diff --git "a/data/dm_maths/full_data_1/10607_11255.jsonl" "b/data/dm_maths/full_data_1/10607_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10607_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 2*c - 6*c = -5*s - 56, 115 = 5*c + 5*s. Let q = c + -15. Solve 0 = 4*d + q, b + 3*d - 9 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535493991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -4582, -4 in ascending order.\nAnswer: -4582, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(4\/9)*(m*m**0\/m)\/m*m*(m\/(m*m**(-1\/2)*m)*m)**11*m**1\/(m\/(m\/m**9))*m*m**(2\/3)*m*m**(5\/4) assuming m is positive.\nAnswer: m**(67\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 397256044?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*q**2 - 20*q + 20*q to the form d + p*q**2 + c*q and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 4:12 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 24*t - 221. Suppose -2*y = -5*n + 79, 4*y = -4*n - 0*y + 80. Solve -3*b - 1 + n = 5*s, -b + t = 5*s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6485893 millilitres?\nAnswer: 0.0006485893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001110011 + -1010001010111000?\nAnswer: -1000010001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 882 + -268. Suppose -114 = 3*s + 4*g - h, -s - 2*g = -168. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*b = 237165, 19*y - b = 20*y - 59291. Round y to the nearest 1000.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 90.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -a + 13*j + 106 + 92, -19 = 3*a + j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11025\/(-140)*208\/182\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + 17 + 16 - 33. Let y(f) = -13*f. Give p(y(c)).\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -290*c**2. Let f(d) = -2*d + 97. Determine f(p(l)).\nAnswer: 580*l**2 + 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15.2 * -391\nAnswer: 5943.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.3 - -0.7. Which is the nearest to 6? (a) l (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 a when four letters picked without replacement from {a: 3, g: 3, v: 1}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152650 and 32250?\nAnswer: 2289750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11370461\/10 - -1140004. Let o = q - 2963. What is the common denominator of 4*(1 + 5\/(-7)) and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -192*w**6 - 478419*w**3 - 927070691*w**2.\nAnswer: -23040*w**3 - 2870514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txxj when four letters picked without replacement from txxtjbxbtxbxttj?\nAnswer: 5\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*l - n, 0 = -2*l + l - 2*n. Suppose 2*f - 12 = l. What is the remainder when 19 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*i - 8 + 20 - 3 - 2 + 14.\nAnswer: 262*i + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 71 - 23 = 0. Let q(v) = 2*v + 19 + 4*v - v. What are the prime factors of q(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -206 + 225. Solve 2*r - 15 = -l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 51\/190, -1\/9, -2\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 776, 774, 754, 710, 636, 526?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j - 44. Let l(f) = f + 9. Let r(x) = -k(x) - 5*l(x). Let n(v) = -3*v - 6. What is -n(m) + 5*r(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/15, 3, -2, -0.1 in ascending order.\nAnswer: -2, -0.1, 1\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 2*d**3 + 3*d**3)*(0*d + 0*d - 2*d**2) + 0*d**5 + 0*d**5 + 2*d**5.\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 26 - 8. Calculate the least common multiple of 8 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 s when three letters picked without replacement from {s: 12, d: 2, h: 3}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -3 + -10)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15293 - 6*n**2 + 4*n**2 - 15451 - 15297 + 46041.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 101 - 0 - (216 + 69 - 291).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 197 - 62. Solve 30*p + s = 33*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 15. Let u(f) = f**3 + 3*f**2 - f + 4. What is the smallest common multiple of u(-2) and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 135, -1518, -6009, -14760, -29193, -50730, -80793?\n\"Answer: -237*q**3 + 3*q**2 - 3*q + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*y - 3 = -4*x, 0 = 3*x + y - 4. Let u be (4*-1)\/2 + 1. What are the prime factors of (x - (9 + 0))*u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.061.\nAnswer: 0.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**3 - 6*s**2 + s - 2. Let a be q(-2). Solve -12 + a = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10140 + 13618. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/l**(3\/2)))*((l\/l**(-1))\/l)\/l*l**6\/(l*l**(-1)\/l))**(9\/4))**(-2\/5) assuming l is positive.\nAnswer: l**(-117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) + 8\/(-28). Let j(q) be the first derivative of -1 + 1\/3*q**3 + 0*q**4 + 0*q + 1\/5*q**5 + h*q**2. What is the third derivative of j(a) wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzdz when four letters picked without replacement from {w: 5, d: 1, y: 1, j: 2, z: 9}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9234 is divided by 3078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01670499 rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 - 588\/5. Let v = -6.5648 - -8.2648. What is the third smallest value in v, c, 1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r + 77*r + r - 19 + 64*r. Is v(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*n = 224009, y + 2*n = -4*y + 559994. Round y to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 791959173 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579745463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -4 (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1331) + -5 - sqrt(1331))*-1 + 2)**2.\nAnswer: -154*sqrt(11) + 1380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30972009 and 24?\nAnswer: 247776072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -617829000 and 0.029.\nAnswer: -617828999.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52307429.\nAnswer: 52307429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2988, -6000, -9012, -12024, -15036?\n\"Answer: -3012*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 62307 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x = -2*s + 2, 2*x + 2 = 0. Suppose 156 = 4*y - 4*l, 0 = -2*y - s*y + 4*l + 82. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h**2 - 3*h + 3*h. Let n(v) be the third derivative of 0*v**3 + 13*v**2 + 0*v + 0 + 1\/24*v**4. What is n(f(b))?\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/865288 and 9\/7.\nAnswer: 6057016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(17\/(-68))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 3*z**2 + 11 - 10 - 1. Let y(a) = -a**2 + 38. What is y(k(o))?\nAnswer: -4*o**4 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -s + 4*s - 47, 0 = 5*z + 2*s - 57. Let g = z + 2. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(1440))\/(-2*sqrt(64)\/sqrt(288)).\nAnswer: 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, l: 3, e: 4}. What is prob of picking 1 l and 1 e?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 742 + -745. Sort 6, v, -1 in ascending order.\nAnswer: v, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2068, -1607, -126, 2885, 7936, 15537, 26198, 40429?\nAnswer: 58740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 122701 * -0.4\nAnswer: -49080.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001618 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 513 + 25. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9919 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1177 - 1147. Let a = -58 + 102. Calculate the remainder when a is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6*18\/4. Suppose 3 = 2*m - m + 2*w, m - 4*w = k. Suppose 2*t = -m*t + 45. Calculate the remainder when 17 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16900344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 36098 + -36095. Let u = -5.4 + 5. Which is the third smallest value? (a) g (b) u (c) -0.6 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -0.6 (c) 2\/11 (d) -4.81 (e) -1\/3 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 6*l + 2. Let d be w(-5). Let h(f) = -3*f - 1 + 5 - f**2 + d*f - 2*f. Let i(o) = -o**3 + 4*o**2 + 20*o. Let b be i(-3). What is h(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 4*z**5\/15 - 7020*z**2. Let m(o) = 115*o + 2. Determine p(m(b)).\nAnswer: 211600*b**2 + 7360*b + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 437*x**2 + 264.\nAnswer: 874*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -13021?\nAnswer: 13023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (-4)\/(16\/4). Suppose -r*t - 20 = 0, h + 2*h + 4*t = 23. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 10386?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 12 = 8*v. Suppose v*x - 97 = -3*k, k - 14 = -x - 4*x. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2\/5 - 2\/5*k - 12\/5*k**2 = 0.\nAnswer: -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 2645*q + 31889. Determine w(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-2) - 5\/(-5). Let h(w) = -w**2 - w + 2. Let j be h(4). What is the units digit of (-22)\/(-12) - u\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + -1 + (-3 - -241). Let c = t - 112. List the prime factors of c.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5 + 3 = 0. Find the first derivative of 5*m - h*m - 3*m + 2 + 0*m wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + ((-8)\/3)\/(-1). What is the nearest to 2 in b, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174016 is divided by 3782.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-384)\/(-12))\/(3\/(-6)*4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -428 + 424 + -2 + 3 + 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3196 - 3191. Let p = 4 - -7. Solve -i*g + p = -4*s + 4, 2*g - 13 = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 127, 124, 121, 118?\n\"Answer: -3*t + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 11:22 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - 6*(1 + sqrt(272))) + -1)**2 + -3.\nAnswer: 280*sqrt(17) + 6846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129416083 - 129416083 - 16*j**2.\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 16 = -l - l, -5*l - 5*m + 5 = 0. What is the nearest to -2\/7 in -5, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 743139 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 - 4\/16*0. Let v be (8\/10)\/(m\/(-30)). Let i be (18\/459)\/(v\/(-6)). Which is bigger: -0.4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + 7 + -30 - 49?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)\/r**(3\/13))**22 assuming r is positive.\nAnswer: r**(-55\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40 or -44?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72*826.\nAnswer: 59472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 + 22196*a - 266384\/3.\nAnswer: 2*(a - 4)*(a + 33298)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11101000100110001001110 (base 2) to base 14\nAnswer: 102583c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, u: 1, n: 5}. What is prob of sequence run?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161 + -144.8. Let c = w + -0.2. Let k = -16.00000035 + c. Round k to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 535081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7741088661 to the nearest integer?\nAnswer: 87983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 8*l**2 - l - 3. Let s(v) be the third derivative of 2*v**4\/3 + 12*v**3 + 13*v**2. Let k be s(-5). Determine u(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5.6342 or -14?\nAnswer: -5.6342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17924717 + 42649296. Let i = 18518704135\/749 - d. Let t = -115\/214 + i. Find the common denominator of 47\/8 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v - 210 = 53*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111659, 894268, 3018499, 7155164, 13975075, 24149044, 38347883, 57242404?\nAnswer: 81503419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11, 15, 45, 79, 117, 159?\n\"Answer: 2*z**2 + 20*z - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*1 + 5 + 4 + 3)*5)**2*-6.\nAnswer: -62850 - 18000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 15*h**2 - 6*h + 163. Give b(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39.0148 + 39. Let b = 572.9601 + -573. Let j = b - s. Round j to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245033 (base 6) to base 7.\nAnswer: 120444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 6*s**2 + 9*s - 1. What is the tens digit of m(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4}. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u + 9. Let c be n(0). Suppose -4*i + 69 = -3*z, -4*z + c = -11. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 19*j - 44. Let o be h(-14). Suppose -i = i - o. What is the remainder when 64 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 78\/18 - (-2)\/3. Let q(y) = 2*y - 6. Let j be q(r). Is 9 a factor of (j\/(-10))\/(14\/(-490))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, v: 4}. What is prob of sequence uuuu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2)\/j*j\/((j\/((j*j**4)\/j))\/j)*j)\/(j**0*j*j**(-2)))\/((j*j*j**(2\/17)*j)\/j**(1\/3)*(j**(-3)\/j)\/((j\/j**(-6))\/j)) assuming j is positive.\nAnswer: j**(1399\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4*369\/(-1312)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1711*s = 1660*s + 9588. What is the highest common divisor of 3901 and s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 77*b**2 + 1786*b + 3540. Give k(-21).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.059.\nAnswer: 0.0295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 794 + -791. Let v be (-13)\/26 + (i - 12\/8). Solve -v = z, 3*z = -5*n - 4 + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0 (c) 52622 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-584)\/(-6935)*(-190)\/(-304)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 18*w**2 + 44*w + 58. Give g(20).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 9, 38, 103, 216, 389, 634, 963?\nAnswer: 1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 727*p**3 - 3*p**2 + 92. Let w(o) = 729*o**3 - 2*o**2 + 89. Let q(k) = -4*c(k) + 6*w(k). What is the first derivative of q(n) wrt n?\nAnswer: 4398*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 9*g**3 - 122*g**2 + 78*g - 178. What is b(13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 1295 + 149 = 0. What are the prime factors of n?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 15. Let u = n + 15. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/4 + 29097*o\/2 + 13623471\/4.\nAnswer: 3*(o + 237)*(o + 19161)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 63*s - 5. Let b(m) = 76*m - 6. Let c(x) = -5*b(x) + 6*r(x). Let l(a) = 160*a**2. Calculate c(l(o)).\nAnswer: -320*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - j = -6*j - 449, -3*b = -j - 323. Suppose 116*r = b*r + 520. Is 26 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 2*j**2 - 6*j + 1. Let l be b(4). Suppose 0 = -l*m + 4*m - 85. Which is smaller: -16 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 1 + -4)*0. Let d(o) = q*o + 2*o + 0*o - 7*o. Let y(r) be the second derivative of r**3\/3 + 6*r. Give y(d(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * -10.35.\nAnswer: 175.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16131723 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4425*r**3 + 7*r**2. Let k(t) = 5897*t**3 + 9*t**2. Give -9*b(m) + 7*k(m).\nAnswer: 1454*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*o - 4*a, 0 = o + 3*a + 12 + 1. Let i(t) = t + 0 + 2*t**o + 4 - 4. Let j be i(-2). Let v(z) = -z**3 + 6*z**2 - 1. Calculate v(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2.1. Let k = 6.8889 - -3.1111. Which is the nearest to u? (a) 0.3 (b) -1\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 9*n + 10. Let b be a(8). Find the second derivative of w**3 - b*w + 0*w + 4*w**3 + 4*w wrt w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -75, -70, -65?\n\"Answer: 5*p - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, -210, -260, -340, -456, -614, -820, -1080?\nAnswer: -1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a = 2. Suppose 2*x + 88 = a*b, -94 = b - 3*b - x. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000071 rounded to 7 decimal places?\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -824, -922, -1186, -1700, -2548, -3814?\nAnswer: -5582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**11\/u)**(-36)*u**(7\/2)\/(u*u*u**(-12)\/u*u) assuming u is positive.\nAnswer: u**(-693\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -14 (c) -0.2 (d) -1.84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59690 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2624?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 62892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*o - 1190 = 0, -287*g = -288*g + o + 1158. Calculate the remainder when g is divided by 109.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (4 - (7 - (-9 - -14 - 4))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-382 + 54*w + 189 + 7*w + 191)*(6 - 11 - 4).\nAnswer: -549*w + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29349 - 6*a - 29349.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 12 + (-71)\/(4260\/770)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 12*q - 8. Let b be d(-11). Suppose 2*z - b = z. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -363 - -569. Let v = q + -18. Suppose -3*i + 133 = -5*o, 4*o + v = -2*i + 6*i. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-10))\/(4\/10). What is the units digit of (i*(-2)\/12)\/(47\/11562)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m**2 + 3*m**2 + 2*m**2)*(m + 0*m + m) + (7 - 3 + 4)*(7*m**2 - 2*m**2 - 3*m**2)*(-m - 4*m - 2*m) as l*m + k*m**3 + s + g*m**2 and give k.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d**2 + 3. Suppose -4*q - 5*x = -x + 120, 4*q + 2*x + 114 = 0. Let r(f) = 28*f**2 - 9 - 6 - 6 + 20*f**2. Let c(k) = q*n(k) - 4*r(k). Factor c(m).\nAnswer: -3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*q**2*w**3 - 6*q*w**3 + 2*q*w**2 - 617*w**3 wrt q.\nAnswer: 52*q*w**3 - 6*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4251620 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((3 + sqrt(405) + 1)**2 - (sqrt(15)\/(sqrt(6)\/sqrt(2)) + 1)) + 5).\nAnswer: 213*sqrt(5) + 1275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n - 3. Let p(k) = k. Determine b(c) + 2*p(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -19 + 13 - (1 - 8). Let z(a) = 1403*a. What are the prime factors of z(c)?\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (2\/6)\/((-1)\/(-168)). What is the closest to -1 in u, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/3 and 65\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6708432131?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.408 times -0.2?\nAnswer: -1.0816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 149*x + 296. Let v(c) = -74*c - 147. Let o(l) = 6*r(l) + 13*v(l). What are the prime factors of o(-18)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 - -1.9. Let s = 0.8 - r. Let f = 3 + -3.1. Which is the biggest value? (a) f (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 37*t**3 - 4*t**2 - 9*t + 13. Calculate the remainder when y(1) is divided by (-25)\/(-3) + 12\/18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(77) + sqrt(77)*1*1 + -3*(sqrt(77) - 2*sqrt(77))))\/(4*((sqrt(99) - sqrt(99)*1)\/sqrt(9) - sqrt(11))*5).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 147 = -114 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + 3 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3578592 years?\nAnswer: 4.2943104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 26. Let s = j - -8.3. Let t = s - 0.32. What is t rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22882 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l**(-5\/4))*l)\/(l*l**(-5)))**(-34)*(l**13\/(l**(2\/15)*l))**(8\/7) assuming l is positive.\nAnswer: l**(-48917\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3140 - -1144203?\nAnswer: 1202343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (22\/8)\/(3\/12). Let b = 11 - o. Suppose b = 5*c - 5, 2*m - 3*c - 1 = -0. Solve 3*n - 3*w = -0*n - 6, 5 = -m*n + w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -1654?\nAnswer: 1653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 t when three letters picked without replacement from eeftfezeteaee?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Convert -48b (base 12) to base 7.\nAnswer: -1664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25601426*g + 45924743 wrt g.\nAnswer: -25601426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 20526.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_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: Let k(s) = -2*s**2. Let f(z) = -z**2. Let i be f(0). Let g(d) = i*d + d + d. Give k(g(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 13 - 3*v - 14 - 63 to w + m*v and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -156*x - 2493. Determine j(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790392.\nAnswer: 2, 3, 32933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Let s(z) = -z + 7*z + 4 + z**2 - x. Let i be s(-6). Solve -1 = -d - i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o + 20. Let g(a) = -6*a - 18. Let n(y) = 6*g(y) + 5*u(y). Let k(f) = -1. What is 6*k(r) - n(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/25*18*15\/30.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-1 - (54 + 6) - -3) - (42 + -51)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29612, 58023, 86434?\nAnswer: 114845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a. Suppose 4*v + 10 = 2. Let n be ((-4)\/(-6))\/(v\/(-6)). Let x(p) = -4*p**n + 4*p**2 + 3*p**2. Determine x(r(s)).\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 5*s - 5. Let i be (4\/(-2))\/(1\/(-3)). Suppose 2 = 3*r + 2*x, -3*x + 0 = i. Suppose -2 = f + r. What is b(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 376334, 753426, 1130516, 1507604, 1884690, 2261774, 2638856?\n\"Answer: -z**2 + 377095*z - 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 + 10*j**2 + 10. Let m be b(5). What is the second derivative of 36*d**5 - 204*d + m*d**4 - 18*d - 8*d**5 - 10*d**4 wrt d?\nAnswer: 560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 4.5. Let l = j - -0.2. What is the nearest to 1 in -5, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -202, -526, -980?\nAnswer: -1564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5*r - 48, r + 63 = 8*p - 6*p. Let a(b) = -25*b**2 - 4*b + 4. Let k(h) = -201*h**2 - 33*h + 33. Determine p*a(g) - 4*k(g).\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) 1\/2 (c) 4.6 (d) -17 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.092 or -605?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 1*1\/1. Let u(k) = -6*k**2 + 12*k - 15. Let d(x) = -2*x**2 + 4*x - 5. Let i(o) = 11*d(o) - 4*u(o). What is the tens digit of i(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -268 and 23.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (604\/(-20838))\/((-108)\/(-414))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/4, 89, -0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and ((-213)\/142)\/((-6)\/88)?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100011011 - 100110?\nAnswer: 1000011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**7\/360 - i**6\/360 + i**5\/120 - i**4\/12 - 20*i**2. Let m(c) be the second derivative of n(c). Determine m(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46.9 + -0.2\nAnswer: -47.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 - -27. Let m = n - -84. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -638 + 2*w**3 + 2*w - 102*w**2 + 644 + 109*w**2. Determine g(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -187 + 5246. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 153006*s**2 + 1950749988*s + 3902112024.\nAnswer: 3*(s - 25502)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) -0.2 (c) -0.3 (d) -150 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 56 = -4*u + 24, 2*s - 3*u - 9 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 832 + 720 = 4*q. List the prime factors of q.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-6)\/9*3 + 18 + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 + 75158*a\/3.\nAnswer: a*(a + 75158)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -c13576 (base 15) in base 12?\nAnswer: -30a5386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(0 + 31\/(-2)). Suppose -108 = 3*v - 354. Let z = v + b. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 - 0. Let u be (-9)\/(108\/8) - -2. Let x = u + -1. Put 2, b, x in ascending order.\nAnswer: x, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 2521174 in descending order.\nAnswer: 2521174, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v. Let y(g) = -53*g**2 - 42*g + 3. Determine m(y(p)).\nAnswer: -53*p**2 - 42*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*x - 32*x - 111*x.\nAnswer: -113*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, -8, -66, 4 in descending order.\nAnswer: 4, -2, -7, -8, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 22*h**2 - 11*h - 1. Is m(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 8*g**2 + 8*g + 12. Let n be u(9). Calculate the smallest common multiple of ((-3)\/(-9) + 0)*n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8259848 and -8259849 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 4*m - 4. Let g be x(-2). Calculate the lowest common multiple of (-540)\/6*g\/(-9) and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 6*h + 2. What is q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21833369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d + 4. Let n(f) = 32*f + 2. Let l be n(d). Let j = -10 - l. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + -33. Find the first derivative of -j*n**4 + 8 + 4 - 4*n**4 + 1 wrt n.\nAnswer: -48*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-3))\/((-8)\/36). Let w(g) = g**3 - 5*g**2 + 8*g - 7. Let f be w(5). What is the greatest common factor of f and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10) - 0)\/(10\/50)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 - 46. Calculate the remainder when v is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -11 (c) -4\/5 (d) -130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8445284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 221ba19?\nAnswer: -221ba1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -0.2585?\nAnswer: -0.0415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*v - v. Let z(o) = 11*o + 46. Let g be z(-2). Suppose -3*c + 2*t + v = -g, 4*c = -2*t + 50. What is the greatest common divisor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**3*q**2 - 3117*m**2*q**3 - 134420*q**3 with respect to m.\nAnswer: 9*m**2*q**2 - 6234*m*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47241\/38 + -1243. What is the common denominator of 589\/(-38) + 5 - -7*1 and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35b3 (base 12) in base 2?\nAnswer: -1011110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1683907?\nAnswer: 37, 71, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -430 - 56*j**3 + 54*j**3 - 4*j**2 - 6*j + 348 as z*j**3 + x*j + m + o*j**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b - 5. Suppose 2*t + 10 = 0, -21*k = -17*k - 4*t. Let c(j) = 9*j + 7. Let u(o) = o + 1. Let l(m) = -c(m) + 3*u(m). Give k*l(d) + 4*r(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {c: 12, q: 5, m: 1}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*k - 52*k, 2*i - 8 = k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 590270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*q - 6300, -5*q - 4725 = -435*j + 432*j. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2\/19, 30.\nAnswer: -2\/3, -2\/19, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*h**3 - h**3 + 31*h**2 - 61 + 5*h**2 - 7*h**3 wrt h?\nAnswer: 6*h**2 + 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33286 by 3026.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9999648 + -2. What is o rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2673.1 - 2673. What is the nearest to g in -6, -1\/7, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (34\/(-5))\/(1\/(-30)). Let v = -121 + s. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 11892.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 43\/(43\/30)*(-22)\/(-6). Calculate the greatest common divisor of d and 418.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 442 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Suppose -a*k = 2*k - 8. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 778 - 773. Solve -3*a - 4*d + 1 = 0, 5*d = -4*a - 4 + f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b*b**(-7)\/b*b*b)\/b*b)\/b)\/(b\/b**(2\/7)))\/((b*b**(2\/7))\/b**(-3\/5)))**3 assuming b is positive.\nAnswer: b**(-129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(19) + -2*sqrt(19) + 2).\nAnswer: -8 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + g = -40. Suppose -5*o + 3*o = 2*y + g, -4*y - 7 = o. What are the prime factors of y\/(2\/(-11))*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50.9 - 48. Let u = r - 3.2. Sort 0.3, -0.2, u in increasing order.\nAnswer: u, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 725 - 502. List the prime factors of b.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*v. Suppose -1624973 = v*o + 1175027. Round o to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 + 1556996*n\/3 + 7784830.\nAnswer: 2*(n + 15)*(n + 778483)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*m - 60*m = 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30154600, -60309195, -90463788, -120618379?\n\"Answer: o**2 - 30154598*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + g - 1. Let q(m) = -m. What is -q(z) - x(z)?\nAnswer: z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 627 and 150?\nAnswer: 31350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3628, -7249, -10870?\nAnswer: -14491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49988 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1184\/3*l + 2\/3*l**3 + 1192\/3 + 290\/3*l**2 = 0. Calculate l.\nAnswer: -149, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + -43. Let b = 41 - k. Calculate the remainder when b is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -601526*n**5 + 3528354*n**4 - 4932540*n**3 - 705564*n**2 - 32238*n - 486.\nAnswer: -2*(n - 3)**2*(67*n + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -7\/6*t**4 + 0*t**2 - 5\/6*t**3 - t + 0. What is the second derivative of b(q) wrt q?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (-1)\/((-21)\/52) and -58\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1009*w + 2029*w + 4*w**3 - 1020*w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + -68. Let r(f) = 8*f**3 + 3*f**2 - 2*f. Let t be r(b). Suppose -t*x + 306 = -756. What is the remainder when x is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.786343 years to months.\nAnswer: 45.436116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 144 = -661. Is 6 a factor of o\/25 + 8\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*s - 823 - 52 = -96*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8089?\nAnswer: 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 9, 3*g - 152466 - 477054 = 2*c. Suppose 14*s - g - 298264 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8478 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 8:37 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18707 is divided by 103?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q - 3. Let s(k) = k - 1. Let p(n) = c(n) - s(n). Let h be (-12)\/14*(-7 + 91\/39). Let y(u) = -5*u + 5. What is h*y(t) + 11*p(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 15*b**2 - 15*b - 24. What is k(14)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/((-1050)\/105)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 22*w**2 + 21*w + 3. Let r be n(21). Let y(x) = 5 + 2*x**r + 20*x**2 - 4*x - x**3 + 10*x + 13*x. Let p be y(-19). Solve -t + 0*t = -p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -384*c**2 + 16*c - 1. Let n(o) = 77*o**2 - 3*o. Let g(x) = 11*n(x) + 2*s(x). Calculate the remainder when g(-1) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (366\/(-15) - 3\/15)\/((-6)\/30). What is the highest common factor of 7872 and x?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 49*f**2 + 11*f + 1788. What is the hundreds digit of t(35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -292.2 - -292. Let d = -4.07 - -0.07. Let q be (-5)\/(-8)*((-28)\/(-10) - 3). Sort d, q, z.\nAnswer: d, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 8348 = 6420. Is -1 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-952)\/(-98) + (26\/546)\/(2\/12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/5, 3515989, 0.24?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 16. Let k be (-3 - l)*(-1)\/3. Find the second derivative of -9*h**5 - k*h + 19*h**5 - 9*h**5 wrt h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -28*g + 46 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2 + (5 - 1 - 3)*(2 - 5 + 4) - 16 + 31 + 23)*(-11*x + 7*x - 12*x)*(-1 + 2*x**2 + 1 + (-4*x + 3*x + 2*x)*(-x + 0*x - x) - 2 + 2 - 2*x**2).\nAnswer: 1184*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26877?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 108 = -92 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 256 = -4*k. Let f = k - -89. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9 + (-3)\/((-21)\/35). Which is the third smallest value? (a) 5\/4 (b) u (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) -5 (c) 3 (d) 98.3 (e) 11032\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -11. Let r(y) = 13*y + 186. Let o be r(-14). Put o, -5, g, -3 in decreasing order.\nAnswer: o, g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -11617\/6 and -1936 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 182169 divided by 1?\nAnswer: 182169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrzryryryrry. Give prob of picking 2 r.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o. Let r = o - -1. Let x(i) = i**2 + 0 - 2*i + 11*i**3 + i + 3*i + r. Give x(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -83*h**2 - 109*h - 118. Give x(-5).\nAnswer: -1648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - ((27 - 48) + -4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212 + -84 - (-45 - -58).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 15*c + 164 = 13*c - 76 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7165*n - 2628. Is r(55) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102454756 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 2042?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7579 - 14*p**2 + 7570 + 6*p**2.\nAnswer: -8*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (456 + 56 - 55)*(0*x + 0*x + x**2).\nAnswer: 457*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**5 - 9*k**5 + 121*k**3 - 5*k**2 - 121*k**3 wrt k?\nAnswer: -480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1719*r + 2840 = 8213 + 13536 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = w - 53, -2*w + 51 = -5*t. Let y = t - -57\/5. Let r = 137 + -823\/6. Which is the closest to -1\/2? (a) r (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + b + 59 = 14*u, -4*u + 54 = -2*b. Calculate the remainder when 1487 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 < 2531\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 (base 12) in base 6?\nAnswer: 4101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5200 and 20?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5834.6 rounded to the nearest 100?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 26*z + 156 = 0. Solve -o + z = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21211101002 (base 3) to base 4\nAnswer: -211213223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37068529469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**7\/42 + 8*s**6\/15 + 5*s**5\/4 - 7*s**4\/2 - 2499*s. Factor d(t).\nAnswer: t**2*(t - 1)*(t + 3)*(t + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*z + 33989 + 47526 + 19330 = 0. What is the greatest common factor of z and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -11*i**5\/10 + 4*i**4\/3 - 2*i + 32. What is the third derivative of t(a) wrt a?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 498\/83*18\/12*(160\/(-12))\/2?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by 18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4776226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**5)\/(k**(1\/4)*k))\/(k*k*k**0*k*k*k)**(-37))\/(((k**(1\/2)*k*k)\/k)**(2\/33)*(k**(1\/4)\/k)**47) assuming k is positive.\nAnswer: k**(2364\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - o + 1 + 31 = 0, 4*p + 4*o = 32. Suppose p = y + y. Suppose 0*q = y*q - z - 52, -z + 44 = 4*q. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**4 - 24445*y**3 + 29495820*y**2 + 935931600*y + 2541672000 = 0. What is y?\nAnswer: -28, -3, 2460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2342 (base 5) to base 4.\nAnswer: -11123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 9:46 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/150560 and -79\/768.\nAnswer: 3613440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 8 + 3*v - 64\/9*v**3 - 1\/5*v**5 - 8\/3*v**4 + 1\/42*v**7 + 11\/90*v**6 - 8*v**2. Factor s(u).\nAnswer: (u - 3)*(u + 2)**3*(3*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27824.49 + 27679. Let y = r - -3.49. Let d = -142.0000107 - y. What is d rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 3*i - i**2 + 125 - 125.\nAnswer: -i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1856963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-222)\/(-74))\/((-3*4\/(-156))\/(-1)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8789 and 257654.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 331729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (384\/(-6))\/(-192)*(-20)\/(-1)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 5*p + 27, -18 = -p + 9*b - 7*b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = i + 3*z - 178, 0 = 3*i - z - 566. Let k = -134 + i. Let m be 3*(16\/k)\/(-4). Which is the third biggest value? (a) 1 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 4969.\nAnswer: 14907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3869769258.\nAnswer: 2, 3, 83, 317, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/14*(-98)\/(-28)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.33359 + -18.224. Let n = x - 0.11. Round n to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) + -12*(-8)\/18. Suppose t*c = -0*c + 72. Suppose 5*v - 10 = -0. Solve -3*f = -v*l + l + c, 2*l = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 143*n**7\/42 + n**4\/24 + 647*n**3\/6 + 26*n**2 + 19. What is the first derivative of a(t) wrt t?\nAnswer: 2860*t**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -5778757187955?\nAnswer: -5778757187960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 97741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -94 divided by 15\nAnswer: -94\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117692507?\nAnswer: 509, 231223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 105011 (base 6) in base 11?\nAnswer: 6728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1145 + -1149. Let q = -5 + 4.6. What is the closest to q in 0, z, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 572382 to the nearest 1000.\nAnswer: 572000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*2*sqrt(4000)*-1)\/(5*(6*sqrt(128)*-1 + sqrt(128) - sqrt(128))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 31*r**2 - 36*r - 95. Let y be ((-6)\/5)\/(4\/10). Let p(w) = w**3 + 4*w**2 - 2*w - 3. Calculate the remainder when k(-32) is divided by p(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9534 + -9421. Sort d, 0.1, 3 in decreasing order.\nAnswer: d, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192\/(-24)*(-3)\/84.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 107 in increasing order.\nAnswer: -1, 3, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x + 956. What are the prime factors of x?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**17\/(s*s**(-7)) assuming s is positive.\nAnswer: s**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15811 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003202348473 rounded to seven decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 + 3*f - 2. Let y be r(-2). Solve 3*v - 8 = y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 8*l**2 + 22*l + 20. Let p be s(-10). Suppose -6*h - 4018 - 11126 = p. Is -1*-2*h\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4731.6794 + 4731. What is k rounded to two dps?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62379 and 12006?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6984 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 16*p - 13. Let z be q(-15). Solve 5*o = -z*w + 6, 0 = -0*w - 4*w + 2*o - 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17472 and 37464?\nAnswer: 3896256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 570*x - 900 - 481\/4*x**2 - 1\/4*x**4 + 19\/2*x**3.\nAnswer: -(x - 15)**2*(x - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**9\/(k*k\/(k\/k**8)) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 1 - 1 + (2*h + 2 - 2)*(0 + 0 + 2) - 224*h - 63*h - 192*h + 2 - h - 2.\nAnswer: -477*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 3:50 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**5 - 6366*a**4 + 291294*a**3 - 2709132*a**2 + 3877797*a + 21024234 = 0.\nAnswer: -2167, -2, 7, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-480)\/(-2400))\/(1\/(-55)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -434083.\nAnswer: 173633.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 10:19 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2743)\/195 + 15\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 + 2.5?\nAnswer: 390.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21101001200 - 11?\nAnswer: -21101001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 185423.6 kilometers?\nAnswer: 18542360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 24*q - 18*q + 46*q.\nAnswer: 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 438 = 567. Suppose -2*x = 3*d - 6*x - 601, s = d - 2*x. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -67057402.\nAnswer: 134114804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5346346*c**2*f - 2*c**2 - 70201253*c*f wrt c?\nAnswer: 10692692*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 5*c + 6. Let y be r(-6). Suppose y = 3*q - 16 - 14. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 7:36 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(187) + -5*(sqrt(187) - (sqrt(187) - 2*sqrt(187))) - sqrt(187)))\/((3*(sqrt(77)*-1 + sqrt(77)) + sqrt(77))\/sqrt(7)).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*n + 2334 = -2084 + 570 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*g - 17 = -247 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 820 = r. Suppose s - 53 = -c - s, -3*c - s = -r. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*n + 46, 3*n + 2*n - 26 = -c. Let v(p) = 2*p**2 - 13*p + 15. Calculate the lowest common multiple of c and v(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**3 - 144*i**2 - 18*i - 213. Determine x(29).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*p**3*u + 11119*p**3 - 2*p**2*u - 7*p - 235*u - 2 wrt p.\nAnswer: 54*u + 66714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -o + 5*l, 3 + 2 = -l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 1)\/(2\/(-22)). Suppose 4*b - 51 = -2*z - b, -b = -3*z + 51. Let v = y + z. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*z - 10*z**2 + 20*z**2 - z**2 - 176*z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2791929, 2791927, 2791925, 2791923, 2791921, 2791919?\nAnswer: 2791917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 129\/4 (c) -0.5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (33\/(-4))\/((-3)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -19*j. Let b(d) = 2*d**2 + 16977*d - 8. Calculate i(b(u)).\nAnswer: -38*u**2 - 322563*u + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34712 - 34712.5. Put -4, -0.1, k, 0.09 in descending order.\nAnswer: 0.09, -0.1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5222 + 5?\nAnswer: -5219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -82734*z**3 - z**2 - 200274 wrt z?\nAnswer: -248202*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -111111001 (base 2) to base 12\nAnswer: -361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2 + 2*z. Suppose -10 = -31*c + 41*c. Let k(n) = n**2 + n. Calculate c*v(q) + 2*k(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3042*r**5\/5 - 815412*r**4\/5 - 56273024*r**3\/5 - 218879296*r**2\/5 - 54979584*r - 22302720 = 0.\nAnswer: -132, -2, -40\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2815016*d**5 - 103*d - 11776.\nAnswer: 56300320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 228*c**5*l + 191*c**4*l - 6*c*l - 654*c + l + 2 wrt c.\nAnswer: 4560*c**3*l + 2292*c**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - 4513893502982.\nAnswer: -4513893502958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -94*l + 4822. Let x(z) = 17*z - 965. What is 2*h(n) + 11*x(n)?\nAnswer: -n - 971","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1752 (b) 2 (c) -37 (d) -5 (e) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118.6 - -119. Which is the nearest to -1\/6? (a) -22 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1783*o + 2384. What is the hundreds digit of c(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/((-190)\/570)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(432) + (1 + sqrt(432))*-1)**2 + sqrt(432) - ((sqrt(432) + sqrt(432)*1 + 0)**2 + 5))*-3.\nAnswer: -36*sqrt(3) + 5211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10865439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*l = -25, -4*n = -0*l - l - 22. Calculate the greatest common factor of n and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -8. Suppose q = -0*y + 5*y - 90. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15511 - 5\nAnswer: -15516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*l - 6 = 0, -8 = l - 7. Suppose -q*d + 1237 = -4*c + 139, -552 = -d + c. What is the highest common factor of 74 and d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17958*g**2*l - g**2 + g + 2133 wrt l?\nAnswer: -17958*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-4 - (4 - 4)). Solve p = -d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -19. Let o be 3*(-4)\/6 + 5. Suppose c - 2*m = 17, -m - o*m + 34 = 2*c. What is the remainder when c is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25371, -100476, -225321, -399906, -624231, -898296?\n\"Answer: -24870*p**2 - 495*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, s: 7}. What is prob of sequence kkkk?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 o when three letters picked without replacement from {j: 2, o: 4, c: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11, -1709 in descending order.\nAnswer: 11, -3, -1709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333750 and 100712400.\nAnswer: 13350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*g - 748 - 455 = -174. Let x be ((-6)\/8)\/((-5)\/980). What is the highest common divisor of x and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1314)\/660 - -2)\/((-92)\/(-10)). Is -1 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b + 731 - 396 = -751 - 2410 for b.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247 = -27*y - 4 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43.5 - 43. Let k = 841 + -838. Which is the closest to -2? (a) i (b) 1 (c) -3 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*p**6 + p**2 wrt p.\nAnswer: 12600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -764, -797, -830, -863, -896, -929?\nAnswer: -962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -207 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-448)\/560*10\/(-16))\/(-5)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -1\/3 (c) 1\/138 (d) 0 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 14, 5, 3 in descending order.\nAnswer: 14, 8, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 3*i - 3. Let y = 12 + -6. Is z(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-8 - -19) - (4 - -60)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1695240, 1695339, 1695438, 1695537, 1695636?\nAnswer: 1695735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271691544?\nAnswer: 2, 3, 43, 263267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*(-6*(-1*sqrt(1584) + 3) + 1)*5 + -2)**2.\nAnswer: -8830080*sqrt(11) + 206330884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130 + 73. Let o = 57.0000098 + l. Round o to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3636*1541.7\nAnswer: -560.56212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -626 and 0.4.\nAnswer: -250.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3405 - 641 = -17*o. Calculate the highest common factor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 5:13 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5424 divided by -48?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*n - 45 = 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11456576?\nAnswer: 2, 23, 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 334.97 + -335. Sort -0.1, u, 4, -2.\nAnswer: -2, -0.1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.8 and 441.\nAnswer: -3880.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 25 - 31 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + v - 4. Let q be c(4). Let f be (-8)\/28 - q\/(-7). Suppose -f*u - 48 = -6*u. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1826*w + 25. Let j be (-47)\/(-9) - (-36)\/(-162). Is o(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g - 2*g**4)*(-1266*g - 290*g + 293*g)*(-8 + 0 + 0).\nAnswer: -20208*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 5:47 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152 or 16346\/7?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1980.23 rounded to the nearest 10?\nAnswer: -1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -292734409 take away 0.006?\nAnswer: -292734409.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1262663760 to the power of 1\/2, to the nearest integer?\nAnswer: 35534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12396989 rounded to the nearest one hundred thousand?\nAnswer: -12400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(2431\/102) - 186\/22\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/1229 + 2488\/18435. What is the nearest to 0.1 in s, 3, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxffxxffxfx. What is prob of picking 2 f?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen halves of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -25)\/(4\/33). Let p = -1223\/6 + y. Find the common denominator of -1 + 3 - 2\/(-8) and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -837226278 by -11202.\nAnswer: 74739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -153.36 + 144.013. What is i rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132625*a**2 - 3 - 265190*a**2 + 132584*a**2 - 4*a.\nAnswer: 19*a**2 - 4*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 74 = -6*g. Let a be (-3)\/2 + (-153)\/(-2). Let w = a - g. What is the least common multiple of w and 7?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-13)\/((-520)\/16))\/((-8)\/(-1))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4567484 is divided by 489?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -20\/33*h**3 - 14 + 8\/55*h**5 + 4\/231*h**7 + 17\/165*h**6 - 2*h - 4\/11*h**2 - 13\/66*h**4. Suppose o(y) = 0. Calculate y.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-263.\nAnswer: -3156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 1241019?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.5 and -88379332.572.\nAnswer: -88379335.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1725\/(-2070) + (-1 - (-5)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 7:47 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b - 10. Suppose 17*k - 23 = -108. Let z be v(k). Solve 3*s + 3*s + 30 = z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w = 0. Suppose 5*y - 608 + 13 = w. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/2 + 1856*q**4 - 1855*q**3 - 1856*q**2 + 3711*q\/2 = 0.\nAnswer: -1, 0, 1, 3711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = 5*y - 3*q - 225, 0 = -2*y - 3*q + 87. Suppose 2*s - 120 = y. Let k be (5\/15)\/(4\/s). What is the greatest common divisor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(475) - -3*(sqrt(475) + -2 - sqrt(475)))*3 + -4)*-1)**2 + 2.\nAnswer: -5220*sqrt(19) + 41841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4 + 128*m**3 - 2964*m**2 + 28880*m - 96026 = 0.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -25. Suppose o = 4*u - 2*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3806 is divided by 427?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 44 + 19*q in the form h + l*q and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2624\/24*6. Let q be 1\/8 + 9758\/w. What is the greatest common divisor of 180 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3336 and 3818469.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*l**2 - 16*l**3 + l**2 + 18*l**3 as u*l**2 + o*l**3 + r + m*l and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8654899.\nAnswer: 11, 19, 41411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/((-63)\/66 - -1). Let v be ((-9178)\/136)\/(g\/(-104)). Let c = v - 2\/2057. Calculate the common denominator of c and 91\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 3*m**2 - 3*m + 1. Let h be d(-3). Suppose 0 = 5*n + 10, 0*o = -3*o + 5*n + 55. Calculate the highest common factor of h and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c**4 - 118*c**3 - 76*c**2 + 784*c - 128 = 0.\nAnswer: -8, -4, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 90405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-21)\/5*(-15)\/(-48) and (-1)\/12*(-23 + 0).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 81 + u**3 - 83 + 164*u**2 + 3*u - 177*u**2 - 3*u**4 as n*u**3 + t*u + o*u**2 + b*u**4 + j and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36912 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 1. Let k be (2 - -1)\/(2\/(-6)). Let m = k + 7. Let p be (4\/(-12))\/(m\/6). Give z(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(66)\/sqrt(2)*-3 + sqrt(33))\/sqrt(11).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/8650 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-12)*4\/(-6). What is the second smallest value in s, 4, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5358 is divided by 242.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*c - 25*c - 3*c + 36408 = 0. Does 41 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 3*f + 1. Let k be b(2). Find the third derivative of -8*q**5 - k*q**5 - q**2 - 9*q**2 wrt q.\nAnswer: -660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1867*k = -3570*k + 205*k + 689*k - 27258 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*i**4 - 15*i**3 + 1725 wrt i.\nAnswer: 140*i**3 - 45*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -624*g**2*q**2 - 7*g**2*q - g**2 + 2*q**2 - 9*q wrt q.\nAnswer: -1248*g**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.72431744 rounded to 2 dps?\nAnswer: -6.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 21*u**2 - 6*u + 8. Let r(n) = n. Let v(s) = -6*r(s) - x(s). Find the first derivative of v(m) wrt m.\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 1. Let a = -2 - -4. Let n be o(a). Let r(t) = t**2 + 2*t + 2. Let v be r(n). Solve 8*s - 2*x - 8 = 4*s, 0 = v*s + x - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -1\/2 (b) 1\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4216 + 1.1216. What is the third smallest value in 11\/5, -1\/2, t?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 327*a**3 + 2*a**2 - a - 1. What is the hundreds digit of h(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 3\/7*w**4 + 0 - 12\/7*w - 6\/7*w**3.\nAnswer: -3*w*(w - 1)**2*(w + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - i - 1. Let f(c) = c + 1. Let a be f(4). Let d be n(a). Solve -11 - 1 = 2*o + v, -3*o - 2*v - d = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540 (base 6) in base 8?\nAnswer: -644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgghrghghrr. Give prob of picking 2 r.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 82, 113, 144, 175, 206, 237?\n\"Answer: 31*q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 + 105*a + 554. Let w be m(-11). Solve v - 3 = -h - w, 3*h - v = 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 m when three letters picked without replacement from {x: 7, d: 1, m: 2, f: 1, u: 2, j: 1}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 312?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhbhhhbhhhhhhhhhb.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 - -129. Let s be 77*(1 + x\/3)\/(-2). Let u = -43 - s. Calculate the remainder when 133 is divided by u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*p + 13320 = -284*p + 38*p for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 48, 25313 in increasing order.\nAnswer: -12, 48, 25313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 354 (b) 4\/7 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.05757 * -7247\nAnswer: 417.20979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-7)*s))\/(s*s**(1\/6))*s*s\/((s*s**(1\/4))\/s)*s**3)\/(s*s**2*s\/(s*s*s**(2\/11)*s)*s**(-1\/6)\/s**(1\/6)) assuming s is positive.\nAnswer: s**(1333\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -0.4 (b) -5 (c) 14 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 10*y**2 - 12*y - 26. What is q(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**5*x*x**6*x\/x**(-6)*x*x\/(x*(x*x**(2\/11))\/x)*x*(x**(1\/3)\/x)**(-1\/27)*(x**(-2\/7))**(-1\/12) assuming x is positive.\nAnswer: x**(260291\/12474)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 641? (a) -0.3 (b) 2135 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**2*r**2*z**2 + 80*g**2*r**2 + 1023*g**2*r*z**3 - 2*g*r - 2*r**2*z**3 wrt z?\nAnswer: 6138*g**2*r - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 2. What is j(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 5\/6 (c) -2.74 (d) 0.5 (e) -4250\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/31 - -41\/62. Let s = 82.2 - -21.8. Is s less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*t*t)\/t*t**(-4)*(t\/((t\/(t\/(t**4*t)))\/t))\/t**(2\/15)*(t**0*t\/(t*(t\/t**(2\/13))\/t))**(-23) assuming t is positive.\nAnswer: t**(-1691\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 18*p**2 + 5*p - 10. Let s be k(-18). Let v be ((-2)\/8)\/(5\/s). Is v\/110*4 + (-11031)\/(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 plus 4228754.0813?\nAnswer: 4228753.9513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2, -3, 0, 925?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-21 - 1357\/(-46)) - -48?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.04 - -6. Let u = 2.96 - p. Let l = u - 1. Which is the nearest to l? (a) 1\/4 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4458 - 4464. Let n(k) = k**3 - k**2 + 2*k. Let x be n(3). Calculate the remainder when 66 is divided by (62\/q + 1)\/((-16)\/x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -206, -295, -384, -473, -562?\n\"Answer: -89*r - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*r + 16 = -0*y, 4*r = -3*y - 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.437 - -0.937. What is the second smallest value in -35, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - -1*sqrt(11))*-4)**2*-1.\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-4) - (-1241711)\/862. What is the greatest common factor of 36 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 120\/18379747 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**3 + 9*j**2 + 4*j + 4. Let n be k(-6). Suppose -693*w + 1850 = -688*w. List the prime factors of (-51)\/(2\/7 + w\/n).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/r**(3\/11)*r*(r**(-11)*r)\/r)\/(r*r**4\/r)**(-40) assuming r is positive.\nAnswer: r**(1680\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -362 less than -356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -788 - -790. Suppose 3*a + 3*a = -u*a. Solve a*b + 5 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*n + 9779962 = -44*n + 3673347. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3801.3 - -3803. What is the biggest value in -0.3, -2, j, -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*d**2 + 0*d**2 + 2*d**2)*(-2*d - 3*d + 4*d) + d**3 + d**2 - d**2 + (2*d + 2 - 2)*(d**2 + 2 - 2) + 61*d**3 + 45*d**3 - 87*d**3)*(-2 - d + 2).\nAnswer: -24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6932562 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + sqrt(2) - sqrt(2)) + 5*sqrt(14)\/sqrt(7).\nAnswer: 5 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5587 = b + 11712, 5*x - 28825 = 3*b. Is x a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 4:23 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 2\/9, 5\/4 in descending order.\nAnswer: 5\/4, 2\/9, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 5*k - 4. Let i be f(3). Let l be 2\/(1\/(-2)*1). Let o(a) = a**3 + 4*a**2 + a + 7. Let s be o(l). Sort i, 4\/5, s in increasing order.\nAnswer: 4\/5, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10053, 19989, 29853, 39645, 49365, 59013?\n\"Answer: -36*h**2 + 10044*h + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - z + 1. Let h(t) = -67*t**3 - 5*t**2 - 5*t + 6. Determine -h(b) + 5*n(b).\nAnswer: 67*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(168))\/sqrt(12) - sqrt(14))\/((-2*sqrt(20))\/sqrt(10)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 23 + 89\/5*q**5 + 0*q**3 + 0*q**4 + 0*q**2 - 56*q. Differentiate y(d) wrt d.\nAnswer: 356*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 8 + (29 - 8 - 7).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*s - 3*s = -112, 3*k - 3*s - 78 = 0. Let f = -8 + k. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 321*w + 39. Let y be v(4). Suppose 2*s - 2191 = -0*r - 5*r, 4*s = -3*r + y. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200437898 to the nearest integer?\nAnswer: 14158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + -3 + 2 + sqrt(20) + -3 + sqrt(320)*-1)**2.\nAnswer: -48*sqrt(5) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(20)\/sqrt(10)*-5.\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1162 divide 97146540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - 32*t**2 - 5*t - 85. Calculate x(16).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/440 and -41\/6645.\nAnswer: 584760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 27. Let l = g - 10. Let d = l + -5. Is 1 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(3 - 7 + 3)*(0 + 0 + 5)*(-2*g + 3*g - 2*g) to p*g + r and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.393 rounded to two dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 10:43 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 - -166. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/28 and -141\/70?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.6 take away 27.262188?\nAnswer: -43.862188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = -4*n - 1, -15 = -3*n - 5*m. Let j(u) = u**2 - 2. Let d be j(3). Is (d - n)\/((-1)\/(-7)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 47 = 3*l, -5*y - 4*l + 198 = -56. Calculate the highest common divisor of 20 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 + 5*c**2 - 2*c + 34. What are the prime factors of m(8)?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:20 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 greater than -27826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -7) + 1 - (-4 + -20 + 101).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 8:25 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -113 + 128?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 263 - 263.2. Let p = 0.64 - 0.34. Let s = 0.4 - 0.5. What is the nearest to s in o, 3\/2, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 80667*o + 403304. Determine u(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 11340756?\nAnswer: 22681512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5335703 is divided by 355.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**3 + 2*g**2 + 26*g + 32. Let a be i(-2). Solve v - 16*z - 10 = -a*z, 5*v + 22 = -4*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.3 and -1.\nAnswer: -10.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5632.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, -8.52, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfvzfvfzzvvffffffff. What is prob of sequence zz?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1996, 4166, 6688, 9736, 13484, 18106?\nAnswer: 23776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9*z - 6. Let q = 5 - 12. Let t = 1 + 5. Let p(w) = -8*w - 11. Let n(a) = 1. Let b(j) = 6*n(j) + p(j). Give q*b(x) + t*c(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 + 4*g - 4*g + (6*g**4 - 2*g**4 - 2*g**4)*(-2*g + g + 3*g) - 3*g + 3*g - 4*g**5 - 2 + 2 + 2*g**5 + 3*g**5 + g**4 - g**4.\nAnswer: 7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 795\/(-60))*(-80)\/(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -12*v - v**2 + 17*v - 10 + 2*v + 0*v. Determine f(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - p = u + 3, 0 = -67*p + 65*p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 2:13 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10211011201101 (base 3) in base 10?\nAnswer: 2030788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 255 + -10?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1100 divided by -724.\nAnswer: 275\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m**2 + 17\/3*m**4 + 1\/3*m**5 + 0 + 16\/3*m**3 + 0*m.\nAnswer: m**3*(m + 1)*(m + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g - 7*g + 69*g + 84*g + 3*g - 74.\nAnswer: 183*g - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/12*-3*-8. Solve 3*c + 9 = 3*g, -t*c + 2*g - 11 = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 76\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**35*f**(2\/39)*((f*f*f**(-32))\/f)**(-1\/6) assuming f is positive.\nAnswer: f**(3293\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 58\/376809?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 2*g = 3*v + 5, 5*v - 4*g - 7 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*p - 270, 0*k + 5*p = 2*k + 87. Is 24\/k + (-164)\/(-7) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (3 - (-5364)\/(-297))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9}. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q)**(-1\/30)*q**(3\/5)\/(q*q**(3\/4))*((q**(-1))**(-4\/19))**25 assuming q is positive.\nAnswer: q**(4613\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + -4.94. Suppose 12 + 2 = 4*k - 5*s, -3*s = 2*k - 18. Let w be (k\/(-8))\/(6\/4). What is the closest to 0 in y, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6382114979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Let d = 4 + x. What is the derivative of -4*b - d*b**2 - 2 + 4*b + 0*b**2 wrt b?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 10*u**2 + 2*u + 1. What is the remainder when 39 is divided by h(10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 12*o - 24. Let u be h(8). Let p(r) = 4*r**3 - 15*r + 11. Is p(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 7*r**2 + 4*r - 9. Let k = -3 + 10. List the prime factors of x(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -1\/4 (c) 0.3 (d) 4 (e) 106 (f) 450\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - d + 1)*((-4*d + 0*d + 3*d)*(-3 + 4 + 2) - 69 + 69 - 13*d - d - 2*d + 5*d).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54560 and 660.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351)*-4)\/(sqrt(3) - (sqrt(3) + sqrt(6)\/(-1*sqrt(2)))).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19461 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 4. Let y be o(8). Suppose 0 = -2*d + v + v - 46802, -4 = y*v. Let a be d\/3 - 8\/(-12). Round a to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 524, 7, -9, 1, -4 in increasing order.\nAnswer: -9, -4, 1, 7, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1111000000202002?\nAnswer: -1111000000202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 5*z**2 - 9*z + 9. What is h(7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119696*d - 105*x + 650 = 119694*d, 16 = -d + x for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 - 11*g\/3 - 14.\nAnswer: (g - 14)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1051877 and -7.038473?\nAnswer: 1051884.038473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 5*m = -4, c = 7*m - 4*m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r*r*r*r**(-2\/23)*r*r)\/r)*r**(-8\/3)*r**2*((r*r*r*r*r**(1\/6))\/r)\/r assuming r is positive.\nAnswer: r**(-65\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -121693 - 4?\nAnswer: -121697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 11:29 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((100\/15)\/4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 997150 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6667 - 59975\/9. Calculate the common denominator of 16\/1389 and q.\nAnswer: 4167","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (7 + -4)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83466 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (121 - 728826\/5061)?\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43932.\nAnswer: 2, 3, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 2, 1, -1 in ascending order.\nAnswer: -33, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 15. Let s = -6 - 4. Let z be q(s). Is z bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-1)*80\/56. Let y = f - 10. Solve -h - 1 - 1 = y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -114b + 1b?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14680, -14665, -14672, -14725, -14848, -15065, -15400, -15877?\nAnswer: -16520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -305.42 to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**4\/12 - 17*z**3\/9 - z**2\/6 + 17*z\/3 + 539. Factor o(r).\nAnswer: (r - 17)*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -3) + -3 - (-10 + 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzaz when four letters picked without replacement from {a: 2, w: 1, d: 1, y: 1, x: 2, z: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1407.44 + 1363. Let c = 44 + i. Let b = c - -0.440104. Round b to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(-1 + sqrt(125)*2 + 5) + -4 + 1)**2.\nAnswer: 2520*sqrt(5) + 18441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3667125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 0 - 41544*-8. Suppose -7*b + 1711349 - k = 0. What is b rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 - (1 + -7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + -8. Let o = 30 + q. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -163 + 330. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 450, 892, 1320, 1728, 2110, 2460, 2772?\nAnswer: 3040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z + 6 = 0. Let h be 3266\/(-710) + (-1)\/(-15)*(12 - 3). Put 1, z, -1, h in increasing order.\nAnswer: h, z, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3329768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*u**2*y**3 - 196*u*y**3 + y**3 - 106 with respect to u.\nAnswer: -8*u*y**3 - 196*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/5)\/13)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (24\/(-14))\/(-3). Let y = 0.825 - 0.825. What is the nearest to -1 in y, 1, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28853\/10 - -2883. Let v = 9\/5 + c. What is the closest to v in -4, 4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4209 and 732?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + x - x)*((-10 + 2 - 9)*(-2 - 2 + 2) + (-4 + 6 - 3)*(-6 + 5 + 3)) to the form p + d*x and give d.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 313229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*h = -4998 + 16983 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -718*s + 729*s - 528 = 0. Suppose 5*o - 25 = -2*l + 42, -5*l = -5*o - 150. Let p = s - l. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 984.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -8 + (-2)\/4*-2. Suppose 0 = -p + 2 - 3. Put -4, p, f in decreasing order.\nAnswer: p, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 4*u + 1765, -4*u - 1484 = -0*t - 4*t. Let v = -14 + 33. Calculate the greatest common factor of t and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**4 + 20*x**3 + 12*x**2 - 20*x - 16 = 0. Calculate x.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -68 - 18*x - 28*x - 11*x**2 - 6*x**2 - 34*x - 5*x**3. Let u(k) = k**3 + 1. Let m(d) = q(d) + 4*u(d). Find z, given that m(z) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2006 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36, -136, -422, -822, -1336, -1964?\n\"Answer: -57*g**2 - g + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.052 (b) -1.3246 (c) 1\/46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a38a1 - -5?\nAnswer: 2a38a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.1, -2\/5, -23, -0.07?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -251 + 248. Let c(l) = l**2 + 5*l + 9. Let s be c(u). Factor -15\/2*k**s - 7\/2*k**5 + 19\/2*k**4 + 0 + 1\/2*k**2 + k.\nAnswer: -k*(k - 1)**3*(7*k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011101 (base 2) in base 14?\nAnswer: -b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 412.2264 milliseconds?\nAnswer: 412226400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z - 48*z + 132*z - 40*z - 32*z.\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = c - x, -4*c - 8 = 3*x + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2784075033?\nAnswer: 3, 43, 47, 151, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**7\/525 + p**6\/75 - 2*p**5\/75 + 13*p**2\/2 - 10*p. Let j(w) be the first derivative of g(w). Solve j(t) = 0 for t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -355 + 357. Let r be (-2)\/d*1 - (-6 - 1). Solve r*o = 38 - 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2376.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -26. Suppose -596 = -5*t + x + x, -2 = -x. Calculate the highest common factor of a and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48915\/13 + -3763. Let t = -0.1 - -0.07. Which is smaller: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*14*26\/(-91). What are the prime factors of (16\/m)\/((-1)\/(-501)*2)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.38, 13, -0.1?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -5 - (0 + -2)) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 46974, 46997, 47020, 47043, 47066, 47089?\n\"Answer: 23*i + 46951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101101 (base 2) to base 14.\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 83 in ascending order.\nAnswer: 0, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/3 - 8732*l\/3 - 60928\/3.\nAnswer: -4*(l + 7)*(l + 2176)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 + -57. Suppose -3*t = z - 74. Calculate the greatest common divisor of 12 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.768 and 208.\nAnswer: -991.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*n**3 - 2 + 45*n**3 - 34*n**2 + 52*n**3 - 10*n - 199*n**3 + 55*n**3 to the form h + t*n + u*n**2 + c*n**3 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) -1\/4 (c) 5 (d) -3 (e) -242225 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002576709 rounded to seven decimal places?\nAnswer: 0.0002577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) -1\/138 (c) -5 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1237 divide 8185229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/((-95)\/(55860\/112)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385*t - 385*t + 16*t**3.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**3 + 3*z**2 - 21*z + 22. Let p be t(0). What is the greatest common factor of p and 814?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 - -12. Suppose 6*o + r = 603. What are the prime factors of o?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 12 = 0, 0*t + 3*t = 3*x + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7708316 a multiple of 1175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*f = -2718 - 727 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (71*t - 122*t - 67*t)*(-2 + 1 + 0)*(-2 + 2 - 3*t) in the form r*t + m*t**2 + s and give m.\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2221793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202 - b**2 + 0*b**2 + 979 + 4*b**2.\nAnswer: 3*b**2 + 777","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g - 7 - 7*g + 16 - 7 in the form d*g + h and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 636*a - 1. Let r(z) = -z + 82. Calculate m(r(i)).\nAnswer: -2*i**2 - 308*i + 38703","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + f**4 + f**3)*(-1 + 6 + 0)*(-1 - 3 + 0).\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 425 - 421. Let b be 108 + 0 + (7 - 11). What is the smallest common multiple of b\/3 + 8\/(-12) and r?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 8:52 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - -19. Suppose s = 11 + m. What are the prime factors of s?\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 {a: 8, b: 3}. What is prob of picking 2 a and 2 b?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14995261 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439557.\nAnswer: 3, 146519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2465389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + 0.28. Let g = -5 - -4.95. What is the nearest to -2\/5 in p, g, 3\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + 38. Let f = 14.6 + k. Let a = f - -2. Sort 1, -1\/5, a in decreasing order.\nAnswer: 1, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**5\/8 - 263*r**4\/8 + 162*r**3 - 193*r**2 - 130*r + 258 = 0.\nAnswer: -1, 2, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 9*j. Suppose j = 27*p - 29*p - 8. Which is the closest to 5? (a) -0.05 (b) -0.4 (c) -0.2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*i - 19. Solve -4 = -a + t + 3, 5*a = -i*t + 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**3 + 7*l**2 - 7. Let o(q) = -q**3 + q**2 - 1. Let b(a) = 6*o(a) - r(a). Let k(d) = 2*d**3 - 3*d**2 + 1. Calculate -3*b(m) + k(m).\nAnswer: 5*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 + 170. What is the highest common divisor of d and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -0.4, 322 in decreasing order.\nAnswer: 322, 3, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 316\/(-1106)*14\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 20 = -3*n, z - 10 = 3*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 5*c**2 + 12*c - 10. Let o be k(7). Calculate the common denominator of -5\/2 and o\/206*100\/(-30).\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/16*31*(-36)\/(-18)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4932 + 0.0932. Let g(y) = -y**2 + 3*y - 1. Let l be g(3). Let p = l + 4. Which is the nearest to p? (a) -2\/11 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3606400?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/(-16))\/(12947646\/4315880 - (8 - 5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -465\/52 - -48\/13. Let t = d + 91\/4. Let c(k) = -3*k - 4. Let w be c(-7). Which is smaller: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - 10. Suppose -q - 3*h = 3, 2*h - 28 = -4*q - 10. Let y be o(q). Solve -y*r - 5 - 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 20*c - 24. Let g be d(-7). Let f be 76\/(-114)*g\/(-4). Solve -y + 3*z = 1 + 5, f*y - 3 = 2*z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 40 = 14. What is the third derivative of -62*b**w - 6*b**2 - 16*b**2 + 40*b**2 wrt b?\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 132564 + 5880 = 0. What is the tens digit of (-16)\/(-88) - (s\/(-22) + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5264.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, k: 1, e: 4}. Give prob of sequence kh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*b + 8578 = 4630 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -286 at most as big as -7411\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*q)*(2*q - 2*q + 4*q)*(0 - 2*q**2 + 0)*(4 + 0 - 3) as r*q**3 + o + z*q**4 + h*q**2 + m*q and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1139\/201 - (-3 - 44\/(-12)). Solve i*v - 7 = 3*v - y, -18 = -5*v - 3*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527393 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(-7 + 0 + 28 - 6*x + (2*x - 1 + 1)*(2 + 0 - 1)) as p + v*x and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 5, j: 3, m: 4}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 k when three letters picked without replacement from {m: 3, h: 1, e: 2, o: 4, k: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) - (-14)\/6. Let h(g) = -g**3 + 3 + 3 - 3 + 0. Let i(z) = z**3 - 2. Give f*i(a) + 2*h(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19686, -73645, -163576, -289479, -451354, -649201, -883020?\nAnswer: -1152811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**3 + 30*j**3 + 814*j**2 - 14*j**3 - 108.\nAnswer: 2*j**3 + 814*j**2 - 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**4\/6 + 5*v**3 - 67*v. Let w(j) = -3*j**2. Calculate s(w(z)).\nAnswer: -18*z**4 - 90*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4*2.1\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 79540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27243*f**2 + 27243*f**2 + 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 2, a: 1, u: 1, g: 2}. What is prob of sequence ul?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -7 (b) -1 (c) -121 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 6 - (12 + 70\/(-7)). Let j(p) = -p**2 + p - 2. Give j(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 53*q**3 - 17*q - 46*q**3 - 49*q**3 + 136*q**3 to the form u*q**2 + w*q**3 + d*q + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - g + 4*g)*(9*g - 5*g**3 - 9*g) + (12 + 5 + 3)*(-3*g**4 - 4*g**4 + 5*g**4) as h*g + z*g**4 + s + d*g**2 + f*g**3 and give z.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1455463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -8*l + 8. Suppose 239 - 2565 = -l*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i - 59. Round i to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20132221 (base 4) to base 7.\nAnswer: 203152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15906 and 264?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-1) + -2)*-1. Let p = 6095 + -6072. Which is the second smallest value? (a) p (b) n (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 183 = -4*x, 0*a + 535 = 3*a + 5*x. Let c = -170 + a. Solve 0 = -2*j - c - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05355 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-945)\/(-60) + 3\/(-4). Solve 0*g + 3*g + b = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h - 200 = -19*h. Find the common denominator of 70\/27 and ((-177)\/h)\/(15\/20).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 439348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 2*q**3\/3 + q**2 + q + 2. Let f be i(-3). Let w(u) = -u - 2. Let n be w(-2). Solve n = 3*r + 3*s + f - 1, -r = -s - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -0.09 (c) 549 (d) -5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-7))\/((-2)\/84). Calculate the remainder when (-3 + m\/(-8))\/((-3)\/(-280)) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**5\/20 + m**4\/4 - m**3\/3 - 3*m**2\/2 + 19*m + 7. Let l = 11 + -15. What is a(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6478051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1776825451?\nAnswer: 19, 93517129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 287736188021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * -0.5.\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 370569259?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 7:21 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242 and 36784.\nAnswer: 36784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0. Suppose 20*p = 22*p - 8. Let h be (18\/p)\/((-6)\/6). Which is bigger: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1069691805?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2406598 rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2. What is the common denominator of 0\/3 + 70\/12 and 83\/(-4) + d\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2107 - -2110. Sort 1.26, -4, -3, z in increasing order.\nAnswer: -4, -3, 1.26, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 2*o + 8. Suppose 0 = -5*u + u + 124. What is the remainder when u is divided by c(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00646566 rounded to 5 dps?\nAnswer: -0.00647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjj when three letters picked without replacement from jbjbjjjb.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + k + 2*k - 4 + 4 + (-1 + 3 - 3)*(k + 0*k + 2*k) - 7*k + 0*k + 15*k - 1 + 1 + 2*k)*(-2 + 2 - 4).\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624 + 1591*k**2 - 624.\nAnswer: 1591*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207*j - 304*j - 75*j - 43*j to the form k*j + n and give k.\nAnswer: -629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Suppose 0 = -5*m - t - 13, -t - 3*t = -8. Let v be (-12)\/(-9) - 23\/m. Solve -g + v = -k - k, 5*k + 4*g + 29 = p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 12:11 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.04 + -22. What is the biggest value in -0.4, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04284 and -3.\nAnswer: -0.12852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4. Let t be 20*4\/32 + (-30)\/(-12). Let k(h) = -7*h**3 + 7*h**2 - 5*h. Let s(v) = 6*v**2 - 2*v - v**2 - 3*v**3 - 2*v**2. Determine o*k(l) + t*s(l).\nAnswer: -l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -4. Let g = 0.96 + 0.04. Let w = g - 4. Which is the third smallest value? (a) w (b) -6\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54636.255 and -3.\nAnswer: 163908.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -849, -1928, -3441, -5388, -7769, -10584?\nAnswer: -13833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 3458498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 40*b + 408115. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*sqrt(9)\/sqrt(3).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 245, -0.3, 1\/7, -0.5, -3 in decreasing order.\nAnswer: 245, 1\/7, -0.3, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (23 + -5)) + (5 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 9009?\nAnswer: 117117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -1613*j + 3267*j - 1880*j. Let u(m) = -12*m**2. Determine u(r(y)).\nAnswer: -612912*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 d when four letters picked without replacement from ddddddddddddddfddd?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**5\/j*j**(-3))\/(j\/j**1*j)**(3\/14))**17)**(-6\/19) assuming j is positive.\nAnswer: j**(-561\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24 (b) -2\/15 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 869 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49 and 0.3?\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16953 + 16952.91. What is the second biggest value in -0.002, 0.5, -1\/3, -2\/17, b?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 3*a**2 + 2*a**2)*(16*a**2 + 44*a**2 + 53*a**2) + (a**3 + a**3 - 4*a**3)*(-a + a - a).\nAnswer: 115*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 4*g - 2 = 0, -95*g + 99*g = 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwwwwuuw?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.53 + 2.81. Let h = d + -5.28. Which is the nearest to -3? (a) 9 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*d - 119 = -239*d - 250*d + 13 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 54. Which is smaller: -0.023 or d?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1773 - 1556 = -49*c + 1571. Let o(u) = 2*u**2 + 4*u + 4. What is the least common multiple of c and o(-4)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2 + 4*h + 1. Let l(n) = -20*n**2 - 15*n - 5. Calculate 2*l(r) + 9*v(r).\nAnswer: 5*r**2 + 6*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -4\/9, 8457.\nAnswer: -4\/9, -2\/15, 8457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 131*i**2 + 1447*i + 1325. Let u(t) = t. Let j(k) = 2*k**3 - k**2 - 4*k - 1. Let h(p) = j(p) + 5*u(p). Let z(b) = 2*h(b) + r(b). Factor z(d).\nAnswer: 3*(d + 1)*(d + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:36 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31*(6\/(-2))\/((-384)\/(-128))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -6937632\nAnswer: -1\/6937632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 2523?\nAnswer: 252.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(f*f**(1\/5))))**(-20)\/(f**(-2\/5)\/f*f**(6\/13)*f))**34 assuming f is positive.\nAnswer: f**(-97376\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/45 or 0?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 24*l**2 + 372*l - 8757. Calculate s(18).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4c2f0 (base 16) to base 6\nAnswer: -10404400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3924046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9634 - 6067. What are the prime factors of b?\nAnswer: 3, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 256 (base 8) to base 4\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2300130 - -3?\nAnswer: 2300133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 6*v**2 + 5*v + 2. Let t be i(5). Suppose -3*b = -5*j + 37, 3*b = -j - b - 11. Suppose 0 = -l + j*l. Solve l*h + 6 = t*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -18 + -7 - 2 - (-501)\/36?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3 - -3) + -1)*0. Let l be (13 + j - 3)*-1. Let d = 27 + l. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12*x + 58 - 34 = 0, -3*x - 4 = h. Solve -l + h = 10, -l = 2*k + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*sqrt(21)\/sqrt(3) + sqrt(343) + 3)**2.\nAnswer: 78*sqrt(7) + 1192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 0.23.\nAnswer: -6.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y**2 + 2*y**2 - 2*y**2)*(-1060*y + 393*y - 1914*y) - y**3 - 2*y**3 + 5*y**3 in the form o + d*y + h*y**3 + p*y**2 and give h.\nAnswer: -10322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -0.0579557?\nAnswer: 1.9420443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.14 and 24189617 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103.396 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(312)\/sqrt(54) - (sqrt(520) + 2*-5*sqrt(520))\/sqrt(10))**2*1.\nAnswer: 40768\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133.7 - 123. Let x = 692321.69758 - 692311. Let d = i - x. What is d rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 19*k = 396. Let a = k - 130. Solve 4*v = a*d + 20, -v - 3*d = -4*v + 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a + 12*a - 8 + 16*a - 5*a. Let c be b(8). Calculate the remainder when 69 is divided by ((-18)\/(-7))\/(24\/c).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 36*y**2 - 116*y - 34. Determine c(39).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + -3*sqrt(425)*-3 + 3 + 4 + 0)**2.\nAnswer: 700*sqrt(17) + 42549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*c + q, 3*c - q = 5*c - 3. Let t = c + -4. Is t <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 4. Let r = 9 - 9. Let m be (0\/3)\/(r + 2). Calculate v(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*t + 1603 - 1617 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*((2 + sqrt(21)\/sqrt(3))**2 + sqrt(7) + sqrt(7)).\nAnswer: -24*sqrt(7) - 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, i: 1, c: 2, y: 2, x: 2, j: 1}. Give prob of picking 2 c.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -691030632 to the nearest one hundred thousand.\nAnswer: -691000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 19 = 4*m - 1, m = -3*n - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**4\/2 + q**3 + 57*q**2\/2 + 21. Find the second derivative of c(m) wrt m.\nAnswer: -12*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 503 (base 16) to base 5\nAnswer: 20113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w + 77 - 7*w - 77.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*k + 3*h, 57 = 4*k + 7*h - 2*h. Let l = k - 5. Factor 20*s**3 - l*s**4 + 10*s + 2*s**4 - 2*s**5 - 2 - 4*s**4 + 4*s**5 - 20*s**2.\nAnswer: 2*(s - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15487536761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -240010 (base 5) to base 8\nAnswer: -21063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 l, and 1 b when three letters picked without replacement from {y: 3, l: 1, c: 2, m: 3, h: 3, b: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*t + 3*q, 0 = 2*t - q - 0 + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15023778 divided by 2046\nAnswer: -7343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5\/3 + 10*r**4\/3 + 6*r**3 - 26*r**2\/3 - 56*r\/3 - 8 = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47383 is divided by 2313?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -43*k**2 - 17*k - 15. Let f(c) = -21*c**2 - 8*c - 7. Calculate -9*f(r) + 4*h(r).\nAnswer: 17*r**2 + 4*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 1:45 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w + 5*o + 80 = 0, -8 = -18*w + 15*w - o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3753715.\nAnswer: 5, 7, 23, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*s - 56*s + 38*s + 1 to the form f + z*s and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/155 and 11\/14756.\nAnswer: 73780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(-11)\/(374\/952)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18137847 from 2.\nAnswer: -18137845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 68558 (base 12) to base 3\nAnswer: 21001201012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-36003)\/132011 + (1641\/1925)\/3\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -20) + (-81 - -63).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -3843\nAnswer: -1\/1281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + 3658\/(-10))\/(24\/(-60))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-4) + 1\/(-2). Let q be -5*(3 - (4 - 0)). Suppose 3 + 2 = -q*f. Put -2, j, f in increasing order.\nAnswer: j, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 - 207*x + 449*x - 3*x**3 + 7*x**3 - 242*x.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 994*q**3 + 10265*q**2 - 5134*q**2 - 5131*q**2.\nAnswer: 994*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3*k - 9*f**3*y + 188308*f**3 + 126910*f**2*k**2*y - f*k**2 + 2*k**2 wrt y.\nAnswer: -9*f**3 + 126910*f**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1529*w**2 - 26*w - 248. Let m be l(-14). Round m to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8318301869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -23. Let m be (-80)\/o + 20\/(-130). Solve -j + m = -4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tptnttttpt. What is prob of sequence ttnp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9 + -2. Let p = 55 + -59. What is the nearest to w in 3\/4, -4\/3, p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(117) + -2 + 1 + 5*-1*sqrt(117) + sqrt(117) + -5 + sqrt(117)*-3*3)**2.\nAnswer: 1296*sqrt(13) + 50652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8474381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*n**3 + 17 - 2 - 11 - 5 with respect to n.\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2050*s**2. Let g(t) = t. Give g(d(i)).\nAnswer: -2050*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 15) to base 9\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, 4, 0.4, -0.09, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 29 times 47191\nAnswer: 1368539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1147\/30 - 519\/10. What is the common denominator of q and 79\/1536?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 26*a - 9. Give t(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*f**3 + 25 + 5*f + 6*f - 2*f**3 + f.\nAnswer: 202*f**3 + 12*f + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 4:30 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b**3 + b**2. Let p be c(-1). Solve -4*o = -p*o + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a284b2a + -6?\nAnswer: a284b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 8*a - 4. Let d be r(13). Suppose t = -2*o + d, 0 = -t + o - 0*o + 70. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q - 30. Let z be h(-8). Suppose -2*n = 4*k + 8, -4*n + k = z*k + 16. Which is the nearest to -1? (a) n (b) 1\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7666, -7669, -7672, -7675, -7678, -7681?\nAnswer: -7684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/11 (b) 2\/17 (c) 17\/60 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 75*h + 603. Let i be d(10). Does i = 1353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**2 - y**3 - 1 + 3*y**3 + 3*y**2 in the form f*y + t*y**3 + z*y**2 + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 0. Let o(w) = -t*w + 3*w - w. Let x(d) = d. Determine x(o(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 17*y**2 - 67*y + 21. Let s be i(6). Solve -20*r + s = -17*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (3 - (-26 + 14)) + -1 - 126) + -7.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.6 - -5.4. Let l = 1543\/2555 + -2\/511. Let j = 64 + -574\/9. Sort j, o, l in descending order.\nAnswer: l, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2) + -76*(-10)\/(-80)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*y**4 - 132*y**2 - 86 wrt y.\nAnswer: -8*y**3 - 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b = 20*b + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**2 + 7*y**2 + 147 - 160)*(7*y + 4 - 4) + 0*y**3 - 2*y**3 + 3*y**3 + (-y**2 + 0*y**2 + 0*y**2)*(-3 + 3 - y).\nAnswer: 9*y**3 - 91*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37474 is divided by 390.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*z = -39*z + 172*z - 3312 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 2. Let z be h(-2). Solve -4*y - 3 - 1 = z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/32895 and -56\/1305?\nAnswer: 953955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*u = 324, 3*w + 3*u = 7*u - 188. Calculate the remainder when 93 is divided by w*8\/64*-4.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 14*l**2. Let j(w) = 185*w + 34. What is j(g(d))?\nAnswer: 2590*d**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.23 - -0.23. Let c = i + 0.04. Let v = -3 + 2.9. Which is smaller: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.028202l?\nAnswer: 5028.202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 1 (b) 3 (c) 0.1 (d) -1\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/12)\/((-1)\/327). Let c = 4795\/22 + d. Is 0 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322407820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11001 is divided by 5475.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**3 - 1. Let y(u) = -1 - 6*u - 12*u**2 + 9*u**2 + 4*u**2. Let q be y(6). What is the units digit of n(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffxf when four letters picked without replacement from fxfxxf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 25 - 0 - ((-15 - -45 - 16) + -19)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168020 - -1.3.\nAnswer: -168018.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4774\/521 (b) 0.4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 2*a - 1. Let b = -5 - -11. Let t be b\/1*10\/(-20). What is v(t)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.3422358 minutes?\nAnswer: 20534.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, -4, 6, 20, 38?\n\"Answer: 2*x**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1126 and 6?\nAnswer: 3378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrrv when four letters picked without replacement from rrrvrvrrr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 3 + 3)*(0 + 3 + 1) + (-4 + 19*g + 4)*(-10*g - 34 + 34).\nAnswer: -198*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**2 - 32*r**2 + 6*r**2 + 14*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 333 = -4*r, 0 = 1099*h - 1102*h - r + 204. Solve -56*i + h = -43 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6872, -13734, -20584, -27422, -34248, -41062?\nAnswer: -47864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 20 = -3*n, 0 = 3*l + 2*n - 0 - 5. Suppose 0 = -6*g + 2*g + 8. What is the second derivative of 0*j**g + 4*j - j**2 - l*j wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2 = 4*s, 0*s - 2 = -x + s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1) + 0 + 13. Let g = -10.487 + 10.787. Which is the nearest to j? (a) g (b) -0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 1940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4742, 9488, 14234, 18980, 23726, 28472?\n\"Answer: 4746*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92 - -93) + 8 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/10964 and -89\/8?\nAnswer: 21928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151 + -158 + (0 + 4 + -6 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2 - 0. Suppose -2*b + 14 + 2 = p*l, -10 = -b - 3*l. Suppose -v = -2*v + 3*f + 13, f = 3*v - b. Are v and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 1156 + 1106 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 194899393.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 752 + -754. Let w = -0.3 + 0.2. Let i = 0.2 + w. What is the third biggest value in a, i, 5\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9486*k - 107008 = -10894*k for k.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 654 and 3755922?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16659805 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346 = -4*j + 182*j + 5*i, -3*j + 688*i - 690*i = j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.38371 kilograms in nanograms?\nAnswer: 95383710000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*m + 3, p - 4 = 5*m - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 31*l + 31. Let d be w(32). What is the closest to -1 in d, -3, 2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**13*g\/(g**13*g) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1512661 and -208.\nAnswer: 314633488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 15227006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61811983.\nAnswer: 17, 3635999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 45. Let u be -2*1 + 10 + 4 + 4. Let x be i(u). Find the second derivative of -33*c**2 + 12*c**2 + 44*c + x*c**2 wrt c.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 1. Let h be b(3). Suppose -h = -2*j + 6. Suppose -67 = -j*s - 3*c, 5*s - 38 = 2*s - 4*c. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/2*(-4 + 3). Suppose o = -3*a, 0 = 3*x + 4*a - 2*a - 3. Which is smaller: x or 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4834 is divided by 125?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 5*l**2 - 4*l + 16. Determine n(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -21*l**3 + 6*l**2 + 6*l + 6. Let d be (-54)\/18*(-5 - -3). Let b(u) = -85*u**3 + 25*u**2 + 25*u + 25. Give d*b(z) - 25*y(z).\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/9 and 14\/224421.\nAnswer: 673263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 10*w**2 - 18*w + 53. Calculate the remainder when 251 is divided by n(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2738652 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from {r: 1, j: 3, v: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(6))\/sqrt(3) + 5 + sqrt(2) + -2 + 2*sqrt(50)*2)**2.\nAnswer: 120*sqrt(2) + 809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2826?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**5\/5 + h**4\/5 - 12*h**3\/5 + 4*h**2\/5 + 16*h\/5 = 0.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.92 - 0.08. Let i = 7.02 + o. Which is the biggest value? (a) 1\/3 (b) i (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from jjw?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 4606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -26\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4670842807 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 160?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**4 + 241*o**3 - 1425*o**2 - 489*o + 11. Let g(a) = a**4 + 48*a**3 - 285*a**2 - 98*a + 2. Let q(k) = -4*b(k) + 22*g(k). Factor q(f).\nAnswer: 2*f*(f - 5)*(f + 20)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1758\nAnswer: 5\/1758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 7.7. Suppose 52*c - 4 = -38*c - 4. Let n = 1 - 0. Put c, j, n, -4 in ascending order.\nAnswer: -4, j, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17903638 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6809 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*i**2 + 112*i**2 + 15*i**3.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542627771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from {a: 2, l: 2, e: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/6 and -89\/128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*j - 252, 0 = -3*y - 5*j + 9*j + 756. Let g = 292 - y. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.9685 years in decades?\nAnswer: 4.39685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 149, 7, 95, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 18. Suppose 0*u = -r*u + 180. Calculate the remainder when 104 is divided by u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3035279503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millimeter in micrometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 219581668925900\/2002581 - 109649332. Let z = -113864753159\/20025810 + c. Let w = z - -5698. What is the common denominator of w and -13\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4349243535 a multiple of 7917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzxvzgvvxlzeze. What is prob of sequence lvxg?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 7*q**2 + 2*q - 8. Let s be l(6). Suppose -4*d = -2 + 22, -5*d = -5*u + s. Let p = -0.1 - 1.9. What is the biggest value in u, 3\/2, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 41 - 1 = 0. Suppose 3347 = y*g - 1038. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 592.\nAnswer: 14800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5940117, 5940118, 5940119, 5940120, 5940121, 5940122?\nAnswer: 5940123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/48*3 + (-2)\/8. Let w = 16 - n. Calculate the smallest common multiple of 22 + 3\/6*8 + -4 and w.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 127*h**2 - h - 1. What is the remainder when v(-1) is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 14.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 4*b**2 + 5*b - 1. Suppose -29 = -8*n + 59. Suppose n*c - 2*c + 36 = 0. Calculate i(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w - 4*w + 5*w**3 + (-4 + 2*w + 4)*(-3 - 3*w**2 + 3).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/80 and -1\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3634673529 to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 3*s + 3*s)*(s - s + s) + (-3*s**3 - 3*s**3 + 5*s**3)*(-2*s - 3*s + 3*s) + (4*s**3 + 2*s**3 - 4*s**3)*(932 - 63*s - 932).\nAnswer: -125*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.202 + -0.208. Is 1 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 15*w + 16. Let u be h(-10). Let i be 2\/4*2 + -68. Let g = i - u. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f + 33473 = -15*f. List the prime factors of f.\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112310 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 274 - 64. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3895 and 73\/80.\nAnswer: 62320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1594 and -123.293.\nAnswer: 19.6529042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1880, 1884, 1890, 1898?\n\"Answer: j**2 + j + 1878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 2 + 6)*(4*k**3 + 0*k**3 - 2*k**3)*(-2 + 2 + 2*k).\nAnswer: 56*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*l - 79*l + 61256. Calculate the remainder when l is divided by 148.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 70*w + 915. Calculate r(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2523185173.\nAnswer: 2523185173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 529*t**3\/2 + 46*t**2 + 2*t = 0. What is t?\nAnswer: -2\/23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/7 (b) -0.3 (c) -5 (d) 3\/4 (e) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*a + 3455, -4*a = -0*a - 5*i - 2785. What is a rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -451*v**3 + 5*v**2 + 28*v - 269. Let h(z) = z**3 + z**2 + 5*z. Let x(j) = a(j) - 5*h(j). Differentiate x(s) with respect to s.\nAnswer: -1368*s**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 110\/30 - (-2)\/(-3). Let i(d) = -20*d + 10*d + r*d**2 + 10*d. Let z(v) be the second derivative of -2*v**3\/3 - 17*v. Give z(i(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2382591952 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 21*a**2 + 13*a - 6*a**2 - 5 - 2*a**2. Let o(q) = 7*q**2 + 6*q - 2. Let z(m) = 2*h(m) - 5*o(m). Find the second derivative of z(v) wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31774 or -37296?\nAnswer: -37296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 407161 a multiple of 582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60674064?\nAnswer: 2, 3, 11, 114913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 - -1. Let a = c - 0.13. Let y = -2 + 3. Is a at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**2 + d - 2. Let v be s(1). Suppose 0 = v*w - i - 233, -2*w + 3*i - 156 = -5*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 8\/15, -0.02935, 1.5, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*p**2 - p**2 - 6*p**2)*(-p**3 + p**3 + p**3) + 2*p**5 - 10*p**5 - 3*p**5.\nAnswer: -27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7837 - ac?\nAnswer: -78e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 413 and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 2*k**6\/3 + 11*k**2\/2 + 4*k. Differentiate r(i) wrt i.\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-14 - 4) - (-1 + -1 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4397057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -12. Let n = -147 + 146.6. Which is the second biggest value? (a) n (b) d (c) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 176 - 250. Let t = -74 - k. What is the nearest to t in 1\/9, -1.2, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, r: 5, w: 2, t: 2}. Give prob of picking 2 w and 1 x.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4750 (base 9) to base 6.\nAnswer: -24200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/33*(-5)\/((-525)\/6).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnqevqnqqqggqq. What is prob of sequence qq?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1519\/980 - -2*(-3)\/(-24)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 186*a**3*j**4 + 36*a**3*j + 7*a**2*j - 2*j**4 wrt j.\nAnswer: 2232*a**3*j**2 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8*3\/(-84)*1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 + -249. Let g = 177 + z. Solve 3*m - g*a + 27 = 0, 0 = 3*m - 3*a + a + 23 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 108*d + 2136. Let r be v(26). Let c(t) = t**3 - 2*t**2. Let l be c(2). Solve -2*u = -l*u + r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-8))\/((-5)\/(-20)). Suppose 2*c - 3 - d = 0. List the prime factors of (-40)\/c*(-16)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 + (8 - (7 - 2))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 5*m - 78. Let c be y(-14). What is the greatest common divisor of 504 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 15. Suppose 3*a = -5*y - 25, -y - 5 = w*a - 5*a. Suppose -2*m - 4*p + 8 = 0, m + a*p = 2*p - 4. Solve -3*x + 2*x = m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80 + 162 + 5*q**2 + 33 + 100 + 160 to the form p*q + w + m*q**2 and give w.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*s + o - 16080000 = 57*s, -s + 4020000 = -o. What is s rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erdrreeieezeed. Give prob of picking 3 r and 1 i.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -39360 divided by 5\nAnswer: -7872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 - -65. Sort -2, c, -3, -0.1 in descending order.\nAnswer: -0.1, -2, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -40*g. Let v(r) = 54*r. Determine y(v(s)).\nAnswer: -2160*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 4278\/11 and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 28. Suppose 22*m + 60 = 18*m. Let s = m - n. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**4\/4 - 5*y**3\/3 - 41*y**2\/2 + 4*y - 165. Let b be q(11). Calculate the highest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, c: 15}. What is prob of picking 3 x and 1 c?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 1410?\nAnswer: 12690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -5 (c) -0.09536\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 0. Suppose -9 = -3*w + d. Calculate the highest common factor of w and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 44*y**3 + 1 + 37*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3295600 divided by 1925.\nAnswer: -1712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/364*(-3)\/3*(-36)\/(-9)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - 83 - -84) + 13 + -5.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 141 = 11*z. Let a(d) = d**2 - 12*d - 1. What is a(z)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 y, and 2 c when four letters picked without replacement from {c: 5, z: 4, y: 3, m: 5, h: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 2*k**2 - 13*k - 21. Calculate x(-5).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12102120002111000 - -2?\nAnswer: -12102120002110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-718)\/(-130) + 1029\/13377\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r**(-2\/21))\/r))\/((r**(7\/5)\/r)\/r) assuming r is positive.\nAnswer: r**(178\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 16*d - 79. Let y be l(-24). Suppose -3*g + y = 41. Let n = 9 + -5. Calculate the greatest common divisor of g and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*a - 58*a**2 + 42*a + 52*a - 196*a**2.\nAnswer: -254*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114928 is divided by 3830?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 220 + -222. Let v(a) = -1897*a - 7. Is v(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22574727 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1855)\/(-7)*(-11*(-24)\/(-2640))\/((-2)\/4).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 2*t**2 - 2*t - 1. Let h be p(0). List the prime factors of 3*h\/2*-10.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390589 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 18 = -5*i, -3*q + i = 6*i - 26 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(18)\/sqrt(3))\/(sqrt(3) + sqrt(24)\/(sqrt(8)*-3) - sqrt(3)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5384 + 47529 = 5*m, 5*m = -3*y + 52901. List the prime factors of m.\nAnswer: 2, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 42 - 4*p)*(15*p + 0*p + 4 - 9*p)*(-7 - 1 + 2).\nAnswer: 144*p**2 + 96*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 14, 7 in descending order.\nAnswer: 14, 7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 2*s - 3*s)*(4 + 2*s**4 - 4 + 2*s**4 + 2*s**2 - 2*s**2 + (2 - 6 + 3)*(2*s**4 - 6*s**4 + 2*s**4)).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 872951*w + 436475.\nAnswer: (w - 436475)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -25 + 15 - (0 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -845.\nAnswer: 1\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 6*l - 8. Give x(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2916514147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2320*d - 2329*d - 9 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 - -256. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63 + 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 - t**4 + 5*t**4 + 5*t**4 + 16*t - 16*t + (-2*t**3 + t**2 - t**2)*(-2*t - t + 7*t))*(-t + 2 - 2).\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*c - 3*c**2 - 8*c + 52*c**3 - 6*c + 5*c to the form x*c**3 + y*c**2 + u + r*c and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -27*(1\/(-2))\/(33\/44). What is the second derivative of 31*n**4 + 24*n + w*n**4 + 36*n**4 + 62*n wrt n?\nAnswer: 1020*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 17*q - 7. Calculate m(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l + 11. Let y(h) = h + 2. Let w(k) = 2*i(k) - 11*y(k). Let t be w(8). Let z = t + 16. What is the smallest common multiple of 12 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4543 + -4543. Factor -2\/3*n + k - n**2 - 1\/3*n**3.\nAnswer: -n*(n + 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqjarrqrraqa. Give prob of sequence rra.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -18 + p**2 + 4*p**3 + 5*p**2 - 5*p**3 - 1 + 17 + 5*p. Suppose 2*k - 6 + 0 = 0. List the prime factors of j(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 988*h**2. Let f(w) = 3*w**2. What is g(f(s))?\nAnswer: 8892*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4582*s**5 + 20*s**2 + 320822*s wrt s?\nAnswer: 91640*s**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*i - 82*i + 8 + 330*i - 78*i - 86*i - 256*i**2 in the form l*i + u*i**2 + f and give u.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/28)\/3*(-16)\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 5776963.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1908 - -1908.2. Sort -4, -0.44, -5, c in ascending order.\nAnswer: -5, -4, -0.44, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0732 - 535.9268. Which is the second smallest value? (a) 1 (b) 3\/2 (c) 2\/11 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 39*b + 270 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353013 (base 6) to base 13.\nAnswer: 10b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29473*k*t**3 + 19*k*t**2 + 21*t**3 + 18239*t**2 wrt t?\nAnswer: -176838*k + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (5 + -2 + -1) - (24 - 6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6661519\/226 + 29476. Find the common denominator of b and -39\/791.\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + x + 0*x - 48 = 0, 2*p - 5*x - 60 = 0. Suppose -2*a + p = -21. Suppose -5*f - 7 = 2*w - a, -3*f - 5*w + 2 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -19*c**5\/10 - 4*c**2 + 30*c. What is the derivative of o(m) wrt m?\nAnswer: -114*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 0.2, 0.1 in descending order.\nAnswer: 0.2, 0.1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 291272551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/3 + (-4)\/(-6). Let s(w) = w - 4. Let l be s(6). Let n(j) = -7*j + 2*j**l + 7*j - 2*j - 2. Give n(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105639 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114128\/7009 + -716\/43. What is the smallest value in -2, 3, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*y - 2, 4*l + 0*l + y + 1 = 0. Let b be ((7 - l) + -1)*1. Let g(s) = -7*s + 5. Let z(f) = 6*f - 4. Let m(h) = 5*g(h) + 6*z(h). What is m(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkhxhhhxhkhhh. What is prob of sequence xkxk?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4 = 2*r. Let b = r - -12. Calculate the least common multiple of b and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -1) + 10 + -5 - (-7 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (sqrt(17) + -1)**2) - (4 + sqrt(425)*-1)**2.\nAnswer: -419 + 38*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80.9296 - 116.938. Let c = -36 - r. What is c rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23856003 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1397)\/(-15) + 206\/(-1545) - (1 - 0). Solve 0 = -m*w + 101*w - 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p - 99612. Let l(y) = -y. What is l(h(c))?\nAnswer: 8*c + 99612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 38802244 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*q - 2*q. Let t = 1.786 + 0.154. Let z = t - -0.06. Which is the closest to q? (a) 1\/3 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (3 + -1 + -5). Suppose -4*r + 5*c - 6 = -7*r, -5*r + 2*c = -41. Let x = r - b. Solve 0 = -x*g + 6*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -1. Let d = 42.73 - 42. Let z = d - -0.27. Is z greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = h. Solve 15 = -0*n + h*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659935?\nAnswer: 5, 89, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 8*q**2 - 123*q - 50. What is the units digit of f(34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-23 - -20) + 26 + -161.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.045 + 0.046. Round i to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -12*g**3 + g**2 - g + 1. Let q be l(-2). Let z = q - 62. Suppose b - 4*x - z = 0, 0*x - 83 = -3*b + 2*x. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -382346.\nAnswer: 2\/191173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18528918 or 18528926?\nAnswer: 18528926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 430 - 430. Let n(a) be the second derivative of 1\/20*a**5 + 0*a**3 + k*a**4 - a + 3\/2*a**2 + 0. Differentiate n(s) with respect to s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**2)**(-1\/27))**24)**33 assuming a is positive.\nAnswer: a**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/952 and 29\/24?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2879, -2883, -2887?\n\"Answer: -4*g - 2875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 860215887 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: Round 26832.33 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -3*a - 5*l, 0 = -4*a - 5*l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 3. Let q be -2 + 4 - (-1 + 1). Let u = q - f. Solve 4 + u = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77745834 divided by 38872917.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 4*j**2 + 6*j + 2. Let x(o) = 3*o**2 + 4 + 1 - 3 + 4*o**2 - 4*o**2 + 5*o. What is -5*a(z) + 6*x(z)?\nAnswer: 5*z**3 - 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10134 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -19772701.7 to the nearest 10000.\nAnswer: -19770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 48*x + 27. Let t(q) = 2705*q - 2712*q - 3 - 1. Let l be 3\/(-9) - (-20)\/6. Suppose 0 = -r - j + 7, 0*r - 4*j = -l*r. Calculate r*f(s) + 27*t(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-1 + 0 + 52). Let g(d) = -9*d + 290. Let l be g(19). Let h = s + l. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -520.765358 to the nearest integer.\nAnswer: -521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*i**3 - 31*i**3 + 17*i**3 - 2*i - 4 to the form b + y*i + o*i**3 + f*i**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 + 2 = 0. Let z be 44\/11 + 4\/s. Suppose 4*u = z*t + 38, 5*u - 35 = 4*t + 11. Solve 0 = 4*i - 6*i + u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -458867, -917739, -1376611, -1835483, -2294355?\nAnswer: -2753227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 11:21 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 104 = 16*l. What is the remainder when 16 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -3\/8 (c) 2\/9 (d) 200.87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22791*k - 22792*k + 13 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*j + 4*z - 8, -3*j + 18 = -2*z. Suppose 2*p + p = -2*q - 5, -j*q = -3*p - 35. Let i = 7 - q. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1643 - -1643. What is the closest to -0.1 in 2, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -86\/3. Suppose 5*g = g - 280. Let b be 6\/15 + 18\/g. What is the smallest value in b, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(5*k**5 - 5*k**5 - k**5 + (-2*k**4 + 0*k**4 + 3*k**4)*(2*k - 2*k - 5*k)).\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -32*q - 20. Let n(i) = -11*i - 7. Let u(b) = b**3 - 38*b**2 - 42*b + 134. Let s be u(39). Determine s*n(a) - 6*p(a).\nAnswer: 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -3) + -2 - (-41 + 37)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*f*f\/f**(3\/5))**3 assuming f is positive.\nAnswer: f**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 159105 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001119295 to six decimal places.\nAnswer: 0.001119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1684.4233 - 1684. Let o = z + 0.0777. Round o to 2 decimal places.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66 times -14?\nAnswer: -9.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 5 + 16 + -3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-28) + (-14)\/196*6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 8. Let f be z(-8). Let k = -6 + f. Let p(g) = 2*g**2 - 3*g - 1. Is p(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-320)\/150 - (-8)\/60. Let m be d\/12 - (-124)\/24. Solve -3*p - 2 = -5, m*i = 2*p + 23 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 14) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-15)\/j)\/(j**(-2\/41)*j*j)*(j**(-29))**(-38))**(-1\/43) assuming j is positive.\nAnswer: j**(-44446\/1763)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8883859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 - 9*i - 2. Let h be p(-7). Let g be 2*(-4)\/12*-6. Suppose -g*q = -0*q + m - 330, -3*q + 4*m = -h. What are the prime factors of q?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*u - 1, 132*o - 136*o + 9 = u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.223 - -0.223. Let u(s) = 6*s**2 + s - 5. Let y be u(-5). Let b be (-21)\/y*(2 + 0). What is the smallest value in -0.5, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-2 + 1 + -1). Let g = 20 + -12. Suppose -5*z + z = -g. Solve -t*b + 3*b + 6 = -o, -2*o = -z*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19120 + 19120 - 529*r)*((-r**2 + 3*r**2 - 3*r**2)*(-3 + 3 - 2*r) + 0*r**2 + 0*r**2 + r**3) as x + w*r**3 + k*r**4 + p*r + c*r**2 and give k.\nAnswer: -1587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgvqgvlgvvculvl. What is prob of picking 1 q and 1 c?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**3\/2 - p. Let s(o) be the first derivative of o**2\/2 + 3. Give f(s(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9797630299351 and 3.8.\nAnswer: -9797630299347.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfr when three letters picked without replacement from rrppppfpppf.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -386 and 29917.\nAnswer: -11547962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**0\/f)\/f)\/f**(-5)*f**2\/(f*f**(2\/11)))**(1\/5) assuming f is positive.\nAnswer: f**(42\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/8251, -1\/2, -1\/5?\nAnswer: -2\/8251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 33. Let u(g) = -3*g**3 - 3*g**2 - 2*g + 1. Let b be u(-2). Let v(j) = -j + 11. Let o(c) = b*v(c) + 6*l(c). Give o(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 30 = -9. Let p(u) = -2*u**3 - 5*u**2 - 2*u - 1. Let w be p(-3). Suppose i = 2*q + 1, -3*i + w = 4*q + 1. Solve -3*k + x = q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/16*20\/10800*90\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 145*c - 1 + 5 - 4.\nAnswer: c**2 + 145*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 340 and 425.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99948954 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*g + 71*g = -167*g - 38*g + 6250 for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/286 and -31\/52?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.825 - 0.0801?\nAnswer: -3.9051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6*(-2)\/24)\/((-2)\/46812). Let m = 19358 + b. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 10*m + 4*m**2 + 29*m**3 + 7 + m - 7*m**3. Suppose 82 = -84*o - 86. Let f(w) = -7*w**3 - w**2 + 2*w - 2. Calculate o*p(r) - 7*f(r).\nAnswer: 5*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 1\/2*z**2 + 0*z**4 + 0*z**3 + 4 + 3\/5*z**5 + 0*z. What is the second derivative of x(p) wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((1 - 1) + 4 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -190221.\nAnswer: -190221.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 11037*d**3 - d**2\/2 - 2*d - 60. Let q be a(-3). What is q rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in -1, -458, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 z, and 1 a when four letters picked without replacement from azmamazzmazza?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a (base 11) in base 3?\nAnswer: -12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41571 - -35926. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 + 2*d - 6. Let n(c) = 1. Let h(w) = -2*n(w) + x(w). Does 6 divide h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110248 - -14 - -12 - 10\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 5 (c) -76 (d) 0.008 (e) -0.03989\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (40*s + 8*s**2 + 2 - 40*s)*(0*s + 0*s + 3*s**2) in the form a*s**4 + d*s**2 + z*s + v*s**3 + w and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/75 in -1\/318, -3\/7, -58, -5?\nAnswer: -1\/318","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 + 0*b**3 + 0*b**3 + (3*b - 3*b - 2*b)*(-b**3 - 2*b**3 + 39*b**3).\nAnswer: -70*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 1\/2*l**2 + l + 32 - 14\/3*l**3. Give d(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 40*y + 0*y + 175*y + 16*y.\nAnswer: 231*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4355 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-25)\/10*(-4)\/5. Suppose -4*a + 4*g = -28, 0*g + 1 = -u*a - g. Suppose a*k - 5*k + 12 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 220661727?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 456687, 456686, 456685, 456684, 456683?\nAnswer: 456682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 10. Let y be g(-5). Suppose -y*o = -2*o - 12. Let m(s) = 3*s - 2. What is the lowest common multiple of m(6) and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13149 is divided by 419.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248509, 994769, 2238779, 3980539?\nAnswer: 6220049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2000, -8085, -18380, -33017, -52128, -75845, -104300, -137625?\nAnswer: -175952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 318 + -222. Let h = -106 + q. Let l = -9.9999919 - h. What is l rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 11 + 11. Suppose -3*v + 26 = 3*y - 2*y, y - 5 = 0. Let z = d - v. What is the greatest common factor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -197, 32, 405, 916, 1559, 2328, 3217?\n\"Answer: -s**3 + 78*s**2 + 2*s - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a hour?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 g when three letters picked without replacement from {h: 4, g: 2, e: 6, n: 2, l: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(2 - 1338\/(-8))*-2?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51377 greater than or equal to -51639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-4)\/(12\/15). Suppose 4*i = l*o + 203, -4*o - 151 = i - 4*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*n + 6*n = 24*n - 450 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 25112 times 1\nAnswer: 25112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**5\/10 + 5*n**4\/12 - n**3\/2 - 3*n**2\/2 + 9*n. Let g(c) = -5*c**3 - 14*c**2 + 8*c + 9. What is -8*b(f) - 3*g(f)?\nAnswer: -f**3 + 2*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 135842984179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16513300 is divided by 67.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 19*x**3\/3 + 8*x**2 - 20*x. Differentiate f(t) wrt t.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2617.003 + -2617. Sort y, 2\/49, 0.1 in ascending order.\nAnswer: y, 2\/49, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 24, 65, 124?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 679*i - 1130. Is l(39) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/8 - 17*i**3\/4 - 125*i**2\/8 - 19*i - 15\/2.\nAnswer: -(i + 1)**2*(i + 2)*(i + 30)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3343 - 3207. Calculate the greatest common divisor of j and 1666.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15493 greater than -15288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/10 of a hour?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3592.219 grams?\nAnswer: 3.592219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m. Let s(l) = 20*l - 20. Let o(r) = r + 4. Let k(w) = -5*o(w) - s(w). Calculate k(t(b)).\nAnswer: -150*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1104 = -337*d - 31*d. What is the lowest common multiple of ((-55)\/(-15))\/((-1)\/(-33)) and d?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 - 36*n + 136. Let x = -388 + 413. What is the tens digit of a(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/21 - (-17)\/33.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 680 - 2077\/3. Let w(y) be the second derivative of -y**4\/12 - 5*y**3\/2 - 10*y**2 + 2*y + 32. Find the common denominator of b and w(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o - 2 - o**2 - o - o**2 + (0 + 0 + 3*o)*(4*o + 3*o - 6*o).\nAnswer: o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 22*t - 10. Let b(a) be the first derivative of 4 + 3*a - 7\/2*a**2. Suppose 3*n + 27 = -21. Determine n*b(o) - 5*p(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2 (c) 0.67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1003)\/(-3) - 20*3\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 1394*a**2 - 119385*a + 2640600.\nAnswer: -(a - 1304)*(a - 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -268 - -318. Suppose -2*d = -3*c + 251, 4*d - 29 = -c + x. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ddsdsdddddsdddssds?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00077188735 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-6))\/(3\/(-6)). Suppose d + 48 = h*d. Calculate the lowest common multiple of 4 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.55 in 1\/4, 0, 2\/31, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/176)\/(3\/(-12)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) 24 (c) -1\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r - 61*r + 746 = 301. Suppose -1 = -2*g + 7. Calculate the remainder when 5\/4*(8 - g) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 9:22 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from bpgid?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10832, 20829, 30828, 40829?\n\"Answer: j**2 + 9994*j + 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -13. Suppose j*c = -15, -3*i + 3*c + 27 = -i. Suppose -i = -2*u + 1. Solve u*o + m = 8, o - 3 = 4*m + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 727 (b) 1132 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x*x**(4\/5))*x*(x**(-3\/10)\/x)\/x*x**(-12\/7)\/x**5 assuming x is positive.\nAnswer: x**(-687\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1377\/4? (a) -0.4 (b) -4 (c) -5 (d) 12 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*i - 599*i = -227*i - 120*i + 4134 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-8*x + 7 - 7 + (-3 + 2 + 2)*(2*x + 0*x - x) + 2*x - 1 + 1 - 1671*x - 9*x - 269*x - 445*x - 1104*x).\nAnswer: -3503*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37974 - 37962.1. Which is the second smallest value? (a) 2 (b) p (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4560 = -4*q + 2860. Sort 5, q, 3 in decreasing order.\nAnswer: 5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2058*z**3 + 4*z - 3*z - z.\nAnswer: 2058*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 195 = -26*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -85 (b) -1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 68. Suppose 0 = p*d - 3*d - 11046. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*o - 49, -10 = -0*t + 2*t. Suppose 3*k + 4*w = 5*k + o, 4*w = -2*k + 10. Let n be 6697 - k - 24\/(-6). Round n to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + 4*(sqrt(112) + -3) + 2*(sqrt(112) - (sqrt(112) + 2)) + sqrt(112) + (sqrt(112)*-2 - sqrt(112)) + -5))**2.\nAnswer: -400*sqrt(7) + 1073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3744881.\nAnswer: 7, 19, 37, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 37, -1, 0 in decreasing order.\nAnswer: 37, 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1512881 - -5251.\nAnswer: -1507630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 24 = 6*f. What is the highest common factor of f and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**5*v*v**(-1))**(-44))**(1\/20) assuming v is positive.\nAnswer: v**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**2 + 5820*k - 1200192 = 0.\nAnswer: -2128, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186*-3176.\nAnswer: -590736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**4 + 116676*k**3 - 1061001180*k**2 + 2205761459436*k + 7367608996623504 = 0?\nAnswer: -1692, 10287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*g**3*y**3 - g**3*y - 54*y**3 wrt g.\nAnswer: -39*g**2*y**3 - 3*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/12)\/((-1)\/(-12)). What is the common denominator of -43\/26 and (-66)\/i*(-14)\/(-18)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, g: 1, c: 1, s: 2}. What is prob of sequence gjjj?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 - (-65)\/25. Suppose 0 = -2*q + 3*c + 15, q - 27 = -4*q - u*c. Suppose 3*h = -0*h + q. Let x(z) = 2*z**3 - z**2 - z. Give x(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from tlshj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7409340 = -101*t - 2617294. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15\/4 (b) 3 (c) -0.3 (d) -2 (e) -0.371\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3359*s + 454 - 291 + 79 + 897 - 3360*s - 1666*s**4 wrt s.\nAnswer: -19992*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16391*x = 13095*x - 280160 for x.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.184, 0.5, -3?\nAnswer: -0.184","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 213*d - 217*d + 12 = 0, 8 = 4*d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 60 (b) 0 (c) -686\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24368041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -222?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 - 46*z**2\/3 + 390*z - 1014.\nAnswer: -2*(z - 13)*(z - 3)*(z + 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -27, -168, -3.\nAnswer: -168, -27, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -14*q + 39. Suppose q*y - 5*y + 14 = 0. Solve -4*r + 33 = 5*w, -5*w = -r - 6*w + y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.33 + -0.13. Which is the smallest value? (a) -1 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -4. Let s be 1\/(d\/((-5)\/(-1))). Suppose 3*k - 1 = 2*k - s*w, 2*w = -2. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -7*o + 12. Suppose 4*w = -o*w + 270. What is the greatest common divisor of 765 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(-2*r**4 + 0*r**4 + 0*r**4) + 17*r**4 - 12*r**4 + 66*r**4 + (-2 - r + 2)*(2*r**3 - r**3 + r**3) - r + r - r**4 + 3*r**4 - 4*r**4 + 2*r**4.\nAnswer: 65*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 8:39 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4)*(10*c - 11*c - 4 - 2)*(-3*c - c**2 + 3*c).\nAnswer: -2*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(-60)\/(-225)*-20\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a + 6 + 2 - 4. Let f be j(-5). Suppose c - 4*w = -0*w - 8, 0 = 5*c - 4*w + f. What is the nearest to 1 in -1\/3, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - r - 8 = -0*r, 0 = 3*r - 12. Find the first derivative of 24*v**2 + 6 - 6 + x wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11441 - 2?\nAnswer: -11443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - f**2 - 3*f**2)*(4*f + 2*f - 4*f + 4*f - f - f + (2 - 2 + 2*f)*(-4 + 0 + 5) - 6*f + 3*f + f)*(21 + 2 + 45).\nAnswer: -816*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1272914 by 2.\nAnswer: 636457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*j = 11305, 5*t + j - 5*j = -18833. Let g be t\/(-315) - (16\/7 + -2). Let v = -449\/39 + g. What is the closest to 3 in v, -0.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**2. Let u = 14 - 9. Let d(y) = -u*y - 2*y + 0*y + 0*y. Give s(d(p)).\nAnswer: -196*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*q + 31 = q, -4*q = 2*g + 10. Suppose 0 = m - 3, 4*s - 8*s + m - 311 = 0. Let x = s + 74. Sort -2, g, x in decreasing order.\nAnswer: g, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1, 1\/6, 3\/4, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/15)\/((1012\/(-69))\/(-22))*-15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(68) - sqrt(68)*-1) + sqrt(68))*-3 - sqrt(68)) + 5*-2*sqrt(68))\/((3*sqrt(5184))\/sqrt(9)).\nAnswer: -5*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 3*z**5\/10 - z**4\/6 + z**3\/3 - z**2\/2 + 4*z. Let l be n(1). Suppose 166 = c + 5*j - 2*j, -l*c - 5*j = -800. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3957659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/20 - 0 - (-180)\/16. Solve 24*r + v + 85 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1224.2 or 0.3?\nAnswer: -1224.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -6.55. Let r = 0.05 - i. Let g = -17\/2 + 8. Which is the smallest value? (a) g (b) 0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20579329 or -20579348?\nAnswer: -20579329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 16*w**2 - 18*w + 19. Let q be g(17). Let u = 17\/12 + -7\/4. Which is the second smallest value? (a) -5 (b) u (c) -3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 152617 + -65930455\/432. Find the common denominator of q and 2\/6 + 319\/60.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-91)\/(-28) - 1\/(1\/3). Which is the third smallest value? (a) -0.1 (b) 9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224406 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 833272 a multiple of 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u + 1. Suppose -m = -0*m + 4*l - 19, 2*l = 0. Suppose m + 8 = 2*a - 5*y, 3*a = 3*y + 27. Let k(x) = -x. Determine a*k(p) + h(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 9*w**2 - 6*w + 3. Let q be i(8). Suppose -11 = 5*v + q. Does 10 divide v\/27 + (-184)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.27*-0.016.\nAnswer: -0.00432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 2009 - 2009.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.070208 to two decimal places.\nAnswer: -45.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 246\/(-8)*(6 + (-34)\/6) and 1\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14 + 2144\/736 + 2\/23. Let g(k) = 136*k. Let z = -2 - -3. Let j be g(z). What is the greatest common factor of f and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(95)\/sqrt(5) - sqrt(19))*-4)**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 58*b**2 - 115*b - 37. Is a(42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 314 + -44244?\nAnswer: -43430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2227495*j*l**3 - 3*j*l - 11728135*l**3 wrt j.\nAnswer: -2227495*l**3 - 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -88) + -18 + (-111 - -124) + (1 - 7).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 g, and 1 h when three letters picked without replacement from {b: 2, h: 5, d: 5, o: 1, g: 2, c: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6377 and -0.086.\nAnswer: 0.0548422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 2110022102?\nAnswer: 2110022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 + 7)\/((-2)\/(-2)). Let d be g - 4\/6*30. Let v = d - -18. Sort 2, -2, v in descending order.\nAnswer: 2, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*t**3 + 18*t**3 - 31*t - 34*t - 11*t**3 wrt t?\nAnswer: 204*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4581?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91610956*x**4 - 382*x**2 + 115190?\nAnswer: 2198662944*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + sqrt(19) - sqrt(19)) + 2 - (-4 + sqrt(76) + 3).\nAnswer: -2*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 23 = -13. Let v = -5.13 - -0.13. Let y = v + 10. What is the closest to 0.1 in d, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 9)\/(-3) + -24. Let g = d - -22. Let s be (16\/4*(-18)\/(-12))\/3. Solve -s*p + g = -5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -25*o**3 - 16*o**2 - 18*o + 6. Is 31 a factor of i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391782\/3 greater than 797262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 221022121?\nAnswer: 221022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2276 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2547828 by 186.\nAnswer: -13698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from sjpjgsgssjsjgskspksz?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*n = -0*q - 487, -4*n - 2467 = -5*q. Suppose -11*o + q = -8*o. List the prime factors of o.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148 - -144. Let z(f) = -219*f - 108. Let r be z(h). Solve -512*y**4 - 81\/8 + r*y**3 - 432*y**2 + 108*y = 0.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 15 = -3*a, -g - 2*g + 4*a = 9. Let l = g - -7. Suppose -15 = l*d - 5*d. Solve 2*v - 10 = -k, -v + 0 = 3*k - d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(3)*1*4*5.\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 86 (c) 0 (d) 142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -9. Let w(a) be the third derivative of 1\/24*a**4 - 1\/3*a**3 - 8*a**2 + 0 + 0*a. Calculate w(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -3 - (7 + -7)\/20. Let c = -12 + 12. Solve h - m + c = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + (-6 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 3*p + 8. Let r be i(5). Let t be (-3 + (-3)\/3)\/(1\/r). Solve -l - l - 2*f = 0, 5*l - 3*f = t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17a38c3 (base 13) to base 6.\nAnswer: -433242432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 - 172*r**2 - 149*r - 2184. Determine j(-85).\nAnswer: -3969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3383778*x**3 - 3939395*x wrt x.\nAnswer: -20302668*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7328 = -122*z - 3489 + 8117. What is the greatest common factor of z and 162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*y - 73*y + 414 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -102\/295 or -1?\nAnswer: -102\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -121101000 (base 3) in base 2?\nAnswer: -10111010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) 2 (b) 1\/3 (c) -1 (d) -1002 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -16\/7277, -1, 3\/5, 2 in descending order.\nAnswer: 2, 3\/5, -16\/7277, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5160.517ug to grams.\nAnswer: 0.005160517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, m: 7}. Give prob of picking 3 o.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*a - 0*a. Suppose -6*b = -2*b + 24. Let i = b + a. Solve 14 = -i*s - 2*s + 5*g, s = -5*g + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**4\/4 - 2*p**3 - p**2\/2 - 1. Let z be b(-6). Find the third derivative of k**5 - k**2 + 3*k**6 - k**5 - 4*k**z wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfbwyqm. What is prob of picking 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 451707917 to the power of 1\/2, to the nearest integer?\nAnswer: 21253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s + 3. Let l be 18*20\/8*(-4)\/15. Let r = -75 + 107. Let q be 1\/(-3) + r\/l. Determine d(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 220 + -146. Let l(c) = -9*c - 17. Let z be l(-8). Let v = q - z. Calculate the lowest common multiple of v and 3.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 357*y**2 - 342*y - 1. What is j(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 5, w: 4, d: 7, s: 2, b: 1}. Give prob of picking 2 d and 1 w.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, g: 12, j: 1, y: 2, k: 1}. What is prob of picking 1 k, 1 y, and 1 j?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -145 * 0.02.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*u - 1157 = 0, 5*u + 3003 = -4*r + 7666. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 132*o**2 + 372*o + 2450. Give a(129).\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 418\/76*1\/11*32.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3564 + -1890. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65003274 bigger than -65003258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125725 - -2136299\/17. Let g = 8383\/102 + x. Calculate the common denominator of 10\/(-4)*(-17)\/8 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-16)\/(-2)) + (-273)\/(-52). Let m(x) = -x**2 - 11*x + 7. Let h be m(-8). Suppose -416 + h = -f*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-105)*5)\/((-1)\/(-7)). Suppose -g - 734 = -4*d, -g - 181 = -d - a*g. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*u - 261 = 1360 + 620 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**5\/20 + 5*l**4\/6 - l**3\/6 - 9*l**2\/2 - 111*l. What is m(10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -67. Suppose 3*q - g = -q. Suppose 0 = -2*p - 2*l + 46, p - 2*p + 26 = -2*l. Calculate the least common multiple of q and p.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 - m. Suppose -3*u - 1 = 2. Let c be y(u). Suppose 4*o - 5 = 2*j - 3, -j - c*o = -4. Which is smaller: j or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y**2 - 1134*y + 127. What is the remainder when 623 is divided by t(103)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5020000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -db99 (base 15) in base 7?\nAnswer: -252360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -854, -3435, -7748, -13793, -21570, -31079?\n\"Answer: -866*v**2 + 17*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 109111 + a0?\nAnswer: 109201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 38*v + 22. What are the prime factors of q(29)?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2335*f**2 + 4438825*f - 19010.\nAnswer: 5*(f + 1901)*(467*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -118*(-3)\/14 - 8\/28. Suppose -5*z = -d, 5*n - z + 113 = -57. Are n and -34 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1344)*5 - (-6*(2*sqrt(1344) + sqrt(1344)) + sqrt(1344)))\/((sqrt(108) - 6*sqrt(108)*2) + (sqrt(108) - sqrt(108)*1*2)).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 k, and 1 z when four letters picked without replacement from {e: 1, m: 3, d: 1, z: 2, o: 3, k: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64549191*g**2 - 104288796*g?\nAnswer: -129098382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -417, -1669, -3753, -6669, -10417?\n\"Answer: -416*s**2 - 4*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2335005 divided by -40965\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 11 - 8 + 1)*((-2*m**2 + m**2 - 2*m**2)*(-3 - 2 + 4) + 1 - 1 + m**2)*(-5*m + 0*m + 6*m) to n*m**3 + z*m + o*m**2 + i + w*m**4 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -11. Let o = 1294.5 + -1294. What is the closest to i in -2, o, -1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggmpmgpmpp. Give prob of sequence mmg.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.7 - -3.7. Sort s, -2, 0, 4 in descending order.\nAnswer: 4, 0, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -22 + (-1845)\/(-117).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, 2\/33, -5?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231426, 231464, 231500, 231534, 231566?\nAnswer: 231596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25099.\nAnswer: 19, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-15))\/(6\/20). Let d(j) = -5*j + 4. Let t be d(-5). Find the third derivative of t*x**4 + 3*x**2 - 29*x**g - x**5 - 2*x**5 wrt x.\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7246 is divided by 903?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 189900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*d + 486 - 1877, -7039 = -5*v + 4*d. Which is bigger: 1402 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2947118.4 milliseconds?\nAnswer: 49.11864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 + -6 + 0 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 563504079603*r**2 - 2600394*r + 3 = 0.\nAnswer: 1\/433399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -433, -2268, -6243, -13108, -23613?\n\"Answer: -125*f**3 - 320*f**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 18 = -3*k, 3*k = -i + 4*k - 2. Suppose 0 = 2*h + 5*r + 5, 3 = -h + 9*r - 11*r. What is the third biggest value in -2, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 451 and 15539.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 371. Let o(n) = -2*n - 14. Let q be o(9). Let g = -32 - q. Is p(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 945\/504*14\/35*-44?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.79 + -1.99. Let f be (-3 + 55\/18)*2. Which is the second biggest value? (a) s (b) f (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19) + 1 - (3 + sqrt(304) - sqrt(19)))**2*-3.\nAnswer: -69 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16394 (base 10) to base 8\nAnswer: 40012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3477 + -3472. Let y be ((-426)\/(-10))\/((-4)\/15). Let u = 159 + y. Which is the third biggest value? (a) u (b) -5 (c) 1\/5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(2*(-2)\/(-2)). Let z(b) = -b**2 - 11*b + 14. Let s be z(-12). Suppose s*x - 5*h - 7 = 0, 2*h = -2 - 0. Sort o, -1, x in decreasing order.\nAnswer: x, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1125389.\nAnswer: 19, 61, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 10*m - 10. Let j be g(8). Let t(x) be the third derivative of x**6\/120 - x**5\/10 + 5*x**4\/24 - 6*x**2. Is 10 a factor of t(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**3 - 2*d**2 + 9*d - 42. What is the hundreds digit of z(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 64, 88, 126, 184?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 3*y - 4 - 3*y**2 - y. Let r(g) = -g**3 + 9*g**2 + g. Let c be r(9). Let i(v) = 2*v + 6*v + 9 + 4*v**2 + v. Determine c*z(x) + 4*i(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 14)*-1 + -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 898472 to the power of 1\/2, to the nearest integer?\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 354317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (267\/(-9))\/(58\/(-30) - -2). What is the hundreds digit of (20\/12)\/(5\/6) - m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -2304 by 104845.\nAnswer: -2304\/104845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -190 - -164. Let l = v + 51. Let k = -72 + 122. Calculate the greatest common divisor of l and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139589909 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 5*l - 20 = -j, l - 7 = -2*j + 2*l. Let x(t) = 7*t**2 + 4*t - 2. Let w be x(1). Suppose -13*i + w*i = -12. Sort 4, -4, i, j in ascending order.\nAnswer: -4, i, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 76490*u + 994373. Calculate i(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30353933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78909660 by -830628.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 - 26*l**2 - 38*l - 160. What is the smallest common multiple of u(-12) and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3868374778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 29 - (-30 - -32). Suppose 19*m = g*m - 640800. Round m to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - t = 60. Let d be (t\/(-18))\/(4\/(-3)). Factor 0*h - h**2 + d*h**3 + 0.\nAnswer: h**2*(h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, m: 1, g: 2}. Give prob of sequence lml.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8941 is divided by 4178.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 - 4*y + 4. Let z = -18 - -18. Let j = z + 3. Let h(x) = x**2 + 4*x - 3. Let o(b) = j*v(b) + 4*h(b). Let o(k) = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11\/2, -0.02, 2 in increasing order.\nAnswer: -11\/2, -2, -0.02, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let f = 1 + 5. Calculate the least common multiple of f and a(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234424669 to the power of 1\/2, to the nearest integer?\nAnswer: 15311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1212 and 7856790.\nAnswer: 15713580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(255)\/sqrt(5))\/sqrt(2352).\nAnswer: 3*sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10 = -2*x, 0 = -2*d + 5*x - 22 - 3. Let v be (90\/5 - d)*3\/(-2). Let b = v - -77. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -247 in 7\/8, -36, -1, 4\/5, -2\/5?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -19. What is the highest common factor of y and 1102?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -753.3 - -389. Let q = 347 + s. Let m = q - -0.8. What is m rounded to zero dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -664568745*d*k**2 + 46*d*k + 27424*d + 2*k**2 - 7*k + 1 wrt k?\nAnswer: -1329137490*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 36 and -641?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*f + 280 = 0, 60 = 2*d - d - 4*f. Suppose -d = l - 2*l. Calculate the highest common divisor of l and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x + 38. Give v(0).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 + 244. What is the greatest common factor of b and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 1707?\nAnswer: -1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2601\/39770?\nAnswer: -2601\/39770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/27000 and 101\/2750.\nAnswer: 297000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 20. Let v = -11.9 - d. Let p = v - -4.9. What is the smallest value in -0.1, 5, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -2\/3, -4\/3, 0.4, -2, -0.189?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 71*b + 213 - 70 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6191352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/925240 and -31\/1040895?\nAnswer: 8327160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9600 and 6356352.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + m - 9 = 0, u - 5*m = -3*u + 54. Let v be 2\/8 - (-99)\/(-12). Let a = v + 18. Calculate the least common multiple of a and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000763667822 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12458*g**5 - 6*g**4 + 341592*g wrt g.\nAnswer: -249160*g**3 - 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 667*h**2 - 302*h**2 - 277*h**2.\nAnswer: 88*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43780665, -87561334, -131342003?\n\"Answer: -43780669*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/75)\/((-27)\/(-42)*91\/(-780))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 365609374 a multiple of 1091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 9:09 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*z**5 + 65338*z**3 - z**2 - 135167.\nAnswer: -180*z**2 + 392028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8364 and 4674.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/3, 2, 3, -0.054.\nAnswer: -0.054, 1\/3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 12*f + 0*f)*(22*f - 3*f + 22*f).\nAnswer: 410*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 12*i - 77. Let u be j(-4). Solve 3*h - 2*d - 6 = d, 4 = -u*h + d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -18 + -118 + 109 - 57.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 102*l + 929. Let b be a(-9). Solve 2*s - b*x = -12*x - 11, 3*s - 5*x - 3 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q + 22. Let m be j(5). Suppose 30 - m = 14*b. Suppose 4*p - 25 + 9 = 0. Solve -p*s + b*s = 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75.6089 + 6654.3521. Let u = -6733 + d. Let g = u + 0.039. Sort g, -4, 3, 4\/5.\nAnswer: -4, g, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1750)\/231)\/(-125))\/(1\/121)\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + (-133)\/27 - (-5952)\/1296)*(-180)\/(-182)?\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 + 151. Solve -z*q = -31*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84615 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, -50, -2, 1, 4 in descending order.\nAnswer: 4, 1, -2, -4, -10, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1371*k - 1315*k + 9*k + 620*k.\nAnswer: -2057*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Let p be (-2)\/(1 - 3) - w. Calculate the least common multiple of 6 - (0\/1 - p) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 13*k + 15. Let y be d(13). Suppose -2*f + 45 = -15. Calculate the greatest common factor of y and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.3593 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -6*q + 16*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-66))\/(((-446)\/(-4683))\/(3\/(-21)))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 5. Let c(p) = -6*p + 14. Let h(a) = 6*a - 2. Let t be h(-2). Let i(o) = o**3 - 25*o**2 - 3*o + 80. Let r be i(25). What is r*c(g) + t*y(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -178 + 88 + 90 - 10*b**2 - 2*b to the form x*b**2 + f*b + s and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*9\/18?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.6? (a) 5\/4 (b) -34 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + 17 + -37 + -13 + 4 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3861505693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 336642943\/1436 + -234431. Find the common denominator of m and -15\/4.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 24 = 2*c. Let w = -6 + c. Let y = -925\/77 - -140\/11. Sort w, y, 0.4.\nAnswer: w, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135418 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72 - 5?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 383539 and 972295.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 = 0, -15*o + 14*o + 4*d = -9. Solve -11*p - y = -10*p, -2*p - o*y = 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 4:22 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -32, -3\/2, 1\/4 in ascending order.\nAnswer: -43, -32, -3\/2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, y: 1, w: 1, j: 2, b: 2, o: 5}. Give prob of sequence yoo.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3156*v - 3164*v + 6323*v - 10 + 3*v**2. Let i = 0 - 6. Does 19 divide h(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9818 - -7821. Is -1998 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159080839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -123?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131260739.\nAnswer: 191, 229, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/30 and (-1 + (-159)\/45)\/((-54)\/15).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.02, -136, 3, -2 in descending order.\nAnswer: 3, 0.02, -2, -5, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1633 divided by 1\nAnswer: -1633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 74045241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9615 + 29502. Suppose 0 = 8*v - t - 17257. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*2*sqrt(432) + -5)**2 + 0.\nAnswer: 864*sqrt(3) + 6993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-176)\/(-2376) + 22503\/(-5265).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1996022\/(-8))\/(5\/10*51\/(-102)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 947*r**2. Let z(n) = n + 3. Calculate q(z(m)).\nAnswer: 947*m**2 + 5682*m + 8523","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**(-7)))\/i)\/i*i**(-10))\/(((i**0*i)\/i*i)\/i)**(-7\/2) assuming i is positive.\nAnswer: i**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 - 81. Let a(m) = 5*m. Let v(q) = 9*q. What is c*a(z) - 4*v(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/1226848 and -101\/8.\nAnswer: 1226848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -85a88 - 5?\nAnswer: -85a8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8118 - -15542. List the prime factors of a.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 9. Let y be f(-7). What is the third derivative of q**2 - y*q**4 - q**2 + 6*q**2 - 4*q**2 wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 + 1011101010?\nAnswer: 1011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/12)\/((-36)\/(-936)). Solve -f*b + 5*c = -14*b + 31, 43 = -2*b + 5*c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -7)\/((-3)\/14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*m - 4750 = -w, 14*w + 3*m - 101 = 39*w - 24*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g + a - 33, 3*g + 3*a = 57. Let h(q) = -10*q + 40*q - 15*q - g*q. Let t(n) = -n**2. What is t(h(y))?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 133.32?\nAnswer: -134.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -641 + 645. What is the second biggest value in u, 0.003, -3, -1, 0?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -399084\/13 (c) 203\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/9)\/j)\/j)**(11\/3)*j**(2\/31)*j*j*(j**(-7)\/j)\/j assuming j is positive.\nAnswer: j**(-12625\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 4:59 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343599?\nAnswer: 3, 53, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**4\/9 - 836*c**3\/3 + 262086*c**2 - 299*c + 2. Let d(u) = 0. Calculate u.\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 93 (c) -5 (d) 0.5 (e) -2\/11 (f) 4 (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0349*-0.3.\nAnswer: -0.01047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49767, -99530, -149293?\n\"Answer: -49763*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 893953 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 3*v - 3*v)*(2*v**2 - 4*v**2 - v**2) - 6*v**4 + 5*v**4 - 4*v**4 + 6*v.\nAnswer: v**4 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyyoiioyyiv. Give prob of picking 1 i and 1 v.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 1 + 3. Let c = 3 + v. Solve 0 = -c*w - 0*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 2*r**2 + r - 6. Let i be n(-3). Suppose i*s + 3150 = 5*s. Round s to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 + -61. Let w = 19 + a. Let i(k) = k**3 - 11*k**2 + 19*k - 7. What are the prime factors of i(w)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8750077 millennia?\nAnswer: 875.0077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 534451028 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from uuyyyy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 5:49 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 257828015 divided by -136057\nAnswer: -1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -9. Suppose a = 4*j - 6. Solve -3*p = 3, -5*p = j*r - 4*p + 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n + 68. Suppose 83 + n = 4*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*d - 12. Let s be 104\/18 - d\/(-18). Solve s - 1 = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 1. Let w = 26.2 + -196.2. Let a = w + 174. What is the third smallest value in 5, t, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zks when three letters picked without replacement from {k: 3, z: 2, j: 3, s: 5}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + (68 - 75).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*s + 2. Calculate the remainder when -4*(-2 - s\/(-8)) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*d + 92*d - 24096 = -1016*d + 5334 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 648273032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - (sqrt(1216) + 0)) + sqrt(19) + sqrt(171)*3.\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0708 - 659.9292. Let c = -656 - x. Let d = -3 + 3.1. Sort c, d, 0.\nAnswer: 0, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s - 21*s - 30 = 0. Suppose -14 = -s*w - 0*w - 2*d, -23 = -5*w + d. Let g be 2\/6 - 8\/(-3). Solve -5*n - w*j - 12 = 0, -n + 2*j + 6 = -g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r - 120 = 0. Suppose -4*x + r = -x. Suppose -3*h + 12 = -h. Calculate the smallest common multiple of h and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -264, -539, -814, -1089, -1364?\n\"Answer: -275*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8078, 32363, 72844, 129521, 202394, 291463, 396728?\nAnswer: 518189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 - 4*b**2 - 2*b**2 - 5*b**2 - b**2 + 3*b**2 + (4*b**2 - b + b)*(0 + 3 + 0) + b**2 - 6*b**2 + 2*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146 - 138. Suppose -t*y + 2832 = -4*y. List the prime factors of y.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 = -6*i - 0*i. Let g = 72 + i. Suppose 5*y - s - 215 = -2*s, 0 = g*y - 5*s - 215. Is 43 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*n + 87, b - n = -13 + 40. Calculate the greatest common divisor of b and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 365.0000644 - 365. Round m to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5112 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212526 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -0.3. Let q = -8\/647 + 1462\/13587. Let g = -0.6 + 1. What is the second biggest value in q, g, n, 0.01?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 - 61. Which is bigger: 37\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -565, -567, -557, -529, -477?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.2165007 to 1 decimal place.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1 (c) 3\/7 (d) 0.4 (e) 128\/129\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20035, 20034, 20059, 20122, 20235, 20410?\n\"Answer: 2*k**3 + k**2 - 18*k + 20050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 1)*(-1 - 1 + 5) + 1 + 3 + 0)*(-3*k + 1 - 1 + (3*k + k - 2*k)*(1 + 0 - 2)).\nAnswer: -50*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmjj when four letters picked without replacement from {j: 14, m: 5}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 17 - 3 = -3*v, v - 4*h = 18. Let r(a) = -5. Let i(o) = o + 9. Let g(w) = v*i(w) + 5*r(w). Let f be g(8). Round f to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 327714, 327535, 327356, 327177?\n\"Answer: -179*p + 327893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvxlqlvxvvxxxxxj. What is prob of picking 1 x and 1 l?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.34734ml in litres?\nAnswer: 0.08234734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2392 + -2392. Let m = -0.4 - -0.335. Which is greater: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 10*u + 4. What is r(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + 11. Determine b(18).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1344a1 (base 12) to base 6.\nAnswer: -10455121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1689 - 888 = -13*b - 796. Let s(x) = 41*x. What is the remainder when b is divided by s(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34958, 69915, 104872, 139829?\nAnswer: 174786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**6\/12 + 4*b**5\/5 - 3*b**4\/2 - 11*b**3\/3 + 43*b**2\/4 - 9*b - 296. Factor r(u).\nAnswer: (u - 1)**3*(u + 2)*(u + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.6 - 12. Let i = -23 - -23.13. Let w = -5.13 + i. Which is the third smallest value? (a) -2 (b) y (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpltpkkt. Give prob of sequence tk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**0)\/n**(2\/9))**(-48)*(n\/(n\/n**(-1\/3)*n))**20*n**(-1\/10)*n**(6\/7) assuming n is positive.\nAnswer: n**(-4427\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -b + 341, -3*q - 2*b - 203 - 61 = 0. Let k = 85 + q. Let g be ((-30)\/(-25))\/(k - 26\/(-20)). Sort g, -1, 3 in increasing order.\nAnswer: -1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**4\/4 - k**3\/3 + k**2\/2 + 41*k. Let d be u(2). Suppose d*q - 199 = 71. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 - (-20 - -29 - 38)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**2*o**2 + 17343*f**2*o + 3*f*o**2 + 37*o**2 - 13*o + 66 wrt f?\nAnswer: -10*o**2 + 34686*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10845783 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*f. Suppose f = -2*n - 5 + 13. Suppose -n = -3*r + 2*r. Solve r*c - 8 = 3*o + o, 4*c - 3*o = 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 3670*f - 25739. Calculate h(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**4\/8 + 2*m**2. Let o(i) be the third derivative of -i**5\/30 + 4*i**2. Determine l(o(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w + 5. Let y(m) = 16*m - 28. Let k(u) = 28*t(u) + 5*y(u). Let h be k(-1). Factor 0 - 24*g**2 + h*g + 3 - 22*g - 6.\nAnswer: -3*(2*g + 1)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 394 and 1.1.\nAnswer: 433.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f. Let d(p) = -p**2 + 4*p + 11. Let y(l) = -3*l**2 + 6*l + 12. Let t(u) = -3*d(u) + 2*y(u). What is t(c(h))?\nAnswer: -27*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -116*16\/(-9744)*1\/((-4)\/(-6))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 98. Let l(w) = 184*w**2 - 94*w**2 - 88*w**2. What is u(l(j))?\nAnswer: -2*j**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*m**3*u + 2*m**2*u**2 - 9*m**2*u - 6*m*u - 2*u**2 - 30 wrt m.\nAnswer: 36*m*u + 4*u**2 - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -7*d + 20. Suppose 0 = 4*b + x - 5*x, -5*x = d*b. Suppose b = -12*y + 46 + 14. Solve 2*i + 4*a - 12 = 0, 0 = 8*a - y*a - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 9*n + 308. Suppose 37*w = 41*w - n. Solve 2*g + 3*c = w, 0*g - 5*c = -2*g - 29 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.8 - -33. Let k be (9 - 7)*(-2)\/16. What is the biggest value in 6, v, k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/2, -6, -15, -0.04, -2\/307?\nAnswer: -2\/307","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bzbzzzzzzzbzzzz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*y = -v - 63*y - 5, 5*v = 3*y + 31. Solve -2*d - 4 = 4*f, -v*f - 4*d = -7*d - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -10*h + 46. Suppose 4*s = -h*b + 77, -2*b = 5*s - 9*s - 42. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 8. Suppose 4*o = 5*f + 1648, -u*f = -5*o + 3*o + 826. Let v = o - 1067. Round v to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 525738?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*j - 381 = -483, -2*j = 4*x - 188. Solve 34 - x = 6*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -224105 (base 11) to base 5\nAnswer: -42404314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2725 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 855.278 and -2643?\nAnswer: 3498.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.749382us to days.\nAnswer: 0.000000000043395625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3301 is divided by 1547.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - u - 3*u = -140, -2*u + 3*u - 3 = 0 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*t + 189 = 0, 5*a - 6*t + 1002 - 1289 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122532110.\nAnswer: 2, 5, 12253211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 13*k - 23. Let l be f(2). Solve v - l*v = -8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64644212*d**3 + 707936*d**2 - 47 wrt d?\nAnswer: -387865272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -l + 2*l + 7*a - 3*a, 25*a - 82 = l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 10256 = 2*l, 0 = -5*l - 3 - 17. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -5. Suppose r*u + 20 = 12*u. Let n be (-31984)\/(-40) + u\/(-10). Round n to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 590*z - 5 - 1173*z + 584*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77510 and 2696?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 78?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + v = 2*v - 30, 0 = 5*u + 4*v + 27. Let f = 14 + u. Let s(k) = 3*k + 9. Does 15 divide s(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -187, -292, -407, -538?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i - 3*i)*(10*i**2 + 19*i**4 + 9*i**2 - 21*i**2).\nAnswer: -19*i**5 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.1, 1\/8 in descending order.\nAnswer: 1\/8, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 6*m + 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*q + 4. Solve 4*j + q = -5, -4*v - 4*j = 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 8:16 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10 - -10)\/10)\/(-2). Solve 2*z + 2*x + 2*x - 10 = d, 4*x - 16 = -4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b**3 + 822*b**2 - 1139*b - 324. Let o be v(163). Factor 0 - 4\/5*r**o - 16\/5*r**3 + 2\/5*r.\nAnswer: -2*r*(2*r + 1)*(4*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0, 0.293765249, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.03 (b) -4\/11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4\/p*p)\/(p\/(p*p**3)))**17 assuming p is positive.\nAnswer: p**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 433319807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*m - 5 = -3*h + 571*m, 0 = 2*h + 2*m - 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -107. Let l = m - -83.146. Round l to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 5040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y**3 + 5*y**3 - 2*y**3)*(-1 + 3 + 0)*(0*y - y + 7*y) + 6*y**4 - 3*y**2 + 3*y**2 to the form g*y**3 + j*y**2 + k + l*y**4 + u*y and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5723, 5748, 5781, 5822, 5871, 5928?\nAnswer: 5993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*z = -358, 2*q + 3*z = -0*z + 134. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 2 + -4 + 0. Which is bigger: -6 or d?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90421\/11 - 8209. Let j = 171\/9094 + -8901767\/900306. Let o = i + j. Find the common denominator of -79\/10 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 77*y - 43702. Let s(a) = 5*a. Determine s(h(r)).\nAnswer: -5*r**2 + 385*r - 218510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*a**4 + 309*a**3\/4 - 81*a**2\/2 - 309*a\/4 + 3\/2 = 0. Calculate a.\nAnswer: -2, -1, 1\/52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 16. Let r(f) = -f + 10. Let g be r(b). Suppose 5*z - g = k, 5*z + k - 22 = -2. Solve z*p = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3561, 3574, 3587, 3600, 3613, 3626?\n\"Answer: 13*n + 3548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5.3. Suppose 7 = 5*l - 21*z + 18*z, 0 = 2*l + 4*z - 34. Which is the second biggest value? (a) l (b) -2\/3 (c) g (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 8 + 3*k + 10.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -42. Suppose b = -33*a + 30*a. Sort -5, -4, a in descending order.\nAnswer: -4, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 163259843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t. Let a be o(3). Suppose -3*c + 9 = a. Which is bigger: 1\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.72 + -1.1. Let m = 0.28 + y. What is the nearest to m in 0.3, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -6, 35, 7, 3 in descending order.\nAnswer: 35, 7, 3, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12437*s = -12446*s + 36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbg when three letters picked without replacement from bggzvgbbgbvggb?\nAnswer: 25\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/13? (a) 2\/11 (b) -216 (c) 72 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/449620 and 41\/24.\nAnswer: 2697720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*b - 1588*j + 1584*j, 0 = 5*j - 20. Factor -2\/11*a**5 - 4\/11*a**4 + 0 + 4\/11*a**2 + 2\/11*a + b*a**3.\nAnswer: -2*a*(a - 1)*(a + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69411964 to the power of 1\/3, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -101983111 rounded to the nearest ten thousand?\nAnswer: -101980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 4:39 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*n - n. Let l = n + -7. What is the units digit of (-5)\/l*(-40)\/(-50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -377575958, -377575960, -377575962, -377575964, -377575966?\n\"Answer: -2*b - 377575956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Let u = 2.16 + -2.17. Put g, u, 0.5 in increasing order.\nAnswer: u, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298260 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -17985*n + 8990*n + 8990*n. Let p(r) = 3*r**2 + 32. Determine p(h(f)).\nAnswer: 75*f**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3))**(-2)\/(d\/(((d*d*d\/(d**(1\/7)*d)*d)\/d)\/d)*d**(-1\/6)) assuming d is positive.\nAnswer: d**(253\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/11526 and 23\/678.\nAnswer: 11526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824566 is divided by 8083.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 0, 16\/27, -3 in descending order.\nAnswer: 16\/27, 0, -3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 489 + 309. Let p = 724.7 - f. Round p to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14639 - -32768. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*a - 47, 3*a = -0*y + y + 12. Let g = 13 + y. Suppose -c + g*c = 12. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1554 * 2300.5.\nAnswer: 3574977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -5\/12, 2, 53, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3001324 (base 5) to base 9.\nAnswer: 71531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3 - 2*l**2 + 655*l + 7 - 666*l + 2. Let f be u(-6). Solve f*y - y = 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -3, -2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 5:55 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 - 69. Suppose 26 + t = 2*l. What is the highest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by 72.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -13. Let w = -1.6 - -1.8. What is the closest to w in -2\/23, 0.5, k?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1064 by -1.\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-8))\/((-1)\/10). Suppose 3*g = -2*v - 9, 29 = -u*v + 2*g - 3. Let t(s) = -s**3 - 7*s**2 - 6*s + 2. What is t(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155113, 155066, 155019, 154972?\nAnswer: 154925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 232544.93 - 230096. Let z = w + -2787.7. Let p = z + 337. What is p rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2. Let z(q) = -172*q + 1. What is z(u(v))?\nAnswer: 516*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 7*y**2 - y - 14. Does 16 divide z(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1697868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -202742367181?\nAnswer: 202742367180.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0215*-0.77597.\nAnswer: -0.016683355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*u = -137*u - 114*u - 702 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 47\/9 - (-36 - -40) - 1. Let m(g) be the second derivative of -r*g**3 + 2*g - 5\/18*g**4 + 0*g**2 + 0. What is a in m(a) = 0?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 - 70\/(-8). Let v be (-3)\/i + 1\/3. Suppose -x + 22 = -t, v = 3*t - t - 8. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27092 + 50562. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 12 = 0, -4*f - f + 40 = 5*d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntnmmmtfnffnmtmtnntf. Give prob of sequence fmt.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 1.543095.\nAnswer: 0.308619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60.58522781 + -60.885228. Let w = -0.03 + -0.27. Let v = b - w. Round v to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3937648791.9+-37\nAnswer: 3937648754.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 192106 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18794 - -18795. Let w = -844\/91 - -66\/7. What is the closest to 2 in w, 0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/3))**(2\/27)\/((k\/((k*(k\/((k*k\/(k**(-5)*k))\/k))\/k)\/k))\/k**6))\/((k\/(k\/(k\/k**1)))**30)**(-1\/9) assuming k is positive.\nAnswer: k**(4\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, p: 10}. What is prob of sequence ipp?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-25)*10*2*2\/2*-1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -19. Let s = 29 + -50. Let l = -26 - s. Put 3, k, l in decreasing order.\nAnswer: 3, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 9 = -0. Suppose 2*n - i + 1 = 0. Solve -k - 4 = n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**5\/10 + 11*i**4\/12 - 53*i**3\/3 + 6251*i**2\/2 + 6995*i. Differentiate j(u) with respect to u.\nAnswer: -6*u**2 + 22*u - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-66)\/(-220) - 6\/(120\/(-134)). Solve -f*s = -2*s - 15, x = -5*s + 16 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25097760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose k - p - 20 = -2, -p = -5*k + 70. What is the remainder when 81 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1970 is divided by 496?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.7 - -10317135784?\nAnswer: 10317135596.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 5 - 2*u + 0 + (-53*u - 55*u + 84*u)*(2 - 1 + 6).\nAnswer: -170*u - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 - 266 - 2*c + 494 - 1325 as q + r*c and give q.\nAnswer: -1018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.5, 3, 3\/2.\nAnswer: -0.5, -0.1, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10281548.26000044 + -10281548. Let o = 0.26 - q. Round o to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45676 divided by 2404\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 51\/85*(4 - 133\/42). What is the closest to g in -2, 0, -0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 33 = 5. Let y = 9 + r. Let g(u) = 2*u + y*u - 3*u - 3*u. Let h(k) = k. Give h(g(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = 2*m + 33. Suppose 4*v + m = 1237. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 14*g - 18. Give n(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*r + 18, -5*r + 2*f + 6 = -24. What is the smallest common multiple of r and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74*(7\/(-2) - -4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 4*r**7\/7 - 19*r**3\/3 + 10. Find the third derivative of o(s) wrt s.\nAnswer: 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Let f(k) = -z*k**3 + 4*k**2 + 3 + 3*k - 5 + 3*k**3. Let i be f(4). Calculate the greatest common divisor of 4 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 6*a**2 + 10*a - 5. Let x be c(4). Suppose 0 = -x*w + 8 - 2. Suppose -32 = -q - q. Solve 0 = 4*g + q, w*g - g - 12 = -4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668 >= 1116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2190)\/(-66) - (-4)\/(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 67 - 35) + -27.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 7 = -2. Is 6 + 74 + (d - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 0*y**2 + 4*y - 9*y + 5*y - y**2. Let b(i) = 755*i. Give b(u(f)).\nAnswer: -755*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16009, 64198, 144561, 257098, 401809, 578694?\n\"Answer: 16087*t**2 - 72*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1350 and 1050?\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfwgwwdgguwwfxw. Give prob of sequence dfxd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/(420\/(-2)))\/((-2)\/(-5)). Let c(m) be the first derivative of k*m**3 - 1\/2*m**2 + m + 5. Factor c(q).\nAnswer: (q - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54474 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4 = -2*u, -3*u = 2*s - 2*u - 1. Solve b + 12 = -s*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 - 4*r**2 - 3*r - 3. Let c = -48 + 44. Let p be k(c). Let y = 172 - p. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -37*z**2 - 31*z + 239. Calculate o(6).\nAnswer: -1279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43790?\nAnswer: 2, 5, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddhr when four letters picked without replacement from hdddrrd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 6:10 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3619*l - 475. What are the prime factors of x(-3)?\nAnswer: 2, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.489 - 3.481. Let j = 0.03 - u. Let z(b) = b**3 - 3*b**2 + 2*b + 1. Let h be z(2). Sort h, j, -1\/6.\nAnswer: -1\/6, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6362 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -316809*i*v**3 + 1645*i*v**2 + 2*i*v + v**5 - 266*v wrt v.\nAnswer: -1900854*i + 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4\/3 + 460*s**3\/3 + 956*s**2 + 1452*s.\nAnswer: -4*s*(s - 121)*(s + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9392*x**3 + 48 + 1031*x**3 - 48.\nAnswer: 10423*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-27))\/1*-2. Suppose 1 = -4*p + 21. Suppose p*s = -0*s. Sort s, j, 1\/8 in decreasing order.\nAnswer: j, 1\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 645*h**2 + 89445375 - 1\/3*h**3 - 416025*h.\nAnswer: -(h - 645)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4879 and 0.2.\nAnswer: -0.09758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s. Let h = -12 + 18. Suppose -3*b = 4*l + 11, 5*b + 3*l - h*l = 30. Suppose 0 = b*w + 3. Determine f(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 207559.5s?\nAnswer: 3459.325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 10 = -5*r, -k + 303 + 26 = 144*r + 4*k - 366 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**3 + 19*f**3 - 27*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2510444 is divided by 288?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.191 (b) 2.06 (c) -2\/283 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 5*a)*(8*a - 3*a + 13*a)*(4*a - 4*a - 2*a) to o*a**3 + s*a + b*a**2 + i and give o.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/57, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10722 is divided by 325.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -71, -3, -0.0701?\nAnswer: -0.0701","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + c + 1, -2*q + 1 - 4 = c. Sort -1, 5, q in decreasing order.\nAnswer: 5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -18*d + 116. Let k be n(13). Let i = 224 + k. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 8*v + 20. Let x be c(4). Solve -7*g + x*g - 15 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 + 6050434*k\/3 + 9151937897089\/3.\nAnswer: (k + 3025217)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 484 = -15*y + 43*y for y.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 4180 = 2*a + 7274, 0 = -4*v - a + 7650. What is the least common multiple of v and 21?\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 109716211?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*l - 546385 = -313*l. List the prime factors of l.\nAnswer: 67, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1122 >= -4487\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123059203?\nAnswer: 83, 271, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -959, -1500, -2053, -2624, -3219, -3844, -4505?\nAnswer: -5208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 262\/35 + -979\/70. What is the common denominator of 16\/855 and s?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*g + 5*c - 403, 2*g - 5*c = 227. Let m be g\/(-8)*(-3 - 5). Suppose 0*t = 3*t - m. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-78) + 7803\/(-495924)?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 9 in decreasing order.\nAnswer: 9, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*w + 16 + 152 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = m + 3*m. Let k = m - 2. Suppose 5*j = -k*h + 185, 5*h - 202 + 1 = 3*j. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = -0*y. Let i = -4042 + 4039. Let r = 8 + -12. What is the closest to y in r, -5\/3, i?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-3)*(2\/(-14) + (-156)\/84). Let y(r) be the second derivative of -25\/6*r**2 + a*r - 5\/3*r**3 - 5\/36*r**4 + 0. Determine x, given that y(x) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232515 (base 6) in base 8?\nAnswer: 47137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -103, -101, -99?\n\"Answer: 2*h - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 261800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 888 = -2236*j + 2273*j for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.658 + 2.158. What is the closest to -0.03 in y, 1\/6, -4, 1\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Which is smaller: 1\/2 or a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -23*y + 59. Let n(v) = 43*v - 115. Let k(q) = -15*m(q) - 8*n(q). Give k(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116a9a6 (base 12) to base 3\nAnswer: 20100121122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*x + 76*x = -75 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 191.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 12 = 3*a, 266*a - f + 44 = 271*a. Suppose -2*u = 0, 22*y + 3*u = 18*y - a. Suppose 3*b + 20 = 7*b. Sort b, y, 9 in increasing order.\nAnswer: y, b, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.37276 milliseconds in seconds?\nAnswer: 0.09037276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82047619 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g*g*g*g**(1\/5)))*g)\/g**(-4\/3))**(3\/50)*(g**(-6)*g*g**4\/g*g)\/(g**(1\/3))**(4\/19) assuming g is positive.\nAnswer: g**(-4832\/7125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 8796*q**2 + 2*q**3 - 3*q + 3*q + 8784*q**2.\nAnswer: 2*q**3 - 12*q**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 + 2*h**3 - 4*h**3 - 4*h**2 + 59 + h to d + c*h**3 + q*h**2 + x*h and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1591*k + 3. Let y(f) = 789*f. Give 2*n(i) + 5*y(i).\nAnswer: 763*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 11 + 2 + -14 + -18 - 67.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64764 and 17514?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4750747 - 5*z - 4750746 + 4*z. Let j(g) = -12*g + 3. Calculate -j(o) + 3*w(o).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 318, 672, 1030, 1392, 1758, 2128?\nAnswer: 2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.8107+-0.2\nAnswer: 0.6107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3041, -3038, -3035, -3032?\nAnswer: -3029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 + 2193 - 2205 - 7*c**2 + (-c + 2*c - 2*c)*(-3*c + 0*c + 2*c).\nAnswer: -3*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 505, 2144, 4919, 8830, 13877?\n\"Answer: 568*n**2 - 65*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -203 + -10322015?\nAnswer: -10322222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 24 (b) -2 (c) -2\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*a + 7*z - 4*z, 4*z - 4 = 2*a. Suppose -a*h - 50 = -7*h. Suppose h*t - 310 = -70. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*v - 1852 = -444 + 1092 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/36 + 31\/6. Suppose 3*l - s*l + 50 = 0. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129196525 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**3 - 96*g**2 - 45*g + 275. Calculate p(20).\nAnswer: 975","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 28 = 4*b, 2*q - 2*b = 5 + 5. Suppose 5*j = 20, -4*i - j + q = -18. Let v = 4 + 3. Are v and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 1.33211557091323.\nAnswer: -3.66788442908677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006745 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -694*q + 713 = -615*q - 235 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(((-180)\/(-25))\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 18558550*j. Let m(w) = 6*w**2. Give m(h(v)).\nAnswer: 2066518668615000*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-5) - (2 - 2). Suppose 3*m - 58 = -73. Put m, -29, d in decreasing order.\nAnswer: d, m, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 147 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55292 is divided by 27501.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008146992 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-3))\/(46\/69). Let q be (-1)\/9*p\/2. Which is the closest to -0.1? (a) q (b) 0.3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-2 + (-64 - -4 - 2)). What is the greatest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. Let p(a) = -6*a**2 - 2*a - 8. Let w(y) = 7*y**2 + 3*y + 9. Let j(f) = 2*f - 5. Let l be j(5). Let x(r) = l*w(r) + 6*p(r). Determine x(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3231 (base 7) in base 2?\nAnswer: 10001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.5. Let l = p - -0.34. Let d = l - -9.16. What is d rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 42*r + 82. Let v be a(14). Let f = v - -310. Solve 3*s - 15*s - 48 = f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*j - 6, -4*q + 4*j - 11 = -3. Let k = 4 + q. Let z be 4*1\/k - -13. Solve 3*f = -4*p - 12, -5*p + 0*f - z = -f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3135023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-29)\/(145\/40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178300297033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1994484 = 3*i + 7*n + 1994438, 0 = -5*i - 2*n + 38 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2655703618?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 111788578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-4) - ((-842476)\/(-8))\/(50\/(-50)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 161, -322, -817, -1330, -1867, -2434, -3037, -3682?\n\"Answer: -d**3 - 476*d + 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = -3. Let t be -1*5\/4*d. Which is the closest to -0.1? (a) t (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, y: 1, o: 2, r: 3, q: 3, i: 3}. Give prob of sequence it.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39285 = 9*m + 26631. Let l = m + 22379. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 4, -2\/9, 1\/17, 3\/8, 5, 262?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 10:03 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 12. Solve 0 = 2*c + 2*c + 2*u, -3*c - s*u = -1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -197, -242, -299, -362, -425, -482?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 5*m**2 - m + 5. Let u be l(5). Suppose g = 5*n - 4*n, 5*g + n = 0. Is g less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {n: 1, v: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4142087 to 3 decimal places.\nAnswer: 2.414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {n: 3, b: 4, l: 2, w: 1, k: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1) + 246\/(-2). Is (-15)\/(-10)*l\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 3*t**2 + 15045*t**4 + 6*t**2 - 14189*t**4 + 0*t to the form o*t + s + p*t**4 + n*t**3 + x*t**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73 + 294 + 69 + 21)*(t**5 + 4*t**4 - 4*t**4).\nAnswer: 457*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019715962 to 7 dps.\nAnswer: -0.0000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*h - 244*h = -11268. Which is bigger: h or -92?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(-126)\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*f = -25, -5*l - 3*f - 102292 = -102252 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-664)\/(-747))\/(30\/9).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4*a - 8 = 0, 5*a - a = -16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/400 and -131\/350?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yym when three letters picked without replacement from {g: 6, z: 1, m: 2, y: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -807 - -891. Calculate the remainder when 161 is divided by i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, k: 2, o: 6, p: 2}. What is prob of sequence pbkp?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 154 = 5*n. What is the greatest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1232 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697661 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.94 times 7823?\nAnswer: -242043.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54.9 + 92.8. What is r rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, a: 13, r: 1, b: 1, k: 2, e: 1}. Give prob of picking 3 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 483\nAnswer: -2\/483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -112102120 (base 3) to base 5\nAnswer: -314033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**3 - 3*n**2 - 3*n - 5. Let h(u) = 6*u**3 - 2*u**2 - 3*u - 6. Let l(r) = 4*d(r) - 6*h(r). What is the first derivative of l(w) wrt w?\nAnswer: -24*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30656991, -122627956, -275912893, -490511796, -766424659, -1103651476, -1502192241?\nAnswer: -1962046948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1639672 is divided by 464.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2898\/35)\/(0 - (-6)\/40). What is the common denominator of 6 - n\/32 - (-2)\/(-3) and 41\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 187 + -138. Suppose x - d - 4 = 3, -f = -3*x - 4*d. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 6*o + 10*o - 2*o.\nAnswer: 17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -2085*d**2\/2 - 481*d + 1864. What is the first derivative of p(m) wrt m?\nAnswer: -2085","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -7.3. Let h = 7.98 + 0.02. Let p = -5 + h. What is the biggest value in -4, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 46. Let f(h) be the first derivative of h**2 + 110. Calculate i(f(k)).\nAnswer: -2*k - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103301123 (base 4) in base 9?\nAnswer: -572616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 15. Let w be (-3)\/((-63)\/125999994) + k\/(-21). What is w rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 2\/301, 2606, -17, -3?\nAnswer: 2606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38914665*q**2 - 36306624 wrt q?\nAnswer: -77829330*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Does 2 divide (-1)\/f*(0 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f\/(f\/((f**(-14)*f)\/f)))\/f*f*f**(-6\/13) assuming f is positive.\nAnswer: f**(-175\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2210 and 271150?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/125 and -39\/37.\nAnswer: 4625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-171)\/(-189) - (-1)\/(-3). What is u in -4\/7 + 4\/7*u**4 + 2*u + y*u**3 - 16\/7*u**2 - 2\/7*u**5 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -6. Suppose 3*j + 15 = 4*j. Calculate the highest common factor of t and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3982 - -5705. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609071189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1395218 and -27\/9766526?\nAnswer: 9766526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 4:04 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -4. Suppose -2*b = -3*u - 7, 2*b + 3*b - 55 = -c*u. Suppose 2*a + 2*a = 92. What is the remainder when a is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n + 12*n + 5*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 k when four letters picked without replacement from {g: 3, k: 3, x: 2}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*r + 911, -9*o = -4*o - 3*r - 4599. Are o and 921 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + sqrt(363))*3)**2 + ((sqrt(432) + 0)*-5 - -1*sqrt(432)*1).\nAnswer: -48*sqrt(3) + 6534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 205*j + 654. Calculate i(-4).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from lmwii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 0 + 0)*(5*h - h - 3*h) + 2*h**4 + 0*h**4 - h**4 + (150*h**2 - 4*h**2 + 193*h**2)*(-6 + 6 + 4*h**2).\nAnswer: 1358*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30228394 and 4508.\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -234973 - 2432.25805\nAnswer: -237405.25805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g**2. Let i(k) = 326*k + 2. Calculate i(v(o)).\nAnswer: 2934*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g. Suppose g = 3*a + 6, -a + 6*a = 3*f + 206390. Round f to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870855.9 kilograms to grams.\nAnswer: 870855900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/40)\/(189\/(-315))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/(-884) - (218\/(-104) + 2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 2\/15 (c) 2\/105 (d) -0.9 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2 = -3*q - 3, -3*q - 25545*x + 25544*x - 11 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y = -16. Let r = y + 6. Suppose d**2 - 28*d**3 - 4*d**r + 2 + 10*d - 6*d**4 + 5*d**2 + 18*d**5 + 2*d**2 = 0. What is d?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m - t = -41*m - 11, 4*t = -2*m - 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 2:44 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43435167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q + 150. Suppose 0 = -2*z - 3*z + q. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -15418?\nAnswer: 15415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1)\/(16\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2039.3 - 1938. Let l = -97 + n. Let a = 4.6 - l. Sort 7, -3, a.\nAnswer: -3, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.700033 + 8.7. What is g rounded to six decimal places?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.5697 and 4?\nAnswer: 2.4303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35292 or -211747\/6?\nAnswer: -211747\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**10\/680400 - k**8\/30240 + k**7\/11340 - 3*k**5\/20 - 7*k**2. Let p(h) be the third derivative of a(h). Factor p(d).\nAnswer: 2*d*(d - 1)**2*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 3 + sqrt(1088)*2 + sqrt(1088)*2*5)**2.\nAnswer: 624*sqrt(17) + 183881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from {o: 4, u: 3, n: 1, v: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85110189 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 4*j + 8, 1 = -2*j + 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83105447, -83105446, -83105445, -83105444, -83105443?\nAnswer: -83105442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/22 and 35\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -120. Let i = -96 - p. What is the remainder when 69 is divided by ((-21 + 3)*1)\/i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 - 3 = 0. Suppose 4*r - 10 = y. What is the first derivative of -1 - 3*z + r + 0*z wrt z?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 5. Let s(y) = -10*y**2 - 8*y - 185 + 9*y**2 + 14 - 51 - 16*y**2. Let z(h) = a(h) + s(h). Differentiate z(w) wrt w.\nAnswer: -32*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 84 = -3*m, 3*b = m + 22 + 30. Suppose -5*d + r + 0*r + 26 = 0, 4*d = -2*r + b. What is the closest to 0.3 in 4, 1\/4, d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(98) - 1*sqrt(98))*5)*1 + (3 + sqrt(98) + (sqrt(98) + (sqrt(98) - -3*sqrt(98)) + sqrt(98) - sqrt(98)) - (1 + sqrt(98) + sqrt(98)*-2)))**2.\nAnswer: 196*sqrt(2) + 4806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 29 - -8 - 14 - (0 - -63).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2 + 1\/3*w**4 + w**3 + 0 + 1\/3*w = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffu. What is prob of sequence ff?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42516134 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -101 - -1.54671\nAnswer: -99.45329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*n - 18 = 0, -6*w + 3*w + 14 = 2*n. Let b(d) = 2*d - 2*d**w - 53*d**3 + 29*d**3 + 29*d**3 - 1. Calculate b(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1\/4, -48?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -1, 4, -2 in increasing order.\nAnswer: -6, -5, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1708 and 2316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12245889*u = 12246005*u - 10556 for u.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 = -13*m + 70 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*u**3*y**2 + 16*u**3 + 12*u - 16*y**4 with respect to y.\nAnswer: 30*u**3*y - 64*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70946 - -13959.\nAnswer: -56987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34420188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.21 - 5. Let d = r + -6.21. Let b = -5.78 - d. What is b rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 920\/3 + -7183\/24. Let m = 29723\/12 - 2485. Calculate the common denominator of m and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 17, 1, -1.9, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6174*x**2 + 1870722*x - 5. Determine j(303).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45453.89 weeks?\nAnswer: 27490512672000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 855\/1100 - 4\/5. Let p = -331\/44 - j. Let w(n) = n + 3. Let m be w(-10). Is m at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -141*a**2 - 5*a - 3. What is y(1)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10*-0.269817\nAnswer: 2.69817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/19, -2\/7, -3, -5, 2\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 9*n + 6. Let y be s(11). Let q = y - 16. Let w(a) = -a + 9. Let h be w(q). Let p(c) = -c**2 - 4*c - 2. Give p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02612 rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4409*t + 1717940 = 3182*t + 9939*t for t.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3155, -3080, -3003, -2924, -2843?\n\"Answer: n**2 + 72*n - 3228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1383*f. Let s(z) = 27*z + 48. Calculate j(s(t)).\nAnswer: -37341*t - 66384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 460 - -316?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*d**2 + b*d + 35*b - 2*d**2 - 406037*d + 6886 wrt d?\nAnswer: -4*b*d + b - 4*d - 406037","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 7*p**4\/24 + 7*p**3\/3 - 18*p**2. Differentiate u(l) wrt l.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 7. Suppose -20 = 6*w - 8. Let z be 6\/(2\/20 - w\/5). What is the greatest common divisor of s and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 20, -m - 2210*t = -2209*t + 3 - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 15. Let k(u) = -u**3 + 10*u**2 - 8*u - 5. Let q be k(9). Let l be a(q). Suppose 29 = 4*r + l. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 119 + 10 - 9*u**2.\nAnswer: -9*u**2 - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q, -5*q = 2*p - 58. Let i = p - 31. Let y = 5.8 - 10.8. Which is the smallest value? (a) 5 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/36*((-214)\/88 - 152\/(-836)). What is the smallest value in -0.2, 1, 1\/3, i, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-24)\/9 + 2). Let d(m) = 9*m**2 + 5*m - 3. Let i(b) = -5*b - 330*b**2 + 12*b - 4*b + 335*b**2 - 1. Determine c*d(k) + 5*i(k).\nAnswer: -2*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3))**(-4\/11))**(-9) assuming c is positive.\nAnswer: c**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/2)\/m)**(-2\/55))**(-1) assuming m is positive.\nAnswer: m**(1\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 - (-2 + 2 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23287 is divided by 143.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, c: 1, j: 4, m: 2, r: 1, z: 4}. Give prob of sequence jjzm.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y**2. Let n(k) = -8*k + 1057015. Determine n(u(j)).\nAnswer: 56*j**2 + 1057015","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 9:35 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 44686560226?\nAnswer: 44686560225.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6741 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 794, 1553, 2320, 3101, 3902?\n\"Answer: c**3 - 2*c**2 + 758*c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 8*a + 10. Let z = -16 + 6. Let c be t(z). Let p = c + 15. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 272, 304, 322, 320, 292, 232?\n\"Answer: -a**3 - a**2 + 42*a + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 5*z**4\/24 - 5*z**3\/3 - 2*z**2. Let t be j(9). Let m be t\/14*6\/5. Solve -w - 1 = -m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -57*m + 3186. Let w(b) = -11*b**2. Determine v(w(u)).\nAnswer: 627*u**2 + 3186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u**2 + 15*u + 24. Let g(s) = -13*s**2 + 31*s + 48. Let p(w) = 3*g(w) - 5*m(w). What is the remainder when 645 is divided by p(-18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37010 is divided by 9252.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 971015?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -683, -1599, -2805, -4301, -6087, -8163, -10529?\nAnswer: -13185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -1\/30*k**5 + 2*k**2 + 0 + 0*k**4 + 0*k**3 + 0*k. Let u(p) = -6*p. Give v(u(x)).\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**5\/60 - p**3\/6 + p**2. Let j(t) be the first derivative of l(t). Let z(a) = -31 + 2*a**2 + 31. Calculate z(j(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -310*v + 305*v. What is the remainder when 47 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.25. Let s = d - -0.1. Let f = 2.05 + s. Which is the second smallest value? (a) f (b) 0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3339342177?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78.94507 + 0.05493. What is the nearest to w in -6, 5, -4, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -578, -553, -520, -485, -454?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*l + 4 = 0, 3 = 10*c - 12*c - 3*l. Suppose -k - 3 = 0, 2*b - 94 = -c*k + 4*k. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 20*x**2 - 20*x + 53. Give k(19).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 390820, -4, -7, 0 in descending order.\nAnswer: 390820, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - j + 2. Let g = 2 - 6. Let c be x(g). Let w(t) = -8*t - 12. Does 13 divide w(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 1:21 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 4. Let f be c(8). Suppose -5*a = f*d - 28, -d + 5*a + 7 = -0*d. Let q = 273 - 267. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/7))**(25\/3)\/(m**(-20\/3)\/m*((m*m**14\/m)\/m)\/m*m))**9 assuming m is positive.\nAnswer: m**(-561\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s = 8. Suppose -3*w + k = 0, 2*w + k = -w. Suppose -6*t + 13 = -9*t + 5*o, w = -2*t - o + 13. Which is the nearest to s? (a) t (b) -2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -257*j**7\/105 - 43*j**5\/12 + 272*j**2. Find the third derivative of x(t) wrt t.\nAnswer: -12336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 24 = 3*a, -18*i + 21*i + a = 6 - 3 + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 - -248. Let v = 149 - p. Let x = 0 - -1. Put x, v, -2, -0.1 in increasing order.\nAnswer: -2, -0.1, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 3*z**2 + 2*z - 3. Let q be (6\/3 + -3)*-3. Let m be l(q). Solve -10 = 5*x, 0*o + m*x = o - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127 times -12\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1657 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 150*z + 1395. What is n(9)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 40344.18 millennia?\nAnswer: 40344180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305 and 66673.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/(-110)*20\/8*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + (0 - 4))*-9 + -4. Solve 4*r = 5*y - k, -3*r + 3*y - 21 = 5*y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*o - 9 + 16 = 0, 0 = -i - 4*o - 24. Let s be -2 + (3 - (3 + i)). Solve s*j - 18 = -j + 5*c, 3*j - 2*c = 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**3))\/(w\/w**(7\/4)))\/((w\/w**(-2))\/w**(-9)))\/((w*w**(-1\/3))**(-40)\/(w\/w**(2\/9))**(-1\/21)) assuming w is positive.\nAnswer: w**(1337\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20038993 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 484231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104 + -104. Suppose p*x = -5*x + 5. Solve l - x = -2*h - 4, -5*l - 10 = 5*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from {u: 2, y: 5, v: 3, g: 5}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143*p**4*q**3 - 24*p**2*q**3 - 2*p*q - 2*q**3 - 137*q - 3 wrt p?\nAnswer: 1716*p**2*q**3 - 48*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, z: 1, h: 1, u: 1}. Give prob of picking 1 h, 1 z, and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1634 - 0.0224. What is a rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -2*q**7\/35 + 7*q**6\/75 + 3*q**5\/5 + 2*q**4\/5 - 8*q**3\/15 - 3*q**2\/5 - 7*q + 4. Let g(j) = 0. Calculate j.\nAnswer: -1, -1\/3, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1358822 times 1\nAnswer: 1358822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 14.9, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 22875, -45.\nAnswer: -45, 26, 22875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**(-16\/7)\/((l\/l**10)\/(l**(-1\/8)*l)) assuming l is positive.\nAnswer: l**(937\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 642*u - 8305. What is r(13)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = -10*o + 19*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 8:32 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -606937, -0.5, -0.3, 1\/6?\nAnswer: -606937","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 7*v - 7. Let i be c(5). Suppose 0 = i*d - 3*k - 111, -2*k + 34 = -3*d + 147. Let f = d + -20. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(1*sqrt(320) - sqrt(320))\/(sqrt(4) - (sqrt(24) + sqrt(48)\/sqrt(2))\/sqrt(6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.5, 0.044, -1, -0.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2104170 - 7?\nAnswer: -2104177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6319206 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -182, -366, -550?\n\"Answer: -184*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2011, 3797, 5583?\nAnswer: 7369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1395 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from wwyyywyy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 9. Let u be f(-6). Let w = 4 + u. Calculate the remainder when 2 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 482 + -480. Solve x - 1 = 3*a, p*x = -x - 4*a - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 503*h - 239*h + 704*h.\nAnswer: 968*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429 = -5864*p + 5897*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11663*o - 85 = -5*m - 11661*o, 3*m - 4*o = 51 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/28 of a week?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87\/821 + -94459\/62396. Find the common denominator of t and -43\/8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/10 - (-16)\/(-80). What is the second smallest value in 0.13, v, -2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 67\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41.8 from -110299.067.\nAnswer: -110257.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9314.9 - 9317. Which is the nearest to 1? (a) f (b) 207 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 13629 = -1775. Let a = -2627 - k. Suppose -q - 74 = -a. Round q to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 2:46 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -1\/120*z**6 + 5\/6*z**3 + 0*z**4 - 1\/60*z**5 + 0*z - z**2 + 0. Let t be w(0). Solve -t*i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37829, -75666, -113511, -151364, -189225, -227094?\nAnswer: -264971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.127, -13, 2\/5, -0.8 in decreasing order.\nAnswer: 3, 2\/5, 0.127, -0.8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65217 is divided by 21707?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8370.73565 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 25*p + 49. Let n(t) = t**2 + 12*t - 24. Let a(s) = 5*n(s) + 2*x(s). Let f be a(-12). Solve -2 = m + f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-1)*(-4)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5280 and 11375100.\nAnswer: 91000800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 4, 926, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e7ae6a + 2?\nAnswer: 3e7ae6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 224 = g + g, 4*f - 3*g = 293. Suppose 232*a - 243*a = -341. Calculate the remainder when f is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237, 157, 19, -207, -551, -1043, -1713, -2591?\nAnswer: -3707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.86 + -10.88188. Let p = 17.978 + -18. Let a = z - p. What is a rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -138 (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h. Let q(s) = -4*s + 1. Let u(v) = 5*n(v) + 4*q(v). Let t be u(-1). Solve -t*g - 5*c = 15, 6*g - 5*g + 7 = -2*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 1.1. Let z = y + 2.3. Let h = 3117.4 + -3117. What is the second smallest value in h, 1\/4, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.2, -0.42, 632, 4, -5, -3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57498377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/5)*k**8 assuming k is positive.\nAnswer: k**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1016 - 1021.09. What is k rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16276*r*v**3 + 46*r*v**2 + v**4 - 40*v**3 - 97*v**2 + 83*v wrt v?\nAnswer: -97656*r + 24*v - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 7*d - 9. What is l(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsscscsvcccycvy. Give prob of picking 1 v, 1 s, and 1 y.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*z + 772, -15*z + 18*z + 4*v - 773 = 0. What is the remainder when 1911 is divided by z?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 + -2.92. Let x = 0.036 + 0.464. Let j = -63 + 691\/11. Sort j, m, x.\nAnswer: m, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.208 and -0.2?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -0.1, 2420, -5, -261?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -30*o**2 + 10*o - 46. Let z be k(4). Let r = 585 + z. What is the greatest common divisor of r and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(15\/6)*3\/12.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*d + k = 2, 5*d + 5*k = 0. What is the third derivative of 2*t**4 - 4*t**4 + 2*t**2 + t**d wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csbwcswcsi. Give prob of sequence ss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2405589736 and -403844.\nAnswer: -2405993580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4822?\nAnswer: 2, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-198)\/8*(15\/(-9))\/5. Let u = o - 247\/28. Find the common denominator of -13\/5 and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*z + 3)*(0*z**2 - z**2 + 0*z**2) - 19*z**3 - 15*z**3 - 19*z**3.\nAnswer: -55*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w\/(w\/(w\/(w\/(w\/(w\/(w*(w*(w*(w\/(w*w\/(w\/w**(-1))*w))\/w*w*w)\/w)\/w*w*w)))))))\/w))\/w)**(-40))**(-8\/5) assuming w is positive.\nAnswer: w**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/4)\/(4\/16). Suppose 4*i - 3*q = 21, -i - m*q - 1 = -2*i. Let f be (-6)\/(-2) + 0 + 1. Calculate the highest common factor of i and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-20)*-4*(-6)\/36.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54188009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714 is divided by 58.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-8.7.\nAnswer: 4.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = t + 70 + 29, 2*u + 4*t = 66. Let g = 66 - u. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 140030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.339 (b) 34 (c) -2\/15 (d) 1 (e) -0.04 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -91, -199, -359, -577, -859?\nAnswer: -1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 867.1 take away -16.6?\nAnswer: 883.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 26\nAnswer: 19\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(48\/(-8)))\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/((-1350)\/(-36)))\/(10\/81*3)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4108086*p**5 + 2*p**2 + 97858*p?\nAnswer: -246485160*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 505 and 177.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949890.\nAnswer: 2, 3, 5, 31663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14763 times 0.2?\nAnswer: -2952.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*f = -38, -2*f = -4*j - 4*f - 44. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*f**4 + 216*f - 3261?\nAnswer: -32*f**3 + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -913\/1096 + -40\/137. Let f = 0.13 - 0.63. What is the smallest value in f, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 667 and 667759.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 2*b - 3. Let n be c(-4). Sort 1, -4, n in decreasing order.\nAnswer: n, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.6 - 12.6. What is the third smallest value in 7, 0.2, t?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 8*f. Let d(w) = 3*w - 8. What is b(d(l))?\nAnswer: 18*l**2 - 120*l + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 2*n**2 + 2*n. Suppose -378*h - 9 = -381*h. Let q(v) = -26*v + 3. Let s(r) = -29*r + 4. Let m(k) = h*s(k) - 4*q(k). Give j(m(a)).\nAnswer: 578*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**2 - 2*o + 25. Let z(n) = 3*n**2 - n + 12. Let q(c) = 2*d(c) - 5*z(c). Let l be q(0). Let y = -10 - l. Solve 2*g + 0*g - 2 = y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 2. Suppose -m + s = 2*m. Factor 2\/5*p**4 - 8\/5*p**3 + 0 - 4\/5*p + m*p**2.\nAnswer: 2*p*(p - 2)*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71383 is divided by 63.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1357, 2493, 3627, 4759, 5889, 7017, 8143?\n\"Answer: -s**2 + 1139*s + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -7, -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -979 divided by 6\nAnswer: -979\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xcxsbxvxvxccxxbxy. What is prob of sequence xxsv?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3623*11\nAnswer: 39853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 404748559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*s**5 + 2*s**4 + 492*s**2 - 1435*s wrt s.\nAnswer: 120*s**3 + 24*s**2 + 984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/24 - (-20)\/6. Suppose 0*l + k*w + 252 = -2*l, -3*l - 2*w = 368. Round l to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*-1 + sqrt(13)*1*2)*-5*-2.\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/((-24)\/658))\/((-5894)\/6736). Suppose 98\/3*l**2 + 28\/3 + 26\/3*l**3 - 2*l**4 + s*l = 0. Calculate l.\nAnswer: -1, -2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence luk when three letters picked without replacement from {u: 9, d: 1, k: 1, q: 2, l: 5}?\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18761214, 75044839, 168850880, 300179337, 469030210, 675403499?\n\"Answer: 18761208*w**2 + w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220595 is divided by 44051?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p. Let s(x) = 3*x. Let m(z) = 16*z + 2. Let c be m(-1). Let a be ((-3)\/2)\/(7\/c). Let r(g) = 3*g. Let t(d) = a*r(d) - 4*s(d). Give t(n(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -8)\/((-14)\/(-70)). What is the highest common divisor of 785 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/30 + 6\/(-270)*129. Let k be v\/(-1) + 3\/(9\/(-21)). What is the second smallest value in k, 1, -3, 1\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53411, -53410, -53409, -53408?\nAnswer: -53407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 + 123 = -5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2674, -2343, -1774, -973, 54, 1301, 2762, 4431?\nAnswer: 6302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1205538 is divided by 200922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807815 is divided by 82.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/77 (b) 0.13 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 4}. Give prob of picking 3 h and 1 u.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-14)\/((-140)\/30) + 6436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-10 - -2) + 1 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(45) + 4)**2 + 2*(sqrt(80) + 0 - sqrt(80)) + sqrt(80) - (2 + (sqrt(45)\/(sqrt(9) + sqrt(36) + sqrt(9)) - (sqrt(120)\/sqrt(3))\/sqrt(8))).\nAnswer: 124 + 235*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 110 = -0*w. Solve w*j = -4*q - 7, 4*j - 2*j + 10 = 2*q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r - 82*r**3 + 57*r**3 - 71*r**3 + (-2*r + 2*r - r)*(-2*r**2 - 3 + 3) in the form z*r + v*r**2 + q*r**3 + g and give q.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-48)*(-13)\/(-104)*-4.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {e: 2, o: 4, z: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -8200.7.\nAnswer: -8200.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702082899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7 + (3011 - (3 - 10))?\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**3 - x**2 + 10*x - 5. Let c(k) = -4*k**3 - 3*k**2 + 11*k - 6. Let v(l) = -4*c(l) + 5*t(l). What is v(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - 100011101?\nAnswer: -100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 8:54 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**3 - 21. Let f(s) = 2*s**3 + 7. Let w be (1\/(-2))\/((-3)\/(-30)) + -6. What is w*f(v) - 4*z(v)?\nAnswer: -2*v**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 7*f**2 + 15*f**2)*(f - 6*f + 0*f) + f - 2*f + 2*f**3 + 3*f.\nAnswer: -118*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5*(-1 + sqrt(325) + 5) - (4 + (0 + sqrt(325) + 4)**2)))*-1.\nAnswer: 15*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*i + 2 = -348*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -406 - -410. Solve 6*b + 2 = -r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 694313326*0.5\nAnswer: 347156663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**3 + 10*p + 4. Let o(v) = -v**3 + v + 1. Let r(g) = -i(g) + 4*o(g). Find the second derivative of r(c) wrt c.\nAnswer: -42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -0.009?\nAnswer: 4.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.81 - 0.68. Put 5, s, 4 in decreasing order.\nAnswer: 5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(3*b - b - 3*b)*(-3 - 317 - 34)*(2*b**2 + 0 + 0).\nAnswer: -708*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*a**4\/2 - 50730*a**3 - 384537*a**2\/2 - 48348*a + 291384 = 0. What is a?\nAnswer: -1349, -12\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 4126015?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9 - 5 - 3*h**2 - 4. Let k(r) be the second derivative of 107*r**3\/6 + r**2 + 129*r. What is u(k(g))?\nAnswer: -34347*g**2 - 1284*g - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 265 + -1858\/7. Which is the third biggest value? (a) 1 (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -38. Suppose 4*i = 63 + m. Calculate the lowest common multiple of i and 5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + x + 40. Suppose 0 = -2*z + 115 + 39. Suppose 3*p = z - 23. What is the remainder when p is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86 - -121. Suppose -90 = -5*m + d. Suppose -5*t + m = -5. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 195.2972 + -0.0972. What is c rounded to 0 dps?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 14522935\nAnswer: 43568805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -13*l**2. Suppose -10 = -2*o - 3*o. Let w be (140\/49)\/(-10) + 16\/7. Let m(j) = -j**2 + o*j - 2*j - j**w. What is b(m(v))?\nAnswer: -52*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34442 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -417.7 + 443. Let p = 20 - f. Let q = p + 5.8. Which is the nearest to 2? (a) q (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 - 10?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967 is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*z - 7*z + 18*r, 11 + 11 = -2*z + 3*r for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -68. What is the greatest common factor of z and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -86, -25, 134, 439, 938?\n\"Answer: 8*i**3 + i**2 + 2*i - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -100786165 at most as big as -100786166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 5*y - 2*y)*(4*y + y - 3*y) - 2*y**2 - y**2 + y**2 - y**2 - 3 + 3 + 7*y**2 + 2*y - 7*y**2 - 4*y**2.\nAnswer: -11*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**3 + 27*s**3 - 14*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6700648 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-2\/5)*r))\/r)**(1\/38)*(r**(-2)\/r)\/(r*r**(-1\/6)*r)*(((r**(-5)*r)\/r)\/r*r**0)\/((r**(-1)\/r)\/r)**(3\/25) assuming r is positive.\nAnswer: r**(-30029\/2850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 38*d - 260. Let i be t(7). Let b be 360\/1 - i*(-6)\/9. Calculate the greatest common divisor of b and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v + 1. Let p(z) = -29 - 23*z + 30 - 28*z + 44*z. What is -5*p(l) + 6*u(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 94*a**2 + 1315*a + 11474. Give t(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 3, 80, 5, -4 in increasing order.\nAnswer: -4, -2, -1, 3, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3 + 5*v**3 + 6*v**2 + v**2 - 6*v**3 - 4*v**3 + 6*v**3 + 4*v. Suppose 5*u = 0, -2*t = t - u + 9. Does 3 divide q(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5319980?\nAnswer: 2, 5, 17, 15647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1205618773 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330 and 210.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**5\/7 + 16*o**4\/7 + 132*o**3\/7 - 16*o**2\/7 - 130*o\/7 = 0.\nAnswer: -5, -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00252170895 to five decimal places.\nAnswer: 0.00252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5217 is divided by 133.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 0.3502617?\nAnswer: 5.3502617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 26. Let x(y) = -y. Determine x(l(f)).\nAnswer: f**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122 + -118. Suppose 2*c - 4*c + 53 = 5*u, -35 = -3*u - 2*c. Solve -a = -m + 4*m - u, f*a - 18 = -3*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/2 (b) 923 (c) -0.2 (d) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 1 - 1\/10*f**2 + 1\/20*f**4 - 1\/5*f + 1\/15*f**3. Factor u(g).\nAnswer: (g - 1)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d - 54. Let v be b(-13). Let f = -20 + v. What is the nearest to 2\/5 in f, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/48 + (-8)\/3. Put 4, c, 5 in decreasing order.\nAnswer: 5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97802347*c**3 + 48901175*c**3 + 48901164*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1263731*p**2. Let h(a) = -2*a. Determine q(h(n)).\nAnswer: -5054924*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**4 - 127060*a**3 - 26462100*a**2 = 0. What is a?\nAnswer: -25202, -210, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8, 43, 130, 293, 556, 943?\n\"Answer: 4*m**3 + 2*m**2 + m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, -15, -34, -51, -66?\n\"Answer: w**2 - 24*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3, 27 = -5*y + 2*y - 3*t. Let o = 13 + y. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1108120 and 41080?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a**3))\/(a\/(a\/(a\/a**(-5)))))**(4\/13)*((a**(-7)*a)\/(a*a**(4\/7)\/a))\/(a**0*a)**(-2\/51) assuming a is positive.\nAnswer: a**(-41740\/4641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000713 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105 + 56. What is the least common multiple of (-770)\/p - (-2)\/7 and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132 - (-15)\/(-9 + 4).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 8*j**2 - 10*j + 17. Calculate the remainder when 13 is divided by q(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/6)*h**1)\/(h\/h**(-1))**35)**40 assuming h is positive.\nAnswer: h**(-8260\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-480)\/(-9)*1320\/16. Round a to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 440142 - -3?\nAnswer: 440145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6*d + 3)*(-23 - 11 - 20).\nAnswer: 324*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 3, 0, -3, 2564, 4 in decreasing order.\nAnswer: 2564, 57, 4, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -632\/3*s**2 + 1270\/3*s - 212 - 2\/3*s**3.\nAnswer: -2*(s - 1)**2*(s + 318)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81499604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 9) to base 8\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, b: 2, y: 3, l: 1}. Give prob of sequence lyby.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1651, 2, -1.9, -4, 103?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/32, 5, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvv. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**4\/4 - 17*b**3\/6 + 15*b**2 + 3368*b. Give d(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281003 is divided by 93667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2597, 2598, 2599, 2600?\nAnswer: 2601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 15*p - 27228 + 3728. Calculate the remainder when p is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - -0.1. Let y = 45 - 87\/2. Let b(a) = -a**2 - 10*a - 5. Let n be b(-9). Put y, n, o in decreasing order.\nAnswer: n, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-7 + 14 - 15) - 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a - 2*a - 5*a - 23*a**2.\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6182 - 2093789055.\nAnswer: -2093782873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/16*(112\/12 + -9)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*n + 5*n**5 + 11*n**5 - 4*n + 8*n**5 wrt n.\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 5. Let t = 28537 - 28538. What is the third smallest value in 2, u, t, -37?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 24*d**3 - 28*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152*g**3*r**3 - 2*g**3*r + 5*g**2*r**3 + 5*g**2*r**2 - 2*g*r**3 wrt g.\nAnswer: 912*r**3 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44514 + -3?\nAnswer: 44511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 1. Let n = 94 - 93. Let z(p) = 78*p + 18. Let x(a) = n*z(a) - 3*d(a). Let c be x(-8). Round c to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*3\/((-45)\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106157431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -43bc6 (base 14) to base 7\nAnswer: -1252536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 7828 = -2743. Is -3 + s\/((-444)\/(-112) + -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4812*f - 62. Let y(w) = -2406*w - 27. Let x(t) = -3*k(t) + 5*y(t). What is the first derivative of x(s) wrt s?\nAnswer: 2406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrr. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*n - 2*n + 41, -25 = -a - 5*n. Suppose 87 - 207 = -4*v. Solve -r + 12 = 3*j, 10 = -a*j + v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 2. Let o = -15 - -24. Calculate the least common multiple of (45\/6)\/(o\/12) and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1166.667, -1\/8, 3\/5, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x. Let r(f) = 2*f**2 - 741. Give r(l(a)).\nAnswer: 288*a**2 - 741","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 174721204949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*k**2 - 11*h*k*z + 45*h*o*z - k**2*o*z + k**2*o + 4*k**2*z + 2*o*z - 3 wrt h.\nAnswer: -k**2 - 11*k*z + 45*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 6. Let x = 50 + t. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w. Let a(o) = -937*o**2 - 2*o - 23145. What is p(a(m))?\nAnswer: -1874*m**2 - 4*m - 46290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (7*2\/4)\/(5\/50) and 4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-12)\/30*(-1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-120)\/(-8))\/(-15))\/((-1)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -8*b - 13. Let w be o(-2). What is the third derivative of 38*p**6 - 3*p**w + 3*p**3 + 1439*p**2 - 1470*p**2 wrt p?\nAnswer: 4560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 33*b + 31*b - 2 = 4, -4*b = -6*w - 20 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17\/56 - 1\/56. Let s be (-15)\/21 + -1 - -2. What is x in 0 + 2\/7*x**4 - a*x**2 + 2\/7*x**3 - s*x = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -863 + 861. Which is smaller: 226 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1026 by 19.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3691243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 1*4\/(-8)*2. Let b be 4\/1*(-76)\/(-16). Suppose -20 = -5*i - 2*d, 5*d - 16 = -2*i - 2*i. Solve 2*w + i*n = -w + b, m = -5*w - 4*n + 29 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**4\/24 - 14*g**2. Let z(l) = 5*l - 1. Let x(m) = 9*c(m) - 2*z(m). Determine x(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/6*2\/(-3). Let c(b) = 2*b - 22. Let z be c(10). Let l be ((-400)\/(-70))\/(z\/(-7)). Solve 3*y = 6*o - k*o, y + l = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**10*v*v)**(-10\/9))**(-13) assuming v is positive.\nAnswer: v**(520\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 22*r - 9. Let n be k(-5). Let d = -19 + 4. Let h = d + n. Which is bigger: h or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 2\/97225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10025 (base 8) in base 3?\nAnswer: -12122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 342 - 396. What are the prime factors of b\/45 + (-5656)\/(-10)?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - v - 12*v = -115 - 87, 0 = -3*k - 4*v + 73 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -2*q - 41. Let y = 54 - q. Let u(b) = 3*b. Let m be u(3). Calculate the highest common factor of m and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -7*w + 4*w - 73, -3*j - 5*w + 81 = 0. Let t = 29 - j. Calculate the smallest common multiple of 5 and 6 - (0 + (-2 - t)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694 is divided by 75 + ((-6)\/(-6) - -6) - (0 + 6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bibwbiibpiib?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1862 (base 11) in base 14?\nAnswer: c11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1915387330?\nAnswer: 2, 5, 23, 127, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-5) + (-936)\/(-65). Find the common denominator of (-668)\/30 - 6\/l and 73\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 5. What is the remainder when 6 is divided by (-4)\/((z - -2)*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8568 divided by 252\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 204 (c) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111971761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**3 + 28*w**2 + 3*w + 6. Give c(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -0.6.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 = -o. Let n(t) = -4*t - 5 + 2*t - 3*t + o*t. Is n(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 1. Let g be o(-3). Suppose -2*n = 3*n - 80. What is the remainder when g\/6 + 88\/3 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 2. Let v = -4788 + 4792. Put v, -1, 0, w in decreasing order.\nAnswer: w, v, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010027 rounded to 6 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 120*m - 3422. Determine o(74).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 - -75. Suppose -s*r + 5*r + 3*f + 10 = 0, -50 = -5*r + 2*f. Solve 2*b = -4*l - r, l + 4*b = 4*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let k(f) = 8*f - 2. Give k(i(w)).\nAnswer: -8*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-22) + -1 + (-2)\/(-11). Solve -4*l + y*o - 5*o + 9 = 0, -5*l = 2*o + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-121)\/11)\/66*6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from kyfuczu?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110111100111 (base 2) in base 10?\nAnswer: 7655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17688\/20105 or 1?\nAnswer: 17688\/20105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 4*q**2 + 10*q - 12. Let w be c(-6). Solve b = 3 - w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2062*c**3 - 5*c**2 + 243*c + 1?\nAnswer: 12372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1549? (a) -4 (b) -3 (c) 2\/3 (d) 2\/99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 - -230. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 16 = -2*z. Suppose 3 = z*i + 11. What is the nearest to -2 in 5, -5\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.30249 to one decimal place.\nAnswer: 28.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42ed + -6?\nAnswer: 42e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 3*d - 7. Let l be c(-5). Let o(u) = 31 + 0*u**2 - 3*u + u**2 - 33. Determine o(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 1. Let t = -6 + 8. Let x be i(t). Suppose -3*j = x*z - 9, 0 = 2*z - 4*z + 2. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15381 - -15686. Let o = -39 + 155. Let h = r - o. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (84\/(-3))\/4 + 1. Let j = o + 8. Let z(u) = u + 2 - j + 0*u. Let k(t) = 8*t. What is k(z(s))?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 4*r - 8*r. Let x = r - -24. Suppose x = -3*z + 1 + 8. Solve -2*i + 12 = k, 4*i - k = z*k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2*r**2)*(6*r**2 - 5*r**2 + r**2) + 2*r**4 + 6*r**3 - 3*r**3 + r**3 to d*r**2 + w*r**4 + u*r**3 + c*r + x and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 824 + -44. Let t be ((-416)\/i)\/((-1)\/5). Factor -2\/3*q**3 - 2*q**2 + t + 0*q.\nAnswer: -2*(q - 1)*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402980979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 5*l**3\/6 + 2*l**2 + 114*l. Let y(r) = -4*r - 3. Let x be -3 + 2 - (-1 - -4). Give x*y(z) - 3*a(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 28*z + 21*z + 29*z - 87*z to t*z + c and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9\/10 of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 260, 3, -5, 4, 42, 5, -4 in decreasing order.\nAnswer: 260, 42, 5, 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 13*z**2 + 8*z - 86. Let i be m(-14). What is the nearest to 2\/9 in -2\/13, i, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 0.1309?\nAnswer: -0.3691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -26*v + 8*v - 4 - 6. What is the remainder when i(-6) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q. Let i(d) = -d. Let a(b) = -b. Let z be a(0). Suppose -m - 8 + 1 = z. Let s(y) = y**2 + 12*y + 22. Let x be s(-10). Give m*i(o) + x*j(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 13. Let y = -15 + 5. Let h be s(y). Suppose 0 = h*j + 3*a - 15, -3*j + 3*a + 22 = -a. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 + 4 + (-1981)\/490. Let c = s + -2\/35. Let k be 1*2 + 24\/(-10). What is the nearest to k in c, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 6*b - 2. Suppose 182 = b*f + 3*m, 9*f - 4*f - 2*m = 493. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1018804600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 52 - (133 + -87).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03037247 rounded to three dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.95 + 1. Let d = 0.05 - x. Let f = d - -3. Which is the third smallest value? (a) -0.2 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203553 (base 7) in base 8?\nAnswer: -451777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x - 13 = 0. Suppose -69 - 27 = 8*a. Is a > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/208264 and -9\/70.\nAnswer: 1041320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1. Let u(j) = 36*j - 1. What is u(i) + 2*x(i)?\nAnswer: 36*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -251 + 252. Is p >= -2\/21423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2066 divided by 177?\nAnswer: -2066\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Let z be (-3*11\/5 + 1)\/((-2)\/30). Suppose z + 69 = 2*y + 3*x, -y = -u*x - 63. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (936\/(-124))\/(-2) + -4. Let u = -83\/93 - d. Let o = -0.6 + -2.4. What is the biggest value in u, o, -1.6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-17)*s*s\/(s\/(s\/s**(-3)*s))*(s*(s\/(s*s\/(s\/(((s\/((s*s\/(s**(6\/13)\/s)*s)\/s))\/s)\/s)*s)))\/s)\/(((s*s\/s**(1\/10))\/s)\/s) assuming s is positive.\nAnswer: s**(-697\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -1 + 1 + 3. Suppose -4*v + l + 7 = 0. Is 19 a factor of -2 + 40 - (v - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 281 - -72. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*d**3*w**4 + 4*d**3*w**3 + 15*d**3 - d**2*w**2 wrt w.\nAnswer: 264*d**3*w + 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1790369*h**4 + 3*h**3 + 1668418*h**2 - 16 wrt h?\nAnswer: 42968856*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 1. Let c(j) = -31*j**3 - 93*j + 93. Give c(u) + 93*k(u).\nAnswer: -31*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g - 3. What is k(11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14 times 0.06\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -8*g**2 + 618*g. Let m(o) = -4*o**2. Give b(m(c)).\nAnswer: -128*c**4 - 2472*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3 - 1940*x + 2115*x in the form s + r*x and give r.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 + -2 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 + 2*r**2 + 0*r**2. Let f = 7 - 5. Let k(y) = y - 4*y + 4*y - f*y. Determine k(v(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 23. Determine v(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 9*o**2 - 9*o - 5. Suppose 0*c + 24 = -3*c. Let y be m(c). Factor -k**2 + y*k**3 - 4*k - 2*k**4 - 3*k**2 - 11*k**3 - 6*k**2.\nAnswer: -2*k*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15758.\nAnswer: 2, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-1 - 10\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 802 - 403. Does 50 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 30 + 33)*(-2*t**2 - 3*t**2 + 6*t**2).\nAnswer: 66*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4425 by -2094.\nAnswer: 1475\/698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/20 - 3)*-10. Let w be (-935)\/(-102) + (-2)\/n. Let o(m) = -2*m**3 + 2*m + 1. Let k be o(-1). Calculate the highest common factor of k and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**4 - 2*v**3 + 18*v**2 + 18*v = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2 - 187*l - 1279. What are the prime factors of t(-61)?\nAnswer: 59, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -11770138?\nAnswer: -11770137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -252, -273, -296, -321, -348?\n\"Answer: -c**2 - 18*c - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.07, -1, 18533, -13?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 + (-93 - -59) - -58) + (-1 - 15).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, 275, -7.\nAnswer: -7, -0.5, 1, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 0. Let d(r) be the first derivative of r**4\/4 - 4*r**3\/3 + 3*r**2\/2 - 7*r + 1. Calculate the remainder when d(b) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2096638 is divided by 448.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-12)*3*4. Let f = 6 + y. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77) + (sqrt(77)*1 - sqrt(77)))*1)\/((sqrt(7) + sqrt(28))*6) + 2*(5*sqrt(11))**2*2 + 5.\nAnswer: sqrt(11)\/9 + 1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 154\/165)\/(1\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5054049?\nAnswer: 3, 7, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.714237 millennia to decades.\nAnswer: 371.4237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-4\/7)*v)**7\/(v**(-8\/5)\/(v\/v**(1\/3))))**(-16\/5) assuming v is positive.\nAnswer: v**(-4624\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2221, -2 in descending order.\nAnswer: 2221, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfwffww. What is prob of sequence fwfw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*o + 3*o. Solve -5*x + 4*y = -11, 37*x - 40*x + y + 8 = o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) -6 (b) 5\/3 (c) 39 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28099.87 tonnes in grams?\nAnswer: 28099870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1749058 divided by 1081\nAnswer: 1618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-1512)\/234 + (0 - -16)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88 + 34*j + 44*j - 77*j + (0*j + 4*j - 3*j)*(3 + 3 + 5).\nAnswer: 12*j + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 102*o*y*z - 104*o*y + y*z + 9*y + 34*z wrt o.\nAnswer: 102*y*z - 104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -39. Suppose 82 + o = 2*x - r, 4*x = 5*r + 179. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x**3 - 6*x**2 + 7*x + 4. Let k = 26 - 28. Let y(z) = 3*z**3 + 3*z**2 - 4*z - 2. Let v(u) = k*i(u) - 5*y(u). What is v(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.013 + 0.111. Let m = o + -0.097933. What is m rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21211 (base 3) to base 16.\nAnswer: -d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3535435, -7070876, -10606319, -14141764?\n\"Answer: -o**2 - 3535438*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 10) + (-5 - -37 - -8).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2151520 - -5?\nAnswer: -2151511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 2*b - 7, b = 3*c - 106 + 98 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 d when three letters picked without replacement from dwiilxwxglilxiwwl?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from bbvbbbbdvbxsxbxd?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -9. Suppose 5*c - 14 = y. Suppose 5*h - 127 = -c*u, -2*u - 3*h + 93 = u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 13373*i**2 + 403*i**3 + 343 - 93*i**3 + 13373*i**2.\nAnswer: 310*i**3 + i + 343","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 77, 75, 71, 65?\n\"Answer: -v**2 + v + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 157727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31, -71, -125, -199, -299, -431?\n\"Answer: -h**3 - h**2 - 30*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 0*o**6 + 9*o + 0*o**3 + 0*o**4 + 0*o**2 + 1\/10*o**5 - 1\/21*o**7 + 0. What is l in f(l) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 538622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 = -2*f + 8, 20 = 4*y + f. Solve -3*n - 15 = -0*m + y*m, 3*m = n - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g. Let l(j) = j**2 - 8*j - 18. Let u be l(10). Let f(z) be the third derivative of 0*z - 1\/60*z**5 + 0*z**4 + 0*z**3 + 0 - z**u. What is f(v(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/5)\/(i*(i**(-11)\/i)\/i))\/(i**(-1\/3))**(1\/20) assuming i is positive.\nAnswer: i**(757\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + 20. What is the highest common divisor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206737 divided by 206737\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -16 (c) -3\/8 (d) -0.4 (e) 1481\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*v - 5*b = 514*v + 38, 2*v + b = -16 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2854.1 + 2740. Let r = d - -125. Round r to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -37.5 from -23.\nAnswer: 14.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4*g - 36 = 0, 4*g - 3*g - 4 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 12883\nAnswer: 4\/12883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120.4344477 seconds to weeks.\nAnswer: 0.00019913103125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = q - 0*c - 7, 3*c - 5 = 5*q. Let i = 1 + q. Let t(y) = y**3 - y**2 - 3*y + 1. List the prime factors of t(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-6))\/(1\/8*-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmiijiemji. Give prob of sequence iie.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1810 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 699*f**3 - f**2 + 724*f**3 - 7*f**2.\nAnswer: 25*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117375 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00031409931 rounded to six decimal places?\nAnswer: 0.000314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 8. Let j be n(3). Let m be j\/((3 - 6) + 5). Let c(g) = g**2 + 10*g + 1. What is c(m)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 410, 1016, 2026, 3440, 5258, 7480, 10106?\nAnswer: 13136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(6\/7))**(-5\/4))**(-2\/79) assuming p is positive.\nAnswer: p**(15\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 15*j + 19. Let m be o(-16). Let q(s) = 4*s**3 + 4*s**2 - 3*s - 2. What are the prime factors of q(m)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1017 + ((-6 - -11) + -4 + -1 - 3). Is 1016 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -19*s**2 - 1. Let f(g) be the third derivative of -g**7\/5040 - 91*g**5\/60 - g**2 - 28*g. Let y(w) be the third derivative of f(w). Determine y(t(u)).\nAnswer: 19*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2 + 0 + 3*s**2 + 0 to the form m*s + c*s**2 + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 8*b + 3. Let h = -720 + 711. What is t(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96042, 91, 4.\nAnswer: 4, 91, 96042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76005*l**6 - 1245*l**2 + 3*l.\nAnswer: 9120600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22.9 (b) -78.95 (c) 2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 6*h**2 - 5*h - 4. Let w be o(-5). Let m = -2 - w. Suppose m*d - 401 = 45. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j\/j**6)*j)\/(j\/j**3)*j\/((j*j**(-1\/5))\/j)*j*(j*j*j**(-3\/8)*j)\/j*j*j assuming j is positive.\nAnswer: j**(673\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-2)*(50416\/(-411))\/(-23)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -14*o**3\/9 + 5112412*o**2\/9 + 3651734*o\/9 - 1460692\/9 = 0.\nAnswer: -1, 2\/7, 365173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/300 - 3*n**4\/20 - 19*n**3\/30 - 36*n**2 - 2*n. Factor f(g).\nAnswer: (g - 19)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 48484.\nAnswer: 1\/48484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -640654, -640645, -640630, -640609?\nAnswer: -640582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 306 and 3580?\nAnswer: 1095480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*h + 4032 = -85*h + 1974 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 1296.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9146*0.7\nAnswer: -6402.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*r + 2)*(2 + 3*r**3 - 2)*(-16*r - 26*r + 11*r) + (-2*r + 2*r + r**2)*(r**3 + 2*r**2 - r**2 - 2*r**3).\nAnswer: 185*r**5 + r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/2 + 21\/4*l**2 - 3\/8*l**3 - 63\/8*l.\nAnswer: -3*(l - 12)*(l - 3)*(l + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*u + 57*u - 1992. What is the third derivative of -u*f**3 + 45*f**3 + 1 - 4 + f**2 wrt f?\nAnswer: -1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/10)\/((-6)\/(-20)). Let u = 9 - l. Suppose 4*w = -u*v + 109, -2*w = w + 2*v - 80. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4644204*s**2 + 0*s + 0*s + 3220516*s**2.\nAnswer: 7864720*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(363))*-6*-6*4)**2.\nAnswer: -37635840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216244 is divided by 52?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 95. Suppose 0 = -z*y + 58*y - 92. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*f + 170, -2*h - 3*f + 48 = -29. Suppose -3*q = -4*g - h - 498, 4*q - 680 = -g. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 8) to base 6\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2245*o - 78569. What is v(-35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + -255850?\nAnswer: -255869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*c**3 + 61*c - 61*c)*(-6 + 2 + 2 + (0 - 6 + 5)*(0 + 3 - 1) + 1 - 3 + 0 + 2 - 2 + 1 + 0 + 2 - 4) + (c - 2*c**3 - c)*(-5 + 1 - 7).\nAnswer: -237*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 25*36.9822\nAnswer: 924.555","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 740\/(-666) - 1292\/(-1152) and -1\/480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/60 - l**4\/6 + 2*l**2. Let c be j(5). Suppose 3*u + 9 = -0*g - g, 4*u + 44 = 4*g. Is c at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k + 12. Let s be u(-9). Let l(r) = 2*r**2 + 48*r + 3. Let p be l(s). Solve -p*t = -2*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 486053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + h. Let g = -5 - -5. Let q be x(g). Suppose q = -0*k + 5*k - 95. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 567\/45) + 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 17. Let z be i(-5). Let h = -29 + z. Solve -h*f + 36 = -4*r - 0*f, 5*f = 25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 + 135*f - 1 + 6*f**2 + 1 - 2*f**2 to i*f**2 + v*f + r and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2. Let f(v) = 4*v + 2. Let c(y) = -5*y - 3. Let p(t) = t + 19. Let h be p(-22). Let w(l) = h*f(l) - 2*c(l). What is r(w(n))?\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfo when three letters picked without replacement from offffyfoyfyfy?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5593000 rounded to the nearest 100000?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 y when four letters picked without replacement from yvyvyevv.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 513, 524, 535, 546?\n\"Answer: 11*o + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103 - 11?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010011100 (base 2) in base 9?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3488.102 and -5?\nAnswer: -17440.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 990 and 110?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2579 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llh when three letters picked without replacement from {l: 2, h: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yesassffsssyyyfaffy. Give prob of picking 2 s.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 148441913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -47 - 43 - -19*(-3)\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + (sqrt(75) + 3 - sqrt(75)) + 3))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 246 and 54858?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = -c + 5*b, -5*c + 4*b - 502 - 219 = 0. Let w = c + 145. Solve d - 3 = -w*h, 4*d + 2*h = 4*h - 24 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 10 = -1. What is the nearest to k in 5, -0.4, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*q - 11, 3*q + 1 + 14 = 3*f. Let y be 52\/14 - 4\/(-14). Suppose -f*s = -y*s + 7. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 552*a - 1107*a + 545*a. Let s(j) = -2*j. Give r(s(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/30 + 3\/10. Let y be 126\/15 + -37 + 29. Put y, c, 1\/4, -0.2 in decreasing order.\nAnswer: y, c, 1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4492998 is divided by 99.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - c + 26, -4 = -w + 2*c - 1. Put -1, -5, w, 4 in decreasing order.\nAnswer: w, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275\/525 - 1445\/(-238)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 10 - 5)*(2*h + 1 - 1)*(6 - 2*h - 6) to s*h**2 + r*h + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 41*r**3 - r + 87*r**3 - 39*r**3.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/126 and 65\/12?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*y**2 + 55*y**2 - 52*y**2 - 168*y**2.\nAnswer: -402*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/168)\/((-11)\/(-154)). Which is the biggest value? (a) g (b) 3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(68)*-4 + sqrt(272)*2*-3.\nAnswer: -72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2549b (base 15) to base 9.\nAnswer: 201422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5426578 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 609 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 112 = s, -s = 3*s + 12. Let n = u + -23. Factor n*w + 1\/4 + 0*w**3 + 1\/4*w**4 - 1\/2*w**2.\nAnswer: (w - 1)**2*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from hrfudxdhr?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsmfmwswffmfsm. What is prob of sequence hs?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -22*t**2 + 31*t**2 - 13*t**2. Let k(m) = -10*m. Calculate y(k(b)).\nAnswer: -400*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence leff when four letters picked without replacement from {e: 1, l: 3, f: 2, z: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuouuvuuvoouvo. Give prob of sequence vuov.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -24*n**3 - n**2. Suppose -4*p + 10 = 2*b, b = -4*b + 5*p - 20. Let l = b - 0. Is m(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+4469.15\nAnswer: 4473.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 4, 9, -842.\nAnswer: -842, -5, -3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 10:11 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0.5 (b) 10\/7 (c) -60 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 15093*f**2 - 308752*f + 125916.\nAnswer: -(f + 21)*(f + 2998)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 149? (a) -5 (b) -0.4 (c) -4 (d) 2\/15 (e) 18\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -181 - -231. Calculate the highest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 18, 65, 144, 261, 422, 633?\n\"Answer: r**3 + 7*r**2 - 7*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.10954ml in litres?\nAnswer: 0.05110954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -246980 - 0 - (4 + -1). Let o = -438983 - b. Round o to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 + 16?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 9 - 36. Let a(k) = -9*k + 8. Let y be a(-6). What are the prime factors of y\/3*w\/(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3928641, -3928552, -3928463, -3928374, -3928285, -3928196?\nAnswer: -3928107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 892 + -887. Determine j, given that -148*j**2 + 47*j**3 - 8*j**4 + 43*j + 38*j**3 + 23*j**3 + s*j = 0.\nAnswer: 0, 1\/2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 + 0*g**2 - 4*g**2 + (g + 0*g + 0*g)*(2*g - 2*g - g) + (1961 - 1961 - 157*g)*(2*g - g + g) to the form k*g**2 + w + a*g and give k.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3901 + 15605\/4. Which is the closest to j? (a) 5 (b) 0.7 (c) 2 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106384 + 618041 = 43*j. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.45 - -5.45. Let b = 1 + -1. Suppose 2*a - 3*k - 1 - 2 = 0, b = -5*a - 3*k - 24. Put 4, a, n in descending order.\nAnswer: 4, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62.8 - -62.7. What is the nearest to 2 in -6\/5, 5, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 + -112. What is the third biggest value in i, -0.12, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5819032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10905262 divided by -2.\nAnswer: 5452631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 835 and 1579820.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135457 and 518?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27736 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3263 <= -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1947.\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -30. Let v = 23 - u. Calculate the remainder when 3 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13940 and 25092.\nAnswer: 125460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 68585 = -36*y. What are the prime factors of y?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1446*h - 51*h = 86*h + 52239 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -9 + 13 - (1 - -9)) + 42 + -34.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/20)\/(-8 + (-2872)\/2880*-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57499900 and 354500?\nAnswer: 287499500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 1\/10*p**4 + 2 + 0*p**5 + 0*p + 0*p**2 - 1\/15*p**6 + 0*p**3. Factor i(o).\nAnswer: -2*o**3*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 + 30*y - 22. Let j be c(9). Put -3, 1, j in ascending order.\nAnswer: -3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -6*s + 11*s. Let y = 5 - 1. Suppose 3*v - n = s, -v = -3*v + y*n. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -3. Let v be w + 2 + 0 - -12. Let s = 18 + -6. Solve -s = -5*q + v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -148.8 - -151.8. Which is the second biggest value? (a) -0.3 (b) s (c) -2\/11 (d) -1256\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p - 2. Let h be y(-1). Suppose m = -2*c + h*m + 128, 3*c - 202 = 2*m. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m**2 - 59*m**2 + 10*m**2 + 23*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -619\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 78032825 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -182 divided by -2561?\nAnswer: 14\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x - 1. What is the remainder when 59 is divided by b(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -135*g - 88*g + 255*g. Let y(u) = -6*u**2. What is y(o(x))?\nAnswer: -6144*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 10, 3*i + 2*k - 36 = 95. Suppose 9*f - 4*f = i. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**5\/20 - 5*c**4\/6 + 7*c**3\/6 - 11*c**2\/2 + 8*c. Calculate the remainder when n(-11) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, t: 2, y: 1, p: 3, f: 1, z: 10}. What is prob of picking 2 z and 1 f?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 2*w - 25. Suppose w*f - 185 = -5*v + 135, 0 = 4*v - 4*f - 240. What are the prime factors of v?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6495803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, 1\/10, -1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 244890, 489587, 734284, 978981, 1223678, 1468375?\n\"Answer: 244697*d + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10688 + -3986632\/373. Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402161 (base 7) to base 5.\nAnswer: 4134011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 g when three letters picked without replacement from gbbgg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*q + 3*f, 2*q - 8 = 44*f - 43*f. Sort q, -1, 0 in increasing order.\nAnswer: -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27375 is divided by 752.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/625 and -43\/15.\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77\/4 - -79\/4. Let z(x) be the second derivative of 5\/3*x**3 - 4\/15*x**6 + v*x**4 + x + 0 + x**2 - 1\/2*x**5. What is y in z(y) = 0?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -8. Suppose 4*n = 12 + 4. Let x be k\/(-1 + n + -2). Solve g = -x*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 1 + 7. Let a(x) = x**3 + 14*x**2 - x - 28. Let z be a(-14). What is the units digit of (2 + z)*(-6)\/c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3103 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 4*h - 18, 3*h - 4 = -5*z - 0*h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 25*s**2 - 28*s - 50. Let v be q(-26). Suppose 0 = 4*b + 5 - 13. Let f = v + b. Sort -1, -2, f.\nAnswer: -2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**2 + q + 1. Calculate s(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((33 - 40) + 0 + -1 + (0 - -13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 s, and 1 d when three letters picked without replacement from {s: 1, d: 1, t: 1, g: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46037 and -0.5.\nAnswer: 23018.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 104 = -4*g, 3*i - 6*i = -9. Which is smaller: g or -27?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 478792 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 0*s**2 - 3*s + 0*s**6 - 5\/42*s**7 + 0*s**5 - 1\/4*s**4 + 0 + 0*s**3. Find the third derivative of p(h) wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*t. Solve -5*f = 5*a, t*f + 2 = -a - 0*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 0 + -138 + 142?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/((-400)\/(-45)))\/((-60)\/(-440)*(-11)\/132)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 2)*(63*o - 22*o + 4*o) as t + h*o and give h.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*r**3 - 18*r**3 + 21730 - 17*r**3.\nAnswer: r**3 + 21730","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -4, 195, 42?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 2. Suppose 2*x - 3*g + 6 = -6*g, 5*x - 3*g - r = 0. Suppose u = -x*u + 31. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -3)*2 - -101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-1))\/(53\/212). Solve b*k = -7*k - 22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1090 is divided by 345?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1297000.5us?\nAnswer: 0.021616675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.31*20.661.\nAnswer: -6.40491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -898*g**5*l**2 + 4*g**4*l**3 + g**2*l - 80*g*l**3 - 10*l**2 + l wrt g.\nAnswer: -53880*g**2*l**2 + 96*g*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/5 - 10\/3)\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -64, -107, -170, -259, -380, -539, -742?\nAnswer: -995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.53742l in millilitres?\nAnswer: 10537.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136175 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**3 + m**2\/2 - 2*m - 11314. Suppose 4*w - 3*w = -3. Let z(h) = -5*h**2 + 2*h - 5. Calculate w*z(b) + 7*u(b).\nAnswer: -6*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -482*d - 4570. Let b(i) = 10*i - 3. Determine b(s(z)).\nAnswer: -4820*z - 45703","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 63283797 smaller than 63283791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*o**4 + 2 - 1 - 5*o**4 - o**4 with respect to o.\nAnswer: 56*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458692614.\nAnswer: 2, 3, 25482923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 313286 + -39?\nAnswer: 313247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175456422*c**3*r**2 - 2*c**2 + 129*c*r**2 + 117878*r**2 wrt c.\nAnswer: -1052738532*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-1*(-1369918)\/206426.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q = -64 + 309. Solve -q*i = -2*i, 12 = -3*f + 4*i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1166 + 0.2166. Let f = -20 + 15. Let n be 5\/(-5) + 1\/2. What is the nearest to k in f, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - (0 - (0 + -10 + -1))) + 32 + 11\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (172*o + 194*o - 118*o)*(6*o - 2*o + 5*o).\nAnswer: 2232*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 3*p**2 + 3*p + 9. Let m be l(4). Suppose 0 = m*g - 71 + 61. Solve g*k - 5*v = -23, 2*v = -k - 2*k - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144 + 149. Let a(m) = 8*m - 6*m + 2*m + l. Calculate a(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(42\/(-20))*(-63)\/(-35). Let s be 3\/(-9)*(0 + -12). Suppose s*r - 1 - 35 = 0. Solve -x*t - r = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**6\/6 + l**2\/2 + 31. Let v(c) = 98*c**5 - 42*c - 2. Let h(w) = 4*r(w) - v(w). What is the second derivative of h(k) wrt k?\nAnswer: -2040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -72623329.\nAnswer: -1\/72623329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 12*p**2 + 2*p + 1. Let s be u(-1). Is (2\/(-8))\/(s\/(-13948)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22815908 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 0.5, 121211?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -347 less than or equal to -345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 8 - (3 + -2 + -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 64353?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1207?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 44795.\nAnswer: 44794.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v + 162*v + 356330 = 2073779. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-286))\/(3\/(-36)*3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -s - 3*s - 6, -x = -3*s - 8. Suppose -3*d - x*k + 6 = 0, d - 4*k + 0 - 2 = 0. What is the smallest value in d, -0.3, 0, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9632 and 22?\nAnswer: 105952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*g - 4*g + 1, -2*g + 13 = 3*k. Let q = g - -3. Let u be q\/8 + (-4)\/16. Solve -3*c = 3 - u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + -1*(1 + 1 + sqrt(147) + sqrt(147)) + -5 + -3)**2 + -3.\nAnswer: 224*sqrt(3) + 654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 511 (base 8) to base 15\nAnswer: 16e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -64. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -874 = 2*i + 3*i - x, -4*i - 3*x = 703. Let t be -1*5 + i\/(-25). Solve 7*z - t = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2801, -3\/8, 0.01?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 2*v)*(-26*v - 41*v + 27*v + (-v - v + 0*v)*(1 + 2 - 4) - 2 + v + 2).\nAnswer: -74*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 (base 6) in base 2?\nAnswer: 10001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 1977 = 1971 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2398 is divided by 795?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:09 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 135 - 544 = 0. Calculate the remainder when 245 is divided by c.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293 less than or equal to 3291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 238*v**3 + 149*v**2 - 5*v. Let l(q) = -119*q**3 - 74*q**2 + 2*q. Let d(z) = 5*l(z) + 2*m(z). Find the third derivative of d(s) wrt s.\nAnswer: -714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-63) + (-11284)\/18. Let k = -178 - o. What is the remainder when k is divided by 146?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, x: 1, i: 3, k: 1, t: 6}. Give prob of sequence itt.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4058 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5\/4 (b) 1 (c) -2\/7 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20741891*l**4 - 40*l**2 + 137324*l - 1 wrt l.\nAnswer: 497805384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.1793 and 32.\nAnswer: 101.7376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdmmcdmmdcd. Give prob of picking 4 d.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2519*y**4 - 2734*y**2 + 4. Let z(p) = 10072*p**4 + 10934*p**2 - 15. Let k(i) = 15*c(i) + 4*z(i). Find the third derivative of k(b) wrt b.\nAnswer: 60072*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -9*m + 40. Suppose 0 + 2\/7*j**m + 1\/7*j**5 + 0*j - 2\/7*j**4 - 1\/7*j**3 = 0. What is j?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-560)\/(-90) - 4) + -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4 - 89*u**3 - 2573*u**2 - 24535*u - 22050 = 0. What is u?\nAnswer: -35, -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 915664*c - 2416. Let t(z) = -2272*z + 6. Calculate -1208*t(g) - 3*u(g).\nAnswer: -2416*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 10. Let h be c(-8). Determine s so that 1\/4*s**5 + 0 + s**4 + s**3 + 0*s**h + 0*s = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158426442 divided by 24758?\nAnswer: 6399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 332653, 668074, 1003495?\n\"Answer: 335421*d - 2768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -126, -430, -910, -1578, -2446, -3526, -4830, -6370?\n\"Answer: -2*d**3 - 76*d**2 - 62*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2075 + 8170 + 5416)*(0*i - 5*i + 4*i).\nAnswer: -11511*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 4*w**2 - 4*w - 5. Let y be t(5). Suppose -q + 24 - 24 = y. Solve -4*j = -q*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = -28. Let d be 2*5\/f*-3. Find the first derivative of -d + z + 2 + z wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -185, -605, -1259, -2141, -3245?\n\"Answer: u**3 - 123*u**2 - 58*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.5 (c) -57 (d) -89.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7880 and 80.\nAnswer: 15760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*n)*(-116 - 169 - 31).\nAnswer: -632*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8))\/1*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -29.\nAnswer: -9\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -28.1. Let w = -0.1 - a. Let h = 5.33 + w. Round h to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 64.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 = -11*l + 437 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*w - 10. Suppose 0 = i + 12 + 17. Let b = w - i. Calculate the greatest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 962332 to the power of 1\/2, to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - w**2 + w + 6. Let o be f(0). Let z = o - 8. Let u be (-166)\/(-2) + z + 4. What is the highest common factor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30*(1 - (-3)\/(-9)). Suppose -r + 5 = -3*c + 4*r, -4*r = g. Let v = c - -17. Solve 4*s - v = 2*u + 3, 0 = -4*s + 4*u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, u: 4, g: 5}. Give prob of picking 4 u.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*a + 22, 5*a + 3*b = 2*a - 6. Is (-268)\/(-3) + a\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48364.7 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 0*d - 2*d + 19*d + 7*d - 7*d + 2*d - 2*d + d + (0 + 0 - d)*(-1 - 2 + 1) + (0 - 6 + 2)*(15*d - 37*d + 89*d).\nAnswer: -248*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2. Let p(f) be the first derivative of -f**5\/30 + 11*f**2\/2 + 4. Let a(c) be the second derivative of p(c). What is y(a(t))?\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8859*y**2 - 12*y + 2. Is u(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 + 3*n - 59. Let b(x) = -x**2 - x + 30. Let s(f) = -5*b(f) - 3*g(f). Let u(v) = -1. Let k(m) = -s(m) - 3*u(m). Factor k(a).\nAnswer: 4*(a - 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202 (base 3) to base 9.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1796, -3867, -6134, -8597, -11256, -14111, -17162?\nAnswer: -20409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 + 5*c**2 - c**4)*(-1 - c + 1) - c**2 + 43*c**3 - 43*c**3 + 15*c**5.\nAnswer: 16*c**5 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**7\/210 + i**6\/120 + 8*i**4\/3 + 86*i**2 + i. Find the second derivative of z(w) wrt w.\nAnswer: 12*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, e: 1, l: 1, c: 1, g: 1}. Give prob of sequence ec.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 3*n + 1500. Determine z(37).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 326529 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 = -7, -3*o + g + 213 = 0. Suppose -26*c + 25*c = 302. What is the remainder when o is divided by -2*c\/28 - 36\/63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1824836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/7)\/n*n\/n**6)\/(n**(-1\/4)\/(n*n\/(n**(-6)\/n*n)))*((n*n*n\/(n\/(n*n**3))*n)**45)**(-2\/21) assuming n is positive.\nAnswer: n**(-741\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 1 - f**2 - 12*f**2)*(3*f + f - 2*f).\nAnswer: -22*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 271 - 123. Suppose f*i - 154*i + 18 = 0. Solve -3*x = -i*m + 18, 2*m - 7*m + x = -10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 19. What is the second smallest value in b, -0.6, 4\/9?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = 4*p + 84 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q + 9. Let n(k) = -k - 1. Let m = -6 - -9. Let r(z) = z + 10. Let i(f) = m*n(f) - r(f). Determine -5*i(s) - 7*t(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*c**2 - 24*c**2 + 4*c**3)*(-c - c + 0*c + 21).\nAnswer: -8*c**4 + 84*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 52 = -6*q. Find the second derivative of q*s**3 - 10*s**3 + 9*s + 14*s**3 wrt s.\nAnswer: 84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 61200 = 5*n. Suppose -3*v - n = -20*v. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/1384 and -113\/1730?\nAnswer: 6920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/52*(-1 + 3). Suppose -25 = -3*x + 5*f, 0*x - 4*x + 28 = -4*f. Let r be (1 - 6\/x)\/(-1). Which is the nearest to 0? (a) -5 (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -34*l + 1565. Let c be q(44). What is the greatest common divisor of 391 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.0775, -2\/9, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 <= -288388\/15333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23048 divided by -134.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 162 = -3*z. Suppose z = 2*c + 10. Suppose -6*b + 650 = 4*b. What is the remainder when b is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f**3 - 141*f**2 - 310*f - 165. Determine p(-13).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k + 1904 + 67 = -242*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14826 by 1374.\nAnswer: -2471\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/470 and 81\/3033098.\nAnswer: 15165490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1475010 + 365?\nAnswer: 1475375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**5\/20 + 11*p**4\/24 - 5*p**3\/2 - 4*p**2. Let s be w(6). Let q = -48 - s. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9*h**3 + 7*h**2 - h + 13. Let f(k) = -4*k**3 + 4*k**2 - k + 7. Let s(j) = -5*f(j) + 3*p(j). Calculate the smallest common multiple of 8 and s(-2).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - 68. Suppose -i*v = -v - 6. Suppose -2*o = -a - 4 + 14, -3*o = -v*a + 24. Solve n - a = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 140 - -59. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 207, 257, 341, 459, 611, 797?\n\"Answer: 17*v**2 - v + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74\/143 - -4\/11. Let i = 0.36 - 3.36. Which is the nearest to -2\/7? (a) 3\/7 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285, -273, -261, -249?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = -177. Suppose -3*r + 180 = -69. Let m = r + l. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/45 - (-43)\/15. Suppose 0 = -b*r - 3, -3*r + 12 + 1 = -4*q. Let p(k) = -2*k + 2 - 4 - 1. What is p(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*s**4 - 168*s**3 + 132*s**2 - 32*s.\nAnswer: 4*s*(s - 1)**2*(17*s - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 182835.84 hours in days?\nAnswer: 7618.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 477 + -1182. Let v = -704.9176 - w. What is v rounded to three dps?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/136305 and -151\/390.\nAnswer: 272610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4503400 divided by -184\nAnswer: -24475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -128551579 divided by -481\nAnswer: 267259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -13 - 20*u**2 - 20*u + 2*u**3 + 0*u - 11 - 3*u**3. Let s be y(-19). Let g be (2 - 0)\/(s - -7). Which is greater: -1\/16 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137 - 73. Round o to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 26*s**2 - 2*s + 2. Let b be n(-3). What is the highest common factor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 44.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 10*a**2 - 20*a - 20. Let k be z(5). Solve -k*j - 8 = -2*c + 22, -12 = 3*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3920*h + 79. What is the tens digit of c(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*v**3 - g**2 + g*v**5 - g*v - g wrt v.\nAnswer: -6*g**2*v + 20*g*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 822.8115ug in grams?\nAnswer: 0.0008228115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 16*g. Let q(t) = 3*t**2. Give q(l(b)).\nAnswer: 768*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven tenths of a century?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 10711740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 2*u = 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 6408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 86*n**2 - 125*n - 213. Give w(-5).\nAnswer: 2562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-8) + 102091167\/548 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -37525, -2 in decreasing order.\nAnswer: -2, -4, -37525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2 - 33909*g + 849600 = 0. What is g?\nAnswer: -11328, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t + 152. Let p be u(20). Suppose 3*k + q = 6*q + 21, -p = -3*k + 2*q. Sort -1, k, -8 in increasing order.\nAnswer: -8, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/95738 and 49\/538.\nAnswer: 25753522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -791428 - -791427.7000116. Let f = 0.3 + g. What is f rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16.1 and 250?\nAnswer: 266.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/462879905 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 531143 - -53?\nAnswer: 531240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66328580 to the nearest integer?\nAnswer: 8144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - -2 - (1 - -4). Solve 5*n + 7 = -3, -m*n + 6 = -5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from oqkollrttlkorol?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 55*m - 35. Let c be a(1). Solve u - c = -22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from varrhrvrrxxxvavjrha. Give prob of sequence avaj.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (3 + -6 + -94)) + 2. Let s be -1 - 2*84\/(-8). Calculate the highest common factor of m and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 44*x + 4. What are the prime factors of t(6)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 times -9809\nAnswer: -765102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100 (base 2) to base 8.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 21*g - 11*g - 30, 4*b - 37 = -3*g for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, -0.5, 0.04, 4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987568033?\nAnswer: 987568033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/85, -2\/103, -4\/7, -4.\nAnswer: -4, -4\/7, -2\/85, -2\/103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2 + 6. Let g(w) = 4 - 3 - 10 + q*w. Let d be g(6). Solve 1 = 4*r - d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 9. Suppose w + w - 41 = 5*s, 13 = -s + 2*w. Let x be z(s). Suppose -3*d = -0 - 9. Put x, 2, d in ascending order.\nAnswer: x, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*d + 29, 7*w - 5*d + 28 = 6*w. Let x(n) = -n**3 - 2*n**2 + 3*n - 2. Calculate x(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 7*w + 7. Let x be b(-5). Let o be 42\/12 - x\/2. Is o > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19015610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 333204 + -13?\nAnswer: 333171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 + 706 = -43*f + 12 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**2. Let y = 5 + 0. Suppose -s - y*r - 4 = 0, 3*r + 2 = r. What is k(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5 = -v + 5, -3*q + 4*v + 29 = 0. Suppose 4*y = q*y + 5. Suppose 52 = y*j - 43. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 20*d**2 - 38*d + 35. What is the tens digit of q(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, f: 1, z: 2, d: 1, t: 3, b: 3}. Give prob of sequence uzu.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*w - 14 = -3*w, y + 5*w - 9 = 0. Suppose -5*g = -y*n + 799, 2*n - 4*g + 5*g - 403 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23032 + -21982. What are the prime factors of s?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69815 + 120024. What is the ten thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 631 (c) 0.1 (d) 0.12 (e) -8.74\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/14*7\/((-28)\/8)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321, 529, 621, 597, 457, 201?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 4393*l**7\/14 + 413*l**4\/12 + 5*l**3\/3 - l**2\/2 + l - 7826. Find the third derivative of s(c) wrt c.\nAnswer: 790740*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - g + 2. Let k(n) = -n**2 + 6*n + 9. Suppose 2*b = 3*b - 7. Let i be k(b). What is the units digit of h(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*h = -5*h + 427804. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1050*b + 986*b - 51497 - 2036*b + b**3.\nAnswer: b**3 - 51497","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 - 6*k - 9. Suppose 0 = -4*i + 12, q + 3*i = 2*i. Let w be n(q). What is the remainder when 27 is divided by 2 + 2 + w\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 less than 747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2405 - -4?\nAnswer: -2401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (0 + -10)) + (-7 - -14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, a: 7}. Give prob of sequence ya.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 20, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1772\/(-4873))\/(2\/(-238711))?\nAnswer: 2, 21701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653924.\nAnswer: 2, 163481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/29 - 26\/87. Let w be 4\/64*16*(-38)\/(-6). Is w less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93.711 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 5)*(0*z + 0*z - 2*z)*(-1 - 4 + 3).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 614, -5, 247 in descending order.\nAnswer: 614, 247, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 8*v**2 + v + 8. Let g be x(-8). Let z(b) = -1 - 2*b + 1 + g. Let w(m) = 2*m**2. Determine w(z(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Suppose -s*g - 4*a - 2 = -14, -g = -5*a - 15. Solve g*z = z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 12*p**2 - p + 18. Let w be h(12). What is the third derivative of 14*v**3 - 7 - 9*v**2 + 1 + w wrt v?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g - 2. Suppose 4*v + 19 = -0*h - h, 2*v = -3*h - 7. Is j(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3 (c) 2\/5 (d) 23 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 + 153*n\/2 + 6675.\nAnswer: -(n - 534)*(n + 75)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7188 divided by 6.\nAnswer: -1198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/1450)\/((-63)\/(-210))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/7 + 738204*g\/7.\nAnswer: 3*g*(g + 246068)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 8*u**2 - 32*u + 16. Let s = 2027 + -2038. Determine p(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3784 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5*k)\/k**(2\/9)*k**(2\/13)*k*k*k\/k**(4\/5)*k)**(6\/13) assuming k is positive.\nAnswer: k**(10684\/2535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - -23 - -6 - (66 - 2) - 16.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 51*m + 8*m**2 - 6 + 150*m - 49*m - 49*m. Let p(q) = -q**2 + 1. Calculate l(b) + 6*p(b).\nAnswer: b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 233, -10 in increasing order.\nAnswer: -13, -10, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 37975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.736 - -6. Let a = 0.736 + h. What is the biggest value in a, -0.06, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p = 44*p - 240. Calculate the least common multiple of p and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqzz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4967 + 43?\nAnswer: 49aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -625 greater than -625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -8 - (-70 + 96).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 1:59 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y + b + 10 = 0, 4*y + 2*b - 20 = 0. Let f = -1 + y. Solve 1 = -o - f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - 14*u - 6. Let m = 45 - 51. Let q be d(m). Let r(f) = 10*f**2 + q - 6 - 28*f**2. Let p(b) = b**2. Give p(r(y)).\nAnswer: 324*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -265926.\nAnswer: 2393334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 5*m - 5*z, -m - 2*z + 35 = -4*z. Solve 145 = 38*x + m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3312447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/3196 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24320887 and 73477?\nAnswer: 24320887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 149792 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38.2 - 30. Let f be ((-2)\/5 - (-1417)\/2180)*(-8)\/(-7). What is the second smallest value in -2, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311122033 (base 4) to base 12.\nAnswer: -a6727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 - (-2 - -2). Suppose r = 2*j - 2*i, -3*j - 4*i = 3 - 17. Let o = j + 4. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1331646, -1331647, -1331648, -1331649?\nAnswer: -1331650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n - 1. Suppose -4*t + 18 = 5*a, 4*t - t = 3*a. Let s be -1 + 2 - t*1. What is the remainder when y(s) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95094 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 4 (c) 180\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h + 2*h + h)*(7*h**2 - 4 + 4) - 1 + 1 + 2*h**3 as q*h**3 + j*h**2 + k + r*h and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.2 - 4.99. Let y = x - -0.79. Let p be 1\/1 + 10\/(-9). Put y, p, -5 in decreasing order.\nAnswer: y, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126910 - 415*s - 126910 to j*s + q and give j.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 6)*(-10)\/(-10). Solve 9 = 5*z - x, -6 = 5*z - a*z - 2*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2383 - 1662. Is q a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/((-800)\/16)*6\/(-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-68)\/(-51)*((-1037232)\/(-8224))\/(-21)\nAnswer: 2\/257","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 23318?\nAnswer: -23321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/26 + 5310\/2301. Suppose -4\/21*q - 2\/7*q**c + 2\/7*q**4 + 2\/21*q**3 + 0 + 2\/21*q**5 = 0. Calculate q.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 6) to base 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4 + 8*i**3 - 32*i**2 - 32*i + 96 = 0. What is i?\nAnswer: -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + sqrt(288)*-1 + sqrt(288))\/sqrt(6) + -1.\nAnswer: -1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24, -125, -300, -549?\n\"Answer: -37*k**2 + 10*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 613.1508s to nanoseconds.\nAnswer: 613150800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -69, 5 in descending order.\nAnswer: 5, -14, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**4\/12 + 5*z**3\/6 + z**2\/2 + 3*z. Let h be l(-5). Let y be (-2)\/6 + h\/12. Is 1 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -801, -1642, -3099, -5172, -7861, -11166, -15087?\n\"Answer: -308*g**2 + 83*g - 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 188955.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**3\/3 - f**2 - 12*f - 3. Let k be o(-3). Find the second derivative of 0*b**k + b**3 - 24*b**3 - 7*b wrt b.\nAnswer: -138*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 5134379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y + 4 - 5*y + 10*y. Is k(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-16 - -19) + (6 - -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -5\/7 (c) 4 (d) 10\/7 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 23*v - 79. Calculate t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5417, 3\/5, -1.06 in descending order.\nAnswer: 5417, 3\/5, -1.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(21 + -2) - 84\/(-12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4*(-7)\/(-140)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - -8. Suppose 3*d = -20 + 23. Let s be (9\/4 + d)\/((-1)\/(-8)). What is the highest common divisor of c and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (11 + (-4 - 6) + 5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*j = -0*q - 20, -3*q + 3*j = 12. Suppose -4*d - 72 + 24 = q. What is the units digit of -3 + 1 - (2 + d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3 - 4*r + 1 + 7*r**2 + 0*r**2. Let w be h(3). What is the common denominator of 0 - 0 - w\/3 and 97\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 374314093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-1) + (-22178)\/(-30646) + 18\/66. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 + 144*i**2 - 352*i + 4*i**3 - 12*i**3 + 125174 - 124918.\nAnswer: -4*(i - 2)**3*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 24 - 63 + 4*n.\nAnswer: 4*n - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.238, 3\/14, 2\/7?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 0. Let r(p) = 5*p**2 - 4*p - 2. Let x(u) = -3 - 7*u**2 + 7 - 2*u**2 - 5*u + 12*u. Give n*x(z) - 11*r(z).\nAnswer: -z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 + 0.1. Let p be ((-2)\/(-5))\/((-3)\/(-270)*-3). Let q be (-3 - (-1028)\/308) + p\/28. Put u, 0, q in decreasing order.\nAnswer: u, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1))**(12\/7)*c\/c**(-6)*(c*c\/(c\/c**(-1\/12))*c)\/c assuming c is positive.\nAnswer: c**(953\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-4)*(-1)\/(-2). Let m be (o\/5)\/(5\/(-150)). Suppose f - m = 17. What is the remainder when f is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, b: 12}. Give prob of picking 1 t and 2 b.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -178, -267?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**4 - 7714679*l**3 + 116228174*l wrt l?\nAnswer: -36*l**2 - 46288074*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 - 38 + 4*n - 34 - 32.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/22 and 4 + (2 - (-163)\/(-20)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*m**3 + 215*m**2.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, q: 3, w: 1, o: 3, c: 1, v: 1}. Give prob of sequence ss.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = p - 4*f, -p + 33*f - 36*f = -50. What is the greatest common factor of 1130 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 14*n**2 - 7*n**2 - 14 in the form y*n**2 + t + v*n and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from {o: 1, y: 1, x: 2, i: 1, w: 1, g: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*x + 35 = 0. Suppose -4*t = -3*h + x*h + 14, 0 = 5*t + 10. Let w = 944 + -949. Sort w, 4, h in decreasing order.\nAnswer: 4, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100101010111011001000001 + 10?\nAnswer: 10110100101010111011001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -206.2955.\nAnswer: -103.14775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 14*d + 8. What is k(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -r - 36, 4*r + 5*y + 36 = 3*r. Calculate the common denominator of -31 + (-3975)\/132*-1 and 2\/3 + (-106)\/r.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -424 + 584. Suppose 91*u + 600 = 97*u. What is the greatest common factor of u and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of (21\/(-6))\/(4\/(-1056))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/5, -6, 1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 + 202*h - 77. Let m be r(40). Which is the nearest to -2? (a) m (b) 1 (c) -1\/6 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1204 is divided by 85?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00225955 rounded to 4 dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**4\/24 - 2*y**3\/3 + 7*y**2\/2 - y - 3. Let z(u) be the second derivative of k(u). Determine z(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1. Let w be (-80)\/(-4) + 3 + 1 + 0. Suppose w*u - 21*u = 6. Put x, 0.4, u in decreasing order.\nAnswer: u, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l + 25 = 0. Let j(b) = b**2 - 7*b + 9. Let t be j(l). What are the prime factors of (19 + 2 + t)\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in seconds?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 124, 429, 1022, 1999, 3456, 5489, 8194?\nAnswer: 11667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + 81 + (-100 - 2 - -13).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24579705, -49159416, -73739127, -98318838?\nAnswer: -122898549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*v - 7. Let k(z) = 2*z + 1 + v - 1. Let j(c) = c + 4. Let a(h) = -4*j(h) + 3*k(h). Give a(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*c + 17 = -t, -3*t - 13 = c. Put 3, t, 2, 0 in descending order.\nAnswer: 3, 2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*b + 6. Suppose 0 = -3*n - 2*v - 678, -5*v + 6 + 9 = 0. Calculate the common denominator of (b\/(-96))\/(2\/n) and -59\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g - 5. Determine k(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.508464 millilitres to litres.\nAnswer: 0.002508464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**2 - 2*v. Let b be 10\/4*(-18)\/(-5). Let h = 11 - b. Suppose -h*z + 4*z - 2*k = -4, 8 = -4*k. Let g(a) = 9*a**2 + 4*a. Calculate z*g(c) - 7*y(c).\nAnswer: -c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 10 = 5*r. Solve -r*j - 4*p = j - 7, 0 = -2*p + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -47.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 76415.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atqd when four letters picked without replacement from qdaqladadstll.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 10 + -2 - (4 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(4) + (sqrt(4) + (sqrt(64) - sqrt(4)))*2) + 2.\nAnswer: sqrt(19)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -905 + 908. Calculate the remainder when 141 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1324*i**3 + 27*i**2 + 2*i + 9. Let g(t) = -2648*t**3 + 51*t**2 + 3*t + 19. Let j(p) = 6*g(p) - 11*u(p). Find the third derivative of j(a) wrt a.\nAnswer: -7944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/930 and -7\/620.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 24296.556 months?\nAnswer: 20.24713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 21. What is the units digit of c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + ((sqrt(121) + sqrt(121) + (sqrt(121)*-1 - sqrt(121) - sqrt(121)) + sqrt(121))*1)\/((sqrt(220)\/sqrt(5))\/sqrt(4))))**2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -29. Let r be n\/((-1 - -4)\/3). Suppose -5*j = 3*i - 31, r*j + j = i + 43. Solve 5 = -j*f + 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 + 9*m**2 + 17*m + 1. Let k be y(-9). Let j = 36142\/41 + k. Let v = 12\/179 - 4583\/1611. Calculate the common denominator of j and v.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000658496 to 6 dps.\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*1 + 140\/(-7). Let z be 19\/(-36) - w\/24. Which is the closest to -1? (a) 2 (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -208.7995743 to 1 dp.\nAnswer: -208.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-96)*(-16)\/(-40)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v**4\/13 - 2030*v**3\/13 - 1966*v**2\/13 + 2030*v\/13 + 1998\/13 = 0. What is v?\nAnswer: -999\/16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 7*k**2 - 7*k - 2. Determine b(7).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/13, -0.4, -3\/11, -2\/11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5342734, -5342731, -5342726, -5342719, -5342710, -5342699, -5342686?\n\"Answer: s**2 - 5342735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (2 + 7 + -3). Let d be (-35)\/(-15) + 2\/g. Factor -8\/7 - 8\/7*l - 2\/7*l**d.\nAnswer: -2*(l + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + -1 + (sqrt(5) + 0)*2.\nAnswer: -1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -418 - -414. Sort 0, p, 5, -77 in decreasing order.\nAnswer: 5, 0, p, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15082 divided by -38.\nAnswer: 7541\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61583230519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -2*f + m - 9, 15 = 5*f + 4*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggngggngggggg. Give prob of picking 2 n and 1 g.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1936, 3848, 5760, 7672, 9584?\n\"Answer: 1912*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-119)\/272*-4)\/(2\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 43*t**6\/120 - 2*t**5\/3 - 31*t**2 + 96*t. Let q(d) be the first derivative of y(d). Find the third derivative of q(h) wrt h.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -3632.\nAnswer: -18160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 3*w**2 - 11*w - 1. Calculate o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -408 in -3, 25\/7, 0.05?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from heshzhhochh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 3*o - 60, -18*o + 9*o - 99 = -114*a - 6*o - 39 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/20227456 or 0?\nAnswer: 9\/20227456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 88 + 118 = 0, 4*j + 2*l = 2572. What is the greatest common divisor of j and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 19*k + 48. Determine i(-19).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -372*p + 752*p + 15 - 379*p. Calculate w(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 5)*(642*q + 139*q - 199*q) - 2*q + 2*q + 1 - 2*q.\nAnswer: 4654*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, -2, -20, -54, -110, -194, -312, -470?\n\"Answer: -t**3 + t**2 - 4*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2967 and 2.\nAnswer: 5934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51005, -58716, -71565, -89552, -112677, -140940, -174341?\nAnswer: -212880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s**3 - 2*s**2 - 2*s - 1. Suppose -3 = 4*p + 1. Let q = p + 8. Suppose -4 = -q*f + 11*f. Give k(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12e90 - -35?\nAnswer: 12ec5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 59.8495 nanometers?\nAnswer: 0.0000000000598495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -22. Let o(q) = q**2 - 2*q - 26. Let x be o(a). Let d be 105\/x - (-2)\/6. Solve 4*g - 4 - d = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1089188, 2178378, 3267568, 4356758?\n\"Answer: 1089190*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-19 - 5 - -5) - (1558 - 1592).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 625925 and 45.\nAnswer: 5633325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*19*(-279)\/9424*8\/474.\nAnswer: -3\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 7:18 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 13 - 5. Let c(f) = 517 + 497 - 1536 + 520 - 9*f. Calculate c(z).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*n**5 + 37*n**3 + 55*n**2 + 3*n - 1.\nAnswer: 4140*n**2 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -699, -2208, -4525, -7644, -11559, -16264, -21753?\n\"Answer: d**3 - 410*d**2 - 286*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + 1248. Does 63 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -13) + -2 - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-62 - -6) - (-17 + 42 + -8).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8445.3450094 - 8443.545. Let o = -1.8 + j. What is o rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10*((-4)\/2)\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 3*v + 4. Let p(d) = 2*d + 36 + 4*d + 5*d - 9*d. Let h be p(-15). Determine q(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6 = -v. Suppose -4*m - 4*x + 48 = -x, 0 = -3*m - v*x + 35. Is m*15 + (-12)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**3*s**3 - 49780*f**3*s**2 + 35646924*f*s**3 - 161*f*s**2 wrt s?\nAnswer: -12*f**3 + 213881544*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7*(6 - 152)*(-1 + 2). What is the highest common factor of 219 and j?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 12) + 0 + -1 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 7*n + 25. Let i(p) = p**3 + 8*p**2 - 2*p + 7. Is 2 a factor of i(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 4*g - 1. Let l be k(3). Suppose 2*h = 5*x + 37, -2*x + 3*h = -2*h + 40. Put l, x, 12 in decreasing order.\nAnswer: 12, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/7 (b) 2 (c) 345\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.2 + -21. Let q = l - 46.2. Let v = q + 53.99999832. Round v to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2 - (-21 - (-63 + 43)) - 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j*j**(1\/2)*j)**(-2\/3)\/(j**(-1)*j*j**(1\/5)\/j*j) assuming j is positive.\nAnswer: j**(-58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-10))\/((-3)\/(-10)). Let y(o) be the first derivative of o**2\/2 + 3*o + 3. Let w be y(x). What is the greatest common divisor of w and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1181*g**2 + 1191*g**2 - 3*g - g.\nAnswer: 10*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3167*p**2 + 13*p**3 - 3164*p**2 + 9497*p**2 - 3166*p**2.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 0.02349.\nAnswer: 0.21141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8*m = -4*k + 4, -2*k + 4*m = -14. Find the common denominator of 2 + k\/96*-206 and 71\/(3\/(-3)*-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 990 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4 + 0 + 4 - 4*i**2. Let b(o) = 21*o**2 - 10*o**2 - 20*o**2. Give b(p(r)).\nAnswer: -144*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2073, -375.\nAnswer: -375, 4, 2073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 1 + w - 2*w)*(7 + 2 + 3)*(2 - 60 - 112).\nAnswer: 6120*w - 2040","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -673830 divided by 90\nAnswer: -7487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 + (-3 - 1))*1. Let u = 21 + w. Suppose 2*q = -3*q + u*b + 175, -3*b - 135 = -4*q. What is the greatest common factor of 15 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 - 3*t**2 - 2*t + 2. Let s(h) = -h**3 + h**2 + h. What is -3*s(q) - y(q)?\nAnswer: 5*q**3 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9*z - 18*z - 15*z**2 + 0*z**2 + 15*z**2 + 93 + 2*z**2. Calculate n(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5 = -z, 5*z + 9 = -h + 34. Suppose w - 3 = 0, 2*c - 30 = c - z*w. Solve 3*d - c = 6*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209833 + 13.27\nAnswer: -209819.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 678*d - 133*d + d**2 + 6*d**3 - 110*d as r + q*d**3 + b*d**2 + v*d and give v.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/17, 2567, 0.2, 3 in ascending order.\nAnswer: -2\/17, 0.2, 0.5, 3, 2567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21477 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8\/25 of a micrometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 11*k + 6. Let w be g(-11). What is the second derivative of -17*x**4 - 5*x + w*x**4 + 6*x**4 wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 26450656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**2 - 199840*t - 2198724 = 0.\nAnswer: -11, 49971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 3\/2*q**2 - 1 + 4*q. What is u(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 27*v + 18 + 246 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11*9\/(-99)*(-8)\/(-1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f - 14. Let z(l) = 36*l**2. Determine j(z(w)).\nAnswer: -396*w**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*t + 10 = 5*w, -4*w + 3*t + 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-14) + (-592)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5966776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385693197?\nAnswer: 3, 8363, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 57*-0.5\nAnswer: -28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from {z: 3, o: 4, c: 1, r: 11}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h**3 - 9*h**2 - 9*h - 19. Let t(z) = -3*z**3 - 4*z**2 - 4*z - 9. Let s be -13 - (3 + -11) - (-156)\/(-2). Let y = 92 + s. What is y*t(g) - 4*o(g)?\nAnswer: g**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -210, -425, -650, -891, -1154?\n\"Answer: -n**3 + n**2 - 211*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(76) + 2*sqrt(76)) - -5*(sqrt(76) - sqrt(76)*-1))\/(1*sqrt(484) + -2*sqrt(4)*1).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 38 - 2*y + 40 in the form n*y + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2358.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -321435\/3944 + -1\/3944. Let j = x + 5713\/70. What is the common denominator of -79\/56 and j?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5542 - -13183. Calculate the highest common factor of c and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-38) - (-4 + 4). Let t = 191\/76 + y. What is the common denominator of 35\/12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 8*i - 12*i + 8, 3*q = -3*i + 15. Factor 1\/12*f**i - 7\/12*f**2 + 4\/3*f - 1.\nAnswer: (f - 3)*(f - 2)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8341645 litres in millilitres?\nAnswer: 834.1645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 23 = 5*c - 5*i, 2*i + 14 = 4*c. Suppose 5*x = 10, -s + c*x = -0*s - 189. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*j + 62. Let n = j + 22. Let v be 3 - n\/(-18) - 3. What is the closest to 3 in 2\/3, 0.3, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*m - 2*i + 38 = 91*m, -14 = -i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10863 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 closest to -0.1 in 2\/13, -130, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 x, and 1 o when three letters picked without replacement from qoiiioiixcixqqoikcx?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 85518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 369 in -1, -2, 0.004?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**6 + 591*m**4 - 37*m**2 + 4*m.\nAnswer: -360*m**3 + 14184*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 c, and 2 w when four letters picked without replacement from nccchgwcw.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3)*(-24)\/4. Differentiate z - z - 5*z**r - 4 wrt z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -986*j**2 - 263 + 130 + 133 - 941*j**2 as n*j + c + h*j**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 4*c**2 + 7*c - 5. Suppose 27 = -5*o - t, 5*o = -2*t - 17 - 7. Let r be y(o). Let d = -6 + 8. Solve 0 = -2*u + 5*s - r, 0*s - d = u + s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116357973*p**5 + 52388429*p**2 wrt p.\nAnswer: 6981478380*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -277*j**2 + 624*j**2 - 294*j**2 to m*j + b + f*j**2 and give f.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 5 = 75. Suppose 60 - 65 = g*j. Let q(m) = -2*m - 1. Calculate q(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13+-5699\nAnswer: -5686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -118, -192, -284, -400, -546?\nAnswer: -728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -40380 >= -2099753\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 510 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 7591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/7 - 620*z\/7 + 19800\/7.\nAnswer: 4*(z - 110)*(z - 45)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 10*d - 2. Give v(5).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**7\/35 + 5*i**5\/12 - 73*i**3\/6 + 240*i**2. Find the first derivative of s(t) wrt t.\nAnswer: -24*t**3 + 50*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*t**3 + 2*t**2 + 85*t - 2?\nAnswer: -696*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 y when three letters picked without replacement from gjcggggjggggjyywwgg?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 1. Let w be g(-5). Let n(d) = 2*d + 3. Let h be n(w). Let r = 2.79 - 0.79. Which is the third smallest value? (a) -0.08 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*a + 17*a - 848 = -122*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1))**(-45)*j**(-1)*j*j*j*(j*j**(1\/4)*j)\/j*j*(j**(1\/3))**(-3\/7)*(j**(-2\/11)*j)\/j**5 assuming j is positive.\nAnswer: j**(-27743\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1\/6 (c) 118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01197523 rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*q**2*s + 189191*q**2 - 253*q*s - 42*s wrt s?\nAnswer: -5*q**2 - 253*q - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(2 + 7) + (-6460)\/114. Let r be (19\/d)\/(3\/(-36)). Sort -5, r, -1\/2.\nAnswer: -5, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 11*h**2 + 1184*h + 7119. What is a(-6)?\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1.3, 10, 2\/21, -17, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 0*w**2 + 6*w - 1\/21*w**4 - 2\/21*w**3 + 0. Let z(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (1 - 31) + 2. Let b = j - -68. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 22*h + 1. Let z(s) = 3*s**2 - 1. Let y be z(-1). Suppose y = 2*o - 0. Is r(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4992 is divided by 333.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z. Let q(p) = -1000195*p. Determine q(d(o)).\nAnswer: -2000390*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -43. Suppose 8*x + 16 = 4*x, r = -4*a + 5*x + 120. Let z = -17 + a. Is 10 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51042 (base 8) in base 9?\nAnswer: -31752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*x, -4*x + 2 = -2*d - 2. Let p(k) = k**2 - 3 - 4*k + x*k + 5*k. Is p(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1825985.\nAnswer: 5, 7, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glx when three letters picked without replacement from {l: 5, x: 1, g: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(351)*2 - (sqrt(234)\/(-2*sqrt(6)) + sqrt(39) + sqrt(39))))\/(sqrt(300)*1*1 + sqrt(300)*-2*-5).\nAnswer: -27*sqrt(13)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34951 + 35042. Solve 58 = -h*b + 331 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 36 = -4*o, -3*n = -o - 0*o - 3 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9411682\/55 - -171126. Let p = -54\/11 + r. Suppose -3*w = 2*w + 35. Put w, -0.5, p in ascending order.\nAnswer: w, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57024*x = -57212*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*w + 170 = -108*w + 219*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 0*k + 4*k - 5*k. Let p(y) = 4*y + 3. Suppose -z + 0 = -6. Let f(h) = 7*h + 5. Let b(a) = z*f(a) - 10*p(a). Calculate o(b(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -129, -127, -123?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w + 2. Let a(f) = -9*f**2 + 1 + f + f**2 + 7*f**2. Let t(c) = 4*a(c) - h(c). Factor t(g).\nAnswer: -2*(g + 1)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -570420, -2281716, -5133876, -9126900, -14260788, -20535540, -27951156?\n\"Answer: -570432*g**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 2*v - 8. Calculate the remainder when 63 is divided by q(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**2 + 3*s**3 + 0*s**3 - 4*s**3 + 4*s**3 - 10*s**2.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*g**3*s + 2*g**2*s + g**2 - 504*s wrt g?\nAnswer: 39*g**2*s + 4*g*s + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52858960 by -112.\nAnswer: 471955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((2 - 5) + -10 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*n + 1893, -4*y = -5*y - 4*n + 1909. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1*sqrt(256) + sqrt(256))*-2)\/(sqrt(512) + sqrt(512) + (-2*(sqrt(512) + sqrt(512) + 2*sqrt(512)) - sqrt(512))) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*m**4 + 293475*m**2 - 3848118?\nAnswer: 16*m**3 + 586950*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3434634 is divided by 1717258?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1736 divided by -434\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 7, 24, 43?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -36*u - 147. Let h(s) = 10*s - 4. Determine 6*h(z) + q(z).\nAnswer: 24*z - 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -439, -899, -1359, -1819, -2279, -2739?\nAnswer: -3199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72015 is divided by 17648.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -39 + 43 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -405.6 to the nearest ten.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1143 - 19. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 11 = -2*j - 3, -23*g + 6 = -20*g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 12*p**2 + 1228. Let z(t) be the second derivative of -t**3\/6 - t. Determine x(z(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-8)*-2 + 4. Suppose -4*w - 6*y + f = -y, 3*w - 5*y = 30. Suppose 368 + 342 = w*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 161788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20096559 divided by 318993?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddbdddddddddddbddb. Give prob of picking 2 b and 1 d.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 0*t - 3*r + 2819, 0 = -4*t + r + 2799. Let k = t - 192. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27552048 and 12732?\nAnswer: 27552048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 4. Let b(l) = l + 3. Let t = 53 + -45. Let c be 5\/20 - 42\/t. What is c*b(s) - 4*k(s)?\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)\/((sqrt(2) + (sqrt(2) - sqrt(8) - sqrt(2)) + sqrt(2))*6 - sqrt(2)))**2 + (sqrt(22) + sqrt(352))\/sqrt(2) + -5)*2.\nAnswer: 12 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244 (base 15) to base 2.\nAnswer: 1000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -512*y**2 - 10620224*y - 55072830962 = 0.\nAnswer: -165941\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 3, h: 8, q: 2, s: 1, v: 4}. Give prob of sequence hb.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*u**4 - 12*u**4 - 41 - 43*u**4 + 11*u**4 wrt u.\nAnswer: -216*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 7*a**2 - 6*a + 7. Suppose -448*b = 7173 - 28688 - 34037. Calculate the remainder when b is divided by v(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {z: 5, h: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1028280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 11. Let o = t - 5. Is o\/4 - 60\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 42*t**2 + 77*t - 552. Let i(m) = -m - 1. Give 154*i(f) + 2*q(f).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.90071 milligrams in nanograms?\nAnswer: 24900710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 4*p**2 - 5*p**2 + (-4*p - p - 8*p)*(1 - 1 - 2*p) - 2 + 2*p**2 + 2.\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481*t + 9 = -478*t. Let o = -0.2 + 0.1. Which is the third biggest value? (a) t (b) o (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2133201 (base 5) to base 8\nAnswer: -107504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 32 = -27 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**3 - 4*w**3 + 3*w**3 + (-6*w**3 + 12*w**3 - w**3)*(25 - 20 + 22) as q + n*w**2 + s*w**3 + f*w and give s.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 4. Let t = -73 + 63. Let d be (-2 - 35\/t)*-2. Determine m(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 8*w**2 + 5*w - 9. What is r(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 13*u. Let l(j) = j**2 - 6*j. Suppose -89*b + 83*b + 36 = 0. Determine b*v(t) - 13*l(t).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/1*(-9)\/((-7290)\/(-5913)).\nAnswer: 73\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -24*w - 12. Let q(n) = n + 1. Let h(t) = -6*q(t) - z(t). Calculate the remainder when h(2) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.6896 and 0.273.\nAnswer: -0.7342608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4923.358 millimeters in meters?\nAnswer: 4.923358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*l - 23*l + 621. What is the remainder when 226 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3.38102nm?\nAnswer: 0.00338102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 15*h - 17*h. Suppose h*a - 221 = -o, a - 29 = -3*o + 4. What is the remainder when a is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxixi. Give prob of picking 2 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1227, 2444, 3663, 4884, 6107, 7332, 8559?\n\"Answer: l**2 + 1214*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = r + 2 + 2, 8*c + 8 = -c - 3*r + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -426, -425, -424, -423, -422?\n\"Answer: n - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 580161303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.04 (c) 296\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 2*v**2 + 5*v**2 - 30.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-112)\/12*-303 - (6 + -3). Let b = -33 - -36. Suppose -4*v - 952 = -b*q + s, 2*q = v + 2518. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 11:23 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -2\/7 (c) 10.32 (d) -0.04 (e) 2 (f) -5 (g) -54\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 135*s - 74637317996 - 17261232004. Round s to the nearest 1000000.\nAnswer: 681000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-24) - (-22)\/12. Suppose 5*d = -2*k + 4 + 9, -3*d + 7 = w*k. Solve 4*p = d*f - 21, 4*p - 2*f + 16 = -2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -34. Does 25 divide 20 - p - (-242)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 4*o + 11. Let a be k(4). Solve 0 = -2*h - q + 12, a = 5*q - 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418000 less than 113199?\nAnswer: -1304801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/15381 and -20\/18799.\nAnswer: 169191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*t - 147 - 183, -t = -4*j + 60. Let i = t + 93. Suppose 7*s + 31 = 115. Solve -5*f + i = -s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847080219.\nAnswer: 3, 7079, 39887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5664 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.51845155 and 4059.984.\nAnswer: 4061.50245155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 441812370 and 2270.\nAnswer: 441812370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/32 and -101\/374378.\nAnswer: 5990048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64615\/7 + 9231. Let f = 0.2 + -0.4. Which is the smallest value? (a) f (b) g (c) -3\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1367 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 1:20 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73945, -73928, -73911, -73894, -73877?\nAnswer: -73860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 11 + 1 = 0. Suppose n*w = 6 - 6. Let c(d) = 3*d**2 + 3*d + 19. Let m(g) = -5*g**2 - 5*g - 29. Let u(k) = 8*c(k) + 5*m(k). Give u(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 0\/(5*6\/15). Suppose j = -5*q, 3*f + 4*q = q + 9. Let s(h) = -h**2 + 3*h + 2. Calculate s(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375934 = -29*w - 187*w - 33358. Calculate the least common multiple of 2 and w.\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54.2 - -54.1. Which is the nearest to z? (a) 5 (b) -0.5 (c) -10 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 906390 to the nearest one thousand.\nAnswer: 906000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0239 + 1.0239. Sort -9, -3\/4, -4\/9, u in ascending order.\nAnswer: -9, -3\/4, -4\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*f + f - 13984. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 - 484*f**2 + 3*f**3 - 28 - 112*f**2 + 27 to the form r + z*f + a*f**2 + c*f**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020027 to 6 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + 58. Suppose -z*x + 5*r + 29 = 0, -5 = -4*r + 9*r. Suppose -x*b + 809 = -43. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -18. Let u be (-34)\/(-10) + f\/35. Let -2\/9*y**3 - 2\/9*y**u + 2\/9*y**2 + 0 + 2\/9*y = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 63 + 59. Find the third derivative of 2*v - 4*v + 17 + 130*v**4 + v**2 + 2*v + 3*v**s wrt v.\nAnswer: 3120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 835121*t**6 - 87463*t**2 wrt t.\nAnswer: 100214520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 168247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 2)\/(6\/(-1533)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307228571 to the power of 1\/2, to the nearest integer?\nAnswer: 17528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -175, -1109, -3377, -7645, -14579, -24845, -39109?\n\"Answer: -111*h**3 - h**2 - 154*h + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 5:16 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1) + -1 + 5. Suppose -z - 78 = -n*z. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 - 69 = -17*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*i, 5*h + 31 = 4*i + 158. What is the thousands digit of (-1 + -20)*(-1341)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3947*s - 4130*s - 3)*(-2*s**4 - 5*s**2 + 5*s**2).\nAnswer: 366*s**5 + 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 446*x**2 + 3 + 445*x**2 + x + 9*x**3 - 7 as z*x**2 + i*x**3 + p*x + f and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 60. Let v(m) = 1. Suppose -g + 8 = -0. Let h(t) = -g - t + 3 + 0. Calculate w*v(x) + h(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 823223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in centimeters?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -2, -5, 150 in decreasing order.\nAnswer: 150, 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.1 + -1. Let s = 34 - 32.7. Let n = s - y. What is the biggest value in 9, n, -2\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(720) - 4*sqrt(720) - sqrt(720) - sqrt(720)))**2 + sqrt(7260)\/sqrt(3))*2*-1.\nAnswer: -36008 - 524*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -149, 4, 0.0588, 0.3, -0.4 in descending order.\nAnswer: 4, 0.3, 0.0588, -0.4, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-905)\/(-11) + 84\/616*-2 + 0\/(-2).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*g = 55*g - 32. Solve 4 = 4*s - g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 1232440?\nAnswer: 1232440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11583, 23165, 34747, 46329?\n\"Answer: 11582*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100111 - -1001110101001110?\nAnswer: 1001111010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 6207*u - 2099754.\nAnswer: -3*(u - 1643)*(u - 426)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -62*v + 1358. What is the remainder when 1199 is divided by m(17)?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5 - 15. Let z(u) = -3*u**2 + 86*u + 33. Let b be z(28). What is the common denominator of 90\/(-36)*b*(-2)\/d and 47\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 135162958?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 121*d - 18065. Give l(-207).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 - 8*k**2 + k + 11. Give s(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/90*5*6. Let z(c) = c - 1. Let u(w) = -5*w - 5. Let q(k) = s*u(k) + 2*z(k). Give q(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 8. Let t be j(-6). Suppose 727 = -8*h - 825. Let g = h + 306. What is the highest common factor of t and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102196 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10779*w + 5736*w + 5087*w.\nAnswer: 44*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -304, 0, -0.5, -10999 in descending order.\nAnswer: 0, -1\/3, -0.5, -304, -10999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 22 = -18. Solve -2*o - u = 5*f + 4, 5*o + 2*f = -15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-7 + (4 - -1) + 2 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*4*6 + -4 + -1*sqrt(19) - ((2 + sqrt(76))*6 + 2)**2.\nAnswer: -2936 - 313*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*d + 32*d - 10192. List the prime factors of d.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12434 - 47*s**3 - 12434 + 0*s + 0*s.\nAnswer: -47*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.4 smaller than 10\/259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuuwuquwwvvuwwaw. What is prob of sequence va?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 22 + 12 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -0.11, 2\/17, -3\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 36*b = -5*n - 283741, -2*n = -10. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + 24\/14 - (-2576)\/98 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446985430 divided by 89397086.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m - 8. Let j(o) be the second derivative of -o**3\/6 + 3*o**2\/2 + 125*o - 1. Determine 11*j(t) + 4*n(t).\nAnswer: 5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - 0.45. Let c = 1.4 + m. Put c, -3, 0.3 in increasing order.\nAnswer: -3, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 12. Let w be u(9). Let n be w\/(-6) + 5\/54*-3. What is the nearest to n in -0.5, -5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 1. Let z(q) = -q - 2. What is 3*x(y) - z(y)?\nAnswer: -2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101001011 + -1100111?\nAnswer: -1110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 146686 and 2.\nAnswer: 146686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*y + 62*y + 13*y**2 - 3*y**2 in the form s*y + o*y**2 + z and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.29999918 - -0.3. Round a to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 148 = -149, -5*f = -5*m + 5450. List the prime factors of m.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 25*s**4\/4 - 16*s - 58. What is the first derivative of g(a) wrt a?\nAnswer: 75*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6756376 millilitres to litres.\nAnswer: 0.0006756376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146804 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + (-11)\/(-3))*177\/2. Let m = -34 - n. What is the greatest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 0.4 (c) 2\/3 (d) 2 (e) 84138\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -9. Suppose 0 = i*r - r - 560. What is the highest common factor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.2 - 1.5?\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 9:47 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5960 (base 16) in base 9?\nAnswer: 34342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(6)*-1)*-2.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**3 + 10*p**2 + 1360*p + 5501. Determine r(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 37*s**5\/20 - 47*s**4\/12 - s**3\/3 - 6*s. Find the third derivative of g(w) wrt w.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 - -2. Let i = -155141\/3 - -51713. Sort i, -0.4, j, -13.\nAnswer: -13, i, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47102*b*r**4*z**2 + 6*b*r*z**3 - 40*b*z**3 + 66*b*z**2 - 4*b*z + z wrt r.\nAnswer: 188408*b*r**3*z**2 + 6*b*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -271*u**3 + 10*u**2 + 42*u - 19. Is f(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4065821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 4*n**2 - 6*n - 5. Let t be b(-5). Suppose 469 = -t*f + f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*n - 0*n - 17, -4*n = 8. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-29)))**(-41))**(-12\/5) assuming x is positive.\nAnswer: x**(14268\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.14 (c) -255.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2649, -3395, -4139, -4875, -5597, -6299, -6975, -7619?\n\"Answer: w**3 - 5*w**2 - 738*w - 1907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -136 + 141. Suppose 5*t - h - 4*h = 10, 0 = t - 3*h + 4. Solve u*n + 5*v = 0, 4*v = 3*n + t + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-22)*(-75)\/(-30).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40803299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*l, 36*l - 26*l + 31 = h + 4*l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/13, 0.3, 6?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 7166 = 3*b + 7154, 38 = -4*h + 5*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*3 - sqrt(68))*4)\/(sqrt(4) + sqrt(100) + (sqrt(100) - sqrt(100)*2) + sqrt(100)).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*j**2*x**2 + 12*j*x**2 + j*x - 4*x**2 + 269*x wrt j.\nAnswer: -14*j*x**2 + 12*x**2 + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 16, x: 4}. What is prob of sequence zx?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -519 - -522. Solve h = -h + x*n + 6, h = -5*n + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426981117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1345775\/128 - -10514. Calculate the common denominator of 49\/80 and o.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 10*r**2 - 10*r + 12. Let x be t(11). Suppose m + 0*m = 4*d - x, -d - 3*m = -9. Solve 0 = 3*q - q + d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8410 is divided by 2642.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 1\/45108889 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 63?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*j + 1429*j = 5055 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 x, and 2 a when four letters picked without replacement from {x: 2, v: 1, r: 1, a: 1, t: 2, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7 = 3. Suppose -v - 30 = -c*a, -2*a = -a - 3*v - 20. Let z = 12 - a. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24348082 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2 - -2) + -6 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.2 - 6.29. Is b bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c + 2*v - 115, c + 2*v = 31. Suppose -c*w = w - 14476. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26775\/405 - 1152\/(-1296).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/11))**(-2\/13) assuming z is positive.\nAnswer: z**(-12\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**5\/20 + y**4\/4 - y**3\/2 + y**2\/2 - 31*y. Let m(u) = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 13391256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83310 - 83298. Suppose 0 = -2*x + v + v + 8, 2*v = -4*x + 4. Solve x*o + o = n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(3\/8)*v**(2\/33))\/((v\/(v*v*v*v**(-13)*v*v*v))\/v**7) assuming v is positive.\nAnswer: v**(-83\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -3 in decreasing order.\nAnswer: 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -311\/5. Which is the fourth smallest value? (a) -0.03 (b) 2\/19 (c) x (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 20. Suppose -k*c + 591 = -89. What is the remainder when c is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 25. Suppose 4*b - 10 = 2*c + 30, -4*c - 76 = -4*b. Let x be g(c). Solve 4*a + x = -5*w, 2*a + 1 = 7*a + 3*w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 233241300 to the nearest 1000000.\nAnswer: 233000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + -56 - ((-4 - -9) + -2 - -8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = -221 + 1148. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5*q - 5 = 0, w + 3*q = -q - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1062954 and 885795?\nAnswer: 5314770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2. Let n(t) = 783*t**2. What is n(a(b))?\nAnswer: 783*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 43*j**3 + 11*j - 14 - 8.\nAnswer: -43*j**3 + 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23214097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 19 + 25 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (1 - 8 - (-1110 + 1064)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1269 - -10177\/8. What is the common denominator of -19\/3 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2. Let j be 1 - -2*2\/4. Let s(i) = -i**3 + 2*i**2 + i. Let a be s(j). Let f(m) = 3*m + 0*m - a*m. Calculate f(g(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 906 = 24*i + 378. What is the remainder when 240 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-256)\/48*(-75)\/1400\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -418.8518 * 2.6\nAnswer: -1089.01468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r + 2. Let f be x(4). Let h be 6\/(-4)*(-220)\/f. Suppose -h*u + 36 = -8*u. Calculate the highest common divisor of u and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4 + (sqrt(448)*-4 - sqrt(448)) + -3 + sqrt(448) - 5*1*(5*sqrt(448) - sqrt(448)))**2.\nAnswer: -384*sqrt(7) + 258046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -22. Let s = m - -33. Solve u + 7 = -0*j - 4*j, -3*j - 4*u = -s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5313 + 1375 = 16*v. What is the greatest common factor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 12:49 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o - 2. Let v be s(2). Let d = v - -18. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.95 + 0.05. Suppose 4*k + 14 = -2*a, -a + 13 = -5*a - 5*k. Suppose -a*s + u = 4 + 1, -u + 5 = 4*s. Is g greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3212.343us to milliseconds.\nAnswer: 3.212343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/17 (b) 0.5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 34*q - 52. Let f(h) = -225*h + 365. Let n(c) = -3*f(c) - 20*p(c). What is n(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 6*a**2 + 5*a - 4. Let y be ((-12)\/(-15))\/((-1)\/5). Let t be h(y). Suppose -3*o = -4*o + t. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k*n*v + 88*k*n*z**2 + k*n - 8564296*k*v*z**2 - k*v - 435*k + 31*n*z**2 wrt v?\nAnswer: -2*k*n - 8564296*k*z**2 - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*r - 19, 0*y - 16 = -3*y - 2*r. Factor l**y - 3*l**2 - 3*l**3 + 5*l**2.\nAnswer: -3*l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 35 + 9 - 44.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8*k - 11. Let f(g) = g - 1. Give -5*f(y) + r(y).\nAnswer: 3*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**2 + 6*q - 8. Suppose -23 = t - 27. Let l be v(t). Does 16 divide 162\/12*l\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 619 in 2\/17, -3, -5, 34, -2\/5?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1071486 and 13617946.\nAnswer: 9158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*m**5 - 739785*m**4 + 33733135*m**3 - 62437095*m**2 + 26633350*m + 2810280 = 0.\nAnswer: -2\/23, 1, 44, 6387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 6*u - 8466. Suppose -u = 8*w - 11*w. Suppose -431 - w = -3*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z + 14*z + 11*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 140428 less than 844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) -14 (c) 6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 96, 1093, 3804, 9087, 17800, 30801, 48948, 73099?\n\"Answer: 143*f**3 - f**2 - f - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 19*v - 3629. What is s(191)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-924)\/1694 + 57\/44)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4\/9 - 301190*r**3\/9 + 11337770306*r**2\/9 + 13860989742*r + 12601204020 = 0.\nAnswer: -10, -1, 75303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.93 + -5.7886. What is u rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1932 and 5670?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 95\/3 at least as big as 677.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 360 - 359.9. Let t be ((-1)\/(-30))\/(4\/(-136)). Let i = t - -1. Which is the third smallest value? (a) h (b) -1 (c) -6 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42777525 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: Let h(y) = 4*y. Let v(g) = -g. Let c(b) = -4*b. Let i(j) = -4*c(j) + 18*v(j). Calculate h(i(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -951, -945, -951, -975, -1023, -1101, -1215, -1371?\nAnswer: -1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.1 - -10.68. Let p = j + -1.4. Let t = -2.82 - p. Which is the nearest to 0? (a) t (b) 1 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*q = 6, 4*q - 330 + 345 = -5*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 21. Suppose -4*h + j = 3*d, 2*d + 2*d + 2*h = 28. Solve v - d*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2*t + 2*t + 54, -3*n + 51 = 4*t. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 10*k + 1. Let g(m) = m + 1. Let x(t) = 2*g(t) + h(t). Let w be x(12). Which is the biggest value? (a) 2 (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 5 = 3*f. Let n be 1*(-316)\/(-1)*f. Let i = n - 133. What is i rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**2 - a - 1. What is the lowest common multiple of c(-4) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 2 - 2 + (-5 + 1 + 3)*(-3*d + 4*d + d) + 1 - 2*d - 1 + 2718 - 2718 - 266*d as c*d + k and give c.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-600)\/(-160))\/((-30)\/24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-12) + (-3)\/9. Suppose x - 37 + 14 = i. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -288 - -303. Solve 3*y + t = -0*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3\/4)*w**(-5)\/w)\/(w**4\/(w**(3\/4)*w)) assuming w is positive.\nAnswer: w**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8439, 8438, 8437?\n\"Answer: -u + 8440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 14*j - 16. Suppose -4*d + j*c - 4 = 0, 0 = -0*d + 5*d + 2*c + 5. Sort 5, -3, d, 1 in decreasing order.\nAnswer: 5, 1, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 9*u + 11. Let p = 2 + 7. Let h be g(p). Suppose -6*a + a = 2*s - h, -3*a = -5*s - 19. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -150*c + 174. Determine q(2).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6790180, 13580346, 20370512, 27160678?\n\"Answer: 6790166*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6*g = -12. Let f(u) = u**3 + 2*u**2 - 3*u + 2. Let t be f(g). Solve t*a - 18 = 5*s + 8, 5*a - 15 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 29*l**3 + l**2 - 1. Let t be -2*(-4)\/(-8)*-1. Is f(t) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c**3 - 3*c**2 + c + 4. Determine j(-2).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2*g - 118, 33 = i - 4*g + g. Suppose -5*c + 75 = u, -c + 3*c = -4*u + i. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p + 81. Let j(k) = 3*k - 140. Let x(z) = 4*j(z) + 7*y(z). Let c(f) = 6*f - 22. Determine 4*c(h) + 11*x(h).\nAnswer: 2*h - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-3))\/(20\/6))\/((-81)\/9)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. Let g = 444116 + -9331663\/21. Let p = 249 + g. Does p = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 11:13 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnonbm. What is prob of sequence mmbn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 8*o**4 + 875*o. Let p(b) = -19*b**2. What is d(p(m))?\nAnswer: 34656*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 55, 62, 71, 82, 95, 110?\n\"Answer: f**2 + 4*f + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29308 or -29673?\nAnswer: -29308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(117) + sqrt(117)*1*1)\/((sqrt(576) + -2*sqrt(576) - sqrt(576))*-3) + 3.\nAnswer: 13*sqrt(13)\/48 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m**2 + 1. Let v(j) = 10664*j. Determine v(o(f)).\nAnswer: -95976*f**2 + 10664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 36*h**2 - 201*h + 55. Determine f(-29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 342092255?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.017\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/32 - 6\/(-8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/2147?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 87427767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39625401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/9 (b) 3588 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6)\/s*(s\/s**(-2))\/s)**(1\/4)*(s**0)**(16\/3)*s**3\/s**(-3\/8) assuming s is positive.\nAnswer: s**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -449 + 447. Which is the smallest value? (a) i (b) -0.2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 172.9 + -156. Let k = -15.59 + -0.41. Let z = k + i. Round z to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(1\/9)*(c**0)**(-4))\/((c**0*c*c*c\/c**(-2\/25))\/(c*c**1)**19) assuming c is positive.\nAnswer: c**(7832\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32881 is divided by 8220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**5 - 49*l**4\/3 + 253*l**3\/3 + 3793*l**2\/3 + 1046*l\/3 - 816 = 0?\nAnswer: -17, -8, -1, 2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 2\/29, 10, -0.2, -11, -0.31, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203774 is divided by 1476?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 1 + 1 - 0. Suppose y - 8 = -4*o, o = y + s*o - 5. Let u(h) be the second derivative of -h**5\/20 + h**4\/4 + 2*h**3\/3 - 3*h**2\/2 + h. Determine u(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180 a factor of 951476480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*d - p, 6*p - 3 = d + 2*p. Suppose d*o - 1397 = -6*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3703710 divided by 740742.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(1\/4))\/w**6)\/(w\/(w**(3\/7)\/w)*w*w*w*w*w**(2\/11)))**28)**(-1\/22) assuming w is positive.\nAnswer: w**(3235\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.5 (b) 1.5 (c) -1980 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*f**2 + 1\/3*f - 1\/2.\nAnswer: (f - 1)*(f + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - ((-455)\/(-21))\/(1\/(-12)) is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-8) + (-1)\/(12\/(-3)). What is the units digit of 4\/j + 1 - -167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22990014 is divided by 3581?\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 57\/5 of a millisecond?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 12) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 5. Let q be 2\/((-10)\/5) + 1. What is a(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -34136.84 and 126.62155.\nAnswer: -34010.21845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3391874 to the power of 1\/2, to the nearest integer?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, -62, -216, -440, -740, -1122?\nAnswer: -1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -44, -81, -118, -155?\n\"Answer: -37*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73987 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/3)\/((-2)\/(-105))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*i = 448*i - 112 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*1*(-5)\/4*(-72)\/2430?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -10*h**7\/7 - 2*h**3\/3 + 9. What is the third derivative of c(f) wrt f?\nAnswer: -1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/77*3\/(-30)*7. Which is the nearest to f? (a) 4 (b) -5\/7 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 842 + 4*a**3 + 869 + 2*a**3 - 1794 to the form j*a**2 + y*a**3 + b*a + t and give t.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8637*o**3 + 5682*o**2 + 1.\nAnswer: -51822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfb when three letters picked without replacement from bkbgfbbf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 - -1.01. What is the closest to k in -0.2, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = 2*r - 40, 5*r + 3*j - 125 = 0. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248883, 498638, 748393, 998148, 1247903?\nAnswer: 1497658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.7252 + 1019.6348884?\nAnswer: 1034.3600884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231000223 (base 5) in base 16?\nAnswer: 2d89f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l + l - 3*l)*(-2 + 2 + l) - 2*l**2 + 12*l**2 + 6*l**2)*(4*l**2 - 4*l**2 + l**3).\nAnswer: 15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1126 divided by 6.\nAnswer: -563\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 5*m - 63. Let a be i(6). Suppose 0 = a*l - 4*w + 18594 - 66057, -4*l - 3*w + 63259 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**4 - 12*b**3 + 24*b**2 - 9*b. Let s(m) = m**4 + 3*m**3 - 6*m**2 + 2*m. Let g(u) = 2*o(u) + 9*s(u). Factor g(i).\nAnswer: 3*i**2*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m + 2. Let p(j) = 17*j - 84. Let f(r) = -20*r + 128. Let n(l) = 2*f(l) + 3*p(l). Give -3*n(u) + 5*o(u).\nAnswer: -8*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 3*t + 3. Let r(s) = s + 1. Let y(l) = 2*i(l) - 7*r(l). Let w be y(2). Find the third derivative of 7*v**2 + 2*v**5 - 3*v**2 - w*v**2 wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.376 - -0.044. Round y to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t - 32*t + 1540 = 0. Let x be (-2)\/(-8) + (-11)\/t. Let x + 4\/7*v + 2\/7*v**2 = 0. What is v?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 greater than -1271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + k + 498, 4*k - 3 = 1. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.91 + -6. Let m = f - 4.91. Which is the closest to 0.2? (a) m (b) -2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4906, -9814, -14724, -19636?\nAnswer: -24550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*t + 2*z + 2487, 0 = 4*z - 20. What are the prime factors of t?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118825, 237991, 357157, 476323?\nAnswer: 595489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**2*w**3 + 9*p**2 - 4*p*w + 17*p - 5*w**3 wrt w?\nAnswer: -3*p**2*w**2 - 4*p - 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r - 516 = -4*f, 0 = 4*r - 12. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 93 + 11 + 4*r - 4. What is the tens digit of k(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2 = -3*o, 5 - 21 = -3*o - 5*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 5:48 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.9737 - -2.9703806. Round m to 4 decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -72, 9, 2\/9, -0.1, 1 in ascending order.\nAnswer: -72, -0.1, 2\/15, 2\/9, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {p: 1, h: 1, q: 2, y: 1, k: 1, x: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27672320 divided by -5.\nAnswer: 5534464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxy when three letters picked without replacement from {i: 3, x: 4, d: 1, u: 2, y: 2, v: 6}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957241 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -236, -1, 0.4, -1\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/(867510\/(-140))*54?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**2 - 2*d**2 + 8*d**2. Let a(g) = 2*g**2. Give a(v(p)).\nAnswer: 338*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 74*g**2 + 82*g + 236. Determine x(-38).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 714 = 173. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 43. Let b = v + 4. What are the prime factors of 888\/(-6)*(b - 1 - 1)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(10 - 7)\/(-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -1\/2239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 3124.85.\nAnswer: 3125.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(12\/630*-7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5*d\/(d\/d**(5\/3)))\/(d**(-1\/3))**(-46))**(2\/87) assuming d is positive.\nAnswer: d**(-52\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -x + 46, 65 = 3*x + p - 38. Let c = x - 32. Suppose -2*q - 24 = -2*k, -k = -3*q - q. What is the greatest common divisor of k and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5060 and 38169604?\nAnswer: 190848020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q - 32*q + 99 = 28*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*o + 10*o - 2*o - 69*o + 36 - 36 + 2*o + o - 2*o + 2 - 2*o - 2 - 4*o + 3*o + 0*o - 2*o + o + 2*o + (-4 + 2 + 0)*(-2*o - 4 + 4) + 2*o + 2 - 2.\nAnswer: -33*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7023840*p**4 + 2535013*p?\nAnswer: -84286080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1446889, -1446888, -1446887, -1446886?\nAnswer: -1446885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 541 - 55. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4 = 5. Let q = -351 + 353. Put q, o, -5, -1 in ascending order.\nAnswer: -5, o, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17154, 17162, 17174, 17190, 17210, 17234?\n\"Answer: 2*u**2 + 2*u + 17150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-7)*c\/c**(-14))\/(c**(-1))**(-1\/9) assuming c is positive.\nAnswer: c**(206\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-6)\/s*s)\/s)\/s**(5\/3))**36 assuming s is positive.\nAnswer: s**(-276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1250)*3 + 2*(sqrt(2) + 2) + (sqrt(8) + sqrt(32)\/sqrt(4) + sqrt(8))\/sqrt(4))*6 + -4.\nAnswer: 20 + 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**3 - 11*d + 2. Let w(r) = 11*r**3 - 22*r + 5. Determine 5*a(u) - 2*w(u).\nAnswer: 3*u**3 - 11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*(1 + (-4)\/6). Suppose 3*i - m*i + 6 = 0. Let f be -1 + i\/(-3) + 3. Which is smaller: 2\/5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*l - 17263 + 17373. Put l, 1002, 1 in descending order.\nAnswer: 1002, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2316583?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 72*o**4 - 72*o**4 + 32*o**5 + (-2*o**3 + o - o)*(2*o**2 + 0*o**2 - 4*o**2).\nAnswer: 36*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 13*v = -21. Suppose v*r = 3*g + 336, 3*r + 215 = 5*r - 5*g. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*c - 248, 2*c - 10*j = -9*j + 92. Suppose c*k - 285 = 67*k. Which is smaller: k or -12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -39 in descending order.\nAnswer: -4, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/4)*u)\/u)\/(u*u*u\/(u\/u**(-2\/45))*u))**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/12 - 4*x**3\/3 - 11*x**2\/2 - 4*x. What is the units digit of a(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 s when three letters picked without replacement from {s: 16, c: 4}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*q - 3*x, -5*q + 23*x = 22*x - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2)\/6 + 45\/45.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620 + 620 + 37*a**2.\nAnswer: 37*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*b + 2*z, b - 5*z = -2 - 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 10. Let l be i(-6). Let b be l - (4 - (-240)\/(-28)). Determine n so that -4\/7*n**4 + 6\/7*n**5 - 8\/7*n**3 + b*n**2 + 2\/7*n + 0 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - 2*y**2 + y + (169*y + 122*y - 175*y + 1)*(2*y + 2*y - 3*y)*(-7 + 6 + 4) in the form t*y + q + i*y**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110000 (base 2) in base 7?\nAnswer: -1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000540272013 to 7 decimal places.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiii. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*w - 30*w - 37*w + 33*w.\nAnswer: -59*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1179, 1\/7, 3, 3\/5 in decreasing order.\nAnswer: 3, 3\/5, 0.2, 1\/7, -1179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - -23532161?\nAnswer: 23532173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6981.\nAnswer: 3, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -46. Let g = -10 - u. Suppose 3*n = 1 + g. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 divided by 185?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -41*v**3 - 5*v**2 - 6*v - 2. Let h be t(-1). Suppose 0 = 2*u - h - 142. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*c**2 - 411 - 1367\/2*c.\nAnswer: (c - 274)*(5*c + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7525, -367, 1\/6.\nAnswer: -367, -2\/7525, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 34*g**2\/7 - 29879264*g\/7 - 3515208\/7 = 0?\nAnswer: -2\/17, 878802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.403, -16\/5, 1, -3, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.3562181 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83197.7 years to months.\nAnswer: 998372.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -913760 by -7.\nAnswer: 913760\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5312488 = 5*x, q + 5312497 = 6*x - x. Let m be (-32)\/10*x\/(-1). Round m to the nearest 100000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3 = -13. Let j be ((-8)\/6)\/4*z. Let i = -2327.97 - -2328. Which is the nearest to j? (a) 0 (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 17 = 1. Find the third derivative of 0*l**4 - l**2 - 2*l**o + 4*l**2 + 0*l**2 wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-30))\/(3\/(-54)) + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*z + 74*z + 46*z = -10830 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789437?\nAnswer: 11, 43, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 2 - 6) + (-11 - -8 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + a - 194 + 5*a - 34 + 82*a.\nAnswer: -4*(a - 19)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 14) in base 8?\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a - 4*k = 324, -459 = -3*a - 3*k. Let l = 160 - a. Solve 6*o + 6 = l*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17450411009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 (base 10) in base 14?\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3751.1 - 3751. Put 14\/5, 1\/3, -4, 3\/5, t in descending order.\nAnswer: 14\/5, 3\/5, 1\/3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111211 + -11?\nAnswer: 2111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 13) to base 12.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12570630 divided by -2514126\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 54*c**2 - 95*c - 735. What is y(52)?\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -9*t + 240. Let b = t - 97. What is the remainder when b is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004467514 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -23.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -4 - 908\/60 - -7.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/303727968 and -14\/9501.\nAnswer: 303727968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(297) - (sqrt(297) - (sqrt(297) - (sqrt(297) + 1*sqrt(297)*3))) - sqrt(297))\/sqrt(9))\/(sqrt(22)\/sqrt(18)*-4))**2 + 2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18221523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*t**2 - 11 + 5)*(1 + 0 + 0).\nAnswer: 2*t**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 1:37 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44\/(-57) - (-2)\/3. Let x be (2\/16)\/(12 + (-150)\/12). Sort x, i, 4, 1\/6 in decreasing order.\nAnswer: 4, 1\/6, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(200)*3 + sqrt(200))**2 + 3.\nAnswer: 320*sqrt(2) + 3219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**3*x)*x\/(x**(-2\/15)\/x*x*x))**(25\/4))**(5\/17) assuming x is positive.\nAnswer: x**(-1075\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 - 2*b + 2*b)*(0*b - 3*b - 2*b) + (-2*b + 2*b**3 + 2*b)*(4*b**2 - 4*b**2 + 2*b**2).\nAnswer: 9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/10 - (-210)\/150. What is the highest common divisor of a and 1614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkkkwkkxkdkekkkwede. What is prob of sequence dee?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -15. Suppose -4*j + 89 = -131. Calculate the highest common divisor of l and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-4)\/18)\/(47 - (-69692)\/(-1482)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3561, 3570, 3595, 3642, 3717, 3826?\nAnswer: 3975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 741567 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -32264\/10113 less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 24*y**2 + 6*y + 2. Let z(g) = -23*g**2 - 6*g - 3. Let h(f) = 5*c(f) + 4*z(f). Let j be h(-9). Suppose -b + 5*b = j. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 42\/5 of a minute?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393561499?\nAnswer: 43, 212851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**2\/2 - 1. Suppose j - 77116 = 5*l - 8*l, -77124 = -3*l - 3*j. Let v(t) = l - 15*t - 25704. Determine i(v(o)).\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*4\/(-12))\/(2\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/14 + (-600)\/1050.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4885 + 34315\/7. Let l be 2\/(-12) - (-1901)\/(-126) - 1. Let a = l + r. Which is smaller: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6481 - 1240 = -299*s + 1249 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a**(-1\/13)*a)\/a)\/a*a)\/a)\/a*a**(-1))\/(a**1)**35*(a\/(a**1*a*a))**(21\/4)\/(a*a\/(a\/((a\/(a\/(a\/(a*a*a**(-2\/3)\/a))))\/a)))**(-3) assuming a is positive.\nAnswer: a**(-1211\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 10 - 5 = 5*z, -4*g = -10*z + 52 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 441 + 54*t**2 - 217 - 224 to w*t + r*t**2 + x and give r.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = -22*f - 27*f. Solve 10 = -2*s - 2*g, -2 = 4*s - f*g - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-6)*x)\/x*x))**31\/((x\/x**(-4\/9))\/(x\/(x**(3\/14)\/x))) assuming x is positive.\nAnswer: x**(23479\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6232? (a) 5 (b) 0.01 (c) 1\/149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*h - 2*x, -5*h + x - 30 = -4*x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 80 or -431451?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*10\/(-15) - (1 - 8). Suppose 70 = -y*j + 172. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*i - 82*i + 185*i + (1 + 5 - 3)*(-9*i + 5 - 5) as x*i + a and give x.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jiinjjnnn. Give prob of picking 1 j and 2 n.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 63. Suppose 0 = -4*h + 4*u + 24, -5*u = 4*h - h - 2. Suppose -j = 4*z - h + 10, -5*j = z + 87. Are j and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -1\/2*r**3 - 1\/2*r**5 + 0*r + 0 + r**4 + 0*r**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**4\/8 + 11*o**3\/6 + o**2 + 4*o + 24. Let l(i) be the second derivative of j(i). Let x be l(-4). Is -44 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15725 + -15729. Let o(y) = 3*y**3 + 10*y**2 - 2*y + 5. Determine o(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28.602 and 0.006125?\nAnswer: 28.595875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*s + 30 = -2*s, x = -5*s + 60. Suppose -115 - x = -5*t. Let y(c) = -21*c**3 + 2*c + 1. What is the remainder when t is divided by y(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 3. Suppose 5 = 4*u + x + 12, -2*u + x + i = 0. Is 1 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1008152?\nAnswer: 2, 126019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0967 and 17.99.\nAnswer: 18.0867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 68. Let b = 70 - c. What is the second biggest value in b, 24, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/4)\/((-6)\/(-8)). Let g be 16 - (8\/(-4) + k). Let b be ((-11)\/(-231))\/(1\/g). Sort -4\/7, -0.4, b in descending order.\nAnswer: b, -0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 10*i**2 + 9*i - 6. Let n be o(9). Let w(a) = -a - 14. Let z be w(n). Put -3, 1, z in descending order.\nAnswer: 1, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**2\/5 + 172*b\/5 = 0. Calculate b.\nAnswer: -43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d + 291 - 587 + 314 to h*d + w and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*o - 168*o + 1340 = 0. Calculate the remainder when 283 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k. Let s(u) = -19 + 15*u + 29*u - 46*u. Give y(s(d)).\nAnswer: 8*d + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*x - 0*x, 0 = -5*h + 4*x + 622. What is the highest common factor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clnac. Give prob of sequence cl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -321781 and 2\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78 - (22 + 44) - (-12 - 0)) + 20.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 30 = -2*l. Suppose 6*w = 2*w + 3*k + 30, l = 2*w + 4*k. What is the highest common factor of 81 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 3940283\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o**3 - o**2 + 8*o - 7. Let t(q) = -4*q**3 + q**2 - 5*q + 5. Let a(b) = -8*t(b) - 5*u(b). Let s(x) = -7*x**3 + 8*x**2 + 14. Give 11*a(f) + 4*s(f).\nAnswer: -6*f**3 - f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 - 1)*(5*o - 13*o + o) in the form d + z*o and give z.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 8*p**2 - 3*p - 6. Let n be s(-8). Suppose -n*h = -37*h + 4142. What are the prime factors of h?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 656 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 55*x - 72. Is 15 a factor of h(39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-57)\/1*38\/285 + (-39)\/(-65). Let r(x) = 2*x - 2*x + 2*x + 2 + 4. Let j(g) = 4*g + 11. Calculate c*r(s) + 4*j(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from ieeliniiteeiieliie.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351225*j - 351225*j + 26*j**2.\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -40 and 0.128.\nAnswer: -39.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 12 = 2*n - 4*n, -x = 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*s = 7*q + 6, -3*s = 5*q + 6. Let y be (-1)\/(4\/(-3) + 1). Suppose -y = -3*p, -d + p = -q*p + 2. Does d = 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*i - 4*m + 196 = 47*i, 5*m - 574 = -3*i. Solve 0 = 28*p - 20 + i for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j - 222*j - 3*j.\nAnswer: -213*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**4\/8 + 4*d**3\/3 + 9*d**2\/4 - 9*d - 1631. Solve j(x) = 0 for x.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21658*-3\nAnswer: -64974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2340 and 4204395.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, p: 4, l: 5, o: 7}. What is prob of sequence ol?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -8. Suppose b*a = 3*v + 3*a - 14, -3*v = -a - 10. Find the third derivative of v*s**6 - 3*s**6 + 3*s**2 + 0 + 0 wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3848 - -12651. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 9:02 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0*c**3 + 0*c**4 + 0*c - 5*c**2 - 1\/60*c**5 + 0. Let f(y) = 6*y**2. Determine d(f(s)).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 154?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*c - 1\/4*c**4 + 3\/4*c**3 - 3\/4*c**2 + 0 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17201948.\nAnswer: 2, 4300487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*o = -5*g + 14, -3*o - 2 = 2*g. Suppose -88*h = -282 - 777 - 877. Let n be g\/(-11) + 114\/h. Solve -m = -n*x - 24, -x = -3*m + 2*x + 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 * -0.1\nAnswer: -5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 - 27. Let h be (-12 + l)*1*9. Suppose 0 = 2*o - o - 23. What is the greatest common divisor of h and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -837 + 836.999511. Round b to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/8*36\/(-1014).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 215*c - 25. Let j(d) = 72*d - 9. Give 11*j(q) - 4*s(q).\nAnswer: -68*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -8*z - 8. Let b be c(-1). Which is smaller: b or 19\/18?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) - (sqrt(288) + -3*sqrt(288)) - sqrt(288))*4)\/sqrt(12)*3)\/(-6*-3*sqrt(200)*-6).\nAnswer: -2*sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**3 + 7*x**2 + 8*x + 5. Let s(h) = -4*h**3 + 8*h**2 + 9*h + 6. Let p(m) = 4*s(m) - 5*t(m). Calculate the remainder when 31 is divided by p(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -1. Let h(z) = 0*z**3 - 2 - 8*z + z**a + 9*z**2 - 3*z**2. Let o = 1203943 - 1203950. What is h(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41478 times -0.3?\nAnswer: -12443.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68 - (90 + -94)) + -12?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1647107 rounded to the nearest 1000?\nAnswer: -1647000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c**2 - 9*c. Let g(o) = -o**2 + o. Let y(i) = -36*g(i) - 4*p(i). Let a(d) be the second derivative of -d**3\/3 - 3*d**2 - 6473*d. Give y(a(f)).\nAnswer: 16*f**2 + 96*f + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 29*q**2 - 27*q + 40. Calculate k(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4\/2 - 3180*c**3 + 44463*c**2\/2 + 25412*c = 0.\nAnswer: -1, 0, 8, 6353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.2 - -8.1. Which is the fourth smallest value? (a) r (b) -2\/5 (c) 2\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28754674 to the power of 1\/2, to the nearest integer?\nAnswer: 5362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102\/(-11)*(68\/(-12) + 1) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8880\/(-75)*479\/(-7664).\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -2*q**5\/75 - q**4\/30 + 2*q**3\/15 + q**2\/3 + 4*q\/15 - 7. Factor u(p).\nAnswer: -2*(p - 2)*(p + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 188 + -183.93. Round q to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2\/11 + 2191460*x\/11 + 600312116450\/11 = 0?\nAnswer: -547865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 0 + 2 - q - 2*q + 4*q. Let n be r(-2). What is the remainder when 47 + n + 1\/(-1) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 + 205. Let r = v - 102. What is the biggest value in 1\/3, 0.01, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 7*b**2 + 7*b + 4. Is 11 a factor of g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7978\/19 or -419?\nAnswer: -7978\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**5\/120 - 17*b**4\/48 - 7*b**3 - 207*b**2. Suppose t(u) = 0. Calculate u.\nAnswer: -4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8120578.621943 - 4181302.621852. Let l = 3939225 - m. Let y = 51 + l. What is y rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.5, 3, 40, -7, 7.9?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/i)**33*(i**2\/i)\/i**(1\/2) assuming i is positive.\nAnswer: i**(-131\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -786*q - 4333 - 1568 = 9033 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6134 - 4746 + 3029 - 3*d.\nAnswer: -3*d - 7851","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 + 65*o - 74. Calculate b(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245912704.\nAnswer: 2, 733, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.4909 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6716254477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - ((22 - 7) + 5 - 12)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*d = 2*d - 18, a - 5*d = -18. Let u = a - 0. Suppose 0*o = -u*o + 18. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/664 and -95\/332.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*x**2\/3 + 19458*x + 33352\/3 = 0. What is x?\nAnswer: -4169, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -45, -80, -123, -180, -257, -360, -495?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 49*u**2 - 5. Let p(l) = 49*l**2 - 4. What is 4*k(a) - 5*p(a)?\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 54*v. Determine h(1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 235 + 281 = -6*s, 4*c - 43*s - 123 = 0 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -6.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 61580 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) -5 (c) 62 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*b**5 - 18*b**4 + b**2 - 2787*b?\nAnswer: 160*b**3 - 216*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*u**3 + 2*u**3 + u**3 + (6 - 5*u - 6)*(2 - 4*u**2 - 2) as t*u**3 + c + o*u**2 + b*u and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 8*h**2 - 7*h - 10. Let u be g(8). Let p be (-1 + (-2 + 2)\/(-2))*u. Suppose -p + 3 = -7*n. What is the remainder when 53 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 30.60609 kilometers?\nAnswer: 30606.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 222492\/15 + 1 + (-99)\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -561, -581, -623, -693, -797, -941, -1131?\n\"Answer: -k**3 - 5*k**2 + 2*k - 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29026.\nAnswer: 2, 23, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 49921 - 49921.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13487611*b**3*t**2 - 85293281*b**3 - 4*t wrt t?\nAnswer: 26975222*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 40, 3, 0.5, 4 in decreasing order.\nAnswer: 40, 4, 3, 0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1453.7, 2\/9, 0.2, 2\/7, -38\/15, -4?\nAnswer: -38\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2065812l in millilitres?\nAnswer: 206.5812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 10. Suppose 4*v + b = 18, 6*v - 3*v - 3*b - 6 = 0. Let d be (6\/v)\/(2\/4). Solve 2*k = -t*i - 3*k + 14, 2 = -d*i - k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5104 and 1276?\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 1 + 14. Let h(w) = 18*w - 20. Let r(k) = -9*k + 10. Let s(x) = v*r(x) - 2*h(x). Does 16 divide s(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166811, -166812, -166813, -166814, -166815, -166816?\nAnswer: -166817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -6248 (b) -2\/7 (c) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -568.44408056 + 521.4440815. Let j = -47 - a. What is j rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 3, 1479, -3 in decreasing order.\nAnswer: 1479, 3, 3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29 + 45?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 454\nAnswer: -5\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -60 - 6. Let x(h) = -h - 4*h + 2 - 2*h + h**2. Let m be x(7). Calculate the greatest common factor of g and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 749 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.46 and 0.6.\nAnswer: 0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*f = 6, 5*p + 3*f = 6*f - 2. Suppose p*k = -3*k + 15. Solve 5*w - 33 = -4*l, 5*w - k*l = l + 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30801, -30796, -30791, -30786, -30781?\n\"Answer: 5*k - 30806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w = -15*w. Suppose 4*z = -4, -5*z = 2*a + 3*a - 10. Suppose w*k = a*k - 147. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1296723 and -1296722 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2724\/(-37455))\/((-6)\/11).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1146 and -0.44.\nAnswer: -1146.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -762 + -305. Let o = -2057 - a. Let q be o\/27*6\/(-4). Calculate the greatest common divisor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113921 is divided by 1003?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 40 = 196. Suppose -72 = v + 40. Let r = q - v. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-186)\/(-21) + 4040\/(-202))*7.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*w + 84 = -w + 2*c - 6, 0 = -50*c for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 1531561680.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 546977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -879 + 890. Suppose -5*i + 245 = 5*s, -1 + 108 = 3*s - 5*i. What is the highest common factor of n and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c (base 13) to base 12.\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48970260659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 + -0.1. Which is the second smallest value? (a) 4 (b) 1 (c) 0.4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 9, 636, -22, 3, -3 in decreasing order.\nAnswer: 636, 10, 9, 3, -3, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wddod. What is prob of picking 1 d and 3 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -0.07 (c) -87 (d) -0.5 (e) -4 (f) -2.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5*d = 27, -2*w = w - 3*d - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -872 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22142541 - -1045?\nAnswer: 22144030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i - 29197 - 4*i + 14596 + 14601 - 3*i. Suppose -3*s + s + 2 = 0. Let x(b) = -2*b**2 - 6*b. Calculate s*x(a) + d(a).\nAnswer: -2*a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. Suppose 14 = -2*b - 0*b + y*h, 0 = -5*b + 4*h - 30. What are the prime factors of -2 + (51 - -4) + b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1541475 and 1054?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -14*c - 6. Let p be j(-2). Let t(w) = 15*w + p*w - 51*w. Suppose -a + 6*a = 85. Let o(u) = -5*u. Determine a*o(b) - 6*t(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 125101830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2148598\/5 or 429720?\nAnswer: 429720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + l + 13 = -5*v, -2*v - 8 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*a**2*f*s**3 - 2*a**2*s**3 + 2*a**2 + 28*a*f*s**2 + 2*f*s - s**3 wrt a.\nAnswer: 24*f*s**3 - 4*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -253784413 to the nearest one million.\nAnswer: -254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -563?\nAnswer: -563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 1549 + 853. Solve -i*m = -350*m + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -550 + 25*j**3 + 274 + 276.\nAnswer: 25*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2. Let u(n) = -355 + 921 - 565. What is 5*b(p) - u(p)?\nAnswer: 5*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 275.999999 - 276. Round x to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1664812*j**3 + 1664812*j**3 - 313*j**4 + (-j - 3 + 3)*(j**2 - j**2 - j**3).\nAnswer: -312*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u. Let b(g) = -2*g**2 - 8*g - 12. Let w(t) = -b(t) + 6*h(t). Determine o so that w(o) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 7*r**2 + 4*r + 1. Let j(x) = -3*x**3 - 21*x**2 - 13*x - 3. Let g(m) = -3*j(m) - 8*s(m). Let a be g(-6). Which is smaller: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74857 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p + 66. Let g be (7*3)\/(p\/(-209)). What is the highest common divisor of g and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/3, 16, -1 in descending order.\nAnswer: 16, 1, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -0*b - 5*b - 4*t, -2*t + 16 = 3*b. Suppose 0 = u + 2*u - 15. Suppose u*l - 1 = 24. What is the remainder when l is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6)*(-6)\/6\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -5*x**4\/12 + x**3\/6 + 3*x**2 - x. Let k be y(4). Let m = -46 - k. What is the highest common divisor of m and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.512 rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m**2 - m + 1. Let z(f) = 386*f**2 - 14*f - 312. Let r(d) = 42*x(d) - 3*z(d). What is the first derivative of r(t) wrt t?\nAnswer: -1644*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 48 (b) 0.05 (c) -41 (d) -1049 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5087 + 106793\/21. What is the common denominator of z and (-1)\/(-2) + (-644)\/72?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**4\/8 - n**3\/2 + 3*n**2. Let w(v) = v**3 - 23*v**2 - 23*v - 22. Let c be w(24). Determine s(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -204*t - 56. Let u(o) = 37*o + 10. Let q be (-36)\/(-54)*(2 - 38\/4). Let d(b) = q*v(b) - 28*u(b). Let w(x) = 4*x**2. What is d(w(a))?\nAnswer: -64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 9083000 to the nearest 100000.\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7822, -15976, -24114, -32224, -40294?\n\"Answer: 2*s**3 - 4*s**2 - 8156*s + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**8)**(33\/5)\/((n\/n**(-12)*n)\/n*n\/(n**(-2\/19)\/n)))**(-40) assuming n is positive.\nAnswer: n**(-28648\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5429, -5430, -5431, -5432, -5433?\nAnswer: -5434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 4:53 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, n: 9}. Give prob of picking 3 j.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(12)\/(sqrt(24)\/sqrt(4)) + sqrt(2).\nAnswer: 2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2\/((-336)\/(-18)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m**2 - 55*m - 272. Calculate i(6).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -14923595\nAnswer: 59694380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -23*i**3 - 230*i**2 - 10*i - 194. What is j(-10)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1310.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five quarters of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(45) + sqrt(5))*-5.\nAnswer: -20*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.666554 rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 6. Let b be o(10). Suppose -i = i - b. Solve -k = 4*r + i, -4*k + 4*r + 5 = -27 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**4 + 417*c**3 - 33252*c**2 + 355212*c = 0.\nAnswer: -198, 0, 13, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, o: 1, k: 1, p: 1, h: 1}. Give prob of picking 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2470 - 2?\nAnswer: 2468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/9, -35.8, 3\/8, -1\/4, -2\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 2203524?\nAnswer: 2203520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 109865 and 138460.\nAnswer: 10107580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6689*q - 26801. What is t(-4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1330?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.377304um to millimeters.\nAnswer: 0.007377304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*j - 0*j + 25, 3*j - 9 = 0. Let g(r) = r**2 - 17 + p. Let s(k) = -k**2 - 3*k**2 + 5*k**2. Calculate g(s(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 66\/11 + (-3 - (-12)\/15 - 5)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = a - 1. Let o be (-1)\/((-3)\/a*1). Suppose 0 = -4*b - 0*p - p - 5, -o*p = -3*b + 10. Put b, 1, 2 in descending order.\nAnswer: 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.4 + -14.6. Let i = m + 21. Which is the third biggest value? (a) -0.5 (b) 3\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 172141 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29638, 59275, 88912, 118549, 148186?\nAnswer: 177823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*6\/(-9)*2\/24*-3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(((91\/(-39))\/((-7)\/3))\/1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17938, -36267, -54604, -72949, -91302, -109663?\nAnswer: -128032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - o**2 + o + 1. Let s(p) = 8*p**3 + 12*p**2 - 12*p - 4. Determine s(a) + 12*y(a).\nAnswer: -4*a**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 17*b + 190. Let g be m(26). Let o be 38\/6 - 8\/((-192)\/40). Calculate the greatest common factor of g and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 16. Solve h*l + 0 - 4 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1138123\/2 + 569062. What is z in 0*z**2 - 3\/2*z + v*z**3 - 1 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 113*o**3 - 39 + 105 - 35.\nAnswer: -113*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6)*p*p\/((p*(p*p\/(p*p**(-8)*p))\/p)\/p))\/(p**2)**(-2\/9))**34 assuming p is positive.\nAnswer: p**(-3230\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-12)\/(-9))\/((-434)\/(-186)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 223836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -5\/3, -4, 0.3, 2 in descending order.\nAnswer: 2, 2\/5, 0.3, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 < 485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14350411?\nAnswer: 3673, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005628365 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9*((-60)\/(-27))\/2. What is the greatest common divisor of 240 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3))**25*(g*(g**(-1\/12)*g)\/g)\/g*g**21\/g)**(-3\/5) assuming g is positive.\nAnswer: g**(-339\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 42, -5 in ascending order.\nAnswer: -5, -1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000101010001100001011 - -10?\nAnswer: 1101000101010001100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45828 + 1142 = 854*b for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2766 times -13157\nAnswer: 36392262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -19?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4644 = -4*n, 2*n - 7*n = 3*k - 13897. Let d = k - 1473. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 72416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2970 + 4416. Calculate the remainder when a is divided by 480.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*v = 4 - 34, 3*l + 3*v + 12 = 0. Is -1 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11*j. Let a(y) = 120*y. Let k(v) = -6*a(v) + 65*h(v). Let u be k(-3). Solve u = -0*c - 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23847\/70 - 681\/2. Let p = b - -52\/105. Let s(i) = i**2 + 3*i. Let r be s(-3). Is p > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60.85 - -61. What is the biggest value in c, -0.3, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 + 124 = 28*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65666*z + 1840812*z - 48613*z.\nAnswer: 1857865*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*i**4 - 182*i**3 + 2871*i**2 + i + 1.\nAnswer: -744*i - 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -4 (b) -2\/9 (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 8*r**2 + 9*r + 6. Let f be k(-9). Solve 0 = -t - 1 + f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 12:06 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3177\/10 + 318. Let f(c) be the first derivative of 24*c**2 - q*c**5 + 5 + 3*c**4 - 24*c - 12*c**3. Let f(u) = 0. Calculate u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 2*g**2 + 2. Suppose 5*z + 6*w - 52 = 2*w, -2*z + 28 = -2*w. Let m = 11 - z. Let q(b) = -b**2 - 1. Calculate m*v(a) - 2*q(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2700 and 5943600?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-3)\/(-7)*(-5 + 8). Solve -8*h**3 + 0 + v*h**2 - 4\/7*h = 0.\nAnswer: 0, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 258, 469, 678, 885, 1090?\n\"Answer: -p**2 + 214*p + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*w + 2*w + 15, 15 = -3*n. Suppose -16 = -w*o + 64. Suppose t + o = 2*t. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3622 and 11152138.\nAnswer: 3622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 2235?\nAnswer: -1\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 3. Let q be (-10)\/4*30\/25. Let i be 1*2\/5*5. Let b(j) = -j**2 - 2. Give i*p(r) + q*b(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 6. Suppose t - 34 = 5*z, 3*z - 7*z = 16. Suppose 19*a + t*a - 198 = 0. Determine l(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24 (b) -14 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 1 (b) -0.1 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -68?\nAnswer: -5\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -269, -254, -239, -224?\n\"Answer: 15*m - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 11*j**2 - 21*j - 11. Let g(p) = -5*p**2 + 10*p + 5. Let o(x) = -13*g(x) - 6*v(x). Let w be o(-3). Is 2 + (2 - w) - -53 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*a)*(0*a**4 + 0*a**4 + 3*a**4) + (3*a**5 - 4*a**5 + 2*a**5)*(1 - 4 + 2).\nAnswer: 8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -137, 0, -171 in ascending order.\nAnswer: -171, -137, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 32*z + 100. Determine p(11).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-3 - -3 - 8)) + -2 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 285 + -165. Let r = 235 - j. Suppose 7*k - 2*k - r = 4*b, 5*k - b = 100. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*v - 10, -15*v = 4*z - 20*v - 12. Let q = 14 - 4. Calculate the smallest common multiple of ((-5 - 4) + 1)\/z and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 80 = -2*k, 5*z - 10*z = -k + 196. Let x = 37 + z. Let p be x\/(-17) - (-446)\/(-34). Is -13 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 86 = -80. Suppose m*r + 367 = 5*s - 90, 340 = 4*s + 4*r. List the prime factors of s.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6223 = 1229. Let p be (u\/(-21) - -3)\/(2\/74200). Round p to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-560)\/(-320)*114\/(-6783)\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104441*l + 11*l**2 + 15*l**2 - 104439*l.\nAnswer: 26*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13120 and 27224?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - -2*(1 + sqrt(5)))**2 + (sqrt(30)\/(sqrt(6)*2))**2.\nAnswer: 12*sqrt(5) + 201\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39549, -39573, -39613, -39663, -39717, -39769, -39813, -39843?\n\"Answer: w**3 - 14*w**2 + 11*w - 39547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/319113 and -89\/54.\nAnswer: 638226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 119460 divided by -23892\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j**2 - 123*j + 167. Calculate v(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 5*w - 42. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 45 and 356571312514.\nAnswer: 356571312559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:29 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 + 38*z**2 - 44*z - 50. Give m(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 5*c + 47, 47 - 63 = -3*a - 4*c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4783553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/20)\/(1\/(-212)). Let r = 2069\/13 + v. Let n = -22063\/7 + 3152. Which is the nearest to 0.1? (a) r (b) n (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (369\/8569)\/((-1)\/11*-3)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.948512 rounded to one dp?\nAnswer: 51.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 2*n + 0*n + (7 - 7 + 7)*(2 - 2*n - 2).\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21460*u + 21469*u - 1 = -37 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4032 + 4037 - 1\/((-2)\/92*2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 4*z**2 + z + 1. Let g = -60 - -56. Let o be (-5)\/g - 10\/8. Suppose -2*i - 2 = -2*b, 2*i + o*i + 20 = -4*b. What is n(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 656945 and 2825655.\nAnswer: 234529365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 94873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 396814476 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-1)\/(-1))*-31. Suppose -4*v = 4*a + 10 + 14, 0 = 5*a - 3*v + 70. Let o = a - s. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 4)*(5*n - 6 + 6 + (-2*n - 2*n + 2*n)*(1 - 2 - 1) + 2*n - 1 + 1 - n + n + n - 3*n + 2 - 2 + 2*n - 43 - 37 + 68) in the form c + j*n and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/826 and 113\/30.\nAnswer: 12390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3982985 - 3982985 - 4*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, 6, 17, 32?\n\"Answer: 2*f**2 + f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/792 and -1\/20?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*f - 12245, -2449 = y - 334*f + 329*f. Which is smaller: -2447 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 7\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idcisdsggwcs. Give prob of sequence ws.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*sqrt(704) + sqrt(704)))**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 285.4352 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28757?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkkwmqwkfqqwb. What is prob of sequence mf?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 6.21\nAnswer: 0.0621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6512 = 5289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*v**4*w**2 - 68091*v**3*w**2 - 5*v**2*w**2 - 13693*v**2 + 8*v - 2*w**2 wrt v.\nAnswer: 216*v*w**2 - 408546*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*r - 108294 - 48193, 4*r - 208642 = 5*k. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3. Suppose -5*k = 4*z - 21, -12 = 4*k - f*z - 4*z. Let x = -106\/3 - -36. Is x at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4090850?\nAnswer: 2, 5, 81817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - o**3 - o**2 + (-o**2 + o**2 - 3*o**2)*(-27089 + 110*o + 27089)*(6 + 0 - 4).\nAnswer: -661*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28487?\nAnswer: 61, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161664256.\nAnswer: 2, 13, 31, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - f**5 + 1 + (2*f**4 - 5*f**4 - 6*f**4)*(-2 + 1 + 0)*(-3*f + 2*f - 2*f).\nAnswer: -28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 174*w - 179*w + 4*u - 68, 0 = -3*w + 3*u - 51 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 + 98323*t**2\/2 - 171295697*t\/4 + 9346595767.\nAnswer: -(t - 195772)*(t - 437)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1386706, 2773410, 4160114, 5546818, 6933522, 8320226?\nAnswer: 9706930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryya when four letters picked without replacement from yaaryayyaarya?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 6:27 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1495)\/(-1))\/(4\/44). Suppose s - w = 3354. Is (-1)\/(-6) - s\/(-78) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21973536 divided by 3?\nAnswer: 7324512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/3))**(6\/23)\/(c**0*c\/(((c*c**5)\/c)\/c)))\/((c**(-2\/15)\/(c*(c*c*c**(-5))\/c))\/(c\/c**(2\/7)*c\/(c\/c**(-2\/19)))) assuming c is positive.\nAnswer: c**(42043\/45885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 12 + 18 = 0. Let r(j) = -2*j**2 - 2*j - 3. Let w(f) = 3*f**2 + f + f + 6 - 2. Give v*w(m) + 4*r(m).\nAnswer: m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 3*m**2 - 1. Let j be x(-3). Sort j, 2, -6 in decreasing order.\nAnswer: 2, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 31. Let t(h) = h + 36. Determine 5*k(j) - 4*t(j).\nAnswer: 6*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36.8 - -37.32. What is the biggest value in 0, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3384 + 3398. What is the remainder when ((-8)\/10)\/(5\/(-775)) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 50*y**4 - 2*y**3 - 52*y**2 + 33*y + 2515. Let o(g) = 2*g**4 - g**2 + 3*g + 1. Let a(k) = -d(k) + 11*o(k). What is the derivative of a(t) wrt t?\nAnswer: -112*t**3 + 6*t**2 + 82*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12 - 55 + 15 + 101*s wrt s.\nAnswer: 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 12*a**2 - 13*a + 17. Let l be (-5)\/(-10) - (-75)\/6. Let v be d(l). Calculate the greatest common divisor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20222200 (base 3) to base 13\nAnswer: -241b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1584)*-5 - (5*2*sqrt(1584) + sqrt(1584) - sqrt(1584) - sqrt(1584)))\/((sqrt(80)\/sqrt(2)*-5)\/(sqrt(160)*-3)))**2.\nAnswer: 11176704\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -127. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.4, 1\/3, -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 12*j + 17. Let i be b(-10). Let t(a) = -4*a - 5. What is the units digit of t(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -7*x**4\/6 - 7*x**3\/6 + 6*x**2. What is the first derivative of c(y) wrt y?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 245 - 240. Suppose -5*y - o + 56 = 0, f*y + 5*o - 36 - 4 = 0. What is the remainder when 130 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -4, 2, 38 in decreasing order.\nAnswer: 38, 2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.446 + -750.554. Let v = u + 746. Which is the closest to -17? (a) 1 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 41*f**2 - 84*f - 9. Let j(g) = -10*g**2 + 21*g + 2. Let m(d) = 9*j(d) + 2*k(d). What is the second derivative of m(w) wrt w?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-1 + 5\/6)*-6. Suppose j - 5 = 0, m*u + 25 = u + 5*j. Solve 0 = 4*c - u*c - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10*r**3 - 2*r**2 - 4. Let b be k(-3). Suppose 766 = 4*u + 178. Let f = b - u. Calculate the remainder when f is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f)**(-10)*f**(-1\/3)\/f**(-3) assuming f is positive.\nAnswer: f**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 11 - 14 - 4)*(-64*z + 64*z - 27*z**4).\nAnswer: 756*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 9:06 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -310, -3, -26, 2.\nAnswer: -310, -26, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - t + 300 = 0, 4*t - 35 = -2*z - 133. Let m = z - -83. Let j = -13 + m. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -47. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -262*m**2 + 52*m + 524*m**2 - 259*m**2 - 206*m in the form t + a*m**2 + f*m and give f.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + -1*(sqrt(1377) + 0 + 3*sqrt(1377) + sqrt(1377) + 1 + -5)**2 + 2).\nAnswer: -103305 + 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26, 2\/63, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*o + 1 - 11 = -4*d - 114, o + 11 = 4*o + 5*d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (1\/(-10))\/(2\/(-4)) + (-503064)\/(-255)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from {u: 1, k: 1, f: 1, e: 2, d: 1, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 11*n**2 - 5 - 19*n - 12*n**2 + 0 - 2. Is 14 a factor of d(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-476)\/153 + 3)\/((-1)\/12)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1918*g + 640. Let k be p(-30). What is k rounded to the nearest one thousand?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35000 by 25.\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 0)\/(15\/(-10))*-3. Suppose -c + 0 = -o. Suppose -f + c*f = 48. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 50?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33*50\/(-2475)*(-4)\/18.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**5\/540 + y**4\/108 + y**3\/54 - 6*y**2. Solve n(d) = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 - 103. Let p = -24 - u. Calculate the highest common divisor of p and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 12*c**2 - 36*c - 5. What is f(4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1467 by -163.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/15)\/(-4)*135. Let i = -113 - s. Find the common denominator of 1*(0 + i\/2) and -13\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000700827908 to 5 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 161*h - 1\/10*h**5 + 5\/3*h**3 - 1\/2*h**4 + 0 - 2*h**2 + 1\/15*h**6. Factor m(l).\nAnswer: 2*(l - 1)**3*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 + 42. Let y = 51 - s. Let l = y + -63. Which is the fourth biggest value? (a) -5 (b) -3 (c) l (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3*a + 3*d + 10 = 0, -3*a + d + 2 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (14 - 125\/10)*70 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-2)*(-4)\/7. Solve -2*c + 17 = 5*b - h, -4*b + 32 = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 95971 (b) 7\/2 (c) 5 (d) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13968 times 12.55?\nAnswer: 175298.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-1) - (-494)\/13. Suppose -14*h + 18*h - y = 0. Suppose 0 = -h*p + 18*p - 440. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.052 bigger than 1\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.081 - -0.319. Suppose 17 - 2 = 5*a. Sort 1, b, a.\nAnswer: b, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - m + 0)*(2 + 0 - 1) - 4*m - 4*m + 3*m + (2 - m - 2)*(2 - 4 + 0) + m - 3*m - m)*(0*m + 3*m - 2*m).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b**4\/2 - 6137*b**3\/2 + 152413*b**2 - 470184*b + 121968 = 0. What is b?\nAnswer: -924, 2\/7, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1 = 3*h - 5*h, -h + 5 = -4*w. Let u(z) = 11*z**2 - 7*z + 1. Let b(m) = 6*m**2 - 4*m + 1. Give h*b(c) + 4*u(c).\nAnswer: 2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/11, -2\/15, -0.01, 3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/543 and 57\/10498.\nAnswer: 31494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**3*y**3 - 23*q**3*y - 23*q**3 - q**2*y + 4*q*y**3 + 276 wrt q?\nAnswer: -6*y**3 - 138*y - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/(-95))\/((-104)\/(-247)). Which is the fifth smallest value? (a) -1\/2 (b) 1\/4 (c) i (d) 0.01 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01743199932 rounded to five dps?\nAnswer: -0.01743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3946 - 3945.999992836. Round j to seven decimal places.\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -890912842 divided by -6?\nAnswer: 445456421\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 11\/2 and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/6 - 221080*t\/3 - 24438183200\/3 = 0. What is t?\nAnswer: -221080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 + (-65)\/(-11 + 16). Put -1, -2, c, -4, -5 in decreasing order.\nAnswer: -1, -2, c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-12)\/(-30)*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3219 a factor of 72192513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (((-3)\/15)\/((-13)\/325) + -13)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 11 = -2*k, 2*k - 2*s + 6 = -8. Let c(l) = -430*l**3. Let n be c(k). Round n to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/13))\/g**3)**(-8\/13) assuming g is positive.\nAnswer: g**(224\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.547609 - 1.5676. Let a = -0.02 - l. Round a to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -238 (b) 0.1 (c) 3\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 + v + 0*v - 3*v**2)*(-2*v + 2*v - v**2).\nAnswer: -2*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 15 = 0, -1356 = -5*z + 13*t - 16*t. Calculate the highest common factor of 378 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*l - 73*l = -296. List the prime factors of (4 - -2)\/(12\/l).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 18*n**3 + 6*n**3 - 18*n**3 + 2*n**3 in the form i*n**3 + w*n**2 + b + l*n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2705 + -16187\/6. Calculate the common denominator of i and 99\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-10))\/(234\/(-12)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 3*t + 4, -1975*t = -1977*t - b + 9 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1068 - -95. Let m = 1163.0002916 - i. What is m rounded to five dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65049 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 2*g - 4173 = -4*g. Which is smaller: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 75816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.618 times 377.2?\nAnswer: -233.1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/6*84\/16*4\/1?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132, -1, 33, -2, 3, 18 in increasing order.\nAnswer: -132, -2, -1, 3, 18, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-468)\/(-104))\/((-6)\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -94*c + 2416. Let x(q) = -263*q + 7250. Determine 14*d(f) - 5*x(f).\nAnswer: -f - 2426","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1 (b) 3\/5 (c) 2 (d) -1142\/5 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127 by -127.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*a**3*i + 4*a**3 - 55*a**2 - 3765*i - 5 with respect to a.\nAnswer: -33*a**2*i + 12*a**2 - 110*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.13 times 4.39\nAnswer: -4.9607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 100\/(-3)*(-6)\/4. Suppose -5*o + b + 70 = 0. Suppose 4*t - o = d + 26, -t - d + 10 = 0. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 376790 and 410?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Let w be (4\/q)\/((-3)\/9). Let t = 11 + -10.6. Which is the closest to -2\/5? (a) t (b) w (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 36336537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 1)*(-42 - 106*x + 42)*(x + x - 3*x) in the form t + g*x**2 + l*x and give g.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4107, 16642, 37533, 66780, 104383, 150342?\n\"Answer: 4178*y**2 + y - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1051044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.226012 micrometers to meters.\nAnswer: 0.000004226012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*2\/(-3)*132. Let q be 20 + (-3)\/9*6. Let r be (-114)\/(-126)*q + (-4)\/14. What is the highest common factor of r and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/45*(3 - 0\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-1)\/(-1))\/(-22*72\/198)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1654282032 by -281532.\nAnswer: -5876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 265722*o + 17652045321.\nAnswer: (o - 132861)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530 = 16*s - 2542. Calculate the remainder when s is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83431 - -185722. Let s = w + -1327224\/13. Let f = -197 + s. Which is the third biggest value? (a) -2\/15 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-61\nAnswer: -61.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -434271 + 3?\nAnswer: -434267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1482824*u**3 + 6*u**2 + 71930446 wrt u.\nAnswer: 4448472*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -9, 38, 137, 306, 563, 926?\nAnswer: 1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3*j - 5, -a - 2 = j + 1. Let r be 4\/3 + a\/3. Suppose -2*y + 20 = r*y. Solve 5*n + y = -5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29, -61, -93?\n\"Answer: -32*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 402\/13 + 145\/26. Let h = -12 + 8. Calculate the common denominator of (h\/24)\/((-22)\/582) and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5580, 10518, 15442, 20346, 25224?\n\"Answer: -m**3 - m**2 + 4948*m + 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 22*l**2 - 2*l + 20. Calculate s(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5574 (base 13) to base 11\nAnswer: -8a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 7, x: 1, u: 3, h: 3}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 215897724 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.03 (b) 2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 6*d - 6. Let k be g(4). Suppose -4*s + 2*s + 10 = 0. Suppose k*l + 0*r = -5*r + 2, 0 = 2*l - s*r - 2. Are l and 3\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 231 + -229. Solve 12 = 3*d, h*x - 17 + 1 = -2*d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**7\/630 - h**6\/90 + h**5\/10 + 3*h**4\/8 + 3*h**2. Let a(j) be the second derivative of u(j). Factor a(y).\nAnswer: -4*(y - 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 15. What is the remainder when 3*(-2)\/2 + 22 + 40 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 16 + 25*b - 16. Let u(r) = 2*r. What is u(d(s))?\nAnswer: 50*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1423, 1390, 1317, 1192, 1003, 738?\n\"Answer: -2*u**3 - 8*u**2 + 5*u + 1428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1529\/4020 + 14\/201. Let n = -4\/5 - a. Sort 0.2, n, 4 in descending order.\nAnswer: 4, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 16 - 23*o**2 - 42 + 16.\nAnswer: -23*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2655*y**2. Let s(i) be the second derivative of -i**4\/12 + 2*i + 112. Determine s(a(b)).\nAnswer: -7049025*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 3*c + 25 = 2*c, f - 3*c = 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-2\/17)*w**(-15)\/(w\/w**14) assuming w is positive.\nAnswer: w**(-36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (573*k + 10481*k + 4187*k - 1570*k)*(-k + 0*k + 2*k).\nAnswer: 13671*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c**2 + 10*c**2 + 5709 + 9662.\nAnswer: 41*c**2 + 15371","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 13. Let k be f(-11). Suppose 1555 = 7*c - k*c. Suppose c = 5*i + 101. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2545154109?\nAnswer: 3, 107, 880981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 20 = -3*m. Let i(k) = -2*k**4 + 4*k**4 + 4*k**4. Let n(t) = -13*t**4 - t**3 - t**2. Let c(a) = m*i(a) + 2*n(a). Determine l so that c(l) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*i**2 + 2852*i - i**3 + 75*i**2 + 19566*i.\nAnswer: -i**3 + 22418*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 245?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**4\/12 + d**3\/6 + d**2\/2 + 33826*d. Let c(f) = 5*f + 2*f**2 + 1 + 0 + 2*f**2. What is c(m) - 2*k(m)?\nAnswer: 2*m**2 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*h - 49 = -2*i, 126 = 2*i - 4*h. List the prime factors of i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -675 + 855. Calculate the greatest common divisor of b and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9695, 14199, 21709, 32231, 45771, 62335?\n\"Answer: l**3 + 1497*l**2 + 6*l + 8191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8305.\nAnswer: 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 10:13 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1289*j + 77 with respect to j.\nAnswer: -1289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111012 + 10?\nAnswer: 111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 4*h + 105, -5*h + 36 = 2*v - 41. Let z(c) = 2 - c - 5*c + v*c**2 - 32*c**2. Calculate z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/6*(-11)\/(-2). Let u(n) = -7*n - 75. Let c be u(h). Let g = 80 - c. Solve -4*k + 3*k = -4*v + 21, 0 = -k - v - g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 2*z = -2, 67*a - z - 12595 + 12455 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 6:07 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3870814 + 6872049. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5 = 2. Let m(f) = 1 - p + 9*f. Let r(s) be the first derivative of s**2 + 664. Give r(m(d)).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 144881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-2)\/(-4)*-1). Suppose -f*r + 7 = -9. Let j(q) = -q**2 - 23*q + 57. Let k be j(-25). Solve -r*l = k + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/36)\/((-2)\/42). Let o(b) = -11*b + 4*b**2 - 5*b**2 + 2*b + 3 + 2*b**2. Let f(w) = w - 1. Let p(t) = -2*f(t) - o(t). Determine p(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 603*g**3 - 621*g**2 + 5*g + 5. Let n(f) = 301*f**3 - 311*f**2 + 2*f + 2. Let q(p) = 2*k(p) - 5*n(p). Find the third derivative of q(b) wrt b.\nAnswer: -1794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 at least as big as 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2013572 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -65, -98, -131, -164, -197?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41 and -18220262.0418.\nAnswer: -18220221.0418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*l - 7*l**3 + 169*l.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 170*p**2 - 169*p**2 + 1 as u + n*p**2 + t*p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Let r = 5 - c. Suppose 2*i - 24 = r*h, 2*h + 44 = 4*i - 0*h. Solve 0 = -5*n + 2*u - 2, -2*n = -n - 3*u - i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3 - -7) + -6)*2. Let c be s + (-2 - -5) + 1. Suppose 2*z - 6 = z. Solve k + k - z = c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3598 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.8 * -356.\nAnswer: 996.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-18) - -23*(-2)\/(-36)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8601 and 23547.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 33. Let n be (20 + t)*2\/(-4). Which is smaller: -6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 27. Let o = -1.8 + f. Let t = -0.3 + 0.2. What is the second smallest value in 0.5, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t + 54 + t - 49 - 4 + 3*t. Suppose 3 = -w, 2*r - 6*r - 4*w - 8 = 0. Let o(c) = -2*c**2 - 3*c - 1. What is r*o(a) + 3*l(a)?\nAnswer: -2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 7:58 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from jfjjjzfjfffa.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5071*d. Let a(f) = -20*f. Calculate -8*a(k) - t(k).\nAnswer: 5231*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*1*(5 + sqrt(17)*-1)**2.\nAnswer: -20*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + 85. Let h be q\/42 - (-1)\/2. Put 1, 0, h, 2 in decreasing order.\nAnswer: h, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/((c\/((c\/(c\/c**5)*c)\/c))\/c)*(c*c*c*c**(2\/7))**(19\/6))**(-20) assuming c is positive.\nAnswer: c**(-7730\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*s - 6*s + 7*s)*(-3*s + s**2 + 3*s) + s**3 - 5*s**3 + 3*s**3 to the form j + v*s + h*s**3 + l*s**2 and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 26*u**2 + 404*u + 33. Let j be d(-37). Solve 0 = -16*l - 8*l + j for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*i - 274*i - 2 + 2 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30880)\/(-579)*(-144)\/768.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -5.2. Let o = 0.5 - 3.5. Let a = 1 + o. What is the closest to a in s, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265129370 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9\/(b\/b**(-1)))\/(b**(-7)\/b**1) assuming b is positive.\nAnswer: b**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 - 3.05. Let f be 363\/(-12) - (-5)\/20. Let o be (-13)\/f + (-2)\/(-5). Which is the closest to -1? (a) 0.5 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 396846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 14 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -924 divided by 12\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3400, -5, -1\/3 in ascending order.\nAnswer: -3400, -5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116 - 116. Let p(q) = u*q + 6*q - q. Let s(b) = -2*b**2. Determine s(p(d)).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + q**2 - q + 4. Let t be g(2). Suppose -39 = -17*z + t*z. Suppose 16*s = z*s + 879. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvgvgggggggggvgv. What is prob of picking 3 g?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 250, 476, 706, 940, 1178, 1420?\nAnswer: 1666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(153)*1)**2 + -2.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/3)\/((-18)\/(-54)). Solve 9*h = a*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -104543\/4525 - -578\/25. What is the nearest to s in 1, -1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from {q: 5, d: 8, h: 4}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89748260?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70529.35 micrometers in nanometers?\nAnswer: 70529350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-285)\/(-10)*(-8)\/(-12). Let o(x) = 5*x - 16. What is the tens digit of o(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72.62 - 69.62. Let n(f) = -2*f**2 + 3*f - 1. Let t be n(2). Which is the smallest value? (a) -5 (b) g (c) 3\/4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.10613 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17191448*h**4 + 3*h - 1200372 wrt h?\nAnswer: -206297376*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b - 5. Suppose -4*k + 20 = -14*k. Let p be y(k). Suppose -489 = -p*j - 87. List the prime factors of j.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**4\/12 + v**3\/6 - v**2\/2 + 67*v. Let c(m) = 5*m**2 + 4*m - 6. What is -2*c(p) + 11*r(p)?\nAnswer: p**2 + 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 + -89. Let r(a) = -a**3 - 4*a**2 - 2*a. Let g(n) = -n**3 - n**2 - n - 1. Calculate h*g(s) - r(s).\nAnswer: -s**3 + 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, 3, 20, 2 in ascending order.\nAnswer: -97, 2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1730\/3 + -566. Let q = -10 + l. Which is the closest to -1? (a) 1 (b) q (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70*o**2 + 12 + 14*o**2 - 23*o**2 - 84 wrt o.\nAnswer: 122*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101812 (base 11) to base 4\nAnswer: 213320203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 420*i + 6346. Let d be y(-15). Solve k + 4*f - 2 = 0, -d + 51 = 5*f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-1 - 3)*6. Let v(d) = -d**3 + 2*d**2 + 5*d - 3. Let m be v(b). Differentiate 2 + h - h - 3*h**m + 0*h with respect to h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/((21\/(-30))\/(-7)). Suppose -4*j + 872 = z. Calculate the highest common factor of 17 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 9*w - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 11. Let s = v - -6.6. What is s rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13154 or -12853?\nAnswer: -13154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*a - 29 - 88, 0 = a + 4. Let m = 97 - n. Solve -2*h + 10 = -m*h, 2*h = -2*f + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**4 + 216*i**3 + 9852*i**2 - 720176*i + 9166512 = 0.\nAnswer: -57, 19, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = -7. Let s = 7 + q. Solve -19 - 5 = 4*x + s*r, -x = -2*r - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 19. Determine v(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61792 is divided by 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r + 32. Calculate f(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Add together -48543 and 0.66311.\nAnswer: -48542.33689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(104)*1 + sqrt(104))\/(sqrt(800)*-1) - ((sqrt(325)*1 - (2 + sqrt(13) + 2 - sqrt(13))) + 1).\nAnswer: -49*sqrt(13)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -58. Let r(y) = -2*y + 29. Let l be r(d). Solve 0 - 40 = 5*m + l*p, 4*m + 2*p = -24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f. Suppose 396 = -0*u + 4*u. Let a be 14\/(-21)*u\/(-6). Let z(o) = 20*o + a*o**2 + 6*o**2 - 20*o. Determine y(z(l)).\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**3 - 5*f**2 + 225*f - 219. Give k(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 3)\/(-4 + 892\/222). Suppose 42*s = 39*s - b. Let f = s + 94. What is the remainder when 37 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -306 - -450. Let l = v - 150. Let r = 0 - 0. Which is the closest to r? (a) -1 (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -258741184 - -221.\nAnswer: -258740963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/103 - 5080\/1133. Let v = -4\/8317 + -30714665\/33268. Let q = v - -936. What is the common denominator of q and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:31 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -44*j**3 + 508*j**2 - 507*j - 2. Calculate n(1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 16*b - 33. Solve k = b*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -2*z - 7*t + 4*t, 2*z + 4*t = -36. Which is bigger: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Is z\/(-5) - 36312\/(-120) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 168673, 168683, 168693, 168703?\n\"Answer: 10*i + 168663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -46*o + 191. Let j = 2317 - 2313. Determine g(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47811 + -19447. What are the prime factors of z?\nAnswer: 2, 7, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 5, 4, -26, -266138 in decreasing order.\nAnswer: 5, 4, -1, -5, -26, -266138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55071587?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a millennium in years?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9218229.\nAnswer: 3, 83, 37021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43\/7 + -187\/35. Let j(g) = -g**3 + 23*g**2 - g + 25. Suppose 207 = -x + 10*x. Let l be j(x). Is l at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + (-262053)\/6)*(-26)\/65 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*k + 16, -5*k + 0*k = -2*n - 26. Suppose -3*d + d + 4 = 0. Solve -k = -4*y + d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + ((sqrt(343) - 3*(sqrt(343) + 1)) + sqrt(343) + (1 + sqrt(343))*-2 + sqrt(343) - (-2 + 2 + sqrt(343) + -4))*2)**2.\nAnswer: 252*sqrt(7) + 12357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*m + 528*m + 781*m.\nAnswer: 1185*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5480\/3553 - 1\/323. Find the common denominator of -119\/10 and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.698402257 to 2 dps.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u = 3*j + 15, -j = 2*u. Let c(b) = -b**3 + 9*b**2 + b + 13. Let w be c(9). Let z = j + w. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.048 (b) -5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 60. Suppose 16 - z = 2*b. Suppose -b*c + g = -1742, -3*c = -5*c - 2*g + 1148. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125564*x**2 + 41839*x**2 + 41891*x**2 + 41859*x**2.\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, v: 1, i: 3, e: 2, w: 2, x: 1}. What is prob of sequence rx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1589.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 - (-4)\/(-18). Let j(q) be the first derivative of -4\/3*q**2 - 1\/18*q**4 - 16\/9*q - n*q**3 - 7. Solve j(h) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122917859 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 w = 216 + -206. Suppose 8 = 4*h - 12. Suppose -h*u + 148 = -u. What is the remainder when u is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 9 = 4*o, 0 = -2*z - z - 5*o - 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1442*x + 21074. Determine i(14).\nAnswer: 886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -243, -217, -171, -105?\n\"Answer: 10*k**2 - 4*k - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/51 - (-4464295)\/(-352308).\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11312 - 5?\nAnswer: -11317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyqypqppef. What is prob of picking 1 p and 1 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7971591 is divided by 1752?\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9541247531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38713 rounded to three dps?\nAnswer: 0.387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2. Let u(x) = x + 1. Let r be u(-2). Let y be q(r). Suppose 90000 = 3*g - y*g. What is g rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 151211 + -2?\nAnswer: 151206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-15) - (-6)\/(270\/(-1071))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flf when three letters picked without replacement from xfvxxuxllf.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uunt when four letters picked without replacement from {q: 4, u: 4, n: 1, t: 1, s: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -392*w - 13608. Is b(-134) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*v - 2, 57 = 5*d + 2*v - 19. Let a = d + -12. Solve a*t - 3 = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - 6 - -4) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.668 + -18. Let o = j - -0.332191. What is o rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 7*i - 14. Let k be r(-5). Which is bigger: k or -349?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 8. Find the third derivative of f**2 + 28*f**6 - 4*f**2 - 33*f**h wrt f.\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*j + 87, -3*j - 3*d + 114 = 2*j. Let i be ((-4)\/(-14))\/(3\/j). Solve l = 2*l + i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.875776 - -7169046.\nAnswer: 7169041.124224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -37.2, -1\/6, 2.156?\nAnswer: 2.156","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.4 + 1.4. Let g = 11.00044 + r. What is g rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18563281 to the power of 1\/3, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.02209943 to 1 decimal place.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 + 49*l**2 - 25*l + 7. Let x = -13964 + 13939. Calculate w(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*a + 2 = 5, -2*a = 2*u - 6. Suppose -3*i + 64 = 4*t + i, -i = u. Suppose -t*d = -22*d + 270. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 862221.2 days?\nAnswer: 74495911680000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -164, -2\/5, -1, 2, 3 in descending order.\nAnswer: 4, 3, 2, -2\/5, -1, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*y - 1000, -2*y + 4*j - 209 = -3*y. Suppose 3*l - y = 166. Let s = l - 44. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (25 + -16)) + 25 - -16.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-5*(-7)\/70 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 20*o**3\/3 - 7*o**2\/2 + 7*o + 22. What are the prime factors of g(3)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 9832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 389, 654, 919, 1184, 1449, 1714?\n\"Answer: 265*c + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from eeevaoez.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g. Let h be d(4). Let z = h - -50. Suppose 4*k - z = 2. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 12:34 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2 - 3*i + 2. Suppose -o - 10 = -3*p + 3*o, 0 = -2*p - 2*o + 2. What is the units digit of r(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {l: 2, r: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 + d**2 - d - 1. Determine l(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**3 - o - 1. Let j be x(-1). Suppose 114 = -j*t - 4*a, 3*t = 6*a - 3*a - 90. Let f = t - -48. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/(-690) + 268\/(-40) + 7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*j + 34 + 2061, 4*j + 4*c - 1660 = 0. Suppose 0 = 4*p - 3*o - j, 5*p = 7*p + 4*o - 214. Suppose -78 = -3*v + p. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-2) - (2 - 3). Suppose -n*v = 2*v - 5. Let l be 2*(v - 0) - 3. Which is bigger: -0.2 or l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56454931429 - 11*m**3 + 3*m - 56454931429.\nAnswer: -11*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -23. Let v = b - -24. Solve -v*a = -2*a + 3*h - 3, -5*a = h + 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000509131 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8277, 5, 3 in descending order.\nAnswer: 5, 3, -4, -8277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**6\/(a*(a\/((a*a\/(a\/(a\/(a*a**(3\/11)))))\/a))\/a)*a**(-2\/5)*(a*a**(-1\/5)\/a*a)\/a assuming a is positive.\nAnswer: a**(227\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 8. Let t = -22263 + 111314\/5. What is the nearest to t in -1, b, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose -4*c = -3*q - 8, -2*c + v*q = 6*q - 4. Suppose -2\/7*j + 2\/7*j**4 + 2\/7*j**3 + 0 - 2\/7*j**c = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2)*(15\/(-225) + 0)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.4 + 144.4. Let x = 120.02 - v. What is x rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 4*g**2 + 2*g + 8. Determine a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b - 180 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63 and -12706?\nAnswer: -800478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 300\/78 - (-2)\/13. Suppose q + 4*g - 1 = 0, l*g - 57 = -4*q - 5. Let z = q - 12. Calculate the remainder when z is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 u when three letters picked without replacement from {o: 1, u: 1, m: 3, a: 2, v: 3, z: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 207 and 70288?\nAnswer: 632592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1741 + -6?\nAnswer: 173a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b - 1307. Let t(r) = -7*r + 1309. What is -3*c(p) - 2*t(p)?\nAnswer: 2*p + 1303","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*2*-5)**2 - sqrt(500)) + sqrt(45)\/(sqrt(324)*1 - sqrt(9)).\nAnswer: -49*sqrt(5)\/5 + 50000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 20*c - 119. Let n(h) = -4*h**2 + 59*h + 359. Let a(f) = -7*d(f) - 2*n(f). Let x be a(-14). Solve -4*m + 3 + 4 = r, -r = -x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 21, -4, -57, -144, -271, -444, -669?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -534, -533, -532, -531, -530, -529?\n\"Answer: g - 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3124220410 to the power of 1\/3, to the nearest integer?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0325757491 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 2*f - 6*f)*(f - 1 + 1)*(-2 + 12 - 6)*(-f - 2 + 2)*(3*f - 5 + 5).\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*((z\/(z**(-2\/11)\/z*z*z*z))\/z)\/z)\/z)**(-2\/15)\/((z\/z**(3\/4)*z*z)\/(z\/((z*(z*z**(-3)*z)\/z)\/z))))**45 assuming z is positive.\nAnswer: z**(2229\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*t**4 - 1023201*t**3 + 251316*t**2 - 4*t wrt t.\nAnswer: -144*t - 6139206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -485 - -489. Calculate the greatest common divisor of l and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7133\/12 + -594. Let h = -9.56 - -9.66. What is the second biggest value in h, b, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/4 and -67\/63737980.\nAnswer: 63737980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(4\/(-2*4)). Which is the closest to 0.1? (a) -1\/2 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v - 9*v + 145 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167 + 83 = -12*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(6\/2) - (-39312)\/3456.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 7 + 14 + -30 + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 33*u - 243. Let y be i(-12). Suppose 5*t = 15 + 30. What is the greatest common factor of y and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 5*o + 1. Let p be t(-4). Suppose p*d + 4*w = 27, 18 = 3*d - 0*d + 3*w. Calculate the greatest common factor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10314314 (base 5) in base 13?\nAnswer: 314ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 12*d + 80. Which is the closest to -0.1? (a) -4 (b) -3\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*l + 51, x + 6*l - 21 = 4*l. Let f = -103 + x. Let k = -54 - f. Is k a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 3*n + 66. Let z(t) = 19*t**2 - 6*t**2 - 1 + 10*t - n*t**2. Is z(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22538, -180201, -608138, -1441487, -2815386?\nAnswer: -4864973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/65*(-30)\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131 - -68. Let t = -35 - w. What is the remainder when t is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22670037*n**2 + 24095280*n wrt n?\nAnswer: 45340074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + n**2 - n - 1. Let l be u(-2). Let y = l - -5. Solve -s + 10 = -y*q + 3*s, 0 = 5*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17241*t**3 + 12129*t**2?\nAnswer: -103446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.045 and -0.022.\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4803)\/(-9) - (-4)\/48*-8?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1353 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 743*p + 1691 - 205 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 7076751?\nAnswer: -2\/2358917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 25794*j**3 - 8*j**2 + 7 + j**2 - 25795*j**3 - 7*j + j**2. Calculate m(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 1, 57 in increasing order.\nAnswer: -5, 1, 6, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 17. Let t be 13\/(-5) + l\/15. List the prime factors of (-6)\/(-4)*(-116)\/t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**5\/5 - 26*n**4\/5 + 6*n**3\/5 + 74*n**2\/5 - 52*n\/5 = 0?\nAnswer: -13, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 18 = v, 0 = v + 13*y - 12*y + 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 471 and -29.7.\nAnswer: -13988.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 3*j**2 - 2*j + 3. What is a(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooggggqqqgq. What is prob of picking 2 g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -j - 3*p + p, -1 = p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -458*a**4 + 99*a - 2 wrt a?\nAnswer: -5496*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-22)*(-60)\/315*3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1479)\/(-255) - (-2)\/10. What is the greatest common divisor of 78 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(125)*2)**2 + (sqrt(125) - (sqrt(125) - ((sqrt(125) - sqrt(125)*2) + -3))))*5.\nAnswer: 175*sqrt(5) + 2505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + sqrt(612) + 1 + -1*sqrt(612) + 1)**2*-5.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/1 - (-2 + 3). Suppose 2*z = -g*z + 35. Let w = 50 + z. Round w to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226, -281, -404, -619, -950, -1421?\nAnswer: -2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 2*j**2 - j + 1. Let q be a(2). Let l be ((-4)\/(-170))\/(q\/(-5)). Sort -4, l, 4 in decreasing order.\nAnswer: 4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8665 and 4.\nAnswer: -8661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1242, -2\/13, -3\/13, 1, -2\/61?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8 + 6*f + 3 + 8 + 0*f**2 + f**2. Suppose -9*s - 49*s = 232. Calculate l(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-8)*(-4)\/3. Suppose -155 = -y*x - 3*b - 43, -28 = -x + 5*b. Let z be (-6 + -1)*(-8)\/x. Solve 2*d - 12 = -4*i, z*d - 4*d - 33 = -5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 701461, 701516, 701605, 701728, 701885, 702076, 702301?\nAnswer: 702560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 2*v**4\/3 + 3*v**3\/2 - 14*v. What is the second derivative of j(p) wrt p?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 4*h - 18 = -x, 0 = -x + 2. Let z(n) = -n**2 - 5*n - 4. Let y(w) = 1. Determine h*y(v) + z(v).\nAnswer: -v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7316023213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3949 + -39421\/10. Find the common denominator of 57\/22 and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 - -10010111?\nAnswer: 1110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 - 3. Let y(m) = -4 + 5 + 2*m**2 + 2. Let u(h) = 7*t(h) + 6*y(h). What is the derivative of u(b) wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*x**2 - 12 + 22\/3*x = 0. What is x?\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c. Let k(m) = 698*m**2 + 6*m + 7. Let a(v) = 63*v**2 + v + 1. Let n(r) = -7*a(r) + k(r). Calculate n(t(x)).\nAnswer: 2313*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.2 + 11. What is the closest to -0.1 in -3, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 84.29 and -0.3?\nAnswer: -25.287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2496316?\nAnswer: 2, 37, 101, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n + 12 = 0. Let f be (0 + n)\/(-2 + 4). Factor 1\/4*q**f + 0 + 0*q + 0*q**2 - 1\/4*q**4.\nAnswer: -q**3*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 710519431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9047 + -0.0953. Is h < -0.051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*f**2 - 2*f**4 + 37*f**2 - 2 + 4*f - 2*f + 4 to the form z + q*f**4 + j*f**3 + y*f**2 + l*f and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 238 and 77370468.\nAnswer: 77370468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011101110 - -1?\nAnswer: 11011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x - 25 = 0. Suppose x*k = -0*k + 275. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 1. Let n(v) = -1 + 329*v - 333*v - 2 - 1. Calculate 26*c(k) - 6*n(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 - 86. Let v be -1 - 1 - 5\/(-2). Which is bigger: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**3 - 8*i**2 - 5*i + 9. Let u(p) = 2*p**2 + 6*p + 3. Let z be u(-4). Let r be t(z). What is r rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 130 + 292 = 0 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 125 - 5118?\nAnswer: -4bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s - 19*s + 13*s - 17. Let h be d(7). Which is the third biggest value? (a) h (b) 2\/3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 2:38 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*o**4 + 659104*o**3 + 1299*o**2 + 364*o + 5 wrt o?\nAnswer: -1224*o + 3954624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 90, 91, 84, 63, 22, -45, -144, -281?\n\"Answer: -b**3 + 2*b**2 + 2*b + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = v + 2*p, 4*p + 82 = 5*v + 3*p. Let h(c) = -3*c - 12. Let m be h(v). Let n = m - -73. Solve -4*r = -2 + n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {g: 1, a: 1, s: 5, e: 2, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006618135 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.87 - -0.13. Let s = 1.01 + -1.66. Let k = 0.58 + s. Which is the third biggest value? (a) z (b) k (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604*t = 607*t - 5*n - 189, 0 = 3*t + 5*n + 201 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1044 and 36598.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94017016 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -383 divided by 287.\nAnswer: -383\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 7664367?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5 - 518*h**4 + 66560*h**3 + 135200*h**2.\nAnswer: h**2*(h - 260)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*o = b + 25, 0 = 5*b + o - 5. Suppose -6*v = -b*v - 72. What is the remainder when 57 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 10:24 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 16053*c**2 - 6*c + 3*c.\nAnswer: -16053*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4bb3a4 (base 12) to base 4\nAnswer: -10233131230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1.7 (b) 0.5 (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/3*(-55 - 6410).\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*c - 81*c - 151*c = 2608 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 2*v - v + 0*v + 2*v - v - 4*v + 2*v - v + 1 - v - 1 + 3*v + 3*v - 4*v + (v + v - 4*v)*(-2 - 3 + 3) + 0*v + v + v + (-6 - 1 + 4)*(v - 6*v + 3*v).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 24 = w, -4*b + 37 = -3*w - 9*b. Let n(q) = q**2 + 7*q + 9. Let j be n(w). Which is greater: j or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**2*i**6 + 2*g**2*i**2 - 13*g**2 - 3823*g*i**6 - g*i**2 + 8 wrt i?\nAnswer: -240*g**2*i**3 - 458760*g*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*l - l + 10, -3*u - 11 = 4*l. Let q = -94206\/11 + 8566. Which is greater: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/22 and -9\/121904714.\nAnswer: 1340951854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = r + 1, -36*a + 32*a = r + 5 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-9)\/((-45)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 7, 7, 27, 73, 151?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4303050 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: Suppose 0*b - 80 = -4*b. Suppose i + i = 178. Suppose -i + b = -3*l. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 149486.782600179.\nAnswer: -149489.782600179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 * 0.21\nAnswer: -2.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 44\/(-440) - (-2)\/(-4). What is the second biggest value in -5, 3\/73, d, -11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*33\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2817.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/6 - 0)*-3. Let z(s) = -s**2 + 2*s - 2. Let x be z(3). Let b = 11 + x. Solve -p*n = -6*n + a + b, 2*a = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)\/(i*i*i*i\/(i\/i**(-7))))**(-20\/9)*(i**(2\/7)*i)\/i**(-6)*i\/(i*i\/(i*i*i**(-6)*i))*(i\/(i*i*i\/i**(-2)*i*i*i))\/i assuming i is positive.\nAnswer: i**(181\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u + 23 = d, 5*d = 2*u + 180. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - a - 1. Let l(g) = 3*g**2 + 28*g - 47. Suppose -44 = 240*p - 236*p. What is the remainder when y(3) is divided by l(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22214022.48 minus 528.5?\nAnswer: 22213493.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 44 (b) 208 (c) -3\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 4*b + 804. Suppose 0*j - 3*j = -b. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -31*d**2 - 167*d - 15. What is p(-5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8233 is divided by 8149?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11300 (base 4) to base 14\nAnswer: -1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 2 = 10*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.3265 + 0.3265. Which is the third biggest value? (a) q (b) 5 (c) -3 (d) -0.1 (e) -1.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 5*d**4\/24 - 7*d**3\/3 - 8*d**2. Let t(p) = -2*p + 5. Let c(b) = -11*t(b) - 4*y(b). Differentiate c(i) with respect to i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 h when three letters picked without replacement from {b: 8, m: 2, h: 8}.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5141\/39 - 395\/3. Which is the nearest to n? (a) 1\/5 (b) 5 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/540 + 37\/120?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294383489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/r**(-1))\/(r**0)**13*((r*r**(2\/9)\/r)**(-2\/31))**(-29) assuming r is positive.\nAnswer: r**(-1279\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -12832530 equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(160\/(-500))*(-4)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, z: 2, i: 1, s: 1, e: 1}. Give prob of sequence pzzp.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + sqrt(7) + -5 - (-2 + sqrt(14)\/(-2*sqrt(2))))**2*1.\nAnswer: -12*sqrt(7) + 127\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3\/4 (b) -0.5 (c) -9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*w + 10763 = k, 3*w - 16146 = -3*k. Suppose 4*s = 8, 3*x - 4*s + 1824 = k. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/16)\/m)\/m**(-4))**20 assuming m is positive.\nAnswer: m**(235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 202.1775m?\nAnswer: 20217.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/32 and (7 + 110405\/12240 - 11) + 10\/(-2).\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103220 (base 5) to base 12.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 12*c + 4. Let i(s) = 19*s + 7. What is -5*i(d) + 8*z(d)?\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*2*5 + 5 - ((sqrt(208) + -2*sqrt(208) + sqrt(208) + sqrt(208))*-6 + (sqrt(208) - (sqrt(208) + (2*sqrt(208) - sqrt(208)) + 3))))**2 + 5.\nAnswer: 1088*sqrt(13) + 60181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o + r + 20 = 0, r = 5*o + 43. Let b = o - -3. Let t be (2\/b)\/(1\/(-6)). Solve -15 - 4 = -4*x + f, -t*x = 5*f + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 (base 14) in base 10?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/33*-4*(8 + 696\/(-96)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9*k = x - 13, -3*x = 4*k - 1. Let p = 1 - 1.1. Which is the third biggest value? (a) p (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -t + 52 - 60, h = -3*t + 24. Solve t*f = 25*f + 108 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, r: 1}. What is prob of picking 2 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 17955*t**3 - 359400*t**2 - 1797500*t.\nAnswer: t*(t - 17975)*(t + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/20*-67)\/((-216)\/45) and 81\/460?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*w - 2*w - 208. Let f(t) = t**2 - 8*t + 14. Let a be f(w). Calculate the highest common divisor of 588 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.21 times 118446?\nAnswer: 735549.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + 11.96. Let d = p + 10. Let g = 21.9 - d. Which is the second smallest value? (a) 0 (b) g (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15475 + -0.8\nAnswer: -15475.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015114458575 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + n = -0*n - 19, -4*w - 15 = n. Suppose 0 = -2*j - j + 12. Put w, j, 1 in decreasing order.\nAnswer: j, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98153 = -2760*t - 31567 for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**2 + 12*z + 43. Is b(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 26031400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 4*t**5 + 6 + (-3*t**5 + t**5 + 0*t**5)*(7 - 2 - 2).\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3 = 17. What is the remainder when 19 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t**2 + 1042*t - 26935. What is f(36)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 159\/(-20)*(-2)\/3 and (-2)\/33*93\/(-62).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 125159, -2 in descending order.\nAnswer: 125159, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*m + 6 = -18, 11 = -u + 3*m. Let v = u - -5. Calculate the least common multiple of 8\/v*(-3 + 12) and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 19. Let k(z) = -2*z - 37. Let u(y) = -3*k(y) - 5*s(y). What are the prime factors of u(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*v - 12*v - 3*v**3 - 2*v**2 - 9*v**4 - 3*v**3 to the form g + k*v**3 + t*v**2 + l*v**4 + r*v and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4773550?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5\/57 (b) -2 (c) 0.221\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.189.\nAnswer: 0.0378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 6. Let d(f) be the third derivative of f**5\/60 + f**4\/4 + 2*f**3\/3 + 5*f**2. Let b(u) be the first derivative of d(u). What is b(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 31329. Let z(q) = 29*q. Calculate g(z(i)).\nAnswer: -58*i + 31329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 5:05 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*l**5 - 6760*l**4 + 264885*l**3 - 1237530*l**2 + 1184320*l - 204960 = 0.\nAnswer: 2\/9, 1, 4, 61, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.4 + -13. Let k = 1 - 1.1. Let t = 5.3 - 5.5. Which is the closest to k? (a) t (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 - -11 - (-461 + 489)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(500) - (0 + sqrt(500))) + sqrt(500))**2 + -3 + 4.\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-11))\/(l*l\/(l\/l**(5\/7))))\/((((l\/l**9)\/l)\/l)\/l**14) assuming l is positive.\nAnswer: l**(86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 96 - 104 = 0, 5*m = 6*n + 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8803286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*q + 1685 = -657, q = -3*r + 1747. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - g = -2*a + 180, 3*g = -2*a + 76. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10426*q + 45486 wrt q.\nAnswer: 10426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**3\/3 - 15*s**2\/2 + 11*s + 429. What is h(13)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 139*v**3 - 5*v**2 - 4*v + 8. Calculate x(1).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -51\/3431338 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1747041240669 and 28.4?\nAnswer: 1747041240640.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20359457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123031 - -2?\nAnswer: 123033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6364 and 12212?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -14.2, -3, -7398, -1\/9 in descending order.\nAnswer: -1\/9, -0.5, -3, -14.2, -7398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 49*y**4\/4 + y**3 - 86*y + 1. What is the derivative of p(d) wrt d?\nAnswer: 147*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9187870 equal to -9187868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 23231?\nAnswer: -69693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314192195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13932360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21429, -21418, -21407?\n\"Answer: 11*p - 21440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 936*v + 6394 + 158 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3514 + 2642 = -f, -4*m = -f - 24621. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -8*c - 59. Let r be j(-8). Suppose 33 = 2*n + 3*h, 0 = -8*n + 11*n + r*h - 50. Solve -w = n - 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -60. Suppose -2*x - k*x + 10 = 0. Suppose -f - x*f + 2*r + 203 = 0, -3*f = r - 218. List the prime factors of f.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 60. Suppose -6*a + 2*a - g = -t, 12 = 4*g. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -67, -132, -159, -118, 21, 288, 713?\n\"Answer: 5*y**3 - 11*y**2 - 67*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6485 to 2 dps.\nAnswer: 1.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**5\/450 + 53*z**4\/180 + 8*z**3 - 222*z**2 - 15*z. Suppose g(l) = 0. What is l?\nAnswer: -45, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 249.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 11 + 6 = 0. Let p = 28 - 25. What is the closest to p in -2\/13, 0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w**3 - 18*w**2 + 9*w - 285. List the prime factors of q(19).\nAnswer: 2, 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20654819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + -1 + 3 - (-4 + 1). Suppose o = o - l*o. Suppose -4*a = t - 129, o = -4*a + 4 - 0. What is the remainder when t is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 18*c + 49. Calculate d(8).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven halves of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -819920 - 53436 = 17*b - 63*b. List the prime factors of b.\nAnswer: 2, 11, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 123 + 7. What is the remainder when 74 is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-2*b + 3*b + 2*b + (0*b + 0*b + 2*b)*(-4 - 1 + 3) - 5*b + b + b).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158682105?\nAnswer: 3, 5, 47, 89, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 97, 351, 767, 1339, 2061?\n\"Answer: -f**3 + 87*f**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p - 84*p + 18*p + 42 + 39 + 41*p - 83.\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + t + 4 - 7, 5*i - t = -3. Sort -1, i, -5, 56 in decreasing order.\nAnswer: 56, i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4157299856 minus 4?\nAnswer: -4157299860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.046 - -54.046. Let x = c - 54.082. Let l = -0.118 + x. What is the second biggest value in l, 0.3, -8\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 115, 222, 329, 436, 543, 650?\n\"Answer: 107*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 10. Let g(u) = 2*u + 9. Calculate 2*g(c) + 3*n(c).\nAnswer: c - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 2*m - 1. Let q = 0 - 2. What is the units digit of y(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*21\/28 - (-4 + 1). Suppose -3*j - 3 - 3 = 0. Sort j, 5, g, 7 in increasing order.\nAnswer: j, g, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 43 = 3*x + 10, -x + 3*u + 25 = 0. Suppose 5*i - i = x, g - 15 = -3*i. Let h = 181 + -174. Solve h*b - 2*b = g*w + 7, 12 = 4*b + 4*w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:08 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 1740 + 1738. Let d(j) be the third derivative of 0 + 0*j - 34*j**o - 1\/4*j**3 + 1\/10*j**5 - 1\/32*j**4 - 1\/32*j**6. Find t such that d(t) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53105604 a multiple of 1964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -700756.\nAnswer: -700757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2.03. Let k = w - -0.53. Sort k, -2\/7, -1\/4.\nAnswer: -2\/7, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*d + 127 - 127)*(-2 + 0 + 3 + (-4 - 2 - 1)*(-3 + 6 + 2)).\nAnswer: -510*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 9. Suppose 2*l + 1 = -2*g + 9, l + 4*g = -5. Give y(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2763, 0, -13, 0.1, -0.48 in increasing order.\nAnswer: -13, -0.48, 0, 0.1, 0.2763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4424948011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 404067.2659 to the nearest 1000.\nAnswer: 404000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 27.56. Let f = v + 26.56. Let t = f - 25.9951. Round t to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.57145mg to nanograms.\nAnswer: 22571450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/123 (b) -0.3 (c) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17222 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 1717.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 629000233 a multiple of 1952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 392 + 5*z**2 + 17*z - 3*z**2 + 0*z**2 + 39*z.\nAnswer: 2*(z + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.826574kg in nanograms?\nAnswer: 6826574000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**3 - 53*z**2 + 205*z + 2066. Calculate j(-11).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*16*(-34)\/18360.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.42 - 0.52. Let z be 1 - -26*2\/(-44). Put 2, m, z in ascending order.\nAnswer: z, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 66 - 72 = 0. Let d(l) = 2*l**3 + 6*l**2 - 10*l - 10. What is the hundreds digit of d(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 3, g: 3}. What is prob of picking 1 b and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-450)*3*5)\/((-32)\/40)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 3. Suppose 3*f = 2*m + 4, f - 3*m = -9 + 1. Does 2 divide x(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344 divided by -43.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.3312 and 1.6.\nAnswer: 10.12992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {n: 7, o: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/4354 and 10\/150213.\nAnswer: 300426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-26)*h*h**(-27)*h)**(-8))**3 assuming h is positive.\nAnswer: h**1224","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 2*o**7\/21 + 8*o**6\/5 - 16*o**5\/5 - 38*o**4\/3 + 10*o**3 + 52*o**2 + 1705*o. Find p such that u(p) = 0.\nAnswer: -13, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2106)*-1*1)\/(2*-2*sqrt(200) - (sqrt(200) - (sqrt(200) - 1*sqrt(200)) - sqrt(200) - sqrt(200))*3).\nAnswer: 27*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*u + 787, -2*z - z + 588 = 3*u. Let d(l) = 11 - z*l**2 - 10 + 11 + 201*l**2. Let t(b) = -1. Give -d(f) - 12*t(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2 - 124*n + 31. Let c(s) = s**2 + 41*s - 10. Let u(j) = 6*a(j) + 17*c(j). What is the hundreds digit of u(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z - 4. Let c(d) = -d + 1. Let s(l) = 2*c(l) - p(l). Let u(y) = 2*y - 3. Let j(q) = 4*s(q) + 9*u(q). Differentiate j(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 1. Let v(c) be the second derivative of -c**3 - 3*c**2\/2 - 25*c. Let o(z) = 2*t(z) - v(z). What is the derivative of o(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -51.5. Let g = -10 + q. Which is the fourth biggest value? (a) 0 (b) -1 (c) g (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3017353 litres?\nAnswer: 301.7353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12*r + 33. Let v(k) = 57*k - 154. Let h(p) = -14*f(p) - 3*v(p). Let s(y) = 10*y. Let g(d) = -5*d. Let t(o) = 9*g(o) + 4*s(o). Calculate t(h(u)).\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/7947 and 43\/17985827.\nAnswer: 161872443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 707205 (base 12) in base 2?\nAnswer: 110101100010001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(80) + (sqrt(5) - (((sqrt(5) + sqrt(5) + -1 + sqrt(5))*2)**2 + sqrt(5))).\nAnswer: -184 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(33)\/(sqrt(11)*-3) - ((sqrt(165)\/sqrt(5))\/sqrt(11) - sqrt(3))) + -1*(-4*(sqrt(15) - (sqrt(15)*-2 - sqrt(15))))\/sqrt(5)))**2.\nAnswer: 8836\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 g when three letters picked without replacement from swswwusgwguw.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-14)*105\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1115, 4405, 9879, 17531, 27355, 39345, 53495, 69799?\nAnswer: 88251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1503706660 to the nearest integer?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (6 - 1)) + 4 + (19 - 4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8186*o**2 - 2898 - 8190*o**2 + 1491 + 1407.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + -3)\/(3\/10). Let r = 24 - -7. Let c = r + d. What is the remainder when 42 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.086 and 0.2.\nAnswer: 0.0172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 4*w - w)*(-1 - 9 + 6)*((2*w + 1 - 1)*(1 + 2*w - 1) - 28 - 7*w**2 + 28) in the form v*w + y*w**2 + p + u*w**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 1, w: 1, c: 1, j: 2, g: 1}. Give prob of sequence ooj.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.05 - -50.878. Round j to one dp.\nAnswer: 14.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (84*p - 13*p - 12*p)*(-532 + 532 + 12*p**2) in the form a*p**3 + l + z*p + j*p**2 and give a.\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 61\/((-1342)\/(-330)) + -9 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 r, and 2 w when four letters picked without replacement from {r: 1, w: 3, h: 1, n: 4, p: 6}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -654713 divided by -442.\nAnswer: 654713\/442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1397834 is divided by 698915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64740 and 18660.\nAnswer: 20134140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/40 - (-2484)\/(-10). Let a = n + 408. Suppose 18 + a = -2*y. Round y to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*o = -5*h + 38, -2*h + 32 = -4*o. Suppose h*u + 12285 = 41*u. List the prime factors of u.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o + 2982 + 3988 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/431? (a) 0.1 (b) -2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -524?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x - 1. Let g(r) = 7*r - 3*r**2 - 7 + 7*r**2 + 7*r - 6*r. What is -g(o) + 5*z(o)?\nAnswer: o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 867 or 1063?\nAnswer: 867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 418564813*w**6 - 5464*w**2 - 3*w - 2263 wrt w?\nAnswer: 50227777560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2c2 (base 13) to base 8\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55227 and 340.\nAnswer: 18777180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b + 3*b - b + 4*b. Let u(a) = a**2 - 15. Calculate c(u(x)).\nAnswer: x**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 133, 247, 435, 703, 1057, 1503?\n\"Answer: k**3 + 31*k**2 + 14*k + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31987911, -31987910, -31987907, -31987902?\n\"Answer: k**2 - 2*k - 31987910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((-7)\/((-28)\/8)). Which is smaller: 8\/11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -4, 2 in increasing order.\nAnswer: -6, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 619.033g in milligrams?\nAnswer: 619033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 12 = -0. Suppose -5*u + 26842 = p*x, -2*u + 3*u + 4*x - 5372 = 0. Suppose 12*h - 4*h = u. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (36 - 23) - 31 - -13.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 189155 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19125.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3007 - -3157. Which is greater: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + d**3 - 2*d**3 + (-4 + 5 - 2)*(-d**3 + 0*d + 0*d))*(-63 + 47*d + 63)*(-6 + 3 - 1).\nAnswer: 188*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37579101 or 37579103?\nAnswer: 37579103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91327.527 - 91268.52699856. Let s = y - 59. What is s rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (23 - (-2 - -11))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 15*w**2 + 10*w + 2. What is the units digit of u(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12455049 to the nearest integer?\nAnswer: 3529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 838*i + 37498 = 2*v + 834*i, 2*i - 74966 = -4*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85 + 93 - 179 + 58*s**2 to a*s**2 + l*s + o and give a.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddjjjdjjjjj. Give prob of sequence jdd.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -7*u**5\/2 + 77*u**4\/12 - 6*u - 1. What is the third derivative of a(f) wrt f?\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 16 = -3*k, -3*m + 194 - 181 = -2*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -159, -132, -105, -78?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 6*m + 1. Let d(z) = z**2 + 8*z + 1. Let n(f) = -3*f**2 - 39*f - 6. Let t(i) = 4*d(i) + n(i). Give -7*p(j) - 6*t(j).\nAnswer: j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 701768867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**4 - 56*z**3 + 196*z**2 - 136*z = 0. Calculate z.\nAnswer: -17, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133 + -2?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 8*x + 7. Suppose -27 = 3*u - v, -2*u + 3*v = v + 22. Let a be s(u). What is the highest common factor of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(((n**(1\/3)*n)\/n)\/n)*(n\/(n*n**18\/n*n*n))\/n assuming n is positive.\nAnswer: n**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 0. Suppose 0 = -4*w - 420 + 1656. Find the third derivative of -9*t**2 + 0*t**4 + 309*t**v + 4*t**4 - w*t**3 wrt t.\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -15*t - b, -5*b = 488*t - 491*t + 31 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*r + 251*r = -1976 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -757*q = -203*q + 3324 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -375, -5, 1, 2 in ascending order.\nAnswer: -375, -5, 1, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 138493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {y: 1, a: 2, e: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -21860 and -21863 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/300 and -149\/65330238.\nAnswer: 3266511900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 66446 in decreasing order.\nAnswer: 66446, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 339603 times -219?\nAnswer: -74373057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 181 - 74. What are the prime factors of u?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4db55 (base 14) in base 12?\nAnswer: -92a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 1)*3 - (-45)\/(-15). Is -21\/4 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 218*p + 185 + 111\/4*p**4 + 0*p**2 + 0*p**3. Differentiate z(j) wrt j.\nAnswer: 333*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83364546.\nAnswer: 2, 3, 383, 36277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -25*f + 238. Is m(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 - -120.01. Which is the second biggest value? (a) -3 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*n**3 - 6*n**2 + 9*n - 18*n**2 + 27*n**3 + 24*n**2 + 23 as b*n + j*n**3 + z*n**2 + o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6 = 4*y, 3*h - 8 = -3*y + 1. Let b = 3 + y. Solve b*v - 4 = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:54 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 124496699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6802599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 - 9*j**2 - 3*j - 20. Let r be n(5). Sort r, 5, -1.\nAnswer: r, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c852 (base 15) to base 3.\nAnswer: -110102220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h. Let g be x(2). Suppose 0 = -4*w, w + 12 = 3*d - 2*w. Sort g, d, -5 in decreasing order.\nAnswer: d, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 9*p - 1\/2*p**3 + 1\/15*p**5 + 0 - 11*p**2 - 1\/120*p**6 + 1\/8*p**4. Let k(i) be the first derivative of l(i). Calculate k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*a - 3 + 5 + (-3*a + 3*a + a)*(4 - 1 - 2) + 0*a + 5*a - 4*a + a - 2*a + 2*a.\nAnswer: 5*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/23387 or -1?\nAnswer: 9\/23387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1*((-50)\/5)\/10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1417665 and 3.\nAnswer: 4252995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -239 + 258. Let l(n) be the first derivative of n**4\/4 - 20*n**3\/3 + 19*n**2\/2 + 3*n - 11. Let f be l(m). Solve c = -f*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1510 + 2224. Solve -716*x - 16 = -j*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8371826 (base 9) to base 14\nAnswer: -8472a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40050 (base 8) to base 9\nAnswer: 24468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*q + 15 - 7 = 0, -3*p + 5*q - 12 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 30\/(-21) - 16*2\/4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -7*j**4\/24 - j**3\/6 + 48*j**2. Let b(i) = -2*i - 1. Let y(r) = -3*b(r) + s(r). Calculate y(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 5) to base 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3.44?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-783)\/(-870))\/((-16)\/16*6\/(-10)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 7 - 175. Let n = -13 + r. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4137162, 4137086, 4137010?\n\"Answer: -76*y + 4137238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 12:27 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.470353\nAnswer: -2.351765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in -0.3, -2\/7, 1.3, 19.605?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3099491 = -8*f - 15*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*z**3 - 1025*z - 43607.\nAnswer: 69*z**2 - 1025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 43004135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 817147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*p + 3*p. Let b = -3 - p. Let g be (-4)\/(-8)*(-1 + b). What is the closest to 0.1 in -3, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -5 + 4 + 5*15. Suppose -r = 49*j - 52*j. Is 25 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2 = 3*c + 7, 0 = -3*c + 5*w - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a. Let y(q) = 4*q**2 + 539*q + 1. Give y(n(w)).\nAnswer: 4*w**2 - 539*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 + 8*z - 1. Calculate c(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1301b4b (base 12) to base 8.\nAnswer: 16200453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-148)\/(-186) + -3. Let d = 4\/31 - j. Let l = -0.6 - -3.6. Which is the second smallest value? (a) 2\/25 (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/((-2)\/4). Let s(u) = -u - 6. Suppose -2*f - 5*g - 16 = 0, -16 = f + f - g. Let i be s(f). Which is the closest to i? (a) k (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -136582 != -136580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u. Let x(j) = -13*j + 1. Let q(w) = 5*t(w) - 2*x(w). Let y(a) = 2*a + 1. Determine -3*q(p) - 5*y(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -13.9. Sort g, -0.5, 0.4, 5 in ascending order.\nAnswer: -0.5, g, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16530085 is divided by 5510026.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*-2)\/(-3*sqrt(1152))*-2 + -4.\nAnswer: -4 - 2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(0 + 1\/(-2)). Let b = 0.23424 - 0.03424. Let q = -0.3 + -0.7. What is the nearest to q in -5, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1234240 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -18, -0.4, -2, 0, 78 in decreasing order.\nAnswer: 78, 0, -0.4, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.7 - -14. Sort -10, z, 2\/3 in decreasing order.\nAnswer: 2\/3, z, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 19 - 17 - -8. Which is the fifth biggest value? (a) -2\/9 (b) s (c) -75 (d) 1\/2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 229 + -164. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 - -116. Let w(k) = 20*k - 101. What are the prime factors of w(z)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/3 - 67\/21. Let x = h + 5\/14. What is the nearest to -1 in -2, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 9:53 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0359781 to 4 dps.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3417 (base 10) in base 6?\nAnswer: -23453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 523.\nAnswer: 23\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106882216.\nAnswer: 2, 7, 1908611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0807347 - -129.\nAnswer: 129.0807347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6163 + 203407\/33. Suppose 47 = 4*u - 93. Find the common denominator of 1\/(-12)*u\/15 and b.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*52334\nAnswer: -628008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -285 + 317. Solve -6*h - r + 2 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**4 + 82*c**3 - 171*c**2 + 88*c - 1. Let f(y) = -y**4 + y**3 + y - 1. Let v(n) = f(n) - s(n). Find a such that v(a) = 0.\nAnswer: -29, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 4. Let q be w(3). Let y be q*-1 - 203\/21. Let g = -169\/15 - y. Which is bigger: -6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhh when three letters picked without replacement from bbbehbbebbbhbb?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3681, -6877, -10073, -13269, -16465, -19661?\nAnswer: -22857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 15672*q - 109705. Calculate k(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 2*s**2 + 2. Let b be h(-2). Suppose -b*a - a = 2106009. Let u be (-3)\/(-18) - a\/(-18). Round u to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 96\/9 - 4\/6 - -1. Suppose -5*k + h*k = 2052. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0. Let j = 1.99 + 0.03. Let v = j + -2. Which is the smallest value? (a) d (b) v (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63533 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -20, -23, -24?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/(-275)*2 + ((-23952)\/22)\/(-4). Which is greater: r or 252?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19151 - -26675. Is 99 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 141151 and -422.\nAnswer: -59565722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571488 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1870 - -2325. What is the greatest common divisor of 260 and q?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-5) + 6\/10)*(417 - 418)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h + 457*h**3 - 427 + 3*h - 455*h**3 as j*h + x + u*h**2 + s*h**3 and give x.\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 29*w = 50 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/133 in -191\/4, 2, 0.1, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43263582 is divided by 10815894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**6 + 18285*t**5 + 2*t**3 + 4506*t**2 + 7.\nAnswer: 360*t**3 + 1097100*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 4. Let f(t) = -t + 1. Let x(g) = 3*f(g) + l(g). Let i(n) be the first derivative of n**2\/2 - 3*n + 74091. What is 2*i(b) - 4*x(b)?\nAnswer: 6*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 98729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 14*v**2 - 15*v - 9. Let t(q) = -3*q**2 + 3*q + 2. Give -11*t(l) - 2*w(l).\nAnswer: 5*l**2 - 3*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7 = -d, -2*t + t = 4*d + 18. Is (11\/2)\/(t\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -210136 and -0.05.\nAnswer: 10506.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v**2 + 13. Let g(z) = -137*z. Give g(j(q)).\nAnswer: -1370*q**2 - 1781","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34461.99983893 - -34462. Round r to six dps.\nAnswer: 0.000161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*i)*(-7*i**2 - 10 + 10 + i**2 - 5*i**2 + 2*i**2 + (2*i + 0*i - i)*(3*i - 3*i + 5*i)) as v + h*i + n*i**2 + c*i**3 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 6*f**2 - 20*f - 120. Calculate n(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**3 + 31 - 5*p**2 + 4*p + 7*p**3 - 4*p**3 + 6*p**2. Calculate the remainder when t(0) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 248638, 994698, 2238184, 3979096?\n\"Answer: 248713*n**2 - 79*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 10*i + 4. Let s be f(-10). Let z(p) = 3*p + 0*p + 0*p. Let r be z(s). What is the highest common factor of r and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (97328 - 97328 - 186*j)*(j**3 + 5*j - 5*j) to the form w + z*j**3 + p*j + x*j**2 + a*j**4 and give a.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 181230 and 61782.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.57 - -2719.57. Let h = o + -2549.1. Round h to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.2801 millilitres in litres?\nAnswer: 0.0232801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 34. Determine c(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -2*y**6\/15 + 11*y**3\/6 + 5*y**2 - 15*y. Let n(a) be the first derivative of r(a). Find the first derivative of n(u) wrt u.\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(126)\/sqrt(6))\/(-1*sqrt(567)).\nAnswer: -2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1)\/((f\/f**20)\/f) assuming f is positive.\nAnswer: f**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 10:40 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 26409.473 to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnb when three letters picked without replacement from {b: 2, r: 8, n: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 25, 21, 4, 0.3, -3\/7, -2\/11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 160478057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-33))\/((-200)\/16).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/105)\/(27\/810).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 7*s**4\/12 - 11482*s. Let n(f) = -60*f**2. Calculate n(p(q)).\nAnswer: -2940*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -11*f**2 - 2*f - 19. Let a(q) = -18*q**2 - 5*q - 32. Let d(o) = 3*a(o) - 5*w(o). Suppose 0 = 2*n - 6 - 4. Calculate d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54\/41 - -97\/82. Let h = -8 - -12. What is the nearest to 2 in h, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-4 + 3 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from zggzzggzgzgg.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 39*a**2 - 11*a**3 + 30*a + 10*a**3 + 2*a**3 - 30 + 7*a. Is t(-37) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpk when three letters picked without replacement from kkpu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581030 = -90*f - 104*f. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2732428\/5 or -546486?\nAnswer: -546486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmw when four letters picked without replacement from {w: 4, r: 4, m: 8}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -797*q - 410 = -397*q - 318*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-29)\/6 + 13\/(-78))*(-8)\/(-130). Sort -5, t, 25 in decreasing order.\nAnswer: 25, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 109, 4, 1, 0, -75.\nAnswer: -75, 0, 1, 2, 4, 109","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 1:29 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/24*(-6)\/(-9). Suppose 31*z + 195 = 12*z + 176. What is the closest to z in x, -2, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x + 7. Let g(b) = -b**2 + 5*b + 3. Let r be g(4). Let d(p) = -20*p + 25*p - 18*p + 5 + 18*p. Determine r*d(j) - 5*h(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -144, 0, -25, -8.74?\nAnswer: -8.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3645*a - 1822*a - 1824*a. Let t(w) be the second derivative of -w**3\/3 - w**2\/2 - 9*w. What is t(c(p))?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 = -4*v + 7*v. Let k be 3\/5 + v\/110. Solve -2*t + k = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r - 10. Let f be g(-7). Suppose -f*a = -24 - 4. What is the remainder when 34 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/36582617201829 - 53264693054662905539\/390022646687923737180. Let b = k + -9\/23177. What is the common denominator of b and -71\/14?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(189)\/(-2*sqrt(3)) + sqrt(567)*5).\nAnswer: 87*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -139*t + 1. Let c(y) = 2573594*y. Determine d(c(m)).\nAnswer: -357729566*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9289*t + 2085*t + 422 - 422 to the form g*t + b and give g.\nAnswer: -7204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 205*n**4 - 675115*n**3 - 1862390*n**2 + 494400*n = 0. Calculate n.\nAnswer: -3, 0, 10\/41, 3296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 607\/2 + -1509\/5. Calculate the common denominator of q and -37\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 1)*(7*a**3 - 7*a**3 - 26*a**3 + (-1 + 1 - a)*(2*a**2 - a**2 - 3*a**2)) in the form t*a**2 + o*a**3 + n*a + h and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**5\/60 + 5*s**4\/12 + s**3 + s**2. Let a = -20694 - -20684. Determine c(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 5*j - 7. Let h be g(-5). Let p = -3 - h. What is the third derivative of p*r**2 + 3*r**5 + 0*r**3 + 0*r**3 wrt r?\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62700 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 3. Let m(b) = -8*b**2 - 7*b - 7. Let x(h) = -3*h**2 + 2*h - 23. Let r(w) = 4*w**2 - 3*w + 32. Let y(v) = -5*r(v) - 7*x(v). Give n*m(i) + 42*y(i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nenjrrr. Give prob of picking 2 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -33*l**2\/2 + 15*l + 6813. Let d(m) = 16*m - 7. Calculate -13*d(u) - 6*h(u).\nAnswer: -10*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -78, -107, -122, -117, -86, -23, 78?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*k + 56 = 203 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*y - 3*i - 2331 = -76*y, -2*y + 922 = 4*i. What are the prime factors of y?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3284, 6561, 9834, 13103, 16368, 19629, 22886?\n\"Answer: -2*n**2 + 3283*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)*h*(h\/h**(-7))\/h)\/((h**(-6)*h)\/h**(-1\/9)) assuming h is positive.\nAnswer: h**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65935.\nAnswer: 5, 13187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - -28585790?\nAnswer: 28585811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 q when four letters picked without replacement from {d: 3, q: 1, l: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o + 71. Calculate u(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1 - p**2 + 7*p + 10*p**2 + 9*p**2. Let n(t) = -18*t**2 - 6*t + 1. Let g(c) = -6*l(c) - 7*n(c). Differentiate g(i) with respect to i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 23*k. Let m(i) = -3*i + 11. What is m(r(s))?\nAnswer: -69*s + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 3, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2895474 and 131\/102?\nAnswer: 2895474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - ((6 - 15) + 11 + 8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 625*o + 17982. Determine y(26).\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11332665 (base 7) to base 13.\nAnswer: 290130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/4 - (-10 - -1). Let z = m + -3. What is the second derivative of x**z + 3*x - x**2 - 7*x - 19*x**3 wrt x?\nAnswer: -114*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505051 a multiple of 568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -155.15628 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d. Let x(v) = 12*v - 2. Let k(h) = 11*h - 3. Let z(i) = -2*k(i) + 3*x(i). What is z(t(w))?\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 12*m - 12. Let y be c(-7). Let u = y - -16. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0955 and 0.4.\nAnswer: 0.0382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 5*k + 2*k - 2)*(2*k**2 + 3*k**2 - 3*k**2) - 11*k**3 - 49*k**3 - 32*k**3.\nAnswer: -98*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 + 18 = 0. Suppose -4*c = -c - a. Suppose c*h - 175 = -0*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2660 is divided by 2413.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 281*f**2 - 18*f + 40. Let g be u(2). Calculate the highest common divisor of 7050 and g.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 2*a**3 + 20 + 0*a**3 - 4*a**3 to h*a + x*a**2 + k*a**3 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 856 = -911. Calculate the remainder when t is divided by 45.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(2*c - 1 + 1) - 20*c - 2*c + 0*c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356, -715, -1074, -1433, -1792?\nAnswer: -2151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*83\/249)\/(-47*(12\/(-4))\/9).\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 7 + 0)*(6*h + 5*h + 4*h) as w + x*h and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + k - 5*k - 89*k**3 - 46*k**3 - 40*k**3 to c*k**3 + i + o*k + x*k**2 and give c.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382112 divided by 1.\nAnswer: -382112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, r: 3, l: 5}. Give prob of sequence llrr.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/21 + 2*k**3\/7 + 46*k**2\/21 + 22*k\/7 + 4\/3 = 0. What is k?\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*l, -u = -2*u + 4*l - 8. Suppose u*x - 246 + 62 = 0. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -66\/545?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 32 (b) -3 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 6:39 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 37*r**2 + 69*r - 420. What is the ten thousands digit of j(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9714 + -1.01661. Let p = 29 + -29.046. Let r = d - p. What is r rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60012334, -120024667, -180037000, -240049333, -300061666?\nAnswer: -360073999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3485 is divided by 438?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11000 and 34760?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by -2 + 123*2\/6?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + t - 28. What is g(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 2. Let m(i) = i + 1. Let w(j) = -h(j) - 4*m(j). Suppose 5*g + f = 5, g - 2*f = -0*f + 12. What is the remainder when g is divided by w(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 5*d**2 - d - 5. Let z be r(-5). Let b(s) = -2*s + 54. Does 18 divide b(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3 (c) -1 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 151 times 2779\nAnswer: 419629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(-3 + 2*c**3 + 3) + 2 - c**3 - 2 + 2*c**3 + c**3 + c**3 + 0*c**2 - 15*c**3 + 12*c**2 + 13*c**3.\nAnswer: 3*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6284*z - 19. Let a(b) = 7*b + 5. Calculate 4*a(d) + o(d).\nAnswer: 6312*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2309 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n**2 + 12*n - 74. What is the hundreds digit of w(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 5:52 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 8*g**2 + 5*g + 4. Let u be l(7). Calculate the highest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12031123 + -4?\nAnswer: -12031131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1022 or 1020?\nAnswer: 1022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1163 (b) -2\/33 (c) -1\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2 + 32*b**2 - 27*b**2 + 0 + 1. Calculate k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 801124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -2\/13, 4009, -0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 15*r - 34. List the prime factors of p(-32).\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 59158*y\/3 - 81122392\/3.\nAnswer: 2*(y - 1313)*(y + 30892)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 2*n**2 + 12 - 3*n**2 + 3. Let s(y) = -4*y**2. Give s(i(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1242732?\nAnswer: 2, 3, 103561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25102.\nAnswer: 2, 7, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/8)*q**(-2\/3)*q**(2\/11)\/(q\/(q\/q**(4\/9)*q*q))*(((q**(-1\/4)\/q)\/q)\/(q**(-1\/2)\/q))**11 assuming q is positive.\nAnswer: q**(-5587\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 36 - 6*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/(-1*sqrt(6)))\/((sqrt(35)*-4)\/sqrt(7)))**2*-5*-4*6.\nAnswer: 165\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -437, -66, 5, -3 in decreasing order.\nAnswer: 5, -3, -66, -437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -287531.86 rounded to the nearest 100?\nAnswer: -287500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5785 by 1.\nAnswer: -5785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 646819574 times 0.5?\nAnswer: 323409787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -1. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166161, 169628, 173099, 176574?\nAnswer: 180053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -56. Let k = 75 + y. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/14)\/n**(2\/13))**(3\/8))**(12\/11) assuming n is positive.\nAnswer: n**(-135\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 16*d - 54 = 0. Let t be (d - (-20)\/(-8))*0. Solve t = -19*j + 22*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8060 divided by -4030?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/((v*v\/v**(-2\/7))\/v*v))**28*(v\/((v\/(v*v**8*v))\/v))\/v**0)**(-2))**(1\/27) assuming v is positive.\nAnswer: v**(-62\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/18)\/((-268)\/(-128439)*24\/(-16))?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375340 rounded to the nearest 1000?\nAnswer: 375000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91 + 235. Suppose -5*w + s = -16. Let b(y) = -4*y**3 - y**2 + 6*y + 60. What is the remainder when b(0) is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142068700 rounded to the nearest one million?\nAnswer: -142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1085280 and -163\/4080.\nAnswer: 1085280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 34 (b) 2 (c) -1\/6 (d) -5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from uqququruquurqyrcrru?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - m**2 - m + 1. Let j(v) = -22*v**3 + 3*v**2 + 3*v + 10. Let i(k) = -j(k) - 3*o(k). Differentiate i(y) with respect to y.\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r - 19*r + 1197 = 16*r for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1154219 - 1666422. Let n = s + 1116203. What is n rounded to the nearest ten thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3940055762?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 7*p**2 + 8*p - 1. Let n be z(-8). Let l be 5*n*(-12)\/15. Let d = l - -7. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 35\/37274743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1466, 11 in descending order.\nAnswer: 11, -21, -1466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 - -82. Suppose -w = -5*w - r + i, 0 = 2*w + 3*r - 10. Solve w = -3*c - 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f - 5*f + 4*f + 2*f + 0*f + 0*f + (0 - 2 + 4)*(-1 + 1 + 2*f) - 2 + 96*f - 42*f - 32*f in the form p + l*f and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 5645?\nAnswer: 5646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/(-60) - 4\/70*-93. Let m = h - 5. Let f = 5.3 + -5. What is the nearest to m in 10, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136633*d**3*n**3 - 7*d**3*n**2 - 1323204*d**3*n + d*n**3 + 3*d*n**2 - 267*n**3 wrt n?\nAnswer: -819798*d**3 + 6*d - 1602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3 + 838*l**2 + 14334359*l - 25450312992 = 0. What is l?\nAnswer: -4128, 2483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m - 2*m + 298 = -105 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2779*d - 6718 - 2780*d + 191*d**2 - 38*d**2 with respect to d.\nAnswer: 306*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 3*q**6\/8 - 29*q**5\/20 - 3*q**4\/16 + 29*q**3\/12 - 3*q**2\/4 + 177. Solve v(b) = 0.\nAnswer: -1, 0, 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*z = -16*z - 5852. Calculate the highest common divisor of z and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -21. Suppose 50 = -3*t - k - 5, -4*k - w = 0. What is t rounded to zero dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 5:49 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000489 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y**2 + y**3 + 9 - 2*y**2 - 10*y + 5*y**2 + 17. Let i be m(-12). Solve -i*j - 6 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -600*m**4 + 2*m**3 - m + 605*m**4 + 0*m to the form b*m**4 + y*m + i*m**2 + q*m**3 + r and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, -3, -2\/5203?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 4916*k**2 + 4904*k - 9824.\nAnswer: 4*(k - 1)*(k + 2)*(k + 1228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*v**3 + 0*v - v**2 + 1\/3*v**4 + 0.\nAnswer: v**2*(v - 1)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50447 - 0.565\nAnswer: -50447.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 2*x**3 + 31. Let l(o) be the third derivative of o**5\/60 - 3*o**2. Give l(g(r)).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22454 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: Solve m + 79 - 125 = 4*p, 0 = p + m + 9 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192023?\nAnswer: 13, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**21*g**(1\/5)*(g*g**(-8)*g)\/g*g*g*g*g\/(g*g*g\/(g**(-3\/10)\/g))*g*g assuming g is positive.\nAnswer: g**(159\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - -100?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k - 5 = 0. Let c be k*((15 - 0) + 0). Let j(g) = 2*g**3 + 75*g**2 - 341*g - 11525. Let x be j(-38). Is c at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -14, 2, 139, 0 in decreasing order.\nAnswer: 139, 2, 0, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 418429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39853.34 millennia to months.\nAnswer: 478240080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 10 = 4*t, -6*x + x - 4*t = 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b5439 + -3?\nAnswer: -b543c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -24*b**3 + b**2 - 1. What is the remainder when 46 is divided by v(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-31 - (28 - 49))\/(-40). Let i = -0.1 + 1.1. What is the closest to t in 1\/3, -3, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4411896 divided by 24?\nAnswer: 183829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302253231?\nAnswer: 1109, 1174259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:53 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 94\/2 + 1. Suppose 0 = -5*l - z + 536, c = l + 3*z - 50. Suppose -447 - 813 - 2223 = -129*x. What is the highest common divisor of l and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + w - 94 + 78*w**2 + 134)*(-1 + 0 + 4).\nAnswer: 234*w**2 + 3*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -6*t + 8*t. What is the units digit of (t - 0) + (-275)\/(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1836 and 16517574?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 6*n - 18*n - 26 = -9*n, 4*n + 3 = p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17164162 is divided by 138?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 860838819 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*r + r + 28, -r = 2*g - 4. Let t(q) = 2 + 6*q**2 + 2*q + 0*q**2 - g*q**2. Let c be t(-2). Solve -x = -b + c - 1, -4*b + 10 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 281*i**7\/210 + 9*i**5\/4 + 997*i**2. Find the third derivative of g(r) wrt r.\nAnswer: 6744*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from asasawwlaawws?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12395 + -7353. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flfd. What is prob of picking 1 l and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z - 5*z)*(4 + 0 - 2).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:04 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = 6*b - 26*b + 15*b. Solve 14 = -2*q + 3*v, b = -5*q - 41*v + 38*v + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 5, -1\/7, -17, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3\/13 - 2118*m**2\/13 - 555408*m\/13 + 2830240\/13 = 0.\nAnswer: -532, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 793 and 754?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -218, -326?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/7, 3\/7, 2059, -830 in decreasing order.\nAnswer: 2059, 4, 3\/7, -1\/7, -830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3. Let x(y) = -10*y**3 - 7*y**3 - 9*y**3 + 27*y**3. Let u(c) = -c**2 + c - 7. Let f be u(0). Let d = -3 - f. Give d*x(n) - h(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -w - 0*w + 19, 30 = 2*w + 4*l. Which is smaller: 11\/2 or w?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/7 - 9918*l**2\/7 + 318144*l\/7 - 2547200\/7.\nAnswer: -(l - 16)**2*(l + 9950)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - 9*x - 20*x**2 - x.\nAnswer: -20*x**2 - 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*2 - (-7)\/(-6). Let m = -0.3 - 0.7. Which is the second biggest value? (a) m (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 17*m - 4. Let h(f) = -84*f + 21. Let q = 2769 - 2790. What is q*d(p) - 4*h(p)?\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1719 - 893. Let c = s - 825.87. What is c rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5592, 7131, 19854, 32577?\nAnswer: 45300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3881 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 366*k**3*p**2 + 29627*k**3*p - 23480675*k**2*p**2 wrt k?\nAnswer: 2196*p**2 + 177762*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 + 157618*f\/5 - 6210858481\/5.\nAnswer: -(f - 78809)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 3*u**2 + 5*u - 2. Let w be b(2). Solve w = -z + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6 = 4*z - 4, 3*z = -5*u + 5. Let x = z + -3. Suppose 1 = -x*c + 9. Sort c, -4, -3.\nAnswer: -4, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 2*o**2 - 2*o)*(0*o + 0*o - o) + 25 + 20243*o**3 - 20227*o**3 + 8 to the form y + z*o**3 + r*o + j*o**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -103 or -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 9*o = -4*a, 20 = -5*o - a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*u + 103*u + 8*u**2 - 67*u to a*u**2 + z*u + s and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -14*a - 159. Let g be u(-11). Let t(m) = -10*m + 20. Let l be t(g). Calculate the highest common divisor of 140 and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, k: 5, j: 5}. What is prob of sequence hjjj?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 295*q + 4320.\nAnswer: 5*(q - 32)*(q - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 322 + 257571?\nAnswer: 260113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2 - 5*d**2 - 11*d**2 + 17*d**2 + 4. Let v be f(-8). Let n = v - 35. Calculate the remainder when n is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 10:50 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 54*b**3 - 204 + 367 + 20*b**3 - 164.\nAnswer: 74*b**3 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1765\/2 - -884. Let l(s) be the first derivative of -5 + 0*s**3 - 3\/16*s**4 + g*s + 9\/8*s**2. Solve l(h) = 0 for h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 11*t**2 + 21*t - 190. Calculate r(13).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08, -6\/7, 7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m - 3*m + 0*m + (-2 - 3 - 4)*(-5*m + 2*m + 4*m + (-2*m + 3*m + 0*m)*(3 - 3 - 2) + 2*m + 0 - 2 + 0*m + (0 - 1 - 1)*(-2*m - 3 + 3)).\nAnswer: -50*m + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i + 14*i + 676*i**2 - 1685*i**2 - 1095*i**2.\nAnswer: -2104*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -168, -191, -214?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -526587*s + 336387 wrt s.\nAnswer: -526587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 81 - 96 = 0. Let i = -3 - 9. Let o be ((-26)\/i - 2)*22. Is a less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**4 - 6*n**3 + 1910*n**2 + n + 81099.\nAnswer: 8*n**3 - 18*n**2 + 3820*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 337943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 - 11*l**2 - 7*l**2)*(-4 + 4 - 4*l)*(l**2 + l**2 + l**2).\nAnswer: 276*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/3)\/((-55)\/(-55))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3 - 19 = -4*j, -2*f - 9 = -j. Let c(w) be the third derivative of -w**5\/60 + w**4\/4 - w**2. Let z be c(j). Solve q - z = -0*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25141000 rounded to the nearest 100000?\nAnswer: -25100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 16. Let k(a) = 2 - 4*a + 4*a**2 + 10*a**3 - 9*a**3 + 0. Determine k(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1617189561 and 1521?\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79440037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105 - -131) + 10 + -2 + -1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 185638952 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: Is 6 a factor of 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 9*q**2 + 8*q + 6. Let z be j(-8). Let n(v) = -32*v + 3. Let r be n(-4). Find the common denominator of 3\/4 and 1\/(-6) - r\/z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z - 7. Let g be o(-6). Let d = -12 + g. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 137 + 10800?\nAnswer: 10937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.6 + -15. Let r = 1.62 - d. Which is the closest to -1\/2? (a) -5\/3 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-131*w + 242*w + 197*w + 193*w)*(3 - 1 + 4) as b*w + u and give b.\nAnswer: 3006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 9 = -3*g. Let y = g - 0. Let x(c) = -c**2 - 5*c + 8. Let z be x(-6). Solve 2*h - v - 1 = -0*v, 0 = y*h + z*v - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11998 + 49*h**3 - 11998.\nAnswer: 49*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -u - 15, -6*k - 25 = -k - 5*u. Let d = -17 - k. Calculate the remainder when 25 is divided by -1*(-2)\/d - 279\/(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7}. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7487, -14948, -22411, -29876, -37343, -44812?\nAnswer: -52283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6553\/220 + 119\/4. What is the common denominator of -53\/40 and r?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -g + 19, -v + 12 = 3*v. Let u = g + 0. Calculate the greatest common divisor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -20?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - j = 5, q + 6*j - 10 = 8*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 33)\/(1492\/(-296) + 5). Let y be 4\/14 - c\/518. Suppose -4 = -2*f - 0. Solve 3*u + 0*q = y*q + 2, 0 = -3*u - f*q - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49 and 70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0*x + x)*(87 - 27 - 171 - 103 - 124).\nAnswer: -1014*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 174 + 18. What is the common denominator of w\/21*3 + 2 and 55\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5320*-320.\nAnswer: -1702400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7936 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 6*t**2 - 8*t - 5. What is y(-6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 = 0, 4*b - 4 = 5*i - 0. Let p be i + -3 + (-46)\/(-14). What is the closest to 0.1 in p, 2\/3, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, c: 2, z: 1, j: 1, h: 1}. Give prob of picking 1 h and 1 j.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 161 - -633. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 30011475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + 45. Let z = -68238 + 68253. What is the highest common factor of z and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117 - -131.5. Let u = 14.6 - w. Is u greater than or equal to 135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68419\/168 - -1223\/3. What is the common denominator of 105\/92 and a?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -9. Let m(h) = h**3 - 6*h**2 - 15*h - 9. Let q be m(c). Which is bigger: q or 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1958 + 2441. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 578, 396, 214, 32?\n\"Answer: -182*j + 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 323102532?\nAnswer: 323102535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*d**2 - 12*d**2 + 30*d**2 + 38*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000512 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1 = -2*x + 2, -2*o = x + 2. Let n(k) = -k**3 - k**2 + 2*k + 29. List the prime factors of n(x).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/10)\/((-2)\/(-10)). Let s be (-8 - f)\/(1 + -3). What are the prime factors of s*2 - (1 - 16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g + 0 + 0 + 0*g - 3*g + 2*g + (g + 2*g + 0*g)*(-3 + 3 + 1) to m + d*g and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 10. Let s be q(10). Suppose -6*v + 72 + 6 = s. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, -3, 3198\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1717161, 3434304, 5151425, 6868512, 8585553?\n\"Answer: -2*n**3 + n**2 + 1717154*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o**4 - 18*o**3 + 57*o**2 - 9*o - 6 = 0 for o.\nAnswer: -2, -1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23019, 45525, 68031?\nAnswer: 90537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 4*t**2 + 4*t - 2. Let p(z) = -z**2 + 5*z + 16. Let h be p(7). Calculate u(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 not equal to -399014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -82, -189, -330, -499, -690?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.074336 years?\nAnswer: 0.004074336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4098)\/1695 - 300\/(-500).\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - ((sqrt(432) + 0 - sqrt(432)) + 1 + sqrt(432) + sqrt(432))) + 1.\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z + 61. Let a(u) = -15*u + 249. Let f(w) = 6*a(w) - 22*y(w). Let v(g) = 5*g**2. Calculate f(v(x)).\nAnswer: -10*x**2 + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 8*a - 24. Let m be o(10). Let h(z) = z**2 + 5*z - 20. Let l be h(-7). Sort m, 3, -2, l.\nAnswer: l, m, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 115 - 164460?\nAnswer: -164342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + sqrt(14))*-5)\/(sqrt(10)\/(-1*sqrt(5)) - sqrt(2)).\nAnswer: 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*a - 2304, 0 = 2*u - a - 645 - 1651. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 + (50 - 65 - 33)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 2 = 4*r - 4*n, 4*n = r. Suppose o - f + r = 3*o, 5*f + 40 = 5*o. Solve -3*v + 5*v - o*y = -18, v + y = -3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 0\/(-2))*7. Let z be -2 + 8\/6*3 - -4. Let a(k) = -2 - 14*k + z*k + 7 + k**2. Determine a(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*r - 21, -14*r = -18*r - 5*z + 15. What is the second smallest value in r, 0.5, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**3 + 29*v**2 - 12*v - 42. Calculate p(-8).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 803908402 to the nearest integer?\nAnswer: 28353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -153 - -152.95. Put -4, 3, c, -4\/7 in descending order.\nAnswer: 3, c, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.067 - 0.967. Which is the closest to n? (a) -5 (b) 3 (c) -10 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvrkkvprvbpvbko. Give prob of picking 1 o, 1 r, 1 v, and 1 k.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10*(-2)\/(-3)*9\/6. Which is smaller: -590 or x?\nAnswer: -590","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.431 (b) -6\/19 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*m**4 + m + 348 wrt m.\nAnswer: 16*m**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5 (b) -17 (c) -4 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 5\/3, 4, 0, -0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/4 + -3\/8. Sort -2, h, 4, 1 in ascending order.\nAnswer: -2, h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13196 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 + x**4 + x**4 + (-2 + 2 - 2*x)*(-5 + 5 - x**2)*(2 - 2 - x) + (0 + 0 - 2*x**2)*(2*x - 2*x - x**2) - 74*x**4 - 18*x**4 + 58*x**4.\nAnswer: -35*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 r, and 1 n when three letters picked without replacement from ntrztzrtteetentterre?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 87.682 and 22464?\nAnswer: 22376.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -5\/6*o**3 + 0 + 0*o**4 + 0*o**2 - 2\/5*o**6 + 0*o**5 - 12*o. Find the second derivative of d(h) wrt h.\nAnswer: -144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, l: 3}. What is prob of sequence alal?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2. Let z(u) = -6*u - 8. Let r be z(-6). Let g(d) = r - 28 - 2*d**2 + 16*d**2. What is v(g(a))?\nAnswer: 196*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10058 - -42715. Suppose 214 = -13*s + n. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7736, -8289, -8842, -9395, -9948, -10501?\nAnswer: -11054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 divided by 2?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z = 40. Let k(h) = -h - 8. Calculate the lowest common multiple of k(z) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 13*n = 244. Let a = n - 26. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (55\/(-4) - (-1)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: be43 (base 15) to base 14\nAnswer: 109b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 207, -5 in decreasing order.\nAnswer: 207, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - 7*o**2\/4 + 21*o\/2 + 54.\nAnswer: -(o - 6)*(o + 4)*(o + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = l - 35. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/3 - -43\/6. Is i less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*d - 22311 = -18023 + 29417 for d.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 204, 810, 1832, 3276, 5148, 7454, 10200, 13392?\n\"Answer: u**3 + 202*u**2 - 7*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(78)*-5 + -2*1*sqrt(78) + sqrt(78))\/(5*-1*sqrt(384)).\nAnswer: -sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, u: 6, l: 1, b: 4}. What is prob of sequence ls?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 23507.22832 to 0 dps.\nAnswer: 23507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6701, -6700, -6699, -6698, -6697?\n\"Answer: x - 6702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.661 * 104090\nAnswer: -68803.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**6\/12 + 25*a**5\/12 - 235*a**4\/24 - 175*a**3\/3 + 3*a**2 - 73*a. Solve z(c) = 0.\nAnswer: -14, -1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6\/4*(-3082992)\/(-792)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*n + 579 = 0, -3*k - 14*n + 16*n + 440 = 0. Let z = k + -145. Let v(x) = 12*x - 12*x + z + 0*x - x. Let l(s) = -6*s + 5. Give l(m) - 3*v(m).\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60584?\nAnswer: 2, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1010553 to 4 decimal places.\nAnswer: -0.1011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 146, 282, 490, 794, 1218?\nAnswer: 1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5. Suppose -l + 2 + 1 = h. What is the second derivative of 11*r**3 + 3*r**5 - 11*r**l + r wrt r?\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -19 (b) -0.4 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8477 + -8485.6416. Round m to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3, -4*g - 2*r = -4*r + 102. Let j be 10\/g + (-44)\/(-10). Suppose 0 = 3*z - 8 - j. Solve l = z*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from xcununccuuxxcguuu.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 9 - 6)*(-1913*r + 4148*r - 1864*r).\nAnswer: 4823*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 37, 70, 127, 214, 337, 502?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12986506 - 0.089?\nAnswer: -12986506.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -7. Is (-1)\/2*6 + m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 - 23*a + 16. What is the remainder when m(9) is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/54*3\/(-2). Let x(i) be the first derivative of y*i**3 + 0*i**4 - 1\/24*i**6 + 1\/8*i**2 + 0*i - 1\/10*i**5 - 2. What is o in x(o) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uasiiuuuudhaddd. Give prob of sequence diiu.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1293619830.\nAnswer: 2, 3, 5, 43120661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277 = -3*m + 317. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -cb?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9227791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 24. Suppose 191 + 109 = i*c. Is c a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 4*h + 1. Let d be a(4). Differentiate x - 1 - 2*x + d - 5 with respect to x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4 + 11*f**3 + 26*f**2 + 16*f = 0. What is f?\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.19 - 1.81. Let v = 7 + -3. What is the second smallest value in v, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y - 16. Let v be s(-9). Is v\/(-14) + 36912\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47844545 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.45*-3.85\nAnswer: -1.7325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssdsss. Give prob of picking 3 s.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 1:25 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + -30?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 16. Let d be (6 - b)\/((-1)\/10). Let t = 34 + d. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 637 - 22a6?\nAnswer: -1b6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 7:32 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + o + 14 = 0, o - 15 - 6 = 4*i. Let t(j) = -j - 3. Let a be t(i). Is (133 - a) + (-3 - -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**5 + 157720*s**4 - 3471488*s**3 + 11362176*s**2 = 0?\nAnswer: -39452, 0, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 1)*(-2*n**3 - 5*n**2 + 5*n**2)*(10*n - 8*n + 8 + 0).\nAnswer: -16*n**4 - 64*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43.891437 * -5.\nAnswer: -219.457185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.115 - 0.115. Let d = 2\/123 - 43\/123. Let g = -730\/7 - -104. Which is the nearest to d? (a) -0.4 (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*u + 5371 - 3051 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5822 is divided by 725.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, 127 in ascending order.\nAnswer: -2, -0.1, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -11*y. Let f(m) = m - 1. Let r = -16 + 10. Let i(l) = 7*l - 6. Let h(s) = r*f(s) + i(s). Determine k(h(z)).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z + 90. Determine s(3).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 410750 and 2790?\nAnswer: 3696750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 4780*t + 1142420.\nAnswer: 5*(t - 478)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6\/117*2457\/756\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 4. Let x be w(2). Suppose b = -0*n - n, n = -4*b + 6. Let g be x\/(-4) - b\/(-12). What is the closest to 0 in g, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 166 - 71. Suppose -9*s = -4*s - d. Suppose 0 = 5*z - 2*r - 646, -4*z = -3*r - 248 - 266. Calculate the remainder when z is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -493, 2\/3, -3, -1, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 637\/(-364) - 13574\/(-8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 15. Suppose -f*d + 8 = -d. What is the remainder when 11 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.06 + 0.2. Let k = 12 - 17. Let s = g - k. Round s to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2. Let j(i) = -18*i + 30. Calculate v(j(h)).\nAnswer: 648*h**2 - 2160*h + 1800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u - 4. Let x be b(-10). Let v be 8\/x*(317 - -1). Let c = 466 - v. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 2:03 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7757 + 7687 = -5*d - 5*f, -2*d + f = 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 1422 = 4*p - 5*g, 2*p - 3*g - 738 = 0. Suppose -371*a = -p*a + 17. What is the remainder when 27 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -10*f**2 + 2*f - 2. Let i(t) = t**2 + t - 1. Calculate -a(s) + 2*i(s).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**6\/120 + m**5\/15 + m**4\/6 + m**3\/2 + m**2. Let c be y(-2). Suppose c*j + j = 8. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -4. Let i be (-3 - f)*(-10)\/(-4). Let s(p) = p**2 + 6*p + 3. Let d(v) = -2*v**2 - 12*v - 6. Let r(k) = -6*d(k) - 11*s(k). Give r(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(162)*-3*-3 + (sqrt(162) - (sqrt(162) + 0)*4))*-3)**2.\nAnswer: 2916*sqrt(2) + 52569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-148)\/(-11544))\/(2\/(-36)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 110?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 36 - 1. Let b(g) = 16*g - 12*g - 3 + 1 + 17*g. Is b(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/24 and -11\/27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.35 + -27. Let s = -2.35 + p. Which is the closest to 2\/3? (a) -0.3 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100110 + 10011001101101?\nAnswer: 10010010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = 0. Solve 5*u - 3*o = 11 + 13, v = 2*u - 3*o - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-1995)*20\/(-2)*(-3)\/(-6)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 1253*g - 460977. Calculate b(-260).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6724024 is divided by 1563?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.059 and 109.7.\nAnswer: 6.4723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 373770, 374158, 374546?\n\"Answer: 388*j + 373382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11828856 by 5.\nAnswer: 11828856\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighty-five sixths of a year?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from zsiehibbeeishbs?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (7 + (-4 - 7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-21) - (-20)\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107089 = 9*h - 132554. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-796)\/(-20) + (3\/15 - 0). What is the highest common divisor of q and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-6*(4 - (-60)\/(-16))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004724327 to 5 decimal places.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 - 4*b**2 + 0*b**2 + (-4*b + 4*b - 2*b)*(0*b - 2*b + 3*b) - 5*b**2 + 5*b**2 - 12*b**2 - b + b**2 + b to the form p*b**2 + m + i*b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.5 and -288.\nAnswer: 5616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 940*j - 2186 = -1246 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2 + -0.3665?\nAnswer: -6.5665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1270752 divided by 14.\nAnswer: 90768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 5*m - 64 + 43, 4*m = -20. Let b be 6*4\/(-6) + -3. Let k(i) = -i + 7. What is the smallest common multiple of g and k(b)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, m: 5, o: 2}. Give prob of picking 1 o and 2 l.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.6 + -1.6. Let c = -176.015 + 169. Let i = c + b. What is i rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 428 + -425.22. Round m to one decimal place.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 113*k + 437. Let j be w(-4). Let b(t) = 4*t + 8. Let h(x) = -x. What is j*b(n) + 2*h(n)?\nAnswer: 2*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**4\/4 - 456*t**3 + 311904*t**2 - 94818816*t + 10809345024 = 0.\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 14 = -k, -4*k - k - v = 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 375844 divided by -6062?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 12) in base 4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -63, 9, 36, -2\/19, 0, 2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 651, 6601, 12551, 18501?\n\"Answer: 5950*i - 5299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 13*p + 21*p. Let z be -6*2*(-15)\/10. What is the highest common divisor of z and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 23422 = 16*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = f - 0*f. Is (-746)\/((0 - f)*(-2 - -1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 22*a**2 - 8*a. Let s(t) = 22*t**2 - 6*t. Calculate -4*b(u) + 5*s(u).\nAnswer: 22*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7246265ml in litres?\nAnswer: 0.0007246265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(-13) + 26\/2. Let p = -10 + n. Suppose -5*a + 4*o = -203, -p*a - 2*o = -256 + 35. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2\/13, -7\/53, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 3154351\nAnswer: 3\/3154351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2379219 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -55*n - 279. Let s be u(-6). Suppose s*m - 80*m + 39382 = 0. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7909 - 3706. List the prime factors of c.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - 2 + 2 + (5*b + b - 4*b)*(2*b - b + b) - 4 - b**2 + 4 + 2*b**2 - b**2 + b**2 + 4*b**2 - 2*b**2 - b**2)*(73*b**2 - 73*b**2 - 7*b**3).\nAnswer: -28*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 6)*(1636 - 1633)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 88729815?\nAnswer: -7098385.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -14*d**3 + d**2 + 5*d + 3. Let u be x(-4). Suppose -5*h + 10*h - u = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58753084?\nAnswer: 2, 13, 149, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 at most as big as 276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1750 and 2221625.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 318, 2, 0, 41, 3 in descending order.\nAnswer: 318, 41, 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5 = 3*x, 7*r - 2359*x + 2362*x + 29 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 3*g**2 + 7*g + 1\/2*g**4 + 0 + 5\/2*g**3 - 1\/14*g**7 - 3\/5*g**5 - 2\/5*g**6. Find f, given that k(f) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/684 + (7\/48)\/(3\/2)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a centimeter in micrometers?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58.2 - -56.2. Let f = 0.626 - 0.226. What is the smallest value in -5, f, 1\/3, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, e: 5, c: 2, h: 4}. What is prob of picking 2 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 459\/18 + 9\/(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -108, -144, -228, -384, -636, -1008, -1524?\n\"Answer: -4*i**3 - 8*i - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73542705.\nAnswer: 3, 5, 107, 45821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 23 + 9*t + 8 - 8*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154231 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*a = 4955 - 127, 0 = -2*d + 6*a + 2424. Calculate the greatest common factor of d and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 6*u**2 - 7*u**2)*(4 + 2 - 3)*(-6 + 7 + 8)*(0*u + 0*u - u**3).\nAnswer: 297*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2*h**3 - 26*h**3 + 0.\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 794 - 3967\/5. What is the fourth smallest value in -2\/13, c, 6, -3\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 444 divided by -37\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 20*t**2 + 0.\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2685?\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55143453.\nAnswer: 3, 19, 967429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 2*y**3\/3 - 2. Let t(q) = -q. Let x(s) = -2*s**2 + 10*s. Suppose -2*w + 7 = 27. Let p(h) = w*t(h) - x(h). Calculate a(p(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 38 = -3*w. Let f be -6 - (w\/4 - 3). Let s = 124 + -864\/7. What is the second biggest value in f, s, -10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 b, and 1 v when four letters picked without replacement from ebyccbccyevebybbcev.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23736 and 3036.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 14200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*j + j = 180, 0 = -4*q - 2*j + 810. Let d = -267 + 146. Let p = d + q. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*m - 3720 = 12*m + 30*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**4 + p**3 - 7*p**2 + 3*p**2 + 4*p + 6*p**2 - 6*p + 1 to d*p**2 + z*p**4 + v*p + o + q*p**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 3, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 2*d + 13*d - 16 + 46. Let x be c(19). Are -49 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-4)*(18\/30)\/((-219)\/730)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -4.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**2\/r*r*r)**(33\/2)\/((r\/(r*r*r\/(r**(-2)*r)*r))\/r)**(-5) assuming r is positive.\nAnswer: r**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/7, 0.06, -4\/7 in decreasing order.\nAnswer: 2\/7, 0.06, -0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*s + 8, -s + 16 = -4*j + j. Let u = 6.715 - 0.015. Let x = 5.7 - u. Which is the closest to x? (a) -0.2 (b) -3\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/(-30)*-3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.3. Let c = -0.4 - w. Let f be ((-5)\/4)\/(30\/(-80)*(-14)\/(-21)). Sort f, c, -3\/4 in decreasing order.\nAnswer: f, c, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 33912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 4 = -6*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(3\/8)*t**(-13)\/t*(t\/t**(3\/5))\/t*t*t*t**(-7\/3) assuming t is positive.\nAnswer: t**(-1627\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 11*z**2 + 8*z + 7. Does 11 divide m(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 + m**2 - m**2 + (5*m**2 - 4*m**2 - 3*m**2 + (m - 3*m + 3*m)*(0*m + 0*m + m))*(2*m**2 + m**2 + 2*m**2).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9415611833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v = -43*v + 36. What is the second derivative of -4*z**4 - 65*z**5 + v*z**4 - 78*z + 70*z**5 - 30*z wrt z?\nAnswer: 100*z**3 + 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71941736*-11\nAnswer: 791359096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 647623 plus 23?\nAnswer: 647646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/56)\/(18\/4)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/14 + 21\/49)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331407 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2385 - -2412. Calculate the least common multiple of i and 144.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 271*d**2 + 9*d - 2?\nAnswer: 542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 + 86*o - 88. What is the lowest common multiple of d(16) and 399?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 8623.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 494153 and 538?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -3. What is the greatest common factor of z and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -24*d - 52 - 8. Let c(z) = 9*z + 33. Let f(n) = 5*n + 17. What is d*c(o) + 11*f(o)?\nAnswer: o - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 11*x + 3. Which is the closest to -0.3? (a) x (b) 0.5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88.2*-123\nAnswer: -10848.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5293\/158 - 34)*2\/(-7).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -23*q**2. Let t(k) = -52*k. Give w(t(g)).\nAnswer: -62192*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a - 1. Let m be -1 - 3 - (0 + -6). Suppose -m*i - b + 36 = -3*b, 4*i + b - 57 = 0. What is the least common multiple of u(-5) and i?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644545153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i**2 - 3*i - 1. Determine k(3).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*x - 14*x + 44*x + (x - x + 2*x)*(-4 + 1 - 2) + (-x - x - x)*(-2 + 2 - 2)*(0 + 0 - 2) as j + n*x and give n.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -8, 0.11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9930042263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 11*q**2 + 7*q + 2. Give t(-11).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -193*p**4 - 9*p**3 - 5*p**2 + 5*p + 1031. Let j(x) = -6*x**4 - x**3 - x**2 + x + 1. Let b(w) = -f(w) + 5*j(w). Differentiate b(o) wrt o.\nAnswer: 652*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -471, -1062, -1889, -2952, -4251, -5786?\nAnswer: -7557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14*(2 - 14\/4). Factor 13*a**4 - 12*a**2 + 2*a + 0*a - z*a**4 + 18*a**3.\nAnswer: -2*a*(a - 1)**2*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*t**5 + 2*t**2 - 3*t**5 + 4*t**2 + 2*t**2 wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3 - 2*d**2 + d**4 + d**4 - d**3 + 4 - d**5 - 5. Let f(s) = 3*s**5 - 6*s**4 + 3*s**3 + 7*s**2 - 7. Let g(l) = -6*f(l) - 21*p(l). Solve g(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 141 - 702\/5. Let x = -1.16 + 1. Let q = x - 0.04. What is the second smallest value in g, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 6*s - 6. Let f(i) = -2*i**2 + 36*i - 25. Let v be f(18). Let w(x) = -x**2 - 22*x + 81. Let z be w(v). Calculate k(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 14*u + 27. Let v be y(12). Solve -z + v*z = 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 m, and 1 t when four letters picked without replacement from tsttttmtmmsm.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (24\/(-1))\/(32\/33 + -1).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b - 0*b, 0 = -5*o + 3*b - 1. Let d(u) = -u**2 + 5*u - 3. Let q be d(5). Does 15 divide -1 + 19 + (q - o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 69442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3455, -13899, -31293, -55625, -86883, -125055, -170129, -222093?\nAnswer: -280935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**4\/3 - 20*y**3\/3 + 106*y**2\/3 - 68*y + 39 = 0.\nAnswer: 1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -73, -65, -53, -37, -17?\n\"Answer: 2*g**2 + 2*g - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**3\/3 - 61*c. Let v(z) = -72*z**2. Give x(v(p)).\nAnswer: -144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -2355\/7, -307 in decreasing order.\nAnswer: 21, -307, -2355\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 2, -15 in decreasing order.\nAnswer: 8, 2, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 390 - -10?\nAnswer: 3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -i + 13, 5*h - 13 = -23 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16a (base 12) to base 2\nAnswer: -11100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (56 + -2486)*(-30)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 9:01 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1510461?\nAnswer: 3, 43, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*k**5 - 177591*k**4 - 1294626*k**3 - 3097536*k**2 - 2437632*k = 0. What is k?\nAnswer: -3, -16\/7, -2, 0, 8464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 354 = -4*q - 0*b, 2*b + 172 = 2*q. Suppose -w - w = -22. What is the greatest common factor of q and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 858 and 104.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6134588.\nAnswer: 2, 503, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 416919?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*k**2 + 37*k**2 + k**3 + 10*k + 23*k**2 in the form l*k**2 + n*k**3 + c + f*k and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6117835429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*l**3 - 77*l + 9349.\nAnswer: 18*l**2 - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/150 and 101\/840.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 5\/4) + 186\/(-24). Suppose 190 = 3*r - 4*k, -3*k + 5*k = 10. Calculate the remainder when r is divided by 12*(-4)\/c*(1 + 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 + 470552*r\/7 - 1411638\/7.\nAnswer: -2*(r - 235273)*(r - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/(16\/24). Let y be n\/(-2) - (-110)\/4. Suppose 3*i - 5*c - y = -0*i, 0 = i + 2*c + 9. Solve 4*j - 9 = -i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 11, s: 9}. Give prob of sequence sssc.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2124422 + 6?\nAnswer: -2124414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 12:08 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.8447658 minus 77.5497?\nAnswer: -66.7049342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a second in milliseconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 2198*a**2 - 1949*a**2 + 4 - 1.\nAnswer: -4147*a**2 + 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0*c + 200. Suppose -15 - c = -k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -278?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 4\/40325495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 11}. Give prob of sequence qn.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2 - 1636*m + 137683 = 0.\nAnswer: 89, 1547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**2 + 13854*s = 0?\nAnswer: 0, 4618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-4)*3\/60.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from vcraupc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440998 and 1062082.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2452423 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 7*k**2 - 6*k + 8. Let a be x(6). Let c = 73 - -33. Is (c\/a)\/((-3)\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -0*g + 2*g. Let q = 36 - g. Suppose 5*w - q = 3*b + 73, -19 = -w - 5*b. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9796, 9642, 9326, 8800, 8016, 6926, 5482?\nAnswer: 3636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 7:31 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*s**3 - 192*s**2 + 30*s**2 - 39055*s + 0 + 39056*s to the form z*s**3 + t + l*s**2 + a*s and give l.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12354773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.73, -1, -0.71, 3, 11\/2, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 16 = -6. Let d(n) = 2*n**3 + 3*n**2 + n - 1. Let r be d(x). Let t(p) = -p - 1. Determine t(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 7868.\nAnswer: 1\/1967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1843199+539959\nAnswer: 2383158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882*5 - 4\/(20\/(-25)).\nAnswer: 5, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 5. Let t be (-1)\/(s - (0 + 2)). Solve -4*j - t - 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*i - 69*i = -111*i + 26*i + 6848 for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, b: 5}. What is prob of sequence vbvv?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1320599\/6 + -217350. Let k = s - 2725. Find the common denominator of k and -82*((-74)\/(-80) - (-3 - -4)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 + 0*k - 92*k**5 + 2*k + 70*k**2 - 8*k + 94*k**5 wrt k.\nAnswer: 40*k**3 + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 7:52 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(396)*4 - -3*(sqrt(396) + -1))**2.\nAnswer: -396*sqrt(11) + 47925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b + 16. Suppose 33 = 4*r - r - 4*v, b*v = 2*r - 18. What is the smallest common multiple of 27 and r?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.73491ml in litres?\nAnswer: 0.05173491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4170\/42534)\/((-5)\/(-18))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 16 = -1 - 7. Solve -56*r = -3*n - 55*r - 18, -g*n - 3*r - 6 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**3 - 6 + 6*a - 42*a**4 + 40*a**4 + 10 in the form j*a + y*a**4 + p*a**2 + n*a**3 + b and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1. Let p(a) = -a + 14. Determine 2*p(o) + 22*w(o).\nAnswer: -2*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -47*v**2 + 5*v - 5. Let k(i) be the first derivative of 47*i**3\/3 - 2*i**2 + 4*i - 11. Let m(w) = -5*k(w) - 4*r(w). Let p(a) = a. Determine p(m(y)).\nAnswer: -47*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -5*x + 592. What is the greatest common divisor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1 - 6*k + 5*k - 2*k - k. Calculate f(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46.7 + -43.6976. Let j = q - 3. Round j to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (42\/(-35))\/(3\/(-50)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and -36*((-23)\/(-6) - 4)*2?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15468 + 15467.9999981461. What is v rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from {z: 1, t: 2, s: 1, h: 2, j: 6}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -13*r**2. Let l(u) = 494*u**2 + 52*u - 52. Let g(p) = -47*p**2 - 5*p + 5. Let q(t) = 52*g(t) + 5*l(t). Determine q(c(f)).\nAnswer: 4394*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(0 + 0 - 6*v**3) + (2*v**2 + 0*v**2 + 2*v**2)*(2 - 2*v - 2)*(49 + 23 - 9)*(-1 + 1 - 2)*(2 + 4 - 4).\nAnswer: 2028*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -20, -46, -82, -128, -184?\n\"Answer: -5*l**2 - l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4 + 458*p**3 - 35526*p**2 + 1100086*p - 11780728 = 0. What is p?\nAnswer: 29, 68, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4363 (base 8) in base 2?\nAnswer: 100011110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221 a factor of 6689279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*a - 92691 = 116703, -5*s + 261753 = a. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 663\/255 - (-13572)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -11*r**6\/30 - 13*r**2 - 27*r. Differentiate h(c) wrt c.\nAnswer: -44*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12735651 + 2?\nAnswer: 12735653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 7:24 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 7:33 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 1.7, 0.04, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence encl when four letters picked without replacement from lceldni.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllrrlr. What is prob of picking 3 r and 1 l?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1092 + 1788 = 16*p. What is the greatest common divisor of p and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) -4 (c) 17 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 9. Let r(q) = 4*q**2 + q - 2. Let k be r(s). Find the first derivative of 5*p + 8*p - k*p + 1 wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 1:15 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 + 72ba56?\nAnswer: 72ba76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m = -85 - 41 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 + g**2 + 2*g + 2. Let y = -3 - -1. Let b be u(y). Let q = b - -51. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6*c = 2. Let f be ((-3)\/(-15))\/(c - 2). Let l = -10 + 6. Put f, l, -3 in descending order.\nAnswer: f, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s. Let k(i) = 2*i + i - 2*i. Let g be k(3). Is r(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/2 of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15790563.3192 - 0.692.\nAnswer: 15790562.6272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5 + 2*n - n + 7. Let y = 48 + -46. Let l be (18\/15*1)\/(y\/(-10)). Calculate c(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -191 - -195. Suppose -5*c = -k*f - 195 - 67, -8 = -4*f. Calculate the smallest common multiple of 12 and c.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215 - 282*y + 215.\nAnswer: -282*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1451, 1306, 1055, 710, 283, -214, -769, -1370?\nAnswer: -2005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -6 + -3 - -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -7*h**2\/2 + 24*h - 91. What is the remainder when m(-1) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -233 + 233.4. Which is the smallest value? (a) 4 (b) w (c) 0.2 (d) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 30549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 572*f*h*j + 22*f*h*q**3 - f*j - 355*j*q**3 - j + 7 wrt h?\nAnswer: 572*f*j + 22*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1261*c = -1258*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000077995103 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**6)**(-1\/2))**20 assuming x is positive.\nAnswer: x**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 363.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 22, 7.\nAnswer: -3, -2, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0859096867 to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 189\/245 - (-12)\/28. Put 0.4, a, -1, 1 in decreasing order.\nAnswer: a, 1, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 740260.3?\nAnswer: -740260.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*v + 50 = -26*v - 350. Let t = 384 - 251. Let f = t - 93. Calculate the greatest common factor of v and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49225 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*h + 2*y + 20, -125*y + 3 = h - 122*y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c - 4*c + 6*c + 0*c.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16*51\/17000)\/(276\/(-115))?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 57, -101, -5, 0.\nAnswer: -101, -5, 0, 22, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/4 - 27363*g + 109449\/4.\nAnswer: 3*(g - 36483)*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and -995 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 489 by 1.\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2325*x = -9018 + 77609 + 106218 - 39959 for x.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 65 + 10*d - 35)*(d**2 + 404 - 814 + 408 + d).\nAnswer: 10*d**3 + 7*d**2 - 23*d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 17*l**2. Let f(s) be the third derivative of -104*s**5\/15 + s**3\/3 - 7054*s**2. Calculate w(f(q)).\nAnswer: 2941952*q**4 - 28288*q**2 + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -30*m. Let c(l) = -91974*l. What is c(q(g))?\nAnswer: 2759220*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 41. Solve -28*p**t + 16 - 3*p**5 + 34*p**2 + 9*p**3 - 16 = 0 for p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -50*f + 203. Calculate c(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 3, u: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/21*(0 + 0). Let p(q) = -q**3 - 4*q**2 + q + 3. Let t be p(-4). Which is bigger: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 540*g**6 - 20*g**3 - 70484*g**2 + g?\nAnswer: 64800*g**3 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119664705 to the nearest integer?\nAnswer: 10939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 7*w**2 + 446*w + 63. Is 45 a factor of r(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 24*r + 7225 = 0. List the prime factors of r.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/74, 3, -15?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 < -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 + 1049.4684\nAnswer: 1049.5384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 24. Let i = 18 + r. Let l = i - 6. Solve c = -2, y + y = -l*c - 16 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 + 2*q**2 + q. Let x(u) = -9*u**3 - 71*u**2 + 4*u - 12. Give 4*j(r) - x(r).\nAnswer: r**3 + 79*r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 w when three letters picked without replacement from wwoooow.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(162) - sqrt(162)*-2) + 6*sqrt(162)*1)\/((6*sqrt(2904) + sqrt(24))*-2).\nAnswer: -63*sqrt(3)\/268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -b + 39, 0*b + 5*p - 173 = -3*b. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -k + 6. What is the remainder when k is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -17*f**7\/210 - 5*f**3 + 13*f**2. Find the first derivative of t(c) wrt c.\nAnswer: -68*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 26*d + 117. Give s(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-2 - 16\/(-6)). Let v be 28\/35*(f - -3). Let s = 82 + -62. Calculate the highest common factor of v and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*2*(-1 + 4\/3). Let n = -1.044 + 0.544. Which is the nearest to u? (a) 0.3 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 11*s + 77 - 12 = -15*s, -4*p = 19*s - 18*s - 31 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 532 + -607. Let i be d\/(-15) - (-5)\/(-2). Which is the third smallest value? (a) i (b) -23 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1044 divided by -18\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324521542 (base 6) to base 13.\nAnswer: 1290491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 888 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 22. Let p(s) = s**2 - s - 1. Calculate the remainder when 41 is divided by p(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + 0*j - 5*j)*(-2 + 5 - 5) + (-2 + 2 - j)*(196645 - 99610 - 99886) as x*j + v and give x.\nAnswer: 2855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3271, -13088, -29441, -52330, -81755, -117716?\nAnswer: -160213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 6970144526.\nAnswer: 6970144525.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0037120950585 rounded to 6 dps?\nAnswer: -0.003712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1, 0, 293, 4, -3 in decreasing order.\nAnswer: 293, 13, 4, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/23 or 0.242352?\nAnswer: 0.242352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u + 23. Let p be s(-7). Let d(x) = -2*x**2 + 5*x + 1. Let f(m) = -3*m**2 + 7*m + 2. Calculate p*f(z) + 7*d(z).\nAnswer: z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/56*-12)\/(12\/21).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*s + 27 + 29 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Suppose r = -7*i + 4*i - 54. Let s = -1 - i. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 7, -236 in decreasing order.\nAnswer: 7, 4, -1, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)*-2 + sqrt(20))\/sqrt(4) + ((sqrt(90)\/sqrt(3))\/sqrt(3))\/sqrt(2))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*n - 6. Calculate the greatest common factor of 3 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6*11\/9*-114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + 11 + (2 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*x - 160. Calculate the smallest common multiple of ((-17)\/(-4) + 2)*152\/95 and x.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/7))**(-9\/8) assuming a is positive.\nAnswer: a**(-27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 179 + 4.80815\nAnswer: 183.80815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 11*b**2 - 32*b + 17. Let i be u(6). Let x(p) = -p. Let o(s) = -6*s - 12. What is i*x(l) - o(l)?\nAnswer: l + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133 - -348. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21048, -5 in increasing order.\nAnswer: -5, 5, 21048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -1096993 in decreasing order.\nAnswer: 0, -4, -1096993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327986.\nAnswer: 2, 163993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 246 + -246.736. Let o = y - 39.364. What is o rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 54 - 1\/2*i**4 - 256*i**2 + 0*i - 64\/3*i**3. Factor a(v).\nAnswer: -2*v*(v + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-4))\/(20*17\/(-544)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 231012323 (base 4) to base 15\nAnswer: 39b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 64 = s. Let g = 4 - 8. Let v(f) = 2*f**2 + 6*f. Let j be v(g). Calculate the greatest common factor of s and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.128 (b) 0.54 (c) -0.4 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 4*v**2 + v - 1. Let f be k(4). Suppose -9 + 24 = 5*s. Let i be ((-1)\/s)\/((-4)\/(-6) + -1). Solve -f*l = -4*l - i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975310066.\nAnswer: 2, 47, 10375639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4}. What is prob of sequence jj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25*6\/45*3. Let p be (-10)\/4*(-8)\/k. Suppose p = -4*a + 22. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35813677 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 535446503 by -2.\nAnswer: -535446503\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -326, -1253, -2798, -4961, -7742?\n\"Answer: -309*h**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1832, 20088, 50514, 93110, 147876, 214812, 293918?\nAnswer: 385194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*q**2 - 59*q - 30*q**2 - 40*q**2 wrt q.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from {m: 1, q: 1, y: 1, t: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y. Let g(r) = 11*r + 2. Let w(j) be the second derivative of -539*j**3\/6 - 99*j**2\/2 + 23*j. Let p(m) = -99*g(m) - 2*w(m). What is p(f(t))?\nAnswer: -33*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3178, 6422, 9666?\nAnswer: 12910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1063 in -8, -0.4, 0.24?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*t + 1353 + 41 = 0 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73204 or -1244444\/17?\nAnswer: -1244444\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 36736403.\nAnswer: 36736403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 95 = -5*f, -f - 5*x - 24 = -3*x. Suppose 72 = -2*a + 8. Let g = f - a. Which is smaller: g or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1761.21+-335\nAnswer: 1426.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 626615, 1253271, 1879927, 2506583, 3133239, 3759895?\nAnswer: 4386551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33 + -2)*(2 - 3). Suppose 5 = 4*y + 1, f = -2*y + 7. Suppose v = f*h - 5*m, 5*h - 4 - 4 = -4*m. Calculate the highest common factor of 10 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, q: 3, f: 5, j: 1}. Give prob of sequence jq.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156365318?\nAnswer: 2, 227, 344417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -36. Let d = y - 20. Suppose -d*n - 17 + 2 = -5*q, -5*q = n - 27. Solve -n*w - 4*o + 26 = 0, w - o = -3 + 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, u: 1, f: 1}. What is prob of sequence fcu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/4409100 and 167\/14109120.\nAnswer: 70545600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.398 + 0.0474.\nAnswer: 0.4454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -27 + (-17 - (-22 - 7))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 6*p**2 - 9*p - 3. Calculate g(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003865999393 to seven dps.\nAnswer: 0.003866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/16 - 1\/(-4). Let o = v + -2. Suppose 3*q - o*q = 820. What is q rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-3)*(-1)\/(-2). Suppose -34 = -5*p - 2*c, 24 = v*p + c + 3. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -439919 to the nearest 10000.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*4\/(32\/36). Find the third derivative of -18*h**2 - 22*h**2 + u - 17 - 113*h**4 wrt h.\nAnswer: -2712*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 12:38 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f + 9. Let y(z) = z**2 + 6*z - 6. What is the remainder when y(f) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1623 and 2090965?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i + 8. What is u(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 129780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Suppose -f = y - 0. Let b be 38 + f\/1 + -1. Calculate the greatest common factor of 90 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2352 divided by 28?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w + 3*w)*(-8 + 1 + 6)*(-2 + 2 - 3*w).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t. Let p(s) = -2*s - 130745. What is p(m(f))?\nAnswer: -4*f - 130745","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*p - 24, u = 4*p - p + 30. Suppose -n + k = 5*k - u, -3*k + 6 = 0. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5\/2 + 27549*u**4 - 168100212*u**3 + 337363771416*u**2 + 20874213459432*u - 43096537643568 = 0. What is u?\nAnswer: -62, 2, 6142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 221023?\nAnswer: 221033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24911 - 17838 - 17438)*(-3*q - 3 + 3) to i + y*q and give y.\nAnswer: 31095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 9*x - 2. Let o be j(-7). Suppose o = 5*n + 7. Calculate the common denominator of 19\/6 and (n\/2)\/((-30)\/505).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p - 4*p + 2 + 1. What is the remainder when 2 is divided by s(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.946 - -21. Round s to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56286143 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/28 - -1\/28. Which is the second biggest value? (a) -0.4 (b) x (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 58 = 38. Suppose s + s = -a. Let v(z) = -3*z + 5. What are the prime factors of v(s)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -296.774 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1169820 divided by -670.\nAnswer: 1746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)*i*i\/i**3)**(-2\/41)*(i**(1\/9)*i**(-5))\/(i**(-2\/7)\/i**1) assuming i is positive.\nAnswer: i**(-8803\/2583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 18*a + 27. Is u(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -26 + d + 26. Let o(r) = r + 1. Let q(b) = -2*b - 3. Let k(h) = 6*o(h) + 2*q(h). Calculate i(k(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 785 + 499*u - 783 + 2796 + 1506 wrt u.\nAnswer: 499","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 u when four letters picked without replacement from {u: 4, h: 5, k: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - j + 2 = -0*o, 4*o = 5*j + 17. Suppose 133 = -o*x + 49. Let g = x + 42. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6373.2 + 6373. Suppose 0 = -x - 8. Which is the second smallest value? (a) 1\/6 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-8))**20*r*(r\/((r**(-1\/4)*r)\/r))\/r*r**(-1\/2)*r*r)**(7\/6) assuming r is positive.\nAnswer: r**(-1281\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7 + 8*c - c**3 - 2*c**2 + 8*c**2 - 2 - c**2. Let h be z(6). Suppose -32 = -h*p - 5. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(108) - ((sqrt(108) + -1 - sqrt(108)) + 3)) + (sqrt(108) - (-3 + 1 + sqrt(108))))*2)**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1223113023 (base 4) to base 16.\nAnswer: -6b5cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1465243*1\nAnswer: -1465243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -169463\/12 - -14114. Calculate the common denominator of l and 1\/(-7)*231\/(-121).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.65 in -3, -15\/4, 25, -1, -28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b**2 - 515*b - 150 = 0 for b.\nAnswer: -2\/7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -87 in -76, -3\/7, -3?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5292 and 30.\nAnswer: 26460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 68985 and -91657450.\nAnswer: -91588465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 1\/2 (c) -1\/3 (d) 0.4 (e) 498\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 220.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 490 = -71*c + 19*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11*-1 + ((-2)\/(5280\/(-33140)) - 7\/(-84))\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + -6 + (-218 - -167)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3251778.\nAnswer: 2, 3, 67, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -673 = 9*i - 250. Let p = 61 + i. What is the greatest common factor of p and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/417 and -52\/897261.\nAnswer: 124719279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 3937\/3863 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/18 and ((-61 + 2)\/1)\/(-6 - -16).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -21 + 15 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 19783*v**2 + 7 + 5*v - 16 + 9 - 19792*v**2. Let y(x) = -91*x**2 + 49*x. Calculate -49*p(o) + 5*y(o).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 6*a - 3*a**3 + 8*a + 7*a**2 + 4*a**3 as m + u*a**3 + n*a + x*a**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27678627 is divided by 4867?\nAnswer: 4865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 19. Let d = 26.27 + x. What is d rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o. Let u(z) = 6*z**2 + 11*z - 11. Let b = 71 - 49. Let w(a) = a**2 + 2*a - 2. Let q(p) = b*w(p) - 4*u(p). Calculate q(c(n)).\nAnswer: -98*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69851 and 18222?\nAnswer: 419106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147bb68 (base 12) to base 9.\nAnswer: 7720718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02598 to four decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 9381466022.1136?\nAnswer: -9381466026.1136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/5)\/(3\/75) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/(-12) + 2\/(-6). Is 10 a factor of (60\/(-14))\/(i\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrly when four letters picked without replacement from {r: 6, y: 1, v: 3, l: 3}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 10*i + 2. Let v(g) = 5 - 4*g**i + g**2 - 5. Let q(s) = -3*s + s + 4*s. What is v(q(n))?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6936 = 5*g - 7*g, g + 5202 = 3*j. Does 77 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1311312 + -13?\nAnswer: -1311331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.899 + -0.101. Let u = 4112 + -4129.49. Let m = u - -17. Which is bigger: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200240432 (base 5) in base 12?\nAnswer: 3212b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12378408 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11300322 (base 4) to base 11.\nAnswer: -16814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -2, -2\/13, 53 in decreasing order.\nAnswer: 53, -2\/13, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002602186675 rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 + 0. Suppose l + 4*l - w = 0. Suppose 0*a = 5*a - 125. Calculate the remainder when a is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3490902 take away -187274?\nAnswer: -3303628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-9928)\/(-36) - ((-50)\/(-45))\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/(8\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 12*f**2 - 2*f - 3. Calculate the smallest common multiple of g(3) and ((-5396)\/760 - 2\/(-20))*18\/(-21).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004565297 rounded to six dps?\nAnswer: -0.000457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**6\/120 - a**5\/10 + a**4\/6 - 7*a**3\/6 - 2*a**2. List the prime factors of b(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5020461 meters to centimeters.\nAnswer: 50.20461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3611 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b*b\/(b*b**(-14)*b)*b)**(2\/9) assuming b is positive.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*w + 22. Suppose q = -0 + 37. Let n = -35 + q. Solve w*m + 6 = 5*f - 4, n*f = 5*m - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6773022 (base 10) to base 12.\nAnswer: 23276a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5045430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -152 and 34?\nAnswer: -5168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four sevenths of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274287543.\nAnswer: 1274287543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from {q: 1, w: 5, n: 1, o: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, h: 1, q: 1, p: 1, l: 1}. What is prob of sequence lpqw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -0.7 (c) 0.5 (d) -0.1 (e) -0.06 (f) -333 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, q: 5, e: 1}. What is prob of sequence qq?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m + 22. Let a be y(-16). Which is bigger: -25 or a?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 235 and 16.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0.1. Let k(f) be the first derivative of -f**3\/3 - f**2 - f + 6. Let z be k(0). Which is the nearest to z? (a) 2 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123.941 + -124. Let q = 0.341 - l. What is the closest to -2\/9 in -5, q, -6\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*6*618\/(-9). Let a = o - 151. Calculate the highest common factor of 87 and a.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 13) to base 2.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2.5 (b) 5 (c) 1 (d) 12.02 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 121*s - 16349. What is q(81)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1044)\/(-580))\/(2\/(-20)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5 - 4, -5*b + 51 = 2*n. Let d = n - 16. Suppose l = -d*l. Sort 4, l, -2.\nAnswer: -2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*k + 30994 + 9946. Do k and -890 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 4*c - 3*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 710, 1416, 2122?\nAnswer: 2828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 5:59 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 57489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2570 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r + 4. Let q(k) = -k + 1. Suppose 2*f = o + 7, 2*f + 3*o + 18 = -o. Let w(g) = f*q(g) + u(g). What are the prime factors of w(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 946*g**3 + 1752*g.\nAnswer: 5676*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.100009 - 10.1. Round g to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41881445 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 t(b) = 5426*b + 37988. Give t(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -47. Suppose -2*a + 6 = 0, -a + 43 = y*c - 40. Calculate the lowest common multiple of 8 + (-1 - 1 - -2) and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06706 - -0.03294. What is the closest to t in -0.0507, -3, 2?\nAnswer: -0.0507","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {m: 1, s: 1, e: 1, o: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 20*f - 1. What is a(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgu when three letters picked without replacement from {p: 4, w: 6, u: 5, g: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 557, 561, 565, 569, 573?\n\"Answer: 4*f + 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -135639873 divided by -6?\nAnswer: 45213291\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0846 + 0.1154. Let o = 35 + -51. Let h = 21 + o. Which is the second biggest value? (a) h (b) z (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40006*z**3 + 10*z**2 + 1304842*z?\nAnswer: -240036*z + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 346732.6 times -0.2\nAnswer: -69346.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and -19307 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbkpzkukkkj. Give prob of picking 1 u, 1 b, and 1 j.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51.5762 * 4.\nAnswer: 206.3048","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -99.08 + 176.08. Which is the nearest to 2? (a) o (b) -1 (c) 0.1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 763 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/166595 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-14)*-1 + (-12762808)\/95858\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3146924034 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -145, 193, 759, 1559, 2599, 3885?\n\"Answer: y**3 + 108*y**2 + 7*y - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 9*q - 4. Let a be v(9). Let u(y) = -11*y + 8. What are the prime factors of u(a)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000995885629 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209255 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.021 in -1, 1, -0.227?\nAnswer: -0.227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*y + 138*y = 2357 + 3414 + 22789 for y.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 34?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 34 = -c - c, 20 = b - 2*c. What is the least common multiple of 10 and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*b + 125*b + 79*b - 11*b)*(0 - 2*b**2 + 0) to the form p*b**2 + x + a*b**3 + h*b and give a.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*w - 18 = 269*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 12*a + 55. What is i(-5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 6*v - 3. Let o be q(-5). Solve o*s = s + 4, -i = 3*s - 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 2 = -n + m, 0 = -n + 3*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 216.957 - 217. Let z = v - -0.34. What is z rounded to two decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 6720*s**2 + 13431*s - 6714.\nAnswer: 3*(s - 2238)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 28. Give z(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) + ((-66)\/363 - 481850\/(-154)). Calculate the highest common factor of 298 and v.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-3))\/((-40)\/48). Suppose 28 = t*g - 12. What is the remainder when 59 is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 + 45. Let k(c) = -1 + 1 - 229*c**2 + x*c**2 + 115*c**2. Let o(t) = -5 + 2*t**2 + 5. What is o(k(f))?\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 25 = 5*k, -k + 4*v - 2*v + 5 = 0. Let w be (5 + -1)\/2*2. What is the closest to -1 in -4, k, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**2 - 42*c**2 - 38*c**2 + 17*c**2.\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2017344 and 5376.\nAnswer: 8069376","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51435671 or -51435677?\nAnswer: -51435677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1703444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 12:39 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g = -5*i + 34, 0 = i + 2*g - 2. Suppose 4*n - m = 6, 5*n + 3*m - 11 = i*m. Are -2 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*x = -4, 5*k - k = -4*x + 24. Solve -2*p = -3*c - 1, -k - 11 = -3*p - c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4819585 is divided by 541.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*d**4 + 3*d**3 - 19*d.\nAnswer: -372*d**2 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - -408 - (-1 - -2). Let s(o) = o**2 - 3*o. Let n be s(4). Suppose -h = 5*u - 5*h - 401, -5*u - n*h = -w. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-14)\/(-2)*-1. Suppose 4*f = -o*i - 0*i + 15, 0 = 3*i - 5*f - 9. Suppose i*b = 5*b - 10. Solve 0 = -4*h - 2*r + 4, 7*h = 4*h - b*r + 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -16*s**2 + 7*s - 54. Let p be y(8). Let u = 1048 + p. What is the remainder when 155 is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/13 + 632*k\/13.\nAnswer: 2*k*(k + 316)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -9, -25, -57, -111?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*i**3 - 21*i - 3 + 105*i**3 + 4.\nAnswer: -139*i**3 - 21*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59862 + -1291391.\nAnswer: -1231529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 9*t + 12.\nAnswer: -3*(t - 4)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-2) + 20\/(-10). Let c = p + 3. Let o be c - (6\/(-3) - -4). Solve -o - 2 = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)*d*d*d)\/d*d**(-3\/5)\/d*(d**(-1\/4))**(8\/11))**(-2\/11) assuming d is positive.\nAnswer: d**(196\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u = -12*u + 12. Let x(v) = 9*v - 1. Let b(f) = -4*f. Determine u*x(w) - 5*b(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 4*y - 4*v - 42144, -63232 = -3*y + 2*v. Is y - 0 - (-6 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -17*p + 1\/6*p**4 - 4 + 2\/3*p**3 - 1\/10*p**5 + 0*p**2. Factor u(b).\nAnswer: -2*b*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -259 + 261. Solve 11*s - 2*r = 6*s + 29, 19 = 3*s - o*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28244180 and 940?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**3 + 63*d**2 - 3*d - 6750 wrt d?\nAnswer: 6*d**2 + 126*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 4 - (-4)\/(8\/170). Calculate the highest common factor of q and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/8))**(-7\/3)\/(v*v**(-10)\/v*v)**(2\/77) assuming v is positive.\nAnswer: v**(-107\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3186*s**3 + 3189*s**3 - 6381*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10*b - 24 = 6*b, 4*d + b - 6 = 0. Put -77, 4, d, -5 in decreasing order.\nAnswer: 4, d, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - f + 6. Let i(h) = -1. Suppose 0 = -3*p - j + 8, 0 = p + 4*j + 12. Suppose -p*o = w + 27, o - 18 = 2*o + 4*w. What is o*i(v) - u(v)?\nAnswer: -2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/22 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 1432 = 2*s - 16*i, 0 = -5*s + 4*i + 3580. List the prime factors of s.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 9*u + 6. Let k be x(3). Let b = -145 - -305. Suppose -8*t + b = -k*t. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + k = -44, 946 = -56*k + 946 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 29*t - 32*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/3 (b) -1.3 (c) 0.1 (d) -2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 16*i = -12. Let a(v) = -v**3 + 6*v**2 + v - 13. Let q be a(i). Round q to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 15) + (-4 - -2) + -6 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/28*(-143164)\/15339\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 0*c**2 + 2 + 0)*(-2*c**2 + 4*c**2 - c**2).\nAnswer: -2*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13312 and 31408?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20*(-12)\/(-12)*(0 - 1). Let l = 20 + i. Suppose l = 3*v, x + 5*v = -0*x + 27. Is 27 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (31 + (6 - -14 - 8)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 298255 + -45036327\/151. Let m = 192865\/1057 - h. Let s = -181 + m. Which is the third smallest value? (a) s (b) -0.5 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9325*y - 5 = -9324*y, -x - 4*y - 18 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0 - 4 = 0. Suppose b*f + 12 = 24. Suppose -2*x = -x - f. Calculate the remainder when 10 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 + 82\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 11*t**3 + 9*t - 9. Let y(i) be the second derivative of -3*i**5\/20 - i**3\/3 + i**2 + 18*i. What is -2*k(w) - 9*y(w)?\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from xxxyxoxoxyaaxao.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3245609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18021382, 18021380, 18021378, 18021376, 18021374?\nAnswer: 18021372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5858 and 606.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177 (base 10) to base 5.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96402 is divided by 149.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 3 - 3)*(-4*u + 3*u + 0*u) + (0*u - u + 3*u)*(-u + 3*u + u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**5 - 1076*i**4 + 72892*i**3 - 70748*i**2 - 72896*i + 71824 = 0.\nAnswer: -1, 1, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/920*-10*6\/(-9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (sqrt(891) + sqrt(891) + 1)*1) + (-3 + sqrt(891)*-1)**2 + -2.\nAnswer: 45*sqrt(11) + 897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*o - 4*l, -o - 4*l = -l + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1929*86.\nAnswer: 16.5894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 171 times 0.263\nAnswer: 44.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-146 + 146 - 19*r**2)*((-2 + 2 + 2*r)*(-r + r + r) + 2*r**2 + 0 + 0) in the form s*r**4 + k*r + c*r**3 + h*r**2 + m and give s.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(9)*6 + ((sqrt(108) + sqrt(108)*-2 + sqrt(108))\/sqrt(12) - sqrt(9)))\/(6*4*sqrt(12)).\nAnswer: 5*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*d + 7. Let q = 11 - d. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 311, 453, 577, 677, 747, 781, 773?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12\/76819 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, -2853, -2\/3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - z + 598860197643*z**3 - 598860197639*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myyynnypmmpm. What is prob of picking 2 n and 1 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*v - 844, -5*w + 3*w - 2*v - 328 = 0. Let p = w - -239. Let s(k) = 2*k + 2. Let q be s(3). Calculate the highest common divisor of q and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**4\/3 + 3*x**3\/2 - 13*x**2. Let i be 8\/6*(-18)\/(-4). Suppose z = i*z - 45. Let q(s) = -2*s - 2. Give z*q(r) + 2*d(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/83, -3\/2, 3, 1\/4?\nAnswer: -4\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d05d1 (base 15) to base 7.\nAnswer: -15026335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Let c(o) = o**3 - 24*o**2 - 202*o - 3127. Let t be c(33). Solve 4*f = 4*a + t, -3*f - g*a - 8 = a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1516.59104 take away 1672?\nAnswer: -3188.59104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -0.044053.\nAnswer: -0.484583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 536?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-27) + 1*(-3)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 64*j**3 + 2*j**2 - 4*j + 19. Give k(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0 + 2*u**2 + 10*u**3 + 1 + 2*u - 3*u**3. Let n = 1 + 3. Suppose n = -3*h - h. Give z(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5 - 3 = -3. Let y(s) = 9*s - 47. Let n(d) = 14*d - 71. What is v*n(b) + 8*y(b)?\nAnswer: 2*b - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 55.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94 (base 13) to base 5.\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 2 - 1)*(3 - 2 + 0 + (2 - 3 + 0)*(1 - 3 + 1) + 18 - 6 + 18)*(4*z - 4*z + 3*z**2).\nAnswer: 1632*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153842, -153852, -153876, -153920, -153990?\nAnswer: -154092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3012 = 197*t + 3720 + 754 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Let j(c) be the second derivative of -c**5\/15 - c**3 - 34*c. Let v(k) be the second derivative of j(k). Give v(y(s)).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -375, -2, 2 in decreasing order.\nAnswer: 2, -2, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -7.8. Let m = -0.256 - -0.333. Let p = m + i. Round p to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1) + (-16 - -23 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3578121, 3578060, 3577999, 3577938, 3577877?\nAnswer: 3577816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/30*(-2010)\/(-29078).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 243 divided by -9\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 7. Let s(n) = -2*n - 6. Let p(a) = a**2 + 14*a + 5. Let o be p(-14). Give o*s(q) + 4*i(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 272.9 + -273. What is the nearest to s in 0.06, 1, -3\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - 2\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7 and 0.247.\nAnswer: -6.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2 + 1782*d + 302328 = 0. What is d?\nAnswer: -663, -228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u**2 + 5*u - 5. Let k be o(-1). Let i(g) = -g**2 + 7*g + 4. Let n be i(7). Solve k = n*z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -165 + 372. Let i = -1033\/5 + y. Is 3\/5 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*i - 3, x - 2*i = 4*x - 4. Factor -8*r**3 + x*r**2 + 6*r**4 + 92*r - 2*r**3 - 90*r.\nAnswer: 2*r*(r - 1)**2*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-189)\/(-405)*24\/28. Factor -6\/5*l**2 + 0 - 4\/5*l - b*l**3.\nAnswer: -2*l*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.771 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 3\/5 (c) -4 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufe when three letters picked without replacement from {e: 5, u: 4, f: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 6*v**2 + 9*v + 8. Determine q(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 5 (b) -140\/2557 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 c when four letters picked without replacement from gycycycyy.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 840 = 1096. Let j be 2 - (-230 + h\/(-8)). Is j less than 227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2) + 2\/4 - -3. Suppose -r*q + 3*u + 909 = 0, -5*u = -0 - 10. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5551 divided by 41205?\nAnswer: -5551\/41205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -11*h - 7. Calculate j(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -16*s - 41. Let k(d) = 30*d + 81. Determine 3*k(w) + 5*v(w).\nAnswer: 10*w + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -5. Let w be (1\/(-3))\/(x\/(-12)). Suppose 10 = -w*c + 9*c. Solve -15 = 5*f - c*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from yylyddlly.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*l + 2. Let t be l - (1 + -2 + -2). Suppose -3 = u, -t*s = u + 3*u - 28. What is the greatest common divisor of 30 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -5*v - 28, 4*m - 28 = -14*v + 10*v for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -145 - 6?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**5 + 1396*p**4 + 1354932*p**3 + 201859324*p**2 + 2972543168*p + 11549224704 = 0. Calculate p.\nAnswer: -233, -8, 831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 6, o: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 2, a: 3, g: 4}. Give prob of picking 1 w and 1 g.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -6*w - 16, 51010 = -w - 3*t + 51024 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 3*l**2 - 2*l**2)*(-2*l**2 - 7*l**2 + 3*l**2)*(-2*l - 5*l + 5*l).\nAnswer: -72*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1114508 litres to millilitres.\nAnswer: 111.4508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*a + 159*a - 18*d - 624 = 314*a, -a = 4*d + 138 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3756 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-1))\/((-6)\/(-10)*(-16880)\/(-2532))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -123 + 140. Let f(v) = v**3 - 10*v**2 - 5*v - 5. Let d be f(10). Let i = 104 + d. Calculate the remainder when i is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4 = r, 24047*t - r = 24046*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 314 + -1113?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 - l**3 + l**3 + (38*l + 6*l**2 - 38*l)*(3 + 4 + 2)*(4*l**3 - 5*l**3 + 4*l**3).\nAnswer: 164*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -210*y + 1015. Give p(2).\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -6*l + 7. Suppose -57*y = -18*y. Solve y = 4*c - l*z - 19, 4*c - 9 - 8 = z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + 2 - (1 + -2) - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*m - 4*b, -65 = 5*m + 1121*b - 1126*b for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*x**2 + 93*x**2 + 118*x**2 + x + 43*x**2.\nAnswer: 285*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12 + -8910329921.\nAnswer: -8910329920.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 9*i + 15. What is the remainder when l(-6) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = 4*k, 0 = -2*k + 6*i - i - 5. What is the smallest value in k, 0.8, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5311637 is divided by 162?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 < -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -2\/11487?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-15))\/((-6)\/10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + h + 2.\nAnswer: -(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413550*p + 414130*p - 2320 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from {t: 3, f: 4, e: 1, y: 9, j: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 780553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 1, -27 in descending order.\nAnswer: 1, 0, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311 = 423*o + 9179 - 1254 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 4\/7 (c) -7 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8921 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 2. Suppose -3*u - 3*y = -30, 2*y - 5 = -u + 2*u. Let n(m) = 4*m**2 - m - 3. Calculate u*j(k) - 3*n(k).\nAnswer: -2*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2021805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -37961.968.\nAnswer: 7592.3936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**7*q*q**(-6\/7))\/(q**(-5)\/q**(1\/3))*(q\/((q\/(q*q**(-8)*q*q))\/q)*q*q**(-3\/4))\/(q**(1\/4))**(-36) assuming q is positive.\nAnswer: q**(1489\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqg when three letters picked without replacement from sdtqxsddsgdstsxdd?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459473979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 10*q + 2. Let u be c(-11). Suppose 23 = 3*h - u. Calculate the greatest common factor of h and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*b + 5*g - 45, -2*b + 11 = g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26642 rounded to 2 decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(1\/7)*h**(-2\/25) assuming h is positive.\nAnswer: h**(186\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/12*32\/12. Suppose -2*f + 40 = -0*f. Suppose 14*m - 4*m = -f. What is the closest to m in i, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 5853.\nAnswer: 11706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6993, -8462, -9929, -11394, -12857, -14318?\nAnswer: -15777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 94.92 from -0.6.\nAnswer: -95.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 150416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 = -24. What is the third derivative of 10*o**5 - 2*o**2 - 3*o**x - 2*o**2 wrt o?\nAnswer: 420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2720964 times -11.4?\nAnswer: 31018989.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -21e2?\nAnswer: -21e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 8. Suppose 8*r - 3 = 11*r, 5*r + 20 = 5*u. Let y be (14 + -5)\/u - -5. Sort t, y, -3 in ascending order.\nAnswer: -3, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 124. Suppose -v = 3*x - 3178. Let g = x - 3001\/3. Find the common denominator of g and 115\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 + -125. Suppose -5*j + 1550 = -k*j. Is j a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -584002*l + l**3 + 1095808*l - 511806*l.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -98274\nAnswer: -2\/49137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46.3 - 116. Let x = o + 162.30001818. What is x rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327118 (base 10) in base 7?\nAnswer: 2531461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(5\/3))\/v*v\/(v*(v**(-15)\/v*v)\/v)*v*v**5*v*v*v**(-6))**(-3))**28 assuming v is positive.\nAnswer: v**(-1652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 31*z - 120. Let a be p(26). Solve -a*j = -17*j + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k + 11. Let m(d) = -d - 8. What is 9*m(z) + 4*w(z)?\nAnswer: 3*z - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/30)\/((-2)\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -6, -6994?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqqq when four letters picked without replacement from {i: 13, q: 3, t: 3}?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -1b8?\nAnswer: 1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*h + 3*k, -3*k - 1 = 5*h - h. Suppose -18 = -73*r + 67*r. Calculate the remainder when r is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**7\/360 + 5*h**4\/8 + 45*h**2. Let l(a) be the second derivative of t(a). Let i(x) = -2*x**2. Calculate l(i(q)).\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -2*m - 4*w - 9, 64 = -3*m - w for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*q, -12*q - 39 = 4*n - 11*q for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*r - v - 130, -3*r - 5*v - 72 = 0. Suppose -9*b + 900 = 9*b. Let g = b + r. Does 21 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 1. Suppose 15 = z + 4*g, -4*g = 3*z - 5*g + 20. Let k(o) = 20*o**2 + 5*o + 1. Let m(u) = z*w(u) + k(u). Find the first derivative of m(j) wrt j.\nAnswer: 40*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98056.\nAnswer: 2, 7, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(29\/3)*u*u**(-1\/6))\/((u**(-21)\/u)\/u*u**(-3)) assuming u is positive.\nAnswer: u**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 10*g + 4673 - 4673 + 27*g.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(117) - -1*sqrt(117))*-6 - (sqrt(117)*2*-5 + sqrt(117) - sqrt(117))))\/(-6*(sqrt(81)*1 + sqrt(81))*2))**2.\nAnswer: 13\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.4 (b) 1.6 (c) -1\/7 (d) 0.03 (e) -6\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 11*s + 2. Let j be m(11). What is the derivative of 0*h**4 - 19 + 13 + j*h**4 + 0*h**4 wrt h?\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**5 + 1449*d**4 - 216444*d**3 + 9609732*d**2 - 59510928*d + 97772544 = 0. What is d?\nAnswer: 3, 4, 64, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3\/10, 0.6, -4, 3 in increasing order.\nAnswer: -4, -0.5, -3\/10, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b95c8a - -2?\nAnswer: -b95c88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-678)\/(-24))\/((-5 - -3)\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 3\/2, -0.5, 4, 0.01 in descending order.\nAnswer: 4, 3\/2, 0.01, -0.06, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 68. Suppose 5*o + 833 = 4*w, c*w - 5*o + 315 - 1355 = 0. Calculate the greatest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 4*r, t + 3*r = 16. What is the remainder when t is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10420151?\nAnswer: 7, 19, 78347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 6:59 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 389761568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = m - 7, -6*m - 3*d - 21 = -63 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22222 (base 5) to base 3\nAnswer: 2010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122 + -115. Let c(t) = t**2 + t - 57. Let l be c(p). Let j be (-15)\/l*(3 + (-84)\/35). What is the greatest common factor of 261 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/17 - 128856*l**2\/17 + 2080243050*l\/17 - 153233180692\/17 = 0. What is l?\nAnswer: 74, 32177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -65*k**3 + 8*k**2 + 2. Let s(o) = 49*o**3 - 7*o**2 - 1. Let t(w) = 3*r(w) + 4*s(w). Suppose -f = f - 16. Let m = -5 + f. Calculate t(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-8)\/18 + (-378)\/2430).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/13)\/j*j*j*j*(j**(3\/7)*j)\/j)\/(j*j*j**(-1\/14)*j\/(j*j**2*j)) assuming j is positive.\nAnswer: j**(95\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06310619554 to four decimal places.\nAnswer: 0.0631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w + 10. What is the units digit of x(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhy when three letters picked without replacement from hhhynnnhhynnh?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 26298.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257124*-15.\nAnswer: 3856860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -31.7, -5380 in increasing order.\nAnswer: -5380, -31.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2327, -9350, -21055, -37442?\n\"Answer: -2341*k**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 207 and 16?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 33 = 30*c - 212 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -357.13 * 2\nAnswer: -714.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y = -l, -5*l = -4*y. Solve 11 = -4*t - 3*i, -2*t + 3*i - 1 = -y*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -158*f. Let u(a) = 267924*a. Determine u(z(m)).\nAnswer: -42331992*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56 - -1415?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2. Let w(p) = 14*p**2. Give w(q(i)).\nAnswer: 126*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hheeeeeejej. What is prob of picking 2 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -27077*m**2 + 8*m - 8. Let o(x) = x**3 + 22*x**2 + 39*x - 18. Let j be o(-20). Let z be p(j). What is z rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 12:37 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + -0.8. Let z = 13\/7 + -136\/77. Sort 0.5, z, a.\nAnswer: z, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, e: 6, j: 2, y: 4, a: 1}. Give prob of picking 2 g and 1 j.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -726370, -1452805, -2179240, -2905675, -3632110, -4358545?\n\"Answer: -726435*k + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 10*y - 14. Calculate the remainder when 27 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669775943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**2 + 93805*n - 563010 = 0. Calculate n.\nAnswer: -18767, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5965 - 2777.5965. Let r = f + 2730.31. Let t = -48 - r. Round t to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3 = -6*k. Suppose 8 = -251*l + 255*l. Let w(o) = 18 - 18 + l*o. Calculate w(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*2*(-11)\/110*-5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z + 32*z = -b + 4750, 3*z + 9565 = 2*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 1.3, 106, 245, -12\/13?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.305801737 rounded to 2 decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 559578 to the power of 1\/2, to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/12915? (a) -93 (b) -2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 14. Let t be j(13). Let g be ((-60)\/48)\/(t\/(-8)). Solve x - 14 = -5*y, g = -0*y + 5*y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4.813718 milliseconds?\nAnswer: 4813718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*c**3 + 20892*c**2 - 24744*c + 3808.\nAnswer: 4*(c - 1)*(c + 476)*(11*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 671 = k, -j + 2336 = 3*k + 295. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a16 (base 11) in base 8?\nAnswer: -14627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 581994985 by 8953769.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/3))\/(p*p\/(p*p*p\/(p*p*(p*p\/(p*p**(2\/9))*p)\/p*p*p*p))*p) assuming p is positive.\nAnswer: p**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 308, -5, -88, -3\/16?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137 and 1507.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*y - 32*y = -104*y - 6380 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/18051 and -79\/29963019.\nAnswer: 329593209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 52775, 105554, 158333, 211112, 263891, 316670?\n\"Answer: 52779*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 5852, -1, 4 in decreasing order.\nAnswer: 5852, 4, -1, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*r**4 + 0*r + 2 - 4 + r + 11*r**4 - r**3 to the form z*r**4 + s*r**2 + o*r + j + g*r**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -20 + 5, -b = -g - 3. Let z = 147 + -123. Solve b = 4*y + z - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133040 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9054 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 384675\/1338*(3 + (-70)\/25 + 2\/10). Let w = -254 - -367. Is w equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 26*r - 138. Let l = 912 - 922. Let z be g(l). What is the highest common factor of 1012 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 209 + -63. Calculate the remainder when k is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (-15 + 14 + -4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -354084802 by -13106.\nAnswer: 27017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 8*j - 8. Let r be k(-7). Let i(a) = 4*a**2 + 2*a + 1. Let y be i(r). Suppose -y*t + 6 = -0*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: What is the hundreds digit of 1169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37385\/12 - -3119. What is the common denominator of v and 83\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1862736513883 less than 5?\nAnswer: 1862736513888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11248080 and 900?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*o - 31 = 0, 4*z + o + 2*o = 13. Let x be z + ((-1)\/1 - 1). Suppose -6 = -2*n, 3*v = -x*n + 28 - 4. Put -2, -5, v in increasing order.\nAnswer: -5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 + 13. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -13. Let z = 1062 + -1066. What is the closest to 0 in -1\/9, d, z?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 2926 - 2926 + 6*n**2 + n**2.\nAnswer: 7*n**2 - 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -266885 - -54177432\/203. Let a = 36\/29 + r. Which is bigger: -33 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 237*h**2 + 23*h + 23. What are the prime factors of c(6)?\nAnswer: 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-714)\/3332*(-21)\/54. Let h(k) be the second derivative of 0 + z*k**4 + 2*k + 0*k**2 - 2\/3*k**3. What is h(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 6*u. Let n be r(6). Let s be ((-9)\/12)\/(9\/12 + -1). Suppose -s*j = -n*j - 57. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212266*2\nAnswer: -424532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -1\/12*o**4 + 22*o + 0*o**2 + 0 + 0*o**3. Let t(v) = 3*v. Calculate j(t(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14 - (-145)\/(-3248)*16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/27115 and -7\/15950.\nAnswer: 271150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -620 - -1864\/3. Let h = 16.5 - 17. Which is the second biggest value? (a) 1.7 (b) 0.4 (c) i (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10202221122210 (base 3) in base 12?\nAnswer: 809340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29217.5 litres in millilitres?\nAnswer: 29217500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 5*v - 15, -5*r + 11 = -v + 22 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4962615073 to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 + 19*t + 3*t**2 - 37*t + 2 + 15*t in the form z*t + y + p*t**2 + b*t**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18986, 18975, 18964, 18953, 18942, 18931?\nAnswer: 18920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/8)\/(93492\/23376 + -4). Let u(t) = -493*t - k*t + 981*t. Let c(r) = 95*r**2. Give u(c(v)).\nAnswer: 95*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t*w**4 - 65*t*w**3 + t*w + 16*w wrt w.\nAnswer: -12*t*w**2 - 390*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 10. Suppose 0 = 2*g - 5*g + u. Suppose -x = x + g. Sort x, 5, -1 in ascending order.\nAnswer: x, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**7*d\/(d*d**9\/d)*d**(-1\/8)*(d*d**(2\/17)*d)\/d assuming d is positive.\nAnswer: d**(-1769\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 557879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 116004463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17150 is divided by 5701?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 877.32*-2.7.\nAnswer: -2368.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127748764 + 127748856.999981. Let p = 7.2 + -100.2. Let n = t + p. Round n to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, 4, -4, 11, -7 in descending order.\nAnswer: 146, 11, 4, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/68 and -49\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 484.62 times -0.3\nAnswer: -145.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**2. Let m(j) = 12*j. What is m(c(r))?\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 5, -2, -52, 29, 20 in decreasing order.\nAnswer: 29, 20, 5, 1, -2, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 103)\/(-1) - 76\/(-19). Let d = -107 + u. Let y(j) = -3 - 3 + 2*j**2 + 4 - 2*j**3. Let g(q) = q**3. Determine d*y(x) + 4*g(x).\nAnswer: 2*x**3 + 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.6 + 1.6. Let t = -2218\/3 + 739. Let g = 12.9 - 13. Which is the nearest to -0.1? (a) t (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 - 1856?\nAnswer: -1831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -0.8 (c) 57 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*b = -55, -2*h + 50 = h + b. Suppose c = -4*c + h. Suppose 0*d + d = c, n + d - 8 = 0. Solve n*o - 3*o + 10 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1871, -1869, -1867, -1865, -1863, -1861?\nAnswer: -1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4448184 and 36.\nAnswer: 13344552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 88 = -5*j - 2*n, 24 = j + 4*n. Let h(w) = 28*w**3 + w. Let a be h(1). Suppose -a + 21 = -z. Calculate the greatest common divisor of z and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -16. Let i be (-2)\/d - 52\/(-84). Do 1 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 24*t = 16. Let v(s) be the second derivative of -s**3\/6 + 4*s**2 + 6*s. What is v(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixteen ninths of a hour?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*t + 2*r, -3*t - r - 289 = -292 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1211112010211?\nAnswer: -1211112010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from gcclglrrglllddcclll?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53696013.\nAnswer: 3, 7, 17, 21487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1489728*f**2*i*s**2 - 37537*f**2*i*s + 3*f*s + 18*i*s**2 wrt s?\nAnswer: 2979456*f**2*i + 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**2 - 68*d + 304. Give k(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 + 11*d**2 + 305*d - 305*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 14*n + 7. Let i = -43 + 34. Let b be (2 + 0)\/((-2)\/i). List the prime factors of d(b).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10, -19, -26, -31, -34, -35?\n\"Answer: p**2 - 12*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minus -63?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -171.5 - -171. Suppose 2*o - 18 = -5*g, 4*g + 2 - 15 = -3*o. Put -5\/6, o, h in descending order.\nAnswer: h, -5\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12\/11 + -13\/22. Let d(k) be the first derivative of -1 - 2*k - q*k**2. What is the first derivative of d(c) wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (8 - 5) - (0 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4)*(1 - -1). Let t = b + 0. Let j be (-10 + 19 - (-147)\/(-12))*1. Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -5*i + 85, 18*l - 26*i + 21 = -27*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -2, 1, -6\/7, 2.7 in descending order.\nAnswer: 3, 2.7, 2, 1, -6\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115434 is divided by 46.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 114 = -27*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s. Let b be u(2). Let r = b + 36. Suppose -k + 2*y = 4*y - 14, 5*k + 3*y - r = 0. What is the remainder when 11 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(4\/3))**(-22) assuming h is positive.\nAnswer: h**(-154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5988\/11 + 544. What is the biggest value in q, -0.4, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01909827 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, x: 2}. Give prob of sequence xxc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1003*i - 8. Let w be h(1). Suppose -3*c + 239 = w. Let r be 1*(7\/14)\/((-2)\/c). Calculate the highest common divisor of 18 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/715540 and -1\/237405.\nAnswer: 255447780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9169851 - 6456595. Let o = -2713092.0000169 + q. Let x = 164 - o. Round x to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34932 and 141696?\nAnswer: 10060416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.2 (c) -11 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1754 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 460, 692, 924?\nAnswer: 1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 47, 103, 197, 329?\n\"Answer: 19*u**2 - u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1941 take away 0.483220530883?\nAnswer: -1941.483220530883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*a - 18*a - 34 = 12*a - 2*o, -o = -2*a + a + 13 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 229 = 5*r, -114 = -3*l + l + 2*r. Suppose -l - 40 = -4*x. Calculate the remainder when 187\/4 - 0 - 9\/12 is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*2*-3 - sqrt(152))\/sqrt(8) - (sqrt(57)\/sqrt(3)*-5 + (sqrt(19) - (-1 + sqrt(19))*-2)))**2.\nAnswer: -20*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*d = -27, -2*k - d = 297 - 300 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 5:37 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 4:37 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 + 1*10. Suppose 2*d - t = -0. Which is the second biggest value? (a) d (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2 and -8\/1314911.\nAnswer: 2629822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 309?\nAnswer: -2472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 70072760059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -3\/7 (c) 3 (d) -9\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26536?\nAnswer: 2, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -5, -18 in increasing order.\nAnswer: -18, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 590, 1631, 3166?\nAnswer: 5195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -6 + 1 + (-8 - -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101100111 + -101?\nAnswer: -10101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0 = 10. Factor -2*j + 3*j**2 + j**4 - 9*j**x + 3*j**2.\nAnswer: j*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239962410, 239962411, 239962412, 239962413?\nAnswer: 239962414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*l - 8. Suppose p + 2*s - 12 = 0, 4*p - l = -s + 6*s. Let o = 3 + -3. Solve o*f + 2*f - p = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -2\/21*f**3 - 2\/7*f**2 + 3 + 0*f. Factor v(m).\nAnswer: -2*m*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-4 + 7) - (1 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 44 + 3 + 10 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5888341533 to the power of 1\/3, to the nearest integer?\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 386847762 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 9*l + 2262.\nAnswer: -3*(l - 29)*(l + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3365, 6542, 9719, 12896?\n\"Answer: 3177*z + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*v - 111, 3*v + 141 - 22 = 4*r. Calculate the remainder when r is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*w, 128 + 131 = -4*q - 3*w. Calculate the smallest common multiple of 1 + 0 + (28 - -1) and (-20)\/35 - 1\/7*q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166*u**3 + 2 + 163*u**3 - 12*u - 295*u**3 - u**4 to the form s*u**3 + k*u + q*u**4 + z + w*u**2 and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1111110000001110?\nAnswer: -1111110000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 + 180*f - 3537. Give h(60).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1209 and -19\/69410550.\nAnswer: 902337150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**4 - 12*h**3 + 17*h. Let m(n) = 5*n**4 - 25*n**3 + 35*n. Let p(b) = 3*m(b) - 5*v(b). Solve p(x) = 0 for x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21798571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 13*u - 199*u**3 - 18*u + 212*u**3 in the form a*u**3 + b*u + p*u**2 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (532\/84)\/(14 - (-2625)\/(-189))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2232 - -2227. Let q(w) = -6*w - 6 - 5*w**2 - w**2 + 5*w**2 - w. What is q(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-66)\/90*-3 - 3. Let i(z) = 2*z - 9. Let h be i(7). Suppose -3 = 3*l + 5*w, -2*w + 4 = -h*l - 1. Is l bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, k: 8}. Give prob of picking 1 d and 1 k.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 53*n**6\/40 + n**5\/12 + 7*n**3\/2 + 1450*n**2 - 2. What is the third derivative of v(s) wrt s?\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43.3743 + 4766\nAnswer: 4809.3743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, a: 2, k: 1, f: 2, s: 1}. What is prob of sequence kf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -2\/7 (c) -110.37 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/88)\/(793\/(-8723)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15330 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, q: 5, s: 3, i: 6, x: 3}. What is prob of sequence ibi?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -416 + 751. Let x = m + -63. What is the tens digit of (-1)\/(-7) - x\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1134 and 333942.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**3 - 8. Let w(c) = -13*c**3 + 2*c - 19. What is 9*m(q) - 4*w(q)?\nAnswer: -2*q**3 - 8*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + 5*(1 + sqrt(98)) + -5.\nAnswer: -2 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2\/17)*i)\/i)\/((i\/(i*i\/i**(1\/3)))\/i))**(-45) assuming i is positive.\nAnswer: i**(-1185\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 13*p + 432. Does 5 divide f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 26 = -2*c, -y - c - 8 = 3*c. Let z be (6\/2)\/((-9)\/y). Suppose z*k = 2 + 2. Solve -l - 5 = -k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-10)*225\/(-30). List the prime factors of 324 + c\/(-12)*-6.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 16358 = -v - y, 4*y = -2*v + 16368. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/23902 and 71\/5624?\nAnswer: 95608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i. Let s(b) = 0 - b + 0 + 2*b. Determine s(c(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 387 - 131. Let n = 175 - w. Let r = -81.00264 - n. What is r rounded to 4 dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = 2*z. Let s(j) = -4*j**3 - 2*j**2 - 2*j - 1. Let k be s(z). Solve -2*f + k*f = -3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*m - 235. Calculate the remainder when m is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 480288222 to the nearest integer?\nAnswer: 21915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - -1)\/(10*2\/24). Suppose 0 = -16*h + 17*h - x. Solve -6*f + f = 2*s - h, -f = -s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Let s = 0.01096 + 0.18904. Which is the third smallest value? (a) -3 (b) s (c) -5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35802 and 13689?\nAnswer: 465426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/79 + 176\/711. Let q = -70 - -61. Which is the biggest value? (a) 0.4 (b) q (c) j (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from yynnytyynynyt.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o. Let q be y(1). Let g be q*-3 + -1 + 1. Let r = 47 + g. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from bjnpjpjbbb?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12122 (base 3) in base 10?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 11:40 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 2 - -17 - -2. Let l be u\/(-15)*-3*1. Suppose l*r + 9 = -11, 3*r = 3*t + 4349985. What is t rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/15)\/((-3)\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17050948 <= -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -736170 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_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: Suppose 2*k + 79 = 19. Suppose 0 = 3*t + 31 + 71. Let v = k - t. Solve 0 = -z + 2*j, -v*z - z = 2*j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1286*d**2 + 1464*d**2 - 684*d**2 as m + z*d**2 + f*d and give z.\nAnswer: 2066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 4:57 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrr. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (5108\/1277)\/(6\/(-8)*28\/42)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/4 and (94\/(-12))\/((-3)\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Let t = -2 + x. Suppose 1 = b, -5*k + t*k + 175 = 5*b. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45.24503 litres?\nAnswer: 45245.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-6) + 21\/((-567)\/(-2448)) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -382447287400?\nAnswer: 382447287400.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10575, -11361, -12145, -12927, -13707, -14485?\n\"Answer: a**2 - 789*a - 9787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -11*c**3 - c**2 + c + 1. Let a be 21\/28 - 7\/4. Let n be d(a). Suppose 74 = 5*b + 2*f, -3*b + 4*f = n - 70. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1018549 and 1589?\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*a - 591 = -136*a + 9*a. Let r(w) = w**2 - w + 1. Let k be 2\/3*(0 - -3). Let z be r(k). Solve 0*d + a = z*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135274131 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 892036894 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 - 2 = -y, 5*c = 4*y - 7. Let d = -16 - -16. Let q = y - d. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -469 + 1088. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1088089 or 1088090?\nAnswer: 1088090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1027150 divided by -4.\nAnswer: -513575\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*o + 111*o - 5264 - 1008 = 0 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*z = 8*q - 632, -12 = 3*z. Let o = 129 - q. Which is greater: o or -47\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -627443*s**4 - 1668162*s**2?\nAnswer: -15058632*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7318600 to the nearest one hundred thousand.\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2129243 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.022 + 0.022. What is the third smallest value in 3, -0.5, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 6 - 15)*(6 + -133).\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -73, -207, -405, -673, -1017?\nAnswer: -1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/5*18 + (-2)\/(-10). Solve -3*v = -y - y, -4*v - y = j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28864.05 + 28864. Let h = -3 - -4. Which is the closest to h? (a) 5\/3 (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 8:41 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10806 - -10849. Solve 52*z - r*z = -63 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -696588744, -1393177480, -2089766202, -2786354904, -3482943580, -4179532224, -4876120830?\nAnswer: -5572709392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.9192453ms?\nAnswer: 0.0009192453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*o + 587 = 0, t - 3*t + 2*o + 292 = 0. Suppose -147*p = -t*p. Is p less than or equal to 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27882957*n**4 + 3*n**2 - 12*n - 193 wrt n.\nAnswer: -669190968*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -10267190 to the nearest ten thousand.\nAnswer: -10270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-720)\/(-35) - (-5 - (-1 + -2)). Let d = b + -309\/14. Factor 1\/4 + 3\/4*c + d*c**2 - 3\/4*c**4 - 1\/4*c**5 - 1\/2*c**3.\nAnswer: -(c - 1)*(c + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 - 53. Solve -5*w - 5*y - g = -w, -5*w + 5*y = 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from mqmf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 7*w**2 + 7*w + 16. Let a = -37 + 45. Does 4 divide k(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9*d + 1190 = 0. What are the prime factors of d?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/2 + 2. Suppose -6*l - 49 + 61 = 0. Find p, given that j - 7\/2*p + l*p**4 - 13\/2*p**3 + 15\/2*p**2 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -673, -1342, -2007, -2668, -3325, -3978, -4627?\nAnswer: -5272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2677, -1, 5 in ascending order.\nAnswer: -3, -1, 5, 2677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3043170 divided by 1014390\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -0.5, 11098\/53, 1\/7.\nAnswer: -3\/2, -0.5, 1\/7, 11098\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 8*w - 12. Let o be m(6). Suppose 7*p - 69 - 372 = o. 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: What is the hundreds digit of 194880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 392\/9*c**2 + 0*c - 2\/9*c**5 - 112\/3*c**3 - 6*c**4 + 0.\nAnswer: -2*c**2*(c - 1)*(c + 14)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 694722 and 100317.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/25)\/((-60)\/675)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 6 - 29*x**2 - 9*x**2 - 6392*x**3 + 6391*x**3 in the form j + m*x**2 + w*x + i*x**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*h + 39*a*m*u**3 + 3*a*m*u - 2*a*m - 2*a*u**3 - 2*h**3*m*u + 4*h**3*u**3 + 3*h*m*u**2 wrt u?\nAnswer: 234*a*m - 12*a + 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 903 (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(200)*1 + -2 + sqrt(200).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1029*g - 3*w = 1032*g + 24, 5*g = 13*g + 14*w + 100 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -25\/6 (b) 7 (c) 68.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6010 to the nearest 100.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*h + 24 - 24)*(-38 - 35 + 31) + (1 - 4 + 1)*(-3*h + 5*h + 0*h) + (-1 - 1 - 2)*(-4*h - 3*h + 5*h)*(2 - 1 + 0).\nAnswer: -584*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, m: 1, b: 4, k: 1, o: 1, d: 1}. Give prob of sequence mb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q - 18. Suppose -10*z + 12 = -q*z. Suppose -5*s + 4*b = 30 - 135, -3*s - z*b = -63. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -182 + 888. Let y = -459 + n. List the prime factors of y.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4 - -1. Let n = m + 1.4. Let z = 1.1 + -0.8. What is the closest to 1\/2 in -0.3, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -507, -1135, -2005, -3111, -4447?\nAnswer: -6007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 61 = 2*v, 17 = 3*q + 5*v - 12. Let d(y) = y + 1. Give d(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12183425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from ne.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*z + 1506 = 0, -a + 2*z = -1168 - 344. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.53719 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.5 (b) 116 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 + 141. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4723177944 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25967*l + 12985*l + 12985*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -14. Is 3 a factor of 4\/16 - (-46)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*t = 5*t - 1100, -w = -3*t - 202. Calculate the highest common divisor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l - 36*l - 2 = 0. What is the closest to 0.04 in l, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 330340084, 330340082, 330340080, 330340078, 330340076, 330340074?\n\"Answer: -2*i + 330340086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 70, 69, 68, 67?\n\"Answer: -f + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 13) in base 16?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3 (b) 0.2 (c) -0.01 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (5 + (-5 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + 24262?\nAnswer: 24254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 5*y**2 - 5*y + 9. Let c be k(4). Let j be c - -3*8\/12. Let h(t) = 26*t + 3. Is h(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 + 821\/9. Let n = 28 - 43. Let y = 15 + n. What is the second biggest value in y, -5, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126205*l + 259 = 126222*l + 72, 0 = -4*u + 2*l - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from smvthdd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 66, -2\/9, 2\/25, -1\/2, 2\/2051, 5\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in -0.3, -0.1, -10, -398, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**3 - 17*b**2 + 7*b - 4. Let w be h(-6). Is -10 != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 17*i**2 + 31*i + 37. Suppose 107 = -8*y - 13. Let g be s(y). Suppose 4*o = -3*w + 104, -3*o - 2*o + 2*w + 107 = 0. Which is bigger: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6353 or -121?\nAnswer: 6353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 + -1.4. Which is the smallest value? (a) -1 (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**3 - 34*o**2 + 4*o. Let q(n) = -7*n**3 + 68*n**2 - 9*n. What is -9*h(j) - 4*q(j)?\nAnswer: j**3 + 34*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 60\/(-3)*1\/(-6) + -4. What is the closest to 0 in i, 36, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 0*q - 3 - 25\/2*q**4 + 0*q**2 + 65\/3*q**3. What is the third derivative of i(h) wrt h?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 15784*i + 5262*i + 5262*i + 5260*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166329?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 36*j - 23. Let v(o) = 16*o + 9. Suppose 0 = -5*k - w - 0*w + 33, -3*k + 2*w + 25 = 0. What is the remainder when v(k) is divided by g(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 466 + -467.91. Let q = m + 3.91. Which is the smallest value? (a) 0.5 (b) 0.1 (c) q (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6741 divided by -9?\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3135 (b) 7 (c) -991\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.38602 rounded to 2 decimal places?\nAnswer: 7.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**6\/40 + 3*d**5\/4 - d**4\/24 + 5*d**3\/2 + 16*d**2. Let x be r(15). Solve -2*g - g + 2*b + 14 = 0, x = -g - b - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**4\/4 - 15*n**3\/2 + 33*n**2\/2 + n - 73. Let o be w(14). Is -59\/6 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 45, 36, 27, 18, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*sqrt(84)\/(sqrt(12) + sqrt(108)*2).\nAnswer: -12*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 259?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111110001001110 (base 2) in base 10?\nAnswer: 326734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 178*c**2 - 12*c - 10. Suppose 3*i = -3*v - 30, i - 6*i = 25. Let b be o(v). What is b rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20595656 and 496?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1408*a - 22013 = 8061 - 1043 + 537 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**3\/6 - t**2 - 4*t. Let p be l(-2). Suppose -7*r + 12*r - 10 = p. Solve 5*s - 6 = r*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11775 bigger than 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (372\/(-24) - -15)\/((-1)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -39488*w. Let p(r) = -r. Give p(d(a)).\nAnswer: 39488*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + 83 + 10 + -43 - (94 + 0).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttfftfttt. What is prob of sequence ftff?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-18))\/(1\/(-2)). What is the nearest to 1\/3 in d, 2, 54?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112.265 + -106.3. Let d = u - 6. Round d to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -643 divided by -36?\nAnswer: 643\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3679044850.\nAnswer: 2, 5, 13, 47, 120427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 55701240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15364724 times -8?\nAnswer: 122917792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -10\/9 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**5 - 2740*l**4 - 18965*l**3 - 16090*l**2 + 75940*l + 108200 = 0.\nAnswer: -541, -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 3 (c) 3\/8 (d) 17 (e) 35 (f) 12\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 11*d**2 + 15*d + 13. Calculate u(-5).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3554525?\nAnswer: 5, 13, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8975*j + 4449*j + 4471*j + 3850 = 0 for j.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5432)\/216 - -25)\/((4 - 2)*1)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.4, 2.2 in decreasing order.\nAnswer: 2.2, 0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -22. Let k(l) = -5*l**3 - 7*l + 3*l + 0 - 4*l**2 + 0 - g. What are the prime factors of k(-3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39000 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q = -y + 41, -5*y - 701*q + 698*q + 12 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = -q + 790. Suppose 4*n - 5150 + 1438 = 0. Let u = n - q. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20388*w + 1153*w**5 + 40777*w - 20389*w + (2 - 2 + w)*(-5*w**3 - 2*w**4 + 5*w**3) + 2 - 4*w**5 - 2.\nAnswer: 1147*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**4\/4 - 2*s + 43. Let a(n) = n**2 + 2958 - 2958. Give a(c(f)).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z - 5*h - 35, 2*h = -6. Suppose 0 = 3*s - 8 - 7. Let r(m) = m**2 - 4*m - 5. Let b be r(s). Solve c + z*c + 5 = b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let b = -2485 + 12482\/5. Let c = -161\/15 + b. Which is greater: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392322 is divided by 1128.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1889671 or -1889674?\nAnswer: -1889674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174848.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**3 - 4*i + 1. Let z(v) = 2*v**3 - 2*v. Let g(m) = m**2 + 16*m - 5. Let t be g(-16). Calculate t*z(o) + 3*n(o).\nAnswer: 2*o**3 - 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44\/(0 - -4 - 2). Solve -3*p + 6*j - j + 1 = 0, 0 = 4*p + 5*j + h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 - (38 - 29)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k + 40. Let w(h) = 2*h - 1. Let q be w(k). Suppose 3*f - 15 = 0, -f = n + 2*f - q. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9660032, -19320093, -28980154, -38640215, -48300276, -57960337?\n\"Answer: -9660061*x + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*r = 0, -5*r + 0 = 3*x - 2. Let l = 35.91 - 36. Let k = l - -0.29. Which is the closest to x? (a) 4 (b) k (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.29 + 0.01. Let j = -0.996 - 0.004. Suppose 2 = -2*s - 0*s. Which is the closest to j? (a) 1 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 37 - 247 = 0. Suppose -33 = -3*k + w. Calculate the remainder when 74 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*a + 4, 0*a = 2*a + 4*r - 8. Let x = -57.7 - -57. Let n be 6\/10 + -8*5\/25. What is the closest to a in n, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 1 - 3 = 2*k, -3*w + 4*k - 18 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.26, -1\/2, 20?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 2*o - 3. Suppose -24 = 5*i - 4. What is f(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4152260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/8 - (1 - 20\/16). Let v(y) = -2*y**2 - 101*y + 683. Let r be v(6). Suppose -2*g**2 + 3*g**3 + 0 - 2*g**b + 1\/2*g + 1\/2*g**r = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10*h. Let g be r(-1). Let d be -2*7 + 108*(-742)\/(-189). Calculate the highest common factor of d and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**5\/20 + m**3\/6 + m**2\/2 + 14*m. Let l be h(0). Let k be ((-3)\/((-9)\/(-6)))\/l. Is -5\/4 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j = 20, 5*j - 77 = -4*h. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 - g**3 + 3*g**3 + (-12 + 3*g**3 + 12)*(-3 + 6 - 1) + 169*g - 18*g**3 - 169*g in the form s*g**3 + v*g + u + y*g**2 and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -67.94763 * 11\nAnswer: -747.42393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 123*x**2 - 24*x + 3. Let v(m) = -121*m**2 + 25*m - 2. Let f(q) = 2*h(q) + 3*v(q). Let j(b) = -9*b**2 + 2*b. What is -2*f(w) + 27*j(w)?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b. Let y(m) be the first derivative of -22*m**3 + 489. Determine y(u(l)).\nAnswer: -1056*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 + 4)*1 - -10. Suppose 2*m - 7 = -7*t + y*t, 4*t - 11 = -m. Which is the smallest value? (a) 5 (b) -1\/7 (c) -0.5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**3\/7 + 6735*y**2\/7 - 15120075*y\/7 - 5236. Factor o(p).\nAnswer: -3*(p - 2245)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/9 + 14464*v**2\/9 - 230656*v\/9 + 102400.\nAnswer: -4*(v - 3600)*(v - 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*i**2 + 98247*i**3 + 101849*i**3 - 36*i**2.\nAnswer: 200096*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f + 7355. Is y(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148b6 (base 12) to base 15.\nAnswer: 8893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 1208 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0730502 - 660.4950502. Let d = t - -661. Round d to two dps.\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 714 = -6*y. What is the second derivative of -19*d + y*d**2 + 18*d**4 - 19*d**4 - 37*d**2 + 75*d**2 wrt d?\nAnswer: -12*d**2 + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9184 divided by 574?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -6347 - -4) + -7 + 7 + 0. Which is the third smallest value? (a) 1\/2 (b) -0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -1. Suppose h*n - 3*v - 191 = 39, -5*v = 0. Let c be n\/2 + 2 - 1. Calculate the highest common factor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.19 + 0.69. Let x(w) = w**2 - 10*w + 4. Let b be x(8). Let r be ((-9)\/b)\/(3\/5). What is the second smallest value in u, r, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 2:22 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1\/6 (b) -2 (c) 1\/10 (d) -7 (e) -185 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + w**2 - 2*w + 4*w**4 - 20 + 0*w in the form h + c*w + a*w**2 + b*w**3 + k*w**4 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - m**4 + 4)*(27 + 32*m - 33*m + 10).\nAnswer: m**5 - 37*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-13 + 8 + -2 - -10 - 1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -1607?\nAnswer: -1607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*c = -48050, i - 3*c = -i + 48071. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 6*p**2 + 4*p + 1. Calculate h(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -18*g - 351. Is 9 a factor of d(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 11\/962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - ((-2 - 1 - (41 - 40 - -2)) + 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 6 - 10. Suppose 0 = h*n - 5*s - 7, 5*n + 3*s + 0*s - 95 = 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from qjmtqqbqbqbbqobt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25174 - 177?\nAnswer: 24997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1001011000110101010?\nAnswer: 1001011000110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1548 divided by 6?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003953692 rounded to 6 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 7114, -1, -1.7, 5, 1?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 26 + 31*n - 72 - 35 - 66*n. What is v(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-142)\/1349 - (-96)\/1539*4\/8?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.155 - 24.445. Let d = 25.1 + w. Which is the closest to 2? (a) 0.1 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 2. Let x be g(6). Suppose -4*w = -0*w - 3*b + 23, 3*w + x = 2*b. Let u(k) = -2*k - 1. Give u(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhzb when four letters picked without replacement from ihzzaazqhhb.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60167 divided by 187.\nAnswer: 60167\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1149, -2299, -3449, -4599, -5749?\nAnswer: -6899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 = 2*s + 5*j, -2*s - 2*j + 4 = 0. Let r be (s\/15)\/((-1)\/(-6)). Suppose r*b = 105 - 25. Calculate the highest common divisor of b and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4345\/(-165))\/(2\/(-6)). Is g != -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 5*h. Suppose -4*g + 5*g = -3. Let r be q(g). Suppose -p = -r + 1. Solve -22 = p*k + 4*v, -4 = v - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1002*n + 330*n + 348*n - 34*n**2 + 324*n.\nAnswer: -34*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w = 23*w + 8. Let q be (-22)\/(-4) - 2\/(-4). Let m(o) = -2*o**2 + q*o**2 + o**w + o - 8*o**2. Give m(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 11:40 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 86 - 74 + 3*n**2 + n**3 - 3*n**2 wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from lmrrmmmr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*g + 100, 3*b + 3*g + 21 + 15 = 0. Let i = b + 35. Calculate the greatest common divisor of i and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 0*x + 4*o - 22, 0 = 5*x + 5*o - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132867, -132851, -132835, -132819?\nAnswer: -132803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2 + 0*j + j + 6 + 0*j. Let a(w) = -3*w - 15. Let z(c) = 2*a(c) + 5*x(c). Let k be z(6). Solve -3*v + 12 = -3*h, -3*v + 2*v + 4 = -k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4 = 0, -9*k + 8*k + 2*p = -124. Let h = 39 + k. What are the prime factors of h?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, 1\/2, -2, 1, 3\/7?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 5:18 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 23*n**2 - 22*n + 4. Let j be h(-22). Let c(f) = f**2 - 5*f. Give c(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 + 3*a**2 - 8 + 32*a - 7*a - 5*a**4 - 26*a + 3*a**4 + 2*a**3 in the form w*a**4 + d*a + t + l*a**3 + c*a**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 16*j**2 - 743*j + 262. Does 15 divide h(77)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 3:20 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1408*t - 1619*t - 418414 + 57314 = 898*t for t.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -12. Let d be (-5*3\/30)\/(-2). Which is the closest to -0.1? (a) 3 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - 2*sqrt(3)*4 - sqrt(9)\/(-1*sqrt(3))) + 4)*-6.\nAnswer: -24 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert a025b2 (base 12) to base 2.\nAnswer: 1001100000100011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**2*s**3*x + 1530844*k**2*s*x - k**2*x - k*s**3*x + 5*k*s**3 - 234*k*s**2*x + 89*k*s*x + 4*k*x wrt k.\nAnswer: -6*s**3*x + 3061688*s*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -10*n - 88. Let h(b) = 2*b + 16. Let z(w) = -22*h(w) - 4*l(w). Let c(t) = -16*t - 2. Give z(c(y)).\nAnswer: 64*y + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 154, 151, 150, 151, 154?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - 20*j**2 + 18*j - 11. Let q be f(-11). Calculate the greatest common factor of q and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -3\/7, -0.098, 5, 0.08, 16, -0.1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 576405.331 to the nearest 1000.\nAnswer: 576000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6212*a - 6080. Give i(-1).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43220 (base 7) in base 10?\nAnswer: 10745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 390*m**4 - m**3 + 232*m + 501646 wrt m?\nAnswer: 1560*m**3 - 3*m**2 + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 u, and 1 d when four letters picked without replacement from {v: 2, p: 1, u: 4, d: 1, m: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110000000001001110100 (base 2) in base 11?\nAnswer: 328a481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1471258193 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 478 + -476. Factor 5*f**4 + 1918*f + 30 - 35*f**3 - 680*f - 689*f - 634*f + 85*f**b.\nAnswer: 5*(f - 3)*(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*t**3 + l**2*t**2 + 22*l*t**3 + 909*t**3 with respect to l.\nAnswer: 2*l*t**3 + 2*l*t**2 + 22*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, u: 2, i: 2, k: 9}. What is prob of picking 1 i, 1 q, and 1 u?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -154, -229, -304, -379, -454?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -17. What is the remainder when 52 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 3*k + 20 = 0. What is the highest common divisor of k and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -3\/2, -1 in descending order.\nAnswer: 20, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149, -0.2, 0.033.\nAnswer: -0.2, 0.033, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7494?\nAnswer: 2, 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 898 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -52 (c) 4 (d) 0.4495\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 63, 102, 115, 90, 15, -122, -333, -630?\n\"Answer: -2*p**3 - p**2 + 56*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*y + 13*y + 504 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*m = -0 - 20, 2*p + 5*m = 20. Suppose 2*v + p*v - 27 = 3*h, 7 = -3*v - 5*h. Calculate the remainder when 10 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*o - 0*r + r, 2*o - 2*r = 6. Suppose -m + 5*m = -12. Let p be (o - -2)\/(m - -6). Is -1 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 5\/2*w**2 - 5*w + 1\/6*w**3 + 1\/20*w**5 + 1\/2*w**4 + 0. Let u be s(-6). Which is the closest to u? (a) -0.5 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + 12 + -1 + 16\/(-4) + 8981 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3079 is divided by 738.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592591?\nAnswer: 19, 31189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*f**2 - 800*f.\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4592*l - 4*d + 22 = 4595*l, 3*d = 2*l - 43. What is the smallest common multiple of 5950 and l?\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328 (base 12) to base 16.\nAnswer: 1d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3)*-3*0. Suppose b = 6*s + 48 + 42. Let u be (-6)\/s - 312\/(-20). What is the highest common divisor of u and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121 * 0.4.\nAnswer: -48.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.57277 millilitres in litres?\nAnswer: 0.05157277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 10*z + 3*w, -5*z + 2*w + 9818 = 9840 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20810 - 20810 - 5*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from mpyipmpiiqiiqipihhii.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 704 + 627. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 220 - 202. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**3 + 6*v**2. Let s be (-4)\/((-2)\/(-3)*-3). Let a = 25 + -18. Let d(y) = -11*y**2 - 6*y**3 - s*y**2 + 2*y**3 - a*y**3. Calculate 13*b(j) + 6*d(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, n: 1, t: 5, r: 1, i: 1}. Give prob of picking 1 t, 1 n, and 1 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.8338\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2049218*m**5 - 61*m + 3782 wrt m?\nAnswer: -40984360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8396 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -483 - 71?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22236 a multiple of 436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82 - -84. Let b(h) = -h**3 + 2*h**2 + 2*h - 1. Determine b(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*k, 0*d - 3*k - 1151 = -2*d. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.8376 to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 4\/2753, 152\/21 in increasing order.\nAnswer: 4\/2753, 4, 152\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 710927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 919 + -919.00000902. Round o to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1559208500?\nAnswer: 2, 5, 3118417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591270.\nAnswer: 2, 3, 5, 19709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**14\/(t*t**(2\/7)))\/((t\/t**7*t)\/(t\/(t\/((t*t**(5\/3)\/t)\/t)))))**43 assuming t is positive.\nAnswer: t**(16598\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 8:25 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-5 - (-6)\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 0*j**4 + 0*j + 0*j**3 + 0 + 0*j**6 + 1\/210*j**7 - 1\/30*j**5 + 8*j**2. What is the third derivative of d(g) wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1927, 3852, 5775, 7696?\nAnswer: 9615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.91 - 0.09. Let q = 1.3 - 6.3. Let f = q - g. Put -0.3, f, 4\/3 in ascending order.\nAnswer: f, -0.3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 630*k - 266806. Give j(-920).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/11)\/((-4905)\/143880)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298 + 282*c**2 - 298.\nAnswer: 282*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*u**3 - 4266010*g**2*u - g**2 - 50*g*u**3 + 190765*u**3 wrt g?\nAnswer: 4*u**3 - 8532020*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 14*y**2 - y - 11. Let m be v(10). Suppose 5*z + q = 3425 - m, -q = -1. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 2*i**3 - i**2)*(3*i - 4*i + 0*i) + 41*i**4 - 37*i**4 + 43*i**4 + 2 - 2*i**4 - 2.\nAnswer: 47*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**4\/7 + 43740*g**3\/7 + 1396816*g**2\/7 + 1919376*g + 4884544 = 0. Calculate g.\nAnswer: -10903, -14, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13061 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1666\/343 - (-1)\/7 - 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -219, -2, 13158, 4\/3 in descending order.\nAnswer: 13158, 4\/3, -2, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2, -67, -1156 in ascending order.\nAnswer: -1156, -67, -18, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -32?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -5187, 5, -8 in descending order.\nAnswer: 5, -5, -8, -5187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Suppose -13 = -3*g + h*i + 11, 3*g - 26 = 5*i. What is the remainder when 18 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/811000 and -7\/6702104.\nAnswer: 837763000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2.7 + 136251236\nAnswer: 136251238.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t. Let s = 4 - 2. Let g(c) = c**s - 19*c + 19*c. Determine g(q(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.462 * -12.9.\nAnswer: 5.9598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 220549001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12447.36 + 0\nAnswer: 12447.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o*o**(-4\/3)*o)\/o**(-1\/4))\/(o*(((o\/(o\/o**4))\/o)\/o)\/o*o*o*o**(1\/3)))\/(o**(3\/7)*o\/(o*o*(o**(1\/6)\/o)\/o))**(-5\/12) assuming o is positive.\nAnswer: o**(-449\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1521*x**2 + 762*x**2 + 761*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**6\/900 - g**5\/300 - g**3\/6 - 8*g. Let d(q) be the second derivative of f(q). Determine n so that d(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + ((-2*sqrt(16)*-2)\/(sqrt(968) - (sqrt(968) + (sqrt(968)*-2 - sqrt(968)))) - ((sqrt(224)\/(sqrt(7) - sqrt(175)))**2 + 1)).\nAnswer: -5 + 4*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(2\/4 + -1). Let x(s) = s**2 + 4*s + 2. Let z be x(-3). What is the units digit of (r - z) + 0 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Let x(v) = 45*v - 72. Let a(w) = -8. Let z(p) = 36*a(p) - 4*x(p). Calculate z(o(c)).\nAnswer: 180*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjjjjj. Give prob of picking 2 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 + -11 + (0 - -11). Let r = -5 + v. Calculate the remainder when 17 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4\/4 + 279*c**3\/4 - 1656*c**2 + 1587*c.\nAnswer: -3*c*(c - 46)**2*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 9:06 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16 + 4\/(-20)*0. Suppose -b*y = -14*y - 28. What is the remainder when 27 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 513.6 + -517.6. Which is the second biggest value? (a) 2 (b) 0.538 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-1 - (-14)\/4). Suppose 0*u = -f*u, 3*u + 40 = 2*q. Let b be 12\/q + 2\/5. Put b, 5, 0 in increasing order.\nAnswer: 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**6\/300 + 19*s**5\/150 - 2200*s**2. Factor b(g).\nAnswer: 2*g**2*(g + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrj when three letters picked without replacement from jrrr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6129416 is divided by 13383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 277\/5, 0.6, -0.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -8221345694443 and 80.\nAnswer: -8221345694363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 128, 138, 158, 188, 228?\n\"Answer: 5*y**2 - 5*y + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 3) in base 4?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -144\/29?\nAnswer: -144\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 12*d**2 + d + 3. Let q be m(2). Suppose 17 = 14*x - q. Solve x*y + 14 + 6 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11\/2946 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 9:40 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 283141370 and 1060?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.28, 178, 110 in ascending order.\nAnswer: 0.28, 110, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = 12 + 33 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 - 10*m + 491. Determine h(0).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((9\/2)\/(-3)). Let m = 8 - 8. What is the second biggest value in 2\/7, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28660 is divided by 5731.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d + 141. Let x be o(24). Sort -1, 1, x in increasing order.\nAnswer: -1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 547100*n**2 + 1094215*n - 547110.\nAnswer: -5*(n - 1)**2*(n + 109422)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*t - 376, 0 = u - 4*u - 12. Calculate the highest common factor of 20 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arradrrd. Give prob of sequence dad.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37215.\nAnswer: 3, 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*o = 17891, -h + o - 11942 = -3*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, k: 5, l: 1, o: 9}. What is prob of sequence uu?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4. Let p(v) = 1. Let q(n) = a(n) + 3*p(n). Let m(u) = -3*u - 1. Suppose -5*g = 11 - 6. Determine g*q(j) + m(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.42 + 2.58. Which is the third smallest value? (a) r (b) 0.4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -21*q. Let j(z) = 75378*z**2. Determine j(t(n)).\nAnswer: 33241698*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -240, -295, -386, -513?\n\"Answer: -18*v**2 - v - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1069733*x + 2. Let c be d(-3). Let o = c + 2199197. Round o to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -44, 26, -24, 3 in increasing order.\nAnswer: -44, -24, -1, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5102228 and 1426.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 16, 205, -35 in ascending order.\nAnswer: -35, -4, 16, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.19 in 2097, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 2. Let i be d(-3). Solve 3 - i = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/27))**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-591)\/(-15) - (-6)\/(-15). Let x = c - 4. Let t = x + -20. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -6. Suppose 2*s = 3*c + q, 4*c = 2*s + 5*c + 3. Solve -2*j + s = -6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.8 (b) 675 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 733*l**2 + 33 - 731*l**2 + 3*l**4 + 21 - l**4 + 7*l - 2*l to the form u*l**3 + s*l**4 + q*l**2 + k + i*l and give k.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4379308 + -4379307.95399839. Let v = k + -0.046. What is v rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2. Let p(r) = -15*r + 3*r - 9*r - 5*r. Determine p(u(b)).\nAnswer: -52*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6 = -4*d + 22, -1 = -4*o + 5*d. Is (-181)\/((2\/o)\/((-3)\/2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 438 = 5*o, 0 = 4*d + 4*o - 3*o - 1773. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 27282?\nAnswer: -27283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 - 3*o + 0*o - 7*o**3.\nAnswer: -6*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 109*w**2 - 809*w + 971. Calculate x(61).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpbb when four letters picked without replacement from {p: 9, b: 5}?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 72\/(3 - 7). Let f be 1 - (-5)\/((-75)\/l). Which is the smallest value? (a) 4 (b) -1\/6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d - 8. Suppose 4*h + 40 = c - h, 5*h - 60 = -4*c. Suppose 0 = -3*q + 3*b - 6, -2*q = -6*q + 2*b. Suppose -q*i + 1 = 3*l - 7, c = -4*i. Give f(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*u**5 - 5*u**5 + 8*u**5 - 18*u**2 + 15*u**2 wrt u?\nAnswer: 1560*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(3\/10)*c)*c**(-23)*c**(12\/13)*c*c**(-28) assuming c is positive.\nAnswer: c**(-6419\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (-2)\/(-4)*2. Let y be (174\/9)\/(i\/12). Suppose 3*j + 2*m = j + y, -113 = -4*j - 3*m. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-15)*(x*x\/(x*x**6)*x)\/(x\/x**1)*(x\/(x\/(x**(-2)*x))*x)**0\/(x\/((x\/(x*x**8))\/x)*x**(1\/7)) assuming x is positive.\nAnswer: x**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -128*u + 8321. Calculate c(65).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**10\/1890 + 11*d**7\/1260 + d**4 - 6*d. Let j(v) be the third derivative of c(v). Find the third derivative of j(t) wrt t.\nAnswer: 960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6054.\nAnswer: 2, 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3766)\/58 + (-945288)\/(-3306) + -286?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*21\/(-112)*(-48)\/252?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8636405001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.91731 to two decimal places.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**16)**41 assuming g is positive.\nAnswer: g**(-615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10450 and 544190.\nAnswer: 568678550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Let m be 3 - ((-1022)\/66 - b). Let o = m - -24\/11. Calculate the common denominator of o and -83\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4 - 11. Let z(y) = -y**2 - 8*y - 8. Let h be z(-6). Suppose -h*f = -t*f + 14. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 25, 2*y = 2*d - 7*d + 59. Suppose -2 = -r + y. Suppose 7*m + 15*m = 127 - 39. Calculate the least common multiple of m and r.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 1823?\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (18 + -2 + -27)) + -2 - 28\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98061554 and 2775327?\nAnswer: 294184662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 414?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 8*r**2 + r - 3. Let g be t(8). Suppose 3*k - 5 = -2. Put k, g, 4, -4 in descending order.\nAnswer: g, 4, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002640636117 to 6 dps.\nAnswer: 0.002641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - f**2 + 2*f + 1. Let c(q) = 5*q**3 - 4*q**2 + 11*q + 4. Determine -2*c(d) + 11*z(d).\nAnswer: d**3 - 3*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 8*n - 5. Let v be w(7). Let g be ((-12)\/14)\/(v\/21). Let s = -172 + 1207\/7. Which is the biggest value? (a) -2 (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -943*m + 1891*m - 947*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 6. Calculate i(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 42.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t. Let b be p(2). Let s(r) = r**2 + r + 3. Let q be s(0). What is the greatest common divisor of b and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 - 0.3\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 495 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -8, -36 in increasing order.\nAnswer: -36, -8, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 33 = -2*c, -2*r - 14 = 118*c - 117*c. Sort 2, 33, 4, r.\nAnswer: r, 2, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 725 and 580.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199720 (base 10) to base 12.\nAnswer: 976b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/20 + 1\/4. Let v(y) be the first derivative of 0*y + 0*y**2 - 2\/3*y**3 - c*y**5 + 0*y**4 - 2. What is the third derivative of v(a) wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 12:23 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 3:53 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -2. Suppose 2*a = -3*z + o*a, 5*z = -4*a. Solve -b + 2 - 12 = -5*c, z = b + 3*c - 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, 13, 44, 95, 172?\n\"Answer: x**3 + x**2 + 7*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-440))\/((-15)\/80)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4833361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 184 - 100. Calculate the remainder when f is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 3 - 1) + (0 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1465 and -0.2.\nAnswer: -0.3465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*n**2 - 6*n**2 + 5*n**3)*(4 + 0 - 3)*(1 - 3 - 1) as v*n**2 + w*n**3 + z + s*n and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 0. Let l = 9\/4 - 23\/12. What is the nearest to o in -0.5, l, 4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009256 to five dps.\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6002*g**2 + 120*g - 6. Let d(a) = 12005*a**2 - 260*a + 13. Determine -6*d(x) - 13*o(x).\nAnswer: 5996*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -14. Suppose -b*i = -8*k + 3*k + 127, -i - 3 = 0. Let t = k + -21. Solve 0 = 2*a + t*a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -5\/11, 5, -1, 1 in increasing order.\nAnswer: -5, -1, -5\/11, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -63.74 and 0.08.\nAnswer: -63.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 11 - 4*k + 2)*(-2*k - 2*k + 6*k).\nAnswer: -8*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 3*c**5 - 6*c**5 + (3*c**2 + 0*c**2 - 4*c**2)*(c**3 + 0*c**3 + c**3) + c**5 + 2 - 2 - 674*c**5 + 236*c**5 + 42*c**5.\nAnswer: -399*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -15.1248.\nAnswer: -75.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -16*k + 6. Let y be m(-7). Let o be ((-2)\/(-35)*7)\/(y\/10). Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -281895121, -281895124, -281895129, -281895136, -281895145?\n\"Answer: -z**2 - 281895120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6) - (-64)\/(-114). Let s be (10\/8 - (-5)\/(-4))\/(-1). What is the closest to s in 3, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - i + 3 = 0, -2*i = 1373*l - 1370*l - 9. Let p be 4\/(-584)*(-2)\/2. Is p less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4. Suppose 2*j + 4 - 34 = a. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 17510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 467 - 471.99. Let z = 0.01 - b. Sort 0, -5, z in decreasing order.\nAnswer: z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2590876 is divided by 836.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1121 - -1125. Let i = 1 + 1. Let l(y) = y**3 + y - 2. Let u be l(i). Solve m*r - u = -28 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {z: 1, l: 4, b: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**3*t**2 - 20566489*b**3*t - 51*b**3 + 4*b**2 + 6018*b - 3*t + 16 wrt t?\nAnswer: 4*b**3*t - 20566489*b**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 != 5173\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*3\/6 + 21. Suppose u - n = -3*a, -a + 2*u = -2*a + 15. Solve 2*d + 9 + 11 = 4*c, a*c - 7 = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-28)*a)\/a)**(-45)\/(a**(-15\/8)*a*a**21*a) assuming a is positive.\nAnswer: a**(9911\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5462943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3*(-36 + 6). Let o(y) = -y**3 + 11*y**2 - 11*y + 15. Let l be o(g). Solve -16 = -b + l*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t. Let m = 4 + t. Solve d = m*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z. Let m(i) = 18474 - 18474 - 22*i. What is m(s(n))?\nAnswer: -44*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 4*i + 10. Suppose -r = -3*z - 24, -7*z + 12*z + 40 = 5*r. Give j(z).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2632051284?\nAnswer: 2, 3, 457, 479951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1818 is divided by 101.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i + 420 = 64*i - 60*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1488 and 5828.\nAnswer: 69936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -87, -74, -57, -36, -11?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**2 + o**2 + 2*o**2 + 34*o + 593*o to x*o**2 + v*o + p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2559 and 0.5.\nAnswer: 0.62795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b + 9. Let v be n(-8). Let c(l) = 13*l**2 - 9*l + 9. Let u be c(1). Suppose -56*g + u = -55*g. What is the highest common factor of v and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23648 by -36893.\nAnswer: 23648\/36893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 23. Let a(v) = -8*v + 125. Let y(g) = -a(g) + 5*l(g). Calculate y(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + g**2 + g - 2. Let a be d(-2). Let h = 212 + -208. Calculate the greatest common factor of h and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 - 96 = -16*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 113422 (b) -5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706998 is divided by 509?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (147*v**2 - 337816*v + 337816*v)*(-9*v - 10 + 10)*(-v + 3*v - 3*v).\nAnswer: 1323*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/15 and -121\/697150?\nAnswer: 2091450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -13*i + 2. Let g be h(-1). Let k(s) = -s**2 + 14*s + 19. Calculate the least common multiple of k(g) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5ec9d (base 16) to base 6.\nAnswer: -12153245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**3\/4 - 3825*l**2\/2 + 4876875*l - 4145343750 = 0.\nAnswer: 2550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -30254 at least as big as -211782\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 10762600?\nAnswer: -10762587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 7 + 4. Let k(c) be the second derivative of 2*c**3\/3 + 3*c**2\/2 - 2*c. Is k(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - 18 - (9 + -17 + -2 + 5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 554.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twelve sevenths of a week?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7001 (base 9) to base 7.\nAnswer: -20611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 12 = 118. Suppose -2*f + 3*f - s = 0. Solve 10 - f = 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.4 and 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c. Let u(p) be the second derivative of 0*p**3 + 0 + 11\/6*p**4 + 0*p**2 - 117*p. Calculate u(a(i)).\nAnswer: 1078*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-2)\/(-8)*64\/40). Suppose x*c - 16048 = -2218. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.1. Let w = 0.09 + 6.91. Let x = w - 6.7. What is the nearest to 1\/4 in x, -2, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118139, -236279, -354419, -472559, -590699, -708839?\nAnswer: -826979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 751 + -483. Calculate the remainder when y is divided by 91.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 2)\/(5\/20). Let i be (-9)\/((-15)\/40*o). Let g be i\/15 - 55506\/(-15). Round g to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/243?\nAnswer: 1\/243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 4, -18, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 5*z + 7*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 9*w - 5. Let p be i(-3). Let h be (-4)\/(-26) - 41\/p. Which is the nearest to 2\/9? (a) 0 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 + 5 + 43 = -7*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22276 - -22276. Sort v, 3, -5, -4, 5.\nAnswer: -5, -4, v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -488, -820, -1156, -1496?\nAnswer: -1840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s**3 + 2*s**3 - 95*s**2 + 97*s**2.\nAnswer: -16*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5034263*c**4 - 13593163 with respect to c.\nAnswer: 20137052*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000142 to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 98*m**2 - 9666*m - 150174.\nAnswer: 2*(m - 103)*(m + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -679 (b) 3 (c) -1\/10 (d) 469\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/((-2)\/(4\/(-6)))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3*y)**12*(y**(2\/17)\/y)\/(y\/(y\/(y*y\/y**9*y))) assuming y is positive.\nAnswer: y**(903\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108983 - 36081 - 36073 - 4*o - 36829.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 0.2 (c) 3 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Suppose p = 4*d + 11, -5*m - 2*d = -341. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - -105) + -124 - -73.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 6*x - 1. Let c = 12 - 9. Suppose -s - 15 = -c*d + 4*s, d - 5 = -2*s. Let p be y(d). What is the highest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 144, 245, 376, 531, 704, 889?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.04 - -4. Let r = 0.26 - z. What is the closest to -1 in 4\/3, 2\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-82)\/(-2))\/((-1)\/4). Let c = 401 - 397. What is the remainder when c + 24\/(-4) - a is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1255472 to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-32))\/(3\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*x - 105. Calculate the least common multiple of 6 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(11\/(110\/(-40)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7519123057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8817900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 25 = 0, 3*x = -2*m - 3*m. Sort -16, -2, m in decreasing order.\nAnswer: m, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81.33 + 60.67. Sort -0.3, g, 2.1 in decreasing order.\nAnswer: g, 2.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1872? (a) 9 (b) -164 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 299 - 298. Is (p\/(3 + -2))\/((-1)\/(-10077)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(22)*1*-1 + (-2*sqrt(88)\/sqrt(4) - sqrt(22)))\/((sqrt(3456)*1 + sqrt(3456))\/(sqrt(192)*-4)))**2.\nAnswer: -2816\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 200954708 - 264.\nAnswer: 200954444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 + 4*p**2 + 6*p. Let x(s) = 4*s**2 - 4*s**3 + 5*s**2 + 161 - 161 + 13*s. Let v(b) = -5*o(b) + 2*x(b). Factor v(r).\nAnswer: 2*r*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24051\/10120 - 2\/1265. What is the common denominator of -49\/12 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-9)*5)\/((-1555)\/(-5598))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12168 = -4*n + 21950, -3*n = -b - 25596. Suppose n = -9*p + 39410. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 + 3*s + 3. Let y(f) = 3*f**2 - 2*f - 2. Let n(t) = -2*c(t) - 3*y(t). Let q(d) = -2*d**2. Let h = 2610 - 2627. What is h*n(u) + 6*q(u)?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. Suppose -3*n = 3*d + 18, -2*n = m*d - d + 12. Let f be 3\/9 + (-1)\/n. What is the closest to f in -3\/7, -4, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354588 a multiple of 1095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/2)\/(110\/(-11)). Let u = 16 + -28. What is the biggest value in -2, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 4*x = -11*q - 56, -4*x - 8 = q. Calculate the smallest common multiple of q and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + t, -4*t = 2*n + 2 + 4. Suppose n*b + 0*f + 22 = 5*f, b + 14 = 3*f. Is b smaller than 2\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 4*l**3 - 4*l**3)*((5 - 4 - 2)*(3 - 3 + 2) + 0 + 2 - 3 + 1 + 0 - 3).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 4*f**2 - 11*f + 11. Let s be k(-6). Solve n - 24 = s*n - 4*v, 4*v - 28 = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from zcvvhvzzvzz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 944 and 30916.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*(sqrt(152) - -1*sqrt(152)*2 - sqrt(152)))\/(5*sqrt(8)*-1*-1).\nAnswer: -12*sqrt(19)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/2241 and -143\/162?\nAnswer: 13446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 29*u + 191. Give w(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15554000 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 64583556 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 4*m - 120. Suppose -j - 5*c = -2*j - m, 0 = -5*j + 2*c + 65. Let w be (-6 - -3)*-1*25. What is the highest common factor of w and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + x - 5 = 0, 2*x - 10 = 16*c - 19*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9. Let p be (-8)\/3*36\/16. Let b(m) = m. Let o(c) = p*b(c) - x(c). Let n be o(8). Round n to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i**2 - 3*i + 1. Let r(v) = -v**2. Let y(k) = 6*r(k) - s(k). What is y(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 2:58 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1320, -2656, -4006, -5376, -6772, -8200?\n\"Answer: -m**3 - m**2 - 1326*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (4 - 1) - (11 + 12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -19*d**5 - 48*d**4 - 435*d**3 - 1099*d**2 - 1008*d - 324. Let h(p) = -2*p**5 - p**4 - 2*p**2. Let r(t) = 18*h(t) - 2*o(t). Find v such that r(v) = 0.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 8) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/125*60*2\/(12\/(-6)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11492 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(216)*-6)\/(sqrt(8) + (-2*sqrt(32)\/sqrt(4) + sqrt(8) - sqrt(8))) + 3.\nAnswer: -18*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2430000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.6 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 458239 or 458278?\nAnswer: 458278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1054 in -5, -2\/11, -180, -0.3?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = -55*x + 21*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 6:46 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 392 + -672. Let d = s + 285. Which is the nearest to d? (a) 0.3 (b) -0.03 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 516.4139 + 0.5861. Which is smaller: x or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -454*j + 6858. Give u(15).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55608547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 205 divided by 1\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(1\/(-2) - (-5)\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n*n*(n\/(n\/n**(2\/45)))\/n*n*n*n)\/n)\/n)\/n*(n\/(n\/n**(-1\/17))*n)\/n)**(-16\/5) assuming n is positive.\nAnswer: n**(-24304\/3825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7533\/40 + -1505\/8. Sort y, -1\/50, -0.2 in increasing order.\nAnswer: -0.2, -1\/50, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + o + 12. Let g be (2\/6)\/((-4)\/o). Is g at least as big as -0.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - u**2 - u - 6. Let l(h) = 193*h**3 + h**2 + h. Calculate l(i) + 2*v(i).\nAnswer: 191*i**3 - i**2 - i - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**6\/45 + 7*j**5\/40 + 8*j**3\/3 - j. Let a(n) be the second derivative of s(n). Find the second derivative of a(q) wrt q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.01 (c) -2\/7 (d) 3921596\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*t - 258*t + 2510 = -47*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, r: 3}. What is prob of picking 3 r and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43334 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 3, -2\/7, -0.229, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/21)\/j**(-1\/7)*j**(-2)\/j**(-4) assuming j is positive.\nAnswer: j**(47\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 3 (c) -2\/15 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - 0. Let q = -0.06 - g. Which is the closest to q? (a) -1 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*(11*66\/121 + -10)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -115, 4, -7, -98, 1 in increasing order.\nAnswer: -115, -98, -7, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5321 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5707365 * -3\nAnswer: 17122095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -23. Let o = 22 - k. Suppose -o*n - n + 208 = 0. Does 26 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 20. Suppose g*l + 2*l + 5*c = 24, 0 = 2*l + c - 32. Let z = l + 6. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 3*s. Suppose 2*o + 31 = 7*o + s*u, -2*o - u + 13 = 0. Let g(y) = -9*y. Calculate the remainder when g(-1) is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -3)\/(-1 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.24 - 0.46. Let j = -11 - d. What is the second biggest value in -4, j, -1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - v**2 - v + 1. Let g(d) = 23*d**3 + 115*d**2 + 115*d - 115. Give 2*g(i) + 230*r(i).\nAnswer: -184*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 207*u*z**4 + 4*u*z**3 + u*z**2 + u*z + 2*z**2 + 434*z - 35235 wrt z?\nAnswer: 2484*u*z**2 + 24*u*z + 2*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**3 - 396*h**2 + 5568*h + 228752 = 0. Calculate h.\nAnswer: -17, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 138 = -5*c. Let y = c - -48. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afc when three letters picked without replacement from {a: 3, u: 2, c: 1, f: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, u: 3, i: 8}. What is prob of picking 2 o?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 9:17 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -319, 4, 0, -2 in ascending order.\nAnswer: -319, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -589900.00014 + 589892. Let h = -0.4 + 8.4. Let k = l + h. What is k rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + 9 - -59) + -175.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -14305\/39421?\nAnswer: -14305\/39421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g - 2*r + 242 = -18*g, g + r - 49 = 0. Suppose -2*b + 11*b = -g*b. Solve b = -15*i + 9*i - 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 6*j**2 - 2*j - 2. Let a be k(-3). Solve 2*m - 4*m - 8 = -4*o, 0 = 2*o + m + a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - c**4 + c - 4*c - 2*c**4 + 4*c**4 - c**4 + (1 - 2*c**4 - 1)*(0 - 3 + 2) + c**4 + 1 - 1 + c**3 - 12*c**4 - c**3)*(6 - 1 - 2).\nAnswer: -27*c**4 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3246, 3221, 3194, 3165, 3134, 3101?\nAnswer: 3066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 783217 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-5)*((-22)\/55)\/(12\/(-15))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 198.11287 to 1 dp.\nAnswer: 198.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6919617 to the power of 1\/2, to the nearest integer?\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.46451 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 767851095 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.37 and -62.\nAnswer: -22.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20)\/30 - (-11)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 7*d - 9. Let r be w(-8). Let z(p) = -3*p**2 - p - 1. Let s be z(r). Sort s, -1, 3.\nAnswer: s, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + -9 - 13\/(-12). Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 181 and 15.\nAnswer: 2715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**5\/60 + 7*l**4\/24 + 4*l**3\/3 + 11*l**2 + 13*l. Let p(u) be the first derivative of x(u). Calculate p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilg when three letters picked without replacement from {l: 4, c: 9, g: 2, i: 4}?\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, i: 6}. Give prob of picking 3 r.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f + 2. Let n be v(-2). Let m = n + -3. Put -2, m, -5 in decreasing order.\nAnswer: m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8109 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 936335.\nAnswer: 5, 401, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + n - 3)*((n - 4*n + 2*n)*(n**3 + n**3 - 4*n**3) - 29587520*n**2 + 29587520*n**2 - 942*n**4).\nAnswer: -940*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*f - 3, -5*f + 18 = -s. What is the third derivative of 161*r**3 + 3393*r**4 - 1697*r**4 - 1697*r**4 - 95*r**s wrt r?\nAnswer: -24*r + 966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-1\/7)*h**(1\/7)*(h\/h**(1\/2))**(2\/45)*(h\/(h**(-2\/11)*h))\/h*h**(-3)*h\/h**(-1)*h*h*h*h*h*h*h*(h\/(h\/h**(1\/2))*h)\/h assuming h is positive.\nAnswer: h**(6637\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(0*u**3 - 3*u**3 + 2*u**3 + (u + u + 0*u)*(-4*u**2 - u**2 - 2*u**2) - 4*u**3 - 3*u**3 + 5*u**3).\nAnswer: 51*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -231*k**4 + 8*k**3 + 6*k**2 - 4*k - 4905269?\nAnswer: -924*k**3 + 24*k**2 + 12*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(15\/(-6)) + -3 + 119. What is the greatest common factor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 21*v - 6. Let g be f(11). Let l(t) = -2*t**2 + 5. Let h(x) be the first derivative of -x - 1. Determine g*h(w) + l(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1c648 (base 14) to base 3\nAnswer: 10200120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 5*d**2 + 637*d + 9*d**2 - d**2.\nAnswer: 2*d**2 + 637*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (4 - 9) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -58*n. Let t(q) = 465*q. Let c(x) = -4*t(x) - 31*y(x). Let p(k) = 2*k**2. Determine p(c(s)).\nAnswer: 7688*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341 + 57 + 67 + 161 - 20*n + 12*n + 54.\nAnswer: -8*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.94 - -0.06. Let m = -4 + d. What is the closest to m in -5, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 8:18 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 977*f + 333 + 1153 - 10279 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31785 and 38142.\nAnswer: 190710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919377948 to the power of 1\/2, to the nearest integer?\nAnswer: 54031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -34. Let x be 107\/15 + (-8)\/60. Let s = -5 + x. Solve 3*w = s*w + 4*y + i, 2*w = 5*y + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 + (-4455)\/110)\/((-3)\/(-474))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -165, -164, -169, -186, -221, -280?\n\"Answer: -b**3 + 3*b**2 - b - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**11)**10\/(u\/(u\/((u**5*u*u)\/u))*u*u)**(-28))**14 assuming u is positive.\nAnswer: u**1876","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*i**2 - 2)*(-1 + i + 1)*(3*i + 5*i - 4*i) in the form d*i + r*i**3 + q*i**4 + t*i**2 + a and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0. What is the second biggest value in z, -1\/4, 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100 - -1000010?\nAnswer: 10000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**5*p**2 + 44856*f**5 + 10*f**2*p**2 + 4226*f*p**2 wrt f.\nAnswer: -120*f**2*p**2 + 2691360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*i - 13012 - 10924, -23908 = -4*q - 4*i. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 202\/3*i**3 + 0*i**2 + 0*i**5 + 93\/7*i**7 + i + 0*i**4 + 24 + 1\/6*i**6. What is the third derivative of l(u) wrt u?\nAnswer: 11160*u**3 + 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 + (-96 - -63) - (0 + 3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**5\/300 - q**4\/30 + 2*q**3\/15 + 9*q**2. Find x such that t(x) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 20 = -4*a, w - 6*a + 2*a = -20. Suppose -2*p - c = 11, w*p = p + 2*c + 1. Let l = p + 17. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/5 greater than or equal to -0.32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 18*i**2 - 158*i + 18. Give r(-12).\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2037, 2143, 2227, 2277, 2281, 2227?\nAnswer: 2103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 v when four letters picked without replacement from nhhhnnnv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + 164. Which is the smallest value? (a) f (b) 1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**3 - 30*a**2 + 2521*a.\nAnswer: -18*a - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3672*b**2 - 2154*b + 9. Let l(k) = -918*k**2 - 538*k + 2. Let g(z) = -9*l(z) + 2*o(z). Find the second derivative of g(s) wrt s.\nAnswer: 1836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -9*p**3 + 21*p**2 + 2*p - 7. Give t(3).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -413089, -5, 9 in decreasing order.\nAnswer: 9, 2, -5, -413089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0365 + -1.9635. Let h = -0.512 + 0.012. Which is the nearest to d? (a) 6 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -532297.0043 - -532236. Let u = -61 - c. Round u to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109581714967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103288951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -7 + 27. Let q = h - -10. Suppose -2*v = -q*t + v + 397, -365 = -5*t - 5*v. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.109 + -0.426. Let o = w + 0.035. Let i be (-1)\/1 - (-1)\/(-4). Which is the second smallest value? (a) i (b) -4\/9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -194*k + 187*k. Put k, -0.1, 5, 0.5, -16 in ascending order.\nAnswer: -16, -0.1, k, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1000)\/(-30) - 1\/3. Suppose -23 + m = 5*s. Solve -i + s*i = -5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -18)\/(0 + 1). Let c(n) = -n**2 - 5*n - 3. Let v be c(-2). Suppose -k - v*f - x = f, -5*f - 22 = 3*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*j + 5*j - 36*j + (-7*j + 4*j + 2*j)*(1 + 4 - 6 + (-1 - 3 + 3)*(1 - 4 - 2) + 2 - 1 + 0).\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 2*m - 2*m)*(-12*m + 4*m**2 + 12*m) + (2 + 3*m - 2)*(3 - 3 + 2*m**2) - 4*m**3 - 2*m**3 + 4*m**3 in the form n*m**3 + x*m**2 + c*m + g and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*2 + (-42)\/(-3). Suppose -1 = u - w. Suppose -4*r = 1 - u, 11 = 3*p - 5*r. Calculate the least common multiple of 9 and p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.000856 (b) -25 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 5:32 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 15 = 0, 5*i + 1617 = 3*o + 1622 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.4 times 576?\nAnswer: 5414.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43825 - -43824.32066. Let a = v + 0.68. What is a rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -408)*(-1 - 1). List the prime factors of 2\/4*-19*f\/10.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/(sqrt(24)\/sqrt(2)) - (-2*sqrt(96))\/sqrt(8))\/(sqrt(150)*-2*1 - ((-2*sqrt(150) - sqrt(150)) + sqrt(150))*5))**2.\nAnswer: 9\/800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/2 + 4 + -3. Let d be (-2 - w - -4) + 2. Let y be (-57600036)\/90 - d\/(-10). What is y rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**3 + 3*n**2 - 4*n + 4. Let h(v) = -v**3 + v**2 - v + 1. Let a(m) = -3*h(m) + w(m). What is the units digit of a(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 10*g**2 - 11*g + 5. Let t be ((-51)\/(-2))\/(2\/4). Suppose -18 = 3*d - t. Let a be q(d). Solve -a*z + 4*z = -4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/(-20))\/(-1) + (-2)\/(-5). Suppose -n*z - z + 96 = 0. Calculate the greatest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/(-54) - 5\/135)*(-11 - (160 - -7))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/5))**(15\/8))**(5\/4) assuming h is positive.\nAnswer: h**(-15\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*((-475)\/10)\/5. Suppose -t - y + 5 = 3*f, -3*t - 2 = f. Let g be (35\/280)\/((-3)\/9). What is the second smallest value in g, 0.3, 5, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 136*g + 8835. Let q be x(-65). Let m(z) = z**2. Let o(t) = 3*t**2 + 2. What is q*m(w) + o(w)?\nAnswer: -2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -1219.\nAnswer: -6\/1219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/1*(-2)\/(-2). Let y be (48\/14)\/(c\/35). Suppose 12 = 3*q, 3*l + y - 26 = -5*q. Round l to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19341 is divided by 3868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11544 and 238.\nAnswer: -2747472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -2\/9 (c) -4 (d) -5 (e) 0.16 (f) -90\/11 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 2 + sqrt(68) - (sqrt(68)*2)\/sqrt(4))**2 - (1 + sqrt(833)*1).\nAnswer: sqrt(17) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3104 and 3298.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 560 divided by -2\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-8)*6\/(-54))\/(63\/(-36)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68143352?\nAnswer: 2, 8517919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 762988574?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 260337\/2 + -130168. Factor 0 - 13\/4*n**2 + 5\/2*n + g*n**3 + 1\/4*n**4.\nAnswer: n*(n - 2)*(n - 1)*(n + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -380, -1\/405, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(30)\/sqrt(6) - (sqrt(605) + -2)**2.\nAnswer: -609 + 49*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 434170*v - 39115800.\nAnswer: 5*(v - 86924)*(v + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002232111962 to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 185249.9276 to the nearest 10.\nAnswer: 185250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2802, -0.4 in decreasing order.\nAnswer: -0.4, -6, -2802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*v + 10*v + 6 + 14*v**2 - 81 + 0*v.\nAnswer: 14*v**2 - 10*v - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2 (b) -2\/39 (c) 4.25 (d) -6 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.052 + -38.052. Let w = l - -38.1. Let p = 75 - 677\/9. What is the closest to p in -0.2, w, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000250827238 to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-17 + 17 + -20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 642, 1191, 1660, 2061, 2406, 2707, 2976, 3225?\n\"Answer: 2*v**3 - 52*v**2 + 691*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/18)\/(44\/66)*543\/29141\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130.3 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04649736 rounded to 3 dps?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysbyybb. What is prob of sequence bbby?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 302*z - 1. Give d(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -4. Let f be (6\/(-9))\/(4\/r). Let o be (-2)\/(-2*f\/183). Round o to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1769*u + 914*u + 16245 = 0 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -66053, -3, -9 in increasing order.\nAnswer: -66053, -9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3 + 3 + 3 - t - 6. Determine s(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11033232012 - -3?\nAnswer: 11033232021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -1586*p**5 - 742*p**3 + 2133. Find the third derivative of l(o) wrt o.\nAnswer: -190320*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1\/4 (b) -1\/27 (c) -2 (d) -1\/4 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1216\/7 (c) 0.5 (d) 1\/4 (e) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-20)\/6)\/(-5) + (-4200)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65885665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/11, 3, -7\/4, 1, -259?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = 3*q - 68, -4*w = -22*q + 13*q + 13*q - 24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1256164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*r + 24*r**2 + 26\/3*r**3 + r**4 - 9.\nAnswer: (r + 3)**3*(3*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7319814?\nAnswer: 2, 3, 97, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -1)*(-1925)\/(-1155). Suppose a = -4*a + 30. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 + 4*q**2 - 3*q + 2. Let u be s(2). Let o = 56385 - 56399. Which is smaller: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3298.89098 to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 983 greater than or equal to 1105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40821*g**3 + 165277*g**2?\nAnswer: 244926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (595\/(-179095))\/((-1)\/(-7))?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77655 + 25845.485.\nAnswer: 103500.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:25 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12344 - -12413. Solve 33 = 18*v + d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**7\/630 + 2*i**6\/45 - 11*i**5\/15 + i**2 - 456*i - 3. Find b such that m(b) = 0.\nAnswer: -22, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 914107.4l in millilitres?\nAnswer: 914107400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 1)\/(-7 + 8). Suppose -5*k + 2*k = 3, 4*c + 3*k - 101 = l. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-32))\/(6\/20). Suppose -f + 36 = -7*f. Let t be (-55)\/(-70)*f - (-4)\/(-14). Which is the nearest to u? (a) t (b) 0.1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -210, -448, -708, -984, -1270, -1560, -1848?\n\"Answer: p**3 - 17*p**2 - 194*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (-2550)\/(-105) + 26\/56 - 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*r = -39, -1 = -p + 3*r + 40. Let m = -30 + p. Suppose -4*l = -3*n, 3*l - 7*l = 4*n. Sort m, -4, n in descending order.\nAnswer: m, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 18 = -4*o, 0 = o + 3*n - 6*n + 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) -474 (c) 2\/3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.941 - 0.059. Let l(z) = 11*z - 267. Let j be l(24). Which is the fourth biggest value? (a) p (b) 1\/3 (c) j (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 9*v - 10. Let i be n(7). Suppose -s = 4*c + i*s - 66, 0 = 2*c - s - 26. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*g + 0 + (3 - 3 + 2*g)*(167 - 398 + 714) to k + m*g and give m.\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109503121 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -82. What is the remainder when 78\/4*(-180)\/z is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 11:33 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 17*o**4 - 4*o**3 - 4*o**2 - 6. Let t(m) = 35*m**4 - 9*m**3 - 9*m**2 - 11. Let u(k) = -9*d(k) + 4*t(k). Differentiate u(q) wrt q.\nAnswer: -52*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from rwwrjtmjrmwwwrrw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05169 and 0.1?\nAnswer: 0.005169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1012 (base 3) to base 16\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 640 and 2575.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12084)\/(-10) + (-48)\/(-30).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 59*o + 34. Solve -k = 2*p + 1 + 2, o*p - 5*k = 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.4 + -23. Let p = -1.39 - w. Let h = p + -0.31. Which is the nearest to -0.3? (a) h (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16549095, -16549091, -16549085, -16549077?\n\"Answer: p**2 + p - 16549097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 1400853.3631.\nAnswer: 1400853.6631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8448 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-3) - -2) + 3. Suppose h*i = 20, 2*v - 2*i = -5*i + 21. Solve v*w + 8 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 7:58 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (3\/6)\/(1\/(-2)). Suppose 5*d + 10 = -2*y, d - w*d = 8. Suppose 0 = y*x - 2*g - 718, g = 3*x + 2*g - 422. List the prime factors of x.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -1 (b) 2\/5 (c) 4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/45*195)\/(((-20)\/6)\/2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000023167 to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2373 and 30.\nAnswer: 23730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 4*c**2 - 19*c + 14.\nAnswer: (c - 2)*(c - 1)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k + 29. Let v(f) = 3*f**2 + 31*f + 24. Let u be v(-10). Let r(l) = -l - 9. Let o(h) = u*r(h) + 4*w(h). Determine o(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -44022, -44156, -44290, -44424, -44558?\n\"Answer: -134*f - 43888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/3 + 9028298*l**3\/3 - 18056588*l**2 + 108339512*l\/3 - 72226336\/3.\nAnswer: -(l - 9028292)*(l - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 + -101222211?\nAnswer: -101221312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 6. Which is bigger: -5\/9 or s?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -11\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 11:33 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -74*j - 79 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + (sqrt(15)\/sqrt(3) + -4 - sqrt(20)\/sqrt(4)*5).\nAnswer: -4*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/24*-4*12\/15*-6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -11 + -1 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 80 - 61 - (-57 + (-4 - (0 - 2)))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-2 - -1)) + (9 - -4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 14 = 4*g + 10, 4*p = -2*g + 10. Suppose -2*u + 3*l - 4 = 0, p*u + 3*l - 28 = -0*l. Solve 12*o - u = 10*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(1 - (-56)\/116*-2). Solve 0 = -23*p - i + 47 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-5)*(-2)\/(-10). Let t be (-4)\/10 - (-648)\/20. Let b be (4\/t)\/((-1)\/2). Put -4, w, b in decreasing order.\nAnswer: w, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 599493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 18*o + 9*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.1 - 3.2. Let d(w) = -248*w + 1735. Let g be d(7). Which is the third smallest value? (a) 4\/5 (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 585, 2403, 7317, 16875, 32625, 56115, 88893, 132507?\n\"Answer: 258*g**3 + 12*g + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 55*m. Let s(i) = -7573*i + 3770*i + 3785*i. Determine y(s(h)).\nAnswer: -990*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 251 and 1?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 1\/6, -2\/167057, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.4 - -0.6. Let s = 268\/1377 + -4448477\/11016. Let j = 404 + s. Which is the closest to 0.1? (a) t (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -15\/8 (b) 7 (c) 3\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1083 = -5*a, -z - z + 1104 = 2*a. Suppose 0 = -3*f + 3*n + z, 2*f - 4*n - 270 - 100 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42925 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/175 - 46\/130.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**6\/1080 - r**5\/180 + r**4\/72 - r**3\/6 - 2*r. Let n(s) be the second derivative of d(s). Let n(x) = 0. Calculate x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 16*l + 74. Give r(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y - 40 + 7*y - 14*y)*(2*y + y**3 - 2*y).\nAnswer: y**4 - 40*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29313 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448 = -5*c - 133. Let l be 19\/(-42) - (7 - 459\/c). What is the third biggest value in 5, l, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-710)\/144)\/5*4 and 37\/240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79345594?\nAnswer: 2, 39672797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 13 - 28 - 2*g)*(-2*g - 2*g**2 + 2*g).\nAnswer: 2*g**3 + 30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -1\/24*s**4 + 0*s + 1\/3*s**3 + 0 - 2*s**2. Find the first derivative of n(p) wrt p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -0.01.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1dbf (base 16) in base 9?\nAnswer: -11401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -200.79039 rounded to one dp?\nAnswer: -200.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2321\/12 - -196. Let x = -7\/3 + i. Let 1\/4*f**4 + 1\/4 + 1\/4*f - 1\/2*f**2 + x*f**5 - 1\/2*f**3 = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 + 114*b**2 + 118*b - 10. Calculate n(58).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/722 + -1459\/3610. Suppose -1 - 23 = -4*y. Suppose 27 = -3*v + 4*b, 4*v + 23 = 3*b - y. What is the third smallest value in v, t, -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**2 - 3251525*m + 1083842 = 0.\nAnswer: -1083842, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -355 + 355. Suppose l*t + 21 = 7*t. Solve 0 = -t*x + 5*b + 14, 0*x - 2*b - 4 = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 3*r + 3*r + (1 + 2*r - 1)*(1 - 1 - 2*r) + 2*r**2 - 3*r + 3*r + 2*r**2 - 2*r**2 + r**2)*(-95 + 95 - 13*r**3).\nAnswer: 39*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 744*i**2 - 8300*i - 9048.\nAnswer: -4*(i - 174)*(i - 13)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54416, 108851, 163286, 217721, 272156?\nAnswer: 326591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (28\/(-6))\/(32\/(-8663856)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37632*o**3 - 500640*o**2 - 362349*o - 63882 = 0. What is o?\nAnswer: -39\/112, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 293205*b**3 - 128053*b?\nAnswer: 1759230*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/106060605 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1185064 and 328?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = 0, -6*h + 4*l + 44 = -3*h. Which is greater: h or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-28))\/((-24)\/28) + (-8 - 1719\/(-216))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3772*i + 3780*i + 323 = -285 for i.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1551570 is divided by 59675.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3\/10, -4.05, -5, -0.3, 4?\nAnswer: -4.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**3\/6 + f**2\/2 + 25*f. Calculate z(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, l: 1, g: 9, x: 5}. Give prob of sequence pgp.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324653.\nAnswer: 7, 19, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 15*s = -11*s + 64, 0 = 3*g - 4*s - 59. Let l = -3.25 - -3. Let h = 0.05 + l. Which is the smallest value? (a) h (b) 1 (c) 0.5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, h: 3}. What is prob of picking 2 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8236, 8233, 8238, 8257, 8296, 8361?\n\"Answer: p**3 - 2*p**2 - 4*p + 8241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = 5*j - 4*h, -5*h + 19 = 2*j. Suppose -j = 3*x - 11. Suppose x*s - 3*r - 9 = -0*r, 14 = 4*s - 3*r. Solve 3*b = 15, 0 = -f - 3*b + 24 - s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 29*f - 2745 + 2298, -z = 5*f + 71 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*f**3*r**3 - 6028569*f**3*r - 403135560*f**3 wrt r?\nAnswer: -33*f**3*r**2 - 6028569*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*d - 1 = 0, -5*o - 4*d + 7*d = -21. Calculate the least common multiple of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -411.2 - -498. Let z = t + -86.798644. Round z to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 50692, 50693, 50694, 50695, 50696, 50697?\n\"Answer: x + 50691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 361352.21069 + -361516.21. Let y = -357 - -193. Let f = y - a. What is f rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1546258.01 to the nearest 100.\nAnswer: 1546300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**5\/20 - 3*v**4\/4 - 5*v**3\/3 + 13*v**2\/2 + 339*v. Give c(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in -23\/2, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/177)\/(4\/3). Let g = -1007\/944 - n. Calculate the common denominator of 43\/12 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 + 36 - 26) + 17\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = z - s, -2*z + s - 1 + 7 = 0. What is the first derivative of -c - 2 - 1 - z*c wrt c?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -27*a + 21*a. Calculate the remainder when 27 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**4\/4 + w**3\/3 - 13*w + 5. Calculate y(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 97 - -189?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2 + 2854008*q + 5708028 = 0. Calculate q.\nAnswer: -2, 951338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3293296, -3293297, -3293298, -3293299, -3293300, -3293301?\n\"Answer: -o - 3293295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*p - 254*p = -145*p - 48. Let d = -3 + 5. Put 3, d, -4, p in descending order.\nAnswer: 3, d, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-6)*(-12)\/(-15). Suppose 4*b + 5*g - 216 = 0, -q*g + 234 - 72 = 3*b. 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: Is 20654659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooi when three letters picked without replacement from {r: 2, x: 3, m: 3, c: 2, o: 4, i: 4}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 79*k - 55 + 294 = 0, -5*w = -k + 2*k + 133 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2950755?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 164683*c**4*l**2 + 4*c**3*l**3 - 18*c**2*l + 2*c + 2*l**3 - 11*l**2 + 245 wrt c.\nAnswer: 3952392*c*l**2 + 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((29 - -16) + -21)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757 (base 16) to base 8.\nAnswer: 3527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3664 and 46655086.\nAnswer: 373240688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 432 divide 130380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2576*q**2 - 1047*q + 6. Let f(u) = -2594*u**2 - 1048*u + 7. Let h(k) = 6*f(k) - 7*m(k). What is the second derivative of h(x) wrt x?\nAnswer: 4936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2. Let n(p) = -2*p - 6. Let i(a) = -2*a - 7. Let q(x) = 7*i(x) - 6*n(x). Determine j(q(d)).\nAnswer: -4*d**2 - 52*d - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -278*h - 2213. Let o be d(-8). Let p(q) = 3 + 7*q**2 - 2*q**2 + 8. Let y(z) be the first derivative of z**3\/3 + 2*z + 2. Determine o*y(k) - 2*p(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(32)\/sqrt(4)) + (4*sqrt(2)*2 + sqrt(2) - sqrt(2)) + ((sqrt(288) + 1)*2 + sqrt(288))**2.\nAnswer: 153*sqrt(2) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.573 + 1097.573. Let r = d + -1095.7. Let g = 41\/5 + -8. What is the nearest to g in r, -0.4, -4\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -478*f**5 - 127*f - 1 wrt f.\nAnswer: -9560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 1)*(-r + 9*r - 4*r)*(-4 + 3 - 1) in the form l*r + w and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 b when three letters picked without replacement from {t: 2, b: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-20)\/(-16)*(-5)\/25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7980 and 1824.\nAnswer: 63840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-42))\/(((-684)\/1596)\/(6\/10))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k - 10. Let a be w(2). Let q = a + 5. Solve 4*z - 19 = 3*j, -j - 22 = j - q*z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 4*s - 74. Calculate d(-9).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 0.5, -0.02, -43221?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -330542098*c**4 + c**2 - 100206282*c?\nAnswer: -7933010352*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.071, -4, 1.1, 1\/25?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*b - 19. Calculate the greatest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 311538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 3\/4356829?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/((-324)\/(-30))*2*-2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 13*o**2 - 2*o. Let t(s) = -2*s**2 + 241. Determine l(t(i)).\nAnswer: 52*i**4 - 12528*i**2 + 754571","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/60)\/(2\/(-8)) + 44 + -51.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (-7 - (26 - 39)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 100*j**2 - 1093*j - 60. Calculate p(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29597 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 39*b**2 + 110*b + 81. Let h be u(-36). Solve 4*s - 5*r = -8, -6*r - 10 = 5*s - h*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8)**(-4) assuming o is positive.\nAnswer: o**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 854716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60940.1016 minutes to weeks.\nAnswer: 6.045645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 359, 368, 305, 164, -61, -376, -787?\nAnswer: -1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - r = 73, o - 748352 = 5*r - 748259 for o.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 - 89. Suppose 0 = -3*a - a + 96. Calculate the remainder when r is divided by ((-1)\/2)\/((-3)\/a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h**3 - 6*h**3 + 4*h**3 + 47*h.\nAnswer: -17*h**3 + 47*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1753108493?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 3. Let x = -146 - -149. What is f(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90*a**5*n**2 - 1762*a**5*n - 224*a*n**2 + 6*a - 2*n**2 + n + 1 wrt a?\nAnswer: -1800*a**3*n**2 - 35240*a**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -43782 greater than or equal to 289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 284193 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**2 + 21. Let k(n) = -5*n + 4. Determine k(t) - x(t).\nAnswer: 4*t**2 - 5*t - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/5 (b) 0 (c) -0.1524 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l + 8. Let i(d) = -2*d - 8. Let h(o) = 4*i(o) + 5*z(o). What is the units digit of h(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3*(-5)\/30 + 1)*0. Put 1, -5, d, 8 in ascending order.\nAnswer: -5, d, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 27.99999848. What is s rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192053604 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: Suppose -3*g - 202 = 4*m, -g + m = -0*m + 79. Let s = g + 221\/3. What is the third biggest value in s, 0.5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -362 + 571. Let s = -17 + z. What is the highest common factor of s and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2 + 181*b - 3*b**5 + 681*b + 1284*b**3 - 673*b**3 - 5*b**5 - 671*b**3 wrt b?\nAnswer: -160*b**3 - 360*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/20)\/(-4) - (-22032)\/(-20). Let t = 1110 + i. Suppose -s = 5*v - 76, 8 = v + 2*s - 0*s. Solve 5*w - v = t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 - -12) + (16 - -1). Suppose -4 = -2*q + r. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1609, -3396, -5195, -7006, -8829?\n\"Answer: -6*x**2 - 1769*x + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 99, -2 in descending order.\nAnswer: 99, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s + 47*s + 33*s + 19*s.\nAnswer: 87*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 0, 3*k - 4*i = -0*i - 31. Let p be 2\/(-2) - (-2)\/(-22)*k. Which is the closest to 0? (a) p (b) -2\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 160*o - 116*o + 229*o + 294*o - 113*o to the form y*o + f and give y.\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2. Let q(l) = -26*l + 271. Determine b(q(p)).\nAnswer: 1352*p**2 - 28184*p + 146882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, c: 3}. What is prob of sequence ffc?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (1*-49)\/((-623)\/77 - -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 15*t**5 + 16217*t**4\/2 + 57571*t**3\/2 + 60181*t**2\/2 + 19871*t\/2 + 537 = 0.\nAnswer: -537, -2, -1, -1\/2, -1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**2 + 0*a**2 + 0*a**2)*(10*a + 2 + 2*a**2 + 4*a - 1) + 4*a**4 + 3*a**4 + 0*a**4 to the form u*a + n*a**2 + p*a**3 + d + c*a**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -13*z**2 + 3*z - 3. Let j = -1 - -6. Let a(l) = -25*l**2 + 5*l - 7. Let y(m) = j*s(m) - 3*a(m). Differentiate y(i) wrt i.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 18 = 4*k, 0*k - 3*m = 3*k - 9. Suppose -2 = z + k. Which is bigger: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -1\/72*n**6 + 5\/72*n**4 + 0*n + 1\/36*n**5 + 0 - 1\/210*n**7 - 1\/9*n**3 + 100*n**2. Find q, given that c(q) = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620*q - 619*q - 6*h = 12459, 5*h = -30. What are the prime factors of q?\nAnswer: 3, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-10) - 100\/375. What is the closest to -0.1 in 1\/7, 1\/5, d, 9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1513\/3 or -33\/4?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1) + (-20)\/(-5). Suppose 2*f = 4*v - 12 - 2, 2*f - 4 = -l*v. Solve -v*k + 25 = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1116)\/992*(-2)\/(-6)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2703418*q**2. Let l(z) = 3*z. Determine d(l(h)).\nAnswer: 24330762*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 0*q + 66 = 0. Suppose 0*z + z + 2*n = 0, z - 9 = n. Is q\/5*(-1185)\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5075102 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: Express (3 - 5 + r**2 - 2*r**2)*(r + r + r) in the form h*r + y + c*r**2 + u*r**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 85679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - b - 3*r + 18 = -17 - 0, 0 = b + 6*b + 81*r - 1229 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 10:43 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 - 9 = 98*o. Which is smaller: o or -1\/3668?\nAnswer: -1\/3668","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - c + 37 = 0, 0 = -y - 4*y - 3*c + 48. Let k be (-3 - (-21)\/y)*-9. What is the greatest common divisor of 66 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 1. Let u be h(0). What is the units digit of (41\/u)\/(1\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 692*t**2 - 58750*t + 59444.\nAnswer: -2*(t - 1)*(t + 154)*(t + 193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -59, 0, -2 in ascending order.\nAnswer: -59, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 4. Let x = -695 + 695.1. What is the nearest to p in 1\/4, x, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -537200 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = t - 2*t + 1681, -6689 = -4*t + 3*w. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, c: 8, r: 1, i: 1}. What is prob of sequence ccr?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20466318?\nAnswer: 2, 3, 71, 107, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53.6 - 54. Which is the smallest value? (a) -5 (b) 0.08 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-15))**(2\/21)\/(j\/(j*j\/(j*j**(-12)))*j*j**(-12)))**36 assuming j is positive.\nAnswer: j**(6180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3373884*k - 6747759. What is n(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3838?\nAnswer: 2, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4983 smaller than -4984?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 11:19 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 255288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10553376 to the power of 1\/2, to the nearest integer?\nAnswer: 3249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37372 + -15671. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 45.6807508 and 0.5.\nAnswer: 46.1807508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnbnhtnnbth. Give prob of picking 3 t and 1 b.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2bc5 (base 15) in base 9?\nAnswer: 13815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 121512\/(-4392) - (-54)\/2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*u = 3*v - 18, -2*v = -102*u + 107*u - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59777 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 225 = 69*a + 265 - 180 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -17. Let l be 4\/z - 918\/(-45). Let k(g) = -g**3 + 4*g**2 - g - 2. Let y be k(3). Solve 4*w + y*b = l, -2*w + 5*w + 4*b - 15 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from pzzpppzpmpppmmpsz?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 64919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**2 + 37*b**2 - 21*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -257*b**2\/6 - 127*b\/3 + 1\/2.\nAnswer: -(b + 1)*(257*b - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(891) + (sqrt(33)*-4)\/sqrt(3) - ((sqrt(891) - (sqrt(891) + 1))*3 - (sqrt(891) + (sqrt(891) - (1 + sqrt(891) + -2 - sqrt(891)))))**2).\nAnswer: -3583 - 157*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -168486.2?\nAnswer: 168485.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 94*c - 4. Calculate b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 5 (b) -11 (c) 14\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*m + 2 + 5*m - 2 to the form k + d*m and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/56 - 33\/(-7). Let a be (-4)\/(-2) + -2 + 2. Solve a*s + 0*s = -2, -4*r - k*s - 21 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + 0. Let b = a + -1.2. Let g = -1046.7 - -1047. What is the closest to b in -6\/5, g, -4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59580 (base 11) to base 9\nAnswer: -140718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 12, -3\/5, -0.13, 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15757915 and 15757915?\nAnswer: 15757915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 28*k**2 - 63*k - 268. Give d(-26).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138 - -243. List the prime factors of x\/(-42)*636\/(-10).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30134934?\nAnswer: 2, 3, 1674163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 12:26 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -717*l. Let i(c) = 4*c - 36. Let u(a) = 15*a - 120. Let b(t) = -10*i(t) + 3*u(t). What is s(b(g))?\nAnswer: -3585*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**6)\/(((h*h**26\/h)\/h)\/h))\/((((h*h**19)\/h*h)\/h)\/((h**(3\/31)\/h)\/h)) assuming h is positive.\nAnswer: h**(-1175\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + j - 2 + (1 + 1 - 4)*(-2*j + 2*j - 2*j))*(-4*j + 17*j + 37*j) as p*j + x*j**2 + u and give x.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4399 - 366.\nAnswer: -365.5601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 72 - 53)*(3 + 1 - 3)*(4*y**5 + 5*y**5 - y**5).\nAnswer: -792*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4827 is divided by 1006.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - 1\/((-1)\/(-2)). Suppose -26 = -5*c + 4. Let u = g - c. Is u <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 23 = 3*a. Let c = 9 - a. Suppose c*p - j - 4*j - 218 = 0, p = 5*j + 62. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54960 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16737 + 7*n**2 + 33474 - 16730.\nAnswer: 7*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - p**2 + 3*p + 1. Let b(m) = 15*m**3 + 890*m**2 + 52200*m + 1026890. Let z(y) = -b(y) - 5*c(y). Factor z(d).\nAnswer: -5*(d + 59)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2015?\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/195 - -179\/780. Solve 0 + 0*l + c*l**4 - 1\/2*l**3 + 1\/4*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3*(4 + 47). Suppose -4*j + 5*z + 41 + 28 = 0, 0 = 4*j + 2*z - a. Calculate the highest common divisor of 33 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274864*r - 919772*r - 27 + 27.\nAnswer: -644908*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1371*f**3 + 7808*f**3 - 2741*f**3)*(0 + 1 + 1).\nAnswer: 7392*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, -0.5, 51?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 - 2 + 2 + (-4 + 3 - 1)*(-3*p + 3*p + 2*p**3) + (7*p**2 - 4*p**2 - 2*p**2)*(2*p - 2*p + p).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) + -1*23\/(-7). Let k(j) = f*j - 6*j + 3*j - 2*j. Let a(r) = -4*r**2. Calculate k(a(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 1:22 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -734*1.21758.\nAnswer: -893.70372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.15 + -0.25. Let c be 2\/(-14) - (-4)\/(-14). What is the nearest to 0.4 in -3\/5, a, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = 4*p, 4*p - 3 = -4*k + p. Let v be (-402)\/(-15) - k\/15. Suppose 3*c - v = -0*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 304022051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005383351234 to seven dps.\nAnswer: -0.0005383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 6232187.6 to the nearest 1000.\nAnswer: 6232000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 b when three letters picked without replacement from bzeeebbebbeeebe.\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 272578 a multiple of 679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((7 - 11)*1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 52, 86, 126, 172, 224, 282?\n\"Answer: 3*m**2 + 19*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + -3*sqrt(19) + 0 + ((sqrt(133)*-2)\/sqrt(7) - (sqrt(171) + 4)))**2 + 3.\nAnswer: -7317 - 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -14 + 3*q**2 + 17*q + 16 + 0*q**2 + 0*q**2. Let j be n(-9). Suppose j = -39*z + 43*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (40 - 35 - (1 - -8)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m**3 - m**2 + 3*m + 1. Let p(d) = 10*d**3 + d**2 - 4*d - 2. Let u(k) = -k**3 - k**2 + k - 1. Let o(q) = p(q) - u(q). Give 3*o(a) + 5*v(a).\nAnswer: 3*a**3 + a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 2*s + 2. Let r be c(2). Let j be -3*5\/r*-4. Let l = -7 + j. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*r + 24, -2*c + 4*r + r + 4 = 0. What is the second derivative of 2*g - 2*g - 3*g**4 + 27*g**4 - c*g wrt g?\nAnswer: 288*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q + 245 = 11*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*w - 3*w + w + 11*w - 19*w.\nAnswer: 35*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(3500)*-1 + sqrt(3500) - sqrt(3500) - sqrt(35))\/(sqrt(1980)\/sqrt(11)))**2 + -1.\nAnswer: -11*sqrt(7)\/3 + 847\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -20*h**2 - 7*h + 1. Let g(x) = -20*x**2 - 6*x + 1. Let k(p) = -5*g(p) + 4*l(p). Let a be k(-2). Let w = a - 22. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50, 51, 48, 41, 30?\n\"Answer: -2*f**2 + 7*f + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -6*p + 34. Suppose -6*l + 154 = p. Solve -3*n = -3*t, 2*n + l = -5*t - 3*n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -95bf + -9?\nAnswer: -95c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187614?\nAnswer: 2, 3, 7, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 9*d**3 + 4*d**3 - 3*d**2 + 6*d**3 + d**3 in the form i*d**3 + o*d + g*d**2 + f and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 726*-0.13.\nAnswer: -94.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 - (15 - 19 - 3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -177.\nAnswer: 10\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -48, -44, -18, 36, 124?\n\"Answer: i**3 + 5*i**2 - 18*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 7. Let f be y(-4). Is f > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22281\/55)\/(16\/(-120)). Let v = f + 3039. What is the common denominator of v and (63\/(-88))\/(1\/(-4))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5185*y**2 + 8797*y - 2?\nAnswer: 10370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.385 - -1.885. Which is the second biggest value? (a) -2 (b) j (c) -2.64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -130*g - 10. Let q be k(-4). What is q rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312212300 - 211?\nAnswer: -312213111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5)\/n)**(9\/2)\/(n*n**(-1\/4))**(-2\/13) assuming n is positive.\nAnswer: n**(-402\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 1:38 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -13*h**7\/840 - h**5\/120 - 2*h**3 + 3. Let p(j) be the third derivative of g(j). Find the second derivative of p(q) wrt q.\nAnswer: -78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246132 (base 11) in base 6?\nAnswer: -12200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3199*d - 3171. Determine u(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and (-260)\/39*24\/(-10)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 6:13 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*sqrt(5) + -2 - -5*(sqrt(45)\/(2*sqrt(9)) + sqrt(5)).\nAnswer: -1 + 17*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1137276 and 2268.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987237 is divided by 7595.\nAnswer: 7482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*h = -10, h - 1 = -5*o + 9. Suppose 0 = -3*f - o*f. Solve -4*j - j = f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -7. Let b = 28 + u. What is the lowest common multiple of b and 248?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+-742615681885\nAnswer: -742615681889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655302171?\nAnswer: 3, 103, 547, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*d + 88 + 106 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*g + 388, 3*g + 2*f = f - 311. Suppose 10 = 2*c - 5*y, 4*y + 18 - 19 = c. Let u be g\/(-70) - (-6)\/c - 1. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*((-33)\/264)\/(350\/(-80))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/2 - 0)*(-2 + 0). Suppose -5*y + t*u = -1188, y - 220 = -2*u + 7*u. Let m = -112 + y. Is m a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.123 (b) 1\/4 (c) 0 (d) 2643\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 10. Suppose 91 - 124 = -11*h. Solve h*r - f*r = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39e + 1?\nAnswer: 3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/30 - (-16)\/6. Suppose -d*m + 108 = -180. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1467555 (base 9) to base 12\nAnswer: 332295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256981.\nAnswer: 256981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -8 + (-16 - -21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -9. Which is the third smallest value? (a) p (b) -2\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2923633, 5847266, 8770899?\n\"Answer: 2923633*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78535 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 20*s**2 - 4*s + 12. Let r(d) = -21*d**2 + 5*d - 11. Let x(i) = 6*o(i) + 5*r(i). Is x(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/((-800)\/(-1075)))\/5 + -2 + -7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.5 - 4.52. Let o = 1.555 - 1.455. Which is the second biggest value? (a) w (b) -3 (c) 2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44441334110 - 2?\nAnswer: -44441334112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 577 = 7*a - 16447. Solve 12 = 606*y - a*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(720))**2 + sqrt(60)\/sqrt(300).\nAnswer: 241*sqrt(5)\/5 + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/27 + (-565)\/(-9). Suppose -3*f + t = 3*g, 0*f = -2*f - 3*g + 45. Suppose 10*v = v + f. Round v to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 j, and 1 u when four letters picked without replacement from {n: 1, k: 3, u: 2, p: 5, j: 3, o: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94467 - 146633. Let b = 38900 - y. What is b rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13492 + -6807. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, 1 v, and 1 i when four letters picked without replacement from {v: 2, u: 1, k: 4, j: 3, i: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 24013, 195, -4, 0.4, 29?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 513867, 2055436, 4624719, 8221716?\nAnswer: 12846427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (-10)\/5 - -194. Let g = f - 184. Solve -5*r + 4*r = g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 75660844 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/7744 and 87\/160.\nAnswer: 38720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33121 - -51210. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32866 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aat when three letters picked without replacement from ssjsmmvamttataj?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 43\/2 of a kilometer?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9986.072um in nanometers?\nAnswer: 9986072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 4597*b + 392375. What is l(-87)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 13938735\/(-717831) - 0. Let c = r + 1\/1697. Let i = c + -98\/47. Find the common denominator of -93\/10 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 54 in descending order.\nAnswer: 54, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*q + 399*q = -697*q + 2057*q + 8588 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 0. Suppose 4*l + 26*s - 25*s - 26 = 0, 5*s - 4 = l. Put z, 9, l in increasing order.\nAnswer: z, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 10. Suppose o - 2*o + y = 0. Let m(r) = 2*r - 6. Determine m(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 3:38 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 20 = -2*a. Suppose -4*p + 12 = 0, 4*p = -3*i - 11 + 38. Let s be i\/1*(-6)\/a. Solve 0 = 3*z - 5*g + s*g - 15, 10 = 2*z + 4*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*a + 1744 + 18861 = -5*a + 356*a for a.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1010\/8)\/(30\/120). Suppose y - x = -172. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -19*v + 2. Let w(u) = 85*u - 9. Let s(f) = -9*k(f) - 2*w(f). Let b(n) = -2*n**2 - 4*n - 1. Determine b(c) + 3*s(c).\nAnswer: -2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*f**2 - 135*f**2 - 181*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7712855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**2\/3 + 77415*p + 3250450\/3 = 0.\nAnswer: -46435, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 331, 1347, 3017, 5317, 8223, 11711?\nAnswer: 15757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 11:57 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30ce6 (base 15) to base 12.\nAnswer: 756b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 6*n. Suppose n = -4*q - 3*q + 266. What is the remainder when q is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 192200.6.\nAnswer: -576601.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11399 - 32?\nAnswer: 11367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45573 and 4686?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24474*n + 17987*n + 16077*n)*(0 - 4*n + 0)*(2 - 2 + 2)*(0*n + n + n) as z*n**2 + w + o*n**3 + r*n and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40898 and 1014?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9 = -4. Let r be 0\/(2 + (1 - n)). Suppose r = -s - s - 10. Let q(x) = x**2 + 4*x + 1. Determine q(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 210 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y - 10. Let m = 842 - 844. Is y <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + -3 + -5 + sqrt(76)*-2))**2 + 1.\nAnswer: 2600*sqrt(19) + 11826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3161 or 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*g**3 + g**2 + 58*g**3 + 404*g**3 + 311*g**3 - 252*g**3.\nAnswer: 770*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26759 - 26666.773. What is l rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrqqqqrpq. Give prob of picking 2 r, 1 q, and 1 p.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2115 = 5*t - 5*w, -t + 423 = 7*w - 4*w. Suppose -z = -4*u + 2*z + t, 4*z - 120 = -u. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/56)\/(6\/2). Let i = 0.23 + -0.03. Which is the second biggest value? (a) q (b) -0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25639.295 rounded to the nearest 10?\nAnswer: -25640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*f = -48*f + 6730 + 2886 + 6044 for f.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 675 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 - 65*i**3 + 45*i**2 + 2025*i.\nAnswer: -5*i*(i - 5)*(i + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3635 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10010 and 2002?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 z when four letters picked without replacement from {z: 4, u: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -317, -1281, -2907, -5213, -8217, -11937, -16391, -21597?\n\"Answer: -3*h**3 - 313*h**2 - 4*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5\/(-35) - 48\/(-21)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -2\/7, -0.3, -3, -204?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.879 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23.86 and 0.2.\nAnswer: 4.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:47 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 3:00 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 2710 - 9030 = 0. Solve -1168*h = -x*h - 36 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -2\/19, 12564 in decreasing order.\nAnswer: 12564, 5, 1, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61736 is divided by 2474?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**2 + 418 - 418.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20088631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 6:50 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 3)*(7 - 7 - 6*q) + (-2*q + 0*q + 4*q)*(2 - 2 - 5))*(q + 3 - 3).\nAnswer: -22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 + 5*f - 10. Let l be w(-7). Suppose -225 = -8*x + l. List the prime factors of x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 + 282. Let z be 8*60\/k - (-25)\/(-6). What is the second biggest value in 2\/5, 2\/3, -2\/17, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -3)\/(-2) + (-5)\/(-5). Let n = 6 - 4. Sort -4, n, w in descending order.\nAnswer: n, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23781662 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.4? (a) -2\/3 (b) 4\/11 (c) -1\/3 (d) -1 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2059\/5110 + 3\/1022. What is the third smallest value in 2\/11, p, -2\/7, -2\/103, 3?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -2b249?\nAnswer: 2b244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 + 8 + 23 - 10\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {f: 1, n: 3, r: 4, d: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 84 = 4*b, 7 = -3*b - 5*f - 43. Let r be 8 - (9 + b\/4). Solve -r = -0*h - 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmxxxzxxjskzxxx. What is prob of picking 1 j and 1 m?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(12)\/(1*sqrt(3))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/9 - (-460)\/45. What is the remainder when 37 is divided by d*(-9)\/((-45)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 6 - 3*f - 1 + 7*f. Let q(y) = y**2 - y + 1. Let k(n) = 6*q(n) + t(n). What is the units digit of k(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-9 + (9 - 6) + -2 - 6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.21 - -14.34. Let w = p - 0.13. Which is the third biggest value? (a) w (b) 2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 19 = 17. Calculate the greatest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**2. Let r(y) = 31 - 6 - 24 - 37*y + 33*y. Calculate f(r(k)).\nAnswer: 96*k**2 - 48*k + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 113*y**2 - 226*y - 594. Give s(115).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442, 873, 1288, 1681, 2046, 2377?\nAnswer: 2668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r*r)**(-1\/17)\/(r**(4\/3)\/(r*r\/r**(-8))) assuming r is positive.\nAnswer: r**(439\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (220\/(-55))\/((4\/(-2))\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0916916 and 0.2?\nAnswer: 0.1083084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-4 + 8)) + (-17 - -8 - -16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 10 = -5*p, 11*p - b + 10 - 6 = -3 - 15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 7:05 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**6\/15 - 7*d**5\/10 - 3*d**4\/2 + 9*d**3 + 54*d**2 - 27*d. Factor g(m).\nAnswer: -2*(m - 2)*(m + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.262074 weeks?\nAnswer: 1.834518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6996653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 11:49 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -154 (base 7) to base 10\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2. Let h = 0.029 - -26.971. Let u = h - 25. Sort 0.5, z, u in descending order.\nAnswer: u, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3008\/3 and 52\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13101*r**4*y**3 + 7*r**4*y - 21*r**2*y**2 - 167*r**2*y + 8*y**3 wrt r?\nAnswer: 314424*r*y**3 + 168*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319473 and 10097283.\nAnswer: 9681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8 = 0, -3*z + 6*z + 4 = 2*g. What is the nearest to 0 in 10\/7, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002171 to five dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (-5 + 13344\/(-16))?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32\/9 - -467\/18. Let u = q + -29. Determine o, given that -3\/2*o**2 + 1 - u*o = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = -2. Solve -7*k + 2*k - 2 = c, -c = -2*k - n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 369 - 1105 + 363 - 2150*f + 372 as r*f + m + b*f**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1262*t**2 + 31*t - 134. What is the ten thousands digit of v(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from elljejlalllje?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 5 (c) -1\/3 (d) -0.2083\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 u, and 1 j when three letters picked without replacement from hgqhhgugjgh?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 371433144 and 13472.\nAnswer: 3368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -205*v - 350. Let m be f(-14). Suppose -2*w + 0*j - 3*j = -1012, 5*w + 5*j - m = 0. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x**5 - 21813*x**4\/2 + 57423*x**3 - 2766*x**2 - 57417*x + 27345\/2 = 0 for x.\nAnswer: -1823, -1, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 3. Let v(j) = 4*j - 11. Let o(a) = 22*i(a) - 6*v(a). Let b(g) = -2*g**2. Calculate o(b(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 1339 - 7*p**2 - 10*p + 0*p + 1341. Let c(d) = 3*d**2 + 5*d - 1. Calculate 7*c(z) + 4*q(z).\nAnswer: z**2 - 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 177 (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27874 + 19?\nAnswer: -27858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(121\/132)*30*((-4)\/32)\/1.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 4. Let b(t) = -4*t + 3. Let o be b(6). Let v = o - -15. Let q be i(v). Is 0.2 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 14\/(-3))*3. Let u = v - -15. Suppose -n = u*n - 10, 2 = 4*p - 3*n. What is the lowest common multiple of p and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**2 + 50*o + 41. What are the prime factors of g(21)?\nAnswer: 2, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 121 = 44. Let p = -80 - b. Let k = -28 - p. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 17*x**5\/12 - 2503*x**2. Let i(q) = -41*q**2 - 2*q. What is i(g(l))?\nAnswer: -296225*l**4 - 170*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 506 and 66?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-8)*-2*14. Let f = s - 15. Let i = f - -8. Are i and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619*c = -4996 - 24097 for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 251981 and 6290836?\nAnswer: 8689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 6*m + 810 = 0. Calculate the remainder when m is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + s + 12. Is 19 a factor of i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 309 divided by 332.\nAnswer: 309\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + 1 + (23 - 26).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -3*f + 22, -z - 4*z + z + 9 = 11*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 10871256?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*y - 167*y + 19 - 19.\nAnswer: -283*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -429*f**2*t**3 + 22*f**2*t + 3*f**2 + 81325*f*t**3 + 553*f*t + 3*f + 26 wrt t?\nAnswer: -2574*f**2*t + 487950*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -20. Which is the closest to 0.1? (a) -0.2 (b) y (c) 6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58977603 is divided by 269304.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 54*x = 59*x - 21, 4*s = -4*x - 12. Let r(w) = -14*w + 84. Let h be r(s). Calculate the highest common factor of h and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5)\/(h**(3\/5)*h))**12 assuming h is positive.\nAnswer: h**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2008, -2010, -2012, -2014?\nAnswer: -2016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 518336784.82803.\nAnswer: 518336781.82803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**9\/56 + o**5\/60 + 5*o**2. What is the third derivative of k(p) wrt p?\nAnswer: 1080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 3.425\nAnswer: -10.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r = -15*r + 7 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 - 2.4. What is the nearest to -1\/2 in 1, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**4\/8 + 3*u**2. Let f = 1 - 2. What is x(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.52 + -0.02. Suppose 6*r + 4*y - 5 = r, -2*r + 3*y + 2 = 0. Let o = r + 4. Which is the nearest to 0? (a) o (b) p (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 272*p**4 - 149194 + p**2 + p**3 + 149192 + 301*p + 450*p wrt p?\nAnswer: 6528*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 5 = 26*d. Solve -8*c = -d*c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -227 - 14*m**2 + 14*m - 11*m**2 + 4*m**2 - 2*m + m**3. Let y be r(21). Calculate the greatest common factor of 125 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 5) + -8 - -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -51630.4701 to the nearest one thousand.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 27*g**2 - 1944*g + 28951. Determine l(51).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v + 1613 - 9488 = -30*v. Solve -132*y + 162 = -v*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -40. Let c(a) be the third derivative of -a**4\/6 - 7*a**3\/6 - 28*a**2. What is the units digit of c(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20a + 1bb?\nAnswer: 3c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 divided by -5?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.224532 * 0.06.\nAnswer: -1.81347192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 178?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*v - 0*v. Let x(y) = -3 + 3*y**2 + 2 - 4*y**v + 3 + 0. Let f = 19 + -27. Let u(r) = -11*r**3 + 8*r**2 + 6. What is f*x(z) + 3*u(z)?\nAnswer: -z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -101100001220201?\nAnswer: -101100001220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46 and 12749?\nAnswer: 586454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*1 + sqrt(700) + 1*sqrt(700) + sqrt(700) + sqrt(700) + sqrt(700) + sqrt(7).\nAnswer: 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5 + 122. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3\/143, -4 in ascending order.\nAnswer: -10, -4, -3\/143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170 + 166. Is (-443815)\/(-148) + (-1)\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1100) + -1))**2.\nAnswer: -80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f - 39*f + 301*f.\nAnswer: 249*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3109 + -3118. Which is the smallest value? (a) -0.061 (b) k (c) 2\/19 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -185*r**3 - 16*r**2 + 9*r - 3. Let a(u) = 181*u**3 + 16*u**2 - 12*u + 4. Let v(s) = 3*a(s) + 4*o(s). Find the third derivative of v(p) wrt p.\nAnswer: -1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 281\/5 + -56. Let n = 55\/133 + 2\/133. Suppose 0 = -2*x - 2, x = -3*z - 1. Which is the fourth biggest value? (a) s (b) -1\/4 (c) n (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296491804 a multiple of 3787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**(-1\/4)*v*(v\/((v**(-3\/5)*v)\/v)*v)\/v*v\/((v\/v**(2\/5))\/v*v)*(v*v**(4\/9)\/v)\/v*v assuming v is positive.\nAnswer: v**(187\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 5*i**4\/12 + 5*i**3\/3 + 7*i**2\/2 - 1. Let n(d) be the second derivative of w(d). Differentiate n(z) wrt z.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5571?\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*s = -88*s - 55118. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2886999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v**2 + v. Let p(h) = 11*h**2 - 1. Let t(n) = 4*b(n) + 3*p(n). Let z(i) = -6*i**2 + 3*i - 3. Give 5*t(f) - 6*z(f).\nAnswer: f**2 + 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffffefffefefef. Give prob of picking 2 e.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.7295827 to 2 dps.\nAnswer: 9.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10943150 by 2188630.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -403.3 - -403.1. Which is bigger: i or -3095?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/9 in -2\/3, -0.6, 0.033, -1\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14742, 28765, 42788, 56811, 70834, 84857?\nAnswer: 98880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*(sqrt(78) - (sqrt(78) - -2*sqrt(78)))*6)\/(-2*sqrt(2646)*1) + 3.\nAnswer: 3 + 16*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 433?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + v**2 + v - 2. Suppose 20 = 8*z - 4*z + 4*y, 0 = -2*z - 5*y + 10. Suppose -5*g - 2*b - 10 = -10*g, 4*g + z*b = 8. Give t(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/20266389 and 115\/40716.\nAnswer: 81065556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/9*6\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 21, -6, -4 in decreasing order.\nAnswer: 21, 3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and (-4)\/(-2) - ((9 - 15) + 2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a**2 + 3*a)*(4 - 3 - 3) - a**2 + 3*a + 3*a**2 - a.\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 41. Let j(h) = 2*h**2 + 40. Determine -3*j(a) - 2*m(a).\nAnswer: -2*a**2 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9345 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -289*u + 870. Let g be n(3). Factor 2\/9 + 7\/9*c + 5\/9*c**g + 1\/9*c**4 + c**2.\nAnswer: (c + 1)**3*(c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28089027 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62542221 and 2139?\nAnswer: 2139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17412, 37630, 57848, 78066, 98284?\nAnswer: 118502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**2 + 9264295*h - 9264290 = 0. Calculate h.\nAnswer: 1, 1852858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 301550420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5611 or 5598?\nAnswer: 5611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3263 (base 7) in base 4?\nAnswer: -102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62180350 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*a + h = 62*a + 21, 5*a + h - 18 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 138692297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69429527?\nAnswer: 139, 499493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953578064?\nAnswer: 2, 719, 82891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -15360 greater than or equal to -15358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47676843 divided by 2?\nAnswer: 47676843\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 393995, 787990, 1181985, 1575980, 1969975?\n\"Answer: 393995*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1120 + 1122. Calculate the least common multiple of 114 and n.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17088000 rounded to the nearest 100000?\nAnswer: -17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/114*(-3)\/2. Let n(r) = -r - 1. Let u be n(-3). Suppose 3*p = -0*c + c - 11, -p = -u*c + 12. What is the biggest value in 3, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 4 + 1 + 3 - 6 + 2 - 1 - 2 + (-4 + 4 + 1)*(-4 + 4 - 2) + 1 + 2 - 4 + 0 + 0 - 2)*(d - 11*d + 0*d) to y + n*d and give n.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176097 less than 4?\nAnswer: -1176093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = -5*r, -9 = 87*r - 89*r - b. Sort r, -1, 6, 8, 3 in descending order.\nAnswer: 8, 6, 3, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-63))\/((-132)\/4158)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 44517 (b) 2\/3 (c) -0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 792026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 7*v + 8. Let w(a) = a**2 + 7*a - 7. Let z(o) = -5*j(o) - 6*w(o). Let i be (-9)\/(14\/((-224)\/(-24))). What is z(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9584 bigger than -9586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 17218*z**2 - 37066048*z - 37048832.\nAnswer: -2*(z + 1)*(z + 4304)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - -13. What is the remainder when y is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 + 89 + b**3 + 6*b**2 - 6*b**2.\nAnswer: 5*b**3 + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-3) - 2\/(-6). Suppose 16 = d - b*l, 4 = 4*d - 2*l + l. Suppose 3*n - 15 = -d*n. Solve 7*u - 2*u = i + 9, -2*u + n = i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 5 = -43. Solve -k = -2 - i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9) - (0 - 1\/(-15)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**23*c**(-1\/2)*c*c)\/((c*c**(-8\/9))\/(((((c\/(c*c**(-16)))\/c)\/c)\/c)\/c)) assuming c is positive.\nAnswer: c**(655\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3196271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:57 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 69*((-11)\/(-6) - (5 - 4))\/((-1895)\/1516)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.18 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 + 56*r - 56*r + 4 + (2 - 4*r**3 - 2)*(-1 - 2 + 1) to h*r**3 + z*r**2 + k + n*r and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-2))\/(-1) + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 478392498 to the nearest integer?\nAnswer: 21872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2103*d + 3748*d - 11435*d.\nAnswer: -5584*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2. Let o(b) = -b**2 - 5*b - 4. Let y be o(-3). Let h(x) = 2*x**2 + 0*x**2 - 3*x**y - 4*x**2. What is h(u(p))?\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 7 - 2)*(5 - -4). Suppose -d*w - 28 = -163. Solve -w = 4*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -0.7 (c) 22 (d) 4 (e) -0.17 (f) 6 (g) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-7)\/(28\/(-36)). Suppose -f*r + 52581 = -9*r - 2*w, -5*w + 10527 = r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 1 + 7. Suppose 11 = i*t + 3. Let g be 42\/11 + t\/22. Solve -9 = g*u + 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (174*j - 174*j + 3*j**2)*(-j**2 + 0*j**2 - j**2) - 4*j + 4*j + 7*j**4.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 2:25 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6689680 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7302378.\nAnswer: 2, 3, 1217063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*(g\/g**21)\/g))\/(g**(1\/11)\/g) assuming g is positive.\nAnswer: g**(241\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 766 = -2*w, -2*q = 5*w + 2*q - 1915. What are the prime factors of w?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1110111001111?\nAnswer: -1110111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h*h*h**18*h)\/h)\/h)\/(h*(h*h\/h**(2\/5))\/h) assuming h is positive.\nAnswer: h**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 150372 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.27 + -0.37. What is the nearest to 2 in -2\/17, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (1 + -4 + -2 + (-3 - -6))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(-36)*(1 + -34)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409253 is divided by 2882.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 226099640 a multiple of 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-4 + 3*q + 4)*(-25 + 54 + 7).\nAnswer: 216*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -819.103639 to the nearest integer.\nAnswer: -819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.27 + 2.97. Let a = -3 + k. Sort -0.2, a, -4\/5 in decreasing order.\nAnswer: -0.2, a, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15781 - 8735 = -680*k - 8594 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1854\/(-45) - -2*1\/10. Let j = 36 + v. Which is the second biggest value? (a) j (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0 - 1) + -6. Suppose 2*a + 2*a - 508 = 0. Is a*2*(-3)\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbaa when four letters picked without replacement from jjlbbaaajababajaja?\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 8, 14, 22, 32?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - 4.06. Let g = 1567852\/9 + -174206. Which is the smallest value? (a) -7\/5 (b) 5 (c) m (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129*n**4 - 5*n**3 + 25969*n**2 wrt n.\nAnswer: -3096*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 18. What is the greatest common divisor of 6 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1899.6 + -1895.6. Which is the nearest to 1? (a) 3.2 (b) n (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 13859*z + 83472. Calculate h(-6).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -0.3, -3, -0.1 in ascending order.\nAnswer: -4, -3, -0.3, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4916\/7, -5, 0.4, 0.05, 14.2?\nAnswer: 4916\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 + 126. Suppose h*q = -6*q - 96. Calculate the common denominator of -35\/12 and (-194)\/q*15\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26, 191, 634, 1493, 2906, 5011?\n\"Answer: 23*k**3 + k**2 + k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 8*q - 20. Determine n(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, z: 5}. Give prob of sequence zz.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - 35.5. Let c = 46 + i. Put c, 2, 0, 2\/27 in decreasing order.\nAnswer: 2, 2\/27, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(1080\/12))\/(1\/3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 64*a**2 - 244*a - 264.\nAnswer: -4*(a + 2)*(a + 3)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6077*b - 6057*b + 3*b**2 + 17292*b - 5158*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 155*i**2 - 5*i - 5. List the prime factors of t(-5).\nAnswer: 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(343) + sqrt(343) + sqrt(343) + -6*(sqrt(343) + -5*sqrt(343)) + sqrt(343) - sqrt(343))**2 + 1*sqrt(343)*-3 + -1 + -3).\nAnswer: -1500258 + 126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 239776307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 3*o + 0*o + 4*o - 3*o + o + (-3*o - 3*o + 5*o)*(-3 - 2 + 4) + 3*o - 6*o + 2*o - 107 + 107 + 5*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in 1\/14301, 3, 2\/7, -0.2, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1701818?\nAnswer: 2, 79, 10771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4945*b + 160. Let v be s(5). Is v\/28 + 1*3\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.76272m in millimeters?\nAnswer: 97762.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**2 - 56*n - 150 = 0.\nAnswer: -25, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 44\/12021 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4092 divided by 1354\nAnswer: 2046\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 348\/(-21) - (-6)\/(-14). Let p = t - -20. Suppose -5*u = -5*v + 105, -p*v + u + 93 = v. Calculate the greatest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tddd when four letters picked without replacement from dtdthtdth?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -19, 1\/3, -3, -0.5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (-15 + 8 + -19 - -32).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v**(2\/5)\/v*v))\/v)\/v)\/(v*v**(-5)*v*v))**(-4\/13) assuming v is positive.\nAnswer: v**(8\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 8106?\nAnswer: 24318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3924 and 140373?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 330*t + 1984. Let j be c(-6). What is s in 0*s + 2\/5*s**2 + 0 + 2\/5*s**j - 4\/5*s**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 79*a**3 - 7*a + 7. Let r(u) = 53*u**3 + 0*u - 5*u - 286 + 291. What is 5*i(g) - 7*r(g)?\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.51 + -0.91. What is the third smallest value in 2\/9, n, 1, 0.05?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 861194\/243 + -3544. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -7 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 9:23 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 5*b - 210*b**4 + 104*b**4 + 83*b**4 + b**2 + (0*b**3 + 0*b**3 + 2*b**3)*(4*b - 3*b + 2*b) in the form x*b**2 + u*b + g*b**3 + v*b**4 + o and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)\/c**(-2\/3))\/((c**(6\/11)*c)\/c**(1\/4)) assuming c is positive.\nAnswer: c**(-743\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(12\/(-1))*(1 + 3). Let x(f) = -38*f**3 - 2*f. Let d be x(z). Calculate the highest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1101101?\nAnswer: -1101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-3)\/(-105)*5*-7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*v + 12 = 43*v - 5*m - 10, -4*v - 5*m - 34 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 27*m**2 + 12*m - 13. Let v be s(-13). Suppose v*x - 4*x = 3*x. Put -0.07, 15, x in increasing order.\nAnswer: -0.07, x, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12547, 21513, 30481, 39451, 48423, 57397?\n\"Answer: r**2 + 8963*r + 3583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**3 - 63*t**2*y**3 - 96*y**3 wrt t.\nAnswer: 6*t**2 - 126*t*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 31*r**2 - r + 9. Let s be b(28). What is the second derivative of s - 6*j**3 - 4*j**2 + 139*j - 2333 wrt j?\nAnswer: -36*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2448))*-1)**2 + ((sqrt(187)*-2 + sqrt(187) - sqrt(187))*-2 + sqrt(187))\/sqrt(11).\nAnswer: -43*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28884.04 weeks?\nAnswer: 291151123.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 7 = 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-39)\/52*(-4)\/3. Let s be 0\/(y + -3 + 3). Suppose s = -4*m + n + 3*n + 196, -m = -4*n - 34. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6 (b) -0.5 (c) -4 (d) -1685.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 6*j**2 + 20*j - 27. Give u(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**3 + j + 0*j**4 + j**3 + 4*j**3 - 4*j**4 as b*j**3 + a*j + c*j**2 + z*j**4 + u and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2222 (base 5) to base 12\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 - 117. Solve -2*j + 11 = v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 30.4?\nAnswer: 30.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 162*v**2 + 1953*v - 2112.\nAnswer: -3*(v - 64)*(v - 1)*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-760)*(-19 + 38)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -13. Let j be ((-2)\/d)\/(8\/432). Let v be 1 - -1*(-2)\/(-2). What is the highest common divisor of j and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 9*w - 9. Let f be r(10). Let o be f*(-2)\/(-4)*2. Let v be -3 - 19*(o - 8). What is v rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -2 - ((-1 - -4) + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - u - 3*u - 2*u + 0*u - 2*u + 6*u - u - u + (0 - 1 - 1)*(2*u + 0*u - u))*(5*u**3 - 5*u**3 - 7*u - 2*u**4).\nAnswer: 16*u**5 + 56*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17424 divided by -1089\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1687\/5 + 337. Let r = 3 - 8. Which is the third smallest value? (a) o (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**3 - 2*y + 23*y**3 - 28*y**3 - 315 + 7*y**3 as r*y**3 + q*y + h + w*y**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2779 - 2819) + -10 + (2 - (-3 + 1 + 5))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(9\/7))\/(b*b*b*(b**(-3\/16)*b*b)\/b)*(b\/b**(-1\/34))\/b**19)**50 assuming b is positive.\nAnswer: b**(-1050475\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1710)\/12)\/(3\/(-4)). Suppose -7*u + 9*u = v. Suppose -d = -6*d + u. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**2 + 24320*b + 219204 = 0.\nAnswer: -9, 6089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24113, 96437, 216955, 385667, 602573?\nAnswer: 867673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*p + 1 + 308*p - 194*p - 1.\nAnswer: -42*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (113305*k - 10 + 10 - 153169*k)*(-6 + 0 + 1 + (-3 + 4 - 3)*(0 - 2 + 1)) to i + o*k and give o.\nAnswer: 119592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83971*p - 83966*p + 6 = 3*y, -4*y + 3*y - 27*p = 84 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 34. Let w = -12 - b. Suppose 0 = -4*q - i + 4080003, -1101379 = w*q - i - 5181376. Round q to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -50*b**2 - 580 + 45*b + 580 + 5*b**3 = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + 1 + -4*(0 + sqrt(432))**2 + sqrt(432) + 5.\nAnswer: -1722 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 - 2546?\nAnswer: -2567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wewnwlwwwwwwlww. Give prob of sequence eww.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011100001101 - -11111?\nAnswer: -110011011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 11*k - 3*a + 5 = 0, -8 = -k - 2*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97820981113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vffvifycvvivcvyvv. What is prob of picking 2 i and 1 c?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/10*(-20)\/8. Let p(l) = -h*l + l + 2*l**2 - 2 + 2*l. Give p(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**3 + 388*r**2 - 218*r wrt r?\nAnswer: 6*r + 776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48512721, -48512706, -48512691, -48512676?\nAnswer: -48512661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.082 to the nearest integer.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19440568?\nAnswer: 2, 7, 359, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5438 - -7793. What is the units digit of (-3 + (-16)\/(-5))\/(3\/m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44, 91, 152, 233, 340, 479, 656?\n\"Answer: v**3 + v**2 + 37*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 6. Let q be g*1 + (5 - 5). Does 2 divide q\/1 + 8 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000464444 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-195)\/(-120))\/(4\/32). Suppose 0 = -3*q - 3*g - 10 + 25, q + 5*g - w = 0. Solve q*l - h - 2 = -1, -4*h - 4 = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 35 = -5*m, -2*w - 12 = -4*m + 2*w. Let l = m + -9. Let t = 7 + l. Solve 0 = -t*s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*i + x, 5*i + 40 = 2*x - 7*x. Is i at least as big as -58\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**7\/105 - 43*j**6\/30 + 1853*j**3\/6 + 1178*j**2. Differentiate x(w) wrt w.\nAnswer: 8*w**3 - 516*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 43 = 5*z. Suppose 2*k - 4 - z = -5*f, 0 = -2*k - 2*f + 18. Suppose 1 - k = -l. Is 6 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/7, -2\/7, 2\/17, -2.7, 0.1?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g**2\/7 + 10516*g\/7 + 3884080\/7.\nAnswer: -2*(g - 2066)*(3*g + 940)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/(-3)*(6 + -3). Let j = -18 - a. Suppose -54 = -4*y + 2. Calculate the greatest common divisor of j and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1250*p + 453. What are the prime factors of l(7)?\nAnswer: 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -1883 + 1913, -15*j - 89 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9367483.\nAnswer: 9367483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + -16)*-1*5\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239.8 + -236.8. Sort 0.5, -2\/13, -3, z.\nAnswer: -3, -2\/13, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -5*c - 15, -5*c - 3 = 2*j - 4*c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 + 34*b**2 + 47*b - 2. Determine l(10).\nAnswer: 1868","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 9. Let b be z(-6). Let p(s) = -s**2 - 10*s - 6. Let h be p(-9). Sort 2, h, b in decreasing order.\nAnswer: h, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**6*o))\/o**(2\/15)*o\/(o\/((o*o**3)\/o)*o)*(((o*o**(2\/3)*o)\/o)\/o)\/o assuming o is positive.\nAnswer: o**(-67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.04, -538\/67, 13?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + ((sqrt(684) + 1 + -5)**2 - (1 + sqrt(684) + 4)**2 - (((-1*sqrt(684) - sqrt(684))**2 - sqrt(684))*-1 + -4*sqrt(684)*1))).\nAnswer: -8190 + 270*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 668*b**2 + 3 + 3*b**3 + 0*b - 4*b**3 - 675*b**2 + b. Let f = 1 + -8. Let k be i(f). Sort 10, 3, k, 4.\nAnswer: k, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 789*x - 8676. Let a be k(11). Solve -69*q**2 - 243\/2 + 216*q - 24*q**a - 3\/2*q**4 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -181575, -181535, -181497, -181461?\n\"Answer: -i**2 + 43*i - 181617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.4, 2, -2\/55, -4, 172?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 1055*g**2 + 50 + 968*g**2 - 1953*g**2.\nAnswer: 70*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u - 4. Let r(y) = -56*y + 13. Let t(l) = r(l) + 3*s(l). What is t(1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22272*d**2 + 39096*d**2 - 16832*d**2 - 3*d.\nAnswer: -8*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 - 68*y**2 + 229*y + 175. What is j(-37)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33828609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916 is divided by 116?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 1. Let n = 4190 - 4191. Let o be 3*(2 - 2\/3). Let t(v) = v**2 + 6*v + 2. What is n*t(i) + o*l(i)?\nAnswer: -i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 12 + 78. Suppose 3*l - 4*l + d = -3*k, -59 = -2*l - k. Is l bigger than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:05 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(3 + -1) + -2)*5. Let w(m) = 6*m + 28. Let t be w(u). Let d be ((-2)\/4)\/(t\/20) + -2. Solve -d*g + 2*g = -4*b - 17, -2*g = -2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/112)\/(68\/102*(-3)\/(-152)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16\/33 + -2\/11. Let t = -105\/209 + 13\/19. Let r = -0.2 - -3.2. What is the closest to a in -1\/5, r, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -243d (base 16) to base 5\nAnswer: -244102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2711400216 minus -0.07066?\nAnswer: -2711400215.92934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13536 + -2?\nAnswer: -13538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 = -3*h + 68, 5*h + 4*l - 125 = 0. Let n(m) = m + 49. Calculate n(h).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 39*i**5\/5 - i**4\/12 + i**3\/6 + 67*i. Let j = 21 + -20. Is z(j) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**5 - 417*w**3 - 3*w**2 - 64*w - 6. Let h(x) = 2*x**5 + x**2 - x + 2. Let p(m) = -a(m) - 3*h(m). Find the second derivative of p(k) wrt k.\nAnswer: -40*k**3 + 2502*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2822, -9826, -21126, -36716, -56590, -80742?\n\"Answer: t**3 - 2154*t**2 - 549*t - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 9*b + 12*b - 2*b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/25)\/x**5*(x*(x**(-5)\/x)\/x*x)\/x**(-3) assuming x is positive.\nAnswer: x**(-173\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -303*q + 4 - 130*q**2 - 301*q + 602*q. Suppose 0 = -r + 3 - 11. Let u be h(r). Round u to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 - 111. What is the biggest value in -2, -5, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-127 + 125 - (1 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + s. Let l(o) = -31*o**2 - 5*o - 11. Let v(n) = -15*d(n) - 3*l(n). Differentiate v(f) wrt f.\nAnswer: 156*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2450*m*y + 206*y - 7 wrt m?\nAnswer: -2450*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 5\/4, -0.06, -557?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 18*j**2 + 22*j - 35. What is the hundreds digit of g(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5329 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75675 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, -96, -249, -546, -1035, -1764, -2781?\n\"Answer: -8*x**3 - x - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.17, -1, 71852, 2, 0.5 in ascending order.\nAnswer: -1, 0.5, 1.17, 2, 71852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from {c: 3, f: 1, b: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/2)\/(72\/32). Suppose 0 = -4*g + 4*p + 4, -2*p - 4 = -3*p. Let m be g\/10*20\/2. What is the second biggest value in n, 1\/2, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125 - 125 + x + 4*x**2)*(4*x**3 - 12 + 12).\nAnswer: 16*x**5 + 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015472 to five decimal places.\nAnswer: 0.00155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -1) + 2 - -2. Suppose 4*j - y + 15599 = 0, 0 = 5*j + 2*y - f*y + 19498. What is j rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5 - 3 + 4*p + 4*p**2 + p**2 + p**3. Let v be (-4)\/(-10) + 51\/(-15). What is the remainder when m(v) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 114 = 4*r, 5*t + 3*r - 125 + 7 = 0. Suppose 0*a - a = -4. What is the least common multiple of a and t?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00867637 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 1:52 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 935.6976 litres?\nAnswer: 935697.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 3*c = 0. Suppose a = m - 55, c = -0*m + 3*m - a - 167. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46503 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -662806*i**3*r*w + 24*i**2*r*w - 2*i**2*r - 2*i**2 - 311*i*r*w + 2*i wrt i?\nAnswer: -3976836*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1047052 to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*a - 684788 = 2*g, 4*g = 4*a - 2739164. Let p be 1654789 + ((-26)\/(-6) - 10\/(-15)). Let k = p + g. What is k rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**3 + 6620*t**2 - 6615*t = 0. Calculate t.\nAnswer: 0, 1, 1323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.26 - 19.37. Let c = t - -0.11. Let r = c + 5.99999. What is r rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*((-56)\/(-7))\/8)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 255, 7102, 25695, 61908, 121615?\n\"Answer: 979*v**3 - v**2 - 3*v - 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - 42. What is the smallest value in 0.3, 9, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -121*z - 132. Let s(l) = -8*l - 9. Let o(w) = 3*p(w) - 44*s(w). Let a(n) be the third derivative of -2*n**5\/15 - n**2 + 36*n. Calculate a(o(y)).\nAnswer: -968*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haaaaaaaaaaaaaa. Give prob of picking 2 a.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 7. Let y be d - 3 - (0 - 44). Suppose 0*p = 2*p - y. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 20*f. Let q(k) = 30*k. Let u(p) = -8*l(p) + 5*q(p). Let h(z) = -39*z**2 + 24*z. Let o(t) = 8*t**2 - 5*t. Let g(d) = 5*h(d) + 24*o(d). Give u(g(n)).\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -148 + 8. Let i = 64 - b. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by ((-48)\/(-1080)*27)\/((-6)\/(-1220))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-8\/5)*b*b*b)\/b)**(6\/7)*(b*b*(b\/(b*b*(b\/(b**33\/b))\/b))\/b)**(-47))**(3\/16) assuming b is positive.\nAnswer: b**(-11271\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15.908*-0.16\nAnswer: -2.54528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-4)*14*28\/101724?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**2\/5 - 344*g - 36980 = 0?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790*h - 515 = 19537 + 5228 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 117687077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is (-766115)\/(-91) - (-6)\/39 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1712 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 + 110\/236. Let h = 92\/767 - j. Let t = -2925 - -2924.7. Which is the nearest to 0? (a) 18 (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9523 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6699*d**3 + 14*d**2 - 27*d + 76. Let v(n) = 1340*n**3 - 3*n**2 + 6*n - 16. What is -4*s(b) - 19*v(b)?\nAnswer: 1336*b**3 + b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - -34. Suppose -q - 1972 = -3*c. Suppose y = -2*j + 105 - c, 1128 = -4*j - 4*y. Round j to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6574 + 44809. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**6*u**(-1)\/u)**(-35))**(-22) assuming u is positive.\nAnswer: u**(-5390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 44*t**2 - 373*t - 16387. Give w(-44).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -9. Suppose -33 = -4*m + 5*r, -r - 5 - y = -2*m. Sort -4, -2, m, -1 in decreasing order.\nAnswer: m, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*o**6*v - 14*o**3*v**2 + o**2*v - 98*v**2 wrt o?\nAnswer: -11040*o**3*v - 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -4*m. Let l be 1\/(-2)*3*m. Let n = l - -3. Is -2 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 + 4*j**2 - j**2 + (-1 + 1 - 3*j)*((0 + 6 - 4)*(-2 + 2*j + 2) + 2 - 2 - 3*j) + (-14*j**2 + 2*j - 2*j)*(-3 + 3 + 3) + j**2 + j**2 + 0*j**2.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m + 4. Suppose 3*g + 0*g = 3. Let y(a) = -a - 1. Let w be (-220)\/(-50) + (-2)\/5. What is g*b(h) + w*y(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 less than 384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/23)*p*p*(p*p*(p\/(p**(-9)*p))\/p*p)\/p)**(-1\/16))**10 assuming p is positive.\nAnswer: p**(-170\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 14 = x, -x = c + 3 - 1. Let o(w) = w**3 + 4*w**2 - w - 2. Let t be o(x). Suppose -3*p = r - 265, -3*p + 2*p = t*r - 85. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3214*i**2 - 5 + 8847*i**2 - 2943*i**2 - 3003*i**2.\nAnswer: -313*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -1. Suppose 0 = o*b - 0 - 24. Let d(w) = w**2 - 2*w - 4. Calculate the least common multiple of d(b) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.03, 0.2, 1\/4, 1\/3, -51?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 827.7798kg to micrograms.\nAnswer: 827779800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 3, k: 8}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - ((-5 - 3) + 13 - -3) - -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439858.7 hours in days?\nAnswer: 59994.1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138381*v**2 + 148832*v?\nAnswer: -276762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*n**3 - 27*n**3 - 21*n**3 - 2*n**2 to q*n**3 + m + j*n + g*n**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6029, -29811, -69447, -124937, -196281, -283479?\nAnswer: -386531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 61566 from 115.\nAnswer: -61451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.3 - 8. Let q = -0.2 + f. Let m = q + -0.2. What is the closest to m in -0.1, -4, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/3*-3*(-9)\/(-4). Suppose 3*g = 2*c - 6, 2*c - p = -c + 4*g. Solve 3*o - 2*o = -c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -5*t**3\/3 - 485*t**2\/2 + 990*t - 1858. Factor w(b).\nAnswer: -5*(b - 2)*(b + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1624, 3248, 4872, 6496, 8120?\nAnswer: 9744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 12. Let h be d(-5). Let i(a) be the third derivative of 0 + 1\/2*a**3 - 4*a - 7*a**2 + 13\/24*a**4. Let g(p) = 4*p + 1. What is h*g(k) - 2*i(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**5\/20 - 10*b**4\/3 + b**3\/6 + 20*b**2 - 229*b. Let j(h) = 0. What is h?\nAnswer: -40, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**2\/9 + 38727220*j\/9 - 25818152\/3 = 0. What is j?\nAnswer: -9681807, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*g + 111*g - 5 = -k, -5*k = -2*g + 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*t + 29, -14*t = -19*t + 3*s - 27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 19) + -1 + 0 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 212346737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3549*h**2 + 45529*h - 262*h**2 + 847*h**2 - 45529*h + 2*h**2 - 7*h**2 + 3*h**2 + (3*h - 5*h + 0*h)*(-2*h + 2 - 2).\nAnswer: 4136*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*l + 168*l + 84 = 0. Solve -l*g - 7 = 1, -3*g - 21 = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -30*j - 3. Let g be d(-4). Let i be (-895)\/(-10) + -12 - 2\/(-4). Calculate the greatest common divisor of i and g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 - 15*h**3 - 5*h**2 + 9*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.85 - 304.85. Let b = n + 303.97. Put b, -1, 2\/9 in descending order.\nAnswer: 2\/9, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98021438 is divided by 141038.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8*a**2 + a + 6. Let q be v(2). Suppose -6*s - q = -10*s. Find the third derivative of -17*l**4 + s*l**4 - 12*l**2 - 16*l**4 - 8*l**2 wrt l.\nAnswer: -552*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 361, 71, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 11*a**2 - 9*a + 10. Let d be t(-10). Suppose -5*y - 5*c = 20, d = -3*y + 5*y - 5*c + 1. List the prime factors of y\/(-1)*(-1 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a decade?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1511 - 782. Let p = s + -717. Let i = -1 - -4. What is the highest common factor of i and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208 - -249. What are the prime factors of g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 92, 5, -952, -13 in descending order.\nAnswer: 92, 5, -3, -13, -952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*j + 10 = 15, -b - 4*j + 23 = 0. Find the third derivative of 0*q**6 + q**3 + q**6 + 5*q**3 - 9*q**6 + q**2 - 8 + q**b wrt q.\nAnswer: -960*q**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 984751591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2826452826 + 2826452959.9999999. Let s = o - 134. What is s rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/8)\/((-12)\/(-48)). Let r be (x\/60)\/(2\/(-8)). Factor 1\/5*a**3 + 0 + 2\/5*a**2 + r*a.\nAnswer: a*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 177 + -51a5?\nAnswer: -502b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6559 - -6555. Sort k, -1, -3, 21, -5 in descending order.\nAnswer: 21, -1, -3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/58707 and -8\/26685.\nAnswer: 293535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, 60, -2.9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.55393 and -4?\nAnswer: 22.21572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*p + 33. Let d = p + -6. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3\/4 - 15*m**2\/2 - 20*m.\nAnswer: 5*m*(m - 8)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 3*d + 72, -4*d + 89 = -637*f + 634*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) -5 (c) 1\/4 (d) 2\/3 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(300) + 4*sqrt(300) + -4 - sqrt(300)) + -4 - (-3 + sqrt(300) + sqrt(300))*-5*-3) + -3)**2.\nAnswer: -1019780 + 88400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q*q)\/q**(1\/4)*(q\/q**(-1))**19 assuming q is positive.\nAnswer: q**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1803127 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220110 - 1200?\nAnswer: 1211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l = 4*n + 34*l - 2424, 0 = 2*n - 2*l - 1210. Is n a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 0)*(2 + 3 - 3)*(3 - 3 - 2) - 5 + 1 + 3)*(4103*h**4 - 2791*h**4 - 2128*h**4).\nAnswer: -2448*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 333, 1016, 2051, 3432, 5153, 7208, 9591, 12296?\n\"Answer: -s**3 + 182*s**2 + 144*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**5 - 797652*g**4 + 7*g**2 - 354836*g wrt g.\nAnswer: 240*g**2 - 19143648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 834451.3\nAnswer: 3337805.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9702 + -9351. What is the greatest common factor of u and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + ((0 + sqrt(300))*-3 - -5*(sqrt(300) + sqrt(300)*-2)))**2.\nAnswer: -1120*sqrt(3) + 19249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.11, -35084, -2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(((x**21*x)\/x*x*x)\/x))\/x)*x)**(-22)\/(x**11\/x)**(-41) assuming x is positive.\nAnswer: x**(-118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 10*o**2 - 7*o - 12. Let u be b(9). Suppose 0*y + 3*y - u = 0. Let m(l) = 2 + 3*l**3 + y*l + 0*l - 4*l**3 + 3*l**2. Determine m(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(66)\/sqrt(6) - (-3 + 3 + sqrt(11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -950994922 divided by 2\nAnswer: -475497461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1216)*4 + sqrt(1216) - (1 + -3*sqrt(1216))**2.\nAnswer: -10945 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-2)*(-5)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 4344301424?\nAnswer: 4344301421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + r - 2*r)*(4 - 1 - 4) + 3*r - 5*r + r - 2*r + 0 + 0 + 9465 + 7*r - 4775 - 5004.\nAnswer: 3*r - 314","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i**2. Let y(s) = s - 2. Let w(u) = -5*u + 11. Let x(p) = -2*w(p) - 11*y(p). Determine j(x(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, -4, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/57154 and -103\/172200.\nAnswer: 120023400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 + -102. Suppose 0 = -13*r - 775 + 853. Which is the nearest to -0.2? (a) 0.2 (b) r (c) u (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 812.5301 centuries to decades.\nAnswer: 8125.301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -8*j + 30, -4875 = 3*j + 2*u - 4880 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - 48. Let f(a) = 6*a**3 - 2*a**2 + 2*a + 5. Let o be f(c). Suppose 4*g + g = o. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -0.0663.\nAnswer: -0.0337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 0\/(-4))\/(-8 - -7). Solve 4*q - a = 7*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + 3 + -16 + -161 + 164?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4067*s + 4*q + 20 = 4063*s, -4*q = 5*s + 23 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -23. Suppose m = 3*o - 72. Let y = o - 18. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2 + 145*x - 35. Determine d(36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.600025 minus -40336540?\nAnswer: 40336540.600025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 5:17 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, n: 9}. Give prob of picking 1 n and 1 o.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0. Let a = j + 4. Suppose -5*m + 5*t - 5 = 0, m + t = -3 - 0. Put a, m, 4 in decreasing order.\nAnswer: 4, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105 - -109. Suppose 4*a - 3*k - 56 = 55, 101 = n*a - k. Let j be (2\/3)\/((16\/a)\/2). Solve j*l = l + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 754, 755, 756, 757, 758?\n\"Answer: a + 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 3\/4 (c) -2\/7 (d) -0.07 (e) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*x + 6*x - 5*x = 0. Are x and 24\/379 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 6*r**2 + 39*r - 20. Let n(q) = q**3 - 7*q**2 - 38*q + 22. Let s(y) = 6*j(y) + 7*n(y). Calculate s(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -6455, -3, 13 in descending order.\nAnswer: 13, -3, -36, -6455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 96608861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 129, 291, 551, 903, 1341, 1859, 2451?\n\"Answer: -q**3 + 55*q**2 + 4*q + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1264*q - 68*q - 5182 = 112*q + 8910 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 16*z**2 - 15*z. Suppose -5*d + 100 = -5*h, h + 5*d - 1 = 9. Let i be o(h). Solve -4*b = -i*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -8\/5*t - 2\/5*t**3 - 14 + 1\/20*t**4 - 3\/2*t**2. Suppose d(y) = 0. What is y?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**3 + 8*c**3 - 13*c**3 - 15*c**2 to the form r*c**3 + a + z*c**2 + y*c and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 6:29 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.526 - 23198.632?\nAnswer: -23199.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.112, 1.4, -29?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 520 and 6528.\nAnswer: 424320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 398760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 + 10*z**2 + 2*z - 6. Let n be h(5). Suppose -4*b + 4 = -n. Solve v + 3*x = -2*x + 21, -5*v + b*x - 30 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147870, 147882, 147898, 147918, 147942?\nAnswer: 147970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -59*z + 54*z + 15, -2*z - 6 = i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**5\/4 + 10525*y**4\/4 - 29520587*y**3\/4 + 9622477451*y**2\/4 - 221131726608*y + 2151153541251 = 0. Calculate y.\nAnswer: 11, 174, 5083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4 + 15\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 999 = 1465*o + 49100 + 20754 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**6\/60 + b**4\/8 + 3*b**2\/2 + 2. Let g(j) be the second derivative of r(j). Find the second derivative of g(i) wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 25*g**2 - 3*g - 4. What is the remainder when n(-2) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54344998*-1.\nAnswer: 54344998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 102. Let c be j(24). Suppose -4*n + 42 = -x, -c = 2*n - 4*n - 4*x. Calculate the remainder when n is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - s**2 + 2*s + 4. Let k be u(0). Let m be (3\/k)\/((-6)\/(-16)). Suppose -4*v - 174 = m*f - 2332, 0 = 3*f + 5*v - 3241. Is f 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 -7623, -7621, -7619, -7617?\n\"Answer: 2*y - 7625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*h + 97*h - 149*h**3 + 249*h**3)*(2*h**2 + 0*h + 0*h).\nAnswer: 200*h**5 + 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 22*k + 104.\nAnswer: -(k - 4)*(k + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(44)\/sqrt(4) + -4)**2.\nAnswer: -40*sqrt(11) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**(-35))**(-42) assuming h is positive.\nAnswer: h**1470","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/181133 or 1?\nAnswer: -2\/181133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4 + 1 + j + 1. Let q be 6\/21 - ((-768)\/14)\/(-3). Let u be (-315)\/q*4\/10. Calculate z(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -200749 divided by 1?\nAnswer: -200749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - 2*y + 0*y)*(-2 - 2 + 1)*(-13*y**2 - 8*y**2 - 16*y**2) to j*y + v*y**3 + g + l*y**2 and give v.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/28*14\/(-28)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sus when three letters picked without replacement from sssssuussuususssss.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 6. Suppose 1066*w + 2*u + 32 = 1069*w, -2*w - 8 = -5*u. Calculate the greatest common factor of i and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/5 - (-5 + 2). Which is smaller: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**4 - 73826*k**3 + k**2 + 1436712*k wrt k?\nAnswer: 12*k**2 - 442956*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24831622?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 + 2*r**3 - 268*r**2 + 268*r**2.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 15 (b) 0.5 (c) -0.5 (d) -12\/83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 86. Let b be d(0). Let l be b\/(-82) - (2 - 1). Is 1 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 220?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4 - 5*q**2 + 1 - 2*q**3 + 1 to u*q**3 + s*q**2 + j + n*q and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 11. Let b be (-121)\/(-1452)*12\/(-10). Sort b, c, 0.1, 4 in increasing order.\nAnswer: b, 0.1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 11*j**6\/120 + 49*j**5\/60 - 3*j**4\/8 - 189*j**2 - 7*j. Let a(t) = -3*t**3 - 12*t**2 + 2*t. Determine 9*a(g) + 2*w(g).\nAnswer: -5*g**3 - 10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 1040662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(304) - sqrt(152)\/sqrt(800).\nAnswer: -4 + 39*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3374, -6714, -10054, -13394, -16734, -20074?\nAnswer: -23414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in 0.4, -0.4, -2, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 10*p**2 + 18*p + 7. What is l(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-23))\/d**(-2\/9))**47 assuming d is positive.\nAnswer: d**(10246\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + a + 1. Let k be n(0). Let v(u) = -u**2 - 7*u + 45. Let g = -59 - -48. Let y be v(g). Do k and y have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - 136?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 246525 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yygg when four letters picked without replacement from {g: 6, y: 6}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 230 - 378. Calculate the highest common factor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90)*-1)\/sqrt(5) + -5*sqrt(18)*-2)*-4)\/((1*sqrt(54))\/sqrt(9) + sqrt(6) + 3*sqrt(30)\/sqrt(5)).\nAnswer: -36*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8919 + -7379. What are the prime factors of f?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/(-7))\/(710\/(-70) - -10). Let f be (24\/d)\/(8\/(-20)). Solve -3*p + 20 = -s, f*s + 4*p - 25 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbb when three letters picked without replacement from bttbt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 562.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1 - l + 2*l - 2*l. Let c be v(-1). Suppose -277 = -3*s - 4*h, -h - 227 = -c*s - 46. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 22496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 f when three letters picked without replacement from {c: 3, l: 6, f: 6}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/((a\/(a\/(a**(-3\/10)\/a)))\/a))\/a**(-4\/13))\/(((a**(-3)*a)\/a)\/(a**(-7)\/a*a*a)) assuming a is positive.\nAnswer: a**(339\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 6:11 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 349 - 248. Suppose 4*o - 2*u - 178 = -0*o, 5*u - p = -3*o. Suppose -2*c + 61 - 17 = 2*x, -c = 2*x - o. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112 + 187. Let j = 14 - 10. Suppose j*m + m = x. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7*d*d**(-1\/2)\/d)**(-1\/7) assuming d is positive.\nAnswer: d**(-13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 2619 + 2619.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/(44\/(-8)) - 27\/(-3). Solve 0 = v*n - 116 + 102 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 159*g + 14. Let k be q(0). Solve -3*c + 34 = k*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015047107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0)**(-33))**(-42))**(1\/3) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a - b?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 8*r**2 - 9*r**3 - 11 - r**3 + 9*r**3. Let b be c(8). Let k be 1*-2 + 1 - 9. Sort k, -2, b in decreasing order.\nAnswer: b, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from oogxcggzg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*o - 69 = -1, -5*x + o = 362. Let v = x - -289\/4. Sort v, -2, 57 in increasing order.\nAnswer: -2, v, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -358*a**2 - a + 131.\nAnswer: -716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = x. Suppose 34 - x = v - 3*p, 5*v - 154 = 4*p. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 16815 = 5*o, 4*o - 14743 = 7*h - 1248. List the prime factors of o.\nAnswer: 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 664045536 divided by 264\nAnswer: 2515324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 6. Let q be (-78)\/(-10)*2\/n + 3. Which is the second biggest value? (a) 1\/3 (b) -0.1 (c) q (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 290*q**2*w + 58*q**2 + 3*w**2 + 23 wrt w.\nAnswer: 290*q**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/10)\/((-14)\/(-1330)). Suppose -3*k + 7*k = -188. Let w = k - j. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 17)*(88\/16 - 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 402 + 3?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -9392357 smaller than -9392354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c = 27*c - 45. Calculate the greatest common factor of c and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 81. Let n = q - -46. What is the units digit of 5 + (-1)\/n + 77?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -210133213?\nAnswer: 210133220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, a: 1, n: 2, c: 2, g: 2}. What is prob of sequence cngi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 6*r**2 + 9*r - 10. Let w be d(7). Is ((-508)\/3)\/w*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 11. Let d(b) be the first derivative of -12 + 3 + j*b - 8*b + 5*b**2. Let y(s) = -2*s**2. What is y(d(c))?\nAnswer: -200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*u - 93*u + 30*u + 32*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**22)\/y**14*y**(-23)*y**(-15\/8))**1 assuming y is positive.\nAnswer: y**(-479\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, t: 1, v: 3}. What is prob of sequence tvn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45448 - 92029 = -17*w + 106402. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 2 - 8*d + 8*d + (51 - 31 - 83)*(-3*d + 8*d**2 + 3*d))*(3 - 3 - 2*d**2).\nAnswer: 1012*d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 9:19 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -21. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3 (b) 8 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 7*p - 33. Let d be w(-10). Suppose 5 = -2*x + 15. Let q be (-9)\/x - (-6)\/3. Sort d, q, -4 in decreasing order.\nAnswer: q, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 6*g**2 + 2*g - 13. Determine f(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2561986626 to the power of 1\/2, to the nearest integer?\nAnswer: 50616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10363 is divided by 2719?\nAnswer: 2206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11946222 and 46314?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 3. Let r(w) = 76*w + 79. Let a be r(-1). Let l(i) = -4. What is a*l(k) - 4*d(k)?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 - 2*m**2 - 4*m**2 to the form r*m + h*m**2 + t and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/14 and ((-8904)\/(-224))\/(9\/2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 14*f**3 - 95*f**2 + 15*f - 225. Give m(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 - 59. Suppose -q*n = 2 + 22. Which is smaller: -2\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(121)*-1*-6 - sqrt(121))\/(-4*1*sqrt(11)) - ((sqrt(176) + (sqrt(176) - (5*sqrt(176) + sqrt(176))))\/sqrt(4))**2*5).\nAnswer: -7040 - 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + 0.1. Let u(x) = -x**3 - 48*x**2 + 516*x - 26. Let h be u(9). Which is the nearest to h? (a) -1\/4 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -523 minus 10.8?\nAnswer: -533.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 10. Let t be 11 + 1 + (-2 - x). Suppose 3*j - 7*j = 2*h - t, 4*j - h - 13 = 0. Solve 3 + 12 = -j*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1867 - 14953\/8. Calculate the common denominator of z and -95\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*1\/((-10)\/12). What is the third derivative of t*p**2 - 5*p**3 + 20*p**3 - 44*p**2 + 22*p**2 wrt p?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -28*g + 1. Let o be w(2). Let l = 46 + -278. Let h = l + 178. Is h > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7*(24\/8 - (-3 + 5)). Solve 0 = a*z + 22 - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 12. Suppose 8 = v*a - 4*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwccgggcwcgggvccnc. What is prob of picking 1 c, 1 g, and 1 v?\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -1191?\nAnswer: -476.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4024433 a multiple of 798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**5\/5 + 14*o**4\/5 - 58*o**3\/5 + 26*o**2\/5 + 56*o\/5 - 8 = 0.\nAnswer: -10, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**3 - 29*l**2 - 4*l + 29. Give p(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 11 + 61. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73757105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 90, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (14 + -6 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 1:11 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 5*t**2 + 753*t + 2279. What is l(-3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y + 27. Let s be x(-13). Let h = 32 + s. Solve 3*d - 2 = h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -527, -375, 37, 841, 2169, 4153, 6925, 10617?\n\"Answer: 22*d**3 - 2*d**2 + 4*d - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12155 = 11898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 4*s - 8. Let v be 5\/18 + s\/4. Let p = -17273 + 17275. Which is the smallest value? (a) v (b) p (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*j + 83*j = 167*j - 68. Let y(n) be the first derivative of 0*n + 0*n**3 - 9\/4*n**j + 10*n**2 + 10. What is the second derivative of y(d) wrt d?\nAnswer: -54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -493 - -489. Let g(q) = 4 + 7*q**3 - 6*q**3 - 2*q**3 - 5*q + 4*q**2. Let o be g(3). Put -3, o, 4, b in descending order.\nAnswer: 4, o, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -1\/6, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 3. Find the second derivative of 6*y**5 + y + 0*y - w*y wrt y.\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(660)\/(2*sqrt(12)))\/sqrt(5).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*h - 3*u, 0*h + 9 = 5*h + 3*u. What is the least common multiple of 11 and h - -2 - 0\/(-7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630020 is divided by 1455.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 396.831 and 3237.52.\nAnswer: 3634.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2\/9, -1818\/17 in ascending order.\nAnswer: -1818\/17, 2\/9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 4a53e58?\nAnswer: -4a53e5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 z when four letters picked without replacement from {h: 2, z: 6, q: 1, n: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oao when three letters picked without replacement from {a: 1, o: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*n + 86366 - 95934 = 0 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.493 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**2))\/(t*t\/(t*(t*t\/(t\/(((t*t**8*t)\/t)\/t)*t)*t)\/t)*t))**(-40)*(t**(3\/5)*t\/(t\/t**(-8)))**(-2\/47) assuming t is positive.\nAnswer: t**(-37526\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*h - 5*j - 13, -2*h = 3*j. Put 4, h, -4 in descending order.\nAnswer: 4, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149209 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.348 - -4.322. Let g = -5 + k. Round g to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.81 + 8.2. Let t = k - 6.79. What is t rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 - 122*w + 5 + 21*w**4 + 4*w**4 + 69*w wrt w?\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/6912308 and 77\/260.\nAnswer: 34561540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 - -60. Let v(n) = 0*n**2 - n**2 + 0*n**2 + 8*n - 6. Let c be v(5). Solve o + t = -c, -5*o - u*t + 6*t = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.659 + 0.659. What is the smallest value in -2, g, 7, 0.8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2410 and 127\/686424?\nAnswer: 827140920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + 66. Let f(x) = 5*x - 45. Suppose -3*d - b = b - 65, -3*d + b = -80. Let l be f(d). Calculate the greatest common factor of l and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.038 (c) 2\/209 (d) -0.08 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31232 - 11301?\nAnswer: -103133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16137 + 903*s - 16137)*(-3 + 0 + 4)*(0*s**4 + 2*s**4 - s**4).\nAnswer: 903*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*l, 895*q - 893*q - 3*l = -26 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*u + 22 = 0, -5*u - 4 = -5*n + 6. Let c = -1 + n. Factor c*w**3 + w + 3*w**5 - 6*w**4 - 22*w + 24*w**2 - 11*w**3 + 6.\nAnswer: 3*(w - 1)**4*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38552 - 38552 + 129*q**2.\nAnswer: 129*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 415306?\nAnswer: -415320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 876000 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 97471 and 921544?\nAnswer: 10136984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -16.7 + -2\nAnswer: -18.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.01, 0, -0.5, 4, 5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (156*g + 18755 - 18755)*(-4*g + 0*g + 5*g) as u*g + j*g**2 + p and give j.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*u, 2*u = -o + 194 + 406. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 76 = -5*w - 0*p, 0 = -5*w + 2*p - 77. Let r = 14 + w. Is r greater than -3\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 1. Let b = -5 - -13. Calculate the least common multiple of b and x\/(-4) - 33\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -13 - (-352 + 335)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125)*1 + 0)*-4 - (-1 + 3 + (1 + sqrt(125) - sqrt(125))))*-1 + 0)**2.\nAnswer: 120*sqrt(5) + 2009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 247 + -259. Is -1*((-2)\/6*m - 53777) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-7) - (-432)\/126 - -143 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1845 - 1842. What is the closest to 30 in -1, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**0*d)**(3\/31)*(d*(d**(-2)*d)\/d)\/d**(-3\/5))\/((d**(-1)*d)**45)**(5\/7) assuming d is positive.\nAnswer: d**(-32\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 792*d + d**2 - 1 - 395*d - 398*d + 16*d**3 to u*d**3 + s*d**2 + h*d + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 2*m + 24, -5*m - 529 = 4*x + 575 - 1062 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.036 and -0.011.\nAnswer: 0.000396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(2\/59)*g)\/(g*g**(1\/23)\/g))**(-26))**(-1\/23))**(-38) assuming g is positive.\nAnswer: g**(-2668588\/31211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s. Let z(k) be the first derivative of -2*k + 0*k**2 + 1\/6*k**3 + 2. Let a(m) be the first derivative of z(m). What is y(a(x))?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**4 - 2421*x**2 + 21049*x?\nAnswer: -24*x**2 - 4842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r - 12. Let m be o(-11). Let q = 88 - m. Suppose 4*h - q = 19. Solve 0 = 2*s - 5*s - h*b + 6, -21 = 3*s - 4*b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1458200421 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 66619064609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 13*z - 17. Let v be y(13). Let x = 102 - v. Calculate the remainder when x is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 591*i**2\/2 + 2357*i\/4 - 885.\nAnswer: (i - 1)*(i + 3)*(i + 1180)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 772 - -1712. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 + 106 = 0. Let z = c + 50. Solve s = -2*p, z = 3*s + 2*p - 4*p + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 153*q**2 - 124*q + 258. Is u(23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1166)\/(-4) - (230\/20 + -10). Calculate the greatest common divisor of r and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0233367834 * 0.2\nAnswer: -0.00466735668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from vtvvvvtvvvt?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -s + a, 3 - 15 = -3*a. Let b be (-2)\/4 + (-6)\/s. Let o be 21\/(2184\/16) - 3\/39. Is o < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 15 - 32 = -p. Let m = -55 + 50. Sort 36, m, 0, p.\nAnswer: m, p, 0, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 39*n**2 + 11*n + 2636. Differentiate w(o) with respect to o.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-6 - 0) + 16 + 34 + 18.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 7. Let m be g(11). Let y be -8 + 3 - m - -8. What is the highest common divisor of 49 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/12)\/(z**(-4)\/z)*z**3*z*z**(-4\/5))**(-4\/5) assuming z is positive.\nAnswer: z**(-497\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(1 - 1 - 1)*(-79*f**3 - 3856*f + 3856*f).\nAnswer: -158*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-14)\/(-8)))\/(-7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9774614?\nAnswer: 2, 1523, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3576301680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11\/2 + -5. Let g = 45.8 - 55. Let s = g - -9. Sort s, 2, i.\nAnswer: s, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -378 + 524. Let w = 114 - l. Are w and -32 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4368)\/(-36))\/(-7)*-66. Which is smaller: x or 1143?\nAnswer: 1143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 12*z**2 - 55*z - 26. Let s be o(6). What is the greatest common factor of 95 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 - (-130 - (124 - 269))\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssmm when four letters picked without replacement from ssmemcecc?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6709\/48)\/(7\/14). Let d = k - 278. What is the common denominator of d and -29\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 9*y**2 - 5*y**2 - 6*y**2 as i*y**2 + g + j*y and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 735 and -37497.3?\nAnswer: -27560515.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 4. Let v be x(-5). Is 12*(1 + v) + 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 12:51 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4) + -26 + 42 - (-66 - -56)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255967148?\nAnswer: 2, 3, 29, 3609101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 453823 to the power of 1\/2, to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*i + 1 = 2*i, i + 11 = 4*y. Suppose y*r = -4*g - 26, 2*g = -r - 0*g - 10. Sort 3, -1, r.\nAnswer: r, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -374519.83 to the nearest 100.\nAnswer: -374500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 1. Let y be j(-3). Suppose 10 = t - 6*r + y*r, 2*r = -2*t. Let q**2 - 2*q**t - 6*q + 8*q = 0. What is q?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 86*p**2 - 22*p**2 + 29*p**2. Let h(u) = 7*u**2 - 5*u. Let t(j) = 4*j**2 - 3*j. Let q(n) = 3*h(n) - 5*t(n). Give q(z(k)).\nAnswer: 8649*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.7 - 9.333. Let f = k - 0.867. What is the nearest to 1 in 0.5, f, 0.3, -0.28?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Let n be (3\/(c - 1))\/1. Suppose 14 = n*b - 2*b. What is the remainder when b is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 103*g - 662. What is c(109)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 12, 71, 184, 369, 644, 1027, 1536?\nAnswer: 2189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -3*c**5 + 63\/2*c**4 + 53 + 243*c - 108*c**3 + 81*c**2. Factor n(i).\nAnswer: -3*(i - 3)**3*(5*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2. Let x(l) be the second derivative of -7\/6*l**3 + 0 + 6*l + 0*l**2. What is x(p(c))?\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 24*f + 26*f + 6, 0 = 5*k + 4*f - 16. Let c be (3 - k - -4)*(-3 + 12). Solve 5 = 8*i - c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.043 - 0.043. What is the second smallest value in 4\/5, -1\/5, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-9)*w**(-3)*w*(w\/(w**(-2\/55)\/w)*w)\/w**(-1\/18) assuming w is positive.\nAnswer: w**(-6839\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a + 14*a**4 + 3*a - 10*a - 1 + 56*a**2 - 13*a**4 to the form t*a + o*a**3 + b + s*a**4 + l*a**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c*c\/c**12*c*c)\/c)**(-1\/35) assuming c is positive.\nAnswer: c**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-9*(-240)\/36. Let a be (-24)\/r*3*-5. Suppose a*j = 7*j. Solve j = -3*c + c - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*s + s**5 + 2*s + 0*s wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-13))\/(2\/4). Let q be (20\/45*-3)\/(68\/6). What is the nearest to t in 0.5, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0049619549 to 5 decimal places.\nAnswer: -0.00496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33000 and 200.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + v**2 - v - 1. Let u(y) = 3*y**2 - 2*y - 22. Let p = 4 - 7. Let o(l) = p*f(l) + u(l). Let i(g) be the first derivative of o(g). Give i(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1182837, -1182805, -1182773, -1182741, -1182709, -1182677?\n\"Answer: 32*l - 1182869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from nnonononnnn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 2, 0.3, 1, -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 2. Let v(l) = l**2 - 9*l + 11. Let i = -922 + 925. Let u be (14\/(-21))\/(1\/i). Calculate u*v(m) + 11*o(m).\nAnswer: -2*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 5:38 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 32*f**2 + 58*f - 58. Let b be q(-30). Find the first derivative of 14*y**b - 42*y**2 + 13*y**2 + y - 15 + 16*y**2 wrt y.\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*r**4 - 286*r**3 + 1128*r**2 - 1440*r - 128.\nAnswer: 2*(r - 4)**3*(12*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*t + 16 = 4*a, 2*t + 14 = 5*a. Suppose -13 - 2 = 3*i. Let s = i - -2. Sort 3, s, a.\nAnswer: s, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234 (base 7) to base 13\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34770352, -34770351, -34770350?\nAnswer: -34770349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) 8\/75 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.9 - -4.938. Let m = -0.046 - j. Round m to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*v - 6 = 0, -3*d + 5*d + 4*v = 2. Let c be (-1*d)\/((25\/5)\/25). Let m be 0 - 3 - c\/13. Which is smaller: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 26234 (b) 6 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 215*o**4\/3 + o**3\/6 - 1020*o - 1. Let k(m) = -2*m**2. Give h(k(d)).\nAnswer: 3440*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 248, 503, 826, 1223, 1700, 2263, 2918?\nAnswer: 3671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1372 = -7*k + 1498. Solve k*w + 2 = 19*w - u, -3*u - 5 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 334?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -19*y**4 + 22*y - 8. Suppose -9 = 4*m - 41. Let w(s) = -13*s**4 + 15*s - 5. Let a(f) = m*w(f) - 5*u(f). What is the second derivative of a(b) wrt b?\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 21. Suppose -c*n - 9 = 0, 3*b = -2*b - n + 57. Suppose -b*t + t + 1947 = 0. List the prime factors of t.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 78*j**3 - 76*j**3 + 4*j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 128779037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l*l\/(l*l**(-1\/2)*l)))\/l*l*l*l**(-3\/5))**(1\/4))**(-7\/8) assuming l is positive.\nAnswer: l**(-133\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -43*n + 15. Let v be i(5). Let f be (0 + -5)\/(1\/(-6)). Does 2 divide (-6)\/4*v\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49\/148? (a) -0.08 (b) -3\/7 (c) -0.3 (d) -1\/3 (e) 0.08 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 4119 = 5*r + 8227 - 4139, -35 = -5*v - 5*r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-3) - (5 + 2). What is the remainder when 19 is divided by 11*(1 + 4 + v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 172*y**2 + 4141*y - 306030.\nAnswer: (y - 30)*(y + 101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 241*g**6\/30 + 434*g**3\/3 + 606*g**2. What is the first derivative of n(w) wrt w?\nAnswer: 2892*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 2 - -1) + -8 + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) 0.4 (c) -9 (d) 0.1 (e) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and (10 + -4)*(-12)\/(-8).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2976888 is divided by 1664?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -12967*w - 22895. Give f(-2).\nAnswer: 3039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-23976)\/1702 - 8\/(-92). Let p(w) = w**2 + 7*w - 68. What is p(b)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from zzhzhzzgzhzzgggg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 7*o - 4. Let f(d) = -4*d**3 - 34*d**2 + 30*d - 5. Let r(s) = f(s) - 5*q(s). Determine r(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 - 33*v**2 + 45*v - 254. What is w(-18)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-297)\/162 - -2)*4. Let x = 0.01 - -1.99. What is the second biggest value in c, x, -5, 9\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 120418, 481450, 1083184, 1925632, 3008806, 4332718, 5897380?\n\"Answer: 2*r**3 + 120339*r**2 + r + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 540, 1841, 4016, 7071, 11012, 15845, 21576, 28211?\n\"Answer: w**3 + 431*w**2 + w + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/47 and (9\/(-60))\/(16\/(-1152))?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0*g**(1\/4)\/g)\/((g\/g**(5\/3)*g)\/(g\/(g*g*g**7))))\/(g**(-1\/5)*g**(2\/11)*(g**(-2\/5)\/g)**(10\/9)) assuming g is positive.\nAnswer: g**(-14869\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 20*z**2 - 22*z**2 + 5*z + 4*z**2 - 9. Determine f(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 (base 7) in base 4?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {k: 1, i: 1, m: 1, d: 1, z: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 796\/22 + 24\/(-132) + (4 - 2).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 424 - -10034210?\nAnswer: 10035034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, c: 3}. Give prob of sequence oc.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -12*(-3 - (-1)\/(-3))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 137*r**4 + 2*r + 111*r**4 + 0*r + (r**3 + 3*r**3 - 3*r**3)*(0*r + 0*r - 2*r) - 2*r**4 + r**4 + 2*r**4.\nAnswer: 247*r**4 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - 20. Let b = y + 32.9. Let u = -1.1 - b. What is the smallest value in 3\/5, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51676 + 12642?\nAnswer: -38034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.11 - 0.11. Which is the smallest value? (a) n (b) 15\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q. Let l(c) be the second derivative of c**5\/120 + c**3\/2 + 2*c. Let u(r) be the second derivative of l(r). Give b(u(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 21*p - 2 - 46*p + 25*p. Let a(s) = -3*s**2 + 7. Let t(q) = -6*a(q) - 21*u(q). Let h(l) = l + 0*l - 3*l. Calculate t(h(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 4*u**2 + 3*u. Suppose q + 10 = 15. Let n be (2 - q\/1) + 2 + -2. What is c(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*c + g + 725 = 47*c, 4*c - 973 = -5*g. Calculate the remainder when c is divided by 83.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16776 + 16797. Calculate the greatest common divisor of c and 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 245568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 41624202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -836 - -857. Solve 0 = j*l - 27 - 78 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -166 + 181. Let a(i) = -3*i**2 + 44*i + 19. Let x be a(r). Let o(k) = -k**3 + 3*k**2 + 4*k + 4. Calculate o(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -913 and -886?\nAnswer: 808918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4 - -4)\/5)\/(-1). Suppose q = 4*b - 1 - 7. Suppose 5*c = 3*x + 358, -125 - 86 = -3*c - b*x. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/((-14112)\/1216)*(-3843)\/(-122)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2333*n*t**4 + 2*n*t**3 - 2*n*t**2 - 4*n + 20*t**2 wrt t?\nAnswer: 55992*n*t + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.439910718 to 2 decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2459*a - 5. Let k be u(5). Round k to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-1*(-5 + 2). Let p be (-4)\/(-2 - (1 - 1)). What is the third derivative of 2*i**p + i**2 + 2*i**t - 2*i**2 wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 = -4*f. Let d(s) = s + 9. Let v be d(-6). Is (3\/(-2))\/(v\/f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 6*t + 145. Let w(i) = 5*i + 144. Calculate -3*c(g) + 4*w(g).\nAnswer: 6*g**2 + 2*g + 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000022595861 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(7260)*2 - sqrt(7260))*6)\/(((-2*sqrt(120) + sqrt(120))*4)\/(sqrt(10) + 4*(sqrt(10) - sqrt(30)\/sqrt(3)))).\nAnswer: -33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-14) + 90\/133 + 50115\/247. Solve -14*i - 133 = -x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9948.88 millilitres in litres?\nAnswer: 9.94888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*v - 43*v = -3*j + 74, -j - 5*v + 43 = 0 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/212 and 87\/28?\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**2 + 3*m**2 - m**2)*(14*m + 8*m - 29*m) to q*m**3 + a*m**2 + w*m + h and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29424.9186s in weeks?\nAnswer: 0.0486523125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 17. Let c = 24 + w. Suppose -3*y = -125 + c. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09332 + 1.465\nAnswer: 1.37168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Let w(f) = 8*f - 10. Let s(z) = -2*j(z) + w(z). Let b be s(1). Solve b = -2*i - 1 - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 n when three letters picked without replacement from nnnfnffnnnnn.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 10:11 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0478132 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171467\/280 + -3052\/5. What is the common denominator of -29\/469 and t?\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**3 + 22*x**2 + 18*x + 6. Let k be b(8). Solve 24*w = 13*w + k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -2\/7 (c) -0.23 (d) -1\/6 (e) 274 (f) 133 (g) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*a + 30*a - 693 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 = -11637*s + 11639*s for s.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 973*j**2 + 980*j**2 - 1950*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 26 = 4*h, -h - 21 = -4*m + 23. Let d(l) = -2*l + 21. Determine d(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 minus 10095.45?\nAnswer: -10364.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 7*p**2 - 3*p + 42. Let w be n(-8). Put 5, w, 8\/13, 1\/6 in descending order.\nAnswer: 5, w, 8\/13, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, -4, 2674?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 17*t + 49. Let s be d(-14). Let o(q) be the second derivative of q**4\/6 - 3*q**3\/2 + 4*q**2 + q. Does 12 divide o(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 19 + 20*q + q**2 - 44 - 26 + 0. Give x(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/10 - 2)*-5. Let z = -6 + 17. Suppose 2*b - 3*j = z, 0*j = 4*b + 4*j + i. Put -1, -5, b in ascending order.\nAnswer: -5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmqmmmmmmmmmmm. Give prob of sequence qmm.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 41*f - 1102. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 5, -7, 3 in descending order.\nAnswer: 5, 3, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 6*n**2 + 7. Let a be x(4). Let o = a - -152. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8518788?\nAnswer: 2, 3, 83, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/121))**(-12\/11) assuming t is positive.\nAnswer: t**(-1476\/1331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(8) - (sqrt(5)*-4 + -2 - sqrt(5))) + sqrt(20)\/(sqrt(64)*5)*-1.\nAnswer: 2 + 139*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 47\/4 - (4\/1 - 3). Let k = q - 113\/12. Let h = -1.1 - -4.1. Which is the second biggest value? (a) -1 (b) 0.5 (c) h (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 29 = 4*v, 2*v + 15 = 4*l - 3. Suppose -2*a + 4*x + 24 = 0, 4*a - 38 = a + l*x. What are the prime factors of ((-564)\/16)\/((-6)\/a)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, -115, 3 in descending order.\nAnswer: 3, -0.4, -1, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, 111, -2 in increasing order.\nAnswer: -12, -2, 2, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64947 divided by 3.\nAnswer: -21649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42230 + 42228.80132. Let g = 14.8 + -16. Let q = g - o. What is q rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 6*n - 40. Let j be i(-8). Calculate the greatest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-135)\/(-12) + 3 - (-4)\/(-16). Suppose 30 = 5*f - s, -11 - k = 5*s. Solve l - f = -g - 0*l, 0 = -2*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256 - 99. Let j = -222 + f. Let v = j - -65.1. Is v greater than -4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15c (base 15) to base 3.\nAnswer: 102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 - (-70)\/30. Suppose 2*n + 2*k + 20 = 0, 7 = z*n - 3*n - 4*k. Let v be 2\/3 - (-190)\/(-15). Which is greater: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (6 - (-3 - 4299))\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -16 + (165 - 87).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -277?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n + 12019 - 6006 - 6012 + 34*n.\nAnswer: 39*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = 1. Suppose -j + 3 = -o. Let k = 626 + -627. What is the closest to k in o, 0.4, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a - 118. What are the prime factors of c(-29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1118 + 29*g**3 - 1118 + (-5 + 3 + 3)*(-g**3 + 13*g - 11*g + 12*g**3).\nAnswer: 40*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 2)*((2*v + 2*v - 3*v)*(-2 + 2 + 1) - 3 + 3 + v - v + 2*v + 0*v + (-540*v + 58*v + 7*v)*(1 - 1 - 1) + 0 + 0 + v) as m*v + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17957424.\nAnswer: 2, 3, 61, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49474 + 196917\/4. Let m = 246 + v. Let y = -15 + 16. Is m at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-19638)\/(-96))\/((-2)\/8). Let g = c - -814. Find the common denominator of 77\/20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1160 - 487 = 13*w - 146 for w.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15232 and 1717?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 q when three letters picked without replacement from {q: 1, n: 5, i: 1, e: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b14a (base 12) in base 16?\nAnswer: 9c0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*h - 4*h + 7*h)*(-27*h + 28*h**2 + 27*h).\nAnswer: 812*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -83*d**2 + 6*d + 7. Let z(w) = 80*w**2 - 6*w - 6. Let i = -19 + 14. Let f(v) = i*j(v) - 4*z(v). What is the second derivative of f(m) wrt m?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**2 - 11. Suppose 3*v - 7 = 2. Let h(r) = 0 - v - 2*r**2 - 3. Let i(m) = 6*g(m) - 11*h(m). Let f(p) = -p. Give i(f(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.982 + -7. Let w = 0.018 + x. What is the closest to w in 3\/2, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 9:46 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3 + 8. Let r(b) be the second derivative of 2*b**2 + 0 - 4*b + 1\/6*b**3. Give r(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 174, 291, 434, 609, 822?\nAnswer: 1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*t + 36, -3*g - t = 2*t + 39. Let y = 177 + -164. Let b = g + y. Solve -h = -x - 5, 0 = b*h - 0*h - 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -202, -304, -408?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -234566+6\nAnswer: -234560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 852, -2, 1\/3, -9?\nAnswer: 852","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43814, 175470, 394974, 702326, 1097526, 1580574, 2151470?\nAnswer: 2810214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 51*u - 75. Let l be p(24). Which is the second biggest value? (a) -5 (b) l (c) -0.4 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*f - 2. Suppose -579 = -5*k - f*s, 0 = -2*k + 3*s + 163 + 64. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365222943.\nAnswer: 3, 433, 93719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 28. Suppose 45 = d*k - 111. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1139345 by 227869.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1611022*q**4 - q - 1219871 wrt q?\nAnswer: 19332264*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2, 1\/3, 24, -3, 608?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.39 + -0.66. Let y = o + -0.08. Do -0.1 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -72*(-1)\/((-2)\/(-35000)). Round p to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 12*o**2 - 662*o - 26. Calculate z(55).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4708802.\nAnswer: 2, 7, 48049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1140*k**2 - 1131*k**2 + 2273*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*d - 7 + 19 = 0, 4*d - 4 = 2*a. What is the smallest common multiple of a and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 + -5.3. Let o = 8 + r. Let z = 86 + -260\/3. Put z, 3, o in descending order.\nAnswer: o, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 17 = -5*n, 2*n = z - 0*n - 9. Suppose 4*g - 16 = -2*b, -7 = -4*g + z. Suppose -b*h = -w - 69, -5*h + w + w + 90 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 222615.\nAnswer: 1780920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j - 52*j + 20 = 0. Sort -5, j, -4, 5.\nAnswer: -5, -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*r**3 - r**2 + 102*r?\nAnswer: -24*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, -1\/2, -829.05, -0.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -2\/39, -1\/6, 0, -48695 in descending order.\nAnswer: 0, -2\/39, -1\/6, -4\/3, -48695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*l + 5*x, x + 28 = -7*l + 3*l. Let d(w) = -6*w**3 + 3*w**2 + 3*w. Let t(z) = -2*z**3 + z**2 + z. Give l*t(a) + 3*d(a).\nAnswer: -2*a**3 + a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/898786 and 13\/152.\nAnswer: 68307736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q + q + 13*q**2 + 7*q as g + v*q**2 + f*q and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.01415\nAnswer: 0.0283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1556166462 - 1556166462 - r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Let r be 0\/((2 - 3) + p). Suppose r = s - 4*s + 15. Solve -s*x - 1 = -l - 10, 4*l = x - 17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11704 - -70127. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + z + 3*z)*(-616*z - 12338 + 12338) to c + y*z**2 + r*z and give y.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 27 - 101 - 90)*(1865 - 54*y - 1865)*(-1 + 2 + 1) to u*y + k and give u.\nAnswer: 17820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*a + 23, -3*a - 1755*q + 1753*q = -17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 156 - 5a522?\nAnswer: -5a377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 10*i + 10*i)*(7*i**2 - 11*i + 11*i) - i**3 + i**4 + i**3 + (-1 + 1 - 2*i)*(-3*i**3 + 0*i**3 + i**3).\nAnswer: 19*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f = -6*f - 45. Suppose f*j - 8*j = -240. Let z = 13 - -9. What is the smallest common multiple of z and j?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + 4*o - 6*o**2 - o**4 - 14*o**3 - 5*o + 2*o + 4*o**2 to the form g*o**2 + w + j*o**4 + b*o + k*o**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*(-27)\/(-72))\/(-17 - -25 - 31\/4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -47. Suppose -s*i - 2*q - 3*q = -8, 0 = 5*i - 5*q. Find the first derivative of 0 + 3 + i + 1 + 26*h wrt h.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -4, 7 in increasing order.\nAnswer: -4, 2\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -3 (c) -2\/3 (d) 2\/9 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*d + 106172 = -244450. List the prime factors of d.\nAnswer: 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36, 68, 128, 222, 356, 536, 768?\n\"Answer: v**3 + 8*v**2 + v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4*h + 5 = -11, -2*s = -3*h + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -4 - 2\/3*y**3 + 3\/2*y**2 + 0*y. What is the second derivative of m(s) wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -734 divided by -367?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d. Let b(c) = -19*c - 3. Let y(x) = -10*x + 2. Let i(a) = -2*b(a) - 2*y(a). Determine q(i(v)).\nAnswer: 174*v + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 0 - -9) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372859 is divided by 362.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 541 + 311 = 50*t + 52. Suppose 5*z + 0*g = -g + 79, -4*z - 4*g + 60 = 0. What is the highest common divisor of t and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119 - 119.0984. Let b = 4.1 + -4. Let t = w + b. Round t to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7159006 is divided by 3579493?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 175, -4 in increasing order.\nAnswer: -4, -2, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7276916 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, h: 3, c: 4, b: 1, k: 1}. What is prob of sequence hbkh?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.45 - 2.26. Let p = 1.1899764 - n. What is p rounded to six dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8316, 7792, 7268?\n\"Answer: -524*o + 8840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (18 + -9) - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330198, 660432, 990702, 1321008, 1651350, 1981728, 2312142?\nAnswer: 2642592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*j = 20*j - 20*j - 590 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1029*u = -235*u - 16758 - 3092 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 103143?\nAnswer: -103153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 29*w**2 + 96*w + 3. What is r(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*36\/(6 + -2). Let t be (3 - -1)*d*16\/(-24). Let s = 18 - t. What is the highest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 63 - 26457d?\nAnswer: -26451a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*3\/40 + (-3)\/(-15). Which is the closest to r? (a) -0.2 (b) -2 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 6)*(2 + 24\/(-6)). Let k = a - 12. Solve k*m = -5*z - 20, 0 = 3*z + m + 3 + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + j**2 - j + 1. Let b(g) = 3*g**3 - 7*g**2 + 5*g + 6. Let d(z) = -b(z) + 2*s(z). Let n be d(8). Solve 0 = -6*t + n*t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*r + 4*n - 30, 0 = -2*r - 3*n + 24. Let k be 4\/r*(-3 + 0). Let a(x) = -1 - 3 + x**2 + 3. Give a(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3187, -3188, -3189?\n\"Answer: -x - 3186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 13) in base 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*u + 40 - 3, -3*j + 32 = -u. Let p = j + -8. Let f = 29 + -19. Solve -p*v + v - f = 5*k, -v - 4*k = 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3272, -3334, -3434, -3572, -3748?\n\"Answer: -19*v**2 - 5*v - 3248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.069 - 0.931. Let o be (-32)\/(-18)*1\/(-4). Which is the closest to 0? (a) o (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22958, 92489, 208370, 370601, 579182?\n\"Answer: 23175*q**2 + 6*q - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-15))\/(-1*16\/(-10)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**(-6\/13)*s)\/s)*(s\/s**10)\/s*s**(2\/7)\/(s\/((s*s**(-8)*s)\/s*s)))**(-2\/45) assuming s is positive.\nAnswer: s**(986\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18594290012094 + 61.\nAnswer: 18594290012155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111972 and 55986?\nAnswer: 111972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 - 17. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + c + 1. Let u(n) = 3*n**2 - 4*n + 9. Give 4*q(p) + u(p).\nAnswer: -p**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((-5 + 0 + sqrt(108))*-5 + -2) + 2)*-3)**2.\nAnswer: -315900*sqrt(3) + 730701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 132\/7? (a) -1 (b) -8 (c) -3 (d) 2 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 30*l**2 + 61*l - 90. Let d be p(-32). Solve 0 = 4*r - 0*o + 2*o + d, 2*r - 4*o + 28 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 511 + 5?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1.2. Let r = w + 0.5. Let z = -0.3 + 0.3. Which is the nearest to z? (a) -1\/5 (b) r (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.6, 0.1, -13, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.594 - 0.6. What is w rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373384 to the power of 1\/2, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Solve -f = -2*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 + 321\/6. Let q = y + -30. What is the remainder when 71 is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 144117?\nAnswer: 288234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 95*k - 148*k - 5 - 2.\nAnswer: -243*k - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16250 - 8322 - 7928 + 3*w**2 + 0*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -4 + (14 - 20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011100 + 11011000011?\nAnswer: 100111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.725 (b) 0 (c) 0.3 (d) -5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 158, 217, 270?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, -29 in ascending order.\nAnswer: -29, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 18*h + 3)*(12*h + 154 - 154) in the form w*h + i*h**2 + v and give i.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7966*x**4 + 677*x**3 + 358*x**2 - 62332 wrt x.\nAnswer: 191184*x + 4062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 9 (b) 0.01 (c) 84 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/168810 and -19\/90032.\nAnswer: 1350480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 + 10 + 2*m**2 - 19 + 2*m**2 to n*m + w + b*m**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + 2 - (6 + (1 - 1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2129 - -0.2129. Are p and -17727 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41096617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -2998684\nAnswer: -8996052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1742 + 3530. Is h a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t + t - 1 + 4*t - t**2 - t. Let f be (-29)\/5 + 2 - (-5)\/(-25). Calculate u(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 2*m**2 + 170*m - 1278. What is v(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 354*g*n**3*r + 2*g*n**2*r + 2*g*n**2 - 40*g*n - 11*n**3*r - 3237*n**3 - 50*n**2 + 584*n*r - r wrt n.\nAnswer: 2124*g*r - 66*r - 19422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(684) + (sqrt(684) - sqrt(684)*1))**2 + -1*(sqrt(684) - (0 + sqrt(684) + sqrt(684))) - (-4 + sqrt(190)\/(sqrt(50)\/sqrt(5))*-5).\nAnswer: -3416 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*v + 624 = -641*v + 308*v for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*l + 11 = -2, -19 = -5*i + 2*l. Suppose i*f + 128 = 11*f. Find the common denominator of 56\/(-36)*132\/f and -39\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 127 + -127.0000071. What is d rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 17*p**2 + 15*p + 109. Suppose -g - 4*s = -3*g - 70, 4*s = -3*g - 135. Let n = g + 70. What is the remainder when t(18) is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + 2*b**2 + 2*b**5 + (-2*b + 5*b - 2*b)*(-2*b**3 - 6*b**4 + 2*b**3) - 3*b**4 + 3*b**4 + 3*b**5.\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 78.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 0*p**2 + 0*p + 0*p**4 - p**3 - 3\/5*p**5 + 1. Find the third derivative of b(u) wrt u.\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1302)\/(-199206)*-9*(-2)\/(-4)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/35 or -0.3055?\nAnswer: -0.3055","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*t + 5945 - 11859 + 5914.\nAnswer: -60*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3817 * -0.2.\nAnswer: -0.07634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4016965 or 4016964?\nAnswer: 4016964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2 = -u. Find the common denominator of (-1113)\/(-270) - u\/5 and ((-10)\/4)\/(2\/3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17\/3)\/(3\/9). Let u = p - 9. What is the units digit of (-2)\/(2 - u\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f. Let r(z) = 7*z + 112. Let u(v) = 14*v + 226. Let x(s) = 9*r(s) - 4*u(s). Let k be x(-15). Let t(m) = 1. Determine k*c(q) - t(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, u: 7, c: 7, x: 2}. What is prob of sequence xcc?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-383)\/383)\/(((8\/(-70))\/(-4))\/(28\/35))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*u - o, -4*o + o = -9. Let p = 3.99 - 4. Let x = p - 2.99. What is the closest to u in 1\/4, -0.3, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13996752 (base 10) to base 2.\nAnswer: -110101011001001011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 3. Suppose 1 + 4 = a, a = -2*t - 1. Put h, t, 1 in decreasing order.\nAnswer: 1, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 55504056, 111008113, 166512170?\n\"Answer: 55504057*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2 - 533*d + 32770. Calculate o(-226).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.217570978357 + 0.007.\nAnswer: -0.210570978357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7.68 times -0.5\nAnswer: -3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/2*-14*(-5)\/(-20)*(-200)\/210.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 121?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -13. Let s(f) = f**2 - 7*f + 9. What is the units digit of s(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + sqrt(425))) + 5 + (sqrt(17) + 2*(-2 + sqrt(17) - sqrt(17)))**2.\nAnswer: -13*sqrt(17) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4*f - 5, -6*f - 5*y = -2*f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 - 41*z**2 + 14*z - 5. Give o(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - 1*(sqrt(143) + (-2*sqrt(143) - sqrt(143))))\/sqrt(11).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 11509.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3647156 is divided by 2970.\nAnswer: 2966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/7004261?\nAnswer: -3\/7004261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k = 0. Let l(p) = -p**2 + 4*p - 4*p + k*p. Let h(j) = 6*j**2 - j**2 - 4*j**2. What is l(h(z))?\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/8442410 and -25\/22364.\nAnswer: 16884820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i - 5*i + 4*i + (22 + 64 - 22)*(226*i - 90*i - 96*i).\nAnswer: 2559*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhmhhjhhhh. What is prob of picking 1 j and 1 m?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43926, -87855, -131782, -175707?\n\"Answer: r**2 - 43932*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + -0.3. Let v(i) = -i - 4. Let w = 3 - 6. Let l be v(w). Which is the biggest value? (a) f (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -n - 17*b + 250, -6*n + 1533 = b. Factor -84*p**2 + n - 160*p - 1\/2*p**4 - 23\/2*p**3.\nAnswer: -(p - 1)*(p + 8)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6)*-15*(1 - 2). Solve 3*n - 3*q - 5 + 8 = 0, 4*n - w = -5*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 15) in base 10?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 3. Suppose -k*j + 35 = -j. Suppose -50 = -5*r + q, r = -q + j + 9. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 163, -1\/38, -216, 4 in decreasing order.\nAnswer: 163, 4, -1\/38, -1\/5, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66)*-1*-2 + sqrt(66) + sqrt(66) + sqrt(66)*-1*-3)*4)\/(5*(sqrt(150) + sqrt(150)*-3 + sqrt(150))*-5))**2.\nAnswer: 8624\/15625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - -2) + 12 - -1) + (8 - 0).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 17*q + 14. Calculate y(16).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 0.4. Which is the second biggest value? (a) 2\/3 (b) o (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48051 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2317, 2433, 2625, 2893, 3237?\n\"Answer: 38*z**2 + 2*z + 2277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.603, 5\/13 in ascending order.\nAnswer: -4, -0.603, 5\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -2)*4\/(-18). Let j = -2\/13 + 4\/13. What is the biggest value in 0.3, j, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f - 96 = 0. Let j be (-3)\/12*2*f. Let c = -5 + j. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gybttta. What is prob of sequence gyb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0627807 to 4 decimal places.\nAnswer: 0.0628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, 1 c, and 1 g when four letters picked without replacement from {n: 8, g: 1, q: 5, c: 5}?\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -20. Find the second derivative of 3*q - t*q - q - 13*q**2 - 5*q wrt q.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzzd when four letters picked without replacement from beztdzbubdzz?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 1f8f?\nAnswer: -1f8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 3 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 23 + 4 - 27.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 191 - 190. What is the nearest to -1\/2 in 2, a, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*p - 0*p, -2*p + 4 = 3*v. Let q = 4 + -4. Suppose -24 = -q*x - v*x. Solve o + o = 3*a - 3, 2*o + 2*a - x = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3686 + 3686.4. What is the smallest value in b, -0.1, -0.0809?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 + 8*t + 1. Let h(z) = 7*z**2 + 16*z + 2. Let n(w) = -2*h(w) + 5*l(w). Suppose -44 = 2*o + 2*o. Is n(o) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4864140 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1669454\/91 + -18346. Let n be 279\/91 + (3 - 6). Let a = n + h. What is the third smallest value in -0.3, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9982 rounded to two dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 - 4.9. Let n = 707 - 708. Let f = 1\/148 - -291\/740. Which is the nearest to 0? (a) n (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/81 and -25\/27.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**3 + 2*p**2 + 9*p + 15. Let z be h(-2). Let s = 498 + z. Round s to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.6 - 7.7. Let g = q - 0.9. Let k(w) = -w**3 - 2*w**2. Let m be k(-2). Which is the nearest to m? (a) 4 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-11 - 24\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 + 31*o.\nAnswer: -o*(o - 93)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -433 + 307. Let l be (27\/s)\/((-3)\/6). Which is the smallest value? (a) -1\/9 (b) l (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 9 + 3 = -2*s, 3*c = -4*s + 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 u when four letters picked without replacement from uiuiuuuiuuu.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18847 + 24*g + 37700 - 142*g**2 - 18851 to x + n*g + h*g**2 and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 17*d**2 + 18*d - 2. Let s be x(18). Suppose -t = -2*h - 18, -3*h - 13 = 4*t - 52. Sort t, s, 1.\nAnswer: s, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42835 is divided by 8350.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-37 + (63 - 38)) - (-17 - 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -11*k**5\/15 + 45*k**4\/8 + 9*k**2 + 2. What is the second derivative of x(n) wrt n?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10069170 divided by 46\nAnswer: -218895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 13\/550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*n - 11*n**2 - 31*n**2 + 32*n in the form t*n + i*n**2 + w and give i.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39992726 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 228968 and 0.0369763?\nAnswer: 228967.9630237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-510)\/(-60)*48\/1020.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -96543*p + 103696 wrt p.\nAnswer: -96543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsss when four letters picked without replacement from {s: 3, d: 9, q: 7}.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**5\/5 - 5*c**4\/3 - 16*c**3\/3 - 8*c**2 + 33*c. Factor u(s).\nAnswer: -4*(s + 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(198))\/(sqrt(2) + (sqrt(2) - sqrt(128) - sqrt(2)) - -2*2*sqrt(2)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1144*g + 26194 - 39287 - 30379 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**(-24))**17 assuming s is positive.\nAnswer: s**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7438 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -11. Let n(o) be the third derivative of -o**6\/120 + o**5\/15 + 5*o**4\/24 + 2*o**3\/3 + 67*o**2. What is n(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 52. Is -2\/35 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -1, 8, 794?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 591.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(64\/(-30))\/8.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55692451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/9 (b) 5 (c) 1\/8 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8*w = 56. Let r = 13 + -7. Suppose 16 = -r*b + 4*b. Do b and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 0 - (-471)\/((-22137)\/(-1598)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**17)**34*t**(-25)\/t*t**(-31) assuming t is positive.\nAnswer: t**521","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5 = 0, y - 5*l + 6*l + 3 = 0. Which is the second biggest value? (a) y (b) -1\/4 (c) -2\/7 (d) -1\/3 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 980 = 978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19105 rounded to the nearest one hundred?\nAnswer: 19100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -16*r - 3. Let h be b(-2). Let a = 53 - h. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 24*k + 46. Let f be u(-2). Find the third derivative of -1525*p**4 + 3*p**f + 30*p**2 + 1571*p**4 wrt p.\nAnswer: 1104*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23591 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2\/11, -6\/11, 3, -3, -0.096967, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 11:30 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1854, 1847, 1840, 1833, 1826?\nAnswer: 1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72022 (base 8) in base 13?\nAnswer: 106a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34337*p**3*v**3 - 193*p*v**2 - 7*p - 2*v**3 - 2*v wrt p.\nAnswer: -206022*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90900 and 2025?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/12)\/((-7)\/(56\/3))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 3:55 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 933*n**3 + 70*n + 8 wrt n?\nAnswer: 5598*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/5 + 226*l**2\/5 - 6912*l\/5 + 5832 = 0.\nAnswer: 5, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14308 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + -3*((4 + sqrt(252) + (1*sqrt(252) - sqrt(252)))*-5)**2 + -2.\nAnswer: -20102 - 3600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.7 + -35.7. Which is the closest to 0.1? (a) i (b) 13 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.419 rounded to 1 dp?\nAnswer: 16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 + 8*o + 1. Let u(v) = 6*v**2 + 9*v + 2. Let r(w) = 5*c(w) - 4*u(w). Let f be r(-6). What is the greatest common factor of f and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 78. Let f(w) be the third derivative of w**3 + 5*w**2. Let a(k) = 78*f(k) + 6*m(k). Let y(s) = -4*s. Determine y(a(t)).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 112 + 3*u - 110 + 0*u + 2*u**2 as f*u**2 + k*u + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -2332?\nAnswer: -2402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5 - 144*w**4 - 1258*w**3 - 1116*w**2 = 0 for w.\nAnswer: -62, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20, 38, 56, 74, 92, 110?\n\"Answer: 18*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -6506?\nAnswer: -7\/6506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/689 or 1?\nAnswer: 17\/689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34639080 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 879937 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 589266169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613489 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102980557205.00002478 + 102980555356. Let c = y + 1849. Round c to 6 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*i**2*w + 5*f*i**2 + 5*f*i*w**3 - 6756*f*i + 883758*i**2*w**3 + 110*i*w wrt i?\nAnswer: -2*f*w + 10*f + 1767516*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - n - 125 = -3*n, n + 347 = 3*y. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*h. Let p be h*((-2)\/8)\/((-1)\/2). Let o(j) = -j - 17. Give o(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 4*u**2 + 7*u + 14. Let y(l) = 12*l - 5. Let r be y(0). Let i be j(r). Solve -i*o = -8 - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135213, 135212, 135211, 135210, 135209?\nAnswer: 135208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*b + 53. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/((w*w\/w**(-1\/15)*w)\/w))\/w*w*w*w\/(w**(-5)\/w)*w assuming w is positive.\nAnswer: w**(149\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 4. Suppose 4*s - 30 = -0*o - o, 63 = 3*o + 3*s. Let k be (-9)\/o*0\/2. Sort 2, k, h in decreasing order.\nAnswer: 2, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -8\/5*l**2 + 6\/5*l**4 + 0 + 0*l - 2\/5*l**5 + 0*l**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -86, -87, -88, -89?\n\"Answer: -g - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/25*((-175)\/(-7))\/1.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/58298259?\nAnswer: -2\/58298259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - c + 2 = 5*b, -2*b + 4*c - 8 = 0. Suppose 14 = 62*o - 69*o. Sort o, b, -3.\nAnswer: -3, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 + (7 + -10 - (-6 - (0 - 18))).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 480231.8l to millilitres.\nAnswer: 480231800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -276 + 983. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2280\/65 + -35)*(-91)\/(-42)*-3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**3\/2 + 7*r**2\/2 - 3*r. List the prime factors of o(5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbzbmzbnbbmznzzbzmb. What is prob of sequence bm?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 16 = 2*o. Let s be (-18)\/(-24) + o\/8. Let q = 2 + 0. Solve s = -q*j - 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9090 - 6203. Calculate the remainder when h is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 18*u + 30. Let c be (-2 + 6\/(-3))*(-7)\/2. Give v(c).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1 + 2 - 4. Let f be ((3\/10)\/(24\/(-100)))\/((-1600)\/2560). Let w(h) = h + 3. What is f*w(n) + 4*j(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trtturotrrturtrtrr. What is prob of picking 1 o, 1 u, 1 r, and 1 t?\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24474, -98254, -221220, -393372, -614710?\n\"Answer: -24593*l**2 - l + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**0)**(2\/21))**28\/((l**1)**(2\/15)\/(l\/((l*l*l*l**5*l*l)\/l*l*l)*(l\/(l*(l*l**2)\/l)*l)\/l)) assuming l is positive.\nAnswer: l**(-142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7553239388 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 209*a + 0*a**4 + 152\/5*a**5 - 1\/3*a**3 - 153 + 0*a**2. Differentiate w(s) with respect to s.\nAnswer: 608*s**3 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 311640 and 40.\nAnswer: 311640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 2 + 24*x - 6*x. Suppose 0 = 11*k - 3*k - 8. What are the prime factors of q(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(8\/3)*g**3 assuming g is positive.\nAnswer: g**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 2)*3 - (-2 + sqrt(48)) - (sqrt(432) + 0 + -4 + sqrt(432) + -5 + sqrt(432) + (sqrt(432) - (-1 + sqrt(432))))**2)*-3.\nAnswer: -1725*sqrt(3) + 11832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 5:51 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 256148*s - 256146.\nAnswer: -2*(s + 1)*(s + 128073)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -63 - -30d5?\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1911579 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13584706 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 730*b*w**3 - 71120713*b - 2*w**3 - 30058*w - 2 wrt w.\nAnswer: 2190*b*w**2 - 6*w**2 - 30058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/9 - 5974*w**2\/9 - 4428046*w\/9 + 49434022\/9.\nAnswer: -2*(w - 11)*(w + 1499)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129685366*q**4 + 10978249*q.\nAnswer: -1556224392*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 divided by 2142?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -38720 and -0.4.\nAnswer: -38720.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.741 + -7.241. Which is the closest to -0.1? (a) n (b) 8 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 105*n**2 - 8*n + 1. Let m be q(-2). Suppose 15*j - 12*j - o - 1308 = 0, -3*j + 2*o = -1305. Is j greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)\/g*g*g**(-3))\/((g**1*g)\/g)**3 assuming g is positive.\nAnswer: g**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, -6, -0.05154832?\nAnswer: -0.05154832","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 540 + -539. Find t such that -29*t**3 - 21*t + j + 2*t - 9 - t**5 - 43*t**2 - 9*t**4 - 11*t + 0*t = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1666838*k**2 + 1877104*k.\nAnswer: 3333676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*q**2 + 217*q**2 - 427*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 (base 10) in base 14?\nAnswer: 20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 4656?\nAnswer: 51216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 3*s**2 + 5*s + 3. Let x be q(-3). Is 212\/(-5)*30\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1)*(-5*d**3 - 2*d**3 + 6*d**3)*(-3*d**2 + 0*d**2 + 4*d**2).\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19 - -17)*9\/(-12). What is the biggest value in n, 5, 12\/13, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41749168?\nAnswer: 2, 223, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m - 72 + 28*m + 72.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-8)*(-66 - -18). Let t be k\/(-231) + -3*6\/63. Factor t*v**2 - 6\/11*v + 4\/11.\nAnswer: 2*(v - 2)*(v - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 2\/11?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3173 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000 a factor of 4938000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*r**2*s**2 + 12*r**2*s + 6*r**2 - 2448*r*s**2 - r*s + 4*s**2 - 21 wrt s?\nAnswer: -8*r**2 - 4896*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 21 + 4 + (4 + 9 - 12)*(-1 + 1 + 2))*(x - x**4 - x + (-3 + 3 + 2*x**3)*(1 + x - 1)) in the form z*x**4 + n*x**2 + k*x**3 + t*x + m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 0*u**2 + u**2 - 3*u)*(565*u + 5*u + 300*u) in the form q*u**3 + b*u + t + n*u**2 and give n.\nAnswer: -2610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 12:33 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 = -4*k, 2*p = -5*k + 11 + 1. Let g(v) = v**2 + 2*v + 2. Let h be g(-2). Factor z**2 - p - z**h - z**2 - 2*z.\nAnswer: -(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207 + -367. Let s = 716 + t. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2393\/19320 + -7\/345. What is the common denominator of i and -109\/700?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1316, -1397, -1478, -1559, -1640, -1721?\nAnswer: -1802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25505230 (base 6) to base 8.\nAnswer: -3133262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 + -0.9605.\nAnswer: -1.0205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c + 27 = 0. Suppose -3 = -2*w + 7. Suppose w*v = f + 17, 2*v - 3*f - c = v. Solve 0 = -3*t - 15, v = 5*i - t - 27 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*b + 6 = -b, 4*x + 2*b = -12. Let p be x\/4 + (-7)\/28. What is the smallest value in 5, p, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 8. Let p = 0 + u. What is the remainder when 5 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6789*c + 52. Is z(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (512 - 200 + 459)*(-2 + 4*v**3 - 3*v**3 - 1) in the form k + q*v**2 + l*v**3 + d*v and give l.\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -5. Let s(l) = l**3 - 10*l**2 - 40*l + 33. Let z be s(13). Let g be 2\/(-8) + 145\/z. What is the second biggest value in g, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 <= 728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 2*g + 18*g**2 + 3*g as n*g**2 + b + j*g and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3326016*b**3*l**2 - 345980*b**3 - b**2*l**2 + 6*b*l**2 + 7*b*l - 12*l wrt l.\nAnswer: 6652032*b**3 - 2*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnnj when four letters picked without replacement from rjfooljrnjlnlfnj?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 13*g - 49*g = 1232 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95 + -853\/9. Is 12 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -25386 and -56 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 982*s + 79*s + 2*s**2 - 213*s to v*s + g + d*s**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 108.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c - 96*c**2 + 2*c + 24*c**2 to the form u*c + h*c**2 + b and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1717 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -90169863 divided by 2247\nAnswer: -40129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/303 - 196\/909. Which is the closest to 0? (a) j (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 25\/19, -5, 3194, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d29017 (base 14) in base 2?\nAnswer: 11011000011110000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 3\/20, 1.4?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60732 divided by -14.\nAnswer: -4338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwfwwf. Give prob of picking 2 w.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yuuyyuuyyyuyuyyyyyy?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o - 484 = 0. Let v = -8 + o. Calculate the remainder when v is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 = 0, 20*y - 23*y + d - 301049999 = 0. What is y rounded to the nearest one million?\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Suppose -o*q = -17 - 15. Suppose 6*l - 8*l + c = -8, 2*c = -4*l + 16. 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: What is -12185000 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 + -3575958.\nAnswer: -3575958.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1.1. Let u = 1 + -5. Let j = 1 + -1. What is the third biggest value in j, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 7. Let s be (1*(-1)\/(-5))\/(-28 + 27). Which is the nearest to 0.6? (a) -3 (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(2 - (-2 + 2)). Let l = n + -4. What are the prime factors of (-10)\/(-1) - l - -2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -105, -156, -209, -264, -321, -380?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -22\/7, -2\/11, -1061?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m - 5*k - 9 = 0, 29 = -m - 5*k. What is the second smallest value in m, 5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4\/11 - 80*l**3\/11 + 750*l**2\/11 + 2000*l\/11 - 20000\/11 = 0. Calculate l.\nAnswer: -5, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/344 and 83\/16.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 2. Let b(d) = -1. Let q(s) = 1. Let n(u) = -5*b(u) - 6*q(u). Suppose 3 + 0 = i. Determine i*n(j) + o(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/421 or 9?\nAnswer: -10\/421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -516540 - -234188. Let f = -282512.871 - m. Let t = f - -161. Round t to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**4 + 0*y**4 + 2 - 2*y + 5*y to the form p*y**2 + g + t*y**3 + i*y**4 + a*y and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (1 + -11 + 18 - (2 + (7 - 7)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51.3 + 52.3. Are f and 35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6434769 and 12869538?\nAnswer: 12869538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 3*i - 0*i - 8, 2*k - 10 = -4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 11*t**2 - t + 5. Let v be k(11). Let i be (-16)\/v*108\/16. What is the highest common divisor of 126 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28\/11, 0, -1\/42?\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + 28. Calculate the highest common divisor of 102 and t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -653 - -378. Let l = x + 279. Solve 0 = l*t + v + 5 - 13, 2*v - 8 = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - -87?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(119)*2 + sqrt(119)*-2*4)\/(3*(sqrt(7) + (-1*sqrt(700) + sqrt(700) - sqrt(700)))).\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13680)\/456 + 206\/6)*(-13 + 1).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -4*s**2 + s + s**2 - 2 - 6*s - 3. List the prime factors of z(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157657175 by -5.\nAnswer: 31531435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*((sqrt(11) - sqrt(132)\/sqrt(300)) + sqrt(33)\/sqrt(27)))**2*4.\nAnswer: 12816\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 5\/6, 185, 0.2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/3611439 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/15))**(-43))**(-50) assuming n is positive.\nAnswer: n**(860\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*z - 34452 + 26743 = -93761. Put 0, z, 1, 5 in increasing order.\nAnswer: z, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2390, -8985, -19794, -34823, -54078?\n\"Answer: -j**3 - 2101*j**2 - 285*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c + 2*c**3)*(-125*c - 59 - 2*c**2 - 106*c + 221*c).\nAnswer: -4*c**5 - 20*c**4 - 118*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/1107305 and 8\/135?\nAnswer: 29897235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0487, 2\/25, 0, -0.09, 0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 82 divided by -4373\nAnswer: -82\/4373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -591365 to the nearest 1000.\nAnswer: -591000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -26692\nAnswer: -1\/6673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/28 - -3 - (-673 - -687)*(-258)\/(-49)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1214, 4823, 10862, 19331, 30230?\n\"Answer: 1215*y**2 - 36*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11491*u - 1470885. Calculate h(128).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 2, e: 2, f: 1, w: 4, d: 2}. What is prob of picking 1 e and 1 o?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1192374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435104135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -109a6?\nAnswer: 109a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5463523 (base 7) to base 5\nAnswer: 132434140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z + 20*z = 3323 + 1381. Solve -24*k + 10*k = z for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*c + 2 = 174*c - 2*g, -4*c = 3*g + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:57 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*i + 733 - 5071 = -55*i + 1836 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -43. Let f be 2\/(-42) + (-1)\/(-3). Is d at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 10*i + 5. Let w be u(11). Solve w = -3*a - a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 38. Let b = 30 - 17. Let d = b + -8. Calculate the greatest common divisor of s and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5*n + 8, -12*n = -3*i - 0*n - 30 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**2. Let r(n) = -82*n + 88 + 76 - 164. What is r(b(s))?\nAnswer: 410*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 1. Let n(d) = 42*d**2 + 4*d + 11. Let j be ((-4)\/(-8))\/((-6)\/12). Let i(s) = j*f(s) + n(s). Is i(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/10 - (8\/(-10))\/4. Suppose -f + 0*f + 1 = r. Let k be 11\/2 + ((-4)\/(-8) - f). Solve -4*l + 0*o - 32 = k*o, 2*l = 5*o + 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -270*t + 48. What are the prime factors of g(-2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(5*g + 13*g - 3*g)*(-g**2 + g**2 + g**3) + (-g + 2 - 2)*(1 + 2*g**3 - 1) + 0*g + 0*g - 2*g**4.\nAnswer: 26*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3138160.183 rounded to the nearest one thousand?\nAnswer: -3138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01 - -0.09. Let c = -0.3 + 0.2. Let o = c + a. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145648 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*r + 231 - 171 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (565 + -572 - (1 - -69))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28032 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7 - (-54)\/(-7). Let b be 2 - 5\/2*64\/80. Let o = b - r. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 81*i**2\/2 - 126*i + 98 = 0.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + sqrt(1088) + 2 + 3*(sqrt(1088) + sqrt(1088) + 2) + -6*(0 + sqrt(1088) + sqrt(1088) + 4*1*sqrt(1088)))**2.\nAnswer: -5104*sqrt(17) + 915129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4340.05803ns?\nAnswer: 0.000000000007176021875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196673 = 2292*k + 40817 for k.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7500 in 5, -4, -0.04?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -7*f + 5*f. Let y = f + 11. Suppose -h - 4*x = -4*h + 14, y = 4*h - 2*x. Solve 5*s + 17 = -3*n, 5*s - 3*s = h*n - 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 593329, 1186677, 1780023, 2373367, 2966709?\nAnswer: 3560049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 2*v + 4. Let y be l(-2). Suppose 5*n = y*b + 509, -2*n + b + 2*b = -198. Is 29 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6453?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.46 - -2.36. Which is the second smallest value? (a) g (b) 13\/2 (c) -0.5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2826*a - 5660. Calculate v(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/8)*g**(-6)\/g)\/(g*g*g**(-5)*g**1))**(-2\/3) assuming g is positive.\nAnswer: g**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvxvhlvvxevh. Give prob of picking 1 e and 1 h.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -9.092, 0.3.\nAnswer: -9.092, 0.3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -8. Let s(h) = h**3 + 7*h**2 + 6*h + 9. Let c be s(b). Calculate the highest common divisor of c and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 25*o**2 + 151*o - 31. Determine k(-12).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3411871205.922 take away -5?\nAnswer: -3411871200.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 883369584 and 4104?\nAnswer: 883369584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 1. Let w be x(5). What is the units digit of w\/27 - (-17872)\/72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -8)*(-750)\/(-19250).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-44)\/(-24) - 4\/(-24). Suppose -3*r = i*p + 224 - 1322, -2*r - 4*p = -740. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -33*i**2 - 6*i + 7. Let j(w) = -17*w**2 - 3*w + 4. Let x(u) = -5*j(u) + 3*l(u). Let g be x(1). Do -0.1 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35399160 to the power of 1\/2, to the nearest integer?\nAnswer: 5950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.08 and -1.781.\nAnswer: -1.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 396947059.84 take away -2.036?\nAnswer: 396947061.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 153645.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, v: 6, a: 4}. What is prob of picking 1 a, 1 b, and 1 v?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572149495.\nAnswer: 5, 23, 4975213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 32 = 2*k, 7*k + 5*r - 22 + 2 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, g: 1, x: 2, l: 1, a: 1, f: 2}. Give prob of picking 1 b, 1 g, and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (5 + -2))*1. Let x(r) be the third derivative of 3*r**2 + v*r + 0 + 1\/48*r**4 + 0*r**3 + 1\/240*r**5. Let x(d) = 0. What is d?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -27*w + 57*w - 26*w. Let q(h) be the third derivative of -h**4\/24 + 2*h**2. Give y(q(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(272) + 1 + sqrt(272))**2*4 + -4 + ((sqrt(272) - -1*sqrt(272))*6 + -4*(sqrt(272) + sqrt(272) + -1*sqrt(272)) + -1)**2)*-6.\nAnswer: -131142 - 1536*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6266 (base 12) in base 5?\nAnswer: -320414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*4\/(-6)*(-42)\/28?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 456 - 453. Let -2\/5*n**2 + 0 + 1\/5*n + 2\/5*n**4 + 3\/5*n**5 - 4\/5*n**m = 0. Calculate n.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 665191?\nAnswer: 16\/665191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16710700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.2573 to two dps.\nAnswer: 15.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 2. Let u be k(2). Suppose 2*n = -n - u. What is the remainder when 33 is divided by (-8 - -5) + 14 + n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**15)**(-1\/4)*v**6\/v*v**(-9) assuming v is positive.\nAnswer: v**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 159*a**3*h + 2853136*a**3*r**3 + 4854*a*h*r**3 wrt h?\nAnswer: 159*a**3 + 4854*a*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(0*u**5 - 3*u**5 + u**5) - 3*u**5 - 3*u**5 + 2*u**5.\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*a**2 - 33*a**2 - 38*a**2 + (-3 + 3 - 2)*(-4*a + 4*a + a**2) - 2*a**2 + a - a + a**2 - 3*a**2 + 4*a**2 - 770*a + 770*a - 66*a**2.\nAnswer: -167*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 53?\nAnswer: 6201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(164\/2214).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -390.5 times 0.2\nAnswer: -78.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -606 + 4315. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54416?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 4*z - 7. Determine l(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**3 + x**2 + 1. Let b(f) = -f**3 - 54*f**2 - 193*f + 346. Let c be b(-50). Let p(a) = 14*a**3 - 4*a**2 - 3. Calculate c*p(m) - 14*y(m).\nAnswer: 14*m**3 + 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:43 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 + 3*y - 2. Let h be j(2). Suppose -2*d + 40 = 4*s, 3*s - 4*d - 35 = 6. Let a = h + s. Solve 0*p - 9 = -a*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35270 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2648 - 3889. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 353*z**3 - 351*z**2 + z + 13615284?\nAnswer: 1059*z**2 - 702*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - o**2. Let r(f) be the first derivative of 13*f**4\/4 + 5*f**3\/3 + f**2 + 351. What is -4*l(u) - r(u)?\nAnswer: -9*u**3 - u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18099 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/3))\/x**(-6\/5))**(-10) assuming x is positive.\nAnswer: x**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 5, 4\/9, 1.94, -437?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 5*l - 5. What is the units digit of r(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u - 17. Let z be b(5). Let y(t) = t**2 - 7*t + 4. Let a be y(6). Let j be 0 - (-1 - z) - a. Solve q - k + 2 = -j*k, -4*k - 2 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k - 2. Suppose 2*j = -2*j + 8. Suppose -3*g - 2*g = -20, u - 10 = g. Suppose -2*r + u = -3*d, -r = -d - j*r + 2. What is m(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlqfnrqw. Give prob of picking 1 q and 2 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a factor of 2842419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/12 + (-13)\/6. Let u(j) = -j**4 + j**3 - 4*j**2 - 6*j - 5. Let k(l) = l**2 + l + 1. Let d(w) = y*u(w) - 10*k(w). Factor d(q).\nAnswer: 2*q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y**2 + 84*y**2 - 27*y**2 + 37*y**2.\nAnswer: 119*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001346 to five decimal places.\nAnswer: -0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**3 + 18*w**2 + 6. Let y(i) = 4*i**3 - 16*i**2 + i - 6. Let j(c) = 2*q(c) + 3*y(c). Calculate j(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 20*k**2 - 17*k - 37. Let a be v(19). What is the tens digit of (-48 + a + 2)*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 18564?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1136 - 937. Calculate the remainder when y is divided by 185.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.021 - -2.221. Let l = -2.3 + j. What is the nearest to l in 5, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*y - 25*y - 6*y)*((3 + 3 - 2)*(4*y - 35 + 35) - 4*y + 4*y - 2*y + (-1 - 6 + 5)*(-2*y + 2*y - y) + 2*y + 1 - 1).\nAnswer: 306*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c + 1464. Let m be i(-44). What is the greatest common factor of 96 and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64290, -257111, -578480, -1028397, -1606862, -2313875, -3149436?\nAnswer: -4113545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((6*3\/(-81))\/(24\/((-90)\/15))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 25*p - 2000 = 5020. What is the least common multiple of 520 and p?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4*((sqrt(77) - 3*sqrt(77)) + sqrt(77) - sqrt(77)) - (-4*(sqrt(77)*-1 + sqrt(77)) + sqrt(77) - sqrt(77)))\/(3*(3*sqrt(66)*2)\/sqrt(6)))**2.\nAnswer: 112\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 18\/(-21))\/((-4)\/28). Let h be p\/((16\/(-12) - -2)*-3). Suppose 4*g - 6 = c - h, 0 = 5*g - 10. Solve -w = 2*l - 5*w + 4, -c*l = -w - 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6105 and 12210?\nAnswer: 12210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 37824.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 48*y**2 - 319*y - 108. Give b(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/6)\/(15\/(-40)) + 19. Is ((-56)\/20 - -3) + 1992\/h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 1)*(5 + 42\/(-8)). Suppose 4*h + 8 = -8*j, 0*j + 1 = -h - j. Let k = -14 + 10. What is the closest to 1 in k, h, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 35, -5*f + 3*h = -0*h - 26 + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/7 + 1608888*j**2\/7 + 647133366900*j\/7 + 2588507725456\/7.\nAnswer: (j + 4)*(j + 804442)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 2 - (-44 - -49)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-6\/29)*p)*p**(2\/11)*p)\/(p\/p**5*p)**(3\/10))**(5\/14) assuming p is positive.\nAnswer: p**(1043\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.5 + -5. Let u = 0.008 + 0.022. What is the closest to -1 in -3\/7, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 6 + 14 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 10. Let k be q(-7). What is the third biggest value in 8, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122912853 by -5.\nAnswer: 122912853\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1, 0.2, 14\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2640)\/(-12))\/22)\/((5\/10)\/1*-6).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - -54. Suppose 0*y + 4*y = 12, y = 2*o - v. Calculate the remainder when 107 is divided by o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/35)\/(84\/36)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58871 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**7\/1260 - z**6\/180 + 19*z**5\/30 + 22*z**2. Let j(h) be the third derivative of l(h). Give j(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 8. Let b(a) = -2 - d + 3 + 56*a. Is 9 a factor of b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 19, -8, -1, 7 in increasing order.\nAnswer: -8, -1, 4, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 4*s**2 - 4*s + 3. Let g be p(3). Suppose -19 = 3*h - 4*c, h - 4*c = c - 21. Let q = g - h. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 8. Let v be i(8). Let c(s) = -6 + v + s - 2*s - s. Let r = -14 + 10. Calculate c(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 363 - 360. Suppose 4*n - d*f - 4044 = 0, 2*n + 12*f - 10*f - 2008 = 0. Calculate the greatest common factor of 63 and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccy when three letters picked without replacement from lcpcyiy?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -417*t - 1785. What is the tens digit of j(-29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15871 and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98027*u**3 + 24*u**2 + 71580068*u - 2 wrt u.\nAnswer: -588162*u + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30928 divided by 16.\nAnswer: -1933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**3\/2 + 5*p**2\/2 + 51*p + 1. Suppose 8 = 2*t - 5*c, -5*t + 0*t - 5*c + 20 = 0. Calculate y(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 4*p**2 - 8*p + 10. Let f be q(5). Let k(r) = -r**3 + 4*r**3 - 4*r**3 + 1. Let b(c) = -6*c**3 + 5. Calculate f*k(a) + b(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6567047 divided by 6567047?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1477*t**2 - 19*t + 3. Let f be w(-6). Let a = f + 2228183\/42. What is the common denominator of 29\/18 and a?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/5))**27\/(s**(-11)*s*s**(-9\/4)))**40 assuming s is positive.\nAnswer: s**1138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*h - 19*h - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17752 - 17744. Let v be -4*((-21)\/6 + 3). Solve -k*p + v*p + 18 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**4\/6 + z**3\/3 + 185*z**2. Calculate p(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 20, u - 64 = -4*q + 2*q. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hphhphxhfhhhfxhhhhff. Give prob of sequence phx.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 26, 52, 98, 170, 274, 416?\n\"Answer: k**3 + k**2 + 2*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -11*a**2\/2 + 6*a - 2. Let y(t) = t - 1. Suppose 5*w - 6 = -1. Give w*o(g) + 6*y(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, d: 11}. What is prob of picking 4 e?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5385.\nAnswer: 3, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 greater than or equal to -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 4*t + 52, -1295*f + 647*f - 2 = -653*f + 2*t - 0*t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3481 rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + j + 35 = 0, 5*j - 51 = -4*w + 14. Suppose -8 + 28 = -w*i. Let k(d) = 7*d**2 + 2*d - 2. Give k(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/65, -2.8, -1\/4.\nAnswer: -2.8, -1\/4, -1\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z - 23. Let u be p(-5). Suppose -u*b - 2*v = -10384, -b + 2569 = 5*v - 2611. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a*z - 1565908*a + 20104716*z wrt a.\nAnswer: -3*z - 1565908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 10:23 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 14 = -2*b - l, 0 = -2*b + 4*l - 10. Suppose -2*q - 31 = -a - 5, 3*a - b*q = 78. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ygdyyybdygdhgbdhg?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/21))**(35\/3) assuming x is positive.\nAnswer: x**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 3 - 6)*(0*h - 2*h + h) + (2 + 3 - 6)*(2*h + 0*h + 0*h) - 3*h + 5*h + h as a + l*h and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 27*g + 92. Suppose -226 - 1269 = -49*m - 25. Calculate r(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96356204 a multiple of 413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15942564 divided by 2853?\nAnswer: 5588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 15*u**2 - 25*u + 1. What is i(-13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/11)\/f)**(-15\/7))**(-3\/13) assuming f is positive.\nAnswer: f**(-45\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 + 2*i**4 + i**5 - 4*i**5 + 3*i**5 + 0*i**5 + (0*i**3 + 2*i**3 + 0*i**3)*(i**2 - 3*i**2 + 0*i**2).\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3 + 3 + 2*g + 2*g**3 + 5. Let z(u) = -u - 1. Let v = 23 - 24. Let j(d) = v*b(d) - 2*z(d). Differentiate j(l) wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 17*x - 11 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:56 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -1 - (-8 - -11 - 12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -13*k**2. Let l(v) = -6*v**2. Let n be (0 - 9\/(-2))\/((-21)\/28). Let m(a) = a**3 + 5*a**2 - 12*a - 34. Let u be m(n). Calculate u*p(z) - 5*l(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/4 and 99\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*j - 18 = y + 53*j, 0 = 3*y + 4*j + 35 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515367?\nAnswer: 7, 216481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-20)*1800\/240.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2 + 5. Let p be 6\/8*(r + (-9)\/(-21)). Let x be (-3)\/9 + 80\/(-12). Sort x, 0, p in descending order.\nAnswer: 0, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13321083.0000224 + -13321105. Let g = l - -22. Round g to six dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 + m**3 - 2*m**2 + m + m. Let d(t) = -t**2 - t + 2. Let i = -4 - -4. Let x be d(i). Determine w(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a + 4. Does 14 divide l(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20089793 to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -233.95 + 234. What is the nearest to -1 in 4, g, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 4, -2*o + 0*g = -3*g - 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383481 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -534?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v = 2, 0 = -2*n + 5*v + 15. Let k = 9 - n. Let y(x) = x**2 + 6*x - 3. Let w be y(-6). What is the third smallest value in k, w, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -61*o**2\/2 + 7*o - 7. Is y(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102807 to the power of 1\/2, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -13 + 40. Let d = 8 + o. Sort -3, d, 2 in descending order.\nAnswer: 2, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 5*f - 41 = 0, -6*q = -9*q - 2*f + 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 8 + 5 = -6*a, 2*j + 5*a = -59 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -850352*p - 6 + 7 - 1 - 128720*p.\nAnswer: -979072*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 213203 (base 4) in base 14?\nAnswer: ccb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (104\/(-40) + 7)\/(3\/(-90)). Let m be (-265)\/(-4) - 99\/v. Solve -15 = -m*q + 72*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170497*i + 20350 = -170312*i for i.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/329)\/(-2)*144*(-1869)\/(-76896)?\nAnswer: 5\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -126*t - 258. Let f be s(38). Let c = f + 368346\/73. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -3\/7 (c) 0.3 (d) -0.075 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 4293053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(200\/(-300)*15\/50).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -38, 4, -5 in increasing order.\nAnswer: -38, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) + sqrt(8))*3*-2 - (-4 + (sqrt(2) + 1 - sqrt(2)) + 3)) + (sqrt(1024) - (sqrt(1024) - sqrt(1024)*4))\/(sqrt(800)*-3))**2.\nAnswer: 163592\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 891783 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 22 = 8. Let n = a + 17. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3\/4, 0.7, 4, 10?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5384537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -14 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 11) in base 14?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 11) to base 4\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/7 or -6604?\nAnswer: -6604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 + 0.01928. Round v to 4 dps.\nAnswer: 0.0293","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.08 from -262254.\nAnswer: -262254.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.258 + -0.142. What is the third smallest value in -4\/5, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**3 + 252*s**2 - 838215*s + 12506400 = 0?\nAnswer: -579, 15, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 50, 37, 8, -43, -122?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 144759511, 289519023, 434278537, 579038053, 723797571, 868557091, 1013316613?\n\"Answer: z**2 + 144759509*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**14\/i)\/i**(-4\/7)*(i**13\/i*i*i)\/((i*i**2*i)\/i) assuming i is positive.\nAnswer: i**(172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + a - 1. Let b(f) = -8*f**2 + 7*f + 2. Let d(g) = -b(g) - 2*k(g). What is the second derivative of d(i) wrt i?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f - 10 = 0. Suppose 0 = -f*j - 4*y - 6 + 4, 5*y - 6 = -2*j. List the prime factors of 1*-66*1\/j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4300835.\nAnswer: 5, 7, 11, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2*l**3 - 888669*b**2*l - 616*b**2 + 16*b + 4 wrt l?\nAnswer: 3*b**2*l**2 - 888669*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35.67*-0.02273.\nAnswer: -0.8107791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21797935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -1 - 24) + (17 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 - (-5 + 6 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = -5*a. Let n be 3 + -4 - (a - 0). Suppose 4*l = -n*l. What is the third biggest value in l, -2, -4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/8)\/(12625\/(-1232200))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 370 and 111?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1372 + 532 = 40*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 2*n**2 + n**2 - 7 - n**4 - 4*n**3 + 5*n**2. Let l(z) = 0. Calculate z.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17364, -30145, -42926, -55707?\nAnswer: -68488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 12*c**2 + 11*c - 17. Let w be j(-13). Let u be (-3)\/12*12\/w. Do u and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -120, -192, -278, -384, -516, -680?\n\"Answer: -t**3 - t**2 - 62*t - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356, -3425, -11748, -27953, -54668, -94521?\nAnswer: -150140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*-88*25\/100?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f + 34. Let m(t) = 17*t + 68. Give -11*c(w) + 6*m(w).\nAnswer: 3*w + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i + 2. Let q(c) = 2*c**2 - 23*c + 10. Determine 6*o(b) + q(b).\nAnswer: 2*b**2 + b + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 21*m + 28. Let r be f(10). Let c = 237 - 142. Calculate the highest common divisor of c and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 - 5*q + 26. Let a(b) = -b - 4. Let l(d) = 5*a(d) + o(d). Calculate l(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 23, 60, 123, 218, 351, 528?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9104*x + 100041 + 894287 = -1106*x + 157108 for x.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6816 by 42.\nAnswer: -1136\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 0*t - 3*t)*(113*t + 69*t - 123*t) in the form z + c*t + j*t**2 and give j.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 141\/5 (b) -2 (c) 1 (d) 0.2 (e) 19\/863\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10505, 10505, 10513, 10535, 10577?\n\"Answer: b**3 - 2*b**2 - b + 10507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 + (-26)\/(-8). Suppose -3*i + w*y = 4*y - 69, i - 23 = -4*y. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340044 divided by 170022\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 123.955\nAnswer: -24.791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 - 64.84. Let m = y - -0.44. Is 1\/5 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a + 301?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175677472?\nAnswer: 2, 5489921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 11*y**2. Let i(c) = 71*c + 1. Determine b(i(o)).\nAnswer: 55451*o**2 + 1562*o + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.92 (b) -4 (c) -0.1 (d) -6\/35 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*a + 4 = 0, -f - 15*a = -12*a + 6. Let n = 4 + 0. Suppose f = h + 3*z - 54, 2 = -2*z - n. What is the highest common factor of h and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1572 + -9391\/6. Let q = -427391\/1615 + 5082\/19. Let m = -43\/34 - q. What is the common denominator of v and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.9 (b) -3\/8 (c) -2\/19 (d) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.03 and -1.3462 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((46\/(-4))\/23)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3 + -3 + sqrt(135)\/sqrt(3)*1)**2 + 5)*-1.\nAnswer: -91 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 77, 256, 551, 962, 1489, 2132, 2891?\n\"Answer: 58*a**2 + 5*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2428 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*z + 11 = 2*j, -4*j + 3*z + 27 = 0. Suppose -5*k + 3*a - 24985 = 0, -2*a = -j*k - 14192 - 798. Round k to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.122 - 0.406. Let m = -0.784 - f. Which is the closest to 0.1? (a) -0.15 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 8*p**2 + 6*p + 20. Suppose 5*m - 6*o = -3*o - 52, o = 4. What is r(m)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, x: 3, s: 3, d: 1, t: 1, i: 2}. Give prob of picking 1 d and 1 s.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0261389 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8104 or 8105?\nAnswer: 8105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l, 5*q - 5*l - 72 - 5088 = 0. What is the tens digit of q\/72*(10 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3978 - 3958. Let r = -0.063 - -36.063. Let f = c - r. Which is greater: f or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - -0.7. Let f = -1 - -5. Which is the closest to 0.1? (a) f (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1909252, 3818490, 5727728, 7636966, 9546204, 11455442?\nAnswer: 13364680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 34 = -5*i - q, i = -q + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1170 and 2250.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.347, -0.3, -3 in decreasing order.\nAnswer: 0.347, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 4:17 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7038013.4 to the nearest one thousand.\nAnswer: 7038000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - (-31 + -6))*-5. Let k be (-15)\/(-40) + 188\/h + 0. Which is the third biggest value? (a) 4 (b) 5 (c) -2\/17 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26685 + -26692. Which is the nearest to 1\/4? (a) h (b) -0.38 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q + 6. What is s(-10)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-13) + 258\/13. Suppose n*z + 6 = 22*z. Let o be 5309999\/z + (-4)\/(-12). Round o to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146735984 divided by -18341998.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {u: 1, c: 4, x: 3, m: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 7 + -20 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2033, 2035, 2037?\n\"Answer: 2*r + 2031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m = -6. Suppose 99 = 10*h + 29. Suppose h*t - 2*t = 75. Solve 22 + 13 = 5*s - 5*o, t = -m*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*i - 19 = 0, 3*i - 6*i + 15 = 4*m. Suppose -m*v = 8*b - 4*b - 52, 20 = 3*v - 4*b. What is the least common multiple of 10 and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 8:03 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86515 and 220155.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*p + 331*p = 1422 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -345 + 525. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -23. Let s be 0\/(5 + b - 8). Suppose s*p + 30 = 2*p. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + l + 23 = 0, -4*l + 68 - 16 = 4*u. Let t = u + 107. Let x = t + -30. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 4*b**2)*(-3 + 3 - 2) + 3066*b - 3066*b + 241*b**2 to x + g*b**2 + j*b and give g.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 10*r**2 - 12*r - 22. What is the units digit of q(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.8 + -3.8. What is the nearest to 0.4 in j, -2, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*h - 42 = 72*h. Let o be (2*1)\/((-2)\/2). Let s be o + 2\/1*1. Solve s = h*b - 3*b + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*u - 10 = -2*o - 162*u, 23*o + 5*u - 97 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1021, -1317, -2163, -3847, -6657, -10881, -16807, -24723?\nAnswer: -34917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3139495482.\nAnswer: 2, 3, 523249247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2350)\/(-200) - (-1)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - d**2 + 4*d + 3. Let k be g(-2). Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 18 = -h. Let b be (-1)\/h + 21\/504. What is the closest to 1 in b, 3, 17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107664.7 - 20602.\nAnswer: -128266.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778218561?\nAnswer: 3, 163, 619, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4807?\nAnswer: 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3 - 39267*d**2 - 385140336*d + 6558738788 = 0. Calculate d.\nAnswer: -19642, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 781374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**4\/5 + 3135144*u**3\/5 - 614320493792*u**2\/5 - 3135144*u\/5 + 614320493796\/5 = 0.\nAnswer: -1, 1, 391893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*y - 30 - 120 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5846 divided by 73.\nAnswer: 5846\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3))**8*(a**(2\/3))**32)**(-17\/4) assuming a is positive.\nAnswer: a**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*z + 56*z + 7*z + 43*z in the form g*z + p and give g.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 268*j**2 + 2928*j + 6912.\nAnswer: -2*(j - 12)*(j + 2)*(j + 144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 404 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2. Let o(s) = s**3 - 4*s**2 - 6*s + 5. Let u be o(5). Let v(t) be the second derivative of t + u*t**2 + 1\/3*t**3 + 0. Calculate v(a(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148620242?\nAnswer: 2, 19, 3911059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 220*i*q*z**2 - q*z - 166*z**2 wrt i?\nAnswer: 220*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.427 + 5.5. Round w to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*5*((-27)\/6)\/(-9). Suppose -2*k - 3*k = -h*z - 50, 3*k - 32 = 5*z. Find the first derivative of k + 32*f + 7 - 7 wrt f.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79c89a (base 15) to base 12\nAnswer: -1b444a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 1 - (20 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174787.\nAnswer: 277, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 39*u**2 + 19*u - 71. Is z(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 m when three letters picked without replacement from {q: 2, v: 13, m: 3}.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h + v - 8, -5*v + 8 = -h. Let s(d) = -3*d + 3*d**h + 0*d**2 + d**2 + 1 - d**2. Determine s(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 446971\/121 - 3694. Is 0 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7128*x + 4287*x + 589*x to the form j + q*x and give q.\nAnswer: 12004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1801, -3291, -4781, -6271?\n\"Answer: -1490*b - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**3 - 48*w**2 + 171*w + 108. What is z(5)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*y**2 + 682 - 240 + 250*y**2 - 205 - 237.\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*a - 2*a = -3, -3*d - 1 = a. Suppose -4*i = 3*r - 279, -3*i + r = -d*r - 206. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/7)*s*s)\/s)**(-5\/7)\/(s**0)**(-12))\/(s**(4\/7)\/(s*s*s**5)*(s\/(s*s**(-1\/6))*s)\/(s\/(s\/s**(-1\/3)))) assuming s is positive.\nAnswer: s**(433\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three tenths of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = 5*c - 7*z + 23, -5*z = -c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -7442*q**3 - 5327984*q**2 + 349400*q - 5728 = 0. Calculate q.\nAnswer: -716, 2\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 100714655297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -453 (c) 109 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298, -284, -256, -208, -134, -28, 116, 304?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 744652?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-6 + ((-765)\/(-10))\/9)*30 and 175?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001039213 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + m + 0*m)*(3 - 4 + 2)*(5*m + 4*m + 3 - 8*m).\nAnswer: -m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 4*j**5\/5 - 4*j**3\/3 + 2. What is c in q(c) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 + 63 + i**2 - 71 - 30*i. Let m be j(-15). What is the units digit of (-3)\/(-12) - 1246\/m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(612) + sqrt(612) + -1 + sqrt(612))**2.\nAnswer: 72*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 17*l**3 - 5*l**2 - l - 4. Let f be (-185)\/(-25) + 2\/(-5). Let b be z(f). Suppose h = 3*y - 10784, -5*y = 5*h - 23515 + b. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.22 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.063 and 3.\nAnswer: -0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28421987*y**5 + 12966313*y**2 + y?\nAnswer: -1705319220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.06, 5, 10, -21473\/3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.82 - -23. Let v = -0.08 + s. Let r = 0.100031 - v. Round r to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - 11c?\nAnswer: -10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51693?\nAnswer: 3, 17231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -70*r + 30. Give l(-1).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 358)*(-22)\/(-5). Let z = f - 1097. 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 830?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 102, 212 in decreasing order.\nAnswer: 212, 102, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6126*s*u**4*v + 34*s*u**2*v - 137*s*u**2 + 3*s*u - 2*u**4 - 3386*u**3 + u**2 + 3*u - 2*v + 2 wrt u?\nAnswer: -147024*s*u*v - 48*u - 20316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727040142.\nAnswer: 2, 3, 71, 73, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/9, 28, 4, 5\/8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (40\/(-6))\/(20\/(-30)). Let j be (k - 2)*1\/2. Suppose j*o = -n + 3*n - 96, 0 = 4*n - 5*o - 186. Calculate the greatest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/147)\/((-2)\/14). Suppose n = 5*p + 2, -n + p + u = -2*p. Solve 4*r = n*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114 and 479157.\nAnswer: 18207966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 34. Let c = t + 11.3. What is c rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/82824 and 31\/1428714.\nAnswer: 5714856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 22) + (251 - 238)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2) + 9 + -7 - 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15922 divided by -1?\nAnswer: -15922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 + n**3 - 5*n**3 - 3*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6 = p. Let h(k) be the first derivative of 2\/3*k**p + 0*k**2 - 3 + 0*k - 3\/4*k**4. Find the third derivative of h(f) wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*j + 4*j - 42*j + 21 + j**2 - 20 as b + q*j + g*j**2 and give q.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {b: 9, u: 3}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*l - 3*s + 26, 5*l - 4*s = -6. Factor -6*f**3 + 7*f**l + 8*f**2 - 27 + 3*f**3 - 9*f.\nAnswer: -3*(f - 3)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3050 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*g - 16 = 119*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -67319*18\nAnswer: -1211742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 161212.6 and -5596.\nAnswer: 155616.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*m - 39874 = -25924 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - -1) + -2 + -21. Let h be ((-10)\/(-12))\/((-3)\/z). Let x = 6 - h. Which is the smallest value? (a) 4 (b) 1\/6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1 - 4*y**2 + 7*y + 5*y**2 + 1. Let i be q(-7). Solve i*r = -5*l - 18, 3*l = -2*r - 3*r - 26 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -39*d + 147. Determine o(9).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (-38 + (-23 - (27 - 213)))\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 803027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*k + 1 = 131*k + c, 4*k + 6 = 2*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-2)*-1*8. Suppose -3*i + 5 = -2*i. Suppose i*s - m = s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 + 879*s**2 - 112 + 946*s**2 - 1833*s**2 to the form x*s + a*s**2 + l + f*s**3 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - -0.05. Let z = -0.43 - x. Let s be ((-70)\/135)\/7*(-228)\/(-76). Which is the nearest to s? (a) -2 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 1610777\nAnswer: 17\/1610777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkrrrrrrrkrrrr.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87620 - 57625. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*m - 28. Suppose 4*b + m = 3*g, 31 = g + 2*g - 5*b. Suppose -g*z = 3*l - 52, -z + 24 = -3*l - 2. What is the highest common factor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 (base 14) in base 3?\nAnswer: -22120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1)\/k*k**(1\/2)*(k*k**(-2\/15))\/(k\/(k\/(k\/(k\/k**(-1))*k))*k) assuming k is positive.\nAnswer: k**(-49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81 + 112 - 84)*((0 - 1 + 0)*(2 + 2 + 0) - 4 - 3 + 2)*(x + 4*x - 2*x).\nAnswer: 1431*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4\/3)*c**(1\/40)\/c*((c**(-16\/3)\/c)\/c)\/c*c\/c**19 assuming c is positive.\nAnswer: c**(-3437\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n**3 - 3*n**2 - 3*n - 3. Let a(k) = k**3 - k**2 - 1. Let s(z) = -3*a(z) + r(z). Find the second derivative of s(o) wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b - 2 = 0. Calculate the common denominator of (17 + 4 + b)\/14 and 174*((-795)\/(-72) - 11).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 27*o - 2. Suppose -5*a - 25 = 0, -3*l + 0*a - a - 2 = 0. What is the remainder when 48 is divided by d(l)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 369 + -365. Let 5*g**2 + 5*g**2 - 3*g**3 - 10*g**2 + 7*g**4 - 4*g**v = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/152469 (b) 0.4 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1569964278?\nAnswer: 2, 3, 109, 2400557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9)\/(-6) + (-769)\/(-2) is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17088 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*h + 33, 4*h - 15 = -2*y - y. Let k(b) = b**3 + 4*b**2 + 3*b + 1. What is the smallest common multiple of k(-2) and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2. Let x(h) = -h - 1. Let q(t) = 24*t + 3. Let g(m) = -2*q(m) - 6*x(m). Determine p(g(r)).\nAnswer: -1764*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -878 (c) -205.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 66014*f + 112. Let g be x(-8). What is g rounded to the nearest 10000?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/392 and 71\/8117032.\nAnswer: 56819224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*s - 3*s - s)*(35 + 45*s - 35)*(-14*s + 5*s - 4*s) in the form d*s + c*s**3 + z + g*s**2 and give c.\nAnswer: -2340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 92. Let k = -65.3 - l. Which is greater: k or -13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40742911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/47)*y)\/y)\/y**(5\/7) assuming y is positive.\nAnswer: y**(-221\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/165*(-1890)\/(-8820).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 21 = 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43816 divided by -10954.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1320 - -1317. Put -7, 7, j, 3 in increasing order.\nAnswer: -7, j, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 3:17 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.87 - 0.13. What is the closest to k in 3\/4, 1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-480)\/(-144))\/((-4)\/3).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -13*y - 64 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24110*x**4 + x + 0*x - 4*x**2 - x**3 + 46 + 24109*x**4 to the form b*x**3 + j*x**4 + f*x + o*x**2 + t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 563364*o**2 - 79301352309*o + 12225772648474.\nAnswer: -(o - 154)*(o + 281759)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (3 - -1) + -3. Suppose 5*q = -l - 67, g*q - 3*l = -l - 76. List the prime factors of q*(1 + 38\/(-4)).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8870\/221 + 482\/13. Find the common denominator of v and -43\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-5)\/50).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -13*u**6\/60 + 8*u**3\/3 - 11*u**2. Differentiate t(s) wrt s.\nAnswer: -78*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/6 + (-84)\/32 and 28\/51.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/58024 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/5 - 4485*u**2 + 1078128*u\/5 - 12944448\/5.\nAnswer: -(u - 24)**2*(u + 22473)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 5*q**2 - 4*q + 3. Let r be m(4). Let p be 6\/(-15) - (-604)\/10. Suppose -p = r*x - 8*x. Calculate the least common multiple of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -235*x + 40. Let o(w) = 18*w - 3. What is 3*d(u) + 40*o(u)?\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Suppose -5*l - 9 = -2*s, -5*s - 4*l = -f*l - 6. Suppose -k = -5*b - 16999995, 0 = -0*b + s*b + 4*k + 6800020. Round b to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 12*n**2 + 2*n. Let s(q) = 209*q**2 - 1. What is 5*p(h) - s(h)?\nAnswer: -149*h**2 + 10*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2. Let r(n) be the first derivative of 3*n**2\/2 + 5*n - 2. Let c(f) = -6*f - 9. Let h(g) = -5*c(g) - 9*r(g). What is b(h(d))?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -24. Solve -7*q = -5*q - r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*b - 512, -32*b + 637 = 5*y - 35*b. What is the remainder when 1248 is divided by y?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 890 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 - 87\/9. Let w be m*(-1)\/2*-2. Let j = -7 - w. Solve -2*l = j*s + 2*l, -3*l = 4*s + 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -126841 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, -171, -392, -613, -834?\nAnswer: -1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 1 - (0 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -7*h**2 + 3*h - 123179. Let v(g) = -5*g. Calculate l(v(d)).\nAnswer: -175*d**2 - 15*d - 123179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -164 + 37 + 261*l**2 + 613 wrt l.\nAnswer: 522*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmuoouuummoommmmomo. Give prob of sequence ommo.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/(-3)*(-6)\/2. Let y = -17 + r. Solve 2*i = -y*l + 2, -4*i + 5*l + 27 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1098836 is divided by 99894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -620.1 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 6. Determine s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 - 0 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. What is the third derivative of 3*j**5 + 2*j**s - 3*j**5 - 5*j**5 + j**5 wrt j?\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54326, 54327, 54348, 54401, 54498, 54651, 54872?\nAnswer: 55173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u**3 + u**2 + u + 1. Let w be a(-1). Suppose -4*g = -5*z + w, -5*g + 2*z + 3 = -7. Calculate the highest common divisor of g and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 9 + d - 2*d - 7*d.\nAnswer: -9*d + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00973869 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 8*s + 2. Let j be 8\/(-10)*(7 - (8 + 429)). Let q = -350 + j. Calculate z(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3537100.7 - -3480.\nAnswer: -3533620.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 835 and 54455861?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**3 - 17552*s**2 + 4872*s wrt s.\nAnswer: 12*s - 35104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 + -0.84. Let i = 2930 + -2929.7. Which is the closest to -2? (a) 5\/4 (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139311987?\nAnswer: 3, 46437329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + 4\/1 - 6*-9?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79731\/8 or -14\/13?\nAnswer: -79731\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 9*b**2 + 10*b**2 + 486*b.\nAnswer: -b**2 + 486*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*n, 2*l - 7764 = -0*n - n. Let c = l + -23207\/6. Find the common denominator of 9\/16*6\/3 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39.44 - -2.56. Is 41 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12248 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**4\/7 - 8*f**3\/7 + 30*f**2\/7 + 36*f\/7 = 0.\nAnswer: -6, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 + -10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9063 or -81574\/9?\nAnswer: -81574\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 23. Suppose 22 = -191*n + 189*n. Determine r(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150353846, 150353852, 150353858?\nAnswer: 150353864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3014851 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 549.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 1)*(3 - 7\/4). Let d(a) be the third derivative of 7*a**4\/24 + a**3\/6 - 26*a**2. Let w(g) = 6*g + 1. What is l*w(s) + 4*d(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/49 in 3, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000067922 rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 6:03 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011111 (base 2) to base 7.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 257*q + 252*q - 16 = 0, -q = 2*w + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4789471 is divided by 46955.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4*86*-1. Suppose -5*u = -2*u - h. What is the remainder when u is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 4443?\nAnswer: 8886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxghwcowwwogwwwcww. What is prob of picking 1 w and 2 g?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 34 - 8 = 0. Let k(n) = -5*n + 1 - n + b*n + n + 5*n**2. Calculate k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 41024?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -q + 10 - 2, 2*q = s + 6. Let z be (84\/(-112))\/(9\/s). What is the fourth smallest value in z, 4, -1.8, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvdvvvdbv. Give prob of sequence vvv.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 60.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 - (2 + 63 + -99)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 649172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14\/9 + -205\/126. Let h be 2 - (1 + 7 + -1). Sort h, c, -3 in decreasing order.\nAnswer: c, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 196 - 31 = 0. Let m = 49 - c. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38786\/(-253872) - (-2)\/3*(-2)\/(-12)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*a + 55*a - 136*a + 98*a - 4.\nAnswer: 57*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/(-4) - (7 - 4). What is the common denominator of 40\/9 and 2552\/(-288) - s\/(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3760 and 5170?\nAnswer: 41360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 485256*p + 5337691. Give t(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*c + 4154, -144*c + 1383 = x - 145*c. Calculate the remainder when x is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/((-30)\/700). Let q = i + -35. Solve 3*y + 5*x + 4 + 1 = q, 4 = -4*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**0\/d)*d)**(2\/37) assuming d is positive.\nAnswer: d**(4\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 + 3*h + 1. Let j be ((-55)\/25 + 3)*10\/(-4). Calculate f(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14952 - 10788 = -347*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2568*y**2 + 625*y - 45. What is the thousands digit of d(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -709\/9. Let j = 4.87 + 0.13. Let o = 4.7 - j. What is the closest to -0.2 in o, d, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 57*t**2 - 186*t**2 - 53*t**2)*(-3*t + 3*t - 2*t).\nAnswer: 364*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) -354 (c) -10\/97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 7) to base 2\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n**3 - 28 - 10*n + 94*n - 9*n**3 + 23*n**2 - 6*n. Give c(26).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -5*g**2\/2 + 3. Does 5 divide m(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 9. Solve t*i + 14 = -3*k, 4*i + 22 = i - 5*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-72))\/(((-12)\/(-54))\/(308\/189))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 6*w - 5. Suppose 2*j = 7*j + 5*d + 40, 3*j + 4*d + 25 = 0. Let a be f(j). Differentiate -2*b**a - 1 + 1 - 2 with respect to b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 16 = -6*z + 2*z, 0 = 3*q - 2*z - 8. Let d = 6 - 4. Which is the nearest to q? (a) -4 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30 - -1 - (-4 + 3 - -3). Suppose -34*a + c*a - 855 = 0. Let n = 248 + a. What is the highest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 972 - 1078. Which is smaller: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2342, 53 in descending order.\nAnswer: 2342, 53, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccy. What is prob of picking 1 c and 1 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 28*a**6\/15 - a**4\/3 - 78*a**3 - a**2\/2 - 11*a + 17. Find the second derivative of x(c) wrt c.\nAnswer: 672*c**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(2)*-3 + 4 + (-1 + -1*sqrt(200))**2.\nAnswer: 5*sqrt(2) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpv when three letters picked without replacement from {d: 2, v: 4, p: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.255604 millilitres?\nAnswer: 0.006255604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.6 (b) -5 (c) 1\/7 (d) 0.3 (e) 5\/823\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 1:29 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*q**3 + 234*q**2 + 808*q.\nAnswer: 2*q*(q + 4)*(4*q + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*t = -w + 29, -3*w = 5*t + 22. Let v be (1 + 1 - 1)*w. Let c(g) = -g**3 - g**2 + 2*g. Let n be c(0). Put 2, v, n, -2 in increasing order.\nAnswer: -2, n, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-3971)\/19)\/(-19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 560\/(-21) - (-4 - 0). Which is the closest to -1? (a) r (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, q: 10}. What is prob of sequence vv?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 4*k**2 - 3. Let u be s(-3). Suppose -v - v + u = 0. Which is bigger: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**8\/10080 + g**5\/30 + g**2. Let i(h) be the third derivative of x(h). Let f(w) = 2*w. Calculate f(i(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from znznnhzznnnhnznh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 0*l + 0*l + 0*l + 2*l - 9*l. Let w(b) = -27*b. Give h(w(v)).\nAnswer: 189*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24344 and 1074.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 35576.75 to the nearest 100.\nAnswer: 35600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, o: 5}. What is prob of sequence opp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -466 + 730. Let h = 453 - z. Calculate the greatest common divisor of 21 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 29 = 5*u - 103, 2*u - 47 = 5*t. Solve -4*a + u = 2*k, -2*k = -2 - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4270045 (base 10) in base 16?\nAnswer: -4127dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -c + 5*c + 67, -4*c = -3*n + 75. Let a be 760\/(-18) - 4\/c. Let r = a - -64. Solve -4*s + r = 2*w, 3*w = 4*w - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.83 in 9, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303 (base 7) to base 2.\nAnswer: 10010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27303.6 minutes to nanoseconds.\nAnswer: 1638216000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*w - 48 = 108*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2 - 496053*v + 1 + 494789*v to the form z + i*v and give i.\nAnswer: -1264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-158)\/40 - -1 - (-318 - -315)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 113 = 127. Let f = -61 - o. Sort 4, 0, f in decreasing order.\nAnswer: 4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-4 - 1) + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*o + 3*o - 75*o**2 - 5*o.\nAnswer: -75*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(5 - 2 + g**2 - 5).\nAnswer: -3*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -26. Let i be 0 - (0 - p - 1). Let d be 2 - 2 - -1 - i. Solve -2*u = d - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1005 * 0.2.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 - 1 - (8 + -2 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**6\/120 - q**5\/60 - q**4\/3 - 5*q**2 + 3*q. Let y(b) = b. Calculate t(r) + 6*y(r).\nAnswer: r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15730 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z - 4*z + 14*z - 6*z. Determine k(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 107 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emtbriitrrrb. What is prob of picking 1 t and 2 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1725 is divided by 1707?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjdkzka. Give prob of picking 1 a and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 10 = 0, -2*n + 3*p = 8*p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1\/2 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7758481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-one halves of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**3 - 3*s**2 + 3*s - 1. Let l be w(1). Suppose -3*j - l*b + 6 = 0, 0 = -j - 4*b + 8*b - 8. Solve -3*f + j*f = 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4*b - 17*b + 1 to the form f*b + d and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 59, -15 in decreasing order.\nAnswer: 59, 0, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -224.21 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 8. Let c(a) = a - 5. Suppose 5*t = -5*d + 35, 2*t + 1 = d + 2*d. Let i be (-7)\/(-5) + d\/5. Suppose -i*s = -s - 8. What is s*c(f) - 5*r(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4 - 4, -h = -2*f - 7. Suppose 3*y = -6, -2*u + h*y = -0*y - 220. What is the remainder when u is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 12, -3, -183897 in descending order.\nAnswer: 12, 8, -3, -183897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2.94. Let v = 0.06 + l. Put 1\/2, v, -0.3 in decreasing order.\nAnswer: 1\/2, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 7*l - 3. Let n(a) = -a**2 + 6*a - 3. Give -6*n(j) + 5*y(j).\nAnswer: -4*j**2 - j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427.7095 milligrams to tonnes.\nAnswer: 0.0000004277095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (72\/45)\/(4\/(-10))*264\/132\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, -4 in increasing order.\nAnswer: -11, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**5 - 397*b**4 + 4736*b.\nAnswer: 60*b**3 - 4764*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1174 = 3*v - 304, 0 = 5*v + 3*d - 2458. What are the prime factors of v?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 28322*p**3\/11 + 66017630*p**2\/11 - 2219104*p\/11 + 18648\/11 = 0.\nAnswer: -2331, 2\/119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 15*j**2 + j + 13. Let g be f(-4). Suppose -4*i + 7*i - 4*r - g = 0, 4*r - 146 = -2*i. Put i, 0, 3, 2 in descending order.\nAnswer: i, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 2*r - 1. Let s be f(-1). Suppose -t - 4 = l, l + 12 = -3*t + s. Let b(p) be the second derivative of -7*p**5\/20 - p**4\/12 + 737*p. Give b(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 2*3\/(-6). Suppose 13675 - 2493 = 5*p + 3*t, -5*p + 2*t = -11187. Suppose -6 = 2*q, -q = 4*m - c*q - p. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 1 - (-1 - 1). Let s be 0\/(-4)*(c + 0). Solve s*n + n = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -22.9, 280?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 1641510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1827 - 7121*i + 14233*i - 7121*i - 1827.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 12\/21)\/(10168\/(-604996))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 190*i**2. Let j(h) = 68580*h. Determine v(j(f)).\nAnswer: 893611116000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*w*y**2 + 2*w*y - 15*y**3 - 2*y - 12965 wrt y?\nAnswer: 30*w - 90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + f = 1, 7*f - 4*f = -2*y - 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(8\/20)\/(-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -255213 rounded to the nearest one hundred?\nAnswer: -255200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + j. Let d be 0*2*(-1)\/(-2). Let t be y(d). Let g be 1*6\/(2 - t). Solve g*b - 15 = -0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f90 (base 16) to base 5.\nAnswer: -224310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5646052 + 5646105.98918. Let n = -54 + c. Round n to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 118*l - 127*l. Calculate the least common multiple of l and 534.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 262825428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0117 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**(2\/13))**(-2\/55))**(5\/7))**(-2\/115))**18 assuming p is positive.\nAnswer: p**(72\/10465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*u - 122 - 113, 2*l = -u - 426. Let m be l\/(-86)*8\/5. Do 62\/17 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - t - 8 + 2)*(-47*t + 18*t + 85*t).\nAnswer: -56*t**2 - 504*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, 0, 11, 26, 45?\n\"Answer: 2*a**2 + a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-1)\/(-6)*15. Suppose -6*c + 32 = 2*c. Let j(r) = -3*r**2 - 17*r + 8. Let b be j(-6). Sort b, n, c in increasing order.\nAnswer: b, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.59 minus 7827882?\nAnswer: -7827881.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -105015, -210029, -315043?\n\"Answer: -105014*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2 = 12. Let g be (-10)\/(-4)*(-1 + i + 3). Factor 15*c**3 - 5*c**2 - 56*c - 36*c + g + 77*c - 5*c**4.\nAnswer: -5*(c - 2)*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -67 + 0*v**3 + 0*v**5 + 0*v + 15*v**6 + 0*v**4 + 29\/2*v**2. What is the second derivative of d(o) wrt o?\nAnswer: 1800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -16. Suppose -m + 3 = 2*m + n*f, 5 = m - f. Suppose m*h = 19 + 44. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 2 + g - 3\/2*g**2. Differentiate r(u) with respect to u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9036828 divided by -3114\nAnswer: 2902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 + 2*j**2 - 2 + 1)*(-8*j + 9*j - 109*j) to the form p + s*j**2 + g*j + f*j**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 12*r**3 + 12*r**2 - 3*r + 5. Let m(u) = 2*u**3 + 3*u**2. Let g(v) = -5*m(v) + t(v). Let l(o) = -o**3 + 2*o**2 + 2*o - 4. Calculate -2*g(n) - 3*l(n).\nAnswer: -n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 + 2*a**4 - 2*a**2 - a**4 + 0*a**4 - 2*a**4 + 3*a**4 + 0*a**4 + 0*a**4 + 2*a**4 + (-3 - 1 + 2)*(-a**4 + 2*a**4 - 5*a**4) + 4*a**2 - a**4 - 4*a**2.\nAnswer: 8*a**4 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.78 times -0.4?\nAnswer: 15.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-20) - (-2548)\/(-20). Which is smaller: n or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -37*v**3\/3 + 28*v + 30. Find the first derivative of z(w) wrt w.\nAnswer: -74*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 138*w - 125*w + 130 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563 + 2237 = 43*m - 1061 - 318 for m.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18162*g**3*s**2 - 2*g**3*s + 1274*g + 5*s**2 wrt g.\nAnswer: 108972*g*s**2 - 12*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-4 - (-210)\/91). Factor 10\/13*p + 8\/13*p**2 + g + 2\/13*p**3.\nAnswer: 2*(p + 1)**2*(p + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1616 - -1618.9672. Round h to 2 decimal places.\nAnswer: 2.97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 1\/2*c**5 + 0 + 1\/12*c**4 + 0*c + 1\/6*c**3 - 6*c**2. List the prime factors of f(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*(-8)\/660)\/(714\/(-612)).\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 332, 650, 1276, 2312, 3860, 6022?\nAnswer: 8900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 10:09 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.943 rounded to two decimal places?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1560308*0.1.\nAnswer: -0.01560308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -153*o**3 + 11*o**2 - 29*o + 20. What is d(1)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 68 + (-24 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264035.\nAnswer: 5, 52807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22023 - -140?\nAnswer: 22163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 247 - 27. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**4 + 39506*m**3 - 3247243*m**2 + 25059024*m + 8715276 = 0?\nAnswer: -1\/3, 9, 74, 13086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6) - (-13)\/(-2). Let m(v) = 2*v + 9. Let c be m(z). Does 3 divide (-18)\/c + 4\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234679 is divided by 11172?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/2 - (-89 - 1). Suppose 3*o - 126 = -3*v, o - 3*v = 3*o - m. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101110100110011010 (base 2) to base 11.\nAnswer: 28a3a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 307*x + 7 = 304*x, -5*b - x = -19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000916911 to 5 dps.\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1185)\/(-711)*27\/(-12) - -4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54726072 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101110 - -1010?\nAnswer: 1000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 82*n**2 - 25*n. Let b(q) = -41*q**2 + 10*q. Let c(a) = 5*b(a) + 2*v(a). Let l(d) = 3*d**2. Calculate c(l(z)).\nAnswer: -369*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6138611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546470 (base 16) to base 11.\nAnswer: 3138362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30936043651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**4*n - 771*c**4 - 2298*c**2*n - 36634*c*n + 7*c + 4 wrt c.\nAnswer: 12*c**2*n - 9252*c**2 - 4596*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -55*z**2 + 284*z + 261. Calculate d(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870011?\nAnswer: 149, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 + 10?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**5*g))**(2\/7) assuming g is positive.\nAnswer: g**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -176*d**2 + 701*d + 9. Determine t(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3 + 4*j - 2*j + 0 - 3*j. Let m be v(0). Suppose 4*b - 3 = -15. Are m and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13753, -110039, -371431, -880483, -1719749, -2971783, -4719139?\n\"Answer: -13759*i**3 + i**2 + 24*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*236\/60 - 0. Let s = y + -1747\/120. Find the common denominator of 16\/3 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172859497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -32480*i**3 + 9*i**2 + 27*i. Let k(w) = -8120*w**3 + 2*w**2 + 6*w. Give -9*k(h) + 2*n(h).\nAnswer: 8120*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 0.1 (c) -7\/11 (d) -2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33009 from -18302.49501.\nAnswer: -51311.49501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + (-21 - -5) + -1029 + 1023\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 9 = r, 2*a - a + 45 = 5*r. Calculate the lowest common multiple of 2 and (r + -7)\/(2\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from iooiyyiyyiii?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-237)\/(-395))\/(3 - 74\/25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3 + 8 - 2 + 17*i + 8 + 14*i**2 + 1. Let q(h) = -5*h**2 - 6*h - 4. Calculate 6*a(c) + 17*q(c).\nAnswer: -c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -51. Suppose 4*y - 4 = -2*g, 3*g + 1 - 10 = -3*y. Put y, i, 4 in ascending order.\nAnswer: i, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25252093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 623331 + -23206.\nAnswer: 600125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 21 = -5*u, 0 = -40*u + 36*u - 2*t - 18. Let p = 30 + -29.973. Which is the biggest value? (a) 3 (b) 2\/3 (c) u (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211312302 (base 4) in base 15?\nAnswer: 83937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/((-225)\/(-2)) + (-236)\/30 + -4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1348, -1345, -1340, -1333, -1324?\nAnswer: -1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1)\/5*-12.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**6\/240 - v**5\/80 - 3*v**3\/2 - 6*v**2. Let k(j) be the first derivative of i(j). Factor k(w).\nAnswer: 3*w*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6090 divided by -6\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 57 = -62. Suppose -q = 2*r - 1, -4*r - 5*q - 2 = -d. Let i(l) = 2*l - 1. Let t be i(2). Solve -2*y + 3*h = 9, t*h - 2*h = r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95\/(-114))\/((-14)\/(-78)) + 2\/14?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, o: 3, c: 2}. What is prob of sequence otot?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {l: 4, q: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -37*v**4\/4 + 10*v**2 - 16. What is the second derivative of n(j) wrt j?\nAnswer: -222*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -597\/8 - -425637\/5704. Which is smaller: k or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -23322610?\nAnswer: -23322606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-190 + 125 + 67 + 464*s)*(2*s**3 - 2*s**3 + 2*s**3) to the form w + y*s**2 + o*s**3 + k*s + a*s**4 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 + 135. Let z be 176\/(-120) - (-1)\/h*-2. Which is the biggest value? (a) -1 (b) 2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13 + 68 - 43*u - 5*u**2 + 23*u + 44 - 100*u.\nAnswer: -5*(u - 1)*(u + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1771936 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/4 + 271*p**3\/4 + 2337*p**2\/4 - 5491*p\/4 + 1441\/2 = 0. What is p?\nAnswer: -262, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/(-12) - 1) + (-3)\/(-18). Which is the nearest to g? (a) 4 (b) -0.1 (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x = 0. Suppose -5*i - t + 57 = x, 8 - 29 = -3*i - 5*t. Suppose 0 = -4*n - 0 + i. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-1 + (-1 - (3 + 2)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3006314885.\nAnswer: 5, 7, 12270673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 474, 92, -560, -1494, -2722, -4256, -6108, -8290?\n\"Answer: -2*f**3 - 123*f**2 + f + 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11b05 (base 12) to base 5\nAnswer: 1232203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -218 divided by 5?\nAnswer: -218\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 392879 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-2)\/(-1) + -14. Let o = h + 17. Let g be 10\/(-2 + o + -1). Solve -9 = 3*y, 0*y - g*y - 17 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/15)\/(1\/(-10)). Let y = h - -2. Let z = y + -10. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + p**2 + 90*p - 171. Give l(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**4\/12 + 2*r**3\/3 + 3*r**2\/2 - r. Let v(h) = -h**2 - 56*h + 4. Let j be v(0). Give f(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-243)\/36)\/((-111)\/(-296))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 602 - 601.4736. Let x = z + -0.0264. What is the second biggest value in x, 5, 0.08, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-11))\/((-916)\/35266).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/10*28\/98.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -7, -48, 47\/4, 15\/2 in ascending order.\nAnswer: -48, -7, 2\/13, 15\/2, 47\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -0.2803.\nAnswer: 6.7197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-18) - 29\/(-9). Suppose q*l + 28 - 94 = 0. Suppose k + 3*k - 220 = 0. Calculate the highest common divisor of l and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 4 = -8*i. Which is the biggest value? (a) -6\/7 (b) i (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1850*u**3 - 48489*u**2 + 38604566*u wrt u.\nAnswer: -11100*u - 96978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4515.\nAnswer: 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3404369?\nAnswer: 17, 200257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 + 2021*g + 49. Let o(d) = d**2 - 674*d - 18. Determine 11*o(x) + 4*w(x).\nAnswer: -x**2 + 670*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*o + 54*o = -12 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -19. Suppose -4*h = -v*c - 5*c + 222, 4*h + 180 = 4*c. Is c a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*h - 105. Calculate the common denominator of 25\/8 and (-8)\/20 + (-582)\/h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (4\/(-10))\/(18\/(-75)). Let n be (-6)\/8*1\/3. Which is the closest to n? (a) 1\/3 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w - 973 + 16*w + 446 + 531. What is r(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4\/10) + 135\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 130*l**3 - 3*l**2 + 4*l - 1. Suppose 0 = -4*c + 8. Let y be j(c). Let p = -5212\/5 + y. Calculate the common denominator of p and 43\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61560.2191 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 303\/42*(-4)\/(-6). Let u be 1 - 2 - (-96)\/14. Let x = w + u. Find the common denominator of -2\/7 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192104*l - 567702*l + 242824*l - 893819*l.\nAnswer: -1410801*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 23*r**3 + 2*r**2 + 83*r - 609. Let k be x(10). What is the greatest common divisor of k and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2670661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b - 3*b**2 - 2*b - 2. Suppose 52 = -10*m + 102. Let z(q) = q**2 + 6*q**2 - 3 + 0 + 8. Determine m*x(a) + 2*z(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -6*n + 272. Calculate the highest common factor of n and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 8 - 1 - 1579*r**2 + 2.\nAnswer: -1579*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10465 by 2093.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -3 (c) -0.04 (d) 344.5 (e) 0.055\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {n: 1, c: 7, j: 6}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3*30\/(-18) + 11 - -1381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121770 (base 8) in base 14?\nAnswer: -11424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 146390 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46.6, 1344, -0.2, 18 in increasing order.\nAnswer: -46.6, -0.2, 18, 1344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 - (-82 - -81).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-8)*o)\/o)**(1\/76) assuming o is positive.\nAnswer: o**(-7\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m = -55. Let b = -27 + m. Let o = 32 + b. Solve o = 5*r + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 353 by -6.\nAnswer: -353\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 8*z**2 + 2*z + 10. Let g = -29 - -19. Let f be (-37)\/5 - g\/25. Does 15 divide l(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.263 + -0.237. Round z to 1 decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**5\/12 - 5*p**4\/24 - 3*p**2\/2 + 2*p. Let b(n) be the first derivative of s(n). Find the second derivative of b(l) wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -503, -1009, -1515, -2021?\nAnswer: -2527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 23874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62497 + 24592*w**2 - 62497 - 24605*w**2 + 2*w.\nAnswer: -13*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164466 by -2.\nAnswer: -82233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162316 - 37828 = 42*v. Is v a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*r - 250, 4*j = -r - 3*r + 440. Is j a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7628\/77 and -98 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24955*b**4*w + b**2 + 92*b*w - 130*b + w wrt b?\nAnswer: -299460*b**2*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/38364 and -16\/3750915?\nAnswer: 345084180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 14*g**2 + 12*g - 10. Calculate the lowest common multiple of 5 and c(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11885168 take away -282.73754?\nAnswer: -11884885.26246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**3 - 2235*v**2 + 8828*v + 214176 = 0.\nAnswer: -8, 12, 2231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 46709836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 4*j**2 + 3*j - 5. Let d be o(4). Is (-390)\/(-7) - (-2)\/d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 s, and 1 q when four letters picked without replacement from {s: 3, q: 1, d: 4, j: 2, m: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8323\/3630 + -104\/121. What is the common denominator of 19\/170 and p?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - ((-1650)\/(-24))\/11. Let y = -7 - -2. Sort -0.03, y, d in descending order.\nAnswer: -0.03, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 14 - 22 = 0. Suppose d*b - 52 = -5*l, 2*l + l - 27 = -b. Solve -4*a = -v + l, -2*a = -3*v - 0*v + 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 10*q**3 - 7*q - 3. Let p(j) be the third derivative of -3*j**6\/40 + j**4\/4 + j**3\/3 + j**2 + 472*j. Give -4*l(a) - 5*p(a).\nAnswer: 5*a**3 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/63 and -121\/6.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0*m**4 + 0*m**5 + 0*m**2 + 4\/3*m**3 - 32*m + 0 + 11\/10*m**6. What is the second derivative of b(i) wrt i?\nAnswer: 396*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 11) to base 13\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1201, -1164, -1129, -1096, -1065, -1036?\nAnswer: -1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194543416 to the nearest integer?\nAnswer: 13948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 11:43 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 2. Let x = -9 + 6. Let n be (-3 - -1) + x + 2. Determine y(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmk when three letters picked without replacement from {m: 3, k: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 8*x**2 + 462*x**3 + 8*x**2 + 831*x**3.\nAnswer: 1293*x**3 + 14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2625653 is divided by 717.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -5 (b) 0.4 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 0.4 in increasing order.\nAnswer: 0, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30571.000092609 + 30571. Round a to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 + -3 + (-280)\/88 and (266\/20)\/(-1) + 1.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -690 + 695. Let v = 8 + -4. Let l be 6\/v*(3 - 1). Solve -p*o + 5 = 2*f + 3*f, 2*f - l*o - 7 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -62. Let l = 129 - w. Let z = 335 - l. List the prime factors of z.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7 - -9 - -5909)\/(0 + 1)?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, l: 6, z: 1, y: 5}. What is prob of picking 1 z and 3 m?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -953, -3644, -8261, -14912, -23705, -34748?\n\"Answer: -18*v**3 - 855*v**2 - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5664375 - 3?\nAnswer: 5664372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**4 + 3*w**3 + 33*w**2 - 12*w - 12. Let h(f) = 11*f**2 - 3 + 2 - 10*f**2 + f**3. Let d(x) = -15*h(x) + q(x). Factor d(i).\nAnswer: 3*(i - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 9*s**5\/2 - 50*s**3\/3 - 2*s + 2. Find the second derivative of d(h) wrt h.\nAnswer: 540*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10166\/(-8)*(8\/2)\/((-62)\/124)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5299 + 49865. List the prime factors of h.\nAnswer: 2, 22283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, 8\/3, 13\/22, 2, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 137 + 141?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (2 + 5 + -13)) + -11 + 5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2396)\/(-10) + 6\/15. Suppose 6*j - y = j. What is the common denominator of (-1 - (-45)\/j)*-81 and -103\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*k = 7 - 17, 4*d = k + 36. Suppose d*o = 5*o + 65. Suppose -w + 6 = -g, -w = 2*w + 3*g - 12. Solve 4*j - w*h - o = 0, -2 = 3*j - 5*j - 2*h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -12*t + 115. Let l be w(10). What is the remainder when 197 is divided by (-323)\/(-13) + ((-630)\/130 - l)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/63)\/(7\/14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 10) to base 2\nAnswer: 101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 173546, 174258, 175444, 177104, 179238, 181846, 184928?\n\"Answer: 237*j**2 + j + 173308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-6) - (-20 + -1). Is x smaller than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*a + a = 9*a. Suppose -3*l + 5 = -1. Is a bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81250080 divided by -459040\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 39537491, 79074975, 118612459, 158149943, 197687427?\n\"Answer: 39537484*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*s + 240 = 3*s, -r - 120 = -s. Let h be -6 + (-4 - r) - (0 + 0). Let j = h + -11. What is the remainder when j is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7352320 by 7352320.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - 7*q**2 - 9*q + 13. Let w be o(4). Let t(s) = s**3 + 7*s**2 - s - 3. Let r be t(w). Solve 0 = r*a - u - 6, 4*u - 10 = 3*a - 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -15*j + 9. What is the units digit of g(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 20*a**2 + 100*a + 83. Give g(-24).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625*v = -1226*v + 8414 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 960 and 152976?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -441 + 443. Let b be (-222)\/(-11) - (-2)\/(-11). Solve 3*s = -r - b, -2*r = s + f*r + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*g + 13*g**2 + 13*g + 21*g + 25*g.\nAnswer: 13*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -29*r - 17 - 23*r + 42. Is n(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 482 = 122. Calculate the remainder when m is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212022001022 - -10?\nAnswer: 2212022001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16334 + -1656. List the prime factors of g.\nAnswer: 2, 41, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21249 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4542.6 times -377?\nAnswer: -1712560.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, m: 4, z: 2, y: 1}. What is prob of sequence zz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 333*d + 2. Let x be n(2). Let u be 1641\/12 + 2\/8. Suppose -5*t = -u - x. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4106448, -8212894, -12319340, -16425786, -20532232?\nAnswer: -24638678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 3*l + 78*l**3 - 13*l**2.\nAnswer: 78*l**3 - 13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/2)\/((z\/(z*z**(4\/3)*z*z))\/z)*z*z**(8\/7)*z\/(z*z*(z\/(z*z\/(z\/((z*z\/(z**(-5\/4)*z))\/z)*z)*z))\/z*z)*z assuming z is positive.\nAnswer: z**(523\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/(1\/((-21)\/7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -217*b - 896*b + 709*b**2 + 355*b wrt b?\nAnswer: 1418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1320 - 1313. Let l be (-3 + 12 + -4)*1. Suppose -70 = -l*v + 75. What is the lowest common multiple of v and c?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.39 - 119452.60172.\nAnswer: -119452.21172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*(2*sqrt(343))**2 - sqrt(343)) + 1 + ((4*(sqrt(343) + 2) + sqrt(343))*-5)**2)*-3.\nAnswer: 167916*sqrt(7) + 2558784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a hour in minutes?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4730 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 2}. Give prob of sequence ln.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0449*-4\nAnswer: -0.1796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15455 + -1?\nAnswer: 15454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6 + -12)*(-5)\/3 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q + 69 - 183 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -410 + -1?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -17759?\nAnswer: -17759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + g - 1. Let i(v) = -2*v**2 + 2*v - 1. Let t(y) = -3*i(y) + 7*w(y). Suppose -5*p = 5*f + 10, f = -5*p - 6 - 4. Give t(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 206466, 412912, 619344, 825762, 1032166?\n\"Answer: -7*x**2 + 206467*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/688 - 150\/(-3225))\/(3\/240)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1123 is divided by 188.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 11*o - 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*z = 18. Let o = -1.22 + 0.32. What is the second biggest value in z, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**4 - 888*u**3 + 54532*u**2 - 526656*u - 4110080 = 0. Calculate u.\nAnswer: -5, 19, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.382086 nanoseconds in hours?\nAnswer: 0.000000000000106135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 0*j - j)*(4 - j**2 - 4) - j**3 + 5*j**3 - 3*j**3 + (j - 5*j + 3*j)*(2*j**2 + 3 - 3).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016102262 - -0.00237?\nAnswer: 0.018472262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 197 = -97. Calculate the highest common factor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 58730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 smaller than 5\/1123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/1642319 and 2\/1071.\nAnswer: 14780871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -3108.403?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474389?\nAnswer: 474389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -83292645\nAnswer: 166585290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1 + 1)\/(-3))\/(-1). Suppose -4*y + o*y = -12. Suppose -b + 6 = y. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b15964 + -5?\nAnswer: 1b1595d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*r + 813*r + 946*r + 4 + 2 - 2*r**3 + 494*r.\nAnswer: -2*r**3 + 2517*r + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.3 - 14.4. Let o = 8 - n. Which is the second biggest value? (a) -2 (b) o (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313023 (base 4) to base 5.\nAnswer: -103111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1703074, -3406142, -5109210, -6812278?\nAnswer: -8515346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 4*r + 24, 0 = -3*u + u - 3*r + 17. Suppose 30 = v + u. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Let a(n) = 2*n**2 - 3*n**s - n**3 + 0*n**3 + 3 + 3*n. What is the lowest common multiple of a(-3) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4349717 * 0.031.\nAnswer: 134841.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 1, f: 11}. What is prob of sequence gf?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -1401, -384 in descending order.\nAnswer: 4, -5, -384, -1401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**5 + 4*i**5 + 2*i**5)*(-4 + 3 + 2) - 2*i**5 + 0*i**2 + 0*i**2.\nAnswer: -i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20113 (base 5) in base 10?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -9*y + 41. Solve 0 = -2*f + y*f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 6:29 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h + 109*h + 165*h = -1708 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 24*q - 90. Suppose -q*o + 7*o - 8 = 0, -4*o = s - 3975. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.4 (c) 1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -3, 4, 55784 in descending order.\nAnswer: 55784, 4, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28342636 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 5180.\nAnswer: 5181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36229267 is divided by 18114617?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33 + 9 + 20 + 39*h)*(-2 - 2 + 1)*(-2 - 2*h + 2) to u*h**2 + n + v*h and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 + 3701.3?\nAnswer: 3701.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.4888g in milligrams?\nAnswer: 250488.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n + 171*q - 144 = 82*q + 85*q, -11*n + 4*q - 76 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110.24 - -2.24. Let i = -103 - x. Suppose -2*h = y + 4*y + 30, -5*h - 17 = -2*y. Which is the biggest value? (a) i (b) h (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 - -13?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2a18ec (base 16) to base 10\nAnswer: -2758892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*a - 10 = 0, -6*s + a = -3*s. Let u be s - (-4)\/(-1 + 3). What is the second derivative of -2 + 3 - u + i - i**4 wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 9, 5*p = 4*r + 15 - 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 1 = -5*u, -4*u + 9 = 5*k - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0924 * -29262.\nAnswer: -2703.8088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 133826 (base 16) to base 12\nAnswer: 508ab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -22*g**2 - 8. Let y(t) = 23*t**2 + 7. Let n(d) = -3*o(d) - 2*y(d). What is the first derivative of n(z) wrt z?\nAnswer: 40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63933251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 138 + -134. Solve x*t - 6*t - 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 275 = 30. What are the prime factors of h?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7+-748\nAnswer: -747.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -266, -3, 39 in descending order.\nAnswer: 39, -3, -8, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -8*u**4 + 2*u**3 - 956. Let r(g) = -15*g**4 + 5*g**3 - 1911. Let n(c) = -5*r(c) + 9*v(c). Find the first derivative of n(l) wrt l.\nAnswer: 12*l**3 - 21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(180)) + sqrt(180))**2.\nAnswer: 360*sqrt(5) + 6505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -218 in -57792, 11, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-197*z + 55*z**2 + 197*z)*(2*z**2 + 0*z**2 - z**2) - 3*z**3 + 5*z**3 + 2*z - 4*z**3 + 54*z**4.\nAnswer: 109*z**4 - 2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1848, 1701, 1296, 501, -816, -2787, -5544?\nAnswer: -9219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {p: 2, h: 4, a: 1, u: 3, x: 3, g: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1367, -5394, -12107, -21506?\nAnswer: -33591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -55, 5, 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + s + 3, -3*a + 3*s = 2*s - 1. Calculate the smallest common multiple of a and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**(-1\/28)*b))\/b)\/(b**(-2\/3)*b) assuming b is positive.\nAnswer: b**(-25\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -79. Let l be 10 + 14 - (1 + (-1 - 1)). Let o = l + j. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m = -4. List the prime factors of 1 - m - (-126)\/1.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*t - 93*t + 42*t - 49*t in the form s*t + b and give s.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((1 - 7 - 1) + 6) - -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823397417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 452 = -38*u + 2009 - 440 for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 360885*t**5 + 1004310*t**2.\nAnswer: 21653100*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 < 9662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 269*w**5\/10 + 599*w**4\/3 + w + 529. Find the third derivative of m(f) wrt f.\nAnswer: 3228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -3 - (-20 + 19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-187)*(-16522)\/2253.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + b. Let j(z) = 7*z**3 + 7*z**2 + 10*z - 4. Let a(l) = 6*h(l) - j(l). Let r be a(-7). Suppose r = 4*x - 0*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 26*q**6\/3 + 92*q**5 + 346*q**4 + 1648*q**3\/3 + 272*q**2 - 128*q - 1074. Suppose h(l) = 0. Calculate l.\nAnswer: -4, -2, -1, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97608.78cm in kilometers?\nAnswer: 0.9760878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64660 - -10992093\/170. Find the common denominator of 5\/12 and w.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p**2 + 26*p + 41. Let k(j) = 3*j**2 + 9*j + 14. Let n(a) = 7*k(a) - 2*z(a). Let u be n(-9). Is (-4535)\/u*44\/55 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 947042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 4:46 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7475 not equal to -7475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 50*x**5 - 5*x**3 - 77*x**2 - 5. Let o(g) = 25*g**5 - 2*g**3 - 39*g**2 - 2. Let f(r) = -2*k(r) + 5*o(r). Find the third derivative of f(d) wrt d.\nAnswer: 1500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 24 = -12. Suppose -9*c = -15*c + k. Suppose j - 34 = -c*i, -3*i + 5*i - 5*j - 17 = 0. Solve -9 - i = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 5*d - 3. Let j(y) = 3*y - 48. Let p be j(30). Let v be (6\/8)\/(p\/112). Determine b(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 8040 = 3*y, -2685 = -y + 2*y + 2*w. Let c = y - 16521. What is c rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -2*r**3\/3 + 9. Let n(y) be the first derivative of y**4\/6 - y - 1. Let s(b) be the first derivative of n(b). Give s(i(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = -71 + 85 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28960799 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315902 and 274.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from bwvwkzzevzzvwvz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - ((5 + -1*sqrt(176))**2 + sqrt(176))) + sqrt(132)\/((-4*sqrt(84) - sqrt(84))\/sqrt(7)).\nAnswer: -201 + 199*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + z**2 - 9*z**2 + (z**2 - 2 + 2)*(2 + 2 - 2) + 12*z**2 - 8*z**2 - 286*z + 198*z + 4*z**2 to v*z**2 + s*z + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + 26*y - 57. Let t be c(3). Solve -3 = 2*a - g - 9, 0 = -t*a - 5*g - 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*c**3 + 259*c**2 - 259*c**2.\nAnswer: -92*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(1302\/(-24))*(-3990)\/76?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(19)) + (-1*sqrt(209) - sqrt(209) - sqrt(209) - sqrt(209))\/sqrt(11).\nAnswer: -2*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 = -3*y - 10*z, -10*y - 29 = -0*y - 5*z + 91 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**5*q + 18*m**3 - 25*m**2*q + 250*m*q - 1 wrt m?\nAnswer: 20*m**3*q + 108*m - 50*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -12*i - 80. Determine o(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40795553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 67*h**5\/4 - h**3\/6 + 62*h**2 + 189*h. Find the second derivative of s(d) wrt d.\nAnswer: 2010*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4*2*(-1 - 235). Let g = n + 275. List the prime factors of g.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 + 8*w**3 - 16*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0, -5.\nAnswer: -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(2)*5*-2) - (-2 + sqrt(6)\/(sqrt(300) + sqrt(3)))**2.\nAnswer: -486\/121 + 29*sqrt(2)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/27 and -98\/165.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 69*q**2 + 3*q - 2. Let u(i) = i**2 + 12*i - 3. Let z be u(-12). Let y be o(z). Let m = y + -345. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -135, -138, -143, -150?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1 (c) 0.013\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 1, 20 in increasing order.\nAnswer: -5, 0, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7319255 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Let s(w) = -w + y*w**2 + 3*w**3 + w. Let d(h) = -h**2 + 3*h**3 - h**3 - 3*h**3. Give 4*d(r) + s(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 10891.9\nAnswer: 108.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 425745205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 56 = 1708. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/182)\/((-1)\/7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -473 - -473.02. Put t, -0.2, 5, 1\/4 in ascending order.\nAnswer: -0.2, t, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 4. Let t(u) = -6*u + 11. Let c = -255 - -260. Suppose -3*b + 0 = 5*m + 9, -15 = c*b + 3*m. Let i be 1\/(-4) - (-33)\/4. Give b*t(p) + i*r(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 - 6*f - 7. Let k(z) = -2*z**2 + 7*z + 4. Let s(i) = -i**3 + 9*i**2 - 29*i - 15. Let v(y) = 9*k(y) + 2*s(y). Give -6*v(l) - 5*x(l).\nAnswer: 2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3619*c**3*g**4 + 160543*c**3 - 15*g**4 with respect to g.\nAnswer: 14476*c**3*g**3 - 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, -16, -3.\nAnswer: -16, -3, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 4*i - 4. What is o(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71517\/20 + 3577. Let i(s) be the second derivative of -s + 0 + 0*s**3 + 0*s**4 - a*s**5 + 11*s**2. Differentiate i(w) wrt w.\nAnswer: -69*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-10 - -8) + 0 + 12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -107 + 99 + (-2 + 2 - 2 - -20) + 24\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.51 + 2.4. Let o = 5.11 + p. Let g = 0.2 + -0.1. Which is the closest to 1? (a) -1 (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 1 - 5 - 4*c**2 + 7*c + 0 + 7*c**2. Let t be n(4). Solve 0 = -2*w - 3*x, -t*w = -w - 3*x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(11) - (sqrt(11) + (sqrt(11) - sqrt(11)*2))))\/(3*sqrt(48)) + (1*sqrt(5) + 1 + 1)*1.\nAnswer: 2 + 13*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -41682.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*c + i + 3, 17 = c + 3*i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t, -5*t + 561020 = -6*w + 2*w. Let o = 1220255 + w. Suppose -o = -0*r + 6*r. Round r to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 1 + 2. Let k(p) = -p**3 - 7*p**2 - 7*p. Let y be k(-6). Suppose h*n - y = n. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/125 (b) -0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28520*-4.\nAnswer: -114080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/36*(-3)\/(-2). Suppose 3*u + 16 = -2*d, 26*d = u + 24*d. Which is the biggest value? (a) f (b) -1\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 53\/4 of a tonne?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 9 = 1. Let f be (63\/(-27) + 2)*3. Let q be ((-1)\/1)\/f + (-5520)\/5060. Sort q, 0.5, 4\/5, i in decreasing order.\nAnswer: i, 4\/5, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighteen fifths of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 13. Suppose -3*m - 5*y - 20 = 0, -m + 3 = -2*y - v. Suppose -4*d + 8 + 0 = m. What is the greatest common divisor of d and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 14\/7) + (4 - -1). Solve 0 + h = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**2 - 403*v + 5800. Calculate g(29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - u. Let c(r) = -r**3 + 26*r**2 + 101*r + 569. Let t be c(30). Let f(d) = -2*d**3 - 3*d**2 + d - 2. What is t*f(n) + 3*g(n)?\nAnswer: 2*n**3 - 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/5 - 4*v**2\/5.\nAnswer: -2*v**2*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/62697 - 34587853\/125394. Is y less than or equal to -275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**2)**(-2\/71))**(-3\/13)\/(((b**3*b)\/b*b)**(2\/31))**45 assuming b is positive.\nAnswer: b**(-331722\/28613)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 10:50 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7579, -7526, -7409, -7210, -6911, -6494?\nAnswer: -5941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(5\/7))\/t**(-12)*(t**(-3)\/t)**(2\/9))**4 assuming t is positive.\nAnswer: t**(2872\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 282\/67 - 403\/1608. What is the common denominator of s and -28\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20102121 (base 3) in base 12?\nAnswer: 2867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 70?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97013 (base 13) to base 15.\nAnswer: 55ace","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6164159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*j - 20*j - 23*j)*(-j + j - 2*j - 1) to s*j + x + p*j**2 and give s.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-5))\/(14\/70). Let j = -0.9 + 5.9. Let f = j + -5.4. Which is the third biggest value? (a) f (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/2 + 20257326*a - 68393209445046.\nAnswer: -3*(a - 6752442)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let p(q) = 315827025*q. Determine d(p(r)).\nAnswer: -315827025*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 10, x: 4, r: 2, k: 1}. Give prob of sequence rbx.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239228262, -478456524, -717684786, -956913048?\nAnswer: -1196141310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818655.2 nanometers to meters.\nAnswer: 0.0008186552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + sqrt(10)\/sqrt(2)) - (1 + sqrt(500) - -1*sqrt(5)*-5) - (-3*sqrt(15)\/(sqrt(3) + 1*sqrt(3))*-2 + 2))**2.\nAnswer: 180*sqrt(5) + 581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 a when three letters picked without replacement from aaxxaxxx?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -8*o + 5*s, 399*o + 5*s - 15 = 394*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21, -5, -1 in ascending order.\nAnswer: -21, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6\/(x**(-2\/19)\/x)*(x**(2\/7)*x)**(11\/8) assuming x is positive.\nAnswer: x**(9441\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + j**2 - 2*j + 1. Let m be f(-5). What is m rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 21*f + 12. Let m be t(12). Suppose 18*a = 10*a + m. Solve 3*l + a = -9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4547847.1 times 0.2?\nAnswer: -909569.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-27))\/((-1090)\/327).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41071 - -88232. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 + -50.01. Let k = t + 49.5. Round k to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133944254*x**2 + 66908*x + 3188.\nAnswer: 267888508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k + 3*k - 4*k)*(k**3 - 3*k**3 + k**3 + (0 - 2*k**2 + 0)*(-6*k + 6*k - 10*k)) as n*k**3 + w*k + g + i*k**4 + a*k**2 and give i.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 102, 77, 42, -9, -82, -183, -318, -493?\n\"Answer: -n**3 + n**2 - 21*n + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25486.318852817 plus -0.1?\nAnswer: 25486.218852817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250000 rounded to the nearest 10000?\nAnswer: -1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**4 + 10*u - 1. Let h(j) = -5399*j**4 + j**2 + 11*j + 7. Let t(l) = -h(l) - 8*o(l). Find the third derivative of t(g) wrt g.\nAnswer: 129384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -17. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hreewwf. Give prob of sequence weer.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 285570 or 284058?\nAnswer: 285570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 7 - 3 = -g, 4*g = -3*m - 11. Solve 4*k + 19 = -3*c, -7 = m*c + 3*k - 2*k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 5) + 5 - 9) + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, 1984960 in descending order.\nAnswer: 1984960, 10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217956 is divided by 54?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 6. Let v(o) = o**2 + 7. Let h = -81 + 124. Let m = -49 + h. Let z(w) = m*v(w) - 7*a(w). Let r(f) = -54*f**2. Calculate r(z(x)).\nAnswer: -54*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a factor of 821637811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 10:12 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2, 381\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/6*0)\/2. Suppose 0 = -3*h - 5*q + 4, q = -h - r*q. Is h at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 43936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -226*d**7\/7 + d**4\/4 - 21*d**3\/2 + 29*d + 12. What is the third derivative of v(n) wrt n?\nAnswer: -81360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211200012021 (base 3) to base 15.\nAnswer: 8c37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 136841 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/245*-5)\/(369\/21). Sort -0.04, 2\/3, b in descending order.\nAnswer: 2\/3, b, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5 = 3*q - 6, n - 8 = q. Suppose -n*u + 1610 = 5*m, 0*m - 647 = -2*m - 3*u. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19454 divided by 2?\nAnswer: -9727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -54*z - 541. Let h(s) = 21*s + 180. Determine -11*h(g) - 4*r(g).\nAnswer: -15*g + 184","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 3*m**2 - 3*m - 2. Let x(n) = -n**3 - n**2 + n + 1. Let c(r) = -3*i(r) - 7*x(r). Give c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2 + -3) - -28. Let g(w) = -4*w - 73. Let u be g(-25). Suppose u*d = j*d. Solve -4 + d = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*6*2*(sqrt(5) - (sqrt(5) + -1*sqrt(5))*6 - (-4 + sqrt(5) + 0))*-3 + 2)**2.\nAnswer: 21025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(1\/50)\/(a**(-2\/7))**(12\/11))\/((a\/(a*(a*a**(-2\/5))\/a)*a)**(-2))**(-1\/11) assuming a is positive.\nAnswer: a**(13\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**5 - 379*r**4 - 2*r**3 + 4*r**2 + r + 11004 wrt r?\nAnswer: -120*r**2 - 9096*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-276)\/(-627) - ((-24)\/(-6) + (-3638)\/935)*5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -351\/2 + 174. Put -2\/5, t, -1\/2, 7 in increasing order.\nAnswer: t, -1\/2, -2\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-133650)\/72171*(-36)\/(-10)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*d + k + 1 = 97*d, 3 = -3*d - k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 - 46. Calculate the remainder when 4\/(-18) - (-335)\/9 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -34*d**3 - 19*d**2 + 103*d + 2. Calculate c(3).\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1866446840.\nAnswer: 2, 5, 97, 481043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(0 + (-1)\/1). Let k be (n - -1) + 2 + -3. What is the units digit of (4 + k)\/(2\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 37. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*a - 99, 2*p + 870*a - 869*a = 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -381202761 equal to -381202761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(2\/23))*y*y)\/y)\/(y\/y**(-5))*(y**(21\/5)*y)\/y*y*y**2*y*y*y assuming y is positive.\nAnswer: y**(588\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 plus 0.01?\nAnswer: 309.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58360.6917 or 0.1?\nAnswer: -58360.6917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.289043979 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*-1*4\/((-64)\/(-12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 55*y**2 - 580*y + 261. What is c(64)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -3 + -2 + 4. Suppose 2*l - 5*l - 27 = -4*j, f = 5*j - l - 20. Factor 10*a**2 - 2*a**5 + 6*a**j + 4*a - 1 + 1 - 2*a**4.\nAnswer: -2*a*(a - 2)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321968720.\nAnswer: 2, 5, 23, 233, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/70*-4*259\/111. Factor 2\/15*b**2 + 4\/15 - y*b.\nAnswer: 2*(b - 2)*(b - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28.32 and -8135.\nAnswer: -230383.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15981, -15986, -15995, -16008, -16025, -16046, -16071?\nAnswer: -16100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*j**2 - 64*j**2 + 37*j**2 + 32*j**2.\nAnswer: 37*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 2*s**2 - 10*s - 7. What is f(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 10 = 2*m, -4*b + 13 - 8 = -3*m - 18 + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3803, -15218, -34249, -60896, -95159, -137038?\nAnswer: -186533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-nine fifths of a meter?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -15*n + 6. Let z(t) = t - 1. Calculate -r(b) - 4*z(b).\nAnswer: 11*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -3163?\nAnswer: -4\/3163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 - 238 = 37*h. Solve 0 = -5*l + h*z + 12, -z = 14*l - 16*l + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -243*t + t**5 + 243*t + (-t**3 + 2*t**3 - 3*t**3)*(2 - 2*t**2 - 2).\nAnswer: 5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.027, 0, 31, -4?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1192794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 185 - 183. Let c(n) = -n**3 - 4*n**2 - 2*n + 4. Let g be c(-3). Let v = 4 + g. Calculate the remainder when v is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/2 - 4*g**2 - 19*g\/2 - 5 = 0. What is g?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -57304*k - 4. Let v be q(-1). Round v to the nearest 1000.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895450 < 895450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 w when three letters picked without replacement from {s: 1, a: 1, y: 2, w: 1, f: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - t = 2*t + 11, -t - 2 = s. Suppose 3*k = -3*z + 27, -4*z + 5*k = z - 5. Solve -z*y + s = 21 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by (1 + 0)\/((-4)\/(-172)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17 - 36 + 426*l**2 + 380*l + 19 wrt l?\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 1. Let b(d) be the third derivative of 2*d**5\/15 - 7*d**3\/3 - 343*d**2. Give b(v) + 12*s(v).\nAnswer: -4*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 51256*s - 256277. What is l(-5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 9 = 69. Suppose 6*o - 11*o = 5. Let v be (-2 - o)*r\/(-3). Solve l = 5*b + v - 2, -5*b = 2*l + 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 11:04 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41 + a164?\nAnswer: a123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30165 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 90. Let z = t - 30. What is the remainder when z is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2) + (-14)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/45*8 + (896\/(-126))\/16.\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44771834*x**2 + 26209587*x wrt x.\nAnswer: 89543668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 1.3. Let w be (-480)\/288*(-2)\/(-5). Which is the closest to k? (a) -4 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058837607 a multiple of 1906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.166471 rounded to the nearest integer?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 11:49 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/5))**6\/((a\/(a*a\/(a\/a**(-3\/5)*a)*a))\/((a\/(a**(-16)*a))\/a)) assuming a is positive.\nAnswer: a**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1685, -6728, -15131, -26894, -42017?\n\"Answer: -1680*i**2 - 3*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67755806381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 42 = 23*z, -5*z = 17026 - 17036 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3))**37*(j**(3\/5))**(-1\/32))**48 assuming j is positive.\nAnswer: j**(-5929\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, t: 2, i: 1, l: 1, p: 1, b: 2}. What is prob of picking 1 b, 1 i, 1 l, and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4451.\nAnswer: 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1 + 0) + -9. Suppose 2*o + l + 67 = 10, -4*o - 117 = l. Let p = m - o. What is the highest common divisor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -42. Let o(q) = 4*q - 5. Let k be o(4). Let h = 8 - k. What is the closest to 4 in h, x, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -60, -165, -362, -681?\nAnswer: -1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h**3 - 28*h**2 - 14*h - 45. Let z(v) = 5*v**3 - 13*v**2 - 7*v - 19. What is 4*k(l) - 9*z(l)?\nAnswer: -l**3 + 5*l**2 + 7*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66197 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -130, 6, -1, 24, -6, 4 in ascending order.\nAnswer: -130, -6, -1, 4, 5, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -14. Suppose -n**5 + 9*n**3 - 2*n**5 + 3*n - 2*n**4 - l*n = 0. Calculate n.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -11, -5, 1, 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 divided by -4?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 6 + 6 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 4*k + k. Let n be (-1)\/(-4) + (-14559993)\/k. Round n to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 25*d**2 + 165*d - 906. What is j(19)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/18)\/((-4)\/6). Let f = -3.44 + 4. Let s = f + -0.06. Which is the third biggest value? (a) o (b) s (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302 - 1355 = -88*m + 631 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y*y\/(y\/y**(-2))*y)\/y*y)\/y*y)\/y*y)\/(y*y*y**2))\/(y*y*y*y**(2\/7)*y*y*y**(2\/11)*y*y*y) assuming y is positive.\nAnswer: y**(-960\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2508 and 272476644?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r + 2*r**2 - 3*r**2 + 7 + 0*r**2. Suppose 95 = -6*d + 53. Let x be a(d). Is x less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -841814054 or -841814053?\nAnswer: -841814053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -197\/258258 and 25\/132.\nAnswer: 516516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2623.317 hours to microseconds.\nAnswer: 9443941200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 - -444. Suppose 0*b + 16*b - l = 0. Calculate the highest common factor of b and 165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 20 = 0, c - 2*t + 1 = -4. Suppose -c*l - z = -17940, 3*l - 17949 = 3*z - z. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664420245 is divided by 1224?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-285)\/(-133))\/((-15)\/10*(-78)\/(-78))\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddjqcdz. What is prob of sequence jcd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.11, 0.5, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 511\/9 + 14\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 7. Let y be r(13). What is the third derivative of 32*j**2 - 16*j**6 + 2*j**y + 2*j**2 wrt j?\nAnswer: -1680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 z, and 2 v when four letters picked without replacement from vzzovzvzzvzzzzvzzzzz.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5 - 1. Let h be o\/(-92)*(-8)\/(-6). What is the second smallest value in -2\/3, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -69, -105, -141, -177, -213?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339078?\nAnswer: 2, 3, 31, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*s = 12, o + 3*s = -s + 14. Let m(t) = 144*t**2 - 4*t + 2. Let y be m(o). Round y to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -5 (c) 2 (d) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 + 14 + 15)*(342*j - 48*j**2 - 342*j) in the form x + q*j + m*j**2 and give m.\nAnswer: -2736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84905.92um to nanometers.\nAnswer: 84905920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2432 - 0.1?\nAnswer: -2432.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 429\/60 + 28\/(-70) + -7. Let r be (2\/(-8))\/((-6)\/(-8)). Which is the nearest to r? (a) t (b) 0.1 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1627.\nAnswer: 325.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-287)\/(-164))\/(1\/24). Which is bigger: 37 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/2)*(p*p**(6\/7))\/p*p)\/((p*p\/((p\/p**(3\/13))\/p))\/p**13) assuming p is positive.\nAnswer: p**(2571\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 5*w + 9. Let t be m(-2). Suppose 21 = t*q - 7. Let q*o**2 - 8*o**2 + 2*o**2 + 2*o = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**3 - 90*g**2 - 480*g - 800 = 0.\nAnswer: -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 0.1 (b) -4 (c) 0 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 5*t - 1. Let j be p(7). Calculate the lowest common multiple of 8 and j*(2 - 39\/15).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -18*m + 3*m + 2 - 11*m. Let x(r) = -r**3 + 49*r**2 - 39*r - 392. What is the remainder when q(-6) is divided by x(48)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - s**2 - 5*s**2)*(-5*s**3 + 2*s**3 + 2*s**3 + (-1 + 1 - 2*s)*(49*s - 10*s**2 - 49*s)).\nAnswer: -57*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000676718 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 11*q + 20. Let i be j(4). Solve -5*d - l + i = 0, 5*d - 14 = -l - 2*l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/10)*h*h**(2\/81)*h assuming h is positive.\nAnswer: h**(1559\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/177684 and 41\/18.\nAnswer: 533052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 z when three letters picked without replacement from fdqmdmfmdddzdzzz.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*q - 24 = 0, -493*u + 5*q = -496*u - 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1574497, -3148991, -4723485?\nAnswer: -6297979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417609 is divided by 1625?\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162)*3 - (-1 + sqrt(162)*-3))**2*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*w - 111*w + 303968 = -21*w. What are the prime factors of w?\nAnswer: 7, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -25*j**2 - 20*j - 15. Let s(k) = -k**3 + k**2 - k + 1. Suppose 23 = 12*t - 37. Let p(y) = t*s(y) + z(y). Find f, given that p(f) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 142, -0.11, 1, 2, 13?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 + 119. Suppose 13 = k*i - 5*t, 4*i - 9 - 22 = -t. What is the smallest common multiple of 10 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 10*r - 7. Let z = -6 + 14. What are the prime factors of s(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x + 5*x)*(0*x**3 + 0*x**3 + x**3) + 0*x**4 - 2*x**4 + 3*x**4 + 2*x**4 - 2*x**4 + 2*x**4 + (-5 + 1 + 2)*(-1 - 3*x**4 + 1).\nAnswer: 10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 666, -197, 8, 1, -1 in decreasing order.\nAnswer: 666, 8, 1, -1, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 8, -2*n - 2*i - 8 = 0. Let f = -53.4 + 51.4. Which is the third smallest value? (a) n (b) 2 (c) 3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -2285.\nAnswer: -685.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.728 and 0.1.\nAnswer: -1.1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**3\/5 + 1398465*y**2 + 27969264*y\/5 + 27969252\/5 = 0.\nAnswer: -2330771, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29*(-2)\/1015)\/((-3)\/3).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2821 divided by 4454.\nAnswer: -2821\/4454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaffaoozozofnazf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3\/2 + 780*q**2 - 1595*q\/2 - 4695.\nAnswer: 5*(q - 3)*(q + 2)*(q + 313)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-480)*3)\/((-3)\/4)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*sqrt(39)\/sqrt(3).\nAnswer: 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 10 - (-9 + 6)) + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116510 (base 8) in base 4?\nAnswer: 1021311020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n + 9. Let v(w) = w + 2. Let q(d) = -2*o(d) + 9*v(d). Let l(m) = 8*m**2. Determine q(l(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 i when three letters picked without replacement from {c: 3, k: 5, i: 4}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 1:03 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/29818 + 454477\/1475991. Calculate the common denominator of 85\/44 and n.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 26 = -4*l, -y = 4*y + 25. Suppose g - 4*n = n + 92, l*n = -3*g + 200. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1891 + -1890.996. Round h to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 14*m + 20. Let x(g) = 3 - 1 + 0 + 11 + 9*g. Let o(d) = -8*x(d) + 5*y(d). Let r be o(0). Let z(s) = -2*s - 2. Determine z(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 9) to base 6\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, d: 11, g: 3}. What is prob of picking 1 m, 1 d, and 1 g?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 minutes after 8:26 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -330 - 1135. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 + -0.15. What is the nearest to 0.1 in 0.5, g, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373434.\nAnswer: 2, 3, 109, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k - 7. Let c be u(-2). Solve c = 4*m + 19 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}