(14012\/(-199671)))\/(249\/4)?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 8*o**2 - 3*o - 11. What is the remainder when 89 is divided by u(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235, -318, -1237, -2522, -4173, -6190?\nAnswer: -8573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 6*h - 2. Let d be i(4). Let x(n) = -3*n + 2. Let c(v) = 7*v - 3. Let o(s) = -2*c(s) - 5*x(s). Determine o(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-42)*-7)\/(-1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**4 - 4 + 38 + 38*s**3 + 3*s**2 - s**3 + 2*s**4 - 17 to the form h*s**3 + p*s**4 + m + t*s + n*s**2 and give h.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 10. Let a be v(7). Let f = 6 + -2. Put -2\/13, a, f in descending order.\nAnswer: f, -2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2135*m**3 - m**2 - 334 wrt m.\nAnswer: 12810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24288 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 1. Let a(p) = -13*p + 4. Determine -a(y) + 4*v(y).\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 3. Suppose -5*o - 3*n + 26 = 0, 4*o + n - 14 = 2*n. List the prime factors of p(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 2362101624?\nAnswer: 2362101620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q - 7*q + 0*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 342 (b) 1\/4 (c) 1\/3 (d) -2 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59.6 - -60. What is the second biggest value in 3, y, 2\/19, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 59 + -153 - (-1 + (4 - 11)).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9140*r - 9109*r + 18234*r.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -43, 44?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 6156752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (-45 - -129) + -29?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*p - 0*p - 635, 4*p - 2*f = 638. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367860 divided by -122620.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*f, -4*f = -m - 4*m + 21. Suppose 0 = -3*p + 2*x + 3 + 1, -10 = 3*p + 5*x. Let a = m + p. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -5694.\nAnswer: 1\/2847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m + 5 = 4*f, 4*f = m - 5. Suppose -4*w + 155 = 5*h, -2*w - h - 29 + 102 = f. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 302*g**3*v**2*y**3 + 457*g**3*v**2*y**2 + g**3*v**2*y + 13*g**2*v**2*y**3 - 2*g**2*v*y**2 - 3*g - 8*v**2*y**2 wrt y?\nAnswer: 1812*g**3*v**2 + 78*g**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 53.54348 nanograms?\nAnswer: 0.00005354348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 414421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 0, 1\/5 in decreasing order.\nAnswer: 3, 1\/5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29528 = -3641*x - 7527 - 188489 - 73018 for x.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37, -186, -485, -940, -1557?\n\"Answer: -r**3 - 69*r**2 + 65*r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*((p*p*p**(-2\/51))\/p)\/p*p*p))**(-37))**28 assuming p is positive.\nAnswer: p**(50764\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1389793\/56 - -24817. What is the common denominator of 45\/184 and h?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + m = -20, 45 - 5 = -4*z + 5*m. Let b(o) = -o**3 - 10*o**2 - o - 8. Let g be b(z). Let h = -111 - -114. Solve g*v + 11 = h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 460 + -756. Let q = -118 - p. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = l - 1. Suppose -5*h - l = -5*a - 2*h, -h = -2*a. Let i be (6 - 7)*3\/(-1). Let k(n) = n - 2. Let v(c) = c - 2. Give a*v(y) + i*k(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.987 - -0.013. Which is the fourth biggest value? (a) 1\/2 (b) 1\/4 (c) u (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 17*j**3 + 3*j**2 - j - 2. Let n be h(-2). Let a = 206 + n. Find the third derivative of -74*c**5 + 4*c**2 + 4*c**2 + a*c**5 - c**2 wrt c.\nAnswer: 480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26961, 26966, 26979, 27000, 27029?\nAnswer: 27066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.4, 3\/8, 0.17 in descending order.\nAnswer: 3\/8, 0.17, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01142193 to 5 dps.\nAnswer: -0.01142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(2\/(-1 - 1)). Solve 0 = -k*t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*a**3 + 15*a - 15*a - 98*a**3.\nAnswer: -304*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = w - 2. Let x be 5*(-2 + 0 - -4). Let d = x + w. Is d at most 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1033191\/61 + 16937. Let a = 1219\/549 - q. Calculate the common denominator of 20\/3 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 8, z: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38303, -2, 173.\nAnswer: -38303, -2, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 851.59936 to the nearest 10.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -130, -6, 1, -2, -5.\nAnswer: -130, -6, -5, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24928339?\nAnswer: 24928339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5*b = -30, 30 = -2107*a + 2104*a - 5*b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/3 + 118*t**3\/3 + 1202*t**2\/3 - 99262*t\/3 + 32648 = 0 for t.\nAnswer: -28, 1, 33, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 + 1934*u + 39487. What is d(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8264)\/3099*(-33)\/(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10*j**2. Let l(s) be the first derivative of -20*s**2 + 165. What is o(l(f))?\nAnswer: -16000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 698 - 698 + 53*y**3.\nAnswer: 53*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpp when three letters picked without replacement from {h: 11, p: 3}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o - 3. Let l(j) = -1 - j**2 - 2 - 12 - 13*j + 1. What is the smallest common multiple of l(-11) and m(-2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -740, -1766, -2792, -3818, -4844, -5870?\n\"Answer: -1026*x + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200348880?\nAnswer: 2, 3, 5, 834787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 224?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(432)))**2 + 4.\nAnswer: 216*sqrt(3) + 3901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 183c + 5aae?\nAnswer: 73eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*v - 2*v**3 + 39 - 152*v - 145*v + 450*v.\nAnswer: -2*v**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3756 - q - 2851 + 8323 - 2824 + 5*q as p*q + x and give x.\nAnswer: -1108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 32 = -5*f, 7*f - 4*f - 3*z + 24 = 0. Let v be (-6)\/f*(-12)\/(-9). Suppose 0 = -t + v*t - 2. Solve 2*m - t = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65939464?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-13)*(k*(k**(-4)\/k)\/k)\/k)\/(k**(-3\/13)\/k**15))**(-45) assuming k is positive.\nAnswer: k**(2205\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 1028*t + 1284*t + 0 - t + 3*t + 0*t - 1 + 1 + t + (0 + 1 - 2)*(2*t - 2*t + 2*t).\nAnswer: 257*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520963694 to the power of 1\/3, to the nearest integer?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66612 = 36*n - 8*n. Calculate the greatest common divisor of 39 and n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 677180925*k**4 - 1017658072?\nAnswer: 2708723700*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210 (base 3) to base 10.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 14*t - 24 = 0. Solve -c - 2*c = t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*t + t, -2*x = -t. Solve 3*p + x*p = -6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 + 9*z**2 - 3 - 5*z + 1 - 3*z**3 + 0*z**3. Calculate the smallest common multiple of h(8) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -4*t - 46. Suppose -4*n + 8 = 0, 3*n + n = -2*b + t. What is the common denominator of 51\/16 and 10\/(-45) + (-51)\/b?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 1 - 7. Suppose 113*u = 114*u - 1. Solve -h - o*c = -u + 2, 2*h + 5*c = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/23)\/c*c*c*c**(3\/29)*(c\/(((c**(1\/8)\/c)\/c)\/c))\/(c*c\/c**8) assuming c is positive.\nAnswer: c**(59045\/5336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 11*b - 2*b + (-4*b + 3*b + 0*b)*(-18 - 14 + 11))*(-2*b - 3*b - 3*b) as u*b + n + m*b**2 and give m.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 825 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 13 = -3*p + 3*y, 4*y = 3*p - 15. Suppose m + 5*r = 16, -2*m + 2*r = 3*m + p. Which is the smallest value? (a) m (b) 5 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 283070185 divided by 4\nAnswer: 283070185\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6818 + 10133. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -3*z**6\/40 - z**4\/24 + z**3\/6 - 7*z**2. Suppose 5*p - 11 - 6 = -2*c, 9 = 3*p. Determine x(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 446 in 0.06, 3\/2, -0.3, -1\/124?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.778 + 19.17. Sort x, 1\/3, 4 in ascending order.\nAnswer: 1\/3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, r: 11, a: 1}. What is prob of picking 3 r and 1 a?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54954187 or 54954188?\nAnswer: 54954188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 21*v - 26 = 0. Let i(x) = -142*x**3 + x**2 - 5*x - 5. Let q = -54 - -83. Calculate the remainder when i(v) is divided by q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144308829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 21*z + 4. Let b be o(21). What is the fourth biggest value in 0, 0.4, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31026 is divided by 15003.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -29*y**3\/3 - 173*y**2\/2 + 15189*y - 1106. What is the first derivative of j(i) wrt i?\nAnswer: -58*i - 173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(11) + -2 + 4)**2 - ((2*sqrt(1331))**2 + 3).\nAnswer: -5307 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -137261271106 - 1.8?\nAnswer: -137261271107.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**4 + 4 - 4 + 2*a**4 - 7*a**4 + 2*a**4 + (-1 + 1 + a**3)*(3*a - 4*a - a) to the form n*a**2 + t*a + x*a**3 + s*a**4 + g and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -15*z - 21. Let r(k) = -3*k - 4. Let f be -2*(-1)\/2 + 3. Let a(j) = f*v(j) - 21*r(j). What are the prime factors of a(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1016881, 2033767, 3050655, 4067545, 5084437?\n\"Answer: d**2 + 1016883*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172*o*z + 25413*o - 28*z - 1 wrt z.\nAnswer: -172*o - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 17 = -15*w. Let u be w + 0 - 0 - (-1 - -4). Suppose k - 3 = 2*o + o, -33 = -5*k - 3*o. Solve s = -k*g + u*g + 10, s + 11 = 4*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70*d - 59*d**2 + 4*d**3 + 17*d + 79*d + 46*d + 3*d**2 - 160.\nAnswer: 4*(d - 8)*(d - 5)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4302, 4308, 4316, 4326, 4338, 4352?\n\"Answer: u**2 + 3*u + 4298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 4. Suppose -2*k = -4*q - 24, -3*k = -0*q + 2*q - 28. What is r(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -190*m - 28. Let f(x) = -378*x - 49. Give -4*f(k) + 7*h(k).\nAnswer: 182*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 372, -3 in descending order.\nAnswer: 372, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, e: 12}. Give prob of sequence eoeo.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -88*o + 263. Let y be w(3). Which is greater: y or -10\/11?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n**2 - 6024276*n + 1. Let f(b) = b**2. What is j(f(t))?\nAnswer: -5*t**4 - 6024276*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115320, -230616, -345898, -461160, -576396, -691600?\nAnswer: -806766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -1 (c) 2\/9 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149 + -134. Let b be (-5)\/20*(-20)\/z. Which is bigger: -11 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**4\/o*o)\/o**(8\/11))\/(o\/o**(1\/47)*o*o**0))**11 assuming o is positive.\nAnswer: o**(1186\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -41414652 divided by 51\nAnswer: -812052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 - 114 = -5*a. Calculate the remainder when a is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 18*y + 20. Let k be (-26)\/(-10) - (4 + (-136)\/40). Suppose 3*n - k*r + 12 = r, -5*r - 44 = 3*n. What is o(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*l + c = -45*l - 6057, 0 = -3*c - 15. Is 42 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3740400 divided by 26\nAnswer: 1870200\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzz when three letters picked without replacement from jjzzjzjzzjzjjz.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 6*q + 19*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 170647801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*n + 1 + 0 + n + 0 - n + 3*n - n + (3 - 2 + 1)*(-2*n + 3*n - 3*n) + (-1 + 1 - 3*n)*(-6 - 1 - 1).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 30362.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.5 + 3. Let u = -152.41 + 149.41. Sort 5, u, h, 2\/5 in descending order.\nAnswer: 5, h, 2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*i = 16*i - 113*i + 546074100. What is i rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 0.4. Let y = l + -0.5. Let r be 233\/(-2330)*10\/4. Which is the closest to y? (a) 0 (b) -5\/6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 20*l**2 - 11*l - 76. Let j be g(-9). Suppose -36*x + 8761 = -j. What is the remainder when x is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 196, 298, 402?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 2)\/(2\/6). Let o = 1529\/4 - 1124\/3. Let l = o - 31\/4. What is the nearest to 1 in l, v, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16842556 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*b = -17*b - 277 - 248 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394460678 a multiple of 3841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154 - 134. Calculate the greatest common divisor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 + 56253*h**3 - 2358657*h**2 + 24752007*h.\nAnswer: -3*h*(h - 18709)*(h - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -852012 by 46.\nAnswer: -18522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4*85\/(-170)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -3*q + 19, 0 = -4*q - 10*n + 6*n + 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (1 + 6)) + -2 + -5 + 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5, 5, 27, 67, 131, 225, 355, 527?\n\"Answer: q**3 + 3*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 71530.61um?\nAnswer: 7.153061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65536\/36 - (-148)\/(-333)?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from kkkkkkkkkkfkkkkkkk.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1395 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 57\/15 + -4 - (-131)\/5. Suppose 3*u + u + t = 2*w, u = -4*w - 20. Let q be 20\/u*(-4)\/2. Solve -o - 1 = -3, -3*h + 5*o + q = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 3:05 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(48)*-1 + (sqrt(147) - sqrt(147)*2*3)**2.\nAnswer: -4*sqrt(3) + 3679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {n: 1, p: 2, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/2 + 7839*k\/2 - 509082.\nAnswer: 3*(k - 124)*(k + 2737)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4375 + 4374.9. Which is the closest to h? (a) -2\/3 (b) 4 (c) -63 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -504.8 and -8.\nAnswer: -512.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -46, -2, 0 in decreasing order.\nAnswer: 1, 0, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 22140?\nAnswer: 22135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43752)\/(-51044)*-2*(-1)\/(-1)*(-4)\/(-12).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 >= 439\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 32157 - 16110 - 15644 as q*l + x*l**3 + t + v*l**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 12*a**2 + 5*a - 15. Let t be r(10). Let y be t\/102 - 6\/(-4). Sort 3, y, -1.\nAnswer: -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/693)\/((-2)\/(-18)*2)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 - ((-4 - (4 - -69)) + (-20 - -16))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -121, -260, -455, -706, -1013?\n\"Answer: -28*q**2 + q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -23*x - 1825. Determine c(-79).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -659, 16, -2, 4, 2 in decreasing order.\nAnswer: 16, 4, 2, -2, -63, -659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 64673717 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 2*y + 117 = 0. Let w = 2 + y. Let i be 8\/20 + 129\/w - 3. Solve -3*j + 15 = -i*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031459739 to three dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 8 = h, 2*v - 6*v + 12 = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d*d\/(d*((d*d*d**(-3\/7)*d*d*d)\/d)\/d)))\/d*d**9)\/((d**(2\/7)*d)\/d**(2\/23)))**49 assuming d is positive.\nAnswer: d**(11690\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 - -146. Suppose 0*n = n - 25. Calculate the greatest common factor of w and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*g**5 - 2*g + 11*g**5 + 7*g**5 wrt g?\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -3. Let r = -76\/3 - -25. Let f = -0.9 - 4.1. Sort o, f, r in descending order.\nAnswer: o, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 z when four letters picked without replacement from {z: 1, p: 5, h: 3, e: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7984, 7983, 7982?\nAnswer: 7981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8564*z**5 + 127*z**4 + 1141652*z**2 + 2*z + 6?\nAnswer: 513840*z**2 + 3048*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1, -3402\/11 in increasing order.\nAnswer: -3402\/11, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2294711*p**2. Let c(k) = -k**2. What is m(c(u))?\nAnswer: -2294711*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 + 638\nAnswer: 637.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5649 and 41363861.\nAnswer: 1883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*4\/6*462\/(-88). Suppose 5*w + 6 - 66 = 0. Is r at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**2 - 3*w - 8. Let a(q) = 3 - 28 + 3*q - 11*q - 14*q**2. Let u(z) = -3*a(z) + 8*f(z). Let s(n) = -2*n. What is s(u(i))?\nAnswer: -4*i**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (2 - (-51 - -17) - -49).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -153 + 168. What is the remainder when h is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c + 6. Let s be v(-1). Calculate the common denominator of 73\/9 and (-8)\/(s - -2) + (-78)\/(-54).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**6\/120 - 3*n**5\/20 - 5*n**4\/12 + n**3\/2 + n**2. Suppose 2*d + 2 = 22. Is 2 a factor of j(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26881*15989.\nAnswer: -429800309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -8*v**2 + 4*v. Let u(k) = -k**4 - k**2 + k. Let z(o) = h(o) - 4*u(o). Factor z(w).\nAnswer: 4*w**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71\/3 + -24. Let y = -150 - 433. Let w = y - -583.4. What is the closest to -1 in p, -3, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 17. Let c(x) = 428*x**2 + 3*x - 1. Let m(q) = -641*q**2 - 4*q + 1. Let h(t) = -7*c(t) - 5*m(t). What is the tens digit of h(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 604360064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 11 - 46. Suppose -l = -5*t - 45. What is the third smallest value in t, -18, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q. Let i be s(1). Solve -i*l - 3*x = -l - 5, -x = -3*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 26*v**2 + 6*v + 3. Is 11 a factor of z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from ggzggglgggzgggzg.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 433*q - 846*q + 39 + 427*q + (-3 + 0 + 4)*(-q - 2 + 2).\nAnswer: 13*q + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/30 and -89\/50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, h: 1, p: 1, f: 1, c: 1}. What is prob of picking 1 p, 1 f, 1 h, and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/2 - 3. What is the nearest to -2 in y, -0.3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8050987.\nAnswer: 7, 1150141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25944 and 79896.\nAnswer: 86367576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxrl when four letters picked without replacement from {r: 1, v: 1, z: 1, l: 1, x: 2, o: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 15 = -5. Suppose -3 = s*h - 43. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3332030 + 2?\nAnswer: -3332022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-1*4 - (5*sqrt(88)*2 + sqrt(88)))\/(1*sqrt(32) - -1*sqrt(8)*6).\nAnswer: -15*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(184800\/77))\/((-2)\/10)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/67 (b) -2364 (c) 1 (d) -5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -20*y + 1. Suppose 792*f = 786*f + 6. Determine h(f).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2195 - -2.2195. Suppose 5*i = 15 + 5. Let k(g) = -g**3 - 3*g**2 - 2*g - 1. Let y be k(-3). Which is the closest to z? (a) y (b) 0.04 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iizi. What is prob of picking 1 z and 1 i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + sqrt(2448) + 0 + sqrt(2448))**2 - sqrt(34)\/sqrt(2)*-2*2).\nAnswer: -19584 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuqquuququuq. Give prob of picking 4 q.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-8))\/(-10*21\/(-28)). Is -1 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, d: 2, j: 4}. What is prob of picking 3 l?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 629 + 913. What are the prime factors of x?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/(-6))\/(-4 + (-82)\/(-21)). Which is smaller: n or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 41 + 45 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.84097 + 5.5097. Let s = f - -1.33. What is s rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 208\nAnswer: 166.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 6752.\nAnswer: 13\/6752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6725, -13421, -20115, -26807, -33497?\n\"Answer: a**2 - 6699*a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 881907 > 881836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -433 + 14?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.196 and 0.14.\nAnswer: 0.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(76)*6*4)\/(5*sqrt(12)\/(sqrt(6)\/sqrt(2))*-3).\nAnswer: -64*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 55 + 1 + 4*m**2 - 13 - 50 as v*m + w + q*m**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 369.\nAnswer: 8118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d7 - 10?\nAnswer: 5c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 40 = -5*u. Let x = -11 - u. Suppose 6*j - j - 132 = -2*h, 4*h + 100 = 4*j. Calculate the remainder when j is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*h = 585*h - 40 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 14*n**3 - 7*n - 7. Let b(s) = 45*s**3 - 29*s - 20. Let q(k) = 11*k**3 - 7*k - 5. Let i(v) = -2*b(v) + 9*q(v). Give -7*i(m) + 5*w(m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 105\/22807 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t - 30. Let c be b(9). Let k be (c\/10 - 3)*-2. Solve -k*z + 36 = 2*z - 4*y, 4*z - 36 = 5*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002532708 to 7 dps.\nAnswer: -0.0000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/11124 and 47\/1709388.\nAnswer: 5128164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0 - -1)*(-505)\/10. Let d = 189 + m. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*p - 50 = -4*u, -3*u = 4*p - 38. Let t be (24\/u)\/(-4*(-7)\/70). Suppose -9*x = -t*x - 48. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 6 = 4*p, -3*p + 9*l + 28 = 4*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/2751875 and 101\/37000.\nAnswer: 22015000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m - 1. Let b be o(1). Suppose -8*i = -10*i + 108. What is the derivative of 4*x**b - 4 - 54*x + i*x wrt x?\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-56)*-2)\/(30\/(-10))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 485 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-72 + 38 - -33)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-9 - -4 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*(-128)\/72?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-6))\/((-3)\/(-30)). Suppose f - 5*p - 36 = 0, l*p - 35 = -3*f + 113. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 + 97 - (-12 + 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(0 + 1) - -9. Let y be s - 4\/2*1. Factor -4\/5*c**y + 0*c + 0*c**2 + 2\/5*c**3 + 0 - 6\/5*c**5.\nAnswer: -2*c**3*(c + 1)*(3*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/62548 and 113\/14814.\nAnswer: 562932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.04, 3.83, 9?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/8001 - 264053\/80010. Find the common denominator of d and 31\/10552.\nAnswer: 52760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 minus -174842?\nAnswer: 174813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*i**2*y - i*y**3 - i*y**2 - 10*i*y + 5*y**3 + y + 303 wrt i.\nAnswer: -54*i*y - y**3 - y**2 - 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -18*w**5\/5 - 57*w**4\/4 + 2*w**3 + 45*w**2\/2 - 6165. Factor f(u).\nAnswer: -3*u*(u + 1)*(u + 3)*(6*u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 2*a + 6, -16*l = -21*l + 8*l - a + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -1\/2, 5, -3589, -5, -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -3, -8, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/14*15435\/(-10584).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-411)\/(-1507)*33\/(-3)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 36*j**5 + 475*j**4 - 1012*j**3 - 716*j**2 + 976*j + 233. Let b(g) = -g**4 - 7. Let y(p) = -b(p) + o(p). Suppose y(h) = 0. Calculate h.\nAnswer: -15, -1, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 2:39 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -93*p**3 - 32*p**5 + 93*p**3 - 5*p**5 + 3*p**3 - 3*p**3 + (-2*p**2 + 2*p**2 + 2*p**5)*(-2 + 0 + 4).\nAnswer: -33*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-43)\/(-6) + (-7)\/42. Suppose -3*g + 27 + 141 = 0. Calculate the highest common divisor of g and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49524*o*u + 3034319*o - 35*u wrt u.\nAnswer: 49524*o - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 8*o + 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*q + 7, 18 = 2*n + 2*q + 3*q. Let s = n - -3. Let w be -2 - (-11)\/3 - 1. Which is the closest to 0.1? (a) s (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/7, -0.73, -15, -1, -6, 3, 10\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 29 + 1. Suppose 6832 = 4*l - i*k, -2*l + 4*k + 1004 = -2406. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101620, 101603, 101586, 101569, 101552?\nAnswer: 101535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1158527 + 4?\nAnswer: -1158523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42.4869*-0.1.\nAnswer: -4.24869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5901?\nAnswer: 3, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 524, 3827, 12816, 30329, 59204, 102279, 162392, 242381?\nAnswer: 345084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - c - 10. Suppose t - 4*t = -5*n - 1, 3*n + c*t = 7. Calculate the remainder when 2 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -362\nAnswer: 21.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 9*d**2 + 4*d + 9. Let g(k) = -5*k**3 + 37*k**2 + 18*k + 37. Let a(h) = -9*c(h) + 2*g(h). What is a(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 35050 = -2365. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 299\/8 - 38. Is t at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(45)\/sqrt(5))*3)**2 + (sqrt(12) - (sqrt(48)\/sqrt(4) - sqrt(12))) + 3.\nAnswer: 2*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 = -u. Let s be (6\/(-1) - u) + 11. Solve -t - s = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -4, -67\/57 in increasing order.\nAnswer: -4, -67\/57, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + -7. Let f = 38 + l. Which is greater: f or 5\/17?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**3 - 9*c**3 + 4*c**3 - 3*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 2*x**2 + 0 - 1\/12*x**4 - 5*x - 1\/6*x**3. Calculate m(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*q**4 + 11*q**4 - 9*q**4 + (q - 1 + 0 + 0*q)*(2*q**3 - 2*q**3 - q**3).\nAnswer: 11*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6931841053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 - -2.93. Let l = d + -2.96. Let i = -0.04 + l. What is the smallest value in i, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 653, 660, 679, 716, 777, 868, 995, 1164?\nAnswer: 1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-80))\/((-9)\/(-12)). Put 1, n, 2\/17 in increasing order.\nAnswer: n, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-5))\/h*h\/(h\/h**(-18\/5)*h)*h**17\/h*h*h**19*h*h)**(-2\/9) assuming h is positive.\nAnswer: h**(-98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-812 - 2342 - 34)*(-f + 4*f - 5*f).\nAnswer: 6376*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1\/7 (b) 0.4 (c) 0 (d) -1 (e) 138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d + 15. Let y(j) = -14*j - 44. Let f(a) = -11*q(a) - 4*y(a). Let z be f(9). Solve -2*u - z = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v + 37*v = 284. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 837*s**2 - 108 + 1 + 2*s.\nAnswer: -837*s**2 + 2*s - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 368 divide 2019946907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 2*m**2 + 2*m. Let r = -6 - -8. Suppose 6*z = r*z - 12. Calculate the remainder when t(z) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -29. Suppose -4 = 3*y - j, 2*y + j - 2 = 2. Solve 1 = s - 0*s, y = p*q + 4*s - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2. Let i(g) = 141*g**2 - 47*g. Determine i(v(w)).\nAnswer: 141*w**4 + 47*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m**2 - 157*m + 12. Calculate l(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9310, 37181, 83638, 148687, 232334?\n\"Answer: v**3 + 9287*v**2 + 3*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1095.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -626723*a**4*m**2 + a**3*m**3 + a**2*m**3 - 96*a**2*m**2 + 37*a**2 + 2*a*m wrt a?\nAnswer: -15041352*a*m**2 + 6*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 214741 plus 148526.61?\nAnswer: 363267.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -23*p + 4. Let d be (16\/(-6) - -2)*6. Let k be t(d). Suppose -48 = 2*b - k. What is the remainder when b is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 7:25 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -62) + ((-17 - -3) + 14 - 2)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -38, -6 in increasing order.\nAnswer: -38, -6, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14204 and 1072.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, k: 1, q: 3, w: 1, v: 7, e: 4}. Give prob of picking 2 q.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 k when three letters picked without replacement from mkkkkmkkkmkkkk?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3*v**3 + 3*b**3 + b**2 + 28*b*v**3 wrt v.\nAnswer: 6*b**3*v**2 + 84*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 380861 to the power of 1\/2, to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -12. Let f = 27 - r. Let s = -12.06 - f. What is the nearest to 1\/3 in 3, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -39, -0.3, -0.04 in descending order.\nAnswer: -0.04, -1\/9, -0.3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41 - -1109c2?\nAnswer: 110a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -413 - -2060. Let r = d - -566. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-16))\/((-5)\/72)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1225*m = -1215*m - 10. Solve -5*z + 4*q + 2 = -2, 2*z - q - m = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28943 - 12420. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -28. Let u be (-63 - -1) + (-26)\/d. Is (-1272)\/u + (-1)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 times -0.11?\nAnswer: -0.0242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1 - ((-288)\/66 + 4). Let m = 277.3 - 277. What is the third biggest value in n, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/9)\/((-1)\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s*u**4 + 7*s*u**3 + s*u**2 + 713*s - 3*u**4 wrt u.\nAnswer: 72*s*u + 42*s - 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - -2) + -3 + 5. Let m = 27 - 15. Let g = m - k. Solve -t - 25 = -g*n, t - 2*t + 11 = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 34*d**2 + 10*d + 11. Let o be g(34). Let p = o + -231. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -323637659791638790.00000027 - -323637656967148202. Let p = -2824490617 - f. Let o = p + 29. Round o to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3 = -19. Let d(n) = 2*n**2 + n + 2. Let u be d(4). Suppose 4*g + u = l, 3*l + 5*g - p - 35 = 0. What is the remainder when l is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -24*b + 37. Suppose 5*u - 23675 = b*j, -4*u - 3*j = -6713 - 12255. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -10360.\nAnswer: -1\/2590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149733178?\nAnswer: 2, 7, 17, 71, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -126065*j**2 - 4*j. Let n(m) = -2*m. Calculate l(n(f)).\nAnswer: -504260*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6\/7))**4 assuming u is positive.\nAnswer: u**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**3 + 7834*l**2 - 12897*l.\nAnswer: -12*l + 15668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*j**4 + 43 - 4708*j + 4708*j with respect to j.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1012\/(-138)*(-240)\/176.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8976706901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 7*l**2 + l + 5. Let y be t(-7). Let a(x) = -2*x - 1. Let u = 0 + 3. Let m(n) = -6*n + 1 + u*n + 5*n. What is y*a(o) - 3*m(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssbb. Give prob of sequence sb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqqs when four letters picked without replacement from qaaqqalaoqasa.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*p, 5*f = p + 242 - 15. What is the least common multiple of 72 and f?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -116 + 4961\/14*c**4 - 8\/7*c + 131\/7*c**2 + 2662\/35*c**5 - 946\/7*c**3. Suppose a(m) = 0. Calculate m.\nAnswer: -4, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-19)*(-2)\/(-3)*87\/(-116).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 77, 255, 563, 1001, 1569, 2267, 3095?\n\"Answer: 65*a**2 - 17*a + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m. Let x = -43 - -41. Let i(y) = -5*y. Give x*g(a) - 3*i(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -6. Suppose 11*a - 17*a + 282 = 0. What is the remainder when a is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.499 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 0 + 0*j + 0*j**3 + 1\/12*j**4 - 14*j**2. Let x(t) = 2*t - 2*t + 2*t. Give x(r(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2761588 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from {n: 2, b: 8, e: 3, o: 2}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/495 and 117\/550?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 2*a**2 + a. Let q be r(-2). Let s be (-8)\/(-2)*(-1)\/q. What is the second derivative of 4*n**2 - n - n - 3*n**s wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.56 - -11.5. Let f = -7 - -7. Sort 0.5, b, f.\nAnswer: b, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.049 - -2974377701198.\nAnswer: 2974377701198.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjk when three letters picked without replacement from {k: 2, j: 1, o: 3, a: 4, d: 2, p: 6}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-x**3 + 2 - 2)*(x - 2*x**2 - x) - 3*x**5 + 0*x**5 + 5*x**5 + (-2*x**3 - 4*x**3 + 5*x**3)*(-2*x**2 - 3*x**2 + x**2))*(-4 - 4 - 1).\nAnswer: -72*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*l*m**3 - l*m + 134978*m**3 + 1764*m + 36 wrt m?\nAnswer: 30*l*m + 809868*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -263278.3.\nAnswer: 52655.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 16 - (4 + -1) - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4 + 117\/90?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022 + 121210010?\nAnswer: 121211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a micrometer in nanometers?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 u when three letters picked without replacement from jujguujgugugg?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/30*108\/72?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 17*q - 1. Let g(k) = -1577*k - 76. Let w(u) = g(u) - 76*i(u). Let h(l) = -l. Determine w(h(v)).\nAnswer: 2869*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 89478444 and 54152?\nAnswer: 1252698216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14616391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**(1\/6)\/k)))\/k**(-3))**(-1\/15)*(k**0)**12\/(k**(-5)*k*k**(4\/5)*k) assuming k is positive.\nAnswer: k**(179\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from eefeseefff?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l - 2 - 2 - 3*l - l. Let i(r) = 2*r**2 + 141*r + 1206. Let x be i(-10). Let w = -16 + 9. Let u(v) = v + 2. Give w*u(z) + x*y(z).\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*d + 24*d - 880 = 0 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1063, -2125, -3187, -4249, -5311, -6373?\nAnswer: -7435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 + 8*j + 5. Let w(a) = 20*a**2 + 38*a + 24. Let f(h) = 14*c(h) - 3*w(h). Let z(n) = -5*n**2 - 2*n - 2. Calculate -6*f(b) + 5*z(b).\nAnswer: -b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 276, -127, -6, 5, 4.\nAnswer: -127, -6, 4, 5, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 5)*(1 + 3319*a**2 - 3305*a**2 + 1 - a**4).\nAnswer: a**4 - 14*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + a8?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 795?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43382492 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21734 - 12018. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/40400085 and -73\/110.\nAnswer: 80800170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92 - 29*i**3 + 92 + (0*i + i**3 + 0*i)*(2 - 1 + 1) + i - i - 2*i**3 to k + s*i + t*i**2 + w*i**3 and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -17*i**2. Let l(b) = -8602*b**2. Give r(l(c)).\nAnswer: -1257904868*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6840.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 540, 0, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -495*y - 1596?\nAnswer: -495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3. Let a(t) = 2*t + 3. Let y(n) = a(n) + 2*f(n). Let b(g) = -1. Let s = -1 - -2. Suppose 0 = -28*z + 24*z - 4. Determine s*y(q) + z*b(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 143 = -2*j, -5*f + 160 = 5*j - 195. What is the greatest common factor of 2844 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guug when four letters picked without replacement from guvgvzuqvvrgqqguqg.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 + -106.0000045. What is b rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4190 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100 - -101100110?\nAnswer: 11001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2596, 2542, 2488, 2434, 2380?\n\"Answer: -54*m + 2650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 47833?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -133\/3. Let z be (3 + 15 + 1219\/(-69))\/(2\/15). Which is the closest to 1? (a) k (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -3. Suppose 0 = 4*y + 4. Let f = y - -4. Put -4, f, p in ascending order.\nAnswer: p, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4307, 4473, 4635, 4793?\n\"Answer: -2*x**2 + 172*x + 4137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 - 0.3. Let m = 0.4 - 3. Let r = g + m. Is -1 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -326\/3371 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57877.5 minutes to microseconds.\nAnswer: 3472650000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 204055975 and 0.6?\nAnswer: 122433585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-16)*(-43 - -49)\/(-2 - -89)?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.16 - -0.06. Let k = 0.3 - x. Let m = -829 + 3319\/4. What is the third smallest value in k, m, -3, -2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + 10.7. Let b = 14.1 - d. Round b to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 11:06 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 0, r + 102 = v + 5*r. Suppose 3*i - 342 = 3*n, -5*i + 123 = -4*i + 2*n. Let t = i - v. Solve 2*c - u = 1 - 10, 5*u + t = -2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*s = 64, 4*g + 156 = -4*s + 3*s. Let d = g - -50. Calculate the greatest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 170*x - 163*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1795, -3570, -5359, -7168, -9003, -10870, -12775, -14724?\n\"Answer: -v**3 - v**2 - 1765*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -8. Let n(l) = -8 + z + 18*l + 0 + 9. Let q be n(-2). Round q to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x\/(x\/x**(-1)))\/x)**46)**(-26))**(-29) assuming x is positive.\nAnswer: x**(-34684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.19 + -0.35. Let l = k + -26.96. Round l to 0 decimal places.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8959*q*x**3 - q*x**2 + 20*q*x - 10*q - 109*x**3 + x**2 - 6*x - 175 wrt x?\nAnswer: -53754*q*x - 2*q - 654*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 2)*12\/(-18). Let k = i + 2. Suppose k = -5*j + 25, 0 = 5*d + 8*j - 4*j - 35. Solve -d = 5*h + 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 760140722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**32)**(3\/10)*y**(-5)*y*y**(-9\/5) assuming y is positive.\nAnswer: y**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3266 and 5888.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 960 and 9?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-20))\/1)\/((-892)\/3345).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 2*z = -o, -2*o = -2*z + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 90 and 19689.53.\nAnswer: 19779.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 65 = -h - 4*v, 2*h - 141 = 3*v. Suppose -r + 0*d - 4*d + 20 = 0, -h = -3*r - 3*d. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10111101 + 102120?\nAnswer: 10220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 65010*l**2 + 455113*l + 390102.\nAnswer: -(l - 65017)*(l + 1)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/18 and 4\/(-6) - 597\/(-126)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -302705\/34 - -8904. Calculate the common denominator of m and 49\/10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**0)**15\/(p**(-3\/7)\/p**(2\/9)) assuming p is positive.\nAnswer: p**(986\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.81 and 766.\nAnswer: 768.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -2 - (-2 + (7 - -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5408?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t**2*t)))\/t)**(-32)*(t*t**(-5))\/t**6)\/((t**3)**(-4\/29))**43 assuming t is positive.\nAnswer: t**(-1630\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Let y(l) = l - 1. Let w(z) = 4*n(z) - 6*y(z). Let s be w(5). Sort s, -5, 1 in increasing order.\nAnswer: -5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.275925651 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 13, -56 in descending order.\nAnswer: 13, -2\/7, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 7427328?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203492.\nAnswer: 2, 50873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86 and 31347?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40397 is divided by 8024?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 90*k**2. Let f be w(1). Suppose 4*b - 200 - 139 = -s, -b = 2*s - f. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 22053511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 11}. What is prob of picking 2 z and 1 a?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a factor of 24168433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -627647\/81510 - -2\/8151. Calculate the common denominator of o and -34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 1. Let n(k) = -15*k**2 + 315*k - 324. Let j(b) = n(b) + 12*q(b). Find x, given that j(x) = 0.\nAnswer: 1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(-6)\/162 - 32\/(-18). Sort -3, -5, m, 1 in decreasing order.\nAnswer: m, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -625*g**2 - 7524 - 386*g**2 + 7524 + 1201*g**2.\nAnswer: 190*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:25 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*(-3)\/(-54)*-6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0323 + -0.1323. Let j = -1.2 + 0.2. Let v = 1.5 + j. Which is the closest to l? (a) 1 (b) v (c) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/140)\/((-24)\/(-84)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (4 + -1))*-1. Suppose -7*l - 562 = -583. Let c = b + l. Solve -p = p - c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.34 (b) -4 (c) -0.5 (d) 1\/3 (e) 1\/26 (f) 11\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16418 - 14274. What is the remainder when c is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(10\/12*9\/120).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100111010101011101001 (base 2) in base 15?\nAnswer: 46d444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -45*r + 7. Suppose 4 = 2*h + 4*k, h + k + 3 - 2 = 0. Is b(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.3544 to 2 dps.\nAnswer: -3.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**3 - 5*t**2 - 17. Let k be 70\/6 - 3\/(-9). Let y(m) = k + 0*m**3 + 2*m**2 - 6 - 2*m**3. Let b(s) = 6*v(s) + 17*y(s). Factor b(r).\nAnswer: 2*r**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - z**2 - z + 1. Let k(d) = 12*d**4 + 17*d**3 - 2*d**2 + 4*d - 4. Let m(j) = k(j) + 4*n(j). Factor m(u).\nAnswer: 3*u**2*(u + 2)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*c + 38*c - 555 = 0. Solve 0 = s + l - 5, 2*s + 20 = c*l + 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 32. Let m be (a - -12)*(-26)\/(-4). Let w = 74 - m. Calculate the remainder when 65 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -664042996788058.0000159 - -664043027652915. Let r = 30864517 - g. Let w = -340 - r. What is w rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30907780 to the power of 1\/2, to the nearest integer?\nAnswer: 5559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -21. Suppose z + f = -8. Is -12 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53244 by 8874.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 361, -4, -340610.\nAnswer: -340610, -4, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/16 - (-12)\/(-48). Let f(g) = g**3 + 2*g + 3. Calculate f(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5236 - 5235.5. Let n be (2\/(-4))\/(33\/22). Put -22, n, v in decreasing order.\nAnswer: v, n, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 307 + -1823\/6. Which is greater: t or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13515 + (-13 - -13) + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.17 (c) -0.3 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/10 and (-7)\/(-54)*150\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Let j(s) = 134*s - 3. Let w be j(2). Suppose 0 = i*m - 8*m + w. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -34*a. Let y(w) = 46*w + 6. Calculate y(z(o)).\nAnswer: -1564*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -189334284 divided by 4?\nAnswer: -47333571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, u: 1, a: 5, i: 2}. What is prob of sequence qiai?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l + 2. Let z be i(6). Let m = 5 + z. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -701 + 703.91. Let s = -0.09 - j. Which is the biggest value? (a) -5\/2 (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33875994, -67751986, -101627978, -135503970, -169379962, -203255954?\n\"Answer: -33875992*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 5*f - 1 - 2*f + 50*f**2 + 0*f + 17*f in the form s + o*f + a*f**2 and give a.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16, -6, -36, -74, -120, -174?\n\"Answer: -4*a**2 - 10*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 7:08 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-24)*z*(z*z**(6\/17)*z)\/z)\/(z**(-44)*z**(-26\/9)) assuming z is positive.\nAnswer: z**(11512\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 28. Let h(c) = -7*c**2 + 1 - 3 + 8*c**2 - 4*c + p*c. Calculate h(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 - (374\/(-4))\/11. Suppose -10*o + 336 = -k*o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 20*z**2 + 3*z - 5. Let s be c(14). Let x = -1 - -3. Suppose 0 = -x*f + 8457 + s. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4287, -3, 4 in descending order.\nAnswer: 4287, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10098 and 126?\nAnswer: 70686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -36*b**2 - 1\/60*b**5 + 1\/120*b**6 + 0 + 0*b**3 - 1\/8*b**4 + 0*b. Find the second derivative of y(p) wrt p.\nAnswer: 6*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 31*t**3 - 2*t + 2. Let k(n) = 30*n**3 - 3*n + 3. Give 3*g(y) - 2*k(y).\nAnswer: 33*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-1992326.\nAnswer: -15938608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30249 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -13. Find the second derivative of q - 5*q**3 + 2*q**3 + v*q**3 wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by (1 - (9\/(-3) - 33)) + -2.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 8. Suppose -3*b + u + 4 = 0. What is the third derivative of -b*d**2 - 2*d**3 + 3*d**2 + d**2 wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-552)\/(-36)*((-49)\/(-21) - (-8)\/(96\/(-10))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 74*y - 19. Let a(v) = 8*v - 2. Let x(p) = -19*a(p) + 2*t(p). Let r(n) = n + 564. Give x(r(s)).\nAnswer: -4*s - 2256","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1620730 - 1?\nAnswer: 162072e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 2:05 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 46. Let l(d) = d**3 + 8*d + 4. Let b(f) = -2*f**3 - 17*f - 9. Calculate j*b(x) - 13*l(x).\nAnswer: -x**3 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + c - 1400 = 0, 4*c + 73 = 4*i - 1327. Let y = i + -1999\/5. Let k = 50 + y. Put k, -2\/11, 2\/9 in increasing order.\nAnswer: -2\/11, k, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -201 at most as big as -1260453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 7*d - 6. Let b be a(9). Let m be 8\/b*(-1 + -8). Calculate the greatest common factor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**3 + 36*c**2 + 16*c + 423. Determine p(-11).\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18190330 and 15155?\nAnswer: 2165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)\/(c\/c**5))\/(c*c\/(c*c*c*((c*c**(1\/3))\/c)\/c*c))**(-1\/35) assuming c is positive.\nAnswer: c**(1769\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -990775*o**4 + 4*o**3 + 136726119*o wrt o?\nAnswer: -11889300*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -1.6\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 12*q**2 + 1535*q - 97. Give p(-128).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.4 + -1.4. Let x = q - 7.2. What is x rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, -17, -36, -61, -92, -129, -172?\n\"Answer: -3*f**2 - 4*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4\/4 - 10*j**3 + 73*j**2\/4 + 57*j\/2 = 0.\nAnswer: -1, 0, 3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*n - n - n)*(n + 0*n + 0*n) + 2*n**2 - 4*n**2 + 0*n**2 + n**2 + 0 + 0 + n**2 + 3*n**2 - 9 + 11)*(0 + 0 - n).\nAnswer: -n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 885225 + -0.058.\nAnswer: 885224.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 579.5106 millimeters to nanometers.\nAnswer: 579510600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 20 = 2*g, -5*s - 3*g = -22. Suppose 9 = s*i + 3*j, 4*i + 3 = -0*j + j. Suppose i + 2 = t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 - 9*x**2 - 3*x + 4*x as w*x**2 + c + k*x and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.46? (a) -13 (b) -4 (c) 5 (d) -2501\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2885276?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*-6*((sqrt(1331) + ((sqrt(1331) - ((sqrt(1331) - (sqrt(1331) + 2)) + sqrt(1331)))*-4 - sqrt(1331)) + sqrt(1331))*-5*-5)**2.\nAnswer: -62775000 + 7920000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -139 - -20?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -36*o**2 - 5*o - 10. Let w(t) = -36*t**2 - 4*t - 6. Determine 6*w(h) - 5*y(h).\nAnswer: -36*h**2 + h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z - 56. Let t be f(15). Suppose a - 6*o - 4 = -t*o, -a - 3*o = 16. List the prime factors of (a + 398\/4)*2.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681629 to the power of 1\/2, to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 224 + -120. Suppose -2*a - 2*u = 2*a - h, 5*a = u + 137. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -10*d - 24. Determine g(3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*q - 14 = 0, 0 = -g - 0*g + 2*q + 29. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 7*b**2 - 7*b - 6. Let a be c(-6). Let q = a + 2. What is the second derivative of r - r**q + r - 4*r wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 12, 0 = 3*j - 241*x + 239*x - 51. Suppose 0*f + 8 = -4*f. Let u(h) = -4*h + 2. Calculate the remainder when j is divided by u(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*716310\nAnswer: 4297860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*x + 68 = 0, 5*i - 85 = -0*i + x. Suppose 0 = 2*t - 57 + i. Calculate the greatest common divisor of 220 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.44 + 0.06. Let p = 2.5 - t. Let h = -0.04 - -0.04. Which is the third biggest value? (a) 1\/4 (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.9 less than 0.3?\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = -48 + 96. Let a(y) be the first derivative of m + 1\/3*y**2 + 1\/18*y**4 - 2\/9*y - 2\/9*y**3. Determine s, given that a(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(68) + (2 + sqrt(68))**2 + 5 + sqrt(68) + ((sqrt(68) + 0 - sqrt(68))**2 + -1 - (sqrt(68) + 2)*5).\nAnswer: 2*sqrt(17) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**4 - 4*m**2 + 0*m**3 - 12*m**3 - 2 + 12*m**3 to v*m + p*m**2 + r*m**4 + f + j*m**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, y: 3}. Give prob of picking 1 y and 1 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -36. Let p be (-4)\/6*z\/(-5). Suppose -5*g = -2*b + 3004, b = -p + 4. What is g rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73049 divided by 20\nAnswer: 73049\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.57693um in meters?\nAnswer: 0.00000557693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*i + 38984 = 312*i - 4*i for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**3 - 2*q**4 + 101 + q - 21*q**2 - 87 + 20*q**2 to s*q + w*q**4 + m*q**2 + u + k*q**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 2*c**2 + 7. Determine x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5533?\nAnswer: 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 21 - 34 = -3*n, 4*j = 4*n - 60. Let k be 2*(1 - 2)*j. Let i be (k - 1) + (-2 - 0). Calculate the greatest common divisor of 34 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/13 + 22989472*n\/13 + 66064477854848\/13.\nAnswer: 2*(n + 5747368)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/10*u**3 + 219\/10*u - 111\/10*u**2 - 109\/10 = 0. Calculate u.\nAnswer: 1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24656711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-2 + -8 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5 = -2*b, 0 = -w - 2*w - 4*b - 29 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 7*i - 9*i = 193440006, -5*i = 3*x + 96720015. Round x to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4439, -8696, -12955, -17216, -21479, -25744, -30011?\nAnswer: -34280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-4)*16\/(-4). Let d = l + 17. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397043107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7731.423162 rounded to one dp?\nAnswer: -7731.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2420045 and 42734.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2 - 71103*w - 213282 = 0. Calculate w.\nAnswer: -23698, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, n: 5, x: 3}. Give prob of picking 1 n and 3 x.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(64)*2 + sqrt(64) - sqrt(64)) + sqrt(64))*1)\/(3*(sqrt(288) + -2*sqrt(288)) - sqrt(288)) + 5 + 4)**2.\nAnswer: -18*sqrt(2) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 54*g - 160701 = 50*g, 0 = -l - 4*g + 32137. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**3 - 52*n + 37*n - 6*n**3 + 5*n**3 + 10.\nAnswer: 5*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 14*p + 7. Let y be (-104)\/182*(-7 - -2 - 2). Let a(k) = 10*k + 67. Let f be a(-6). Let z(l) = -7*l - 4. What is f*z(d) + y*x(d)?\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - o + 25 = 0, -5*d - 5*o + 29 = 4. Suppose -5*l + 14 = 4, -5*x + d*l - 600 = 0. Let c = x - -225. What is the remainder when c is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -745 - 10*k**5 + 745 + 10*k**5 - 28 + 28 - 2*k**5 - 2*k**5 + 5*k**5 + (-2*k**3 + 3*k**3 - 2*k**3)*(0*k**2 + 0*k**2 - k**2).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0*v*v\/(((v*(v*(v\/v**(-10\/9)*v)\/v*v)\/v*v)\/v)\/v))\/((v*(v\/((v*(v\/(v**(7\/5)*v))\/v*v)\/v))\/v*v)\/(v**(-35)*v)) assuming v is positive.\nAnswer: v**(-1733\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 8*d**2 + 13*d + 42. Suppose 2*g = 10, 3*x + 5*g + 31 = 7*x. Let i be q(x). Round i to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-3 + 6)) + -9 - -16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32 and 5?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 4*a**2 + 5*a - 5. Let w be l(5). Let b = w + 9. Solve 3*k + 3 = 3*d, -2*d + b + 4 = -5*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 99666 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2394913584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 9:32 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2111 is divided by 37?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 10 = 3*g - 41, 4*z - 4 = 0. Suppose g*v = 16*v - 915. What are the prime factors of v?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 2718*s - 16366. Give y(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 465676437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -926, -3531, -7870, -13943, -21750, -31291, -42566?\nAnswer: -55575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 - 25 - (6 + -6 - -11).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/3, -5, -129?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is bbb0 - -2?\nAnswer: bbb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 968732 greater than or equal to 968731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**2 - 1653*r + 3294 = 0.\nAnswer: 2, 549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**6\/15 - 36*o**5\/5 - 79*o**4\/12 + 8*o + 11. Find the third derivative of p(y) wrt y.\nAnswer: 48*y - 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-4)\/(-8)*(11 + (-42)\/18).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from kakkkcgykcuck.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7921\/13694 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 4333618482.\nAnswer: -4333618477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 4:58 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.74 to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2818586 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48532 divided by -2?\nAnswer: -24266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 136256 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8951362 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134 - -12. Let r = n - -190. What is the remainder when r is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.12 times -9126.18?\nAnswer: -10221.3216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19048, -38083, -57106, -76117, -95116, -114103?\nAnswer: -133078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 56814, -5, 7 in decreasing order.\nAnswer: 56814, 7, 4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4366057 (base 8) in base 15?\nAnswer: 183050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*f = 132*f. Solve -2*l - 9 = -3*x, 2*l - 7*x + 6*x - 1 = f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g. Let a be j(-9). Suppose 5*i - 18 - a = 0. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - t**2 - t - 1. Let o(n) = -817*n**5 + 2*n**3 + 66*n**2 - 2*n - 2. Let i(j) = 2*d(j) - o(j). What is the third derivative of i(k) wrt k?\nAnswer: 49020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*z - 264*z - 260*z - 263*z + 878*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 496532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003782 rounded to seven decimal places?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19963278 to the power of 1\/2, to the nearest integer?\nAnswer: 4468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.216*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sms when three letters picked without replacement from {y: 8, i: 3, k: 1, r: 1, m: 2, s: 5}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (3 + (0 - -3 - 2) - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {r: 1, e: 2, z: 2, y: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 3*o - n, o - 3*o - 5*n + 303 = 0. Suppose 4*v - 5*p - 207 = 0, -93 + 145 = v - p. What is the greatest common divisor of v and o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 2011 - 2002 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -0.8. Let m = f + 0.3. Let x = 36 - 38. Which is the closest to -2\/9? (a) 2 (b) x (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3\/7, 4, 327, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-72))\/(19\/(2736\/12))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-30))\/(21\/(-105)). Let m = 313.4 - 313. Put m, -39, a in decreasing order.\nAnswer: m, a, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - 0.1. Suppose -3*c - z = -115, -17*c = -16*c - 5*z - 65. Suppose 0 = 36*a - c*a + 20. Sort v, a, 0 in ascending order.\nAnswer: v, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*y - 51, 5*t = 3*y - 8*y + 65. Calculate the common denominator of 20\/(-5)*t\/6 and 1 - 1 - 114\/(-21).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l**2. Let g(w) = 29*w**2 + w + 1. Let m(s) = -2*g(s) - 7*z(s). Find the second derivative of m(n) wrt n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(1\/(-4))\/(4\/(-8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 l, and 1 j when three letters picked without replacement from lljbbvbbjfcl.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 1. Let n(t) = -t + 1. Let h be n(-2). Suppose -p = 3*s + 3*p + 15, -3*s = -2*p - h. Let f(w) = 4*w + 2. Calculate s*f(g) + q(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*a + 4*v + 1, 5*v = -15. Let h be (a\/8)\/((-1)\/(-6)). Find the second derivative of 5*u**3 - 2*u - 3*u**3 - h*u**3 wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 1. Let j(q) be the third derivative of -13*q**4\/6 + 7*q**3\/6 + 10*q**2. Let c(z) = j(z) - 6*v(z). Is c(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/((-2175)\/(-2610))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 23. Suppose j + 23 = 5*r, r - 21 = -3*j - 2*r. Suppose -8*h = 2*d - 3*h - c, -3*h = -j*d - 4. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, -7, 1, -60.\nAnswer: -60, -20, -7, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281040 divided by 80065?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64150 - 39181. What is the ten thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8509 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33335838.00363 - 33335661. Let f = -177 + n. Round f to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 - 2 + 25*v - 25*v)*(0*v + 3*v - 5*v) + (-1 - 1 + 2*v**2 + 6*v**2)*(-6*v + 6*v + v) as t*v**3 + w*v**2 + i*v + k and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -120 + 3?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 3*z - 0*z. Let a be z\/(-12) + (-1)\/3. Suppose 4 = 4*c, 0 = -7*o + 2*o + 3*c - 23. Put o, a, 1 in increasing order.\nAnswer: o, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x. Suppose -5*r - 3*w - 18 = 0, r - 5*w + 26 = -x*r. Let u = -2 - r. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 6*w**2 - 6. Let y = -33 + 61. Suppose 24 = 4*i + y. Let x be -4 + 11 + (2 - (4 + i)). Calculate u(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3*p - 5)*(1 - 4 + 2 + (-4 + 4 - 2)*(14 + 8 + 7))*(2*p - p - 4*p) + (5*p**2 + 0*p**2 + 0*p**2)*(-1 + 0 - 1) to v + z*p**2 + m*p and give z.\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, d: 4, f: 5}. Give prob of sequence uu.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-20))\/(4\/30). Let h(v) = -5*v**2 - 13*v + 4. Let a(x) = 9*x**2 + 25*x - 8. Let c(u) = -6*a(u) - 11*h(u). What is c(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q + 407 = -5*s + 1755, -2*q = -3*s + 60 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 309 + (-3)\/(-12)*0. Suppose -l + 88 = -13*o. What is the remainder when 251 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -52 in -721, 0, -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1.7, 5, 3 in ascending order.\nAnswer: -1, 1.7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*z - 0*f + 243, 6 = 2*f. Let k(w) = w**2 + w - 2. Let b be k(2). Suppose -4*y + 2*i = -2*i - z, 0 = -2*y + b*i + 36. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/6 - 35*g**2 + 139*g\/2 - 104\/3 = 0 for g.\nAnswer: 1, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -10*b**2 + 3. Let f(z) be the second derivative of -z**3\/6 + 7*z**2 + 3795*z. Give f(m(q)).\nAnswer: 10*q**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r + 22 = 32 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*p + 591*p = 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 211057 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41, 59, 67, 65?\n\"Answer: -5*t**2 + 33*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/10 + -11\/10. What is the nearest to 3 in -1, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4050*y**2\/7 - 25560*y\/7 - 40328\/7 = 0.\nAnswer: -142\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -234 * -0.3\nAnswer: 70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1384941896 divided by 346235474.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000331297 rounded to 6 decimal places?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/(531\/(-295))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - 60. What is the tens digit of 2\/q - 1085\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -260261453\/5350 - -48647. Let p = 275507\/32100 - d. Find the common denominator of p and 23\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30.6235 and 4.\nAnswer: 122.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7034 + 752618\/107. Which is greater: f or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k + 38396369226*k**3 - k - 38396369241*k**3.\nAnswer: -15*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/((-230)\/((-3036)\/(-66))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 185982448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*h**4*s + 6*h**4 + 2*h**3*s + 60*h*s + h - 1 wrt h.\nAnswer: 72*h**2*s + 72*h**2 + 12*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**3 + 2*u**2 - 6*u + 5. Let o(j) = -5*j**3 - 2*j**2 + 6*j - 6. Determine -6*h(l) - 5*o(l).\nAnswer: l**3 - 2*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 663 = -211*p + 214*p. Calculate the highest common divisor of 26 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -25831 + 25830 - 7*n**2 - 17*n**2. Determine z(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-12) + -5)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r**2 + 3*r**2 - 7*r**2)*(16*r**2 - 36*r**2 + 21*r**2) - 5*r**4 - 1927 + 1927 to s*r**4 + q*r**2 + v*r**3 + o*r + a and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + (sqrt(153) - (sqrt(153) + -1))*4))**2.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**2 + 21*n**2 - 13*n**2 + 11*n**2 - 30*n + 11*n**2 in the form s*n + k + z*n**2 and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -930 or 1?\nAnswer: -930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 0 + 220*t**2 + 2 - 2 - 208*t**2. Let f(j) be the second derivative of j**4\/12 + j. What is f(c(d))?\nAnswer: 144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 203?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 2. Let i = p - -17. Let l = 0.04 - -2.96. Which is bigger: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 116*v**2 + 429*v - 80. What are the prime factors of o(11)?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*v - 44*v. Let b be 0 + ((-8)\/10 - -1). Is v at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48486*a**3 - 32014 wrt a.\nAnswer: 145458*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420\/140 - (0 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26, 22, 20, 20, 22, 26, 32?\n\"Answer: i**2 - 7*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 73. Let l = w - 46.9. Let a = l - -3. Sort -4, a, 1.\nAnswer: -4, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 20. Let h(a) = -12. Let g(o) = 5*h(o) + 3*x(o). Let i be 0 - 0 - -2*1. Let b(l) = -l**2 + 2*l**i + 0*l**2. Give g(b(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 780766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1866880 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*v**2*x**2 - 14630*v**2*x + v*x**2 + 2*v*x - 6269*x**2 - 3 wrt x.\nAnswer: -20*v**2 + 2*v - 12538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 5:43 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - d**2 - d**2 - 14*d**2.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50488736 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 98533882 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oioopnosoooonwo. Give prob of sequence posw.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 11*y - 5. Let t be g(-7). Let h be t\/(-26) - 2\/13. Suppose 12 = 4*c - 5*w + w, c = -5*w + h. Solve -2*j - c*k = -8*k - 14, 2*j - 12 = 4*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71126?\nAnswer: 2, 11, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 5*l - 5*l - 4*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/10 - 6\/30. Suppose h*d - 5*d = -210. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = x + 14 + 7, 3*a = 3*x + 15. Solve -35 = a*m - 19 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37021 or -37023?\nAnswer: -37021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-5))\/(10\/(-75)). List the prime factors of 11*z\/5*10\/4.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r**3 + 11*r**2 + 5*r - 13. Let z(t) = t**2 - 5 + 0*t**3 + 2*t + 4*t**3 - 1 + 4*t**2. Let q(b) = -2*k(b) + 5*z(b). Is q(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21636 divided by 5409\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -160 and 0.5?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 11*z**2 + z + 13. Let o be v(-11). Factor -2\/5*f + 0 + 2\/5*f**o.\nAnswer: 2*f*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.6 + 1.9. Let l = o - -2.2. What is the biggest value in -0.2, l, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/9 + 16478*p**4\/3 + 214132*p**3\/3 + 2272792*p**2\/9 + 197584*p\/3 - 395264 = 0. Calculate p.\nAnswer: -24704, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y + y - 2*y)*(21 + 36 - 16) + (0*y + 2*y - y + (-1 - 1 + 0)*(-y + 3 - 3))*(-2 - 3 + 4) + 8 - 9*y - 8.\nAnswer: 275*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = s, -4*v + 4590 = 3*s - 2844. Does 62 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*f + 6 = -9, 5*y + 4*f = 22. Let o = 79 + -77. Let h(n) = 11*n**o - 2 - n + 9*n**2 - 16*n**2. Determine h(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187498 and 482?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (111\/(-1332))\/(897\/(-36) - -28)\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkppppkkqkqkkkpq. Give prob of picking 1 p and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 66. Which is greater: w or 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30446077, 30446073, 30446067, 30446059?\n\"Answer: -c**2 - c + 30446079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 151*k + 319. Is n(64) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (6 + -3 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 282.31119 milliseconds?\nAnswer: 0.0047051865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16 - (-5396)\/(-342))\/(-1 - (-20)\/18). Solve 2*m + q*u = -18 + 30, 9 = -m + 4*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*(18\/105)\/(6\/14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21.52641 and -3.7563.\nAnswer: 17.77011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 42 = -5*o, 2*o = 4*t - 3*o + 51. Let z be (t\/(-5))\/((-3)\/(-5)). Solve -u + z*u = 3*x - 19, -3*x - 6 = 3*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/19 - -7\/114. Let r(x) be the third derivative of -x**2 + 1\/15*x**5 - 1\/120*x**6 + 0*x + 0 - i*x**4 + 0*x**3. Factor r(n).\nAnswer: -n*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 c when three letters picked without replacement from zcmmismzcicc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q**2 + 22*q + 613. Determine o(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -71*q. Let c(p) = 6*p**2. What is c(u(t))?\nAnswer: 30246*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 154*u**3 + 1. Let t be p(1). Let c(r) = 63*r + 25. Let x be c(5). Let y = x - t. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**2 + 23*h + 4. Give k(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 61*o**2 - 6*o. Let t(h) = -189*h**2 - 128*h. Let g(s) = 568*s**2 + 413*s. Let b(a) = 5*g(a) + 16*t(a). Give 6*b(v) + 17*z(v).\nAnswer: -67*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from {i: 2, c: 2, x: 2, v: 4, z: 3, o: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 - 16a?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/29, 3, -3\/5, 1\/26, 2, 5120, 4?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u. Let i(m) = 46*m. Let b(g) = 1629*g + 1. Let z(s) = b(s) + 4*i(s). Calculate z(t(n)).\nAnswer: 1813*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/45 - 31801\/(-105).\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 15. Let x be 10\/(-3)*q\/(-15). Is x + (1 - 2)*-25 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Let d be (-100)\/(-8) + 3\/(-6). Let p be ((-3)\/d)\/((-12)\/(-32)). Which is the second smallest value? (a) 0.2 (b) j (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4451*y - 4551*y + 3300 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Suppose -o*g + 59 = 5*r, 2*g = -g + 5*r + 19. Let k = g + 3. What is the greatest common divisor of 32 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by -231*1\/1*46\/(-138).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1444 is divided by 709?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1722 - 1?\nAnswer: -1.1722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/88 (b) 48\/11 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -65 and -34.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**3 + 27. Let n(w) be the first derivative of -3 - 2*w**2 + 4*w**2 - 5*w**2. Give n(u(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 432\/720*65\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 9 = 5*y - 4*o, 0 = 4*y - 5*o. Let i = y + -3. Factor -j**3 + 4*j**3 - i*j**2 - j**3.\nAnswer: 2*j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-697948)\/116 - 2\/(-1). Let a = 6017 - t. Let b = -80551\/11746 - -1\/1678. Find the common denominator of a and b.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2782a0 (base 12) in base 11?\nAnswer: -409717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9526*q*x**2*y**3 + 9*q*x*y**2 + 20*q*y**2 - x**2*y**2 + 2*x*y wrt y.\nAnswer: -57156*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -557 + 572. Suppose -m = -5*i - 15, m + c*i - 60 = -3*m. Calculate the remainder when 147 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 445547103077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqvhist. What is prob of sequence vts?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3*f + 4*f)*(-13*f + 130*f + 20*f)*(5 - 1 - 5).\nAnswer: -137*f**2 - 685*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2208 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -123 - -125. Differentiate 0*x**4 - 43 - 12*x - 2*x**4 - f*x**4 - 22 with respect to x.\nAnswer: -16*x**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + -2*-1*sqrt(5)*4*1)**2.\nAnswer: -192*sqrt(5) + 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10333 (base 4) to base 5.\nAnswer: -2234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125 (base 6) to base 7.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 4:00 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Let m = -1 - 1. What is the units digit of (h\/m)\/((-1)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 3872675.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -870*x - 473.\nAnswer: -870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 0*j**3 - 16*j**3 + 7*j**3 + 6*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 1540.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 6 - (-21204)\/(-1330)) + 78\/(-1365).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-40)*-5*2*-1*-3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**2 - 2*f - 1. Let v(h) = -2*h**3 + h**2 - 1. Let g = 3 + -4. Let c be v(g). Give d(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - o - 198 = 0, -256 = -4*i - o + 8. What is the lowest common multiple of i and 55?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 30143 = -2*t - 3*r, 2*r = 8. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4696 divide 1217342373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 228 + -228.06. What is the nearest to -1 in -0.1, i, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25854947*k**2 - 3*k + 19107145?\nAnswer: -51709894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**2\/3 + 8*x\/3 + 32\/3 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*(-188)\/(-846)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jssjjsj. Give prob of sequence ss.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -20*h**3 - 2. Let b(f) = 10*f**3 + 1. Give -13*b(k) - 6*v(k).\nAnswer: -10*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 7\/2*k**2 - 48 + 52*k. What is the derivative of l(a) wrt a?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 1155?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, -0.1, 3\/2, -9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 28 = -c, 5*d - 4*c - 52 = -c. Suppose -93 = -5*u + 7. Is 6 a factor of 2\/d - (-115)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 6*d + 3 - 4*d**2 + 4*d**2. What is the units digit of i(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Suppose 2*t - 9 = x, -2*x - 2*t + 13 = x. Let z be x*(-3 + -3 + 5). Let g(j) = j**2 - 2*j. What is z*g(b) + 2*w(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123644405*s**4 - 105100597*s**2 wrt s.\nAnswer: 2967465720*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 167.\nAnswer: -50.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.7 + -12.7. Which is the biggest value? (a) 2 (b) y (c) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3479 - -3478.996722. Round j to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -31*a**3 + 19*a**2 - 17*a - 73. Let b(s) = -19*s**3 + 11*s**2 - 10*s - 44. Let t(v) = 13*b(v) - 8*g(v). Let c = 17 - 8. Is t(c) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 + 19)*31\/(-8). Let m = f - -39. What is the nearest to m in -8, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t**5 - 2470*t**4 - 605*t**3 + 10890*t**2 = 0. Calculate t.\nAnswer: -11\/5, 0, 2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 2. Let v(i) = -3*i + 9. Let f(y) = -9*p(y) + 2*v(y). Let b(x) = -3*x. Give f(b(l)).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 + -1.4. Let x = 151 + -1059\/7. What is the second smallest value in 2\/5, x, d, 14?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11547, 11483, 11419, 11355, 11291, 11227?\nAnswer: 11163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by -215\nAnswer: -30\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k**2 - 46*k**4 - 8*k**2 + 7*k**4 + 3*k**3 - 2*k**3 in the form x*k**4 + f*k**3 + s*k**2 + j + h*k and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 4*x**3\/3 + 3*x - 116. Let b(h) = h**2 + 1. Let c = 20 + -23. Determine c*b(a) + l(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6 - 3 - 3 - 1. Suppose -n - 2*n = 3. Let q(v) = 1 + 4*v**3 - 2 - 2*v**3. Determine n*s(w) + q(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-15))\/(2\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51889\/22836 - 1\/2076. Let x = -120\/77 - q. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + 6*(2*(3*sqrt(171) + sqrt(171) - sqrt(171)) + 0 + sqrt(171) + -2)))**2.\nAnswer: -81900*sqrt(19) + 7545325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4 - 2. Suppose a + 6 = 3*u. Find the first derivative of u*y - 2*y + 0*y + 2 wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -5, -4\/5, 2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 + -96.4. Let k = -28.5 - -37. Let o = k + -8. What is the closest to -7 in g, o, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from {b: 1, r: 1, a: 1, x: 6}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 0.072.\nAnswer: 0.0432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**2 - 40*v - 420 = 0. Calculate v.\nAnswer: -6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - 28*o**2 + 15*o**2 - 17*o**3 + 8*o**2.\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-13)\/(-2))\/(7\/42) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2003912120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 38702.4 to the nearest ten.\nAnswer: 38700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 1318.\nAnswer: -527.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -7 + 12 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3)*w)\/(w\/(w*w**(2\/13)*w)*w))**28*(w**(-2)\/w**(5\/4))**37 assuming w is positive.\nAnswer: w**(-16631\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 5*q**2 - 33*q - 20. Let b be a(6). Let n = b + -9. What is the remainder when 53 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-50 + 0 + (2 - 1) - (-66 + 79))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.4, -2\/9, 178.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/(-40))\/(2\/5). Suppose 4 + 12 = n*a. Suppose -4*b - 2*x + a = -4*x, 5*x = 0. What is the smallest common multiple of 5 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) 3 (c) -0.175 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-21))\/((-96)\/(-36)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/2 of a century?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 216431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**3 - 2*d**2 - 1755*d - 3383?\nAnswer: 6*d**2 - 4*d - 1755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6281 + -3?\nAnswer: -6284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45383)\/7 - (-7 + 94\/14). Let r = f + 155677\/24. Find the common denominator of r and ((-4)\/(-6))\/(4\/133).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -61053 + -15a?\nAnswer: -61202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597*y**3 - 18*y + 19*y - 571*y**3.\nAnswer: 26*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-15)*-1)\/(64\/160)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((95\/90)\/19)\/((-1)\/4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 11:16 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1307856, 10462852, 35312122, 83702802, 163482028?\nAnswer: 282496936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3*n)\/n*n\/(n\/(n*n\/(n\/(n*n**(-1\/4))))))\/(n*n\/n**(-1)*n)**16 assuming n is positive.\nAnswer: n**(-237\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2*j + 34. Let c = 32 - j. Let t(i) = i**2 + i - 10. Let a be t(-5). What is the highest common divisor of a and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0726950512 + 0.4\nAnswer: 0.4726950512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -122 - 15?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 246\/5*x - 10*x**2 - 342\/5 + 2\/5*x**3.\nAnswer: 2*(x - 19)*(x - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7391 = -10*z - 29051. Let p = -2670744 + 26729063\/10. Let w = z + p. What is the common denominator of -26 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*q - 108, 2*r - 3*q - 145 = -37. Calculate the greatest common factor of 606 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11524*w**2 + 24377?\nAnswer: 23048*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-5)\/(30\/7))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 109413276 and 642348?\nAnswer: 328239828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 16*p**2 + 16*p + 24. Let m(o) = -o + 7. Calculate the remainder when m(-6) is divided by g(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13 - 18) + 5 + -29 - 12) + (-3 - 3).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 12187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6160 - 5959. Calculate the remainder when y is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 + h**3 + h**3)*(-2 - 4 + 2)*(-199 + 199 - 21*h).\nAnswer: -168*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -9265.8 at least 0.04381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 2*i + 1. Let y(m) = -m - 3*m**2 + 15*m**2 - 11*m**2. Give -d(t) - 2*y(t).\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8 times 0.664302?\nAnswer: -3.1886496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 9*p**2 - 11*p + 10. Suppose 0 = -u - 3*f - 2*f + 30, -3*u + 4*f = -14. Let k be a(u). Solve -t + 3 + 0 = k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -26. Let b(w) = w**2 + 3*w. Let v be b(m). Suppose v = -4*r + 36 - 24. Solve 5*k + 8 = 3*s, -r*s = -s - 3*k - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3430 (base 6) in base 11?\nAnswer: -677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 1. Let b(d) = -4*d - 3. Let w(s) = -b(s) - 3*x(s). Let o(t) = -39 + 38 + 3*t - 7*t. Calculate w(o(z)).\nAnswer: 8*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 80, 61, 30, -13, -68?\n\"Answer: -6*o**2 - o + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 344771964?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -479*w**2 - 2*w + 6. Let i(u) = -958*u**2 - 5*u + 13. Give -2*i(r) + 5*q(r).\nAnswer: -479*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -59, -89?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41633*c**3 - 39736*c wrt c?\nAnswer: -249798*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23, 33, 43, 53?\n\"Answer: 10*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 - q**2 - 7*q**2)*(-2 + q**2 + 1 + q**2) - 238*q**4 - 84*q + 84*q in the form v*q + m*q**3 + b*q**4 + x + n*q**2 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**4\/6 - 2*z**3\/3 + z**2 + 8*z. Determine w(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 18*m - 24. Give y(-12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96939.018107 + 0.003.\nAnswer: 96939.021107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**2 + 330*a + 194. Let d be i(-41). Solve -30*f - d = -232 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413335 is divided by 166?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 663403410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 y when four letters picked without replacement from {u: 1, l: 3, y: 5, f: 5, v: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1040*v**4 - 8*v**2 + 15*v - 1767768 with respect to v.\nAnswer: 4160*v**3 - 16*v + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**4\/4 - 3*g**3 - 5*g**2 - 7*g - 286. What is t(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1009 + 1029. Solve -9 = t*o + 31 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 7*l**5\/20 - 13*l**4\/4 + 13*l + 45. Let b(a) be the first derivative of g(a). Find the third derivative of b(w) wrt w.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - -3) + -36 + 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24\/7, 2, 18.\nAnswer: -24\/7, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o. Let y(l) = -25*l**2 - 22*l**2 + 50*l**2. Determine y(g(b)).\nAnswer: 75*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 - 3 + 97 - 73 - 12 - 9.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 2*v**2 + v. Let z be d(-3). Suppose -q + 6 = 2*q. Suppose 0 = 3*x - 4 - q. Solve -x*r - z = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 - 1)*(-2 + 2 + 2)*(2 - 5 - 1) + 99 - 40 - 35)*(-4*u + 5*u - 3*u) to the form k + n*u and give n.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3))**2 assuming i is positive.\nAnswer: i**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 43, 75, 121, 187, 279, 403, 565?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2312 + -2296. Solve -4*v = 4*t - b + 4, 33 = 5*v - 4*t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13128 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 30 and -302?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -45*c**3 - 2*c + 2. Let k be y(1). Let x = k - -47. Suppose x*m - 6 = -0*l + 2*l, m + l = -5. Are 3\/20 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510418.9 rounded to the nearest ten thousand?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/4)\/2)\/((-10)\/(-4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -50 times -8285.76\nAnswer: 414288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -467 - -47165\/101. Let h = -1195104047\/1717 - -696042. Let n = m - h. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 946 - 1341. Suppose -5*w + 182 = 622. Let r = w - z. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 + -200120?\nAnswer: -200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*f - 21*f - 8*f - f - 3*f + 2*f + 0*f + 3*f - 4*f + (3*f + 2*f - 3*f)*(-1 - 1 + 0).\nAnswer: -85*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 587 - 274 + 3265*s**3 - 312 to the form z*s**2 + h*s**3 + l + o*s and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -50*h**3 + 12*h**2 + 12*h + 37. Let u(m) = 148*m**3 - 34*m**2 - 34*m - 111. Give 17*s(v) + 6*u(v).\nAnswer: 38*v**3 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 193*w + 29. Calculate a(-1).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -9669\nAnswer: -48345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/(-4) + (-1)\/(-4). What is the third derivative of -2 - 10*k**3 + 32*k**l - 16*k**3 - 50*k**2 - 1 - 8*k**3 wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -13. Suppose -3*d - 10 - 2 = 0. Put d, b, -1\/8 in decreasing order.\nAnswer: -1\/8, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s + s**2 + s**4 - 20075*s**3 - 1 + 20073*s**3 - 4*s**4 to the form f*s**3 + g*s**4 + o*s**2 + r + y*s and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -8*n - 33027, 3*f = -4*n - 0*n + 32991. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3782710 to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.58282 - -0.38282. Let o = -0.5 + 0.1. Let j = -4 - -4.3. Sort o, y, j.\nAnswer: o, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 1. Let k be d(1). Let t be (14 - 13) + k*1. Suppose t*q - q - 34 = 0. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + -7 + (187 - 144).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*s - 14 = 0, -13*w - 3*s = -10*w + 6. Solve -2*p - 6 = 2*x, p = -5*x - w - 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83*1054\/183430*65?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -847 + 1643. Is t a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 330*x + 12446. Give u(34).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 8 - 4, -4*a = -2*u + 4. Let t be (-974)\/(a - 4\/(-2)). Round t to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2217 + -4351\/2. What is the common denominator of u and -53\/1018?\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.032015 - -0.032. What is t rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -5 (b) 1\/52 (c) 1 (d) -2\/13 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in -0.5, -0.023, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5, -4*d = -m - 2*d - 11. Let v(o) = o**2 + 14*o + 9. Let c be v(m). Is c smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.09074 to zero decimal places.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 5:44 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 247429928 a multiple of 592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5630374 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 4*q - 1860. Let g be q\/(-6) + (-5)\/15. Suppose 0 = 5*x + 162 + g. What is x rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - g - 42. Let v = g + 43. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 91. Suppose -17*r + 14*r = -f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 1\/5, -20, 1\/10.\nAnswer: -20, -3\/5, 1\/10, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-182)\/130 + 9\/6?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 225, 346, 491, 666?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84706*m**5 - 2*m**2 + 3309*m - 7 wrt m?\nAnswer: -5082360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + -4. Let i = -7.35 - p. Let y = -0.6499971 + i. What is y rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -2\/15, 3, -34, 7, 2, -0.07?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146 - 1751\/12. Let s(p) be the third derivative of 2*p**2 + 0*p + 0*p**3 - o*p**4 + 0. Let a(v) = -v**2. Calculate s(a(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = b - 45. Let h be 5\/(-2)*24\/20 - -40. Suppose 0 = -4*v + 33*r - h*r - 72, -3*v - 48 = -3*r. Is v equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 - -80. Suppose x = 3*d - 7*d + 4. Solve 4*p + 3 = -d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 2 - k**2 + 20.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9\/2 + -57\/14. Let l be 2\/3*1*-3. Sort l, -0.2, n.\nAnswer: l, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/1*(-2)\/4. Suppose 5*o = -15 - h. Let g = 0.1 - 0.3. Put o, g, 4 in ascending order.\nAnswer: o, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 4*w**2 + 2*w. Let z be -3 - -2*2\/(-4). Let f be 76\/10 - 14\/(-35). Let a = z + f. Determine x(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e83 (base 15) in base 2?\nAnswer: -10011100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**5 - 9404*q**4 - 500732*q**3 + 2181324*q**2 + 1445832*q - 9688896 = 0?\nAnswer: -56, -2, 3, 2403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 356 - 357 - (18 + -1) - (-2 + 15)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o. Let u = -165 - -168. Let y(r) be the third derivative of 0 + 0*r**u + 4*r**2 + 1\/24*r**4 + 0*r. What is y(t(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 1609.\nAnswer: -96.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/301 and 55\/1978.\nAnswer: 13846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*1 + 0 - -3*sqrt(176) - ((sqrt(121) + (sqrt(121) - sqrt(121)*1))*-2)\/((-2*sqrt(22))\/sqrt(2)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1408?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -2, 8, 18, 28, 38?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 + -0.1. Let s = -3.4 + -18.6. Let r = 21.9 + s. What is the third biggest value in -0.2, r, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 8*y - 12 = 5*i, -5*y + 28 = 3*i. Suppose -4*j = -3*g + 3245, y = 2*j - 0. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 9:20 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (10 + -10)\/(-5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -b - v - 3, b + 5*v + 6 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 1)*-4 + 313?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2. Let s(o) = -40*o. Calculate x(s(l)).\nAnswer: -1600*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 - 3*j - 2. Let a be q(-2). Let c(b) = -2*b - 6. Let u be c(a). Solve u*p - 1 = 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -2. Which is the closest to n? (a) -1\/2 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9071634 is divided by 256?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by -4.\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, a: 10, i: 5, s: 1, m: 1, h: 1}. Give prob of picking 1 h, 1 i, and 2 a.\nAnswer: 75\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 10) + -8 - (8 + -9 + -38).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(((m\/m**(-1\/3))\/m)\/m))*m*m)\/(m\/(m\/(m\/(m*m**(-1\/3)\/m)))))**(-5\/18))**(-26) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 775 (base 11) to base 14.\nAnswer: 4a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 162.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15451, 32000, 49645, 68386, 88223?\n\"Answer: 548*v**2 + 14905*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -53\/910926?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwyz when four letters picked without replacement from {y: 1, w: 2, k: 2, o: 2, z: 1, p: 4}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 5\/4*p**4 + 0*p + 0*p**3 + 0 - 23*p**2 - 3\/5*p**5. What is the second derivative of l(i) wrt i?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 2*d - 2*d**5 + 4*d**5 - 5*d**5 + 2*d**5 + (-d + d - d**2)*(d**3 + 0*d**3 + 2*d**3) + 3*d**5 - 3*d**5 - d**5.\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6919 - 170.3681. Let h = -0.201 + -169.799. Let v = h - b. Round v to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*w**3 - 12*w**2 + 30*w + 23*w - 1563*w**4 - 4*w**3 + 13*w**2 + 1561*w**4 in the form m*w + p*w**2 + o*w**3 + s + y*w**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1639 divided by 58.\nAnswer: 1639\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k = -33*k + 957. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0 (c) 0.4 (d) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304, -231, -38, 335, 948?\nAnswer: 1861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -266\/9? (a) -0.1 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = q - 44, -3*q - 4*h - 196 = -7*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-5 - 13 - 0). Let h be (-1780)\/b + (-1 - 0)\/4. Calculate the highest common divisor of 37 and h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 7*u**2 - 6*u - 3. Let m = 14 + -8. Let z be j(m). Is 0 + 74 + (-3 - z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(5\/2))**(-44) assuming n is positive.\nAnswer: n**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + a**2 - 14*a + 2. Let v be i(0). Suppose -v*w = 5*m - 19, m + w - 4 = -2. Solve -z + 3 - 10 = -3*n, -16 = -m*z - 2*n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -6*t**5\/5 - 3*t**2\/2 - 57*t - 52. What is the first derivative of y(h) wrt h?\nAnswer: -24*h**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-20 - -12) - (0 + -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 5*a**2 - a. Let w(o) = 1. Let p(k) = -q(k) - 6*w(k). Give p(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -11012222?\nAnswer: 11012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119928 plus 0.158677?\nAnswer: 1119928.158677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -965*b + 65*b**2 + 3*b**3 - 62*b**2 + 965*b.\nAnswer: 3*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f = 0. Suppose f*c = c. Let b(z) = -1 + c*z - 2*z + 4. Let a(g) = -g + 2. Determine -5*a(s) + 3*b(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, t: 2, j: 1, g: 6, e: 6}. Give prob of sequence tgj.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-1))\/((-13)\/13). Let a(i) = -130*i**3 - i**2 - i + 1. Let d be a(y). Let z = -59 - d. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s = -17*s + 6 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 910 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -12, -8213 = -2*x - 4*z + 4265. Is x a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8372 is divided by 121?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (1 + -15 - (4 + -23))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/5 + 3916*v**2\/5 - 905472*v + 1633333248\/5 = 0.\nAnswer: 864, 2188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(16\/78)*(-72)\/(-108)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/2 - (5 - 8). What are the prime factors of 94\/(9\/z + 3 + -4)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*x - 8*x. Let h be (-3)\/2*(-8)\/12. Let p(y) = y + y**2 - 3*y**3 + h + 3*y - 6*y. Give p(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 481377385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -475046 - -475045.9999754161. Round d to 6 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 111. Let r be (-4)\/(-10) - (-909)\/15. Let i = r - o. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2. Let u(k) be the first derivative of -k**3\/3 - 7. Determine u(b(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 352 and 352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3713.16 rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 22. Let t(c) = -c**3 + 5*c**2 + 7*c - 5. Let v be t(f). What are the prime factors of (-3 - v)*11\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.354815 rounded to two dps?\nAnswer: -11.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4 + l + 4*l.\nAnswer: 5*l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15450 (base 10) to base 2\nAnswer: 11110001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3*x + 7, -5*z + 47 - 33 = 2*x. Solve z = -11*q - 29 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27103199927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, 2, 8, -24 in increasing order.\nAnswer: -135, -24, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6640647 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 2, 24839727?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*g - 14*p + 12*p, -g - 5*p = -16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18419891\/203310 - -1\/40662. Let k = -85 - q. Suppose -6*v + 5*v + 2 = 0. Which is smaller: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -3*w - 33. Suppose -j + w*k - 7 = 0, 2*j - 4*k = -7*k + 13. Solve -3*p - 7 = -o, 9 = o - 7*p + j*p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t**2 - 6*t - 2 - 29*t**2 + t**2 + 11*t**2 + 10*t**2. Let d = 3 + -2. Let w be (6\/d + -2)\/(-1). Give l(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23020 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*t - 138*t = -100 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 1 - 0)\/(3 + -5). Suppose q = -4*j - 20, -2*l - 2*j = -3*j - 181. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25.55 - -29. Let v = b + -42.05. What is v rounded to zero dps?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(34\/(816\/(-168)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -261 - -469. Let b = 331 - r. List the prime factors of b.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154, -72, 0, 5 in increasing order.\nAnswer: -72, 0, 5, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 78862407239.\nAnswer: -78862407236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-7)\/4*2. Let r(v) = -v + 1. Let g be r(u). Let n(q) = q**2 + 7*q + 6. Determine n(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18269591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 + 10159224*k**2 + 60955263*k + 91432854 = 0. What is k?\nAnswer: -3386402, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1176\/(-60) + (-18 - -33).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 264898.1 times 0.2\nAnswer: 52979.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, v: 6, p: 1, g: 1, h: 3, u: 1}. What is prob of sequence pvg?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -97161?\nAnswer: -3886.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - -3) + 10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 21*b**2 + 18*b - 86. Suppose 4*f + 374 = -13*f. Let c be m(f). Calculate the greatest common factor of c and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/14 or 44211?\nAnswer: 44211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {n: 18, j: 2}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-12 + 8 + 3 + 3)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.4 + 21.275. Let j = -5 + y. Round j to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 11787.\nAnswer: 4\/11787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*s + 4 = 0, -6*m = -m + 2*s - 14. Let q be (4\/11)\/m + (-184)\/44. Is q - 27*(-2 - 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.154 + -4.154. What is the second biggest value in 4, q, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-11)*h*h)\/h*h**(6\/11))**(-1\/25) assuming h is positive.\nAnswer: h**(82\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -208800 * -26\nAnswer: 5428800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 + 2*z - 2. Let m be h(1). What is the second derivative of -3*v**3 + 6*v - 11*v**3 - 22*v**m wrt v?\nAnswer: -216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 99*c**2.\nAnswer: -c**2*(c + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168486, 336935, 505398, 673881, 842390, 1010931, 1179510?\nAnswer: 1348133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(567) + 0) - (sqrt(567) - ((sqrt(567) - (1*sqrt(567) - sqrt(567))) + -4)) - -2*(-2 + sqrt(567))*5) + -4)**2 + 0.\nAnswer: -7056*sqrt(7) + 111916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6111357 - 0.1.\nAnswer: -6111357.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4361670 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8316155?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 6. Let p be j(0). Let f = 42 - 46. Let c = p + f. What is the second biggest value in 0.5, c, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 + 3*f**2 - 3*f**2 + 55*f - 8*f**2 - 55*f + (2 - 4 + 3)*(3*f**2 + 0 + 0).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*x - 5. Let f(i) be the second derivative of i**5\/20 + i**4\/3 - 2*i**3\/3 - i**2\/2 + 272*i - 2. Calculate f(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i + 0*i + i. Let n be -1 + (5 - 2\/1). Let l(r) = n*r + r - r. Determine w(l(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1697198 - -3307198. Round a to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4104 + 7208. Let u = 7419 - j. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 + 16*v + 18. Let g be i(9). Suppose g*z - z + 58 = 0. Suppose -p = -z + 6. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 13 in ascending order.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 23*r + 1. Let o be d(2). Let a = -35 + o. Let g = 11 + -6. Solve -2*s + a = -g*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29635*z**5 + 34*z**4 - 7*z**3 - 96036174*z**2.\nAnswer: -1778100*z**2 + 816*z - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-546)\/(-63)*177\/413.\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*u - x - 0*x, -4*x + 8 = -u. Suppose u*h = -h. Sort -4, h, -2.\nAnswer: -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-17))\/(1\/(-2))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 7*o**4 - 5*o**3 + 6*o**4 + 3*o**3 - 14*o**4 - 4*o**2 as v*o**4 + l*o**2 + k*o + u*o**3 + j and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 12 = 16. Solve -5 = -5*d, c*d + 0*d - 19 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*d + 100*d = 82*d + 8200. Which is the smallest value? (a) -5 (b) 122 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, h: 5, t: 13}. Give prob of sequence thpt.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.8 + 3.814. Let d = y - 0.104. Let f(p) = -4*p - 61. Let m be f(-14). What is the fourth biggest value in -3, d, m, 2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1592*q - 9613. Calculate h(6).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 8:06 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 26319216 divided by -6\nAnswer: -4386536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 232643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2280270 divided by 6?\nAnswer: -380045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b + 116. Let q be a(-19). Suppose -77 = -13*h + q*h. What is the remainder when 41 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41404\/1034 - 14) + -26 + 0.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 16*g - 4 = 2*j, -5*g = -j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/4*(-16)\/(-6). Let a = -5 + c. What is a rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 54*x**3 - 9*x**2 - 9*x + 9. Let b(h) = -h**3 + h**2 + h - 1. Calculate -9*b(c) - u(c).\nAnswer: -45*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*h - 55092 - 4406, 2*b + 4*h - 23804 = 0. List the prime factors of b.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5723.1125 rounded to one decimal place?\nAnswer: -5723.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -1. What is the common denominator of (-79)\/z - (-12)\/(-6) and (-1)\/((-200)\/101 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3\/7 - 223*x**2\/7 - 12543*x\/7 - 12321\/7 = 0. Calculate x.\nAnswer: -111, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, e: 1}. Give prob of picking 1 e and 2 b.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 0*n + 0*n as g*n + r and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3064*n**2 - n**3 - 1530*n**2 - 1534*n**2.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 4, t: 2, l: 10}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 + 599 + a**2 - 599.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124\/215 - 1\/43. Let b = -3315 - -3316. Put b, -159, n in ascending order.\nAnswer: -159, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2781116 and 156249?\nAnswer: 2937365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.03 + 0.27. Let k = 0.3 - q. Let w = 0.0285 - -0.0715. Which is the nearest to w? (a) k (b) 0 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1600*d + 3227*d - 1585*d.\nAnswer: 42*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 7*h**2 - 5*h - 4. Let q be a(6). Solve -2*w - q - 2 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 23134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - -13. What is the remainder when a is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2751627 - -2005887.\nAnswer: -745740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -4*x**3\/3 + 79. Let z(t) = -28*t. Calculate z(u(n)).\nAnswer: 112*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 364679000 rounded to the nearest one million?\nAnswer: 365000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 418.1867 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 5*q - 6. Let i(m) = -m**2 - 6*m + 10. Let t be i(-7). Suppose -4*b - 15 = -s, -t*s = -s - 3*b - 25. Let o = 16 - s. Determine d(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 0.1347809.\nAnswer: 3.1347809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/6 + (-105)\/(-18). Let o = -7 - -16. Let q = o - 6. Solve 4*l - 3*d - 3 = -0, 0 = -q*l + 3*d + w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7047744 and 2678005.\nAnswer: 9725749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28277248 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: Solve 5*x = p + 22, 5*p + 22 = 2*x + x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-6) - 39\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 10. Let z(h) = -1. Let n(p) = -d(p) + z(p). Let k be n(-7). Suppose -k = 2*u - 3*i - 213, 2*u - 2*i = 198. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13991 + 6227. What are the prime factors of n?\nAnswer: 2, 11, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*g - 3*g + 4*g)*(-2 - 5 + 5) + (1 - 1 + g)*(1 + 0 + 3)*(-3 + 1 + 4))*(8*g**2 - 10*g**2 - 17*g**2) as m*g**3 + b*g**2 + o*g + y and give m.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000975197 rounded to six dps?\nAnswer: -0.000975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**3\/3 - u. Let c(d) be the third derivative of -d**4\/12 - d**2. What is t(c(b))?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3267) + 1*sqrt(3267)*3)*1)\/(sqrt(81) - (2*-2*sqrt(81) + sqrt(81)) - 2*(sqrt(81) + sqrt(81) + sqrt(81)*-2 + sqrt(81))).\nAnswer: 22*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4317708 + -2699941. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*s + 221*s + 990 = 0. Let w(m) = -8*m**2 - 7*m + 1. Let h(r) = 9*r**2 + 6*r - 1. What is s*w(b) - 7*h(b)?\nAnswer: -15*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*r + 15*r + 285 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 156.274223.\nAnswer: 157.274223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a meter in millimeters?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482*i - 482*i - 4*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -1\/4*z**4 + 2*z**2 - z**3 + 0*z + 7\/60*z**5 - 1\/120*z**6 + 0. Suppose 0 = -i + 82 - 76. Give a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -2*r**3\/3 + 2*r**2 - 421*r. Let t(g) = 2*g**2 - g. Let y be t(-1). Determine j(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 25254 = -13757. Let u = k + 9964. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -78, 2912\/3 in descending order.\nAnswer: 2912\/3, 3, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1315 (base 13) to base 5.\nAnswer: -41342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 2472?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 166188 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Suppose 2*c - 359 + 25 = l. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20403148 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*f - 52 = -49, -3*f + 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 380*s + 379*s - 1 = 0, -4*g = -4*s + 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*r, j - 2*j + 4*r = -13. Suppose 4*a - 88 = -0*p - 5*p, j*a = -p + 89. Solve -2*u - a + 0 = 3*m, 0 = -2*m + u - 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 + 108*q. Let l be g(-27). Suppose l = -5*t + 5, -4*k + 9*t - 4*t = 5. Solve -f = -k*f - 3*h + 9, h - 3 = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 12 - 3 - 4*v + 0.\nAnswer: -4*v + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + u + 11 = 0, -2*z - 2*u + 33 = 3*z. Let m(k) be the second derivative of -k**5\/20 + k**3\/6 - 2*k. Let s be m(-1). Solve s = -5*o - 15 - z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76216, 152431, 228646, 304861, 381076?\nAnswer: 457291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -2. Let d(g) = 2*g**2 - 3*g + 5. Let k be d(2). Suppose 0 = 2*x - 3*x + 2*s - k, 11 = -5*x - 2*s. Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12403 (base 6) to base 3.\nAnswer: 2120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 45 = 25. Let i = -72 + 86. What is the highest common divisor of p and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -89 and -5.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 22797*b - 22797*b - 4*b**2 + 2*b**2.\nAnswer: -2*b**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n - 19*n + 3 = -5*f, 84 = 50*n - 38*n - 4*f for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (22 + -20)*(-1)\/(-2). Let k(s) = 5*s**3 + 10*s**2 - 2*s - 6. Let n(q) = -q**3 - q**2 + q. Let x(w) = z*k(w) + 6*n(w). Determine x(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*s + 4487 - 5280 - 151*s as m + g*s and give m.\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5*b**2 + 1 + 3*b**2 - 21*b + 4.\nAnswer: 8*b**2 - 21*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -891552 by 6.\nAnswer: -148592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/4 + 19\/12. What is the nearest to 1 in d, 0.1, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 203, 344, 525, 752?\nAnswer: 1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 32314*p**2 - 32314*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - (2 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4470627 is divided by 291?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2. Let q(w) be the third derivative of w**4\/12 - 11*w**3\/6 - 73*w**2. Give q(b(r)).\nAnswer: 8*r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -3*x**8\/28 + 2*x**7\/21 + 1441*x**4\/12 - x**2\/2 + 1718*x. What is the third derivative of a(y) wrt y?\nAnswer: -720*y**3 + 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + 64. Let t = v + -78. Let f = -48 + t. Which is the third smallest value? (a) 2\/7 (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 5*k**3 - 3*k**3)*(-k + 2*k - 2*k) + 2 - k**4 - 2 + 4*k**4 - k**2 + 5*k**4 + 10*k**4.\nAnswer: 17*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**5\/20 + m**4\/6 - m**2 + 35*m - 7. Let f(b) = -6*b**3 + 9*b**2 + b - 11. Calculate 2*f(u) - 11*z(u).\nAnswer: -u**3 - 4*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -9. Which is the biggest value? (a) 1 (b) q (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*b*c**2*x + 36216*b*x**3 - 32*b*x + 7*c**2*x**3 - 12*c**2*x**2 wrt x.\nAnswer: 217296*b + 42*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from {g: 1, l: 2, e: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1113099.\nAnswer: 3, 13, 28541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (84\/4)\/(3\/2). Let k be (5 + -6)\/((-2)\/u). Suppose -k*d + 423 = -4*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1318 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4 + 92032*z**3 - 2115446055*z**2 - 93262030956*z + 95377384980 = 0. Calculate z.\nAnswer: -45, 1, 46038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzlllbnnj. What is prob of sequence jzn?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 59*i**2 - 449*i - 7. Let l be o(-50). Let h = 2\/123 + 365\/246. Which is the third biggest value? (a) -5 (b) l (c) 0.5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(10\/12)\/5. Let g = -1150 - -1150. Which is the second biggest value? (a) -2\/25 (b) g (c) s (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 39476614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**7\/280 + f**4\/24 + f**3\/6 - 2*f**2. Let d(s) be the first derivative of r(s). What is the first derivative of d(y) wrt y?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p - 43*p = 60 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (570\/(-60))\/((-57)\/60) - 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-25)\/5)*(-8)\/2*(-1)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6346.051 centuries to millennia.\nAnswer: 634.6051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 403 and 0.86.\nAnswer: 403.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 16*r + 120 = 0. Suppose 4*q - r = -8. Sort -3, 2, -11, q in decreasing order.\nAnswer: q, 2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -620*f + 2. Let x be k(-4). Let g = x + -9827\/4. Let p = -2449\/3 + 826. What is the common denominator of g and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4207365248387 less than 31?\nAnswer: -4207365248356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 303290, 303304, 303328, 303368, 303430, 303520?\n\"Answer: y**3 - y**2 + 10*y + 303280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 10944738?\nAnswer: 43778952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 722\/9 - 80. Let d be 1158\/(-8)*(-4)\/(-12). Let q = 48 + d. Which is the nearest to q? (a) h (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -3*s - 5*w, -2*s - 6*w = -2*w - 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -5\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5344.073 + -5358. Round z to one decimal place.\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -10020?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q - 10*q - 121702396 + q - 2*q + 3*q + 121702396 - 6*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 726196 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.200435 kilograms?\nAnswer: 8200435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:51 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d\/(d**(-2\/11)*d)*d*d**(4\/3))\/(d**1)**(-7) assuming d is positive.\nAnswer: d**(413\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.4 + 18.17. Let k = 93.73 - 93. Let r = z + k. Sort 3, r, -9 in ascending order.\nAnswer: -9, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 6:14 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 42*r**3 + 8*r**2 - 3*r + 8. Let j be s(8). Round j to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193 + -189. Suppose -3*i + 62 = w*o, 8*i + 50 = 4*o + 5*i. Put 1\/3, o, 3 in descending order.\nAnswer: o, 3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/154 and -101\/70?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*((-3042)\/1859 + (-36648)\/(-22275)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 2*w**6\/3 - 5*w**4\/12 - 9*w - 20. Let t(c) be the first derivative of k(c). Find the third derivative of t(z) wrt z.\nAnswer: 480*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 252.117 times -0.04\nAnswer: -10.08468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/117)\/(((-2)\/(-108))\/(23\/(-46))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2487\nAnswer: -2\/2487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2250 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2)\/n)\/n**(3\/7))\/(n\/((n\/n**(-5))\/n)*n\/n**(-3\/4))*n\/(n**(-3)\/n*n)*n**(-5\/3)*(n**(-3\/4)*n)\/(n\/n**(-1\/19)*n) assuming n is positive.\nAnswer: n**(340\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -49. Calculate the common denominator of 200\/d*(-12)\/10 and -53\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q + 4*j + 129 = 45*q, 0*q + 143 = q - 4*j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5272 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 26083379.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 595*t - 4*t**3 + 2*t**2 + 4 + 4*t**2.\nAnswer: -4*t**3 + 4*t**2 - 595*t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 - -33. What is the remainder when i is divided by (-1078)\/(-49) - (7\/(-14) - (-45)\/6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042391 is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 21, -2 in decreasing order.\nAnswer: 21, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c - 1. Let h be y(1). Let d = 48 - h. What is the highest common factor of d and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Suppose -3*f + 12 = -r*f. Suppose 114 + 30 = f*z. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*241906.\nAnswer: -1451436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2013 (base 4) to base 2.\nAnswer: 10000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1465051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -13*k**2. Let q(r) = 3172*r. Give u(q(w)).\nAnswer: -130800592*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20272 and 1739591?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 147 - 143 = -r, -3*r = -3*d - 825. Suppose -5*s = -2*s - r. Suppose -s = c - 6*c. Calculate the greatest common divisor of c and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 263*a - 236. What is the hundreds digit of o(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114520 is divided by 146?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 13 = 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 9*z**2 + 9*z + 3. Let u be n(-8). Let f = -4 - u. Let h = f - -2. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 68, -9, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2682 - 18112 = 569*g + 11313 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127183, 127218, 127275, 127354, 127455?\nAnswer: 127578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1034 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -317483 by 127.\nAnswer: -317483\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 579 divide 23036673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 4542?\nAnswer: 4547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 5. Let b be l(4). Suppose -9 - 11 = -10*s. Suppose s*a - 5*d = b, -3*a + 0*d + 3*d = -27. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*g + 31*g - 2*w - 8, -3*w + 9 = 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 120099350 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + -7 - (45 + -174 - -116).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2ea091 (base 15) to base 12\nAnswer: -91080a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 4*p + 6*p)*(p + 2*p**2 - 22 - 26 + 13).\nAnswer: 10*p**3 + 5*p**2 - 175*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 9*z = 6 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.64 - 0.04. Let o = -1.56 - 1.44. Which is the third biggest value? (a) 0.4 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b7141 + 2?\nAnswer: 3b7143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1010 + 6*y + 2*y - 7*y**2 - 11*y - 1015 in the form m*y**2 + q*y + n and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 346, 1\/4, -18416, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125845027\/7956 + 268826\/17. Let l = -196\/39 - j. What is the common denominator of l and 77\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43956.7 * -0.05.\nAnswer: -2197.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -1)*6\/48*12. Let n be 247\/312 - 2\/q. Are n and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102746 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 678 - 703 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-25)\/j*j**(2\/65)*j*j*j**16\/j**15)**36 assuming j is positive.\nAnswer: j**(-53748\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.21895 and 656.\nAnswer: 655.78105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1959\/5? (a) -1 (b) 231 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.227 - -9.227. Let s = j - 14. Sort -1\/2, s, -3\/5.\nAnswer: s, -3\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 17*i**2 - 17*i + 36. Let s be j(16). Solve 0 - s = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26.78 + 27. Let a = i + 0.1. Let p = a - -0.08. Is 1 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.045 + 0.0186\nAnswer: 0.0636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9426, 18871, 28340, 37833, 47350, 56891, 66456?\n\"Answer: 12*h**2 + 9409*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3708704 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 6*y**2 + 3*y - 4. Let b = 164 - 158. Calculate the remainder when x(-4) is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, -0.03, 73, 7, 9\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223142067 is divided by 16701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-91 - 2 - (-11 + 2 + -3 - -20))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 - 42*z**2 - 8*z. Let t(b) = -b**3 + 17*b**2 + 3*b. Let u(g) = 5*n(g) + 12*t(g). Solve u(q) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000111001 + 1001001110?\nAnswer: 1010010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and (-74)\/(-2) - 6\/(-6)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Let j(z) be the first derivative of -z**3\/3 + z - 5549. Let l be 22\/26 + (2 - 24\/13). Let w(a) = -2*a**2 - 2. Calculate l*j(u) + t*w(u).\nAnswer: -3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 875995.\nAnswer: 5, 19, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t + 9. Let g(p) = 6*p - 8. Let m be (-9)\/((-55)\/(-10) + -4) - -4. Let c be -10 + m + 2 - -5. Give c*i(x) - 6*g(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.31, 233?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**5\/20 - t**4\/12 - t**3\/2 + 3*t**2\/2 - 13*t. Let s be a(-4). Calculate the highest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -10. Let w(f) = u - 4 + f**2 + 5 - 2*f**2. Calculate w(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:04 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6586 is divided by 642?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 29 - (-53 + (5 - 34) + 105).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -807258\/181 + 4460. Suppose -66*j + 36 = -62*j. Suppose 5*y = -2*v - 6 - j, 4*v = -3*y - 23. What is the second smallest value in 2, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9131)\/397*(3 + -2)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b = 2, 2*b + 7 = k. Solve -z = 2*z - k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2\/9*z**4 + 0 + 14\/9*z**2 + 2\/3*z + 10\/9*z**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.60111789 + 102.39896811. Let m = 0.162 + 102.838. Let v = m - b. Round v to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**3 - 1078*a**2 - 1 + 2*a - 2*a**3 - a**3 - a + 0*a in the form d*a**3 + i + j*a + v*a**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Product of 217 and 1.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 9 = -2*m. Find the second derivative of 4*y**4 - 8*y + m*y - 6*y wrt y.\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -30*j**2 + 54*j**2 - 26*j**2. Let h(d) = 8*d + 4. Let t = 15 - 0. Let b(u) = 33*u + 15. Let o(c) = t*h(c) - 4*b(c). What is o(x(q))?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/22 - 291\/6138. Let s = 4\/27 - 151\/837. Let n = q - s. What is the smallest value in -4\/9, 2\/7, n?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-258)\/12 - (-18)\/48*4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**4 - m**3 + m**2 + m + 1. Let y(z) = 14*z**5 - 49*z**4 + 51*z**3 - 23*z**2 + 7*z + 3. Let f(n) = -6*o(n) + 2*y(n). Solve f(s) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13910\/7? (a) -3 (b) -1 (c) -4 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.43125? (a) 0.3 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 5*z**2 - 3*z - 12. Let x be p(-5). Suppose -35 = n + 4*n + a, -2*a = 2*n + 22. Is (7*-3)\/(x\/n) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -6 - (33 + -30 + 59)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 7*j**2 - 10*j - 8. Suppose -115*c + 30 = -120*c. What is k(c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1020\/90 - 1\/3. Let n(w) = w**3 + 5*w**2 - 13*w + 24. Is n(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14458 divided by -548?\nAnswer: -7229\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 2*s**2 + s**2)*(-s**2 + s**2 + 2*s**2) + (8*s - 19*s + 2*s)*(3*s - 4*s - s)*(-2 + 2 - 18*s**2).\nAnswer: -326*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**7\/105 + y**5\/12 - y**2 - 1. Let u(k) be the second derivative of t(k). What is the third derivative of u(q) wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 3074481\nAnswer: -1\/3074481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -22*u**2 - 68*u - 4. Let b be j(-3). Sort 166, 0, 0.4, b.\nAnswer: 0, 0.4, b, 166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6938 - 5.5568. Let l = 0.867 - m. Round l to 1 dp.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6451203\/7 or 921601?\nAnswer: 6451203\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 4 (b) -2\/33 (c) -2\/7 (d) 13 (e) 162\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-30))\/(52\/130).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 19*u**2 + 14*u - 201. Give h(21).\nAnswer: -789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 642694.\nAnswer: 9\/642694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 6*u + 11. Let r be k(-11). Let q = r - -221\/5. Which is the closest to 2? (a) -3 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-10)\/2*(1944\/45)\/8\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001100011110010010010 (base 2) to base 5.\nAnswer: -1120141444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*g**3 - 15*g**3 - 12*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.007 - 0.024. Let v = 0.017 + g. What is the fourth biggest value in 0.3, v, -5, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 18*b**2 - 12*b + 23. Let f(p) = -p**2 + 48*p - 472. Let o be f(35). Give x(o).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, a: 1, l: 3, n: 3, z: 1, q: 3}. What is prob of sequence qz?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-9)*6*1. Suppose p*o - 7 - 25 = -4*c, 4*c - 52 = -3*o. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, r: 4}. Give prob of picking 4 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r. Let z(q) = -1 - 629*q + 1263*q - 634*q - 20*q**2 + 5. Determine c(z(m)).\nAnswer: -260*m**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 4:03 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/8 and 93\/76516?\nAnswer: 153032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2. Suppose 4*o - 28 = 7*a - 9*a, -3*a + 3*o + 69 = 0. Let b(c) = -1. Let w(s) = 16*s + 20. Let u(p) = a*b(p) + w(p). Calculate z(u(r)).\nAnswer: 512*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 f, 1 r, and 1 n when four letters picked without replacement from dfnhfdffrnd?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002599 rounded to seven dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4642, -1\/4, -4, 9, 1\/26, 0.03?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -59.8?\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 663 and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.9 - -18.94. What is the second biggest value in 2\/11, 1\/6, i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244441 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 2:12 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 + 4*s**2 + 2*s + 5. Let k(w) = -1. Let o(t) = -f(t) + 4*k(t). Let l(y) = 2*y**3 - 3*y**2 - 2*y - 8. Let j(v) = 6*l(v) - 5*o(v). Give j(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46996 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73510 is divided by 1137.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4011 and 4683.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 374 and 170.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 12) to base 2.\nAnswer: -100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 26872000 - 103128002 = -c, 3*s + 3*c = -77999994. What is s rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*s + 17 = 0, -4*l = l - 5*s + 35. Suppose -4*f = 3 + 5. Let j be f\/(-4)*0 + l. Which is smaller: -3 or j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or 161384\/2681?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s - 360 = -11*s + 8*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*x + 15. Suppose x*h = -h - 12. What are the prime factors of 6\/5*(-10)\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1296\/(-108) - (-1 - 1398). Are u and 1384 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v)**15\/(v*v**(-1\/5))**(2\/29) assuming v is positive.\nAnswer: v**(-4358\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 100 divided by 2\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0.746323566565.\nAnswer: -2.253676433435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18, 3, -3 in decreasing order.\nAnswer: 18, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2915 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 34176 (base 9) to base 13\nAnswer: a47c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/4, -2, 0.5 in decreasing order.\nAnswer: 0.5, 1\/4, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t**4\/t*t)*t)\/t)**(-49)*(t*t**(-3\/4)*t)\/(t\/(((t\/t**(-4))\/t)\/t)) assuming t is positive.\nAnswer: t**(405\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44002783 rounded to 3 dps?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8638613015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 348.3397 decades?\nAnswer: 34.83397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1459 + 119 = 0. Suppose -5*p + 4*r + 185 = 0, -2*p + 2*r - 36 = -106. What is the remainder when q is divided by p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/324*(-36)\/3\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 202?\nAnswer: -7\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 19*k**2 + 13*k + 95. Let u be f(18). Suppose p + 5*q = 0, 3*p + u*q = -31 + 1. Is p equal to -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**2\/2 + 3*b + 5. Let k be f(0). Suppose -5*q = -j + 17, k*j - 4 = 5*q + 7. Which is greater: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-336)\/(-576) + 3\/(-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376263 is divided by 284.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(-6*sqrt(72)).\nAnswer: -sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - 10*z - 12*z + 31*z - 6*z in the form f*z + d and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 + -6 + (1 - 7). Let i = -7 + 5. Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3 + 5*q**3 - 2*q**3 - 4*q**3 + 39*q**2 - 35*q**2. What is a(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1633.064 litres to millilitres.\nAnswer: 1633064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49211*c - 49207*c = 2*p - 34, 2*p - 3*c = 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 1:52 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3730 divided by -5\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*z**2 + 360*z**2 + 37*z**2.\nAnswer: 679*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2025074, 8100309, 18225700, 32401247, 50626950?\nAnswer: 72902809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 8. Suppose 5*l - s - 21 = 0. 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: Work out -0.5 - -0.16712.\nAnswer: -0.33288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.05298 and -1.5.\nAnswer: 4.57947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 38 = -3*h. Let w be (-4)\/(-6)*(-6)\/h. Let g be (2\/(-12))\/((-4)\/18). What is the closest to 0 in g, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -4. Let n be ((-11)\/(418\/(-57)))\/(1\/2). Sort 2, 0, n, r in decreasing order.\nAnswer: n, 2, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -386698 in decreasing order.\nAnswer: 5, 0, -386698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {y: 2, u: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/4 (b) 1 (c) 0 (d) 0.2 (e) -0.27778 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 0.205, 5?\nAnswer: 0.205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3175126 >= 3175126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p = 112*p - 628*p - 3451 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/2288 and 103\/1397440.\nAnswer: 18166720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 15739169*n - 15739171*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*f + 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7298 + -1920. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -10*o - 92. Let k(i) = 2*i - 2. Determine 6*k(v) + p(v).\nAnswer: 2*v - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 1. Let b = -4 - -3. Let q be (-1 - 1) + 8 + b. Solve r - 3*r = q*c + j, 0 = -r - 5*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, 16, 5.\nAnswer: 0.4, 1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 33 - (15 + 4 + -6 + 1)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/3 - o**2\/3 + 17*o\/3 - 5 = 0. Calculate o.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126440.2 weeks to microseconds.\nAnswer: 76471032960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226833888?\nAnswer: 2, 7, 5476937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 4*b + 6. Let l be j(5). Suppose -4*q + 64 = 4*p, -4*p - l + 14 = q. What is the remainder when 13\/(-65) - (-332)\/10 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-40)\/14)\/((-4)\/(-14)). Let c be (r\/32)\/((-2)\/8). What is the nearest to 2 in c, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 2675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8*q + 1. Let p = -14 - -16. Let d be r(p). Suppose 6*t - d = 5*t. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-48)*(2 + (-1)\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 278.4 + 3.6. Let i = m + -281.99999992. Round i to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3150985 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 2*p + 13 + p)*(3*p - 2*p + 0*p)*(4 - p - 4).\nAnswer: -3*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + 3 + 48 + -49\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = -3*o + 8, 11 = 4*o - y. Solve -11 - 1 = o*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/11279 - -755513\/507555. Find the common denominator of ((-2)\/(-220))\/(2\/228) and f.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1471026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1057 and 302?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -504\/53?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**2 + 4*i + 9. Suppose -f = -4 - 0. Let v(s) be the third derivative of -s**5\/20 + s**4\/12 + 5*s**3\/6 + 2*s**2 - 1112. Give f*a(n) - 7*v(n).\nAnswer: n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + ((0 + sqrt(432) - sqrt(432)) + -5 - sqrt(432)) + 1*sqrt(432)*4*4 + -3.\nAnswer: -9 + 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50949 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/1*(-15)\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/2 + 9*y**3\/2 + 15*y**2\/2 - 53*y\/2 + 15.\nAnswer: -(y - 10)*(y - 1)**2*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g. Let m(f) = -48*f + 3. Calculate -2*h(o) - m(o).\nAnswer: 44*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(792)*-3*-4)\/((sqrt(528)\/(sqrt(48)\/sqrt(4)) + sqrt(44))\/(sqrt(4) + sqrt(12)\/sqrt(3)*-6)).\nAnswer: 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 252*q**3 + 116*q**3 + 20*q + 269*q**3 - 97*q**3 + 3*q**2 + 19*q**3 wrt q.\nAnswer: 3354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12120 (base 3) in base 13?\nAnswer: -b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10110100110100010 (base 2) to base 16\nAnswer: 169a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 333 - 294. Let q be -2*(s\/(-21) + -2). Do q and 8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513*h - 20 = -518*h. Let k be ((-901)\/85 + 12)*h\/42. Factor -2\/15*d + k*d**3 + 4\/15*d**2 - 4\/15.\nAnswer: 2*(d - 1)*(d + 1)*(d + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = a - 11*a. What is the first derivative of -4*w**2 - 2*w**4 + 6 - 2*w**2 + 6*w**a wrt w?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 999825187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/2 + 121*x**3 + 39427*x**2\/2 + 39062*x + 19470 = 0 for x.\nAnswer: -110, -1, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (226\/565*(-45)\/(-12))\/((-7)\/(-6))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 2}. Give prob of sequence ii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 58 in ascending order.\nAnswer: -7, -2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8600\/1161)\/(-50))\/(268\/18)?\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(4\/11)*u**(-13)*(u\/(u*u*u**(2\/5)))**(-35) assuming u is positive.\nAnswer: u**(400\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16, -0.23, -3, -2 in decreasing order.\nAnswer: -1\/16, -0.23, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 2*h**2 - 158*h + 162*h.\nAnswer: -4*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -7143.\nAnswer: -5\/2381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 8, a: 3, o: 2, p: 1, h: 1}. Give prob of picking 2 d.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 10711421 + 51751421 = 0. What is t rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 72 = -q, -4*q = 3*l - 6*l + 72. What is the least common multiple of l and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from vxfxffxxxfvixfxxxxff.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-3 - -5)) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + ((-5)\/3 - 155\/(-15)). Let g = w - 149\/6. What is the common denominator of 131\/6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11843 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -122*i - 108 + 753 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 211*h*m**2*x + 10*h*m**2 - h*x - 1289*m**2*x + 2*m**2 + 2*m*x - 4*x wrt h?\nAnswer: 211*m**2*x + 10*m**2 - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2\/9, -2\/19, -4, -68, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -2. Suppose 2*d = -w*i + 50, 3*i - 47 = -2*d - 0*i. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 4290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26744484 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = u - 2*u - 63, 2*y = u + 33. Let o = y + 8. What is the remainder when o is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1222)\/(-1833)*(-9)\/17.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 4*u - 2. Let z be d(-2). Let g = -58 + 54. Let i be z*(2\/g - 2). Let b(c) = c**3 + 4*c**2 - 7*c - 6. Determine b(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(4)\/(sqrt(2) - sqrt(8)*5) + ((sqrt(1250)*1)**2 - sqrt(50)) + 3).\nAnswer: -184*sqrt(2)\/9 + 5012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/8*22*(-17)\/(-51).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3\/10)*u)\/u**23 assuming u is positive.\nAnswer: u**(-207\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 124?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*v + 1 = -4, 1 = v. Suppose p = -2*p + 18. Solve p = 2*i - q*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -13. Let h be ((-40)\/(-4) - 2)*z. What is the remainder when 12\/3*(-402)\/h is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -142 - -145. Solve -5*m = f - 2, -m - l*m + 2*f - 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1689260 and 4384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**10\/15120 - c**8\/560 + 2*c**7\/315 - c**6\/120 - 3*c**4 - 50*c. Let j(m) be the third derivative of h(m). Factor j(x).\nAnswer: 2*x*(x - 1)**3*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59601 = -1786*c - 120027 + 8172 for c.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(704) - (sqrt(704) + -4))**2 - sqrt(11)) + -2.\nAnswer: -98 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 13. Calculate the remainder when (b + -1)*-1 + 9 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2946788548?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20.5 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - ((-4 - -17) + 1)) + -5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*q + 28 = 0, 0 = -10*p + 8*p - 5*q - 7. Sort 5, -22, 0.1, p.\nAnswer: -22, 0.1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p - 140 = -18*p. Let j be -6 - ((-21)\/12 + (p - -5)). Suppose j*c**2 - 9\/8*c + 3\/8*c**5 + 3\/4*c**3 + 3\/8 - 9\/8*c**4 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**2 - 285*v + 3498 = 0.\nAnswer: -106, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41010412 + -20400?\nAnswer: -41031312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 v when three letters picked without replacement from {d: 4, v: 2, j: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 - 151. Let m(c) = 2*c**2 - 3*c + 2. Let b(t) = -6*t**2 + 8*t - 4. Let r(g) = v*m(g) + 3*b(g). Determine r(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 11:23 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 19*q + 1672 = 0. Suppose -308 = 5*u - q. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*t - 653*t = 1578. Let x(k) = -3 + 3 - 1 + 8*k**2. Let n(u) = -17*u**2 + 3. Give t*n(a) - 7*x(a).\nAnswer: -5*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**2 - 2*z + 2*z)*(-7 + 3 + 18) - 2*z**2 + z**2 - 5*z**2 as p*z**2 + q + j*z and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 2*o**3\/3 - o**2 - o + 21. Calculate p(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*a + 3*n = 36*a + 2, 3*a - 3 = -3*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61824 divided by -112?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 200, -377.\nAnswer: -377, 3, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 + 74. What are the prime factors of 4 + (-508)\/b + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-13\/4)*q**7 assuming q is positive.\nAnswer: q**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from zssagyajags.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*(-1 + 2 + (48\/(-8))\/2 + 1).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28\/15 + 463\/240. Is p less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -1)*(-2)\/(-4). Let b(w) = w**2 + 1. What is the smallest common multiple of b(z) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 2*y**3\/3 + y. Let l(g) be the first derivative of g**2 + 39. What is j(l(i))?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2. Let p(h) = -2*h**2 + 1303*h + 92. Determine p(v(b)).\nAnswer: -2*b**4 + 1303*b**2 + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4556 + -63?\nAnswer: 4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2 - 327844*d + 7539354 = 0. Calculate d.\nAnswer: 23, 163899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + h + 1. Suppose -5*d - 8 = -3*q + 12, -5*q + 54 = 2*d. Suppose 0 = -m + 5 - q. Let t(a) = a**3 - 3*a**2 + 5*a + 5. What is m*o(i) + t(i)?\nAnswer: i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20713 - -33389. List the prime factors of w.\nAnswer: 2, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7225 + -3568?\nAnswer: -3567.2775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-19)*27*44\/(-7128)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v - 61*v = -102*v + 46*v - 2385 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 181523743 by -1.\nAnswer: -181523743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 396*s + 392*s - 1179*s + 619*s**2 + 394*s to l*s**2 + x + m*s and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8990359 and 46277.\nAnswer: 4207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*n**2 + 2*h**2*n - 102*h*n**2 + 256*h*n + 2*n**2 wrt n?\nAnswer: -4*h**2 - 204*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i + 56. Suppose -3*c + u = -i, 4*c + 2*u = 2 + 20. Let n be 1\/5*(-15)\/c. What is the second smallest value in 1, -1\/2, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1453701439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Is 16\/7 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*h - 17, -3*u - 2*h - 6 = -u. Let d = 70 + -67. Solve 0 = -d*m + m + u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*z + 12*z + 612 = 12*z + 92*z. Determine i so that -26*i**z + 24*i**3 - 1\/2*i**4 + 0 - 8*i - 2*i**5 = 0.\nAnswer: -4, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1269, -10197, -34435, -81639, -159465, -275569, -437607?\nAnswer: -653235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 118. Give a(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32845 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432 (base 12) to base 2.\nAnswer: 1001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(72*(-2)\/(-8) + 1).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 15 = 0, -2*t - 147*u + 15 = -144*u. Let i(a) = 6*a**2 + 1. What is the remainder when i(2) is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82779?\nAnswer: 3, 41, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.262*67.8\nAnswer: -17.7636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -513\nAnswer: -1\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. What is the remainder when 2 - -22 - (5 - b) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 610 divide 17564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f + 60. Let y = f + -10. Let v(c) = -c**2 + 4*c + 6*c**2 - c**2 - 3*c**y + 1. Calculate v(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 - -2) + (-151156)\/78568 and -81\/38.\nAnswer: 16226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68466 and 11411.\nAnswer: 68466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 6*i**2 + 2*i + 6. Let v be p(6). Let t = 37 + v. What is the greatest common factor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/14)\/((-30)\/(-210))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z**2 + z. Let b be 1 - 0 - (-2 + -2)\/(-1). Let h be w(b). Let l = h + 79. What is the remainder when 19 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*o + 7. Let m = -21 - -46. What is the greatest common factor of o and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x + 1406 - 2809 + 1403 - 22*x - 54*x + 88*x.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.42 from 25.\nAnswer: 22.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125432291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 209 + -275. Which is greater: -68 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 648 + 430. List the prime factors of w.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 37.4.\nAnswer: 1.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**4 + 0*i**4 + 2*i**4)*(-27 + 136 - 2).\nAnswer: -107*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 127 + 5*n**3 + 8*n**3 + 63.\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*n - 35*n**3 - 268*n + 342*n.\nAnswer: -35*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5*m - 176 = 0, -5*m - 905 + 861 = -n for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 5, -4, 0.4, 0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -104*r + 684. Is q(-15) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/20 and 103\/12618606.\nAnswer: 126186060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6.03, -7\/6, 5, -0.1 in increasing order.\nAnswer: -7\/6, -0.1, 3, 5, 6.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*a - 25 = 0, -2*r + 16 + 15 = 3*a. Which is greater: r or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) -12 (c) 16 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-160) - (2 - (-17)\/(-4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2122\/(-10))\/((2 - (-549)\/(-270))*2) is divided by 792.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w + w**2)*(4*w**3 + w**3 - 3*w**3) + (-2*w**2 + 0*w**2 - 3*w**2)*(-w**3 + 2*w**3 + 0*w**3).\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -462333200 to the nearest 1000000.\nAnswer: -462000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4.6*-0.448\nAnswer: -2.0608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -1803, -4054, -7195, -11220, -16123, -21898, -28539?\nAnswer: -36040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 36*y**2 + 5*y - 3. Let v be o(-4). Suppose 0 = 2*t + v + 15. What is the units digit of t\/(-8) + (-3)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12003163479 take away 24.2?\nAnswer: 12003163454.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhq when three letters picked without replacement from rhdqrqrhqrhhh?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggfgergeffe. Give prob of picking 1 e and 1 g.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 24 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*v + 4 = 7, 5*g + 7 = -2*v. Which is greater: -2\/505 or g?\nAnswer: -2\/505","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = k + k - 16, 0 = -2*k + 3*z + 12. What is the remainder when 10 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + 0 + sqrt(13))*2)**2 + ((sqrt(156) - -2*sqrt(156))*4)\/(-2*sqrt(108)).\nAnswer: 14*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**3 - 130476*c**2 - 45042336*c - 3908147184 = 0 for c.\nAnswer: -32271, -174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*d*r**3*v**3 + 2800*d*r**3*v - 167*d*r**2*v**3 + 3*r**3*v**2 + 12*r**3*v wrt v?\nAnswer: 366*d*r**3 - 1002*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.32 + 4.68. Which is the nearest to 2\/3? (a) -3 (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 4*f - 83*f as g*f + p and give g.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/12927 (b) -0.061 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 12 = -4*o + 6*x, -2*x = -o. Let w(g) = -2*g**2 + 3*g - 3. Let s(f) = 5*f**2 - 8*f + 8. What is o*w(m) - 3*s(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 20*i**2 + 70*i + 72. What is the remainder when 3781 is divided by n(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*b - 262, -218*b = s - 222*b - 46. What is the highest common divisor of 64314 and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -12) + (-63 - -49) + (-2 - 19).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, -40, 21 in ascending order.\nAnswer: -112, -40, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 14 = -2*i + 4, 2*m + 22 = 3*i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(1 - 3)*4. Suppose 4*t + 1 = 9, 5*n + 3*t = 16. Suppose j*p = n + 18. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i = -3*q - 26, 0 = q + 2. Is 38 a factor of i\/7 - -1 - (-7215)\/105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 6:55 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1275522 is divided by 6479.\nAnswer: 5638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6290.1585 microseconds in hours?\nAnswer: 0.00000174726625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 10\/3*h**3 + 0*h**5 + 2*h + 0*h**2 + 170 - 214\/7*h**7 + 0*h**4 + 0*h**6. Find the third derivative of v(q) wrt q.\nAnswer: -25680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from zmzmzmzzzzmzmmmjmmmm.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**12)\/g)**(-2\/179)*(g\/(g\/g**5))**(-1\/6))**(1\/56) assuming g is positive.\nAnswer: g**(-1051\/60144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 3*r + 140. Let x be 2\/r - (3 - (-3120)\/(-35)). Are x and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m + 23*m - 8*m + 8*m**3 + 37*m**3 - 37*m.\nAnswer: 45*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*s + 15, -p - 2*p = 3*s. Suppose -s*h + 32 = 3*h. Let u be (15\/(-5))\/3 + h. Solve -2*f - u*k = 9, 0*f - 3*f = -3*k - 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.67 - -33.33. Let n = 30 - p. Which is the smallest value? (a) -1\/5 (b) -0.5 (c) 0.1 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.48 - 3.52. Which is the closest to 2? (a) -0.4 (b) 2\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 12 - 3*z**3 - 9.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 0.3, -1\/40, -11794, -2\/5?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8814.\nAnswer: 2, 3, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/5 + 203*t**2\/5 + 10403*t\/5 + 10201\/5.\nAnswer: (t + 1)*(t + 101)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -27\/10 (c) -4 (d) 4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27667, 55339, 83013, 110689?\nAnswer: 138367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5 = 0, v + 4*u - 4 = -17. Suppose 19*j + 50 + v = 0. Which is the smallest value? (a) -0.6 (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220134 - -4?\nAnswer: 220143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -232400 divided by -56\nAnswer: 4150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 563989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 720576, 720575, 720574, 720573?\n\"Answer: -s + 720577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 23*i**2 - 6*i + 144. Calculate the smallest common multiple of r(23) and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**5\/5 + 38*i**4\/5 - 234*i**3 + 5258*i**2\/5 - 1778*i\/5 - 2352\/5 = 0. Calculate i.\nAnswer: -24, -1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/((sqrt(162)\/sqrt(3))\/sqrt(9)))\/((sqrt(120) + 6*-1*sqrt(120))\/sqrt(10)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 14*w = 26. Which is smaller: w or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 - -46. Let o = x - -42.08. Let t = -0.08 + o. Is t < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 19. Suppose -4*v - 2*m + 22 = d, m = -4*v + 18. Suppose -4*t - v - 10 = -5*k, -2*k = -3*t. Calculate the greatest common divisor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 183 + -180. Suppose 12 = -i*j, 3*k = k + j + 490. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -543.33, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1027 and 10599667.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**4 + 33*b**3 + 126*b**2 + 192*b + 96 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 894772860 a multiple of 8290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 4*p = 24, -15*v - 18 = -17*v + 5*p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*f - 9. Let m be (45\/(-30))\/((-3)\/4). Suppose -2*r - f = 2*i, -2*r + 0*r + m = 4*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 102, 152, 202, 252, 302?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z - 30*z = -4*f + 1, 4*f = 0. Sort 6, -5, -1, z in increasing order.\nAnswer: -5, -1, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(15) - sqrt(960)*-1) + (sqrt(90) - (sqrt(90)*2 + sqrt(90)))\/sqrt(6))\/(-2*(sqrt(3) - -2*sqrt(3)) + sqrt(9)\/(sqrt(12)\/sqrt(4))).\nAnswer: -7*sqrt(5)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13865 by 1.\nAnswer: 13865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 divided by 276005.\nAnswer: -87\/276005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, o: 1, k: 3}. What is prob of sequence kkk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53202400 (base 7) to base 5.\nAnswer: -2123131113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 15*b + 21. Is q(-16) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8890 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = j - 2, -1202*j = 4*a - 1200*j - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**0)\/z)**(-45)\/((z*z**7)\/(z*z\/z**5)) assuming z is positive.\nAnswer: z**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0 - 0)*(-27)\/(-18). Let h be ((-2)\/(-5))\/(k\/(-5)). What is the third smallest value in -3, h, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/4))**49)**(3\/4))**(-18) assuming c is positive.\nAnswer: c**(1323\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 3, v: 1, j: 1, c: 1}. Give prob of sequence jc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -42. Do p and 0.27 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.463 times 1.7\nAnswer: 2.4871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 3*v + 5*f - 237, -v - 48 = f. Let s = v - -101. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d**3)*d)\/((d*d**(-3))\/d)*d**(-4)*d*d**(-1\/9))\/((d**(-2))**(1\/37)\/(d\/d**(-1\/10)*d**2)) assuming d is positive.\nAnswer: d**(143\/3330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + x + 4*x + (-4*x + 0*x + 6*x)*(1 - 1 + 3) + (7 + 2 - 5)*(-7*x + 2*x + 3*x)*(0 + 0 - 2).\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2 - 297 - 2*b + 152 + 3*b + 147. Let u(l) be the second derivative of -3*l**4\/4 - l**3\/2 - 2*l**2 + 23*l. Calculate -5*i(x) - 2*u(x).\nAnswer: -2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -87959, -87687, -87415, -87143, -86871, -86599?\n\"Answer: 272*j - 88231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7602 = -559*z - 340*z - 17996 + 58940 for z.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 427.5 + -427.5003692. What is d rounded to six dps?\nAnswer: -0.000369","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -489*k**3*l**5 - 2*k**3*l + 1756*k**2 - 46*k*l**5 - 2*l wrt l.\nAnswer: -9780*k**3*l**3 - 920*k*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 30 = -20. Let d(v) = -9*v - 214. What is the remainder when d(-28) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20938 and 48374?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 23340.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 340 - 247. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 10*y**2 + 5*y - 31. Give d(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/15 + (-44)\/(-10). Let j(l) = 66*l + 5. Let a(c) = -1820*c - 135. Let f(w) = 2*a(w) + 55*j(w). Determine f(m).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14633*(24\/42 + 0 + 9\/21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**5\/60 + 2*c**3 - 38*c**2 + 2. Let r(s) be the first derivative of p(s). Let a(i) = -i**2 + 4. Give a(r(t)).\nAnswer: -4*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:30 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 10*o = -8*o - 16, 4*c + o - 11 = 0. What is the third derivative of -986*j**6 + 901*j**6 + 119*j**c + 1 + 2*j**5 - 2*j**5 wrt j?\nAnswer: -10200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 - 426783*j\/2 - 8534860.\nAnswer: -(j + 40)*(j + 426743)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123657726.\nAnswer: 2, 3, 1447, 14243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 - 55. Factor -6*p + r*p + 8*p - 5*p**2 + p.\nAnswer: -5*p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (1 - 16)) + -91 + 80.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1511*s - 422. What is the tens digit of f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -10. Which is the nearest to -2\/9? (a) d (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 0, 1714442 in increasing order.\nAnswer: -30, 0, 1714442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7218229mg in nanograms?\nAnswer: 721822.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12*g. Let d(v) = 205*v + 11. Calculate -d(u) + 5*p(u).\nAnswer: -145*u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b\/b**(-11\/5))*b*b**15*(b\/((b\/(b*b*b\/(((((b\/(b*b**0)*b*b)\/b)\/b)\/b)\/b)))\/b))\/b**28 assuming b is positive.\nAnswer: b**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 40*u - 2090. Let v be i(52). Let j(b) = -b**3 + 0 - 8*b**2 - 1 + 4. List the prime factors of j(v).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.042 (c) 7863 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10163 is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrtrtkrrbrtkrrb. What is prob of sequence kb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12096*z + 2455500. Calculate n(-203).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29935 - -45916. Suppose 70*r - 73*r = -v. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17497 is divided by 3483?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - -3*(-4 + sqrt(288)) - sqrt(288)) + (1 + sqrt(288))*5 + ((sqrt(288) - -6*(sqrt(288) + 1)) + -4)*-5)**2.\nAnswer: 11016*sqrt(2) + 210241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (sqrt(396) + 1)**2 + sqrt(396) - (sqrt(704) + sqrt(44) + -2 + (sqrt(352)*-2)\/sqrt(8))**2) + -3.\nAnswer: -8 + 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1036 + 1043. Solve 0 = -d + 3*y - k, -6*d + 3*y - 2 = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (37 + -32 + -5 + 1 + 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * -375\nAnswer: -637.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*t**5 + 53*t**4*y - 2*t**2 + 690*y wrt t?\nAnswer: 300*t**2 + 1272*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**2 + 2410*f + 7185 = 0. Calculate f.\nAnswer: -479, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00227512145 rounded to 6 dps?\nAnswer: -0.002275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m**2 + 4*m**2 - 7*m**2)*(3*m + 0*m - m) - 5*m**3 + 0*m**3 + 4*m**3.\nAnswer: -21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4473 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -20*i**3 - 14*i**2 - 11*i + 8. Let s(n) be the first derivative of -7*n**4\/4 - 5*n**3\/3 - 2*n**2 + 3*n + 112. Give -4*c(o) + 11*s(o).\nAnswer: 3*o**3 + o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, -1\/12, -571\/8168 in descending order.\nAnswer: -571\/8168, -1\/12, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**4 - 6*p**2 + 8. Let n(g) = 11*g**4 - 17*g**2 + 24. Let r(x) = -6*n(x) + 17*s(x). What is the derivative of r(t) wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 1054.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 72811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7090711429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.552? (a) -1\/2 (b) 2 (c) 15\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + 1420276?\nAnswer: 1420289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29466 and 2736.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**5\/60 - f**4\/4 - f**3\/6 + f**2. Let j be o(-5). Suppose 56 = 4*z + 4*k, 3 = z - j*k - 11. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3081\/2 + 1539. Let g = 3.82 + 0.18. What is the second smallest value in b, -1.3, g?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 2*u + 111. Suppose 4*h + u*a = 7*a + 3536, 12 = -3*a. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/22 and -113\/342?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4 - 12. Suppose -2*f + 4*o + 2 = 10, -f - 2*o + m = 0. Let p(c) = 12*c**3 - 10*c**2 + 13*c - 1. Is p(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 25. Let d be y\/4 - 0 - 16. Let b = 73 + d. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2511\/14 or 83?\nAnswer: -2511\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -41. Find the first derivative of 119*x**3 + 47 + 9 - 65*x**k wrt x.\nAnswer: 162*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 105*j + 2666. Calculate w(-42).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.13 - 1.794. Let z = m - 0.076. Sort -0.2, z, 0.1.\nAnswer: z, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**3 + 6*s**2 + 17*s + 6. Let q(r) = r**3 - 2*r**2 - 6*r - 2. Suppose -3*o + 44 = -46. Suppose -3*z + 8*z = o. Determine z*a(p) + 17*q(p).\nAnswer: -p**3 + 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6148*i*q**4 + 31392*i*q wrt q.\nAnswer: -73776*i*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -3, -26, -0.6, 4, 7 in decreasing order.\nAnswer: 7, 4, -0.02, -0.6, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/22)*u*u)\/(u*u**(4\/3)) assuming u is positive.\nAnswer: u**(-31\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0.2 (b) 64\/5 (c) 27 (d) 0.01 (e) -2\/7 (f) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1522 - 1527. Is b bigger than 320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 = 30*q - 51 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2419325 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 4651?\nAnswer: 4651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 8:54 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 13*u**2 - 35*u + 25. Let n be f(-12). Which is bigger: n or 599\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 5. Suppose 0*v = -2*v + 10. Calculate t(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**2 + 7*y - 342. Give p(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102021222212 - -2?\nAnswer: 102021222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51, -105, -161, -219, -279, -341?\n\"Answer: -f**2 - 51*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -2, 1\/4, 1, 3.\nAnswer: -2, -1, 1\/4, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32426*u**3 + 2*u + 167801.\nAnswer: 194556*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5*w = 30, 16431*b - 2*w - 8 = 16433*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 0.1. Let d = -2.2 + 2.1. Let i = 6\/25 - 4\/225. Which is the second smallest value? (a) d (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - y - 15733 = 0, 88*m - 93*m + 19662 = 3*y. List the prime factors of m.\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 340 = -57*z + 16*z. Factor -2\/13*s**3 + 0 + 0*s**4 + 0*s + 0*s**2 + 2\/13*s**z.\nAnswer: 2*s**3*(s - 1)*(s + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23973594 is divided by 75?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.7 + -16.7. What is the biggest value in 0, 4, 0.3, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(-9*1\/2).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 s, and 2 v when four letters picked without replacement from {v: 6, s: 1, z: 1, d: 8, k: 4}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12242 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0 + 4 = 0, -155 = -u - q. Suppose u = 29*s - 18*s. Let w be ((-2)\/4)\/(1\/(-6)). Solve 4*v + 3*m = s, 2*v + 0 = -w*m + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14631 is divided by 1966.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-604 - 10*g + 604)*(0 + 0 + 2*g) + (5*g - 5*g + g)*(-232 + 232 - 31*g) + (-4 - 2 + 5)*(5*g**2 - 5*g**2 - 2*g**2) - 2*g**2 + 2 - 2.\nAnswer: -51*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -703\/506?\nAnswer: -703\/506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30504 (base 6) in base 10?\nAnswer: -4072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 8*y + 3*y + 32, 16 = i + 3*y. Suppose -8*h = -i*h - 124244. Suppose -85061 + h = 2*s. Round s to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80887 is divided by 1147.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 - 845\/(-20). Suppose 0*i - i = -g. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597451 is divided by 571?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2 + (1*2*sqrt(175) - (2 + sqrt(175) + sqrt(175) + 1) - -4*((sqrt(175) - (sqrt(175) + 0))*-1 - sqrt(175))))*-1)**2.\nAnswer: 40*sqrt(7) + 2806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (6*sqrt(51)\/(sqrt(9)\/sqrt(3)) + 0 - (5*sqrt(170)*2)\/(3*sqrt(30)\/sqrt(3))))**2.\nAnswer: -16*sqrt(17) + 1169\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*l + 2. Find the third derivative of 0 + 2*b**l + b**2 + 0 - 7*b**3 wrt b.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -17068 + 17067 - 62*f**2 + f - f. Determine g(-1).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 6 + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 23*c - 62. Give s(-21).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104746 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 p when four letters picked without replacement from {k: 2, c: 2, h: 3, p: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*u**2 - 19650902 + 19650902.\nAnswer: 192*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 727 times 1\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2 - 7. Suppose 2*t + 0 = 8. Suppose 2*y - 8*r + 4*r = 14, -t*r - 5 = -5*y. Is 18 a factor of l(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:27 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*g + 27. Let h(n) = -n**2 + 8*n + 9. Let m be h(g). What is the units digit of 0 + m\/1 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 435. Let z(h) = -h**2. Calculate z(y(f)).\nAnswer: -f**2 + 870*f - 189225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.185 - 0.099. Let t = 3.914 + l. Let k be (-14)\/(-10) + 1 - 2. Which is the smallest value? (a) k (b) t (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 1\/3*o**3 + 0*o**2 - 29*o + 0. Let q(x) = -5*x**2 + 18. Calculate q(p(d)).\nAnswer: -20*d**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20637 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 61? (a) -4 (b) -3\/109 (c) 1 (d) 2\/41 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 12*b**2. Let o(y) = -12*y. Give o(l(z)).\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19955, -159497, -538185, -1275593, -2491295?\nAnswer: -4304865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 413 and 15163?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*b + 2*b - 7*b)*(-5*b**2 + b**2 + 2*b**2) - 5*b**3 - 2*b**3 - 2*b**3.\nAnswer: 25*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzmmmmmmmlum. What is prob of sequence mm?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -0.2, 0.0952, -15\/8, 1 in decreasing order.\nAnswer: 4, 1, 0.0952, -0.2, -15\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (8 - 6) - 13) + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 8*o + 2 = 0, 0 = -2*t + 3*o - 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**5 - d**4 + 3104*d**3 - 981120*d.\nAnswer: 60*d**3 - 12*d**2 + 18624*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -893.03 - -889. Let i = -0.03 - q. Let g = -1 - i. Which is the third biggest value? (a) 0.4 (b) -0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 17. Suppose 2*c = b - y, 2*b + b - 3*c = 36. Suppose 0*u = -4*u + b. Solve u*f - 4 = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*1\/(-5) - 26\/(-260)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36401, 36396, 36391, 36386, 36381?\nAnswer: 36376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 + 0)*(v**2 + 3*v**2 - 3*v**2) + (-v + 0*v - 5*v)*(-v - 4*v + 4*v) as x*v + m*v**2 + g and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4)*0)\/(-2). Suppose p*o - 5*t = 4*o - 25, 2*t = -6. What is the highest common factor of o and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10*y**2 - 14*y + 40. Let f(j) = -5*j**2 + 7*j - 6. Give 5*f(s) + 2*z(s).\nAnswer: -5*s**2 + 7*s + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**(-2\/9)))*p)**(-1\/13)\/(p**(2\/3)\/p**(-19)) assuming p is positive.\nAnswer: p**(-2317\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11202121 + -10?\nAnswer: 11202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*v + 2*x, -2*x - 24 = -5*v + 24. Suppose -i - v = -1. What is the remainder when 9 + i\/(27\/12) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -1106*u - 40918. Determine d(-37).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 3*v**2 + 203*v + 832. Let k be w(-4). Factor -9\/5*s**2 - 1\/5*s**k - 2\/5 - s**3 - 7\/5*s.\nAnswer: -(s + 1)**3*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10\/27 - -1\/27. Which is the closest to i? (a) 5\/6 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3\/4 - 1887*u**2\/4 + 11133*u\/4 + 50463\/4 = 0. Calculate u.\nAnswer: -3, 9, 623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6. Suppose -16*l = l + 6*l. Calculate the remainder when f is divided by (l + -1)*-3 + 38 + -40.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b0 (base 13) to base 11\nAnswer: -819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 285\/18)\/(7\/4).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148047095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -7*p - 69, 15*p = 18*p + 21. Solve 2*o - 1 = 3*o + 3*k, m*o + 5*k + 11 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 111, -4, -24, -1 in decreasing order.\nAnswer: 111, -1, -4, -7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*r - 7 = -r, 0 = 4*k + 5*r - 6. Let a(n) = -48*n**3 + n. Let p be a(k). Calculate the highest common divisor of 47 and p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 220?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 12*(-6)\/(-9) + (-4)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/((i*(i\/i**(2\/3))\/i)\/i*i)*i)*i*i)\/i)**(3\/23)*(i*i*i\/i**(-1\/9)*i)\/(i**(8\/7)*i))**(-1\/28) assuming i is positive.\nAnswer: i**(-2915\/40572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*v = 4856. What is the common denominator of v\/220 + 16\/(-88) and -67\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.734225 hours to milliseconds.\nAnswer: 2643210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 36*z**2 + 3*z + 2. Let t be o(-4). Let g = t + -315. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 173*b**3 + 5*b**2 + 3. Let y(r) = -175*r**3 - 6*r**2 - 4. What is -6*m(o) - 5*y(o)?\nAnswer: -163*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 32*o - 3. Suppose -4*k - o*w = -620, 4*w = 3*k - w - 439. What is the greatest common factor of k and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406840 is divided by 208.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -290000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 9*d = -105618710. Let c = -6238129 + d. Round c to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + 93. Suppose l - 121 = -3*v, 0*v + 5*l = -4*v + g. What is the remainder when v is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**4\/2 + 548*x**3\/3 + 275*x**2 - 48. Find q, given that d(q) = 0.\nAnswer: -1, 0, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1531 - -1?\nAnswer: -1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-99)\/(-10)*(-56)\/84*-215?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1655 + 14920\/9. Which is greater: 4 or b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 309 = -2*j, 1605 = 5*s - j + 6*j. Is s > 318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by (-3)\/((-1)\/11*1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqdmwqwqmomwmoh. Give prob of picking 1 d, 1 m, and 1 h.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 3*j**2 - 2*j + 2. Suppose -7*i + 3*i = -144. Let c = 33 - i. Give x(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -8\/651 (c) 22413\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*q + 0*q = 105, 5*q - 58 = -2*t. Suppose 0*k - k + 2*b = -t, 5*b = -20. Let m = k + -24. Round m to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, -1, -10, -23, -40, -61, -86?\n\"Answer: -2*w**2 + w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 759 - 378. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, w: 6, p: 4, a: 4}. Give prob of picking 1 a and 1 p.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 1450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 254 - 233. Suppose 4*p - l*w = -6*w, w = -p + 1. Put p, 1, -2, -6 in decreasing order.\nAnswer: 1, -2, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 10:19 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 157 + 15?\nAnswer: 16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0163212t?\nAnswer: 16321.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2223331103 - 0?\nAnswer: -2223331103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 352?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -375720?\nAnswer: -263004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 13, -1885, -5, -2, 4 in increasing order.\nAnswer: -1885, -5, -2, 4, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8548, -8583, -8618, -8653?\nAnswer: -8688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -33*v + 2787. Let z be x(84). Solve -2*a = -3*c - 6, 0 = 2*c + a - z + 19 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:00 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -1. Suppose t - 28 = -h*v - 0*v, 3*v - 12 = 0. Suppose 3*u = u + t. Solve 2*p = 5*p - 3*g - u, 0 = -p + 2*g + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.234842 + -1053.757228. Let r = f + 1069. Round r to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**2 - 19*s - 5. Suppose 6 = 3*w, 5*j + w - 70 + 48 = 0. Calculate p(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 - 410 = -27*n. Solve 4*r = -u + 23, 4*u + n*r - 5*r = 37 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 45.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 557 - 549. Solve -2 = 5*w + h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 8:37 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5578 and 294.\nAnswer: 819966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20809074*f**2 - 31475378*f wrt f?\nAnswer: 41618148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(20)\/sqrt(4) + -3)*2 + ((1*sqrt(60) - sqrt(60))*-1)\/sqrt(12))**2)*-1.\nAnswer: -60 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130 a factor of 846751940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3\/5 + 3*s**2\/2 + 18*s\/5 + 14. Factor k(a).\nAnswer: 3*(a + 2)*(a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 169\/119, -2, 17?\nAnswer: 169\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571*r + 9150 - 5313 = 362 - 8516 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z - 5. Let l be k(-4). Solve -2 = -l*t - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/9*w**5 - 20\/3*w**3 + 0*w - 4*w**2 - 28\/9*w**4.\nAnswer: -4*w**2*(w + 1)*(w + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 4*x = -0*k + 6*k - 21, 0 = -52*k + 50*k + 3*x - 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkbk when four letters picked without replacement from kkkkbkkkbkkb?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -56588 minus -2.14?\nAnswer: -56585.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -2. Is (1 - 11140\/(-16)) + (-1)\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwmmmmmmmwmmwm. Give prob of sequence wmw.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 8*u**2 + 11*u + 4. Let b be g(5). Let h be (-34)\/b - 15\/120. Is (-5)\/((-35)\/h) + 1396\/14 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415143677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7187 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010036237 to six dps.\nAnswer: -0.001004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5\/9 + 446*g**4\/3 - 227092*g**3\/9 + 1104880*g**2\/9 - 47808*g - 1763584\/9 = 0.\nAnswer: -1, 2, 4, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) 3 (b) -7 (c) 5\/202 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 215 = 3*t. Suppose 2*p + 5 = -3*f, -3 = 3*p - 5*f - t. Find d, given that 2 + 0 - p*d**3 - 13*d**2 + 7*d**4 + 4*d**2 + 5*d = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 4*b + 4. Let s be k(6). Let t = s - 13. Suppose 12 = t*w - 0*w. Solve w = i - 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46185173.\nAnswer: 23, 2008051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2983, 2982, 2979, 2974, 2967?\n\"Answer: -a**2 + 2*a + 2982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2465*w**2 + 18734005*w - 38000 = 0.\nAnswer: 1\/493, 7600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*i**5 - 4*i**2 + 136*i + 1.\nAnswer: 880*i**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 0 = -2*a - 4, 3*u + 10 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(98) + sqrt(98)*1) + -6*(sqrt(11) + sqrt(110)\/sqrt(160)) - (-2 + -4 + sqrt(99) + -5*(sqrt(11) + 1)*-4).\nAnswer: -213*sqrt(11)\/7 - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-558)\/930)\/((-3)\/5) and 213?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22.47414 and -4.\nAnswer: -89.89656","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**5\/60 + c**4\/24 + 27*c**2. Let t(i) = -4*i. Give n(r) - t(r).\nAnswer: r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/((-2)\/(-568)). Suppose 2*r - 4*r = -t. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 380 = 2. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595798 less than or equal to 2595798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*55\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -481340 (base 12) in base 4?\nAnswer: -10130002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 68*c - 605. What is r(8)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 323102, -253 in descending order.\nAnswer: 323102, -0.2, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-18))\/(3\/12*1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 5\/11*k**2 - 10\/33*k**3 + 4\/11*k + 6\/55*k**5 - 5\/22*k**4 + 29. Suppose t(o) = 0. Calculate o.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 350 - 3288 + 28678. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*z + 62 = -32, -5*q + 218 = 4*z. Suppose -c + q = -m, c + 2*m + 37 = 2*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 54916*f. Let d(o) = -o**2. What is h(d(z))?\nAnswer: -54916*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 425, 427, 429?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.1938 + -0.0962. Let u = b + 6. Let c = u + 0.290074. Round c to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/13 and 93\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 15723617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/4*44\/55. Solve 7*b**3 - 19*b**3 + 3*b**4 + 12*b**2 + u*b - 2*b = 0 for b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71917782?\nAnswer: 2, 3, 1303, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**5\/12 - 5*p**4\/12 - 5*p**3\/6 + 37*p**2. Factor b(x).\nAnswer: -5*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 329496.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3743914 - -0.11.\nAnswer: -3743913.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 559 - 143. Let z = -418 + w. Which is the closest to 2? (a) -33 (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*v - 254*v = 219*v - 495 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*n**2 - 31*n**2 + 14*n**3)*(0*n + 3*n + 10*n) - 3*n**2 + 2*n**4 + 3*n**2 + 2*n**2 as y*n**4 + q*n**3 + s*n + d + k*n**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -153 + 162. Find the second derivative of 2*l + 31*l**5 - h*l - 2*l - 2 wrt l.\nAnswer: 620*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4906*g - 299242. Give k(-61).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - 9. Let a = 8 - i. Let f = 4 + a. Solve -31 = -5*b + 3*k, -3*k + f = b - 5*k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3033 = -43*c + 214*c + 558 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 8*a**2 - 13*a + 36. Let d be n(9). Let v be (d - (-110)\/25)*40. Calculate the greatest common divisor of v and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007655345 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 - 101*n - 850. Let i be o(-17). Solve -6*y - y - 42 = i for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29641 - 10597. Is 92 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -252207365*l**2 - 42398035 with respect to l.\nAnswer: -504414730*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 7*z**2 + 6. Let k be a(7). What is the tens digit of (-2 + 171\/k)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15c98 + 3?\nAnswer: 15c9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98381*m**3 + 10*m**2 + 6725?\nAnswer: 590286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 40 = 3*g + 4*b, -3*b = -3*g + 45. Let m(v) = -38*v + 23*v + g*v. Let x(j) be the second derivative of -j**3\/2 + 21*j. What is m(x(d))?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15469034.\nAnswer: 2, 7, 37, 29863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*t**3 + 7*t**3 - t**3 + (4*t - t + 0*t)*(-t**2 - t**2 + 0*t**2).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119718 is divided by 2485?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 24 - 64 + 13*w**3 + 112.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -20339.\nAnswer: -3\/20339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-1405)\/350 - -4 - 0). Let d be (-1)\/((-3)\/525 + 0). Calculate the highest common factor of d and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -397 and 25089093?\nAnswer: 25089490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 7 = 46 - 29. Let t(q) be the first derivative of 7 + 1\/9*q**p + 0*q - 1\/3*q**2. Factor t(j).\nAnswer: j*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**1)\/a**(3\/7)*(a**(-3)*a)\/(a*a\/(a\/a**(-7)*a))*(a**(-4)\/a**(-7))**(-1\/6) assuming a is positive.\nAnswer: a**(71\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 21*c**2 - 2*c + 25. Let k be t(-21). Solve -k = -24*q + 77 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20543094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o**2 - 139*o. Let m(w) = 25*w. Give m(x(a)).\nAnswer: 175*a**2 - 3475*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 39*o**2 + 836*o + 2950. Give v(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 3:56 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*7\/(-112)*-3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -101063167 - -19\nAnswer: -101063148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 37 + 157 = 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/3*(-354)\/(-32) and (-7704)\/48*(-3 + 110\/36)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*i + 4323 + 4261 = 0. Which is smaller: i or 802\/7?\nAnswer: 802\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -10. Let i = 4 + 21. Suppose 3*q + q + i = 5*d, 0 = y*q + 3*d - 15. Solve 3*r + 0*r = 4*w + 8, r - 5*w - 10 = q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 + 2*i + 8. Let m(w) = -3*w**2 + 2*w + 7. Let g(v) = 5*d(v) - 6*m(v). What is the remainder when g(-2) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 21*x + 23. Calculate k(-7).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 79 (b) -0.5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 10444278\nAnswer: 31332834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2 and -71\/175.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (18 - (20 - 5) - -23)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 5)*(3 - 3 + 2*t + (-3*t + 3*t + 2*t)*(-3 + 1 + 0) + 3*t - 5*t + t - 2 + 2 - 2*t) to i + j*t and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 517 + -517.012. Let n = b - 0.388. Sort 2\/7, n, 8\/15 in decreasing order.\nAnswer: 8\/15, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 47, -71, -349, -787, -1385?\n\"Answer: -80*j**2 + 122*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 9*w - 1. Let c(g) = 51*g - 1. Let d be c(w). Suppose -6*x + 2*x + 20 = 0, -4*x = -2*r + d. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/16*(-6)\/(-9)*34. Let x(z) be the first derivative of 17*z + q + 5\/2*z**2. What is the first derivative of x(y) wrt y?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 51844?\nAnswer: 51843.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/42*(-2)\/(-10)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-6 + 5 - (-48)\/(-18))?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 2*w - 187*w**2 + 188*w**2. Let g(h) = -10*h. What is p(g(r))?\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**5 - 141*v**4 + 5511*v**3 + 159729*v**2 - 606276*v - 3096900 = 0?\nAnswer: -62, -25, -3, 6, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 48322 = -2*j, -103319 = -4*j - 4*o - 6699. Let a = j + 24149. Round a to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 1640*w - 336200.\nAnswer: -2*(w - 410)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84771, 84851, 84985, 85173, 85415, 85711?\nAnswer: 86061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 - (-157 + 180 + (-2 - 122)) - 1?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*s - 1\/2*s**2 + 1\/2 - 1\/2*s**3.\nAnswer: -(s - 1)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 3*p**2\/2 + 8*p + 6. Differentiate q(n) wrt n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide (-9)\/3 + 19 + 2612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-178137512)\/(-2199036) - 1\/141?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.3, -0.07, 0, -111, -5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(180) + 1 + -4)*3 + (sqrt(180) + sqrt(180)*2)*-5 + sqrt(180) + -1 + sqrt(180) + -4))**2.\nAnswer: 6720*sqrt(5) + 72784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -63*k - 102. Calculate o(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1454, -5889, -13280, -23627, -36930?\nAnswer: -53189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 376891\/33 - 11419. What is the common denominator of l and 113\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h**3 - 22*h**2 - 92*h + 841. Is v(9) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -22\/33721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, k: 1, h: 1, d: 3, g: 1}. What is prob of picking 1 h and 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + 1.4. Let o = s + -2. Let g = o - 0. Is -3 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960485709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/28 + 19\/4. Suppose -f*a = -5 - 7. Suppose -2*v = -4*u - 0*v + 18, a*u + 5*v - 20 = 0. Sort 0, 1, 3, u in ascending order.\nAnswer: 0, 1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(28) - (sqrt(7) + -1 + sqrt(7) + 2))**2 - (-3*-1*sqrt(343))**2)*-1 + 2.\nAnswer: 3088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2003 + 12244?\nAnswer: 10241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180123051.\nAnswer: 3, 23, 31, 107, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**5\/20 + 2*k**4\/3 - 5*k**3\/6 + k**2 + 2*k. What is the tens digit of o(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/29166 and -173\/86142.\nAnswer: 418736262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 12:26 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 10:46 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*j - 122*j - 3*j**2 - 126*j - 123*j - 154*j + 631*j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16467 or -279944\/17?\nAnswer: -279944\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 - u**3 + 2*u**3)*(4*u + 0*u - 5*u + (3 - 2 - 3)*(5 - 8*u - 5)) - 7512*u**3 + 669*u**4 + 7512*u**3.\nAnswer: 684*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l**3 - 6*l**2 - 2*l. Suppose 0 = -4*t - 3*t + 21. Let o(g) = 5*g**2 - 2*g**t + g**3 - 4*g**2. Determine j(s) + 5*o(s).\nAnswer: 2*s**3 - s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12118\/7 - 1744. Let r = -1203\/56 - l. What is the common denominator of 65\/6 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**3 - q**2 - 7*q + 11. Let r(c) be the second derivative of c**5\/20 - c**3\/3 + 2*c**2 + c. Let d(h) = 17*r(h) - 6*u(h). Is d(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.5, 1, 3, -54183 in descending order.\nAnswer: 3, 1, -0.5, -1, -54183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3324, 6619, 9914, 13209, 16504?\n\"Answer: 3295*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n\/n**6*(n**0)**(-26\/3))\/((n**(-2\/3))**(-7\/11)*n**(4\/9)\/(n*n**(-4))) assuming n is positive.\nAnswer: n**(-1373\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: What is the remainder when 394 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -53, -53, -33, 13, 91, 207, 367?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 7*u**2 + u - 2. Let m be (-3)\/6*2*-7. Let p be j(m). Solve -h + 5*t = 4*t, 0 = -p*t - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 47 + 58 = 3*v, 0 = m + 5*v - 23. Which is the third biggest value? (a) -2\/7 (b) 0.75 (c) m (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8060354 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5*y = 2*y + 121 - 6, -7*w + 2*y - 219 = -2*w for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**7\/840 + n**5\/120 + n**4\/6 + n**3\/6 + n. Let d(y) be the second derivative of u(y). What is the units digit of d(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - ((-228)\/(-48))\/19. Let c(s) be the first derivative of 2\/27*s**3 + j*s**2 + 8 + 0*s. Find v such that c(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -8*q - 760. Let b = -124 - q. Find a, given that 28 + 2*a**2 - b - 14*a = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -11*g**3\/6 - 7*g**2\/2 - 2*g. Let q(a) = 5*a + 3. Let i(n) = -13*q(n) - 6*x(n). Determine i(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**4\/4 - i**3\/3 + 2*i - 1. Let j be p(2). Let z = 86 - 38. Calculate the highest common divisor of j and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/2)\/(b\/(b*b**1*b))*b\/b**7*(b**(3\/5)*b)\/b*b**1*(b\/b**0)\/b*((b*b\/((b*b*b\/((b**1*b)\/b*b))\/b*b)*b)\/b)\/b**(-2\/7) assuming b is positive.\nAnswer: b**(27\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1766 is divided by 290.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -220*t**3 - 148*t**2 + 11*t - 4. Let m(j) = 55*j**3 + 41*j**2 - 3*j + 1. Give -22*m(a) - 6*n(a).\nAnswer: 110*a**3 - 14*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18277, 17855, 17433?\nAnswer: 17011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(900))\/(sqrt(972)*1) + 5*(sqrt(9)\/(-3*sqrt(3)) + -5))*-5.\nAnswer: -50*sqrt(3)\/9 + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 350 - 150. What is the greatest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.21 + 24.21000347. Round g to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(272)*4)**2 + sqrt(272))*3 + 5 + 1 + (sqrt(85) - (sqrt(85) + sqrt(85) + sqrt(85) + 4*sqrt(85)))\/sqrt(5) + 0.\nAnswer: 6*sqrt(17) + 13062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - b + 110 = 0, -2*b + 73 = 4*u - 75. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 10:19 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aajjjlallaa. Give prob of picking 1 a, 1 j, and 1 l.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10213123220 (base 4) to base 9\nAnswer: -2243832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 14*u + 19*u = 129, -2*u - 4*u - 78 = -9*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 125889\/(-145)*(-23)\/690\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**10*n*n**7 assuming n is positive.\nAnswer: n**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by 1.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 3:05 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/21)\/(46\/(-161)). Sort -8, x, -5, -2 in ascending order.\nAnswer: -8, -5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**3 - 9*s**2 - 5*s + 5. Let o(d) = 4*d**3 - 10*d**2 - 5*d + 6. Let j be 5*((-5)\/(-10))\/((-2)\/(-4)). Let p(i) = j*z(i) - 4*o(i). What is p(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1588*z = 1562*z - 26 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.208 - 5.068. Let o = -0.45 + -6.55. Which is the biggest value? (a) 4\/3 (b) 1 (c) o (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1857.7 + 1857.8. What is the second biggest value in -1.6, -5\/3, 19, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = -4*q + 12, 0 = -3*q + 3*t + 12. Put 5, -7, q, 0 in descending order.\nAnswer: 5, q, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -80*d**5 + 120*d**4 + 315*d**3 + 130*d**2 + 15*d = 0?\nAnswer: -1, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*a + 2, a + 3 - 5 = g. Let l be 5\/((a - 0)\/1). Solve s - 20 = l*w, 3*w + 7 = -8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114820 by -22964.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i**2 + 9. Suppose 0 = -j + 5 - 3. Let q(b) = -b**2 + 1. Let z(l) = j*u(l) - 18*q(l). Let f(v) = -v**2. Determine f(z(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (-26)\/(-4) - 2\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2011110222 (base 3) to base 12.\nAnswer: -20808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n - 8 - 5*n**2 - 271*n**3 + 270*n**3 + 0*n. Let d be p(-4). Sort d, 0.2, -0.2 in decreasing order.\nAnswer: 0.2, d, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1 (c) 0 (d) -2\/51 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 70*y - 12. Let s(u) = 2*u - 1. Let q(h) = 12*s(h) - w(h). Let l(o) = -4*o. Determine q(l(i)).\nAnswer: 184*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -1.3138\nAnswer: -6.569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3 = -6*o. Let w be ((-2)\/o*3*-1)\/22. What is the smallest value in w, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2068*w**2 + 540*w**2 - 1842*w**2 to the form t*w + x*w**2 + u and give x.\nAnswer: -3370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498 = 4*g - 10*g. Suppose -5*z + 3*i + g = 0, 2 = 3*z - 5*i - 51. What is the remainder when 189 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9540.69l in millilitres?\nAnswer: 9540690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 7 - 38 + 679*r**3 + 15 + 6.\nAnswer: 679*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -706, -2693, -5966, -10531, -16394, -23561, -32038, -41831?\n\"Answer: -s**3 - 637*s**2 - 69*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -39*w - 644. What is v(-24)?\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48349505 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127 and 2032?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2448576433.\nAnswer: 173, 307, 46103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -51 + 80 + -23?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s - 5*s**2 + s**3 + 9 - s + s. Let p be b(6). What is the greatest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*r - w + 1 = 469*r, -5*r + 3 = -2*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*i + 136*i + 139*i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/10*(-12290)\/(-432608).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 165 - 165.4. Let q = -2 - -2.1. Which is the third biggest value? (a) -2 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - 14. Let l = -57 - x. Suppose 4*a - 334582 + 2194582 = l. Round a to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 m when three letters picked without replacement from {k: 2, t: 1, e: 4, m: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**2*s**3 + 13*i**2*s**2 - 210*i**2 - 4239*i*s**3 - i*s**2 + 2*i + 4*s**3 wrt s?\nAnswer: 12*i**2 - 25434*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 137027641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*p + 5*p - 70 = 0, 0 = -3*v - 4*p + 100. Let c be ((-2)\/(-8))\/((-10)\/v). Let t be 245\/42 + c\/(-6). Solve -3 = 3*i - t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1156600.3656 to the nearest ten thousand.\nAnswer: 1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25969, -3, 5, -1 in decreasing order.\nAnswer: 5, -1, -3, -25969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1657.1 + 1666. Let v = 0.109 + -0.009. Which is the closest to 0? (a) p (b) -0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134784 by -312.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17282087 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-72)\/(-34) - 2) + 832\/442. Suppose 0 = -2*d - 0*d - 2*c - 6, -d + 22 = -4*c. What is the second derivative of 46*x - 35*x + d*x**3 + 2 - r wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*l + 6. Suppose 0*y + 3*g = -y + l, 0 = -5*y - 3*g + 66. Calculate the remainder when (166\/(-5))\/(78\/(-65))*3 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-44)*(-3608)\/(-82).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a + 3*a)*(-3069 + 621*a**3 + 3069).\nAnswer: 1242*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-3) - (-4 - -4). What is the greatest common factor of 9 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15866, -15869, -15872, -15875?\n\"Answer: -3*k - 15863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.28 + -0.02. Let i = 0.2 - u. Let h = -4 - -8. Put i, 2\/13, h in descending order.\nAnswer: h, i, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 346752 by -4.\nAnswer: -86688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*d - 21, -5*d - 46 = 3*s. Let v be (2 + 6\/(-4))\/((-2)\/(-104)). Let f = s + v. Let a(k) = k**3 - 5*k**2 + 4*k + 2. What is a(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.23 - -0.93. Let f = -3.3 - s. Which is the nearest to -1? (a) -1\/2 (b) 0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 21 = -2*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, n: 1, b: 1, i: 1, w: 4}. What is prob of picking 1 i and 2 x?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312446990?\nAnswer: 2, 5, 31244699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -64810115 + -7?\nAnswer: -64810123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23514 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**4 + 384*a**3 - 1134*a**2 + 1128*a - 375 = 0.\nAnswer: 1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 123 = -585. Let i = v - -186. What is the highest common divisor of i and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - p - 5 = 0, 5*w - 4 - 9 = -3*p. Find the third derivative of 3013 - 3013 + 18*i**w + 2*i**3 wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 959070 - 959070.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 40 = 17. Solve 2*x = 4*t - r*x, -4*t + 12 = -2*x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 756348.9mm to meters.\nAnswer: 756.3489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -11*k - 101. What is v(-11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -100100205 at most -100100196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*n - 3 = 7, -2*n - 4 = 0. Sort 0, t, 18 in increasing order.\nAnswer: 0, t, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/7 - 40*x**2\/7 - 44*x\/7.\nAnswer: 4*x*(x - 11)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50901 is divided by 404.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 238627, 477339, 716049, 954757, 1193463, 1432167?\n\"Answer: -a**2 + 238715*a - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27365, 54730, 82093, 109454?\nAnswer: 136813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 11*i**2 + 3*i - 4. Give w(11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 - 537*r\/4 + 269\/4.\nAnswer: -(r + 269)*(2*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k. Suppose 2*c + 2*i = -235 + 237, 2 = -2*i. Let d(h) be the third derivative of 0*h + 6*h**c + 0 + 1\/3*h**4 + 0*h**3. What is d(u(q))?\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153\/47 - 624\/235. Suppose -12\/5*u - r*u**2 - 12\/5 = 0. What is u?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f = -31 + 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*t + 36*t - 81*t - 32*z - 17*z + 12*z - 286, 36 = -3*t - 2*z for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 17*l**2 - 101*l - 9. Let c be n(6). Calculate the common denominator of -47\/3 and ((-48)\/(-1088))\/(c\/130).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44138 is divided by 22054.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19035*z - 152351 = 16948*z for z.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -750 - -88. Let p = 3858 + l. Let n = -5396 + p. What is n rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 41*p**2 - 35*p + 210. Let z be l(-40). Let m = -32 - -45. Let o(k) = -m*k**2 + 2*k**3 - k**3 + z*k**2 - 5 - 2*k. Determine o(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(165)*-3 + sqrt(165)) + sqrt(165) + sqrt(165))\/sqrt(5)*-4)\/(sqrt(1100) + sqrt(1100) + 1*-1*sqrt(1100) + (sqrt(1100) - -4*1*sqrt(1100)))*-4.\nAnswer: -32*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 5*v = 0, 27 = -7217*j + 7222*j + 13*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + sqrt(832)*-2*6 + sqrt(832))**2.\nAnswer: 1584*sqrt(13) + 100753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/35)\/(32\/(-360)). Which is bigger: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b - 3. Let z be r(2). Let f be -4*((-27)\/12)\/z. Solve x + 5*q = -9, 2*x = -2*q + f - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 606 and 78621026.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + sqrt(637)*-2)**2 - (((sqrt(637) - (sqrt(637) + -1 - sqrt(637)))**2 + sqrt(637) - sqrt(637))*-3 - (sqrt(637) + -1 + sqrt(637) + 3)**2).\nAnswer: 210*sqrt(13) + 1902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 500.3196 tonnes?\nAnswer: 500319600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k + 251 - 2*k**3 - 249 - 2*k**4 + 2*k**2 + 3*k to the form s*k**4 + t*k + f + z*k**3 + x*k**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 123\/6*2 - -2. Suppose -a + 178 = 3*r. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 9 - (12 - 0) - (15 - 31)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-171*37\/16)\/((-153)\/12). Let l = z + 610019\/612. Let b = l - 92827\/90. Find the common denominator of b and 43\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - s + 6. Let h be n(3). Let c = 78 + h. Calculate the highest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**3 - 1. Suppose -5*k - 2*j = -7*k - 4, 0 = 4*j - 16. Suppose 28 - 10 = k*n. What is the smallest common multiple of n and g(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 209815 and -0.026111445?\nAnswer: 209815.026111445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-10) + (10 + -5)\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -17. Let y = v + 13. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317740482 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.2 + 30.5. Round w to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*((-8)\/4)\/(-6)*1. Let n(g) = -9*g**2. Determine n(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 916 * -86103\nAnswer: -78870348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 2*o - 2*o)*(-774*o**2 - 3610*o**2 + 2*o**3 + 1440*o**2).\nAnswer: 2*o**5 - 2944*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*o**4*t - 39*o**3*t + 3079*o**3 - 4657116*o**2*t - 2*o*t wrt o?\nAnswer: 216*o*t - 234*t + 18474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 15)*(-4)\/4. Suppose 2*x - 10 = v. Suppose 5*q + 7*s - 699 = 3*s, 441 = 3*q - 3*s. What is the greatest common factor of x and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -379*y - 1484. Let k be x(-4). Suppose 4*f - 104 = 5*d, f - 5*d - 10 - 1 = 0. Which is greater: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 6:37 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 30*g = 20. Suppose 2*k = -g*p + 215, -15*k - 435 = -19*k - 5*p. List the prime factors of k.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from ussususs.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -65*b**3 - 3*b. Let x(j) = 66*j**3 + 4*j. Calculate 4*p(c) + 3*x(c).\nAnswer: -62*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - c1d?\nAnswer: -c1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*b = -5*r - 253*b + 672, 0 = -3*r + 3*b + 405. Solve 25*q - r = 16 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -172, -407, -642?\n\"Answer: -235*d + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 + 140 = -j. Suppose -3*p = 9, 0 = -3*b - 4*p - j. Let n be (4\/1)\/b - 0\/18. Put -9, n, -3 in decreasing order.\nAnswer: n, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319902 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1979845 divided by -120.\nAnswer: 395969\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -216, -768, -1688, -2976, -4632, -6656, -9048?\n\"Answer: -184*t**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 17*i - 156. What is the units digit of b(31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564384.\nAnswer: 2, 3, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 5*r**2 - 4*r + 3. Let z be d(-4). Suppose -105 = 9*l - 10*l. Suppose 3*t - z - l = 0. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4699554 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 4*z - 7482 - 7502 + 14962, -43 = 5*g - 2*z for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65 + 17*q - 48 - 18*q + (0 + 23 + 0)*(3 + q - 3) + 0 + 0 - 2*q + (-2 + 7 - 3)*(-3*q + q + 0*q) + 2*q + q - 2*q to the form z*q + b and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -436 + 3491\/8. Sort 0.7, -1\/178, t in increasing order.\nAnswer: -1\/178, t, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 2*d + 2. Let i be z(0). What is the third derivative of m**2 + m**i + 6*m**6 + 2*m**6 wrt m?\nAnswer: 960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -17*n**3 - 2*n**2 + 4*n + 4. Let o be p(-1). Suppose -4*q = -o*q + 2849. What is the greatest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -21*(1 + -1 + 5\/(-15)). Suppose l + 4 = 5*b, -3*l - 3 = b - i. Put l, -5, -3, 2 in descending order.\nAnswer: 2, l, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -0.1, 37, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*(sqrt(539) + -6*sqrt(539)) - (sqrt(539)*-3 + -4))*-4)**2.\nAnswer: -217728*sqrt(11) + 56584368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -1\/210*m**7 + 0 + 0*m**3 + 1\/24*m**4 + 2*m**2 + 0*m**6 + 0*m**5 + 0*m. What is the second derivative of t(c) wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 7*a**3 - 395024*a**2 - a + 395024*a**2.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -885+1026.157\nAnswer: 141.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*w**6 + 21*w**5 - 16589*w**3 - 6548464*w**2 + 8*w.\nAnswer: 10560*w**3 + 1260*w**2 - 99534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*v**2 + 0 + 0)*(2*v + 6 - 6) + (v**2 + 0*v**2 + 0*v**2)*(2*v - 2 + 2) + 4*v**3 - 2*v**3 - 3*v**3)*(-7*v - 1 + 6 - 7).\nAnswer: -35*v**4 - 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*c**2 - 3 + 3 - 92*c**2.\nAnswer: -145*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 442 = -235*d. Let q(s) be the second derivative of -1\/12*s**4 + 0*s**3 + 0 + 28*s + 0*s**d. Let x(a) = -8*a**2. Calculate x(q(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13504 is divided by 4367?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39312 and 4353048.\nAnswer: 113179248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 7:19 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6847886?\nAnswer: 2, 29, 37, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 164 = 61*r + 28 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 15, -4*i - i - 18 = -b. Put b, -0.2, 0.3, -2\/7 in descending order.\nAnswer: b, 0.3, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - ((sqrt(2448) - (sqrt(2448) + 0)*1) + sqrt(2448))) + 4*2*sqrt(2448) - (sqrt(2448) + -1 + 2 + sqrt(2448) + 0 + sqrt(2448) + -4))**2.\nAnswer: 360*sqrt(17) + 61209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 235*a**2*n - 309*a**2 - 4*a*n - 6990539*n with respect to a.\nAnswer: 470*a*n - 618*a - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91625.81 litres to millilitres.\nAnswer: 91625810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-7) - 27950\/(-56000) and 167\/60.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9921, 9880, 9837, 9792?\n\"Answer: -r**2 - 38*r + 9960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*r + 7*f - 2240, -5*f + 560 = -r. Let b be (-3)\/(15\/58*14\/r). Suppose 3*t - 2*i = b, -3*t - 3*i = -0*t - 489. What are the prime factors of t?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 949 - 185 - t**3 - t**3.\nAnswer: -2*t**3 - 3*t**2 + 764","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 940*p**2 - 3 - 15 to b + x*p**2 + m*p and give x.\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 314177787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i - 6, 0 = 4*w + 4*i. Which is the third biggest value? (a) -2 (b) w (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036209 is divided by 148015?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 2*n - 4. Let b be g(-2). Find the third derivative of -8*m**2 + 4*m**6 + 3*m**6 - 2*m**b + 2*m**4 wrt m.\nAnswer: 840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 8:56 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4246*v**5 + 7264*v**4 + 8*v**2 + 5879468?\nAnswer: -254760*v**2 + 174336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 366 or 349130\/957?\nAnswer: 349130\/957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/8)*a)**41)**(-1\/29)*(a\/(a**(-1)\/a)*a)**24*((a**2\/a)\/a)**(2\/3) assuming a is positive.\nAnswer: a**(21821\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.8705 grams to milligrams.\nAnswer: 22870.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -87, -44, 83, 336, 757, 1388, 2271?\n\"Answer: 7*c**3 - 6*c - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w. Let k be b(2). Suppose -20 = u - k*c, -4*u - 3*c - 16 = 31. Let g = 0 - u. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/3 or -18?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**2\/3 + 1309111*y\/3 + 10472824\/3 = 0.\nAnswer: -1309103, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5 + 106*f**4 + 1454*f**3 + 1246*f**2 - 1456*f - 1352 = 0. What is f?\nAnswer: -26, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7100 is divided by 324?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -517.239 + 517. Let q = n + 0.039. Sort q, 3, -2\/15, 1 in decreasing order.\nAnswer: 3, 1, -2\/15, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i + 1. Let o = -11 + 15. Suppose o*h + 7 = 11. Is a(h) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15397 <= -15394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 271 - 75 = 0. Suppose 6 = 2*a - f. Calculate the remainder when a is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 - -69. Let w(z) = 8*z + 19. Let h(a) = -8*a - 20. Let m(k) = o*w(k) - 4*h(k). What is the first derivative of m(p) wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/264 and -25\/109197.\nAnswer: 873576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 22*i - 26*i. Let p be 2\/(-5) + 24\/10. Differentiate -28*l + i + 28*l - 3*l**p with respect to l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**2 - 24 - 8*s + 0*s**2 + 8*s**2 + 28*s = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnmnnppn. What is prob of sequence mpp?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00293511783 to 6 dps.\nAnswer: 0.002935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 1\/6, 0.1, -4, -0.03?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187 + -187.04. Let o = 0.2 - 0.1. Are o and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 - 2*b - 41. Let x be l(7). Let h(z) = 11*z**3 - 2*z**2 + z. Let m be h(1). What is the highest common divisor of x and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177 times -1\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5317a (base 15) to base 14.\nAnswer: -6c0bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from srjokjojoorkokjrsojj?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1494259?\nAnswer: 13, 137, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 613289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5312613469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -296807\/183 + 577\/122. Let z = w + 1613. Calculate the common denominator of -7\/8 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 334, 667, 1000, 1333, 1666, 1999?\n\"Answer: 333*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -36*n**3 - n**2 + 1. Suppose -f - 1 = -0*f. What is the units digit of j(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5680293547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1550955923067.8 from 0.3.\nAnswer: -1550955923067.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192504806?\nAnswer: 2, 13, 7404031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/8)\/((-194)\/(-40) + -5). Let s be 2 - 1 - -1*(-10)\/n. Sort -1, s, -5, -4 in decreasing order.\nAnswer: s, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.091 + 0.081. What is the closest to 0.3 in 4\/9, 1\/7, r?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 4030.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (5 - (1 - -12)) + (2 - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 4, 2\/7, -12, -1.06?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*b - 155 + 309 - 154.\nAnswer: 150*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*c**4 - 622977*c**3 + 20*c + 3010867?\nAnswer: 732*c**2 - 3737862*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100011011100110 (base 2) in base 4?\nAnswer: 30123212","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -2327*q + 2306*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 1686802?\nAnswer: -8434010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1) - (-7 - (-2 - 2)). Solve -3*a = 2*m + 10, -m - f*a - 15 = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 44*b + 38. Give f(23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19911 + -19912. Let k = -5.3 - -5. Which is the nearest to -1? (a) 0.1 (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**2*s + 2*q**2 - 6*q*s + 2*q + 7150*s wrt q?\nAnswer: 4*q*s + 4*q - 6*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*q + 6*f - 2*f, -4*f = 5*q + 26. Let p = -11553\/5 + 2370. Let w = -60 + p. Which is smaller: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 981 by 2.\nAnswer: 981\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -56.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -5.8. Let q = -0.014 - -1.084. Let v = -1.04 + q. What is the second smallest value in u, 5, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x = -162 + 112 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-98)\/(-7))\/((-3)\/(-6)). Suppose r*a = 16*a + 3228. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 12, e: 3, f: 2}. What is prob of picking 1 f and 1 a?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1\/v)**(2\/29))**(-2\/67) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15673, 16270, 16867, 17464?\n\"Answer: 597*o + 15076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -12*m + 5*p + 56, -3*m = -2*p - 71. What is the remainder when 671 is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*b = 2*a - 63*b + 62, a - 5*b + 49 = 0. Suppose 95*d + 136 = 91*d. Is d < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 h, and 1 u when four letters picked without replacement from hupp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + g**2 - 7*g**2 + (9 - 9 + 7*g**2)*(1 + 0 - 2).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 392634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 10:30 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453, -680, -879, -1056, -1217, -1368, -1515?\nAnswer: -1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u = -12*u - 4312. Let m = u + -368. What is the remainder when 80 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395 = -3*u + 2*p, -3*p = -5*u + 65 - 725. Let o = 39 - u. What is the greatest common divisor of 261 and o?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*a + 3. Let j = 31 + 46. Let h = j - 73. Solve 5 = -h*g + a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3201478 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: Let w = -787\/3 - -265. Let r be (9\/(-6))\/((-9)\/24). Find v, given that -8\/3*v**2 + 0 - 2*v + 4\/3*v**3 + 2\/3*v**5 + w*v**r = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-208)\/(-13) - 22)*-1. Let j(a) be the second derivative of 1\/75*a**d + 0*a**2 - 2\/15*a**3 + 0*a**5 + 35*a - 1\/10*a**4 + 0. Solve j(f) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12707 and 2.899.\nAnswer: -36837.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -15*m - 6. Let b be l(-7). Let q = b - -3501. Round q to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (10 - 1 - 4). Suppose -o*g = a - 11 - 11, -g + 5*a - 5 = 0. Suppose 2*y = 5*y. Solve d + y = g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c - 13. List the prime factors of y(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 5:50 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43984, -43989, -43994, -43999, -44004?\nAnswer: -44009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.68877131 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 188954*u - 2 - 188959*u - 1. Let b(s) = 9*s + 6. Suppose 0 = -2*f - 2*f - 28. Calculate f*z(l) - 4*b(l).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5760937.403 - 5757501. Let q = d - 3438. What is q rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuuux. Give prob of picking 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(24) - sqrt(96)*6)\/sqrt(8).\nAnswer: 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(88)*2)\/sqrt(8) + 0 + 3.\nAnswer: -2*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1356*h - 49934. Determine i(36).\nAnswer: -1118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 1\/8*k**4 - 2*k**2 + 1\/20*k**5 + 0*k + 0 + 0*k**3. What is the second derivative of b(f) wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2951298.94399946 - 2951299. Let k = 1.356 - 1.3. Let r = s + k. Round r to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -1. Suppose 4752 = -38*x - 106*x. Let w(g) = 55*g + 33. What is x*n(j) - w(j)?\nAnswer: -55*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11402 - -49469. Let o = w + -195871. Round o to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4664037258?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15808 divided by 494?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 4)*(25 + 63 + 77)*(-14*r - 7*r + 75*r) as n + u*r and give u.\nAnswer: 17820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 19*l**3 + 3*l**2 - 3*l. Let w(q) = -96*q**3 - 16*q**2 + 16*q. Determine 16*m(z) + 3*w(z).\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(126))\/(sqrt(6)\/sqrt(3)*-1).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 105*m - 1899. Let x be i(21). Suppose -3*o - 2*r = 722, -5*o + 2*r = 904 + 310. Let j = x - o. What are the prime factors of j?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(3) + 3 - sqrt(3) - (sqrt(3) + (sqrt(324)\/sqrt(12))**2) - ((sqrt(75) + -1)*2)**2.\nAnswer: -328 + 39*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107768 is divided by 1738.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-111)\/(-12))\/((16\/(960\/45))\/(-3))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*u - 25 = 0, -44 = 5*p - 4*u - 24 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*v - 454 + 2950, 3*l - 3732 = v. Calculate the greatest common factor of 60 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(125))**2*-6 + (2*-2*sqrt(125) - (sqrt(125) - (sqrt(125) + -1 + 5)))**2 + 2.\nAnswer: -160*sqrt(5) + 3518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-1))\/((-84)\/6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001172426 to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(5\/6))**(-41)*(l**(10\/11))**(-6\/17) assuming l is positive.\nAnswer: l**(-8027\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6650*k**3*m**3 + 389*k**2*m**3 + 2*k**2*m + 2 wrt k.\nAnswer: -39900*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(5\/3)\/5. Suppose c - 3*w + 132 = -w, 2*w + 6 = j. Let t be c\/(-4)*(-500)\/(-15). What is t rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 760 = 4*s, -2*s + 7*q + 380 = 10*q. Let d be s\/8 - -3*(-2)\/(-24). Solve -4*v + d = -4*m, 0 = -5*v - 4*m + 2 + 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 65700 = 1867*f + 3844*f - 56298 - 32199 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 456*m**2 - 456*m**2 + 31*m**4 + (0*m + 3*m - 5*m)*(2*m**3 - 2*m + 2*m) as l*m**2 + g*m + x*m**3 + p + t*m**4 and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 0 + 26\/3*l**3 + 2*l**2 - 72*l. Differentiate g(k) wrt k.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-2)\/(-13))*4074\/42 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*m + 671 = 29*m - 21*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -8. Let s = -5.5 - -37.5. Let h = -32.2 + s. Which is the third biggest value? (a) h (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*l - 2*l. Let c = 0 + l. Let v = c + 24. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -40. Suppose k - 3*k = -x*u + 42, 51 = 3*u + 5*k. Find the third derivative of 27*q**3 - 27*q**3 - 18*q**4 - u*q**2 wrt q.\nAnswer: -432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/16*8\/(-12). Which is the second biggest value? (a) u (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165546 * -100\nAnswer: -16554600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + (-105 - -59) + 11?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 - t + 4. Let h(a) = a**2 + a + 2. Let j(x) = 7*x**2 + 3*x - 1. Let v(g) = -2*h(g) + j(g). What is -3*n(q) - 2*v(q)?\nAnswer: 2*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 45. What is the remainder when x is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3091 + 2?\nAnswer: -308f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5182 at most 14230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**4 - 12 + 3*a**4 + 9746*a**3 - a - 9844*a**3 - 3*a + 2*a - a**2 as d*a**4 + y + g*a**2 + p*a + m*a**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - g**2 - 4*g + 3. Let v(w) = -5*w + 7*w**2 - 13 - 3*w - 2*w + w**3. Let b be v(-8). Is 9 a factor of c(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**3 - 2*s**2 - 5*s + 4. Let k(r) = -6*r**3 - 2*r**2 - 6*r + 5. Determine 5*i(u) - 4*k(u).\nAnswer: -6*u**3 - 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**3 - 11*s**3 + 22*s**3 - 3*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a6 - -31056?\nAnswer: 30360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186308559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69153975.\nAnswer: 3, 5, 11, 27941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -108727*c*n**3 - 173148*n**3 wrt c.\nAnswer: -108727*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1086 divided by 2.\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 + -87.6. Put -2\/109, -4, a in decreasing order.\nAnswer: a, -2\/109, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - -3.01. Let u = -0.01 + -0.99. What is the second smallest value in x, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(192) + -1)**2.\nAnswer: -386 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 - (-36 - -35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**35)**(-1\/22) assuming t is positive.\nAnswer: t**(-35\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 14*s**2 - 5*s - 5. Suppose -2*x + g - 17 = 0, 6*g + 19 = -3*x + g. What are the prime factors of d(x)?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 794 + -797. Let q(a) = -59*a**3 + 2*a**2 - 9. List the prime factors of q(h).\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1656073 and -3.\nAnswer: -4968219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1993?\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from gmgqgru?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 9:53 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1471 in 0.5, 1, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f**3 - 10*f**2 - 8*f - 8. Let z(c) = -5*c**3 + 9*c**2 + 7*c + 7. Let a(k) = 6*g(k) + 7*z(k). Let m be a(-2). Are m and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + o - 6. Let b be y(-2). Let v be (2 - (-16)\/b)*(-921)\/2. Suppose -v - 195 = -12*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -36*n + 1391. Let w(s) = -2*s. Calculate w(k(q)).\nAnswer: 72*q - 2782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + -1 + (-1 + sqrt(2448) - sqrt(2448)))**2 - ((sqrt(102) + sqrt(102)*-2)\/sqrt(3))\/(-2*sqrt(50) + sqrt(50)).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*m - 278 + 291 = 0, s + 3*m + 2 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/132504012 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 5*g - 37, 169*p - 183*p - g = 65 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.80756 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 2240 = -63*i + 26*i. Suppose -v = 3*c - 2*v - 196, 4*c - 266 = -v. What is the remainder when c is divided by i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.13 + -2.23. Let w = 33 + -23.8. Let i = w - 8.9. What is the nearest to p in i, 1\/6, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -455*s**3 + 6*s**2 + 5*s - 10. What is the tens digit of a(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 256.32 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114 + 50 - 10832*o + 48 + 16 to h*o + k and give h.\nAnswer: -10832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + d - d - d + 0*d + (-2*d + 2 - 2)*(1 + 1 + 0) + 24*d + 113*d + 44*d + 1 - 1 + 2*d)*(5*d**3 + 0 + 0) - d**4 + 2*d**4 - 3*d**4.\nAnswer: 878*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57512 divided by -74.\nAnswer: 28756\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2355 + 2351. Let x = 53 - 52.49. What is the fourth smallest value in -3, x, 0, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355640.7 days in milliseconds?\nAnswer: 30727356480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 9 = 3*g - 11, 2*g = -3*d + 12. Suppose -5*n = -4*n - 6. Let w = d - n. Do -2 and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 + -3 + -1 + (25 - 0))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 + 107. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8713.667 minutes to milliseconds.\nAnswer: 522820020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 26 = 22. Solve -5*q + 3*y - 25 = 0, 4*q + 3*y - u = 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*g + 2*t - 22, -2*g + 12 = 2*t. Is g not equal to -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*q - 15. Let p(j) = j**3 - 5*j**2 - 5*j - 5. Let t be p(6). Let b(w) = t - 21*w + 4 - q. Let c(k) = 2*k**2. What is b(c(o))?\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (41\/2)\/((-2)\/(-4)). Suppose 5*m - l = 79. What is the highest common divisor of 36 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2748281.1 rounded to the nearest ten thousand?\nAnswer: 2750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -5*h - 4*y + 10, 2*h = -y + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + sqrt(17) + 2 + 1 + 5 + (1*sqrt(272) + (2*sqrt(204))\/sqrt(12))**2 + -2.\nAnswer: sqrt(17) + 622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19636982, 19636979, 19636980, 19636991, 19637018, 19637067?\n\"Answer: c**3 - 4*c**2 + 2*c + 19636983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*o - 19 - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 587770, 587764, 587758, 587752?\nAnswer: 587746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buub. Give prob of sequence ubu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, 0.2, -28, 2\/3, 0?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 23*x - 27. Let z(m) = m**2 + 21*m + 26. Let v(u) = 3*p(u) + 2*z(u). Give v(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = -55*r + 37*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1419504799?\nAnswer: 509, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4943, -71, -4, 14 in decreasing order.\nAnswer: 14, -1, -4, -71, -4943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 9) + (5 - 1 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - 3 + 3)*(2*q + 4*q - 5*q) + 0 + 0 - 2*q**2 + 4*q to the form n*q + d*q**2 + u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -94. Let o be (-1)\/92*-4*(u + -501). Let j = -969\/46 - o. Find the common denominator of j and 91\/18.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/3519)\/((-42)\/238).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 5*t - 129. Let j be i(7). Solve 3*f - 15 = 0, 2*u + 0*u - j*f + 28 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52\/47 + 2092\/1551. Let v = g - 122\/231. What is the nearest to v in 2\/3, 1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/((-13)\/(1248\/1080))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10716 is divided by 76.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, -2, 0.05?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/5 + 3855744*h**2 + 115672347*h\/5 + 173508534\/5.\nAnswer: -(h - 19278726)*(h + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 376835 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -17059014.91 to the nearest one hundred thousand.\nAnswer: -17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 81?\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -10243 in descending order.\nAnswer: 4, 0, -10243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 340*d**2 - 413*d**2 + 603*d**2 + 7*d as g*d + m*d**2 + l and give m.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 0.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2736152 - -533?\nAnswer: 2736685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12323.\nAnswer: 12323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -z + 42, 1605*z = 1609*z + 8 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 79.62+9.78\nAnswer: 89.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 131, 292, 517, 806, 1159?\nAnswer: 1576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 10*l + 3. Suppose -h + 5*m = 22, -4*m + 33 = 5*h - 8*h. What are the prime factors of j(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046585 rounded to four decimal places?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -963*m**5\/20 + 523*m**3\/6 - m**2 + 47*m - 5. Differentiate p(o) with respect to o.\nAnswer: -5778*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 23*t - 462 = 0. Calculate the remainder when t is divided by 2\/(-7) + (-142)\/(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6164, -1, -65 in ascending order.\nAnswer: -65, -4, -1, 6164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-7)\/(84\/(-32))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/13683 and 11\/10.\nAnswer: 136830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-5)*(-14220)\/457884?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eciiiiiiibibiibbe. Give prob of picking 2 i.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mee when three letters picked without replacement from eieveemiveemikjmemie.\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3715 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4854+-4\nAnswer: 4850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12))\/(4*(-1)\/8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*9\/90*-10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1608d4 (base 14) to base 4\nAnswer: 2330000122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/6)\/((-4)\/48). Suppose -q*x = -6*x - 72. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**7*t)\/t)**4)**(-10\/3) assuming t is positive.\nAnswer: t**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5 + 3*v**3 + 2*v**2.\nAnswer: -v**2*(v - 2)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 p when four letters picked without replacement from hphhhhphhhhhhph?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + i - 17 = 0, -3 = -5*j + i + 7. Which is the closest to 15? (a) -2\/3 (b) j (c) 1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*n + 295 - 1946 = -478 + 34227 for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 11:27 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = 18. Let w be (-1 + 2)\/(-1)*4. Calculate the remainder when ((-2)\/w)\/(1\/70) is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 38, 13, -2\/7, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -7 (c) 1\/5 (d) 4 (e) -75 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -46. Suppose 3*x = -2*w + 21, -2*x - t*w + 16 = -0*w. Suppose -n - 446 = -6*n - 3*m, 15 = -x*m. List the prime factors of n.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -239600 to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 168743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 202691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 50*h**2 + 4*h - 7. Let m(v) = -75*v**2 - 6*v + 10. What is -5*m(a) - 7*q(a)?\nAnswer: 25*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 817, 1850, 3305, 5188, 7505?\nAnswer: 10262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 5. Let w = 12 - 5. Let t be y(w). Let r(i) = t*i + 3*i - 7 - 13*i - i**2. Give r(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 1551?\nAnswer: 7755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -802.4 + 802. Let h = -2.1 + 2.3. Put h, -1.3, l in increasing order.\nAnswer: -1.3, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03488799 rounded to 4 dps?\nAnswer: 0.0349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, -0.02, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -52. Let l = -21.924 - t. What is l rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 5:30 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 16, -0.028, 47\/24 in increasing order.\nAnswer: -0.028, 1\/2, 47\/24, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Suppose w*m + 330 = 3*g + 8*m, -5*g + 3*m + 516 = 0. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, b: 1, i: 2, f: 1}. What is prob of picking 1 i and 1 n?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.549431 - 0.5563. What is z rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - -35 - 49) + 75.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 g when four letters picked without replacement from ggdgggggaggogo.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, i: 4, t: 2, n: 2, a: 1}. What is prob of sequence ii?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(1 - (-78)\/15). Let h = 43 + c. List the prime factors of h.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 224?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m - 66. Let u be h(18). Let j be (26\/(-30) + u\/30)*-57. Calculate the highest common factor of 190 and j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4744 divided by 4.\nAnswer: -1186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-180)*-5*(-24)\/(-80)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 37. Suppose -41 + 31 = -2*r - 5*y, r = -5*y. Solve -f - 2*f - r = -v, 3*f = -a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 2*j - j)*(-845 + 1732 - 784)*((0 + 4 - 2)*(-1 + 1 + 1) - 2 + 1 + 0) in the form z*j + c and give z.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 0 + 0\/(-3))\/(78470\/(-2242))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -7*u**5\/5 + 2*u**3\/3 + 21*u**2 - 33. Let r(j) be the second derivative of d(j). Find the first derivative of r(i) wrt i.\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 242 divided by -121\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 1\/2953, -0.4, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + -1. Suppose 9*s = 6*s + 21. Let g(l) = -2*l**3 - 12*l**2 + 3*l - 9. Let n(q) = 3*q**3 + 18*q**2 - 4*q + 13. Let w(c) = s*g(c) + 5*n(c). Give w(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158958 and 1098?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1197, 2705, 4875, 8043, 12545, 18717?\n\"Answer: 56*s**3 - 5*s**2 + 1131*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 58124?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 22. Let r be 8\/3*h\/(-4) + -2. Suppose -36 = -4*g - 0*g + r*s, 3*g - 5*s = 19. What is the remainder when g is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 196.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245633527 to the nearest integer?\nAnswer: 15673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 664240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 - 408*h**2 + 7884*h - 14168.\nAnswer: 4*(h - 77)*(h - 23)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 33 - 154. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {b: 1, t: 1, d: 2, q: 4, v: 4, s: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1900) + -1)*-1 + (5 + sqrt(1900)*4 - sqrt(1900))*-2)**2.\nAnswer: 1100*sqrt(19) + 229925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -6*s - 6*s. Let r = s - 22. Let t(n) = -35*n**2 - 20*n + 20. Let g(u) = 5*u**2 + 3*u - 3. Let o(b) = r*t(b) - 20*g(b). Factor o(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3605, 7216, 10831, 14450, 18073?\nAnswer: 21700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2*14)\/((-16)\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9634744?\nAnswer: 2, 7, 172049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1767, -3993, -6201, -8391, -10563?\nAnswer: -12717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2454 and -71\/1410?\nAnswer: 576690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -43311937 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zszzzzzzsszzsssszzss. Give prob of picking 4 z.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 2*g - 4*g)*(-237 - 827 + 306).\nAnswer: -1516*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*x - 1, 4 = x + 2*x - 2*l. Suppose -3 = u + p + x*p, -5*p + 16 = 4*u. List the prime factors of (-10)\/5*u\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 8\/85 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253258254 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a**2 - a - 4*a**2 - 4*a + 2*a**2 to the form m*a + j + t*a**2 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 20, 2\/17, 246, 0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68375036 - 2925*j**2 - 124626*j**3 + 124629*j**3 - 34609339 + 950625*j.\nAnswer: 3*(j - 325)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(6\/7)*p*p**7\/p)\/((p\/((p*p**8)\/p)*p)\/(p*(p*(p*p\/p**8*p)\/p*p*p)\/p))*(p**(2\/13)\/p*p**0)\/(p**(-2)\/p)**(-39) assuming p is positive.\nAnswer: p**(-9801\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 26. Solve 0 = 4*m - m + 5*u + y, -6 = 2*u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, r: 6}. What is prob of picking 1 u and 3 r?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 166792890 a multiple of 2398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1100*a*b**2 - 115*a*b - b**3 wrt b?\nAnswer: 2200*a - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28716702.\nAnswer: 2, 3, 7, 683731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51404039650 - 0.043?\nAnswer: 51404039649.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(3 + -4 + 14). Let n = p + -9. Factor -a**3 - 2*a**2 + 18 - 18 + a**n.\nAnswer: a**2*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 4*y + 2*y)*(-4 + 2 + 9) - 6*y + 2*y + 3*y - y - y + 4*y + (0 + 2*y + 0)*(1 + 3 - 3).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fww when three letters picked without replacement from {f: 10, w: 9}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894172145?\nAnswer: 5, 178834429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (94*a + 25*a + 30*a)*(6 - a + 11 - 13) as y*a**2 + d + i*a and give i.\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 344 and 64?\nAnswer: 2752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1218 and -0.47783.\nAnswer: -1218.47783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1271*n**3 + 17*n + 3 - 4*n.\nAnswer: 1271*n**3 + 13*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.217?\nAnswer: -0.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 150.427214 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1388 - 1394.01. Let s = i - -6. Put s, 3, 1 in decreasing order.\nAnswer: 3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.716088 decades to millennia.\nAnswer: 0.07716088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61596?\nAnswer: 2, 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -379.999999113 + 380. Round q to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 186 + -24?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 294\/783 - 10\/(-145)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -60 + 38. Suppose 330 = u*x - 452. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 16. Let i = 53 + n. Suppose -4*k = 2*y - 3*y + 20, -k - i = -3*y. Are 8 and y unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, 73, 129, 171, 193?\n\"Answer: -k**3 + 2*k**2 + 65*k - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/6 + 2120\/15.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -11. Let v = -5 + 2. Suppose 2*m = 4*m + 8. Sort 2, g, m, v.\nAnswer: m, v, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*a**2*i**3*s - 5183*a**2*i**3 - 837922*a**2*i*s - 13*a**2 + 53*i**3 wrt s.\nAnswer: 9*a**2*i**3 - 837922*a**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 + 3 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o. Let k(g) = 36*g. Let j(i) = 15*f(i) + 2*k(i). Let s(q) = -5*q + 22*q + 9*q - 4*q. What is j(s(u))?\nAnswer: -66*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 15. Let z be h(10). Let y = -2 - z. What is the remainder when y is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 + 130 + (-1 - 1 - 1) + 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**5\/5 - 364*a**4\/5 - 11568*a**3\/5 - 8064*a**2 = 0.\nAnswer: -24, -4, 0, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -224758.\nAnswer: 7\/224758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**4 + 25*q**3 + 27*q**2 + 3. Let x(d) = 5*d**4 - 76*d**3 - 82*d**2 - 8. Let a(z) = 8*v(z) + 3*x(z). What is the third derivative of a(c) wrt c?\nAnswer: -24*c - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 6*c + 6. Let r be ((-3)\/(-9))\/(2\/(-24)). Calculate the remainder when (-175)\/14*4*r\/5 is divided by p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3760*b**3 - b**2 + 5*b + 1. Let g be u(5). Let t be (-3 - -3) + (1 - g). Round t to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 5. Let d be o(-5). Let q(l) = -3*l - 7. Let v(a) = -2 + 6 + a + 6 + 3*a. Let i be 7\/((0 + -1)*-1). Calculate d*v(s) + i*q(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(1\/10)*b)\/b*b)**1*(b\/(b\/b**(-19\/2)))**(-23\/2))**(2\/33) assuming b is positive.\nAnswer: b**(741\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = -2*k. Is (-27 - 4)*(-4 + k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5772\/(-259))\/(-1*(-2)\/(-14)).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 11) to base 3.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1403049684 and 492?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47517523 + 0.2525.\nAnswer: 47517523.2525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/3 + 40*z - 600 = 0. What is z?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - -59)*(2 + 3). Let c = r - 176. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4593, -4594, -4595?\n\"Answer: -y - 4592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**3 + 6*q**2 - 4*q**2 + 37 - 35 - 5*q**3 - 19*q**4 to c*q**4 + k + z*q**2 + a*q**3 + j*q and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 818 + 1386.32.\nAnswer: 2204.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101799*k**3 + 29*k**2 - 75*k wrt k?\nAnswer: -610794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 127, 100, 61, 16, -29, -68, -95?\n\"Answer: a**3 - 12*a**2 + 2*a + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-21) - (-750)\/(-210)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1521.\nAnswer: -4\/1521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1236.134 tonnes to grams.\nAnswer: 1236134000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4426 is divided by 74?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 95, 375, 841, 1493, 2331?\n\"Answer: 93*y**2 + y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 2*g - 3. Let s be w(4). Let j(b) = -4*b - 12*b**2 + 5*b + 7*b**2 - s*b - b**3 - 5. What are the prime factors of j(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d - 5*d - 3 + d - 20 - 2*d**4 to the form v*d + p*d**4 + g*d**2 + o + x*d**3 and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 c, and 1 g when four letters picked without replacement from pprrygptytpcgg.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596092 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = -3*a, -28 = -x + 5*x + 4*a. What is the third smallest value in -13, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*u + 17 = n + 108*u, 0 = -n - 5*u + 44 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -195*f**3 - 2*f**2 + 3*f + 37. What is the lowest common multiple of u(-3) and 7?\nAnswer: 36925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**5\/60 - 5*t**4\/8 - 22*t**3\/3 + 3*t**2 + 79*t. What is c(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2159910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16129575 by 5225.\nAnswer: -3087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40730, 81462, 122194?\nAnswer: 162926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.69 - 1.33. Let c = n + 0.02. Put -0.5, c, 5 in ascending order.\nAnswer: c, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzedzzzdzrzzzczdcz. What is prob of picking 2 d and 1 z?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 193927176 * 0.3\nAnswer: 58178152.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -753 + 778. Solve 5*j + 0 = p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 - 6 = 0. Let g = -3.98 + -0.02. Suppose -26*n + 22*n + 4 = 4*k, 5*n = k - 1. Sort g, n, z.\nAnswer: g, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -108*q**3 - 5*q**2 - 21*q + 28. Determine p(1).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 26 + 8)*(4 - 2*m - 4)*(1 - 1 - 3).\nAnswer: -198*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695 a factor of 616680567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147 divided by 49.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 39563.1 microseconds?\nAnswer: 0.00000045790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(500) + -4 + sqrt(500)) - sqrt(500) - sqrt(500))*-4 + -2)**2.\nAnswer: -5760*sqrt(5) + 128324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 957*g**2 - 1904*g**2 + 913*g**2.\nAnswer: -34*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154\/9*-1*164\/574?\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -84\/275 (b) 6 (c) -12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/765 and 79\/63.\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 3*h + 6*h + 55500015, -4*h + 44399980 = 4*p. Round p to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 + 26*d - 4. Let k be r(-7). Let z be ((-8)\/k)\/((-32)\/400). Suppose 6*x = z*x - 4. Which is the third biggest value? (a) x (b) -2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -827 + -1d1?\nAnswer: -a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**2 + 17*g - 29. Suppose -10*y = -9*y - 12. Is i(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 0*f + 2*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.3 (c) 0.1 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 9553 = -4*g, -2*g + 5909 = -4*p + 1125. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**2 - 1051540*d + 38901504 = 0. Calculate d.\nAnswer: 37, 262848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (81 + 56 - 50)*(-1 + 1 + 2*u) to the form s*u + x and give s.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 23*y**3 - 6*y**2 + 3*y - 3. Does 15 divide d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1164 - 1164 + 7*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9964.\nAnswer: 2, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13650*v**4 + 153356*v**2 wrt v?\nAnswer: -327600*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from sqqentc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvvrrtrttprrhrt. Give prob of sequence ttrh.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3260*l + 1010*l + 5597*l - 1263*l to the form c + x*l and give x.\nAnswer: 8604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4, 0, -0.1, 4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 232 + -214 - (-2 + 19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**6\/36 - 13*x**4\/24 - 11*x**2. Let f(c) be the second derivative of g(c). Let t(d) = 2*d. Calculate f(t(h)).\nAnswer: 40*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2740372722 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 71, 279, 485, 605, 555, 251?\n\"Answer: -14*h**3 + 83*h**2 + 57*h - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51859.6 - -51859.107693. Let m = -0.11 - -0.603. Let y = m + r. Round y to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 88010 = -13*q - 2*y, 3*q = 4*y + 52792. What are the prime factors of q?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -23?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -2\/15, 0.06, -0.5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 2)\/((-8)\/(-12)). Find the first derivative of 47*a**h - 47*a**3 + a**4 + 2 wrt a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -19*i**3. Let g be m(1). Let r = g + 17. Which is smaller: r or -5\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1210, -1215, -1224, -1237?\n\"Answer: -2*w**2 + w - 1209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 480 = 2*q. Suppose 5*t = 2*z - q, -2*t - 4*z = -4*t - 112. Let l = t - -48. Solve 7*s = l*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121122221 - -1?\nAnswer: 1121122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = z - 3750, 0 = 3*z + 6*d - 13*d - 11270. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32940 - 28516 = 2221*d + 51867 + 33263 for d.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1473703096 divided by 2.\nAnswer: 736851548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 - p**2 + p**2)*(0 + 0 + p) + 4*p**3 + 3*p**5 + p**3 - p**5 + 253*p**5 + 317*p**5 - 178*p**5.\nAnswer: 393*p**5 + 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k - 61. Let q be l(11). Solve 34 - 9 = q*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 - 0.4. Let i = 56.6 + -57. What is the smallest value in 0.4, b, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 49617.\nAnswer: 49616.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 27*z + 186. Is (3\/(-6))\/((-3 + z)\/(-3492)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 19*p + 457. Let a be z(11). Solve -3*f + 3*l + 10 = 4, 4*f = -3*l - a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9201749 is divided by 9201740.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**3 - 2*j**2 - 7*j + 4. Let d = -5 + 7. Let p(k) = -7 + 12*k + 7*k**3 + k + 0*k + 5*k**d. Let h(w) = -5*o(w) - 3*p(w). Give h(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 20562, 235 in decreasing order.\nAnswer: 20562, 235, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -1615672, -1 in increasing order.\nAnswer: -1615672, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 604148891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**2 - 4*u - 10. Let x be b(-4). Suppose -3*z - 4*g + x = 19, -4*g = 2*z - 46. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128576 by -5.\nAnswer: 128576\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, 19, 27, 35?\n\"Answer: 8*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19d (base 14) in base 8?\nAnswer: -517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2bb9aca0 - -2?\nAnswer: 2bb9aca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76395837 - -54482598. Let m = d - -21913239.9600107. Let l = -0.96 + m. Round l to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + l**2 - l. Let k(a) = 11*a**4 - 5*a**3 - 5*a**2 + 7*a. Let i(c) = 5*j(c) + k(c). What is the second derivative of i(r) wrt r?\nAnswer: 132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 7*a**2 + 4. Let o be u(-7). Suppose 4*s + 0*j = 4*j + o, -2*j + 19 = 5*s. What is the remainder when 9 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2488 - 2166*z + 6317*z + 3540*z wrt z.\nAnswer: 7691","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79496 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 771903.\nAnswer: 771903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17413386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4008, -9662, -16964, -25914, -36512, -48758?\nAnswer: -62652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c080 (base 13) to base 11.\nAnswer: -38387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 7*j - 10*j - 36, 10*t + 5*j = 60. Which is the closest to t? (a) 3\/46 (b) 3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 4*j + 12 = 0, 45 = 3*p + 4*j + 55 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8*(1 - (-39)\/12). Suppose -3*u + 5*s - z = 0, 8 = 4*s - 12. Let n be ((-4)\/(-6))\/((-179)\/1074). Do n and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4 + 211*m**3 - 8022*m**2 + 7384*m + 15616 = 0. Calculate m.\nAnswer: -244, -1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689 is divided by 45?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182608*w + 22*w**2 - 8*w**2 + 1 - 182608*w.\nAnswer: 14*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 250617209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 3:45 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020 + 1010221111102?\nAnswer: 1010221102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2085921 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(20\/(-16)) - (-13 + (23 - 9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1776*p**3 - 2*p + 3818.\nAnswer: -5328*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56137 is divided by 1311.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5155*f + 4. Let c(a) = -15467*a + 13. What is 4*c(l) - 13*d(l)?\nAnswer: 5147*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 85. Solve -j + 1 = v, -j + v - 5 = -f*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**4\/12 - 2*j**3\/3 + 3*j**2 - 2*j. Let d be c(5). Let q = d + 3. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (45\/4)\/((-9)\/(-12)). Solve -4*v - o + 20 = 0, 3*v + 10*o - d = 14*o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.13 - -18. Let r = x + -1.87. Put 0.1, r, 0 in descending order.\nAnswer: 0.1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (27 + 17) - -5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - 3*sqrt(70)*-2 - (sqrt(70) - (sqrt(70) - 1*(sqrt(70) + -2*sqrt(70)))))\/(sqrt(2560) - (6*(sqrt(2560) - -3*sqrt(2560)) + sqrt(2560))).\nAnswer: -sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6.8. Let g = s + -0.4. Let h be (-108)\/10 + (-220)\/(-300)*15. Put 0, g, -0.3, h in ascending order.\nAnswer: -0.3, 0, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490 and 11858?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - ((20 - -16) + -34).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/5 - 19976*z**2\/5 - 10011874*z - 178921620 = 0 for z.\nAnswer: -4985, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 104543278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33.9 + 34. Let r = 2378 + -2412. Put r, 0.3, x in descending order.\nAnswer: 0.3, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453673?\nAnswer: 11, 41243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-2\/11)))\/(u**(-6)*u)*(u*u*(u**(-2\/5)\/u)\/u*u*u)**(-21\/4) assuming u is positive.\nAnswer: u**(-197\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*i + 12*i + 6*i - i**2 + 6*i**3 in the form g*i**3 + d*i + c + v*i**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-19\/2)*t*t**(-15) assuming t is positive.\nAnswer: t**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1 + 1 + 10*t**2 - t - 1 - 2*t**2. Let w = 4 + -2. What is the remainder when s(w) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/7 + 333313*q\/7 + 7377070.\nAnswer: (q + 155)*(q + 333158)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1740 and 251550930?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8640361l in millilitres?\nAnswer: 864.0361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37492 - 165734 = -37*g. Is g 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 11026 and 1184?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*-4)**2 - (0 + sqrt(48) - sqrt(3)).\nAnswer: -3*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22936789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -13*f**4 + 4*f**3 + 41*f**2 + 4. Let h(l) = -14*l**4 + 3*l**3 + 40*l**2 + 3. Let c(z) = 4*h(z) - 3*s(z). Find the third derivative of c(u) wrt u.\nAnswer: -408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*sqrt(90)\/((sqrt(135) + sqrt(15))\/sqrt(3)))**2 + (sqrt(100)\/(-3*sqrt(5)))\/(sqrt(90)*-1).\nAnswer: sqrt(2)\/9 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 6799541?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 2*z = -215 + 25, 9*a - 3*z + 342 = 0 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/13 - 26084*g\/13 + 13142850\/13.\nAnswer: 2*(g - 12517)*(g - 525)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 828*p*x**2 + 9*p + 9*x**2 - 3*x + 26 wrt x?\nAnswer: 1656*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -62449, 0.2 in decreasing order.\nAnswer: 0.2, -0.5, -62449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**4 + s**3 + 2 + 0 + 2*s**4 - 3*s**4 to t*s + j*s**2 + r*s**4 + k + i*s**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -0.18308, -4\/7, 0.2, -3\/2?\nAnswer: -0.18308","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or -1510061.1?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21058861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0459098968 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 3:23 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 h, and 1 l when three letters picked without replacement from pppplaphhhphlplapplp?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 64, 293, 908, 2101, 4064, 6989, 11068, 16493?\n\"Answer: 32*m**3 + m**2 + 2*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-12)\/(-2))*(2514393\/2611)\/((-3)\/2).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8008 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (206 - 191 - (15 - -2)) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -3482\/28109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 143990\/56 - 3*3\/36. Suppose -3*c + g = 2*c - 3*o, -4*c = 5*o - 2042. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25520592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*k + l, l - 1 = 2*k - 6. Let o be (-6)\/4 + -1 + k. Factor 1 - o*p**2 + 1\/2*p.\nAnswer: -(p - 2)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357674 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + 3*c**2 + 4*c + 2. Let j be s(-2). Let u be j\/8*(-8)\/100. Do u and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155479529 + -69659927. Let z = u + -85819620.2000119. Let i = z - -18.2. Round i to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 320 - 21. Calculate the remainder when g is divided by (-93)\/(-155) - 494\/(-10).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 440, -1, 11, 13.\nAnswer: -2, -1, 11, 13, 440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10546331?\nAnswer: 10546331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 729 and 648.\nAnswer: 5832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36 - 256 - 69781*p + 5*p**2 + 69566*p.\nAnswer: 5*(p - 44)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 2:18 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 13*f + 21. What is z(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 0.01, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 9:01 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 4*k**2 + 4*k + 5. Let f be x(4). Suppose -18 = -15*d + f*d. What are the prime factors of -6*(3 - (-308)\/(-12) - d)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1906744.97 rounded to the nearest ten thousand?\nAnswer: 1910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1951210 and -23\/1756089.\nAnswer: 17560890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 15 (b) 0.5 (c) 2\/9 (d) 0.02 (e) 9\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 10*l + 8. Let z be n(6). Suppose z = -0*y - 4*y. What is the remainder when 3 is divided by (-9)\/y - (-2)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:13 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 6*f + 5. Suppose 3*x + 4*n - 23 = 0, x + n + 7 - 14 = 0. Let z be q(x). Which is bigger: -8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0086 - 9.\nAnswer: -8.9914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197663 (base 15) to base 11.\nAnswer: 777755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14786292853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 344140454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, i: 7, e: 4, a: 1}. What is prob of sequence ice?\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -4 + 28\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23 and 11\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14078 - -168107\/12. Let t = -69 - w. Do 0 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*k - 1700*k**2 + 13*k - 37 - 40 + 75 in the form p*k**2 + u + a*k and give p.\nAnswer: -1700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2. Let d(z) = -357*z**2 + 4*z + 2. Let n(s) = 193135*s**2 - 2166*s - 1083. Let w(i) = 1083*d(i) + 2*n(i). Give w(h(j)).\nAnswer: -361*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 303 (b) -5 (c) -4\/31 (d) -1004 (e) -1\/2 (f) -1\/5 (g) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t*t\/t**(1\/26))*t)\/(t**34\/t))\/(((t**11\/t)\/t)\/(t*(t**(-2\/63)\/t)\/t*t)))**(-41) assuming t is positive.\nAnswer: t**(2753027\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (78\/(-320))\/((-69)\/(-322)) and -61\/4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740533745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-89406)\/(-72) + 7\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 23. Suppose -3*c + 20 = c. Sort i, c, -1 in increasing order.\nAnswer: -1, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-35)*(-160)\/1. Calculate the highest common divisor of 32 and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 122 (c) -5795\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277023*93.\nAnswer: 25763139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 120755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t**2 + 5. Let z be f(-4). Let r = z + 91. Find the common denominator of -115\/12 and (-250)\/r - (13 - 10).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2135233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/7, -3.6, -1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1660681*v**2 + 351126*v wrt v?\nAnswer: -3321362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 7*r**2 + r - 9. Suppose -2*c - 561 = 4*p + 289, 0 = 2*c + 2*p + 856. Let z = c + 438. Calculate n(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187199023.\nAnswer: 11, 17018093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let v be (-1)\/(-7) + 205\/35. Let r(d) = 2*d - v*d + 0*d. Give r(n(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from wswwwnwrswrr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1701 and 1215.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 203369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 430\/(-40)*-4 - (0 + -2). What is the highest common divisor of r and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/4568 and 19\/5649474.\nAnswer: 22597896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/17 (b) -0.1 (c) 0.022 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z**2 + 14*z + 21. Let i(l) = -6*l**2 + 13*l + 16. Let n(h) = 5*d(h) - 6*i(h). Let w be n(2). Let u(v) = -v**3 - 2*v**2 + 4*v + 2. Give u(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**2 + 2*v**2 + 3*v**2. Suppose 0 = 5*d - 4*m - 10, -m + 5*m = 0. Let y(x) = -6*x**d + 4*x**2 + 3*x**2 + 0*x**2. What is a(y(c))?\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 37\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -10, 11, 1 in decreasing order.\nAnswer: 11, 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6899.\nAnswer: 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 605261700 to the nearest 1000000.\nAnswer: 605000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j - 5. Let x be s(5). Let z = -837 + 882. What is the highest common divisor of z and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23a (base 14) in base 5?\nAnswer: -3234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 329*p**2 - 232*p**2 + 96*p**2 to u + a*p**2 + y*p and give a.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1434939689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-3) + (-1440)\/270. Let v(x) = -6*x - 3. Let p(r) = r + 1. Determine q*p(n) - 2*v(n).\nAnswer: 8*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19000, 75983, 170954, 303913, 474860, 683795?\n\"Answer: 18994*g**2 + g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**4 - 805*g**3*u + 18*g**2*u + 15*g*u wrt g.\nAnswer: 24*g - 4830*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 9*p**2 + 7*p + 12. Let x be w(8). Is 37*(2 - x - -3) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*v)*(-4 + 4 - 2*v)*(-2 - 2 + 3)*(-3 - 4 - 8) in the form i*v**2 + z*v + r and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3689 + 1222. Let m be (-6)\/9*6 + (-9866)\/d. Let n = 185113\/108548 + m. Find the common denominator of n and -67\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42269.\nAnswer: 43, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/720 and -137\/3312?\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1211 in -0.03, 0.07, -1.48?\nAnswer: -1.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 + 2984277*y + 2984280 = 0. What is y?\nAnswer: -1, 994760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 10*k - 32 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4603 - -5098. Suppose 0*j - 2*j + 2 = 0. Suppose s = 44 + j. Calculate the greatest common factor of s and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119.47 + -94.47. Let b = 5.5 + -5. Put 1, b, n in increasing order.\nAnswer: b, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) 2 (c) -81 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - -2. Let z = 20 - s. Let g = -1438\/9 - -160. Which is the third smallest value? (a) -2 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - y - 4 = -4*c, -3*y - 42 = -4*c - 47 + 39 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-2) + (51\/12 - (2590\/56 + -58)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (967 - 967 + 231*u - 5*u**3)*(0*u + 3*u - 5*u)*(-2 - 1 + 0).\nAnswer: -30*u**4 + 1386*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 5) in base 3?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0*r - 3\/2*r**3 - 1\/60*r**5 + 6*r**2 - 1\/4*r**4 + 0. Solve k(l) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-58 - -36) + -8 - -62\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 3\/15497 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2979, -2980, -2981, -2982, -2983, -2984?\n\"Answer: -a - 2978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 0.4, -3, 2\/101, 3, 12, -0.33?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 + 0 - 80*w**2 + 0.\nAnswer: -75*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3273681320 to the power of 1\/2, to the nearest integer?\nAnswer: 57216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9\/16 - -31\/112. Suppose 8*p = 7*p. Which is smaller: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28024462 and 1706?\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (207*l**2 - 207*l**2 + 226*l**4)*(-l + 2 + 3 + 1).\nAnswer: -226*l**5 + 1356*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 * 0.03.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*p - 34 + 4, -5*p = -4*a + 45. Let t(y) = -16*y**3 + y. Let w be t(1). Let z = p - w. What is the highest common factor of z and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19834 - 2846 = -6*d. Suppose 32*o + d = 39*o. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16581485723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s**3\/4 - 2254665*s**2\/4 - 666141*s - 102483 = 0. Calculate s.\nAnswer: -68322, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3195931?\nAnswer: 197, 16223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -229917.\nAnswer: -2\/229917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0.07, 5, 3\/4, -6 in ascending order.\nAnswer: -6, 0.07, 1\/7, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9688)\/13321*363\/(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xll when three letters picked without replacement from lllllxlx?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 54b5b - -5?\nAnswer: 54b63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 11 = l + 60, 8*m + 3*l = 15*m + 281 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 - -0.32. Let g = -0.3 + h. What is the second smallest value in 3\/5, g, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 14*s**2 - 18*s - 32. Is l(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (800*y - 1782*y - 2256*y)*(-2 + 4 - 4).\nAnswer: 6476*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*v - 24 = c, -5*c - 5*v = 25. Let y(o) = -o + 10. Does 11 divide y(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 4, 3 in ascending order.\nAnswer: -137, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 66033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert e7 (base 15) to base 14.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9*-3*(-17)\/(-459)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 + 66*l + 48. Determine w(20).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 9 - 0. Solve -l*v - 4 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2 - 2103534*w + 18931887 = 0.\nAnswer: -2103543, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*g - 34*g + 17*g + 204 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1519 - 732. 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 next in 7152, 14276, 21400?\nAnswer: 28524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30028 - -63976. Is t a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 249, 974, 2175, 3846, 5981?\n\"Answer: -r**3 + 244*r**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14856\/64 + (-21)\/168. What is the highest common factor of z and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31460\/(-14520))\/(91\/(-3))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/3, 69, 3, 9, 0.06, 2\/11?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x - 2*x**4 + 3*x + x**3 - 3*x + 2 + 3*x**4 to the form a*x**4 + t + n*x**3 + i*x + z*x**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -49490 and -4032852433.\nAnswer: -4032901923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*w + 25*w + 32*w + 27*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 0*j**3 - 11*j**2 + 0*j + 25\/6*j**5 + 0 - 1\/12*j**4. What is the hundreds digit of k(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 265851152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 41*k**2 - 2*k - 2. What are the prime factors of j(-1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -17.4.\nAnswer: -17.4, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.12395653181+-5\nAnswer: -5.12395653181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 40. Calculate the remainder when 23 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -18*o + 3402. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*u - 126, -2*m + 38 - 179 = u. Let l = m + 80. What is the remainder when 44 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 0 + (687 - 664).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, j: 3, w: 2, f: 10}. Give prob of sequence nfn.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from iideieizidiizie.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siuev. What is prob of sequence vse?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000304840267 to 7 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117*z**5 - 7*z**4 - 3*z**3 + 6649*z**2 - z wrt z.\nAnswer: 7020*z**2 - 168*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10362 - 781. Round s to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 q when four letters picked without replacement from {q: 3, l: 5, s: 2, w: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1494504 divided by -72\nAnswer: 20757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(119)\/(sqrt(28)\/sqrt(4))) + sqrt(51)\/sqrt(3)*-3 + sqrt(17).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -19. Let w be 9\/(-6) + (-13)\/(-2). What is the second derivative of f*h - h - 8*h**2 - 2*h + w*h wrt h?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.71 - -2.29. Let g be ((-3)\/(-15))\/(1 + -2). Which is the closest to 0? (a) 4\/3 (b) g (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121220122030 (base 4) to base 16\nAnswer: -66868c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -4*q + 22, -28*k + 30*k - 3*q = -11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0307906496 + 44.\nAnswer: 43.9692093504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113839\/14456 - 1\/7228. Which is the nearest to k? (a) 5 (b) 3 (c) 1\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-16)*x)\/(x**(1\/5)*x))**(1\/52) assuming x is positive.\nAnswer: x**(-19\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 4. Let z be o(0). Let j = 29 + z. Let k = j - 13. What is the lowest common multiple of k and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3897950 divided by -3010.\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12\/35 - -244\/105. What is q in s*q - 2\/3*q**2 - 8\/3 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -2*y + 0 + 0*y**2 + 1\/12*y**4 - y**3 + 1\/120*y**5. Let l(t) be the second derivative of s(t). What is l(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23685.\nAnswer: 3, 5, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 21*j + 4. Let a(s) = -4*s**2 - 23*s - 5. Determine -2*a(x) - 3*c(x).\nAnswer: -x**2 - 17*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 782*y - 13002 - 29638 = 193*y + 18616 for y.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 86450083 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**3\/6 - 6*o**2 + 37*o. Let r be l(14). Solve r = -3*y + 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.39381 - 0.01381. What is i rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) - (-2*sqrt(68) + -2) - (sqrt(68)*3*4)**2 - ((sqrt(68) - (sqrt(68)*2 - sqrt(68))*2)**2 - 4*1*sqrt(68)).\nAnswer: -9858 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53658.\nAnswer: 2, 3, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 + 0*c**2 - 6*c**2 - 11*c**2 - c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, -0.2, 2, 136, 175?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1778, 1708, 1528, 1184, 622, -212, -1372?\nAnswer: -2912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/16)\/((-4)\/72*3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -226*v + 17. Is d(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 220 = -1295*b + 1291*b, 15*b + 3*c = 846 for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*h**2*r + 10*h**2 + 55277*h*r + 213543355*r wrt h.\nAnswer: -26*h*r + 20*h + 55277*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**3\/12 + 25*l**2\/8 - 13*l\/2 - 131. Factor j(h).\nAnswer: (h - 1)*(h + 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n**3 + 4*n - 4*n)*(3*n - 2*n + 4*n) + (-2*n**3 - 1 - n + n)*(8*n - 12*n + 20*n + 2) in the form s*n**4 + v + m*n**2 + f*n + x*n**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -6. Let y = 0.8 + f. Let v = -29\/3 - -10. Which is the nearest to v? (a) -3 (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -13*t + 328. What is o(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 141*p**5 + 2127*p**4 - 2358*p**3 - 4728*p**2 - 384*p = 0.\nAnswer: -16, -1, -4\/47, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4292 + -8.08.\nAnswer: -5.6508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 572.\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7847 - -8123. What is the greatest common divisor of 36 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500579543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30222, -30193, -30146, -30075, -29974, -29837?\nAnswer: -29658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 - 5*l**2 - 34*l + 40. Calculate u(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.8 + -17.8. Which is the second biggest value? (a) 7 (b) -0.3 (c) -2 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*g + 12. Let k = g + -2. What is the derivative of 3*r + 2 - 2 + 3 - k wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 7*d**2 + 4*d - 4. Determine i(-6).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.601606 to one decimal place.\nAnswer: 59.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**3 - 6*u**2 - 15*u + 135. Let z(q) = -5*q**3 + 7*q**2 + 18*q - 136. Let p(y) = 6*i(y) + 5*z(y). Differentiate p(b) with respect to b.\nAnswer: -3*b**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 3*k**2 - k**2 - 1 + 6*k**2. Let n be j(-1). Which is smaller: n or 0.03?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612095*z**3 + 2366077*z**3 + 6714517*z**3.\nAnswer: 8468499*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011001111010101000100 (base 2) in base 10?\nAnswer: 5043524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-3))\/(4\/(-3))*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8138\/(-286) + (-438)\/803.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2111816716 and -69\/8.\nAnswer: 4223633432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7766462?\nAnswer: 2, 11, 353021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000090913915 rounded to seven decimal places?\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 10*s - 1. What is j(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -6. Suppose 25 = -k*r + 73. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + d384cb?\nAnswer: d384cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -32. Solve q*o + 2 + 13 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 100327, 55 in increasing order.\nAnswer: -1, 2, 55, 100327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - h + 4. Suppose -3*u + 16 = -5*u. Let g(l) = l**3 + 9*l**2 + 10*l + 13. Let s be g(u). Let b(x) = -5*x**2 + x - 5. Determine s*k(r) - 2*b(r).\nAnswer: -2*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 3. Let m be 3\/((18\/40)\/((-57)\/(-95))). Let j = -3 - -8. What is the nearest to -5 in g, j, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 26. Suppose 3*i - o = -7 + 106, -j*o = -3*i + 99. Suppose -2*m - i = -4*v + 3*v, m = 4*v - 132. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to 9600\/10973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-3)*55\/825?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 489 + -488.8379. What is m rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/8 - (-1)\/4. Suppose 2*i + s - 13 = 0. Suppose 1 - i = -4*z. Which is smaller: z or -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 8:26 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - 12\/(-1)) + -1. Solve 3*s = 3*n + s + 8, -n + 2 = t*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 3:51 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 6*f**2 + 138*f + 840. Calculate r(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 7798*w + 384497. Give g(49).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6463 - 325 = -399*j + 4384 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1031.2 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1740601.\nAnswer: 643, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -16.17?\nAnswer: 16.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 18 + (-2376)\/33.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48051611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -40. What is the derivative of -13*r + 11*r + 12*r + a wrt r?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 56*l**3 - l - 61. Let m(s) = 84*s**3 - 2*s - 92. Let t(x) = 5*m(x) - 8*o(x). Find the first derivative of t(n) wrt n.\nAnswer: -84*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 7*q**2 + 7*q + 6. Let z be g(7). What is the greatest common divisor of 22 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 484*a + 5657. What is b(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**5\/20 - t**4\/3 - t**3\/6 + 5*t**2\/2 - 14*t. Let w be a(-7). Suppose 6*n = 9*n - w. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 126 = -2*y. Is y greater than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 34 - 327 = 59 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2 + 7290*a + 13286025 = 0?\nAnswer: -3645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120559227 - -121669609.22. Let n = c + -1110371.72000043. Let q = n + -10.5. Round q to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i. Let l(z) = -109*z**2. Determine l(s(p)).\nAnswer: -1744*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -7.5. Suppose j - h = 0, 0*j - 2*h + 8 = 2*j. Which is the closest to -1? (a) z (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (391*u + 36 - 386*u + 42)*(10*u + 0*u - 3*u) as y + z*u + w*u**2 and give w.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*a - 359 - 362 + 1081 - 360.\nAnswer: -70*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75522314?\nAnswer: 2, 7, 139, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*c + 49432019 - 49432019 + 92*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16172, 17966, 22834, 32312, 47936, 71242, 103766?\nAnswer: 147044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7364\/122019 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -22241*f + 1653. Let d(z) = -11116*z + 826. Let r(l) = 5*d(l) - 2*x(l). What is the derivative of r(t) wrt t?\nAnswer: -11098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21532)\/(-10)*(6 + -1). Let i = -107557\/10 + y. What is the common denominator of i and -61\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 54 = -0*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12 - -18)*(-6)\/(-9). Differentiate -39*o - 12*o - 20 + o**v + 6 - 10*o wrt o.\nAnswer: 4*o**3 - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 68\/7 + (-2)\/(-7). Let v(y) = -239*y**3 - 58*y**2 - 4*y - 12. Let u(l) = 53*l**3 + 14*l**2 + l + 3. Let z(q) = -9*u(q) - 2*v(q). Determine z(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 + 165. Calculate the greatest common divisor of t and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 10:46 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57696182051 + 2?\nAnswer: 57696182053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k**4*z**2 - 16*k**3*z**2 - 6*k**3 + 158*k**2*z**2 - 3*k**2*z wrt k?\nAnswer: 96*k*z**2 - 96*z**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + k - 269 = 0, 4*u - 4*k = 17 - 85 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 5*v - 0*v. Suppose -2*u + v = 8, -5*z = 3*u - 18. Solve -28 = z*x - x - o, -5*x - 19 = 2*o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -139382901, -278765801, -418148701, -557531601, -696914501?\n\"Answer: -139382900*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/510)\/(63\/(-945)*-15*(-1)\/3).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**2\/2 + 135. Let q(r) = -13*r. Let y(t) = q(t) + 6*v(t). Let s(x) = -13*x + 1. Determine 6*s(g) - 11*y(g).\nAnswer: -g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 8*m - 5. Let p be n(7). Let o(g) = -7*g + 3. Give o(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 13*z**2 + 3 - 5*z**2 to c + k*z + y*z**2 and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7451 - 12462. Let b = n + 45149\/9. What is the common denominator of b and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.74, -2\/83?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (1224\/(-27))\/(2\/6). Is -133 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k**3 + 8*k**3 - 21*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 113647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + 4 - (24 - 26).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.2, 766544\/9 in ascending order.\nAnswer: -3, 0.2, 766544\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 4*l - 110 = 0. Let c = -13 - l. List the prime factors of 74\/9 - 2\/c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/9*((-4)\/(-3) - (-7704)\/540) - -11.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**5\/15 + 3*z**3\/2 + 14*z**2. What is the first derivative of n(i) wrt i?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 - 12*a - 8. Let g be s(-5). Let y(d) = -d - 1. Let i be y(-3). Calculate the highest common divisor of i and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 100 = -4*k, j + 4*j + 156 = 4*k. Let l = 51 + j. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 183.99718 - 184. What is a rounded to four decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 1207037070.\nAnswer: 1207037075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*m - 16*x, 9 = 3298*m - 3299*m - 3*x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 - 6.1. Let i = -6 - g. Let h = -0.3 - i. Which is the smallest value? (a) 3 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -365? (a) 3 (b) -4\/7 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 39082*v\/3 - 156424.\nAnswer: 2*(v - 12)*(v + 19553)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y - 1. Let n(g) = -21*g - 5. Let a(f) = 2*n(f) - 11*r(f). Suppose d - 5*q = -24, 1 = d - q + 9. Let u = 6 + d. Calculate a(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from coioocccijj. What is prob of picking 1 o, 2 j, and 1 c?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*r = 185*r + 1008. Let m = r - 441. Round m to the nearest ten.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 11:34 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7203*x**5\/4 - 19915413*x**4\/4 - 22362201*x**3\/4 - 2514267*x**2\/4 - 37341*x\/2 = 0 for x.\nAnswer: -1, -3\/49, 0, 2766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19762 (base 10) to base 16.\nAnswer: -4d32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -15320 > -15322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 12. Let h be p(-8). Let v(x) = -x + 4. Let k be v(h). Suppose -s + 4*s - 21 = k. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5386218 + -5.\nAnswer: 5386213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(-1*sqrt(1440) - sqrt(1440))*-1)**2 - (sqrt(2499)*1)\/(sqrt(120)\/sqrt(10)).\nAnswer: -7*sqrt(17)\/2 + 17\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*m - 666 = -3*m, -4*t + 4*m + 888 = 0. Let d = t + -152. Suppose -2*b = -4*b + d. What are the prime factors of b?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/5)\/(4\/40). Suppose 0*f + x = -4*f. Calculate the remainder when (f\/4)\/(1\/(-92)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -12*v**2 - 58*v - 32. Let q(l) = 4*l**2 + 19*l + 11. Let y(d) = -3*h(d) - 8*q(d). What is the units digit of y(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 12*x**2 + 12*x + 16. Suppose 0*c = 2*c + 22. Let i be v(c). Suppose -f - i*p = -29 + 6, 0 = 3*f - 2*p - 52. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 2*n. Suppose -10 = -3*h - n. Solve 5*u = -3*c - 14, -h*c = -0*u - u - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -5*d**4\/4 - 5*d**3\/3 + 34. What is i in s(i) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 7:33 AM?\nAnswer: 23","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71861392*c + 71861392*c + 2 + 51*c**2.\nAnswer: 51*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from llglllgllll.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*p**3 - p**2 - 138*p**3 - 163*p**3 + p**2.\nAnswer: -580*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 696479.1um in kilometers?\nAnswer: 0.0006964791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.294112 and -25?\nAnswer: -7.3528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 32626\/880 + 6\/(-16)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/4859764 and 127\/4859764.\nAnswer: 4859764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + 6 - (5 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-58)\/180 - 2\/(-9). Is -0.1 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 16725636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, -4, 0 in increasing order.\nAnswer: -4, 0, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 6:11 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - z + z)*(-z**4 - 3*z**4 + z**4) + 0 - 3*z**5 + 0 + 0*z**5 + 0*z**5 + z**5 - 2*z**5 + 0*z**5 + 0*z**5 + (z**3 + z**4 - z**3)*(-z + 0 + 0).\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28*(-65)\/(-910))\/(116\/(-4)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5. Suppose 3*m - 5 = s. Suppose v = 6*v + f - 55, 0 = -m*v - 3*f + 22. What is the remainder when 32 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**4\/5 - 788*t**3 - 184744*t**2\/5 - 135136*t = 0.\nAnswer: -41, -4, 0, 1030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18737827, -18737825, -18737823?\n\"Answer: 2*d - 18737829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1306 - 1091. List the prime factors of l.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101835222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (10 - (9 + -1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3218*-3.954.\nAnswer: -12723.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -24.05. Let t = -45\/74 - 33\/37. Which is the nearest to -1? (a) t (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -685, -1393, -2101, -2809, -3517?\n\"Answer: -708*l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2*q)*(1 + 0 - 2) - 11*q + 18*q + 5*q to r + v*q and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2690, -5406, -8122?\n\"Answer: -2716*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 6.12\nAnswer: 0.5508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in 14317, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 + 55*w**2 + 88*w + 286. Calculate l(-26).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 37, -1355, -1, -0.025?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, 11, 20, 29, 38?\n\"Answer: 9*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nviaxxxxunuunuxniinn. Give prob of picking 1 i, 1 x, and 1 a.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/18 and -31\/1966?\nAnswer: 17694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -899*f**2 - 38 + f**3 + 452*f**2 + 455*f**2 - 9*f. What is the hundreds digit of n(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(-3*(sqrt(152) - 3*-2*sqrt(152)))\/(1*(sqrt(88)*-4)\/sqrt(11)).\nAnswer: -105*sqrt(19)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*l = 47*l - 1052. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2668 = 4*y - 4*p, -3*p = 4*y - 2668. Let c = y - 456. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673.168 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 979520805 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22248*l - 93 = 22250*l - c, 2*l = -c - 83 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 5. Let l(w) = -4*w**2 - w - 4. Let m(q) = 11*q**2 + 2*q + 11. Let o be 6*(1 - 6\/4). What is j*l(n) + o*m(n)?\nAnswer: -n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-10)\/2)\/(-125)*(-2)\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/7)\/((-2)\/7). Suppose o*i - m = -9, -2*m + 8 = 3*i + 1. Let v = i - -9. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 6*a**2 + 2*a - 5. Let h be o(-5). Calculate the highest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3120 + 7001. Let i = 14675 + h. Let r = -8696 + i. What is r rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 3 = -u, 11 = -n - 4*u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*m + 8 = 0, -6*m = -2*m - 4. Let c = 36436 + -254148\/7. Let x = c + -130. Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111100110 + -100?\nAnswer: 111111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/5 of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*d - 2. Determine n so that 4*n + 3*n**d + 8 - n**2 + 4*n = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-320)*-5*-88.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-5 - -3)) + -1 - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**3 + 9*r**2 + 9*r - 8. Let z(w) = -w**3 + 4*w**2 + 4*w - 4. Calculate -4*v(h) + 9*z(h).\nAnswer: 3*h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z + z**3 + (-6*z**2 + 2*z**2 + 2*z**2)*(2 + 0*z + z + 0*z).\nAnswer: -z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69300 and 1188.\nAnswer: 207900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 3*w + 4. Determine u(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (8 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53044594 bigger than 53044613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-429)\/130)\/(18\/240).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i + 19*i**2 + 6*i - 5*i + 0*i - 18*i**2 - 2. Calculate y(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-36)\/4 + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 11*m + 3. Let k be o(-11). Put k, 0, -3, 2 in increasing order.\nAnswer: -3, 0, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/10)\/q**2*(q**2\/q)\/(q**4\/q))\/((q\/q**(-1\/4))**(-9))**48 assuming q is positive.\nAnswer: q**(5359\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*a - 118*a - 13550 = 0 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1393 and 1008?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwgwwbwwwwwwwwwwwwww. Give prob of sequence bg.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (65\/10)\/((-3)\/(-18)). What is the derivative of 13 - y*a + 16 + 12 wrt a?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-24)\/(-21) - (-2 - -2) and (-6)\/21 + (-1578)\/(-84).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -62*z - 5*z**2 + 65*z + 3*z**2 + 2388000. Let u be b(0). What is u rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-32)*(0 + -4). Suppose -5*t + 4*p + 14 = 0, 4 = -6*p + 2*p. Sort t, j, -1 in ascending order.\nAnswer: j, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 + 18. Let y be d(0). Let l be (-15)\/(1755\/y) + (-12)\/91. Which is the third biggest value? (a) l (b) -1\/5 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/705 and 43\/91.\nAnswer: 64155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8)*88\/(-11)*105\/(-35).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113*b**3*w - 23*b**3 - 7*b**2*w + 18*b**2 + 4*b*w - 84*w - 26 wrt b?\nAnswer: -678*b*w - 138*b - 14*w + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 270 + -125. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0526 to three dps.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112 - -114. Solve -4*y - 4 = 4*c, -d*c - 4 = -3*y - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-32))\/(3\/1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39232.\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 6. Let c be (-2)\/(20 + -2)*1. What is the second smallest value in -2\/7, c, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 54. Let t = y - 4. Does 12 divide (54 - -10) + (-4 - t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 22*l**3 + 98998*l**2 + 4982778*l - 453798 = 0.\nAnswer: -4449, -51, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14971769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**3*p**4 - 2*f**3*p + 220*f**2*p**4 + 81*f*p - 6*p**2 + p wrt p.\nAnswer: 72*f**3*p + 5280*f**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 8) in base 12?\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*o - 16*o**2 + 402*o - 13*o**2 + 0*o**2.\nAnswer: -29*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -186 + 189. Suppose 3*w = 13*w + s*w. Sort w, -2, -4, 5.\nAnswer: -4, -2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 723 - 723 - 212*d.\nAnswer: -212*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 17*p + 15. Let r be t(-16). Put 1, -2, r in ascending order.\nAnswer: -2, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 417087198 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 8. Suppose 2*v = j*u - 21, -3*u + 2*u = v. Is 125 - v*(-6)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Suppose -c*x + 30 = 4*z, -5*x - 2*z + 0*z + 43 = 0. Sort x, -3, -4.\nAnswer: -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/(-133) - 1144\/14. Let j = -64 - b. Let s = -12 + j. Solve -4*l - 4*v = 24, -3*l = -2*v + v + s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -182411 or 0.0972?\nAnswer: 0.0972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a week in minutes?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/15 + -6 + 34\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 4*g**2 - 7*g - 7. Let h = 12 + -7. Suppose 3*p = k - 9, 2 + h = p + 3*k. Let j = p + -3. What is t(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -b + x, -54 = 5*b + x + 2*x. Let k = b + 17. Calculate the highest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 55*c**2 + 48*c - 181. Is m(55) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3313 (base 9) in base 16?\nAnswer: -98a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(4\/62) - 0. Let p(k) = 3*k**2 + 20*k + 20. Let v be p(-7). Let q = h - v. Solve 3*o + 3*s - 12 = 0, -22 = -5*o - q*s - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 5:23 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-36) + 0 + 194\/(-84). Let k = v - -23\/14. What is the fourth smallest value in -0.04, k, -0.2, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**2 + 786*r - 1584 = 0.\nAnswer: -264, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -176126 - -310126. Suppose m + m = s. Round m to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - l**2 - l. Suppose 2*s + 7 - 9 = 0. Let y(q) = 4*q**3 + 11*q**2 + q. Let f(b) = s*r(b) + y(b). Let f(t) = 0. Calculate t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73606 and 988?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 929074171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 + -100110100100000001010?\nAnswer: -100110100100000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 7:02 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3. Let q = -1 + t. Are q and -1 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1789875486*v**3 - 2557598172*v**2 + 904616*v - 80.\nAnswer: 2*(7*v - 10)*(11307*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925566267?\nAnswer: 19, 53, 557, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1148396951\/960 + -1196247. Find the common denominator of v and -85\/672.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -402 - -3644\/9. Let f = y + -95\/36. Factor -1\/4 + f*b + 3\/4*b**3 + 5\/4*b**2.\nAnswer: (b + 1)**2*(3*b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*h - 183, 24*h + 3*p = 27*h + 189. Let k be -1 - (-78 - 1\/1). Let v = k + h. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**2\/7 + 45502566*b\/7 + 172540292715363\/7 = 0.\nAnswer: -7583761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 - 6*c + 4. Let k(z) = -4*z**2 + 5*z - 3. Determine 3*b(x) + 4*k(x).\nAnswer: -x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4643122963 to the power of 1\/5, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -689, -1349, -2001, -2645, -3281, -3909, -4529?\n\"Answer: 4*w**2 - 672*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5046823 micrograms to grams.\nAnswer: 0.0000005046823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 886424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3298 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -811, -3099, -6829, -11995, -18591, -26611, -36049?\n\"Answer: c**3 - 727*c**2 - 114*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 + 3*c + 19. Suppose 5*x = -0*z - z - 15, -4*x + z = 21. Let r(l) = -2*l**2 - 4*l - 20. Let b(k) = x*g(k) - 5*r(k). Solve b(f) = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708 = -9*c + 717 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*u**3 - 19448*u**2 - 712425*u - 6626250 = 0. Calculate u.\nAnswer: -1178, -75\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-80)\/30)\/((-12)\/18 - 2\/3). Let v = 6 + -2. Suppose 8 + 13 = v*h + j, 3*j - 3 = 0. Solve 3*q = -h*x + r + 30, x - 20 = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 0 + 9 - 3 + 29*q. Calculate the remainder when a(5) is divided by (14\/5)\/((-326)\/(-1630)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64318, -49413, -34508, -19603?\nAnswer: -4698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1119*l + 686*l - 158*l + 85*l.\nAnswer: 1732*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2421 or -2420?\nAnswer: -2420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3446 = -3*m - 626. Let l = 8 + -5. Suppose -f = l*f - m. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/140 and 101\/1850002?\nAnswer: 18500020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 85. Suppose -756 - 336 = -21*i. Is 33 a factor of c(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*l + 11. Let s(n) = n**3 + 7*n**2 - 2*n - 1. Let k be s(l). Suppose -5*d + k + 21 = 0. Solve -9 = -5*f + d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -306 - -316. Solve -5*u + 2 = -2*c, c + o = 3*u + 2*c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73505 - 73755 = -25*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2, 164230, -3\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112179461 to the power of 1\/2, to the nearest integer?\nAnswer: 10591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2095806.6 hours to days.\nAnswer: 87325.275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6737914l?\nAnswer: 673.7914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20252, 81002, 182252, 324002, 506252, 729002?\n\"Answer: 20250*z**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 0.105863?\nAnswer: 0.105863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4722 + -6?\nAnswer: -4728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p**2 - 17*p**2 - 3633*p**3 + 3632*p**3 - 19*p**2 + 61*p**2.\nAnswer: -p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/11 in 3\/5, -2\/5, 1, 2, 1.5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 27 - 4*g**2 - 8.\nAnswer: -4*g**2 - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -910, -3041, -6592, -11563, -17954, -25765, -34996?\n\"Answer: -710*r**2 - r - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -824256533 to the nearest 100000.\nAnswer: -824300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 503336272 and 1156?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/2))**42)**(-25)\/((r*r**(-1))**(2\/33)\/(r**(-2\/3))**(-39)) assuming r is positive.\nAnswer: r**(-1549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 8:21 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 4*o**2 + 25*o + 25. Let z be (-2)\/((6\/4)\/(54\/8)). What is the tens digit of i(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 811 + 7?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 329905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54112808, -108225611, -162338414?\nAnswer: -216451217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2288, -2162, -1902, -1442, -716, 342, 1798, 3718?\nAnswer: 6168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:14 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -34?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 82 + 68804?\nAnswer: 68886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 768, 1539, 2302, 3051, 3780, 4483, 5154, 5787?\nAnswer: 6376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + 2*l**2 - l + 9. What is the units digit of c(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*k - 3. Let w be k\/(-2) + 10\/4. Suppose -w*j = 4*b - 61, 3*j - 2*b - 96 = -5. Solve 5*i - j = -4*p, 3*p - 12 = -p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158195\/3 + 52731. Let s = -63\/2 + 33. Which is the biggest value? (a) 4 (b) p (c) 0.3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 1106\/27?\nAnswer: 1106\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from wjwowll.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 3. Suppose -l*j + 1350 = -j. Let x(y) = -j - 4*y + 270. Let c(k) = -k. Determine x(c(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(18\/(-4))*(172 + -175)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 3:01 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, y: 4, w: 8}. What is prob of picking 1 y, 2 w, and 1 f?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2\/93, 19.33, 0?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22832\/3681 + 8\/409. Let y = -6 + n. What is the biggest value in 0.1, -3, 2\/7, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192030.\nAnswer: 2, 3, 5, 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9855970.\nAnswer: 2, 5, 985597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 11*j - 32. Is q(16) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/14)\/(876\/(-511)). Find d such that -1\/3*d**2 - m*d**3 + 1\/3 + 1\/6*d = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, -18, -43, -78, -123, -178, -243?\n\"Answer: -5*z**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.8 - 9. Put -1\/3, l, 0 in increasing order.\nAnswer: -1\/3, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**2\/5 - 8544*g + 42724\/5 = 0.\nAnswer: -10681, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 12:40 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 15*t**2 - 7*t + 18. Let r be y(6). Let f = 1710 + -1176. Suppose -3*i = -0*i - m - r, 0 = -3*i - 5*m + f. What are the prime factors of i?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 2*y + 2, -5*n = -2*n - 4*y - 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**6\/360 - z**3\/6 + z**2. Let j(c) be the first derivative of y(c). Let m(u) = -8*u. Calculate m(j(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*k = 174, 0 = -4*v + 13*k - 16*k + 198. Solve 0 = -9*o - 0*o - v for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 15, -1 + 12 = -n + 4*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + a = 432. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 17. Suppose v*m - 2970000 = 6*m. Round m to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 164 - 3443\/21. Let f(k) be the third derivative of 1\/70*k**5 + 1\/420*k**6 + 1\/28*k**4 + 0*k + i*k**3 - 3*k**2 + 0. Find z such that f(z) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82581 divided by -105.\nAnswer: -27527\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 203?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w - 24. What is j(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -398 - -398. Which is the nearest to t? (a) -1 (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 5*f - 2*h - 57, -2*h = 3*f - 53. Solve f = w + 26 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 + -115. Solve 3*o - 5*r + 13 = -4, 2*o = -x*r - 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/9 (b) 0.2 (c) 1795\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, j: 2, m: 4}. What is prob of picking 2 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -s, -14*s + 5*b - 25 = -9*s. Let f(m) = m**3 - 2 + 4*m**2 + 0*m + 0*m. Give f(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + g + 1. Let r(h) = 14*h**2 + 12*h + 10. Suppose -3*d + 1 = -2, -5*l + 3*d = -37. Let t = -20 + l. Calculate t*n(j) + r(j).\nAnswer: 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(65)\/sqrt(5)*-6)**2 - (2 + sqrt(1300))**2.\nAnswer: -40*sqrt(13) + 10396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2*1\/2*1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-1) + (4658 - 4601).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3718208 divided by 5?\nAnswer: 3718208\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1287056341?\nAnswer: 5039, 255419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27975 and 24.\nAnswer: 223800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, m: 1, h: 1}. Give prob of sequence mjh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.127266, 18, 4 in descending order.\nAnswer: 18, 4, -0.127266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/10)\/(-1)*-6 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2966 (c) 31\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 931 - 924. Let b(q) be the first derivative of q**5\/20 - 2*q**4\/3 + 4*q**3\/3 + q**2 + 13*q + 13. Let a(j) be the first derivative of b(j). What is a(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1019 - 1770. Let c = -751.4 - h. What is the closest to 8 in -3, 2\/11, c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 4) to base 6.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121377.5t to nanograms.\nAnswer: 121377500000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 3851?\nAnswer: 3853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6802 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0177 - 4.6177. Let y = z - -4.2. What is the second smallest value in 1, 0.5, y, 25?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x + 2 - 1 - 1. Let o(k) = 3*k**2. Determine o(t(r)).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, 124.46, 58, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.2, -2\/5, 13386\/175, 2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 + -7 - -4 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569168 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + -111 - (-481 + 484 + (2 - 9)).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1125195, 2250387, 3375579, 4500771?\nAnswer: 5625963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-3*-6)\/(sqrt(48)*4).\nAnswer: 9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -208, 1, -0.4, 0.2, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 7*n**2 - 8. Let m = 1108 - 1108. Give l(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-270*c**3 - 4*c**2 + 268*c**3 + 3*c**2)*(0 + 2*c + 0).\nAnswer: -4*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*k + 41 = 0, 3*r - 32 - 29 = 2*k. Let o be (-2 - 304)\/(-3*(-8)\/(-12)). Let u = o - 106. What is the remainder when u is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59455 is divided by 38.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -63*g + 23. Let c(l) = -31*l + 12. Let i(j) = 7*c(j) - 3*v(j). What is the hundreds digit of i(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**3 - f**2 + f - 1. Let h be y(1). Suppose 0*d + 40 = h*d. Let k(q) = -15*q**3 + d*q**3 + 8*q**3. Calculate k(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7656 and 15114264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 4*s + 6 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -2\/53 (c) 2049 (d) 2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/3)\/m)\/(m*m**(1\/14)) assuming m is positive.\nAnswer: m**(-157\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5152986 divided by -1?\nAnswer: 5152986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -282\/5 < -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/1812918 and -17\/57?\nAnswer: 34445442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*g - 328638 = 1142734. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**5\/5 - 1017*u**4 + 5097*u**3\/5 + 15261*u**2\/5 - 5094*u\/5 - 10176\/5 = 0.\nAnswer: -1696, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -70380 times -24?\nAnswer: 1689120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 7. Let q be o(-5). Let r = 76.73 - 77.23. What is the smallest value in 0.1, q, -0.13, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204254524 (base 6) to base 9.\nAnswer: 6638607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 10 - 0. Suppose -4*v = -h*u - 320, 31 = 5*v + u - 362. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:04 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 11010?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 43*p - 1225. Let s be y(-7). Let r = s + 1540. Let 2\/9*d**3 - 10\/3*d**2 - 98\/9 + r*d = 0. What is d?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 301*o - 287*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, l: 5}. Give prob of sequence ccc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 4:48 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 1)*(-2*r + 2*r + 2*r)*(-20*r**2 - 5*r**2 + 0*r**2).\nAnswer: -200*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 1 + -2 - -6. Let z be (-12)\/(-30) + s\/5. Suppose h - 4*x - 2 = z*h, x - 24 = -2*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/14)\/l)\/l**(1\/3))\/(l*l**41)**(-3) assuming l is positive.\nAnswer: l**(5281\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(1\/(14\/273))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8213, 20951, 33695, 46445, 59201, 71963?\nAnswer: 84731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79\/123 - -1\/41. What is the third smallest value in 6, 1, c?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76291408 to the nearest integer?\nAnswer: 8734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-2))\/30*15\/10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 4:18 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18533*m - 18519*m = 28 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 3 + -2)\/(1\/11). Solve 5 = -f - i, -5*i - 6 - u = -3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-48)\/(-28))\/(-6) - (-9126)\/42. Suppose 3*u - 241 = -3*g + 374, -u + b = -5*g. What are the prime factors of u?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + -7 + 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 - 4*i. Let l(p) = -p**2 + 2*p. Suppose -5*q + 2*j + 16 + 10 = 0, 2*j = 2*q - 8. Let d(g) = q*n(g) + 14*l(g). Factor d(x).\nAnswer: 4*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 1)*1*26\/(-4). Is v > -94\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*x = 3*y - 3, -2*y - 2 = -4*x. Suppose 5*f + 10 - 240 = 0. Suppose 0 = y*w - f - 29. Calculate the greatest common divisor of 45 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -18*u + 35. Let t be l(17). Let p = -120 - t. What is the remainder when p is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y\/y**(-1\/8)))\/(y*y*(y*y**(-13))\/y)*(((y\/(y**34\/y))\/y)\/y)\/(y\/(y*y*(y*y**(1\/8)*y*y)\/y)) assuming y is positive.\nAnswer: y**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1*-2*(-49)\/(-833))\/2\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = -5*q - 0*c - c, 2*c = 2*q + 136. Let h = q - -132. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5738 is divided by 840.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*b - 159 + 3 - 86. Solve -3*j = -2*n + 9, -13*n + 17*n + b = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 235 = -14*a. What are the prime factors of a?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1627708?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -32*t**2 + 51*t - 132. Let c(d) = -22*d**2 + 34*d - 88. Let b(s) = 7*c(s) - 5*n(s). Is b(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126502*x = -126244*x + 4128 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v + 3*v - 4*v)*(4 + 1 - 4 + (-2 + 3 + 2)*(1 - 3 + 0)) + (-2 + 2 + 2*v)*(-1 + 0 - 1) - v - v + 3*v - 2*v + 18 + 0*v - 31.\nAnswer: -40*v - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**8\/1344 + n**7\/280 - n**6\/160 + n**5\/240 + 582*n**2 - 1. Factor l(v).\nAnswer: -v**2*(v - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54*d - 51*d + 361*d)*(0 + 0 - 2*d) - 4 + 3*d**2 + 4 to the form z*d**2 + f*d + u and give z.\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -6 + -5 + 8 + 5 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.59634 and -0.5.\nAnswer: -1.09634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 12.7. Which is the nearest to -0.2? (a) -3 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*j - 70 = -138*j + 141 + 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143 by 8005.\nAnswer: -143\/8005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 2:36 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a decade in months?\nAnswer: 1224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 0.44 (c) -9 (d) -4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -17. What is the third smallest value in -5, 7, d?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86088?\nAnswer: 2, 3, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/10 and (1\/20)\/((-177)\/(-26255)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2582 and -2582 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6579\/92 or -71?\nAnswer: -6579\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(60\/(-8))*9\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*p. Let y be (-4)\/4 - (p + -1). Let v = y - -12. Solve r - 3*t - 1 = 5, v = 3*r - 3*t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40497 (base 13) in base 12?\nAnswer: -566b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -1908418.11?\nAnswer: -190841.811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1800 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8621325?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7 = -2*q - 2, q - 5 = -3*k. Suppose 0 = q*l - 7*l + 80. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-30)\/3)\/10)\/(1\/(-2)*10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14575 less than or equal to 14578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/4))\/w)**17*w**(-6)*w**5*w assuming w is positive.\nAnswer: w**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**4*m*m**(-9)\/m)\/(m*m*((m*m\/(m*m\/((m*m*m**(-4)*m)\/m)))\/m)\/m)**(-3) assuming m is positive.\nAnswer: m**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 - 3 + 133*m**2 - 1186*m**6 + 3524*m**6 wrt m.\nAnswer: 280560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**3 + 62*l**2 - 12*l + 4463 wrt l.\nAnswer: 6*l**2 + 124*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 - 716 + 716.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/195 - (-160)\/(-195). Sort 58\/9, r, 5 in decreasing order.\nAnswer: 58\/9, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 - 2*d**2 + 13. Let u(v) = -v**3 - v**2 - 1. Give -c(x) + 2*u(x).\nAnswer: -4*x**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 110*c + 273. Let g(h) = 83*h + 275. Calculate 4*g(n) - 3*v(n).\nAnswer: 2*n + 281","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/24 < 1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 1939?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5\/3 (c) 164 (d) -4 (e) 2 (f) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-4)\/42)\/(33\/(-297)*44).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62129 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32191\/17 + -1895. Let w = -31\/34 - m. Find k, given that w*k - 1\/2*k**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**0*b**1*(b**4*b)\/b*b**(1\/3))**(-48) assuming b is positive.\nAnswer: b**(-304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - -7. Is 27 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 279*r**4\/8 - 2206*r**2. Let c(h) = h. What is p(c(v))?\nAnswer: 837*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 + 4*g**3 - 4*g**3 + 2*g**2 + (-2 + 0 + 0)*(7*g**3 - 4*g**3 + 0*g**3).\nAnswer: -5*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -913\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 4*k - 10. Let b be w(-6). Suppose 0 = s + b - 5. What are the prime factors of 64 - (3 + s + -4)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 = 0, 4*h + 3*c - 19 = 4*c. Let z = -7 - h. What are the prime factors of ((-183)\/z)\/(((-15)\/(-12))\/5)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 - 68*s**2 + 507*s - 29. What is a(7)?\nAnswer: 874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09648687 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20606\/37 or 557?\nAnswer: 20606\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*n - 50, 3*n - 3 = 2*w - 5*w. Let j = 8 - n. Suppose 0 = -9*u - 17*u + 14*u. Solve -b + s - 8 = u, b + 12 = -4*b - j*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49 - 56*a + 28 + 24 - 6*a to the form y*a + l and give y.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 20\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2628219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1424 (base 5) to base 13\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 6*f - 2. Let j be 3\/(((-6)\/f)\/(-3)). Let v(k) = k**3 + 7*k**2 + 7*k + 9. Let p be v(-6). What is the highest common divisor of p and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 19. Suppose 2*c - 52 = 5*r, 2*r + 75 = 3*c + 19. Let v be a(c). Let s be -1 - ((-98)\/126)\/((-2)\/(-12)). Is s <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 11. Let p be h(8). Suppose 2*o = -b + 11, -4*b + 0*b = p*o - 24. Find the second derivative of -2*m**4 + 0*m**o + 3*m**4 - m wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.27 and 0.2.\nAnswer: -0.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 36, 0.3 in increasing order.\nAnswer: 0.3, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -7. Let q = 5 + m. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12111 (base 5) in base 4?\nAnswer: 32022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*y**3)*(13200*y + 11688*y - 16490*y).\nAnswer: 16796*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/1427 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3252 = 3267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -0.5, 54, 2, -1\/12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 94276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 16*g = -68. Let q = 21 + g. Let c(j) = -2*j**2 - 6*j + 2. Let t(i) = i**2 + i - 1. Let l(o) = c(o) + 3*t(o). Calculate l(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 145 or -174674?\nAnswer: -174674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490758191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 1 - (-1 + -6). Let y = 20 + -17. Let i(z) = -y + z + 0 + h. Let u(w) = 1. Determine i(v) - 2*u(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 841711*j**5 + 201292*j**2 + 1 wrt j?\nAnswer: 50502660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-35)\/(-135) - 1\/1\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c0b (base 15) in base 9?\nAnswer: 18542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 12:10 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18096 - 12) + -4)\/(1\/875). Round u to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from {p: 1, r: 2, w: 8, n: 1, u: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + (sqrt(684) + 0 + sqrt(684))**2 + 1)*-2 + 4)*-2.\nAnswer: 32776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 9*x - 10 = 4*x, 5*d - 8 = -4*x. Suppose -5*w + d*w = -55. Suppose -849 = w*l - 2378. Does 43 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 78173000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 17 = 3*x, 24 = 4*v - x - 0. Suppose 3*f - 1757 = -3*o - 2*o, -5*f = v*o - 2925. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14903*y + 236192 = -836824 for y.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 49*f + 129. Let c(y) = 146*y + 366. Let a(w) = -6*c(w) + 17*n(w). Determine a(-2).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -7*a - 2*a**2 + 1\/3*a**3 + 3. Give k(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {u: 6, n: 2, l: 1, d: 4, q: 1, s: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from nmpmonmnnjnlm.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-336)\/392*210*(-3)\/12?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 101321 (base 4) to base 7\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -290 at most as big as -1339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -750*f**3 + f + 94 wrt f?\nAnswer: -4500*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 21 = 3*i - 5*i, 0 = -5*i + 2*t + 24. Let j be (-17)\/(-4) - i\/(-8). Let m = j - -8. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2796.571 + 2759.6. Let s = -36.919 - 0.081. Let v = a - s. What is v rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2443017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*c + 18, -4*q + 0*c + 18 = -2*c. Suppose u + 2 = 3*p, -3*p + q*u + 10 = 4*u. Let d be (-8)\/48*-12*(3 + -1). Solve 2*g = -p*g - d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -298 + 300. Which is the closest to 2? (a) 0.1 (b) 0.04 (c) -0.3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/c)**(26\/5)*c**(-4\/7)\/c*c*c**(-17\/3) assuming c is positive.\nAnswer: c**(-1201\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 93*t**4 - 4*t**3\/3 + 2*t**2 - 2*t - 225. What are the prime factors of i(1)?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (95 + -3)\/4 - (1 + -4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19152722 by 701.\nAnswer: -27322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65216502 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 12, -0.32, -1\/2?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 436 = -42*a - 75*a. Solve 9*x + 4*w = 10*x - 7, -5*x - a*w - 13 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*c + 3*c = 30, 0 = -3*l + c - 82. Let v = l + 30. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -t - 2*y, -13162*t + 7*y = -13158*t + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*w - 275*w = 45*v - 45, -v + 1 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + (-306 - -100 - -75)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61971618 and 38379.\nAnswer: 3489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559564 is divided by 650?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21061 - -131?\nAnswer: 21212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*j - 12*j - 256. Suppose -5*z = 2*y + j, -2*z - 842 + 244 = 5*y. Does 17 divide 3\/6 - y\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 349*c**2 - 28367*c + 426. Calculate f(-129).\nAnswer: -1251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.00000172 - 13. What is d rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8073 and 193913460.\nAnswer: 8073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -2.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 286104, 572289, 858628, 1145199, 1432080, 1719349, 2007084?\nAnswer: 2295363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-2) + 0*(-4)\/12 + (-527760)\/(-85028)?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -1 - (39 - -20 - 32 - 19)) + 74.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 415, 718, 1013, 1300?\nAnswer: 1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/29005 + 6062051\/87015. Which is the closest to -1? (a) m (b) 2\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 649.284 + -651. Round f to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-28)\/35)\/(2\/(-10)). Find the first derivative of h + 2 - 3 + i wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -8914, 4\/5, -4\/29?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 23 = -35 - 36. Suppose -p = l - 0 + 1, -l - 4*p - 4 = 0. Let d(n) = l*n**2 - 7*n - 3*n**2 + 2*n**2 - 4. Determine d(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -8*k + 4*k - 17, 2*x + k = -5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-1)*160\/(-12). Suppose o + 4 = 0, c + 3*o = 3*c - r. What is the smallest common multiple of 5 and 1*(c\/2 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10476, -2, 5, 1, 26.\nAnswer: -2, -1, 1, 5, 26, 10476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -669572 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -20228*p - 40517. Calculate f(-2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30371 + -3?\nAnswer: 3036a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(11) + -1*sqrt(704) + sqrt(704) + (sqrt(396))**2*5.\nAnswer: sqrt(11) + 1975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1554583, 7, 3 in descending order.\nAnswer: 7, 3, -1554583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + 0*2\/2. Suppose 0 = -p + 4*p. Suppose -35 = -4*l - b*v, -4*l + l + v + 12 = p. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*q - 852 + 56 = -94*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3 + 70255*s**2 - 1233976383*s + 1233906129 = 0.\nAnswer: 1, 35127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/2)*i*i**(1\/5))**(-24) assuming i is positive.\nAnswer: i**(-204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*m - 216 = 189*m - 115*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*f*x**2 - 86*f*x + 185*f + x**4 + 4732*x**2 + 3 wrt x.\nAnswer: 44*f + 12*x**2 + 9464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 37416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 28*q + 3. Let i be j(-14). What is the derivative of 5 + i - 3*f + 1 wrt f?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 424 = -4*r, -2*r - 338 = 2*j - 5*j. List the prime factors of j.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/936738 and -37\/276?\nAnswer: 43089948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/3)\/(106\/(-318))*(-9)\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(288) + -4 - sqrt(288))*1*1 + -5)*-6.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f + 5. Calculate the least common multiple of w(-9) and 8.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -6.3. Let w = 9.12 - 0.12. Let h = w - 5. Put h, s, -1 in increasing order.\nAnswer: -1, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*f - 566*f + 2508 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1941*b - 4 + 911*b + 885*b to the form s + j*b and give j.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 114020.34 minus -0.05?\nAnswer: 114020.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 135*c**3 + 6*c**2 - 16*c + 28. Is h(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*d**3 + 13 - 25 + 12.\nAnswer: -150*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-3\/11)*v))\/v**(-2\/9))**(-15\/7) assuming v is positive.\nAnswer: v**(-35\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*g + 52*g = -11*g + 135*g + 13440 for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -97020, -194047, -291074, -388101, -485128, -582155?\n\"Answer: -97027*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9456223*z**5 + 2*z**4 - z**3 + 2*z**2 - 823143*z + 2?\nAnswer: -567373380*z**2 + 48*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fj when two letters picked without replacement from {r: 9, t: 2, j: 4, f: 1, k: 3}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - (-2 - 2) - (3552 + -3591).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29595 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 - 4*h**2 - 3*h**3 - 2*h**3)*(-3*h - 4*h + 5*h) in the form y*h + o*h**4 + d*h**3 + n + v*h**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-139*c + 0 + 162*c + 1)*((3 - 3 - 3)*(c - 5*c + 5*c) + 986 - 986 - 22*c) in the form b + p*c + u*c**2 and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 20, 1, -41 in descending order.\nAnswer: 20, 1, -3, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 252369.746 and -360.7.\nAnswer: 252009.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38364 and 644?\nAnswer: 268548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7823, -7851, -7905, -7985, -8091, -8223, -8381?\nAnswer: -8565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6231 (base 8) in base 11?\nAnswer: -2472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - 2 + 3*q**4 - 2*q**4 - 13*q + 12*q in the form h*q**3 + l*q**4 + w + s*q**2 + b*q and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 0 - (17 + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 15, -3 in decreasing order.\nAnswer: 15, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1826374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 2 + 15 - 2)*(493 + 0*d**3 - 3 - d**3) in the form x*d**4 + f*d**3 + q + z*d + n*d**2 and give q.\nAnswer: 7350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**2\/4 + 2245*l\/4 - 56203\/2 = 0?\nAnswer: -2294, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 771 and 12909367.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*j. Suppose j = 3*f - b - 3*b - 50, -3*b = -4*f + 55. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15317.1 and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adaddaaaafaydyaaafa. What is prob of picking 1 y and 2 a?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 519 - 1017\/2. Let d = b - 353\/34. What is the closest to -3\/14 in d, 0, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545743 is divided by 144.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2 - 6392*c - 4528842 = 0.\nAnswer: -597, 3793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176995 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*b**5 - 121*b**3 - 1109*b**2.\nAnswer: 720*b**2 - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0.0582, -241 in increasing order.\nAnswer: -241, 0.0582, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 570 and 860776.\nAnswer: 12911640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-34))\/((-104)\/((-205088)\/(-116)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -6. Suppose j = 2*s - 55, q*s + 5*j - j = 157. Suppose -30*f + 20 = -s*f. Calculate the highest common divisor of f and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-976)\/1120 + (-1)\/(-14).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78 or 13976?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -1020001*v**4\/24 - 4*v**3\/3 + 10*v**2 - 5. Let x be n(-8). What is x rounded to the nearest 100000?\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-2 - (1 + 4)). Let i(f) = f**3 + 11*f**2 + 6*f - 39. Let w be i(r). Solve m = w - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 6*r + 3. Let j be f(4). Let x = 68 - 66. Sort -1, x, j.\nAnswer: j, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/(-11)*20\/(-8). Solve 0 = p*y - 13*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 9*h + 22. Let p be a(5). Suppose l + 4*t = 8, -5*l - 86 = -9*l + p*t. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*g - 1245 = 9*g, -2*p = -g - 835. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 3:08 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 5:05 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19421*i**2 + 2*i - 19372*i**2 - 2*i.\nAnswer: 49*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2 - 179211*k + 15211260 = 0. What is k?\nAnswer: 85, 59652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.5842637 days?\nAnswer: 50480383.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -762344\nAnswer: 22870.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1 - 7 = -2*i, 0 = -2*i + 3*o + 20. Let f be (-586)\/i - 2\/7. Let z = -51 - f. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1240367614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/585 and 19\/2340?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1596 and 1077241746?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 24*q - 42. Let w be (-12 - -11)\/((-43)\/(-22) + -2). Let y be p(w). Let u(b) = -65*b + 2 - 1 - 7*b**y + 66*b. Determine u(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a + 4. Let j(u) = 7*u + 7. Let o(x) = -3*j(x) + 5*w(x). What is the lowest common multiple of o(-2) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -1. Suppose -14 = t*h - 4*f, -19 = 4*h - 7*f + 2*f. Let d(u) = 6*u**2 - 2*u - 1. What is d(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-432)\/(-270)*15\/(-241). Is -1 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-54 - -54)*(0 + -1). Suppose b = -0*x - 4*x + 4524. Is 37 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.05, -3, 0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 751265*d**6 - 7598*d**2 - 15?\nAnswer: 90151800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -159 - -165. Let o be 2\/(12\/f) + 3. Factor -15\/7*y**3 + 0 + 27\/7*y**5 + 3\/7*y**2 + 9\/7*y**o + 0*y.\nAnswer: 3*y**2*(y + 1)*(3*y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7 and -77994683865.\nAnswer: -77994683865.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**5\/10 - 19*n**3\/3 + 3*n**2 + 6*n + 3. Let z(v) = -2*v + 6. What is i(z(o))?\nAnswer: 24*o**2 - 144*o + 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 202711\/12 - 16904. What is the common denominator of s and 12180\/(-960) + 16*1?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88\/7 - 9437\/63. Let n = -137 - d. Determine v, given that -n + 2\/9*v**3 + 2\/9*v**2 - 2\/9*v = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294372 divided by -68.\nAnswer: -4329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8304 + 8304 + 305*y)*(-70*y**3 - 65*y**3 - 47*y**3 - 24*y**3) in the form d*y**4 + b + v*y**2 + m*y + f*y**3 and give d.\nAnswer: -62830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4807 + -62489\/13. Let v(t) be the first derivative of -12 - 2\/13*t - 3\/13*t**2 - g*t**3 - 1\/26*t**4. Factor v(i).\nAnswer: -2*(i + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 - 32*p**2 + 30*p**2 + 21*p + p**4 to y*p**4 + w*p**3 + c*p**2 + l*p + f and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -5.8\nAnswer: -5.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -8\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 89*z - 47. Let o(r) = -179*r + 91. Let h(x) = -11*a(x) - 6*o(x). Find the first derivative of h(q) wrt q.\nAnswer: 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/341180 and 1\/341180.\nAnswer: 341180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 18279.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33, 158, 499, 1164, 2261, 3898, 6183, 9224?\n\"Answer: 18*j**3 - j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-5\/4)*y)\/(y\/(((y\/(y**(-4)\/y))\/y)\/y*y)))**(2\/35)\/(((y\/y**(-1))\/(y**(-1\/7)*y))\/(y**(5\/4)*y*y\/(y\/y**(1\/4))*y)) assuming y is positive.\nAnswer: y**(92\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(72) + 1) - (-5*1*sqrt(72) + sqrt(72) + 2*sqrt(72) + 4))**2.\nAnswer: -36*sqrt(2) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-81)\/(-3) - -1 - 4. Suppose 6*t = 5*u + 4*t - 18, 4*t + r = 4*u. Let k be 6\/4*(-20)\/330. Sort -4, k, u in descending order.\nAnswer: u, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 3*y - 3. Let t be x(3). Let q = -110031\/10 - -10994. Find the common denominator of (89\/t)\/((-44)\/(-33)) and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - o + 3 + (1 - 4 + 5)*(2*o + 3*o - 7*o) - 2*o - 2*o + 3*o + o + 1 - 1 + (5 + 0 + 0)*(6*o + 4*o - 6*o) as q*o + m and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44c8c - -5?\nAnswer: -44c87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102001201010211 + 11?\nAnswer: -102001201010200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 891 + -867. Suppose f - 5*x = 28, -f + 0*f + d = -4*x. Solve k + 7*k = f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -62 + 2. Let b = v - 11. Which is smaller: -0.1 or b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (72\/10 + -2)*5. Suppose -154*l + 92 = -150*l. Let b = g - l. Solve -k - 3*d - 4 = 0, 0*k - b*d - 1 = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -106*q**3 - 5*q**2 - 11*q - 213. Let z(o) = 54*o**3 + 3*o**2 + 6*o + 105. Let v(a) = 3*f(a) + 5*z(a). What is the first derivative of v(t) wrt t?\nAnswer: -144*t**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**2 - 70 + 9*h**2 + 0*h - 5*h. List the prime factors of f(11).\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2\/5, 0.12, -11\/4 in ascending order.\nAnswer: -8, -11\/4, 0.12, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-220)\/(-198) - (4650\/54)\/5\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 3\/2, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 6*j**2 - 2*j + 9. Let z be i(6). Let a(l) = -33*l - 3. Let v be a(z). Suppose 3*r - 2*t - 74 = -6*t, 4*t - v = -4*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from qrrrqrqrrqr.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 649 - 647. Sort -1, -5, m, -6 in descending order.\nAnswer: m, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2\/9, -8, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12807786 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 1 + 142. Let l = q - -57. Suppose -l*x + 365 = -5*x. What are the prime factors of x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sigsissieisiisii. What is prob of sequence ise?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1222 + 1231.49. Let a = s - 9.6. Let i = 0.06 + 0.24. Is a < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40)\/(-24) - (-4 - (-33)\/9). Let t(p) = 2*p**2 - p. Let k be t(-1). Solve -k*v - 12 = -j*i, -20 = 5*v - 5*i - 0*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a second in milliseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.64 - 0.74. Let r = 9.1 - x. Are 37 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2450151 (base 7) to base 5.\nAnswer: 40031431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7401, -59064, -199279, -472320, -922461?\n\"Answer: -7379*r**3 - 2*r**2 - 4*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.004, 0, 0.2, -0.04.\nAnswer: -0.04, 0, 0.004, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssarpppsrpposspp. Give prob of picking 1 o, 1 a, and 2 p.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -90004.07 to the nearest one thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 466 - 1738?\nAnswer: -1282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46195 (base 11) to base 12.\nAnswer: -32787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - 8*i - 6. Let c(t) = 3*t**2 + 8*t + 7. Let w(d) = -5*d + 2. Let m be w(2). Let l = m + 4. Let p(n) = l*c(n) - 6*r(n). Factor p(a).\nAnswer: 2*(a + 2)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 11) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 281165861 divided by 4\nAnswer: 281165861\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 37 = 13*c + 14 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 6:35 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b - 8*b - 5*b - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = 10. Let h = -3 - d. Solve 0*w + w - 15 = -h*g, 3*g + 5*w + 10 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383094?\nAnswer: 2, 3, 21283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138356*l**2*t**3 - 2*l**2*t - 973*l**2 + 71*l*t**3 + 55*l*t - 6*l - 1 wrt t.\nAnswer: -830136*l**2*t + 426*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/sqrt(3))**2*6 - ((sqrt(14)\/sqrt(2))**2 + 5)*3.\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 11 = -3*x, l = x - 0*l - 3. Sort -4, x, -2\/7, 0.1.\nAnswer: -4, x, -2\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**5\/4 - 11*o**4\/4 + 109*o**3\/4 - 289*o**2\/4 + 75*o - 27 = 0?\nAnswer: -18, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3223\/2760 + -72\/115. Find the common denominator of n and 2\/3195.\nAnswer: 25560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 296960.\nAnswer: 296960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.9996961 years?\nAnswer: 0.0009996961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -309, -668, -1159, -1776, -2513?\nAnswer: -3364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 6*i**2 + 0*i**2 - 4*i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 748664221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*1 + (3 - -32 - 2). Suppose -5*f + 0*p + 157 = p, -f + i = -p. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14070 - 4.\nAnswer: -14074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0*p**3 + 0*p + 2*p**2 + 0 - 5\/12*p**4 + 1\/12*p**5. Factor l(v).\nAnswer: 5*v*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61*b - 144*b - b - 29*b)*(1 + 0 - 2)*(-5*b + 4*b + 3*b) to the form w*b**2 + j + y*b and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:24 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eww when three letters picked without replacement from whweh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + 1 + -6*(sqrt(300) - (5 + (sqrt(300) - 2*sqrt(300)) - sqrt(300))))**2 + -4.\nAnswer: -11520*sqrt(3) + 98217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r*r\/r**(2\/33))\/r*r*r)*r**(-10))**(-15\/2)\/(r**(1\/3)*(r**(-6)*r)\/r)**13 assuming r is positive.\nAnswer: r**(11267\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4348.2 and -8.\nAnswer: -34785.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**3\/2 - 31*c**2\/2 + 39*c. Give o(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/2))**(-1\/40)*c\/(c**1\/c*c)*c**3)\/((c\/c**5)\/c*c\/(c\/(c**(3\/2)\/c))*(c**(-1))**(2\/15)) assuming c is positive.\nAnswer: c**(1829\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 2, j: 1}. What is prob of picking 2 e?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/139 and -85\/1542?\nAnswer: 214338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 1, z: 3, k: 5, v: 3}. Give prob of picking 2 k.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1112 (base 3) to base 8\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6004.66789 to 1 dp.\nAnswer: -6004.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, u: 2, y: 1, d: 1}. Give prob of sequence yhu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-1)\/(2*17)). Let a = -222 - -186. Let f = y - a. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, -62.2, -1.7, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 301585590.3 + 0.1\nAnswer: 301585590.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**25\/(y\/y**(3\/5)) assuming y is positive.\nAnswer: y**(123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -99172, -99142, -99090, -99016, -98920, -98802?\n\"Answer: 11*s**2 - 3*s - 99180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -450*k**5 + 2940*k**4 - 5522*k**3 + 4152*k**2 - 1248*k + 128 = 0.\nAnswer: 4\/15, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43959583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3322, -6844, -10370, -13906, -17458?\nAnswer: -21032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 83*t + 13. Let b(d) = -416*d - 64. Let k(l) = -3*b(l) - 16*g(l). What is the derivative of k(x) wrt x?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = -4*m - 0*t + 2*t, 3*m + t = 214. Calculate the greatest common divisor of m and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 13*t - 12. Factor 7*a - 11*a + 8*a + t*a**2 + 8 - 7*a**2.\nAnswer: -4*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 2\/11, -41, -1\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - 44.96. Let o = w - -29. Let m = -10 - o. Which is greater: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0 - 5 + 6*n**2 in the form d*n + f + w*n**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 11:15 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.3 (c) -26\/3 (d) 15 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -36786 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1273 - 1272. Which is the biggest value? (a) 0.5 (b) -5 (c) -0.3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + 4*t**3 - 5*t**3 - 106*t**3 - 42 + 1107*t**2 + 41 + 108*t**3 + (0 - 2 + 3)*(2*t**3 + 0*t**3 + 0*t**3).\nAnswer: 5*t**3 + 1107*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5274 + -2c?\nAnswer: 5245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 + (5 - 3 - -1) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1)\/((-6)\/(-72)). Let r(g) = -25*g - 10. Let w(x) = -138*x - 52. Let n(t) = 48*r(t) - 9*w(t). Let d(j) = -17*j + 5. Calculate f*d(p) + 5*n(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**4\/5 + 952*s**3\/5 - 11448*s**2 - 378144*s\/5 = 0.\nAnswer: -6, 0, 78, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369507822 a multiple of 686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (231\/308)\/(6\/64).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -223*g + 177*g + 585396. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.900183 and -0.5.\nAnswer: 1.4500915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162288*r - 161922*r - 6588 = 0 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11670435?\nAnswer: 3, 5, 7, 37049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 746004 divided by 4?\nAnswer: 186501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 17. Let z = 4.32 - 5.2. Let t = 0.38 + z. Which is the third biggest value? (a) 1 (b) p (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 53*i**3\/6 - 2*i**2 - 6*i. Let u be z(4). Find the common denominator of -57\/5 and (13\/u)\/((-1)\/(-50)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and (13 - 4\/1) + 1.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.3455 days in microseconds?\nAnswer: 17482651200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1122, 746, 108, -798, -1978?\n\"Answer: -o**3 - 125*o**2 + 6*o + 1242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 14\/(-49) + (-60)\/(-14). Suppose -3*r + m*w = -472, -4*r = 4*w - 160 - 488. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 7:39 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 17*o**2 + 16*o + 50. Let b be u(18). Suppose -b*n = -18*n - 3*w + 2268, -4*n = -w - 2268. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z**2 - 17*z + 4. Let l = 15148 - 15152. Let j(s) = 4*s**2 + 8*s - 2. Calculate l*a(q) - 9*j(q).\nAnswer: -4*q**2 - 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - v = -49, -5*v - 4 = -2*r + 6. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 - b**2)*(3 + 0 - 4)*(0*b**2 + 3*b**2 - 2*b**2).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 43030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 410486401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0104065141 rounded to 4 dps?\nAnswer: -0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -16*v**3 + 25*v**2 + 19*v - 19. Let c(j) = 3*j**3 - 5*j**2 - 4*j + 4. Let u(k) = 11*c(k) + 2*t(k). What is the remainder when 10 is divided by u(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 8) to base 11.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1513 + -828. Suppose -235 = 5*c - w. What is the greatest common divisor of c and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 12*s - 4. Let f be j(11). Suppose -4*q - 37 = 3*u, 4*q + 4*u = -33 - f. Let a(x) = -x + 3. Give a(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -289, -5, -3.\nAnswer: -289, -41, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033218279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6 - 6\/(-9). Let z = 5 + u. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0*4\/16)\/1. Suppose r = -40*c + 42*c - 20. Calculate the lowest common multiple of c and 98.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105062261 divided by -6180133.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 349 = 3683. Let u be 1 + -1 + -5 + a\/72. Find r such that -2\/7*r**u - 72\/7 + 24\/7*r = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(29\/((-174)\/(-36))))\/(10\/(-18)). Which is the closest to -6? (a) -4 (b) l (c) 4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116399227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i = 6*i + 58 + 30 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -723 + 3885. Calculate the highest common factor of 204 and o.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 14*p - 17*p - 24 = 0, -4*x + 52 = -4*p. What is the remainder when -2 - -2 - (-86)\/2 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14180 and 1305100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 5*k**7\/14 - 67*k**5\/20 - k**4\/3 - 4213*k**3\/6 + 3*k**2\/2 - 2*k - 3759. What is the second derivative of m(v) wrt v?\nAnswer: 300*v**3 - 402*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 18*z**2 + 17*z - 2. Suppose 39 = -f + 57. What is the tens digit of l(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 2, f: 2, u: 1}. Give prob of sequence du.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3\/7 - ((-580)\/35 - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 23*l**2 - 3*l + 2. Let m(r) = -2*r**2. Calculate a(m(k)).\nAnswer: 92*k**4 + 6*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 7*b + b)*((4 - 3 + 0)*(-1 + 1 - 2) + (5 - 1 - 3)*(15 - 21 - 18) - 1 - 1 + 3 + (-2 + 0 + 5)*(1 - 2 + 0)).\nAnswer: 112*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452 = 167*p - 383 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 5, -0.25, -3\/2, 7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1171036427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5204 - 1904. What is j rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 661066 + 130677. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 218605\/12 - 18206. Let z = -487\/26 - -55\/13. Calculate the common denominator of z and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 269035867?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e9 + 283?\nAnswer: 56c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 46 = 3*t, 3*t - 24 = -3*g - 0. Let n be 2\/(-12)*-3*g. What is the units digit of n + 0 + 0 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4*(-4)\/(-8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 40029794\nAnswer: 8005958.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.82*887028\nAnswer: 727362.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76906 is divided by 339?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23, -94, -283, -538, -853, -1222, -1639?\n\"Answer: q**3 - 42*q**2 + 2*q + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711939 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -316, -1075, -2552, -4987, -8620, -13691?\nAnswer: -20440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + (-188 - (-77 - 46))?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3514690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**3 + 35*h**2 - 2022*h + 15961. Calculate j(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -13*a**2 - a + 238. Let n(s) = -s**3 - 4*s**2 - 2*s + 2. Let y be n(-3). What is the tens digit of l(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -134, -555, -1370, -2699, -4662?\nAnswer: -7379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Let u(q) = q**3 - 2*q**2. Let k be u(2). Is o at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87531856?\nAnswer: 2, 89, 61469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/110 and -1\/495?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1268, 1, 15 in ascending order.\nAnswer: 1, 15, 1268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f - 33. Let w(r) = -11*r + 50. Let n(s) = 8*b(s) + 5*w(s). Determine n(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -15*g - 127. Let z be (-74)\/8 - (-11)\/44. Let p be k(z). Solve y - m = p, 13 = -y + 4*m + 33 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = -66*h + 82*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4064906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-9 - (19 + -12 + 3 + -14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47147, 34171, 12543, -17737, -56669, -104253, -160489?\nAnswer: -225377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 3:23 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -1.11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*i + 2*i. Suppose -6*s = -2*s - 4*m - 8, -4 = -4*m. Let k = i - s. Calculate the greatest common factor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 4, -93, -4, 423?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}