diff --git "a/data/dm_maths/full_data_2/2177_11255.jsonl" "b/data/dm_maths/full_data_2/2177_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2177_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -1152*p**3\/5 + 4752*p**2\/5 - 860*p + 140 = 0 for p.\nAnswer: 5\/24, 1, 35\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/4, 3225, -4\/217?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w - 4*b, -5*w = 4*b - 18. Suppose 0 = w*i + 2*i - 28. Calculate the remainder when i is divided by 5\/((-40)\/(-42)) - (-8)\/(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*j = 12, v = -4*v + 4*j + 21 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 862612*o**2 + 5875020?\nAnswer: 1725224*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008055 to seven decimal places.\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -15*n**5\/4 - 10*n**4\/3 - 35*n. What is the third derivative of b(f) wrt f?\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 610*q - 357*q - 5313 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 0. Let t = q - -1. Solve -2*g + 5*j - t = -3*g, 3*j - 8 = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o. Let u(l) be the third derivative of 77*l**6\/720 + l**4\/24 + 16*l**3\/3 - 46*l**2. Let h(s) be the second derivative of u(s). Calculate h(a(x)).\nAnswer: 77*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - s - 36 = -3, 13*s = -6*f + 35 - 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.2 + 4.71. Let q = 3.51 - w. Suppose -2*j - 3*j = 0. Sort -2, j, q, -0.3.\nAnswer: -2, -0.3, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by -5439.\nAnswer: -1\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5837.562 - 68.038. Round s to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 - 17 - (86 + -7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/(-21))\/((-8)\/28). Let g(w) = -w**2 + 7*w - 9. Let v be g(a). Suppose 2*x + 26 = v*x. What is the remainder when 75 is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23505490646935311.75000121 - 23505490507960934. Let o = d - 138974376. Let j = o - 1.75. What is j rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 2*l**2 - 5 - 3 - l**2 in the form z*l**2 + u + x*l and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**2 + 14*i + 15. Calculate f(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 0*j = -j + 14, 4*d - 3*j - 8 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 91078 and 1?\nAnswer: 91077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**5 + 425*q**4 - 3525*q**3 + 8075*q**2 - 7250*q + 2280 = 0.\nAnswer: 1, 6, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -454 not equal to -322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: c5127 (base 14) to base 5\nAnswer: 110144233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 169*t**3\/15 + 3159*t**2\/5 + 59049*t\/5 - 2285. Factor o(r).\nAnswer: (13*r + 243)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from {k: 1, i: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -56.\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000063379 rounded to 6 dps?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d = -29*d - 6. Let x(f) be the first derivative of 1\/2*f**4 + 0*f**d + 0*f + 6 + 5\/2*f**2. Find the second derivative of x(b) wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -3380097?\nAnswer: -338009b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24270.4 + -24270. Put 3, -11.1, -4, 4, k in ascending order.\nAnswer: -11.1, -4, k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**2 - 3. Let t = 181 + -169. Let w(n) = -7 + 48*n**2 + 6 - t - 23*n**2. Give -26*d(z) + 6*w(z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*d = 10*d + 3202 - 4562 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 9 = 4*r, -4*r + u + 8 = -3. Suppose r*q + q = 280. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 1:28 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/21? (a) -2\/7 (b) -3 (c) -0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1044 - -2222. Does 31 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-12))\/((-14)\/63).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -148083 - -148084. Let h be (3\/(-7))\/(6\/(-4)). Which is the closest to 5\/2? (a) v (b) h (c) -4\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1288022 - -1288027.816815. Let d = h + -5.82. What is d rounded to four decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46328.\nAnswer: 2, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 10. Suppose r*w = 37 + 7. What is the lowest common multiple of (-18)\/(-6) + -2 + 3 and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*m**2 + 945*m - 1842.\nAnswer: -3*(m - 2)*(4*m - 307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzzzzvvvvvvzzpzpzvpp. Give prob of picking 2 p and 2 v.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, a: 4}. Give prob of picking 4 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 2, 971.\nAnswer: -4, 1, 2, 971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1062154 and 4.\nAnswer: -4248616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-8)\/6)*(-15 + 3). Let x = 24 + k. Differentiate -x - 3*v**3 - 11 + v**3 + v**3 with respect to v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/231*-182 + -36.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - 1.6. What is the third biggest value in 0.3, h, -5\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 121910*z - 3715512025.\nAnswer: -(z + 60955)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*l - 2088 = 22*l - 154*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-10)\/(((-35)\/(-140))\/((-1)\/(-2))))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4348 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdbddppdbdmddbbdd. Give prob of picking 4 d.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 4, -6, 2, 1265.\nAnswer: -9, -6, 0, 2, 4, 1265","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19862*a - 5974 wrt a.\nAnswer: -19862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-32)*-4*-2. Let j(c) = -15*c - 5. Calculate j(t).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 1\/180*b**5 + 0 - 2*b**2 + 1\/6*b**3 + 0*b - 1\/540*b**6 + 1\/18*b**4. Let w(k) be the first derivative of i(k). Solve w(p) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 370 + -335. Calculate the remainder when j is divided by (3 - 2)\/(2\/38).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/25)\/(8\/20). Let d be (-5 - 87\/(-9)) + c\/3. Solve 0*m + 8 = -m + 4*k, 5*k - d = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11787799.\nAnswer: 23, 283, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**5\/5 - 3*n**4 + 24*n**3\/5 - 12*n**2\/5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6*8\/1. Solve 0 = 3*t - 15, 0 = j*l - 3*t + 2*t + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 20*d - 4*d + 60 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let l = 98 + -225. Let h = 122 + l. Which is the third smallest value? (a) o (b) h (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/6 (b) 6 (c) -0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*s - 98 = -3*x, 5*s = -3*x + 147. Suppose -4*y = -3*d - x, 5*y + 4*d - 17 = 52. What is the greatest common divisor of y and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 7*y**4\/6 + 19*y**3\/6 - 39*y**2. What is the remainder when a(2) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -31. Is 378\/n + -1 + -2 + 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1070 - -1055) + 1 + -9?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 12:50 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 120, 138, 162?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(1*sqrt(2)) + sqrt(25)*1*1)\/((sqrt(245) + sqrt(245) + 1*sqrt(245)*4)*1).\nAnswer: sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2569484 is divided by 214123?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 8*w + w - 5*w.\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 8*x + 12*x - 3196, 5*x - 2387 = 3*b. Let i = b + 806. Solve -v + c + 1 = i, -3*v - 35 = 5*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 11*n - 7. Let u be k(-2). Suppose -4*s - 9 = -29. Suppose -s*w + z = -7 - 4, 2*z = 8. Solve y = -5*f - u, 10 = 2*f + y + w*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 10. Let o = k - -5. Let m = 0 - 2. What is the nearest to m in -0.4, o, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 5 + 4*j**2 + 3*j**3 - 6 + 5*j + 1. What is the remainder when l(2) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -52, -61, -58, -43, -16, 23?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/2, 5, -1\/4, 0.4, 0.13, -117\/5, -15\/4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -1\/15*o**5 + 1\/6*o**2 + 1\/6*o**4 + 3*o + 1\/90*o**6 - 4 - 2\/9*o**3. Let v(i) be the first derivative of c(i). Factor v(y).\nAnswer: (y - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.55 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -554 + 553. Let r be 5*((-18)\/10)\/3. Sort m, -23, r in ascending order.\nAnswer: -23, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 x, and 2 f when four letters picked without replacement from {x: 3, l: 1, f: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, 1\/2, 0.077, 109, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -106, 0, 3 in decreasing order.\nAnswer: 4, 3, 0, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 7*u - 70 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/4 - (-2)\/(-1). Let i be 6\/7*2\/4. What is the second biggest value in -1\/3, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -23a9477a?\nAnswer: -23a9477c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10112211100 (base 3) to base 10\nAnswer: 69858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/382415 and 129\/179960?\nAnswer: 3059320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*g = -15, 2*x + 5*g + 0*g = 15. Let q be 139 - 145 - (106\/(-22) + -1). Which is the biggest value? (a) q (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -975 + 969 + (0\/1 - 1133)\/(-1). What is the greatest common divisor of 2093 and o?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-134)\/26 + 14\/91. What is the units digit of (-513)\/b - 1\/15*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -251 - -376. Let c be q\/45 + 4\/18. Suppose -256 - 329 = -5*p + 5*y, c*p + y = 335. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 61667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 94798489 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/6)\/((-20)\/8). Sort o, -3\/8, -0.4 in increasing order.\nAnswer: -0.4, -3\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7656 and 14036.\nAnswer: 84216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*c - 28, -c = -5*v + 2*c + 5. Solve -5*a**v - a - a + 6*a**4 - 3*a**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-561)\/(-27) - 4\/(-18). Let y = -4 + c. Suppose -3*m - 11 = -y. Solve -i - 5 = m*i - 5*o, 2*i + 1 = o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 2*h + 9. Let o be x(5). Let u = 57 - o. Let d be 74\/10 + (-7)\/(140\/u). Solve 0 = -2*q + 3 + d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*p + 6, 4*g - g + 4*p = -8. Suppose -m + 6 + 11 = g. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + s = 254, 2*s = s + 2. Let g be -2*(-1)\/7 + i\/294. Suppose g = 4*j + 3*f - 577, 0 = -f - 2*f - 3. Does 29 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**2 + 0*t**3 + 0*t - 1\/560*t**8 + 0 - 3\/200*t**6 - 3\/350*t**7 - 1\/100*t**5 + 0*t**4. Factor i(j).\nAnswer: -3*j**2*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-two fifths of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4226, -4041, -3712, -3239?\nAnswer: -2622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7797.\nAnswer: 3, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 12*i**2 + 3*i + 53. Let a be (-16)\/6*324\/72. Let u be b(a). Solve s = 4*p - p + u, -5*p + 5 = 5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4970835?\nAnswer: 3, 5, 36821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, j: 4, r: 5, c: 1}. What is prob of picking 1 j and 1 t?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.04400864 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30762 + -7229019\/235. Find the common denominator of j and 17\/5.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsssy. Give prob of picking 2 s and 1 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 8*d - 11. Let w(k) = -15*k + 309. Let f be w(21). Let o(j) = j - 1. Give f*o(n) + b(n).\nAnswer: 2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**1*a))**19*(a**0\/a)**49 assuming a is positive.\nAnswer: a**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -12) + (5 - (-4 - -2)) + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -993*k + 40749. Determine v(41).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -26. Suppose -4*t = -0*y + 5*y - 34, 4*y + 3*t = 27. What is the remainder when y is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(168)*2)\/sqrt(2))\/(4*-3*sqrt(12)))**2.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 75\/4 (b) -24 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 g when four letters picked without replacement from guquqqquq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 12:01 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/1261 and -31\/12998.\nAnswer: 168974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f**3 - 2*f**2 - 3*f + 5. Calculate the smallest common multiple of 25 and v(2).\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 5*n**4\/24 - n**3\/2 + 5*n**2. Let y be r(8). Let c = -27 + y. Solve -c = o - 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*b - 61219, 8*m - 3*b + 123379 = 25438. Which is smaller: m or -12242?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.332752 times 790\nAnswer: 262.87408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-6)\/9)*(-780)\/(-80).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - d - 1)*(-7*d**3 + 2*d**3 + 3*d**3) + 17*d**4 - 33*d**4 + 2*d + 18*d**4.\nAnswer: 4*d**4 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -87, 15, -4 in increasing order.\nAnswer: -87, -4, -2, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 114 = 53*o. Sort -4, o, 5, 4 in descending order.\nAnswer: 5, 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*s + 112*s = 3232 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -62?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 3. Let x be c(-7). Suppose 4*d = d + n - 10, x = n. Is d at least as big as -11\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83254?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -24\/67 (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 - 2*u**2 - 3*u + 5. Let i be o(2). Let r = i + -11. Solve 0 = -2*q - 2, -r*w = -0*q - q - 21 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 - 5*t**2 + 3*t**5)*(4 - 3 - 2) + (-4*t - 5*t + 4*t)*(20*t**4 - 9*t**4 + 3*t**4).\nAnswer: -73*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8601 divided by -183?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nineteen quarters of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5010117221?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/18 and 99\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 280797, 561544, 842249, 1122912, 1403533?\n\"Answer: -21*h**2 + 280810*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-84))\/((-51)\/272)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16 + -10.84. Let m = h - -10. Let g = 0.99999976 + m. What is g rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-32)*-9)\/(-3).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1099 divided by -513791\nAnswer: 1099\/513791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1382*s**2 - 5541*s + 4. Give m(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 21\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*n + 16 = 0, -3*a + n = 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -622881580.\nAnswer: -622881580.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6*(-11 + (-234)\/(-36)). Suppose -4*g = 5*s - 26, 13 + 1 = 2*g + 3*s. Suppose 1 = 2*l - 17. Put l, g, w in decreasing order.\nAnswer: l, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 103\nAnswer: 5\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -3. Let k = 5 - q. Let b(w) = 4*w**3 + 9*w**2 - 11*w - 5. Let n(s) = -2*s**3 - 4*s**2 + 5*s + 2. Let l(v) = 3*b(v) + 7*n(v). Give l(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4592155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1031997*m**2 - 144*m - 2801?\nAnswer: 2063994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/99 and -71\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3*v. Suppose 3*i + 17293 + 53366 = v. Let y = i + 55553. Round y to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -24*l + 21*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466468593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from huhhuuuuuhhuuhhhuhu?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6 (b) 2 (c) 10.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 676102 * 0.2.\nAnswer: 135220.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n = -288. Suppose -k + f = 3*f - 11, n = 4*k + f. Calculate the remainder when k is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 0)\/(6\/(-12) - (-1)\/(-2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 745*p**3*w**4 + 1598*p**3*w + 7*p**2*w - 2*p - 64*w**4 - 1 wrt w.\nAnswer: 8940*p**3*w**2 - 768*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -42.7, 0.3 in increasing order.\nAnswer: -42.7, 2\/15, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + 0*n)*(0 + 2 + 1).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-39 - 3)*-1*1.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 0.198.\nAnswer: 16.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(6 - 27) - (-4)\/6. Suppose -6 = -4*k - 22. Which is the smallest value? (a) 0.5 (b) h (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 e when three letters picked without replacement from qqvtoqkqeqqqkkkq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 16*g - 40 = 21*g, -3*g - 266 = -5*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 120636, 120633, 120630, 120627, 120624?\n\"Answer: -3*j + 120639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5384)\/(-32) - 1\/4. Let c be (m\/98)\/((-2)\/(-119)). Is ((-3)\/2 - 0)\/((-3)\/c) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*1*-6)\/(2*(sqrt(12) + (sqrt(108) + sqrt(12) - sqrt(12)) - sqrt(12))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dggvdvggvgddgggvddg. Give prob of picking 3 d and 1 g.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 97. Let t = 40.8 + l. Let k = 39 + -37. What is the second biggest value in -25, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -852762300 divided by -170552460\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 180976771?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + (-38 - -49) + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5718, -4667, -2908, -435, 2758, 6677, 11328, 16717?\nAnswer: 22850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 676 and 9126?\nAnswer: 18252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + v**3 + v**2 + (-2*v**2 + v**3 + 2*v**2)*(3 - 2 + 0).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 363 by -675.\nAnswer: -121\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 62*t + 1092. Give j(-84).\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + b + 2*m + 56, -4*b + 4*m + 52 = 0. Suppose 0 = 4*u - s, 4*u - b = 2*u + 3*s. Is -3\/19 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-10))\/((-1)\/(-4)). Let y be -2*(-1 + p)*-2. Suppose -u + 0*f + 5*f = -9, y*f = 5*u - 24. Calculate the least common multiple of u and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*l + 7508 = -6*l, -2*g + 3020 = 4*l. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 640*o + 17140. Determine k(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 10*d - 4. Let s(n) = n**2 - n. Let x(i) = q(i) + 4*s(i). Suppose -38 = -4*t - 18. Calculate the remainder when x(t) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**2 + v. Let h be b(-1). Let f be -2*((-63)\/h)\/(-7). Solve 6*o + 5*o**2 + 2 + 5*o**3 - 3*o**f + o**2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/3*(-3)\/(-2). Suppose 5*p - 5*u - 15 = 0, w*p = 3*u + 13 - 3. Let o(n) = 2*n**2 - 4 + 1 + 4*n**3 + 2. Give o(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-61564)\/(-44) - ((-8)\/44)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -85*m**2 - 1580*m + 8581. Determine l(-23).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -203289?\nAnswer: -203291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -281*i - 14075. Give v(-50).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20244 - 124?\nAnswer: 20120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 5*f - 3. Let s be a(-5). Put -2, s, -5 in ascending order.\nAnswer: -5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 151 - 71 - 80 + 156*w in the form n + r*w and give r.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 12602?\nAnswer: 12603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 2 = -11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 3*t + 2. Let j be l(3). Suppose j*q + 99 = 5*q. Let x = q + -20. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**2*n**2*x - b**2*n*x + 11*b**2*x + 20*b**2 - 889323*b*n**2*x - 84*b*n - 3*b + n wrt n?\nAnswer: -6*b**2*x - 1778646*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7227 + 7229. Solve f - 22 + 19 = n*l, 0 = 3*l - 3*f - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 184076, 184145, 184334, 184703, 185312, 186221?\n\"Answer: 10*t**3 - t + 184067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 3009919977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19\/(-95) - 1\/(-15)*8. Let s = -0.6 - -0.5. What is the nearest to -0.1 in y, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xoooxxoxooxooxxo?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 4*t + 4. Let c be m(-3). Let p = 25 + c. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*((16 - 7) + (-52 - -42)). Let t(g) = -g**2 + g. Let w(r) = -12*r**2 + 2. Let h(y) = 4*t(y) - w(y). Calculate h(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1804031?\nAnswer: 19, 94949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 117, 217, 297, 357, 397?\n\"Answer: -10*b**2 + 130*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 8*m - 20. Let g be z(-2). Let y be 6*(-5)\/(-30)*g. Factor 2\/3*k**2 + 1\/3*k**5 - 1\/3*k + 0*k**3 + 0 - 2\/3*k**y.\nAnswer: k*(k - 1)**3*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 30, 36?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87780.36ug in tonnes?\nAnswer: 0.00000008778036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 8*i - 17. Determine j(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + f**2. Let w(p) = -4*p**3 - 3*p**2. What is -6*r(a) - 2*w(a)?\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -652 or -4561\/7?\nAnswer: -4561\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 72*s + 70*s - 595272. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*i**3 + 67298*i**2 - 67298*i**2 - 336*i**3.\nAnswer: -375*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r + 1. Determine o(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + 34 - ((41 - 10) + -36 - -17).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 17*z**2 + 39*z - 111. Let k be t(3). What is the highest common factor of k and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 7. Let f be 21\/(-7) + u + 1. Let o be -4 - f - (-44)\/2. What is the highest common factor of 19 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 24 = -2*f. Let u(l) be the third derivative of l**4\/12 + l**3\/3 - l**2. What is the lowest common multiple of f and u(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*n + 2454 + 2099 = 3193 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-7)*12236\/(-304) and 65\/1461.\nAnswer: 5844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 12:06 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 129\/602*(3 + 52\/(-12)). Let d be 6064\/(-42) + (-2)\/(-3). Let o = d + 144. What is the smallest value in o, v, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165202626 (base 7) to base 2.\nAnswer: -101011001101110110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/3213 and 139\/32130.\nAnswer: 32130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -777729 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*i - 572*i - 18 = -3*c, -5*c + 31 = 2*i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*m - 28 = 4*d + 207*m, 5*d = -4*m - 44 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/120 and 91\/432?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1117, -1118, -1119, -1120?\nAnswer: -1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/7390504 and -111\/88.\nAnswer: 7390504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, j: 3, g: 1}. Give prob of sequence jjjk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*c = -4, -c + 2*c = -3*f - 2. Suppose 2*y - 5*y + 6 = f. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.40752 to 2 dps.\nAnswer: 1.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(65)*2)\/(sqrt(25)\/(1*sqrt(5))))**2 + -4.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 1, -0.5, 5, -1904, -0.4?\nAnswer: -1904","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**2)**(3\/4))**(2\/7) assuming y is positive.\nAnswer: y**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.8853 + 0.1147. What is the biggest value in 0, -2, -0.3, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.015 and 316959483381.\nAnswer: 316959483380.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.31, 2\/341, -4, -98, 3\/2 in decreasing order.\nAnswer: 3\/2, 1\/3, 0.31, 2\/341, -4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 47*k = -105*k + 18739621. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*n = -1722*n + 1335 - 37207 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2*j + 1 = -3*v + 18, v + 11 + 3 - 18 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1100 by 5.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 - 3*g**2 - 2*g + 6. Let x be m(-6). Let p = x + -173. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-64)\/(-208))\/(36\/78))\/((-1)\/(-3)). Solve -6*u - 7 = -q*y + 13, -y - 10 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from qqnqozoqq?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/516032 and 32\/8063.\nAnswer: 516032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 714.2285 decades in years?\nAnswer: 7142.285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279663 is divided by 213?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 367676 and 40596?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33615 - -33618. What is the biggest value in 0.4, -293, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 522 = 2*x, 7*t = 4*t - 2*x + 510. What is the remainder when 70 is divided by (t\/(-5))\/(-4) + 16\/40?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130456*v = 130542*v - 5762 for v.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as 521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -5, 213, 163.\nAnswer: -5, -3, -2, 163, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 100\/56 + 4\/(-14)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - -13. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(117))**2 + -2.\nAnswer: -6*sqrt(13) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 17*u**3 - 109*u**2 - 11*u - 411. Determine c(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 85 = 17*p, -3*p + 10 = 4*f - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**3\/6 - 2*w - 2. Let a(c) be the first derivative of o(c). Let m(k) = k**3 - 2*k - 1. Calculate 3*a(n) - m(n).\nAnswer: -n**3 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 9*y - 100. Solve 0*b + y = -4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*q + 5*m, 3*q = 2*m - 2 - 2. Suppose x + 45 - 12 = q. Is -34 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 332448.\nAnswer: -19\/332448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 2*s + 3*s - 4*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m - 130. Let c be b(26). Let h be (c - 2)\/2 + 11880\/33. What is h rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 314821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, 0.3, 2\/13, 25?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 112 - 122787621\nAnswer: -122787509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(4 - 4 + z**3)*(-6*z + 11*z - 10*z) to the form d*z + c*z**2 + r*z**3 + a*z**4 + u and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3 = -o, o - 5*q = 5*o - 12. Suppose g - z - 35 = 0, g + o*z - 90 = -g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + -0.03. Let i = 5 - h. Is 1 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4094109 by -1364703.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*t**2 - 39198*t + 538*t**2 + 308*t**2 + 39198*t.\nAnswer: 752*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-449*t**4 + 34478*t - 34478*t)*(0*t - t + 3*t).\nAnswer: -898*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1011753, -1011749, -1011743, -1011735, -1011725, -1011713, -1011699?\n\"Answer: h**2 + h - 1011755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 23?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 - 2*k + 8. Let t be s(10). What is the remainder when 21 is divided by (-2)\/(-9) - t\/54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 7*w**2 - 7*w. Let f be 3*-7 - (6 - 3). Let u be ((-32)\/f)\/((-1)\/18). Let m = 18 + u. Give b(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 + 247*b**2 - 144*b + 1895. Give n(123).\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213980438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 5*w = -15, -2*k - 7*w - 29*w + 108 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(833) - sqrt(833)))**2 + 3*(sqrt(833) - -2*sqrt(833)) + (-6*(sqrt(833) - 3*sqrt(833)*2))**2.\nAnswer: 63*sqrt(17) + 749700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*g + 158*g = 318*g - 200 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*o - 19. Let u(n) = n**2 + 6*n - 5. Let z be u(-6). Let y = -2749 + 2749. Put 2, o, y, z in ascending order.\nAnswer: z, y, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 39, 189, 439, 789, 1239, 1789?\n\"Answer: 50*i**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a milligram in micrograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*m + 9, -2*v + 7*v - 15 = 4*m. Suppose 5*s = -j + 70, 360 = 5*j + v*s + 98. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-344)\/(-3440)*(10\/(-2))\/(-1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9403 + 9441. Let g(v) be the first derivative of -d - 2\/3*v**3 + 0*v**2 + 0*v. Let m(x) = -11*x**2. Calculate g(m(l)).\nAnswer: -242*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -83063 - 3?\nAnswer: -83066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2721 plus -153350?\nAnswer: -156071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + x**5 + 4*x)*(104 + 183 - 68).\nAnswer: 219*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.26309 centimeters in kilometers?\nAnswer: 0.0003926309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**4 + 28930348*p**3 - 42*p + 294595?\nAnswer: 24*p**2 + 173582088*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 476643 or -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 3629518389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*h + 26860 + 62240. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91.3 - 91.2. Which is the nearest to y? (a) 0.1 (b) 3.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2631 divide 27428175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5379 = -6*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-3)*40\/(-8). Let n be (-1 - 0)\/((55\/(-60))\/11). What is the greatest common factor of n and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2931*v**5 + 1292*v**2 wrt v?\nAnswer: -175860*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12466208 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6635, -26371, -59207, -105107, -164035, -235955, -320831?\n\"Answer: 6*q**3 - 6586*q**2 - 20*q - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*u**3 - u + 43*u**3 - 23*u**3 + u.\nAnswer: 41*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2 - 1 + d + 1 + 5*d - 8*d. Let h(z) be the first derivative of -z**2\/2 - z + 15. What is 3*c(k) - 4*h(k)?\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*t = -0*f + 58, -3 = t. Suppose 0 = -3*k + f - 4. What is the highest common factor of k and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -94758*c. Let m(u) = 312*u. Determine z(m(v)).\nAnswer: -29564496*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -522 + 150441444?\nAnswer: 150440522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 6. Suppose z = 5*s - 14. Suppose r = n - 6*n + 30, -4*n = -3*r - 5. Solve -3*g + 6*g = -n*h - 40, -g + s*h = -15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4) + (-232)\/(-32). Let o be 4\/(-28) - 13\/m. What are the prime factors of o\/3 + (-718)\/(-6)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -41*k + 7. Let v(y) = 55*y - 9. Let w(b) = 4*l(b) + 3*v(b). Let g be -7*((-2)\/(-2) + 0). Calculate w(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/30 - (-11)\/5. Suppose -3*w + g - 6*g = -51, -i*w - 4*g + 36 = 0. Calculate the highest common factor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*1 - 1) + -6 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(5 + -4)*(-26)\/(-1). Let w = a + 105. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4429.644 millennia to decades.\nAnswer: 442964.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 6, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -1131946286078.\nAnswer: -1131946286078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 30 = 10. Suppose -4*z = -4 - o. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1196 divided by -8.\nAnswer: 299\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 4*l - 17 = -1138*w + 1142*w + 19, 0 = 5*w - 6*l + 49 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*x + 2479 = -961 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 1. Let y(x) be the first derivative of 8*x**3\/3 - 10*x**2 - 20*x + 4791. Suppose -3 = -4*v + 1. Give v*y(t) + 20*i(t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 313*r**9\/504 - r**7\/210 - 807*r**5\/20 - 2487*r**2. What is the third derivative of s(n) wrt n?\nAnswer: 37560*n**3 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -18565903.\nAnswer: -7426361.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + 123*n**2 + 22*n - 12125. Calculate v(60).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5210819033 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (6 + (5 - 7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84596435 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 13*r**5\/2 + 15077*r**4\/2 + 2184860*r**3 - 504600*r**2 = 0.\nAnswer: -580, 0, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/19 - 20952*p\/19 - 54873288\/19 = 0.\nAnswer: -5238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eerrrzerere. Give prob of sequence ze.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93745629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + 33?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = 11 + 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 406714*f**2*y**2 - 28*f**2*y - 780*f**2 - 3*y - 2 wrt y?\nAnswer: 813428*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/30 - (-611)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 11:50 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 - 668*w**2 - 1709*w**2 + 1 + 33 in the form t*w**2 + a*w + p and give t.\nAnswer: -2377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0408250035 rounded to 4 decimal places?\nAnswer: -0.0408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -331 + 799. Suppose 3*r + 5*g - u = 0, -2*r + 4*g - 6 + 340 = 0. Let i = 30 + r. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -12*((-173586)\/(-88))\/(-21) - 4\/22 and 343?\nAnswer: 7889","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 32 = i - 3, 2*c = 5*i + 5. Suppose c = -0*r + 3*r. Solve -4*v + r*v = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -607, -14, 2, 5, 2\/7, 4\/5 in descending order.\nAnswer: 5, 2, 4\/5, 2\/7, -14, -607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -623, -616, -607, -596, -583?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20392, -40800, -61206, -81610, -102012?\n\"Answer: a**2 - 20411*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 8*k**2 - 2*k - 8. Calculate the remainder when 36 is divided by m(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 6*p**2 - 2*p - 3. Let g be t(-3). Is 39 a factor of (2178\/(-15))\/(g\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85.0436 - -1.9564. Sort x, -0.2, -0.1, 0.3, 1\/6 in ascending order.\nAnswer: -0.2, -0.1, 1\/6, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z**3 - 5*z**2 + 4*z + 1. Let p(q) = -4*q**3 - 5*q**2 + 4*q + 1. Let t(j) = 4*p(j) - 3*y(j). Is t(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25026017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -315072.788 rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, e: 3}. Give prob of picking 2 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55582, -111126, -166670?\n\"Answer: -55544*o - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -6*j + 9\/2*j**2 + 0 + 1\/3*j**3. Give z(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.4 - 4.61. Let v = -0.03 - x. Let k = v - -4.82. Sort -1\/7, -2, k.\nAnswer: -2, -1\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 47*s**2 + 52*s - 29*s**2 - 104*s + 51*s.\nAnswer: -76*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 5 + 2)*2 + 3*sqrt(6)\/(sqrt(10)\/sqrt(5)))**2.\nAnswer: 140*sqrt(3) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - (-47808683)\/2730 - 2\/(-21). Let z = l + -17523. Find the common denominator of z and 11\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1600501 + -2519501. What is c rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 4 (b) 2 (c) 3\/4 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*f - 4*m, 3*f - 4*f - 5*m = 26 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 105 = -4*h. Which is smaller: h or 22?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98502705 by 124845.\nAnswer: -789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-4*w**5 - 3*w**5 + w**5) + 4*w**5 - w**4 + w**4 + 4*w**5 - 7*w**4 + 7*w**4.\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -62. Suppose 17*g - h = 13*g. Suppose 4*r - 5 = 15. Solve -r*y + 5*q = 20, -3*q = y - 1 + g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006398 micrometers in meters?\nAnswer: 0.000000006398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22617 - 22543. Calculate the greatest common divisor of 276 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19 + -17 - 14\/(-2). Let h = y - -63. Calculate the greatest common factor of 96 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (77 - 66 - (28 + 2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-55)*10516\/64052.\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*f**2*g**2 + 235*f**2 + 4*g**3 wrt g?\nAnswer: 18*f**2*g + 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 7:03 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1072*y - 2115. List the prime factors of i(-5).\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 12*s**3 + 11*s - 11. Let q(j) = 7*j**3 + 6*j - 11. Calculate 3*k(a) - 5*q(a).\nAnswer: a**3 + 3*a + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uoho when four letters picked without replacement from {u: 4, o: 2, h: 4}?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.7533798 hours to weeks.\nAnswer: 0.075912975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -24130 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5594*g - 2343*g + 6389*g - 11616200 + 157*g**2 - 318*g**2 + 159*g**2 = 0?\nAnswer: 2410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16774.9056us to days.\nAnswer: 0.000000194154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 408*m - 411*m + 2*t, 2*m = -5*t + 49. Factor -1\/4*j**m + 1\/2*j + 0 - 3\/2*j**3.\nAnswer: -j*(2*j - 1)*(3*j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 - (33 + (-22 - (53 + -124)))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-900)*-8 + (-6)\/6*0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.49 + 5.99. Which is the closest to k? (a) -3 (b) 0 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**6\/30 - 75*t**5\/4 - 29*t**4\/12 - 21*t**2\/2 - 1708*t. Find the third derivative of i(k) wrt k.\nAnswer: -24*k - 2250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116051047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -b - b + 4*n, b = -4*n - 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*z = -6, 0 = 9425*g - 9426*g + 2*z + 1 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -1.7. Let l = -0.361 - -1.361. Put 3, y, 1\/4, l in ascending order.\nAnswer: y, 1\/4, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -571412, -571410, -571408, -571406?\n\"Answer: 2*s - 571414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006867 to six dps.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**4 - 1888*d**3 + 209924*d**2 + 3056872*d = 0. What is d?\nAnswer: -13, 0, 238, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.446 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 + 92. Calculate the remainder when 85 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 851.4 + -851. Let r = 0.1 - -0.4. Which is the second smallest value? (a) 5 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.315663ml?\nAnswer: 0.003315663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 12 = 11. Let w = v - -2. What is the lowest common multiple of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 31835184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264 and 330.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -63*v + 185 + 97. Solve v*k - 9 = -4*l - 14, -2*k + 5*l = -12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + (4 - 6))*0. Suppose k = 3*n - 11 + 2. Let z be (50\/(-15) + 4)*n. Solve x + 1 = -z*c - 3, 4*x - 8 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -563 or -554?\nAnswer: -554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*b**5 + 1042*b**3 + b**2 + 1083*b + 426 wrt b.\nAnswer: -720*b**3 + 6252*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6048*f**3 - 6047*f**3 + 41*f - 84*f + 43*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/8)\/((-4)\/16). Suppose x = n*x - 216. What is the smallest common multiple of -2*((-28)\/20 - (-261)\/90)*-4 and x?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 1. Let n = -2 + f. Suppose -v + 27 = n*o, -2*v - 3*v = -o - 7. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9251146, -18502294, -27753442?\nAnswer: -37004590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {y: 6, z: 6}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2301.7185 - -35.4715. Let z = -2324 + t. Let u = -12.5 + z. What is u rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = i + 60514, -3*n + 88039 - 27529 = -3*i. Let d(k) = -20172 + n + k**2. Let q(t) = 4*t + 13. Determine q(d(l)).\nAnswer: 4*l**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**2 + 1426644*l + 5706512 = 0.\nAnswer: -356657, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -271, -649, -1179?\nAnswer: -1861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhrnb. Give prob of picking 1 n and 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29153, 58145, 87137, 116129, 145121?\nAnswer: 174113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1101111001010011101111 (base 2) to base 4\nAnswer: -31321103233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -8. Let m = z + 10. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 - 249 = 53*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31 - -24)*(-28467)\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 83596, 83587, 83576, 83563, 83548?\n\"Answer: -q**2 - 6*q + 83603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81608?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26741381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -4. Let t = -23 - p. What is the tens digit of (-20)\/10*(-41)\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0*u + 0 - 10*u**2 + 0*u**3 + 0*u**4 + 1\/15*u**5. Let o(t) = 4*t**2 - 2*t**2 + 2*t**2. What is n(o(p))?\nAnswer: 64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**2*u**2 - 3*l**2 - 18372*u**3 - 2637 wrt u?\nAnswer: 2*l**2*u - 55116*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 169216.71 to the nearest 1000.\nAnswer: 169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**2 + 38*h - 9. Let m be l(6). Let f be (-370)\/(-111) + (-4)\/m. Calculate the greatest common divisor of f and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*2)\/3*93\/310*-10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 238\/(-77))*2\/4. Which is greater: 0.2 or m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 700 and 120.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwwwwrrwwwwwrm. Give prob of picking 2 w and 2 r.\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-14) + (-6)\/(-14))\/((-49)\/441).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 68. Calculate the greatest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (1189\/(-232) + -2 + 2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18 (b) -190 (c) 5 (d) 2\/7 (e) 2 (f) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0459 - -0.2459. Which is smaller: z or -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*7.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + (sqrt(468) - 6*(-1 + sqrt(468)))*4)**2*1)*2.\nAnswer: -11040*sqrt(13) + 375466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(25)\/(-1*sqrt(5)) + sqrt(45)\/(sqrt(54)\/sqrt(54)) - (-2 + 0 + sqrt(80) - sqrt(55)\/(sqrt(99)*-6)).\nAnswer: -37*sqrt(5)\/18 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*a**2 + 262*a**6 - 30*a**2 - 252*a**6 wrt a?\nAnswer: 1200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70245 is divided by 70224?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7846*l + 31283. Determine r(4).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 99 - 101 = 3*h, -1 = 3*h + k. Solve 0 = -2*i + 2*b, 3*i + 3*b - 8*b - 10 = h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*t**2)*(-3*t**2 + 4*t**2 - 2*t**2) + (-153 - 26*t**4 + 153)*(-1 + 1 - 1) - t**4 - t**4 + t**4.\nAnswer: 23*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8 - 5\/(-4). Let y be (v\/1)\/((-2)\/(-8)). Suppose y*w - 1 = 11. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0 - 2 = -w, 0 = x. Let j be w\/(-16) + (-11)\/(-24). Which is the nearest to 3\/4? (a) 0.3 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, h: 1, v: 2, q: 3, x: 5}. Give prob of picking 2 v and 1 q.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(171) + -3 + (sqrt(114) - 4*(sqrt(114) + sqrt(114)*1 + sqrt(114)))\/sqrt(6).\nAnswer: -8*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25)\/sqrt(5) + sqrt(5))*5 + sqrt(5))**2 + sqrt(5) + sqrt(15)\/(sqrt(15)\/sqrt(5)).\nAnswer: 2*sqrt(5) + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116826089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 2*o - 1. Let q be r(-1). Suppose q = -2*z - 23 + 115. What is the remainder when z is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2\/7 (c) -224\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -3 (b) 1\/2 (c) -0.4 (d) -4 (e) 0.0508\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 10*u. Let p(w) be the first derivative of -5*w**3\/3 - 440. Give p(x(r)).\nAnswer: -500*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 49 - 305. Does 32 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -455469, -455455, -455441?\nAnswer: -455427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 603.\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/4)\/(12\/(-72)*3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**5\/120 + r**4\/24 - r**3\/6 - 3*r. Let o(p) be the second derivative of a(p). Find the first derivative of o(x) wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4) - (-38)\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwc when three letters picked without replacement from nfnfhhycnwnnfnnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102 + -1121021012?\nAnswer: -1121010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1132164 rounded to two decimal places?\nAnswer: -7.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-40 - 1) - (-14 - (-97 + 88))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - p**3 + 1715*p + p**3 + 52*p**2 - 1715*p.\nAnswer: 2*p**3 + 52*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 27 = 3*y, 5*o - 6*y = -9*y + 99. Calculate the highest common factor of 369 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -72 (b) 0.031 (c) 103\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**(-6\/5))\/p)\/p)\/p**(-21) assuming p is positive.\nAnswer: p**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**6 + 265*a**4 - 5*a**2.\nAnswer: -240*a**3 + 6360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 at least as big as -116253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 1 - 10 = 0. Let p(a) = 2*a**3 - 2 + 0*a**2 + 3 - 4*a**2 + 0*a**2 - a. Let k be p(y). Calculate the greatest common divisor of k and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.19794 and -0.4?\nAnswer: 4.079176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -h + 4*h - 135268. List the prime factors of h.\nAnswer: 2, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 v when four letters picked without replacement from {l: 3, j: 1, e: 4, v: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-9)\/27*-6 + 12\/9. Which is the nearest to 1? (a) -1\/12 (b) j (c) 0.2 (d) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**3 - 3*n**3 + 0*n**3)*(2*n + 2*n - 2*n) + 0*n**4 + 0*n**4 - 2*n**4 in the form p*n + b*n**2 + s*n**3 + d*n**4 + y and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2000 + 124?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*(-2 + sqrt(425) - sqrt(425))**2*-1*2 + 2).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2 and -23\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393055 is divided by 130747.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(180) + -2)**2.\nAnswer: -36*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 65*w**4 - 789 wrt w?\nAnswer: 260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-2)\/2)*1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 0*n**2 - 1\/15*n**6 + 0 + 0*n**3 + n + 1\/12*n**4 + 1\/20*n**5. Factor z(a).\nAnswer: -a**2*(a - 1)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/36)\/((-1)\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**3 - 70*z. Let q(v) = 5*v**3 - 138*v. Let u(m) = 6*q(m) - 11*w(m). What is the second derivative of u(y) wrt y?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (770\/(-4))\/((-6)\/12). What is the greatest common divisor of 35 and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/1374 and -79\/634065.\nAnswer: 290401770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/10968000 and -97\/20800.\nAnswer: 142584000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -c - 12*c + c**2 - 4*c - c + 9*c**3 + 3*c**3 as j*c + x*c**2 + r*c**3 + m and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**5 - 138*c**4 - 2292*c**3 - 16728*c**2 - 52992*c - 55296 = 0. What is c?\nAnswer: -16, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9024 + -257. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-764)\/20 + (-16)\/20. Let u = 13 - m. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -8, 17, -2\/9, -0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*a - 23*a - 27*a + 53*a to the form x*a + w and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(220)\/sqrt(5))**2 - sqrt(44) - (0 + 0 + sqrt(11) - (sqrt(11) + 1 + sqrt(11))**2*4).\nAnswer: 4 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 2*p + 3*p - 3*p.\nAnswer: 2*p + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -198\/19 - -1481\/133. What is the closest to 2 in -0.2, -1\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccu when three letters picked without replacement from {u: 3, h: 1, c: 4, a: 12}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5019675.32 rounded to the nearest 100?\nAnswer: -5019700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16245643?\nAnswer: 31, 524053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 140? (a) -8 (b) 1 (c) -5\/3 (d) 0.122 (e) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(-4 + 4 - y) + 0 + 2*y + 0 + 2362*y + 5431*y + 1836*y - 2087*y.\nAnswer: 7545*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**12)\/(x**15*x))\/(x*x**10*(x**(2\/29)\/x)\/x))**(-1\/13) assuming x is positive.\nAnswer: x**(321\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1289762?\nAnswer: 2, 644881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 9:17 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 285413*w**4\/4 + 44*w**3\/3 - 2*w**2 - 3*w. Let k be v(4). What is k rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1375196.\nAnswer: 2, 343799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3566*y**3 + y**2 - 12*y + 15. Is w(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*(sqrt(147) + 0) + (sqrt(147) - (sqrt(147)*-4 + sqrt(147))*-1 - sqrt(147)) + sqrt(147) + sqrt(147))**2*5.\nAnswer: -11760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-12105))\/(125\/(28875\/(-154)))?\nAnswer: 2\/269","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20218908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*n + g, 4*g + 104 - 92 = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -7, -547406, 5 in descending order.\nAnswer: 5, 3, -5, -7, -547406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9471039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmem when four letters picked without replacement from {w: 4, e: 3, u: 4, d: 2, m: 3, f: 4}.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.653 + -0.143. Let j = b + -7.25. Round j to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 23*w + w**3 + 10 + w**3 + 3*w**3 = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6648 divided by -1662?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 6*a - 1. Let h be u(-5). Let o be (-4)\/6*h\/22. Let k = 6.5 + -6. Sort o, 0.1, k.\nAnswer: 0.1, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 7*o + 4. Let j be r(7). Suppose -4*f - 3 - 16 = x, 0 = 5*x - j*f - 25. Let y = -2 - 1. What is the nearest to 1\/4 in 1\/4, y, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 16) to base 14.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 21, 1\/240, -2, 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/((-2)\/(-3) - 0 - 0). What is the hundreds digit of 27\/((3\/a)\/1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 763 (b) -2\/15 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4 + 3*y**2 - 4 + y**3 + 2 + 4*y. Let d be h(-2). Does 3 divide (-48)\/(-30)*(-5)\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**4\/12 + 7*k**3\/6 - 3*k**2 + k. Suppose -2*i = -2*z + 13 - 3, -z - 2*i = -2. Give l(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 766481\/19 + -40341. Let l = -1 + 0. Which is greater: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -12 (c) 1\/5 (d) 0.01 (e) 6112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -60548, -107400, -154252?\n\"Answer: -46852*y - 13696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 8\/15, -0.5?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-4 - 0) + (55 - 58).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*z + 187680 = -170*z - 395430. What are the prime factors of z?\nAnswer: 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14616*n + 13806*n - 43167*n + 13923*n.\nAnswer: -822*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/4 of a meter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1550 and 13.7?\nAnswer: 1536.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 345*h**2 - 1045*h**2 + 351*h**2 + 348*h**2 + 120*h in the form v + j*h**2 + w*h and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 140706*a**2 - 1407393*a - 1548096.\nAnswer: 3*(a - 11)*(a + 1)*(a + 46912)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 399, 401, 399, 393, 383, 369, 351?\n\"Answer: -2*o**2 + 8*o + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) -3\/4 (c) 3198 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -84 in 2, 0, -0.4, 4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90279703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -135\/4, 4, 0.37, 4\/17?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -15.9. Let y = -0.9 - -1.4. Let s = 162\/805 - 4\/35. What is the nearest to -1 in d, s, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 247613.6 tonnes?\nAnswer: 247613600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) 2\/11 (c) -835 (d) 4 (e) -1\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-5 - 1) + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39\/2 - -21. Let z = -86 - -89. Which is the biggest value? (a) g (b) 8 (c) z (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -64, -6516.\nAnswer: -6516, -64, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 515044\/40 + -3 + (30\/(-100))\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 3*o**4\/2 + 2*o**3 + 3*o**2 - 6*o + 18. Let k(s) = s**2 + s - 1. What is -6*k(w) + y(w)?\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 843120*w - 843003*w - 3861 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 82 = 4*i. Find the third derivative of -w**2 + i*w**3 + 6*w**2 - 35*w**3 wrt w.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*c**3 + 19*c**3 + 32 - 36 - 8*c**4 + 2*c in the form g*c**4 + z*c + p + f*c**2 + t*c**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.77, 3\/13, -445.\nAnswer: -445, -0.77, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**3*m**3 - 9*k**3*m**2 + 2*k**3 - 155*m**4 - 2*m**2 wrt m.\nAnswer: 12*k**3 - 3720*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -4. Let o = h - -1. Let m = 21 + o. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7168, 14224, 21282, 28342?\nAnswer: 35404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*l = 189, 5 = -4*l + 13. Let x be (1 + 0)\/(j\/244140). Let q = -3397 - x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 3*(-19)\/1. Let p be v\/6*(-3 - -1). Suppose -2*h - 5 = -p. Solve -3*z + h*z = 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/3 - -421)\/(2 - 1). Let s = -404 + r. Calculate the remainder when ((-71)\/(-2))\/((-2)\/(-4)) is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + r - 2. Let j be c(2). Suppose j = a - 3*a. Let l be a*464999 - (1 - -1). Round l to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 - -30) + -11 - (-12 - -2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -421 at least -421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 274*p - 125*p - 132*p + 251*p**2 in the form r*p**2 + k + f*p and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 32*h - 20. Let c be q(14). Calculate the greatest common divisor of c and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1533\/438)\/((-35)\/910).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -25. Suppose -z*c + 656 = -1354. Suppose -1112 + c = -5*i. What are the prime factors of i?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*2\/(-133) - 0) + 54\/152.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*a = -18, -5*n + a - 4 + 18 = 0. Suppose -4*t + 16 = 2*m, -2*m + n*t - 2 + 6 = 0. Solve 0 = -m*u - 4 - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/12 - 114\/(-18). Solve -4*f - 5 = s, 2*c - 10 = 4*f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1 = 97. Let w be (-45)\/(-4) - (-6)\/i. Let n = w + -7. Solve k - 1 = 0, -n*f + k + 2 = 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 5*c + 39 = 0, -108*w + 156*c + 858 = 158*c for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-1\/2)\/a*a*a)**(-12)*a**2\/a**1 assuming a is positive.\nAnswer: a**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3, 0*q = 5*h + 3*q + 4. Let m be (3\/(-2 + 5))\/h. Solve -m - 4 = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 3*u**2 - 4*u + 6. Let l = 55 + -40. What is the remainder when l is divided by b(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*k - 523952 = -84*k + 480618. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*m + 260*m - 5216562 + 5216564.\nAnswer: -11*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7943715 micrograms to tonnes.\nAnswer: 0.0000000000007943715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 7, y: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2589778336 to the nearest integer?\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 20 = -47*b + 46*b, 0 = -4*b + 4. Solve -2*d - 3*p - 7 = f, -4*d - p - 8 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - c + c**4 + (2*c**2 + c - c)*(-2*c**2 - 2*c + 2*c) + 0*c**4 - 4*c**4 + 2*c**4 + 83*c**4 + 74*c**4 - 91*c**4.\nAnswer: 61*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 804 in 4, -0.07, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -7020.429 and -309871.\nAnswer: -316891.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.4 + 374.2. Let s = q + -457. Round s to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 325\/1252 - (6 + (-46)\/8). Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16052 and 580.\nAnswer: 2327540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2598 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2638011 + 6199369. Let a = l - 8837699.99771. Let v = 320 + a. Round v to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**5 - 65*p**4 - 170*p**3 + 240*p**2 = 0. Calculate p.\nAnswer: -8, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004099 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -11 + 21. Which is the second smallest value? (a) 0.1 (b) -5 (c) q (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {f: 3, y: 9, w: 2, j: 2}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -16*j - 22. Calculate d(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4396197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 4785525?\nAnswer: 33498675","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 249768 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 common denominator of 32\/5 and 43\/162?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**4 + 48*c**3 + 28*c**2 - 192*c - 176 = 0. What is c?\nAnswer: -11, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 8. Let k = 9 - f. What is the greatest common divisor of 10 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (0 + 0)\/(-3). Let w be 0*(-4)\/(-24)*3. Suppose 10*t - 40 = -w. Solve t*i + 5*k + 11 = 0, -5*i + 4*k + v = -16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l**3 + 4*l**2 - 4*l + 3. Let q be c(2). Suppose -6*a + q = -3*a. Solve -5*n + a = -5*i - 0*n, -5*n = -5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/914 and 41\/26.\nAnswer: 11882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 74*f + 185 = -79 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynj when three letters picked without replacement from {y: 1, x: 1, o: 2, j: 2, n: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*j - 64 = 0, -h - j - 37 = -2*h. Suppose 9*g + 182 = 12*g + 5*c, -3*g = 3*c - 192. What is the remainder when g is divided by h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69438084?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 6*p = 2*a + 26, 4*a = p - 22. Suppose 0 = p*g + g - 28. Solve 4*l = -g - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2386964, 2386965, 2386966?\n\"Answer: a + 2386963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.534322 - 26.532022. Let q = 26 + b. Round q to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84367645279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y = -34*y - 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-545)\/(-3) - 52\/(-156). Suppose 3*r = -5*l + 663 + i, -1423 = -5*r - l. List the prime factors of r.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740 take away 205998?\nAnswer: -205258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231342021.\nAnswer: 3, 43, 199261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 3*y + 12847 - 12851, -d - 3*y + 8 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3\/7 (b) 15971 (c) -2\/3 (d) -0.08 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -v, 2*v + 13 = -2*v - 5*q. Let x be (14\/(-4))\/(v\/(-4)). Let k(u) = u**2 + 7*u + 7. What is the least common multiple of k(x) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4719442*d**4 - 2864367?\nAnswer: -18877768*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 8. Suppose 4*t + 1 = 5*q, -2*q + 5 = -0*t + r*t. Calculate the lowest common multiple of t and -1 + 4 + -5 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -12*(-7)\/(-21) - -70 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 3*d + 24. Let y be 72*-140*(-25)\/d. Round y to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*r + 69 = 4*l, 2*l - 34 = -2*r. Let u be 2*(-4)\/((-24)\/141). Suppose 0*c + c = u. What is the remainder when c is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3385 to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 12378735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*w - 3*w - 41 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8792\/(-314) - (92\/(-16) - (-1)\/(-4))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 7*x**4\/12 + 37*x**3\/6 + 23*x - 4. Let t(p) be the first derivative of u(p). What is the second derivative of t(b) wrt b?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.57\nAnswer: -0.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1561, -3152, -4767, -6406?\nAnswer: -8069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4080)\/(-620)*(-20)\/(-6) - (-62)\/961.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4\/3, -0.4, -1, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f = -929*f - 10992 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*sqrt(72)*4.\nAnswer: -96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1011100 (base 2) to base 13\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/11)*h)\/(h\/(h*h*h**(-1\/7)))*(h*h**(-2))**(-38\/5)*((h*h**(-3))**(-15))**(-7\/11) assuming h is positive.\nAnswer: h**(-3779\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqglg. Give prob of picking 1 q and 2 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/55)\/(3\/(-420)*476\/(-170))\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 9*q + 9*q - 15*q - 4. Let i(l) = -2*l + 3. Suppose -3*c - 4*s + 21 = 0, -3*c + 4*s + 15 = 18. Calculate c*j(v) + 4*i(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 581508 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7705 and -16.681.\nAnswer: 128527.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 596041 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2279150 - 238850. Let r = -246277 - o. Let g = -677 - r. Round g to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/2 of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/2 of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = 0, 4*k - 4*x - 9 = 3. Let z(t) = -2 - 2 + 10*t + k*t + 1. What is the tens digit of z(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k - 112. Let b be w(6). Let t = b + 156. Suppose 0 = 2*x + 3*x - 15. Solve -t*g = x*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 1*sqrt(704))*-4 + (sqrt(704) - (sqrt(704) + 2)) + 2.\nAnswer: -64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 313 + -313.0691. Let g = 0.07 + x. Round g to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, a: 9, w: 3}. What is prob of sequence awa?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178548.\nAnswer: 2, 7, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3793866*m**5 + 569219*m + 2 wrt m?\nAnswer: 75877320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(0*q**5 - q**5 + 0*q**5) - 294*q**3 - 175*q**4 + 6*q**5 + 1431 + 175*q**4 - 1432.\nAnswer: 4*q**5 - 294*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from mmmmmmmmmhmmmhhm?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c. Let q(r) = 8115*r. Calculate l(q(m)).\nAnswer: 8115*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -53697, -107368, -161037, -214704?\n\"Answer: h**2 - 53674*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47308 + 47341. What is the remainder when (-82)\/(-3)*(-27)\/(-6) is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 170*x - 163*x. Suppose 24 = -x*r + 6*r. What is the highest common factor of r and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1736*d**2 + 3 + 1764*d**2 + 308*d**2 - 2*d + 4*d in the form z*d**2 + c*d + y and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*67.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x**2 + 2*x - 1. Let d(n) = -2*n + 10. Let q be d(6). Let y be b(q). Calculate the highest common divisor of 18 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*7*(-6*2)\/(-4))\/(1821\/(-1821)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 4. Suppose -3*f - 2*f + 48 = 2*i, 16 = 2*i - 3*f. Let n = i - 29\/2. Put n, -3, k in increasing order.\nAnswer: k, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 57*n + 63 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 9*l - 4. Let g be c(6). Suppose 20 = 2*d + g. What is the third smallest value in -2, 0.4, -1\/5, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14178671 is divided by 5975?\nAnswer: 5971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 7*s**2 - 9*s - 5. Let v be y(-8). What is the first derivative of -u**4 - 2 - v*u**4 + u**4 wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50546375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 10*g + 60. Suppose -90 = a - 3*a + 3*u, 3*a + 3*u = 120. Calculate the least common multiple of g and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/21 and (-47225)\/(-3390) - 42\/3?\nAnswer: 4746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 42883.\nAnswer: 42886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 8 = -r. Let l = -5 - r. Solve -1 - l = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 3. Let q = -29 - -27. Let y(x) = x - 1. What is q*w(c) - 6*y(c)?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h**3 + 10*h**3 - 18*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 886039?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-30)*(-27)\/18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 77*f**5\/5 + 82*f**3\/3 - 134. Find the third derivative of a(g) wrt g.\nAnswer: 1848*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-9))\/((-34 + -6)\/(-4)). Put -66, -3, -0.1, j in descending order.\nAnswer: -0.1, j, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 11:38 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1198 - -7171\/6. What is the common denominator of 35\/4 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1808765 - -0.16?\nAnswer: -1808764.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + -2*sqrt(405)*-4 - -3*(0 + sqrt(405))*1)**2.\nAnswer: -396*sqrt(5) + 49011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1466774 * 0.79.\nAnswer: -1158751.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17475 - -17695. Let v be (-4)\/14 + 142\/7. What is the highest common divisor of c and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-105)\/25 - -4) + (-9455)\/(-25760). Let w = q + -15\/644. Find the common denominator of -81\/40 and w.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9b0d6 (base 14) to base 7.\nAnswer: 66624356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*a - 6. Suppose 4*x - 21 = z, 5*z + 18 + 19 = a*x. Put -4, 5, z in decreasing order.\nAnswer: 5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79133964.\nAnswer: 2, 3, 7, 13, 72467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/(42\/9))\/(4\/48). Sort 4, 2, s.\nAnswer: 2, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 46 = -18. Put -1, c, -3, 0 in decreasing order.\nAnswer: 0, -1, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + a + a + (-3 + 3 + 2)*(0*a + 2*a + 0*a) + 3*a + 0*a - 4*a + a + a - 3*a + 0*a + a + 2*a + (-2 + 5 - 2)*(a + 2*a - a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 1. Let v be b(-1). Let g(l) = l - l**3 - 4 - 2*l**2 + l**v + 5*l**2 + 2*l**3. Determine g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43 + 43 - g)*(2*g + 0*g - g) - 2*g**2 + g**2 + 0*g**2 + 5*g**2 + 2*g**2 - g**2 + 2*g**2 + 2*g**2 - 6*g**2 to x + u*g**2 + i*g and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000139141662 rounded to seven decimal places?\nAnswer: 0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5180*r**2. Let n(u) = -2*u**2. What is n(s(i))?\nAnswer: -53664800*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5750 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/7)*a)\/a*a*a\/(a\/(a*a**(1\/25))) assuming a is positive.\nAnswer: a**(382\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2477*a + 7551. Let k be r(-3). Calculate the highest common divisor of 38040 and k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 12) in base 14?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32120 is divided by 868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**5\/5 + 3*b**4 - 38*b**3\/5 - 14*b**2 + 39*b\/5 + 11 = 0.\nAnswer: -1, 1, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 163869184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3468 - -5700. Is 62 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(10) - sqrt(10)*2) + 0 - ((sqrt(132)\/sqrt(48))**2 + -2).\nAnswer: -sqrt(11) - 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9021 (b) 277 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266b1 (base 12) to base 6.\nAnswer: -1044341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*s = 233*s + 42 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-372)\/(-18))\/(2\/3)*1. Suppose 0 = 5*r - o + 27 + 30, -3*r - o = y. Which is smaller: r or -58\/5?\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*q**2 - 34313856*q + 8170862 wrt q?\nAnswer: 6*q - 34313856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -56, -146, -274, -440, -644, -886?\nAnswer: -1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204979?\nAnswer: 204979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 9 = -2*w, 3*w + 5*p - 1 + 16 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2908143548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -13738032 equal to -13738032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 217155337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - -1 - (4 - 5). Let f be n\/6 + 26\/6. Solve -3*x + 9 = -5*v, -2*v + 3*v - 12 = -f*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1363, -4, -3, 6, 24.\nAnswer: -4, -3, 6, 24, 1363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - -7)*(0 + -1). Let f = l + 5. Factor -3\/4*t + 1\/2*t**3 + 1\/2*t**2 - 3\/4*t**4 + 1\/4 + 1\/4*t**f.\nAnswer: (t - 1)**4*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/21)\/(49\/(-1715)) + (0 - 6). Solve -o*v = -29*v + 150 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -119696.\nAnswer: -119695.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 95*b + 5*b**2 - 4*b**2 - 3*b**2 + 95*b.\nAnswer: -2*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 2003001101?\nAnswer: 2003001023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (1 + -1)) + 275. Suppose 4709*j - 1275 = 4692*j. What is the greatest common divisor of r and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, r: 1, h: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = -27*j + 29 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010011 (base 2) to base 16.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.4654 + 2.397. Round c to one decimal place.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -20*d + 17*d - 5*g, 3 = d + g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.32 - 0.02. Which is the fourth biggest value? (a) o (b) -2 (c) -2\/37 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 7. Find the second derivative of -5 - z*c**5 + 3*c**5 - 2*c + 5 wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by (-18)\/(-5) - 8\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 12:07 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/35 + 98\/(-70).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*3*-4 - -3*(sqrt(77)*4 - sqrt(77) - sqrt(77)))\/((-1*sqrt(35)*-3)\/(sqrt(405) - sqrt(405)*-1)).\nAnswer: -36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2506644938?\nAnswer: 2, 7, 1979, 90473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -16*x - 3*g - 21, -4*g - 8 = 0. What is the units digit of (-2379)\/(-65) - 2\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 402005975?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39767, 39847, 39975, 40151, 40375?\nAnswer: 40647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-j + 2*j + j) - 3 + 2*j + 3 + 2 - j - 2 - 126 + 2*j + 126 + 3*j + 4*j - 4*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3723*u**2 + 7337*u**2 - 3900*u**2.\nAnswer: -286*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahf when three letters picked without replacement from {a: 13, f: 1, h: 1, s: 2}?\nAnswer: 13\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93573275 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 3*y - 13. Let w(i) = -2*i**2 - 2*i - 2. What is k(x) + 3*w(x)?\nAnswer: -7*x**2 - 3*x - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4826, 4817, 4804, 4787, 4766, 4741?\n\"Answer: -2*c**2 - 3*c + 4831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a kilogram in grams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.7 - 22. Let s = 7.5 + a. Let y = -1.3 - -0.3. What is the fourth smallest value in -2\/11, y, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/6? (a) -2 (b) -5\/6 (c) -1 (d) -16\/5 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-19 - -26) - (3 + -1) - 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 33, -3, -59, -141?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.432, -3\/8, 0, -1, 0.05, -0.5.\nAnswer: -1, -0.5, -3\/8, 0, 0.05, 0.432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4 = 2*r. Let a = 121 + -119. Let z = 4 + -1. Solve g = -a*s + 5, r*s - 44 = z*g - 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -665 = 2*f - 7*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + -1 + -3)**2 + sqrt(288) - (sqrt(288) + 1*(1 + sqrt(288) + sqrt(288)) - sqrt(288))**2) + -3*sqrt(180)\/(sqrt(40)\/sqrt(4)).\nAnswer: -849 - 141*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252397 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*m**2 + 0*m**2 + 2 + 20*m**2 + 15*m**2 + 16*m**2 + 2 + 23*m**2.\nAnswer: -m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.87 + 8.07. Round p to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 20 = 0, 82 = -f - a + 76 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100200 (base 3) to base 9.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(700) + 3 + 3*(-2 + sqrt(700)))*-1)**2 + 5 + 0.\nAnswer: -8640*sqrt(7) + 403529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.04 and 0.471.\nAnswer: 0.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -35*a + 25. Let q(r) = 3*r - 2. What is -25*q(m) - 2*w(m)?\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w - 9 = 2*n, 5*w + 35 = -5*n. Which is greater: -31\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 224014?\nAnswer: -224012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23738.\nAnswer: 2, 11, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27272, 54547, 81822, 109097?\n\"Answer: 27275*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10137132 is divided by 844756?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5124 divided by -6\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.3, 0.06, 0.3 in ascending order.\nAnswer: -0.3, 0.06, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - g - 529, 0*q = -2*q + 5*g - 523. Let z be (-4)\/22 - (-128)\/q. Sort z, -8, 3.\nAnswer: -8, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - o - 6. Let v be r(-8). Let i = v - 37. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 22. Let k be (66\/(-77))\/(p\/14). Solve 2*o + o + k = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -11*p + 72 + 28, 5*p + 3*f - 56 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 17. Let r(n) be the first derivative of n**2 + 35*n + 1. Let a(h) = -9*c(h) + 4*r(h). Give a(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80040 and 196052.\nAnswer: 170565240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 30 = 42 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 18*o - 21. Let f(h) = -h**2 - 17*h - 22. Let m(g) = 3*f(g) - 2*x(g). Let a be m(-13). Solve -4*r = a*w + 20, 0 = -5*r - 20 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -81 + 4?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-7) + (-108)\/(-42). Suppose m - 31 = -r + 6*m, 0 = j*r - 2*m - 54. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8290201265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 9*a + 18. Let k be i(-9). Let j be 158\/k + 8\/36. Suppose -2*f = 3 - j, -5*c + 5*f = -3430. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248 = -164*u + 118*u + 166 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**3 - 12*r**3 + 4*r**3 + 5*r**4 - 2*r**3 + 13*r**3 - 3 + 3*r**2 - r to the form j*r**4 + l*r**3 + b*r**2 + f*r + o and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1054712966 to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 19*i**3 - i**2 - i + 1. Let a = -1 - -2. Let r be b(a). Let y = 7 - -5. Calculate the greatest common divisor of r and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12447 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 1\/3*p**3 + 3*p + 0 + 1\/12*p**4 - 2*p**2. Let n(r) = r**2 - 3*r - 4. Let d be n(3). Determine a(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -32, -64, -108, -164, -232?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -7)*1 - 3. Suppose -5*t + 60 - 5 = d. Calculate the remainder when 21 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 1625.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 587706777?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2397469 - -951\nAnswer: -2396518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3312 = 9*r + 14*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -344240152, -344240154, -344240156?\nAnswer: -344240158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/13 or 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1318, 0.3, 256, -0.1 in descending order.\nAnswer: 1318, 256, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -238920 (base 10) to base 13\nAnswer: -84996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 293, 190, -19, -370, -899, -1642?\nAnswer: -2635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -19 - -18 - (-4)\/(-1). Put a, -5\/2, -0.1, -3 in descending order.\nAnswer: -0.1, -5\/2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -23363331?\nAnswer: -23363335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 11*w**2 + 2*w + 752. Does 47 divide o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m + 132*m - 19*m - 73*m - 17*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 333147, 333145, 333143, 333141, 333139, 333137?\n\"Answer: -2*x + 333149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*sqrt(343).\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -107*o**3 + 2*o**2 + 100*o + 346. List the prime factors of r(-4).\nAnswer: 2, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 14. Let l be i(-6). Let d = l - 7. Let j(r) = 18999*r**2 + 1. Let u be j(d). What is u rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -27*k + 227. What is the highest common factor of 1377 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73 or -371\/5?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 2*q**2 - 5*q**2)*(-2 + 2 + 3)*(1 - 1 + 2*q)*(30 - 4 + 164).\nAnswer: -5700*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 + (-75 + 191 - 70)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6789006?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-17 - -1) + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2924 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 37 - 35 = 0. Let p(n) = 37*n + 227. Let a be p(w). Let s(m) = -m**2 - m. Let y(q) = q**2 + 2*q + 1. Give a*s(o) + y(o).\nAnswer: -4*o**2 - 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 4*z**2 + 5*z + 2. Let g be a(5). Let k = 4 - g. Suppose -k*x = -4*j - 1214, -5*x - 2*j + 3059 = -0*j. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-304)\/(-24) + -13)\/(1\/201). Let i = d - -65. Let f(h) = 0*h + 1 + 0*h + h. Let z(x) = 1. Calculate i*z(v) + 2*f(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 2*i**5\/5 + 25*i**2\/2 - 17. What is the second derivative of k(l) wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*-3)**2*2.\nAnswer: 41382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363 = 244*x + 621 + 718 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 65 = -y - 0*y, -318 = -5*y - 2*o. Let i(q) = -7*q + 2. Let k be i(5). Let s = y + k. What is the remainder when 123 is divided by s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + y - 4 = 0, -5*c = 4*y - 0*y - 1. Let i(r) = 4*r + c - 7*r + r. Let j be i(3). Sort 5, j, 1 in descending order.\nAnswer: 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tth when three letters picked without replacement from {k: 1, t: 4, h: 9}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9130 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, c: 4, p: 2}. Give prob of picking 2 p, 1 r, and 1 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/5154413 and -37\/34045.\nAnswer: 25772065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -276 divided by -384450\nAnswer: 46\/64075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19198 (base 12) to base 3.\nAnswer: -1212010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 0*q**2 - q**4 - 1 - 9*q**3 + q**2 to the form a*q**3 + w*q**2 + m*q + r*q**4 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.086929.\nAnswer: -0.086929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 728.0148 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.5 (c) 0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 73\/3, 1.3, -4\/5?\nAnswer: 73\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*t + 3*t = -4, -4*t - 16 = -3*w. Suppose w = -2*p - p + 6. Solve -p - 3 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 5.54335, 0.33 in decreasing order.\nAnswer: 11, 5.54335, 0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1635 (b) 3.9 (c) -5 (d) 3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 109? (a) -6\/5 (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 3:11 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26500605191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*h*k**2 + 657*h - 3911*k**2 with respect to h.\nAnswer: 7*k**2 + 657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7367921 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 943217411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 19*m**2 + 19*m - 6. What is g(18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/21)\/(102\/153). What is the nearest to 0.3 in -1\/6, -1, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, j: 2, m: 2, o: 4, i: 10}. Give prob of picking 1 m and 2 o.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64*51129.\nAnswer: 3272256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/5)*w**(2\/5)\/w)\/(w\/w**5*(w*w*w*w\/(w*w\/w**4)*w*w)\/w))**(3\/29) assuming w is positive.\nAnswer: w**(-57\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -110?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - 9*p**2 + 48*p - 4. Calculate c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -684 (b) 0.5 (c) 22 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - -6 - (10 + 3). Let f = n + 17. What is the second biggest value in 6, f, 4, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3690 and 225910.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 41*f**5\/10 + 15*f**2 + 124*f. What is the derivative of b(w) wrt w?\nAnswer: 246*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + (35 - 15 - -18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(-3*sqrt(40)).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92523, 185064, 277587, 370086, 462555, 554988, 647379, 739722?\nAnswer: 832011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 144 = -3*z. Suppose 3*f - z = 3*x - 153, -x + 35 = -5*f. Let o be (-7)\/((-4)\/(x\/2)). Solve o = -4*m + 5*n, -3 = -n - 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(4\/8 + -1). Suppose 0 = -t*i + 5792 + 6342. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f**2 - 2*f + 7*f - f**3 - 9*f + 6. Let t be p(-5). Let l(g) = 213*g**2 - 4*g + 3. List the prime factors of l(t).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 13*c**2 - 47*c - 417. Let q be j(-12). Suppose -3*m = -42 - 72. Suppose 0 = -q*i + m + 91. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39 + 10908?\nAnswer: 10947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 6809810?\nAnswer: 34049050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 11:17 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*z - 82594, -5*z + 452005 = 5*v + 38990. What are the prime factors of v?\nAnswer: 2, 103, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -2091\/2 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -322375, -2, 19 in decreasing order.\nAnswer: 19, -2, -322375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -469.22 and -8.18129.\nAnswer: -477.40129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -3. Let q be (6 + 2)\/1 + h. Suppose -o + 48 = 4*y - q*o, 0 = -2*y + 3*o + 28. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 238074 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*z**2 + 25*z**2 - 16*z**2)*(1 + 2*z - 1)*(-26 + 26 - 5*z).\nAnswer: -310*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 - 3.98. Let g = 8938314 + -8938310.0000024. Let i = x + g. Round i to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/10 and 77\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(18\/15)*1\/1. Which is the nearest to m? (a) -4 (b) -0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 26*n - 96. Let g be t(-12). Let d = g + 409. Which is the nearest to 1\/6? (a) 3 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335.2757 weeks to days.\nAnswer: 2346.9299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2 + 0)*(-19 + -111). Find the third derivative of r*x**2 - 157*x**2 + 53*x**2 + 37*x**3 wrt x.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -293.\nAnswer: 117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-218)\/(-1) + 2)*6664\/(-16660)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -444515 + 0?\nAnswer: -444515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*s + 2315 - 41565 = -972*s for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 3*m - 15, -5*i + 2*m = 53 - 43 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**4\/5 - 2331*t**3\/5 - 444546*t**2\/5 + 3212832*t\/5 - 2765952\/5 = 0.\nAnswer: -392, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 25*z**2 - 154*z - 5615. Let g be d(-27). Let q = -7 - -17. Sort g, q, 2, 0 in increasing order.\nAnswer: 0, g, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 - (-1 + 48\/21) and ((-45)\/(-18))\/(14\/(-44)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1892 - -1874. What is the fourth biggest value in -0.2, -0.4, -2, i, 24?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*n - 363 + 131 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-5) + 9*9\/(-270).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/7 + 41848*f\/7 - 53732172\/7 = 0. Calculate f.\nAnswer: 1326, 40522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2. Let p(w) = w + 21. Let z(h) = 3*h + 82. Let o(i) = -9*p(i) + 2*z(i). What is o(m(f))?\nAnswer: -6*f**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 104?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**5 + x**3 + 3*x**2 + x. Let g(y) = 307*y**5 + y**3 + 4*y**2 + y + 83. Let w(p) = -g(p) + h(p). What is the third derivative of w(c) wrt c?\nAnswer: -18360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10 + 2 = 0. What is the derivative of 2*a**3 + 2*a**3 - 3*a**3 + j + 4*a**3 wrt a?\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, u: 4, m: 5, e: 2}. Give prob of sequence tt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-61)\/(-5) - 3\/15. Let r(v) = -v - 15. Let l be r(-14). Which is smaller: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/(-130) + (-135)\/(-50). Suppose 5*p - 2*q - 23 = 0, t*p + 4*q = 5*q + 14. Let z be ((-3)\/(-4))\/(3\/(-12)). Put z, 0, p in decreasing order.\nAnswer: p, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3 = 6*h. Let a = -69 + 106. What is the remainder when a is divided by -16*(h + 0) + 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 29*g**2 - 34*g - 20. Does 23 divide m(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3204110002 (base 5) in base 9?\nAnswer: 13552085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(6\/7)*d\/(d\/d**(1\/16)*d)*d*(d*d**(3\/7)*d)**(-31) assuming d is positive.\nAnswer: d**(-8329\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**5\/5 - 17*w**4\/6 + 16*w**3 + 210*w**2. Solve j(x) = 0 for x.\nAnswer: 8\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 8 = -b + 2*x, -3*b + 12 = -2*x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -32. Let y = g + 44. Let w = 22 - y. Which is greater: 0.5 or w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g + 0*g - 4*g + (2 - 4 + 0)*(3*g - 5*g + 4*g) - 3*g + 9*g + 0*g - 2*g + g + 35 - 28 + 63 + 2*g + 4*g - 4*g.\nAnswer: 4*g + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 91 = 221. What is the remainder when h is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -8)*(-8)\/(-20). Solve a*j = -4*c + 20, 4*c - 20 = -2*j + 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a = 67 + 131 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00306282 to 4 decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 285, 1041, 2305, 4077, 6357, 9145?\n\"Answer: 254*f**2 - 6*f + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9401726 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: Calculate 16\/(-240)*(-12)\/8.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85217?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/39? (a) 259 (b) -3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {i: 3, b: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -430 - -0.1070334276851?\nAnswer: -429.8929665723149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**9\/72 - s**5\/20 + 14*s**2 + 15*s. Let g(x) be the first derivative of r(x). What is the third derivative of g(h) wrt h?\nAnswer: 840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*s. Suppose 5*b - 2*f - 14223 = s, 2*b - 2118 = 5*f + 3567. Let u = -19947\/7 + b. Calculate the common denominator of u and -44\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 3, t: 3, n: 3, o: 1}. What is prob of sequence opu?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - b**2 + 1. Let d(q) = 7*q**3 + q + 18. Let w(x) = d(x) - 6*p(x). Give w(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 4*x. Suppose 587 = 5*k + 4*a, 3*a - 124 = -4*k + x*k. Suppose -2*p + k = 3*p. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 0. Let c be 0*m\/(-3) + 2. Sort 5, 3, c in descending order.\nAnswer: 5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -41.0000003. Round y to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 618701.1 to the nearest one hundred.\nAnswer: 618700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 3, y: 6, e: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 16*w**2 - 15*w - 1. Give h(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1063 = -49*t - 125 - 625 for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-175) - (-1)\/(-5).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3528*l**2 + 272*l + 273. What is the units digit of g(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19785 - 17237. Is 26 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**7\/315 - d**5\/90 + 6*d**2. Solve l(o) = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, c: 3, z: 1, g: 5, r: 1}. Give prob of picking 2 y.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3511 + 1924.\nAnswer: -1587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 + -70. Calculate the remainder when 15 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/7 (b) -0.4 (c) -31522\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-30)\/(-4))\/((-30)\/20) - -45388 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52537, 105075, 157611, 210145?\nAnswer: 262677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 1 + 1 - 2*v - 1 + 1 + 3*v - v - 4*v + (-2 - 1 + 5)*(-3*v - 3*v + 4*v) - 4494*v - 2514*v - 935*v - 389*v to t + u*v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -13171312\nAnswer: -3\/13171312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 6620 and -0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(405) + 0.\nAnswer: -2 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 138304.8cm?\nAnswer: 1383048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/3, -1.1, 51502 in increasing order.\nAnswer: -4, -1.1, 4\/3, 51502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 588 = 2*k. What is k rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 10) to base 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 399\/(-114) + 11\/2. Suppose i - 2 - 1 = 0. Suppose g*a + 6 = -2*h + 130, i*a - 3 = 0. Calculate the remainder when h is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 134, 262, 384, 500, 610?\n\"Answer: -3*d**2 + 137*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {h: 7, l: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 + 1396845*x\/2 - 2793682.\nAnswer: -(x - 1396841)*(x - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 872300 rounded to the nearest 10000?\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*l - 44. Sort l, -2, 2.\nAnswer: l, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 222 + -53. Let i = g - 173. Let c = 0.3 - -0.2. Put c, 1\/3, i in decreasing order.\nAnswer: c, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*q + 59*q = -26. Differentiate -12 - 20 + 2*c - 23 - 55*c**q - 136 wrt c.\nAnswer: -110*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v**2 + 17*v**2 + 22*v**2 - 48*v**2.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2597, -5169, -7717, -10241, -12741, -15217?\nAnswer: -17669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*l - 9*l + 21 - 171 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17 + -3 + -3 + 1. Suppose 0 = w - 5, 4*w - r = 3*a + a. Let i(p) = 2*p**2 + 2*p - 2. What is the lowest common multiple of a and i(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79270*u - 28662 wrt u.\nAnswer: 79270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142132965521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -133, 1, 69\/19, 5 in descending order.\nAnswer: 5, 69\/19, 1, -0.1, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p**(1\/4))\/p))**(9\/4))**(-1\/43)*(p\/(p*p**(2\/13)\/p*p)*p)\/p*p*p**(3\/2)*(p\/p**(4\/5))\/((p\/p**8)\/p) assuming p is positive.\nAnswer: p**(469869\/44720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.335991733 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-3 + 2)*8\/(-80)*10. Factor 2*m**3 + l*m**2 + 5\/2*m**4 + 0*m + 0 + 1\/2*m**5.\nAnswer: m**3*(m + 1)*(m + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/((-4)\/(-2)*110\/(-33440))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/3))\/(p\/p**(-1\/2)))\/((p*p**(-2\/17)\/p)\/p*p**(-2\/17)\/p) assuming p is positive.\nAnswer: p**(211\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490551.\nAnswer: 3, 163517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 - 29*v + 19. Let h be z(9). Solve -h = 5*u - 16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 8*u - 3. Let t(d) = 9*d. Let m be t(1). What is the lowest common multiple of v(m) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-176)\/35 - 2\/5) + 8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9110 - -18284. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/70 and 6 - ((-453)\/(-42) - 5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oozzhottpzeohzhotz. What is prob of picking 2 z, 1 t, and 1 h?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*w - 440, 5*t + 150 = 3*t - 4*w. Which is bigger: t or -88?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) + (-7)\/(175\/85). Calculate the common denominator of (-1)\/u - (-1)\/((-234)\/627) and -81\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 63*p - 2 - 9.\nAnswer: -63*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 20*m**3 + 17*m**2 + 11*m - 6. Let d(o) = 7*o**3 + 6*o**2 + 4*o - 2. Suppose x + 99*z - 32 = 102*z, -5*z = 5*x - 60. Calculate x*d(h) - 6*g(h).\nAnswer: -h**3 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 o when three letters picked without replacement from uoxxx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - (-44)\/8)\/((-2)\/(-384)). Let t be 0\/5 + 3 - 1. Find the third derivative of -7*v**4 - 98*v**t - 4*v**4 + c*v**2 wrt v.\nAnswer: -264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-80) - 112\/640.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12549 + 10996. Is -1550 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 5 - 2)*(5*v - 13*v - 2*v).\nAnswer: -160*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kklboklkblok. Give prob of picking 1 l and 1 k.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 4. Let q be ((-6)\/2)\/((-12)\/8). Let m(z) = z**q - z + 5*z + 0*z. Determine m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 29.474469 months?\nAnswer: 0.00245620575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y + 3*y)*(-5 - 3*y + 5 + (-1 + 4 - 1)*(5 - 2*y - 5)) - y**2 - y - 2*y + 2*y**2.\nAnswer: -13*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9063717ml to litres.\nAnswer: 0.0009063717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*p = -21, -2*q + 3 = 5*p + 4. Let j = q - 10. Suppose 0 = j*s - 1 - 1. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -5*f**4\/4 - 3*f. Let y(d) = d + 14. Let x(s) = -2. Let c(q) = 28*x(q) + 4*y(q). What is c(j(v))?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 64*y**3 + 64*y**2 + 10 + 13 - 33*y**3 - 24*y**3 - 26*y**2. What is the second derivative of t(o) wrt o?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 - 2*m**2 - m - 2. Let d = 31 - 18. Let y = d + -11. Let s be u(y). Solve p + 4 = -w - s*p, 0 = 3*p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4316961605 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2542)\/574 - (-3 + -1). What is the biggest value in s, 0.1, 0.4, 1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32369 + 0.3.\nAnswer: 32369.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-5))\/(2\/10). Let v(x) = g + 0 + 0*x - x + 7. Let o be v(6). Let c(m) = -m**3 + 5*m**2 - 6*m + 4. Calculate c(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/8*(6 - 3628\/1).\nAnswer: 2, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 + 31*q - 6. Determine s(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1987580 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -4)\/(1 + 0). Let n be (-28)\/20*(-6)\/21. Which is the nearest to x? (a) -0.1 (b) n (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 40 = 5*k. Let h be (-14)\/70 - 42\/k. Suppose 70 = l + h*l. Calculate the highest common factor of l and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 11. Let x(z) = z - 6. Let m(y) = -3*f(y) - 5*x(y). Let r be m(6). Solve -j - r = 0, 3*j + 1 = 2*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(189\/35 + -5 - 99\/(-15))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16061, -0.02464, 2, 0.5, 0 in decreasing order.\nAnswer: 16061, 2, 0.5, 0, -0.02464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (635\/340 + (-1)\/(-4)). Let h = 1681 + -1678. What is the fourth biggest value in p, -0.5, h, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/(-20))\/(56\/20). Let y be 10\/(-6) - 1\/(-1). Is y smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24249900 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11115 and 3216510?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 185*z**2 + 917*z + 3043. What is l(-180)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v - 6 = 4*a, 2*a + 18 = v. Let o(l) = 2*l**2 - 15*l. What is the tens digit of o(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**4 - 8*k**2 - 5*k**2 + 3*k**2 + (3*k**2 + k - 2*k**2 + 0*k)*(12*k**2 + 8*k**2 + 28*k**2).\nAnswer: 52*k**4 + 48*k**3 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33997370.0200238 + -33997373. Let c = 2.02 + 0.96. Let x = o + c. Round x to six dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a\/(a\/a**(-3)))\/a)\/a)\/((a\/(a\/a**(-2\/5)*a)*a*a)\/a))**7 assuming a is positive.\nAnswer: a**(-126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 35*y**4\/6 + 35*y**2 + 134*y. Differentiate t(r) wrt r.\nAnswer: 140*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**3 + 7*j**2 - 2*j - 27. Let z be p(-5). Let m = 219 + z. Is 49 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -868 - -883. Solve 0 = -7*x + 2*x - g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**3 - 2*t**2 + 4*t. Let l be (94\/18 - 5) + (-58)\/18. What is the units digit of q(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 - 2 = 8*p. Which is smaller: p or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = 6*c - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0.0629?\nAnswer: -6.9371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 + 269*a - 4575. Give p(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 13749*o**2 + 4. Let h(t) = 71*t. Determine i(h(f)).\nAnswer: 69308709*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 - 1. Let d be 13 + -4 + 3 + -1 + -1. Suppose -4*a = 3*s + d, 0 = 3*a + 5*s + 11 + 2. Give n(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -311022032 (base 4) in base 2?\nAnswer: -110101001010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a5568 - -5?\nAnswer: a5571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191744323.\nAnswer: 37, 857, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/117130352 and 69\/2546312.\nAnswer: 117130352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/39 - (-5)\/(-6). Let g(v) be the second derivative of v**3\/6 + 3*v. Let p be g(2). What is the closest to 1\/2 in 5, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -41. What is the closest to 1 in -4, 1\/12, 3, o?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 16) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 71. Suppose 9790 = j*y + 2*z, -3*z + 0*z = 4*y - 7839. Suppose 4*n + 4*k - 3287 = -n, 3*n = 3*k + y. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 3228697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 469363*h**4 - 8*h**3 + 70*h**2 + 130174?\nAnswer: 11264712*h - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1758 - 351*z**4 + 1758 + (4*z**2 + 2*z**3 - 4*z**2)*(3*z - 4*z + 2*z) in the form f*z + s + m*z**4 + k*z**2 + g*z**3 and give m.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*j = 5*i - 18, 0 = -4*j - 4. Let c(h) be the second derivative of h**4\/12 - h**3 - h**2\/2 - 7*h. What is c(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/40*20\/46?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11443410 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.28283489 * -0.12\nAnswer: 0.0339401868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*g**3\/3 - 101*g**2\/3 + 106*g\/3 - 16\/3.\nAnswer: (g - 8)*(g - 1)*(11*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -609462 divided by 304731?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l - 27. Calculate the remainder when 23 is divided by i(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-16)*q)**(11\/4)*(q**(-2\/131)*q*q)\/q*q**(-40) assuming q is positive.\nAnswer: q**(-20309\/262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 3*p**2 + 2*p - 5. Let i be q(-4). Solve -i*b + 3 = 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 7*z**5\/60 + 7*z**2. Let j(f) = f. Calculate j(h(i)).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2262 and 533676?\nAnswer: 15476604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 12*a - 15. Let o(f) = -23*f + 30. Let n(x) = -7*h(x) - 4*o(x). Let t be n(6). Let r = -28 + t. Solve r*c = 7 + 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2921*-0.024.\nAnswer: -70.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22354020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13927 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 91857\/172746 - 5\/(-14). Let r = -5.8 - -12.2. Let o = r - 6. What is the closest to -2\/5 in 2\/19, l, o?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200663768813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, -36, -4 in descending order.\nAnswer: -1\/13, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -208.989 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -0.01 (c) -3\/7 (d) 1\/8 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2598 + 2632 = 3*u - k, -4*u - 4*k = -72 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -449 in 2\/21, -7035, 0.2, 5\/4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - i + 16 = -143, 315 = 2*l + i. Is l not equal to 155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 13) to base 4\nAnswer: -3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2 - 279356*b - 279354 = 0. Calculate b.\nAnswer: -139677, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11858 or -4188?\nAnswer: -4188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (4 - (11 + -7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0794 times -1149042?\nAnswer: -91233.9348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1190, 1231, 1284, 1343, 1402?\n\"Answer: -u**3 + 12*u**2 + 12*u + 1167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5161609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 3, m: 2, y: 1}. Give prob of picking 1 y and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 293599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9)*d**(-1\/10))**(-22) assuming d is positive.\nAnswer: d**(319\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 4*m**2 + 58*m + 159. Give r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6197 - 4728. List the prime factors of a.\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1459338438.\nAnswer: 2, 3, 47, 5174959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1028*g*q**4 - 13*g + q**6 - 485*q**2 wrt q.\nAnswer: 24672*g*q + 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -80*x - 1647. What is z(-22)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - k - 2)*(-1021 + 114*k + 1021)*(0*k**3 + 2*k**3 + k**3).\nAnswer: -342*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r - 39*r**2 + 176*r - 108*r - 98*r.\nAnswer: -39*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + (-127)\/6*3\/(-21) and 430\/(-160) - 1\/(-6).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3) - (-72)\/((-253800)\/1457)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**2 + 108320*x + 586661120 = 0.\nAnswer: -10832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5 + 18*r**4 - 33*r**3 + 18*r**2 = 0. What is r?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d**2 + 4971085507 - 4971085507.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*j - 3927, 167*p = 168*p - j - 1293. Calculate the remainder when p is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2 + 4 - 5 - 6*q + 3. Let i(l) = -27*l**2. Give i(p(j)).\nAnswer: -972*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 204278661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -52293.4128 to the nearest 1000.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + p + 1204 - 5*p - 1385 - 2*p**2 to the form q*p + l*p**2 + r and give r.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6637399 is divided by 38366.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 25 = -95. Suppose 5*q = -4*u + 4, -5*u + 0*q + 26 = q. Let i(v) = 2*v - 3. What is the lowest common multiple of i(u) and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-6)*16\/12. What is the third derivative of -p*m + 11*m**2 + 73*m**3 + 2*m - 67*m**3 wrt m?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/428904 and 107\/9918405.\nAnswer: 79347240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 - x. Let j be f(1). Let q = -0.85 - 1.15. Suppose 0*n + 9 = 3*n. Which is the fourth smallest value? (a) n (b) q (c) 1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3355, -26630, -89813, -212860, -415727, -718370, -1140745, -1702808?\n\"Answer: -3326*l**3 + 2*l**2 + l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3351044 is divided by 37233?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*l - 2)*(-45 + 18 + 14).\nAnswer: -26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 c when three letters picked without replacement from {g: 3, n: 2, u: 10, h: 1, t: 1, c: 1}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 + 0*l**4 + 4544*l**2 + 0*l - 52 - 4552*l**2 + l**3 + 2*l**4 + l to d*l**2 + t*l + x*l**3 + s*l**4 + g and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 27\/(-14))\/(2\/16). Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (0 + -8)*2. Let v be 237\/(-27) - (-4)\/g. What are the prime factors of (v\/(-3))\/(0 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c + 108*c - 789 = -125 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b. Suppose 0 = 3*i + 4*p + 9, 0 = 49*i - 49*i + 4*p. Which is greater: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8276, 8279, 8284, 8291?\nAnswer: 8300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4036 - 0.41. Let a = -53.2064 - u. Let t = a - -53. What is the closest to 1\/5 in 1\/9, 5, t?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.5, 0, -2, 2, 3.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 5:14 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.3 (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -22 - (-27 + (-4)\/(-2)). What is the closest to 102 in 5, -4, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231122223 (base 4) in base 11?\nAnswer: -117846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18bc410 + -5?\nAnswer: 18bc40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 5*d + 2. Let g be c(3). Let b = -3 + g. Solve b*w - 8 = -f + 1, 13 = -5*f + 4*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/2*(-9)\/3. Suppose -5*f = -0*a - i*a + 28, 2*f = -5*a + 26. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/20 and -2*(1196\/112 + -7).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4 = -86. Let r = z - -28. Solve -4*x = 5*y + 25, 2*y - 4*x - x + r = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 750 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35473, 35519, 35611, 35761, 35981, 36283, 36679?\n\"Answer: 2*r**3 + 11*r**2 - r + 35461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5422, -22159, -50052, -89101, -139306, -200667, -273184?\nAnswer: -356857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 339.93 + -337. Let g = -2.515 + k. What is g rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21648285 + x**2 - 21648285.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k - 22. Let v be b(0). Calculate the remainder when 79 is divided by 4\/v + 3552\/176.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7055546.\nAnswer: 2, 47, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 720, 1673, 3126, 5151, 7820, 11205, 15378?\nAnswer: 20411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 4:13 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 1487*l**3 + 8*l**2 + 8*l. Let a(u) = -2973*u**3 - 14*u**2 - 14*u. Give -4*a(r) - 7*q(r).\nAnswer: 1483*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*d - 39*d + 164*d - 46*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5913221158 to the nearest integer?\nAnswer: 1808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + k. Let f(x) = -9*x**3 + 64*x**2 + 1019*x. Let t(a) = a**3 + 10*a**2 - 22*a + 9. Let y be t(-12). Let w(r) = y*n(r) - 3*f(r). Factor w(m).\nAnswer: -3*m*(m + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*sqrt(126)\/sqrt(2) - sqrt(63))\/sqrt(9).\nAnswer: 1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnnnhnhvhhhnhvhv. Give prob of picking 2 h and 1 v.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 142*n + 163 wrt n.\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -11.28\nAnswer: -1.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*p + 39*p + 70. Let s(o) = -7*o**3 + 8*o - 2*o + 8*o**3 + 2*o - p*o**2. Let k = -4 + 10. Determine s(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268276064 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 326811 and 984?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(144)*1 + sqrt(144))\/sqrt(12) - sqrt(81)\/sqrt(3)*-4) + -1).\nAnswer: -80*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -188*j**3 + 2*j + 1. Let w = -1 - 0. Is m(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -141*s**2 + 2253*s + 48.\nAnswer: -3*(s - 16)*(47*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-3445.535\nAnswer: 2756.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {v: 2, x: 3, c: 12}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 622287751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*m + 5833 = 45857, -m - 53374 = -4*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k*k**(4\/13)*k*k)**(-36))**(-2\/7) assuming k is positive.\nAnswer: k**(5904\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 - 11) - (-32 + 61 + -8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196289942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2.4. Let n = -0.1 - r. Which is the second biggest value? (a) 0.2 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 167043288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3645*m**3 - 6075*m**2 - 3375*m - 625.\nAnswer: -5*(9*m + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + a**2 + 0*a**2)*(283*a**2 + 15*a**3 - 283*a**2).\nAnswer: -30*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -773329572 divided by 7281\nAnswer: -106212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -9*c + 12*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4695 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63996.95 micrograms to milligrams.\nAnswer: 63.99695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 130.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*f - 2302, 567 = o + 10*f - 7*f. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6920 - 6474 + x + 0*x as l*x + y and give y.\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010 (base 2) in base 5?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x - 2. Let i(z) = -4*z + 1. Let b(j) = -8*i(j) - 5*u(j). Let a(l) = l**3 + 83*l**2 - 959*l - 79592. Let c be a(-83). What is b(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 1 + 1 + (-w - 4*w + 3*w)*(-4*w + w + 5*w) + w - 4*w**2 - w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 952\/(-588)*(-16520 + 2)*7\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1 (c) 101 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -285 + 289. Suppose 4*j = -4*v + v + 49, -3*j = -3*v - 21. Find the first derivative of j - 5 - d - 5*y wrt y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -43?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792*r + 1 = 4*y + 791*r - 10, 5*y = -4*r - 65 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1176, 3850, 8272, 14436, 22336, 31966, 43320, 56392?\nAnswer: 71176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 377\/6. What is the fourth biggest value in c, 0.06, 0.2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 - t - 12*t**2 + 11*t**2 - 23*t**3 + 26*t**2 - 6.\nAnswer: (t - 3)*(t - 1)**2*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 112\/3. Let r(z) = 4*z + 10. Let v be r(-4). Let m be (v\/(-27))\/(3\/(-9)). Which is the nearest to -2\/5? (a) 4 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -407 (base 12) in base 9?\nAnswer: -717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**5 - 655*z**4 - 13995*z**3 - 36205*z**2 + 2560*z + 48300 = 0 for z.\nAnswer: -105, -23, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 2:13 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.2 or 22?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06051802016 rounded to four decimal places?\nAnswer: 0.0605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63199699 is divided by 31599834?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25108396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/13 + 528*i - 2688862\/13.\nAnswer: -2*(i - 2981)*(i - 451)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**8\/560 + 11*v**7\/7 - 605*v**6 + 133100*v**5 - 18301250*v**4 + 1610510000*v**3 + 53*v**2 + 1. Factor p(o).\nAnswer: -3*(o - 110)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z**2 + 5*z + 43. Let h(c) = -4*c**2 + 3*c + 22. What is 3*g(t) - 5*h(t)?\nAnswer: -t**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from ekhbbbbbiii?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i + 40. Let l = -8 + i. Solve -z + 5 = -l*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*p**2 + 10*p - 14*p - p**3 + 7*p**3 - 2*p**3.\nAnswer: p*(p + 4)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-20))\/((-468)\/(-260))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -24*i**2 + 32*i - 32. Let o(t) = 4*t**2 - 5*t + 5. Let u(p) = -32*o(p) - 5*w(p). Let j(f) = -43*f**2. What is u(j(q))?\nAnswer: -14792*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24286 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 2*j**3\/3 - 5*j**2 - 3*j. Let d be f(7). Let w be d\/(-117) - 4\/(-26). Let b(x) = -x + 8. Determine b(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 7*r**2 + 5*r + 10. Let c be m(-6). Let v = c + -16. Let i(j) = j + 2. Let s be i(-2). Solve 3*g + v*g - 6 = s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32573418 divided by -302.\nAnswer: 107859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -785 - -111. Let i = r - -675.308. Round i to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 4*o**2 - 3*o - 2. Calculate z(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6*c**3 - 10*c + 11. Let y(o) = -o**3 - 2*o + 2. What is 2*r(x) - 11*y(x)?\nAnswer: -x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1064 or 19267?\nAnswer: -0.1064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 166472477 to the power of 1\/3, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -7*b. Let s be b\/((-4)\/2*-2). Suppose 4*t + 6 - 18 = s. Solve 2*z = 7*z, 0 = t*o - z - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9*h**3 + 2. Let m = -76 + 72. Let y(w) = 19*w**3 - 4. Let r(i) = m*y(i) - 9*j(i). Find the first derivative of r(o) wrt o.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4551389322.\nAnswer: 2, 3, 2113, 358999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/42725 and 16\/225.\nAnswer: 384525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 217413, 217427, 217439, 217449, 217457, 217463?\n\"Answer: -o**2 + 17*o + 217397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 29, 4\/9, 2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -1\/25*y**6 + 0*y**2 - 1\/5*y**4 - 1\/210*y**7 + 0 - 2\/15*y**3 - 13\/100*y**5 + 14*y. Solve z(d) = 0 for d.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-131)\/(-524))\/((-687)\/99 - -7)?\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*d**3 + 228998*d**2 - 228512*d**2 + 0 + 2*d to x*d**2 + b*d**3 + t*d + n and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113149351?\nAnswer: 7, 19, 23, 47, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -876, -1755, -2634?\n\"Answer: -879*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 253.2732.\nAnswer: -50.65464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(-3\/8)\/d)*d**16 assuming d is positive.\nAnswer: d**(147\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or 0.013?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m + 2*m - m)*(1 - 6 + 3) - 2*m + 5*m - 2*m)*(-1 + 1 + 2*m + m + m + 0*m + (-2 + 5 - 1)*(3 - 3 - 2*m) - m + 2 - 2).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25.1 and 0.2?\nAnswer: 25.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.24 + 0.06. Let j = a - 5. Let h = 0.01 + -0.01. What is the third biggest value in j, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 20. Is i smaller than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**6\/105 + n**5\/10 - 11*n**4\/42 + 5*n**3\/21 + 3*n + 2. What is x in t(x) = 0?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6824, 13, -5, 7 in ascending order.\nAnswer: -5, 7, 13, 6824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 94429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 119304*y + 596420.\nAnswer: 4*(y - 29821)*(y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 7*s**3\/6 - 2*s**2 + s - 5. Let w = 43 + -25. Let v(u) = -6*u - w - 24 + 46. Determine -5*r(h) - 6*v(h).\nAnswer: h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 10 + 3)*(s + 3*s - 3*s)*(-s**2 + 4*s**3 + 11*s**3 - 27*s - 13*s**3).\nAnswer: 44*s**4 - 22*s**3 - 594*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**4\/4 + 5*v**3\/3 + 3*v**2 + 6701. Give m(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35043 - 35048. Which is the nearest to 3\/7? (a) -8 (b) 6\/13 (c) q (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -99*o**4 - 1705*o**3\/6 - 22*o**2 - 8*o. Differentiate m(n) with respect to n.\nAnswer: -2376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + -17 + (209 - (-419 - -612))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2. Let h(i) = 5*i + 2. Let w(z) = 6*z + 3. Let p(m) = -6*h(m) + 4*w(m). Determine p(q(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and (207\/(-63) - -4)\/((-1)\/(-7))?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 12*d + 31. Let k = 4185 - 4178. Give g(k).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 7*k**2 + 8*k + 18. Is o(8) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2 + 0*o + o**3 - 5*o - 2 + 4*o. Suppose -95*h - 2*g - 25 = -94*h, -2*h = -7*g - 71. Calculate w(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -68\/153273?\nAnswer: -68\/153273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 688 and 53.\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**15)\/(((d*d**(3\/34))\/d)\/d) assuming d is positive.\nAnswer: d**(-445\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/23205156 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 4*x + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 10*z - 5*o + 64 = 0, z - 28 = -5*o. Let w(x) = 7 - 11 - 11 + 4*x. Let k be w(6). Calculate the greatest common factor of z and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85883 divided by 85883\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 757036, 757038, 757040, 757042, 757044?\n\"Answer: 2*f + 757034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -654 divided by -6\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(11) + sqrt(55)\/sqrt(5)*2 + sqrt(11) + sqrt(11)))**2*-6.\nAnswer: -14850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 587354659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 390*a**2 + 4*a + 6. Does 7 divide t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 609 = -5*m - 451, -3*l = -3*m - 642. Let o = 2350\/11 + m. Find the common denominator of o and -10\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(20) + sqrt(720))*-4 + 6*(sqrt(162) - sqrt(2) - 3*(sqrt(2) + sqrt(4)\/sqrt(2)))**2.\nAnswer: -2*sqrt(2)\/7 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2\/(-3 + 5)). Let a = -22.8 - -22.4. Is a less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**4 - 15541*x**3 + 93218*x**2 - 124280*x = 0.\nAnswer: 0, 2, 4, 15535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -53920 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4741089 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 4:47 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/34 + 66822333\/2091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1047 * 0.1578.\nAnswer: 165.2166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m**2 - m + 5. Let f(h) = -h**2 - h + 1. Let z(l) = 3*f(l) - u(l). Calculate the remainder when 28 is divided by z(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.1 (b) -327 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521463184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 38 = -40 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 6 = -3*w, -5*c - 8 = -4*w + 23 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -13. Suppose 6*y - r*y = -36. Let w be y\/3 + (-2)\/2. Calculate the greatest common divisor of w and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7430 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 40. What are the prime factors of 29*1*v*120\/(-32)?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/64)\/(21\/4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 + 168*s**3 + 172*s**2.\nAnswer: -4*s**2*(s - 43)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5369246 and 4.\nAnswer: 10738492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+16375.9\nAnswer: 16375.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 165 = -45*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.45 and 101.\nAnswer: 101.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430 and 58910.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60 - -15 - -55) + 2 + 17?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 - 6*d - 2. Let p(a) = -a**2 - a. Let s(o) = -4*p(o) + q(o). Let b = -7 - -10. What is the smallest common multiple of s(b) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/1*15\/9. Suppose -2*g - 49 = -5*j, -4 = -o*j - 3*g + 60. Calculate the remainder when 50 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -6. Let m = -8451\/28 + 1273\/4. Let x = m + -17. Is j smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiaihaai. Give prob of picking 1 a and 3 i.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y - 1. Determine r, given that y*r + r**2 - 3*r - r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5aa6 (base 12) to base 7\nAnswer: -41520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/342 and 67\/12.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -233 + -1110331101?\nAnswer: -1110331334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzgv when four letters picked without replacement from gzzgzzzgzvgzv.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 540831 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 13*s - 11. Let a(l) = -12*l + 10. Let z(r) = 6*a(r) + 5*v(r). Differentiate z(i) wrt i.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**2. Let p(f) = 215*f**2. Determine i(p(g)).\nAnswer: -184900*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/300)\/(1\/2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1834 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 10, k: 1, y: 1}. What is prob of sequence sq?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134 is divided by 393?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 93. What is the remainder when p is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 7*l. Solve l = -0*p + p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -61212, -61202, -61178, -61134, -61064, -60962, -60822, -60638?\n\"Answer: i**3 + i**2 - 61214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*k**2 + 10*k + 5*k + 70*k**2 - 15*k - 130*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-455 + 0)\/(20 - (-19 + 44)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 10*q**2 - 63*q + 4. Let v(x) = 7*x**3 - 46*x**2 - 254*x + 18. Give -9*f(d) + 2*v(d).\nAnswer: -4*d**3 - 2*d**2 + 59*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 157223387 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (3 + 1 + -3 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.4 + -3. Suppose 5*j = -0*j + 15. Let x be (1 - j) + 44\/20. Which is the second biggest value? (a) x (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.302744 nanograms?\nAnswer: 0.000000004302744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3270 and 6322.\nAnswer: 94830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 144623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -280.7 to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k = -243 + 117 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4788 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*o - 6*y + 2*y, o = -4*y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 + 64 = 5*z, 3*z - 4*p - 46 = 0. Suppose -12*u + 8 = -z*u. Solve -u*y + 18 = 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 times -7?\nAnswer: -1365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (5 - (10 + 11) - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-45)\/(-1))\/(14 + -30). Let d = p + 175\/48. Which is the third smallest value? (a) 2 (b) d (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*p**6 + 159*p**2.\nAnswer: 12240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*z + 130*z = 4392. List the prime factors of z.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + 6 + -186 + 191.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35257.\nAnswer: 35257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 3536.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b - 6. Let s be p(-2). Solve -s*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239162 divided by 6.\nAnswer: -119581\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 2*b**2 - 4*b - 1. Determine h(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)*y\/((y\/y**(-1\/4)*y)\/y))\/((y*y**1\/y*y*y)\/y**(-1\/4)) assuming y is positive.\nAnswer: y**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -11. Let w = f - -6.9. What is the nearest to -2 in w, -2\/11, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13200 (base 4) to base 12.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-3)\/2)*(-1 + -5553) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/13930 and 69\/13930?\nAnswer: 13930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-266)\/57)\/((-4)\/42). Differentiate -7*c - 7*c + k*c + 28 with respect to c.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - h - 2. Let q be v(2). Let x = 5 + q. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166628004 and 17648?\nAnswer: 4412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-23))\/(1*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 278147 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: Express -3*z - z + 5*z + 0*z as t + k*z and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/2)*g*(g*g\/(g*g**(2\/5)*g))\/g assuming g is positive.\nAnswer: g**(-19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/136575 and 111\/515950.\nAnswer: 4643550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 5:53 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400652 is divided by 133498?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 71*q = 70 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16.586214s?\nAnswer: 0.2764369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 5*h + 15 = -2*d, -55*d - 42*d + 94*d + 3*h - 33 = 0 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 47\/4 of a hour?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 89 = 4*i - 96, 0 = -177*c - 3*i + 624 + 270 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 + 5*r + 2. Let g(s) = -s**2 - 1. Let n(i) = -g(i) + k(i). Let j be n(5). Suppose 3*l = j*p + 72, -p - 4 = -3. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbiborbrbirrirbb. Give prob of sequence boi.\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2052\/17 or -121?\nAnswer: -2052\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.4 - -6.3. Let m = w + 3. Suppose 2*j - 2*h + 30 = 0, 2*j + 256 = h + 219. Is j > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*c = -0*c + 6314718. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7592 and -2.\nAnswer: -15184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-21)*(h*h**14*h)\/h)**(-3\/5) assuming h is positive.\nAnswer: h**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i - 8 = 3*y, -y - 5*i + 14 = 0. Let o be 1\/((-29)\/(-15) - 2). Let z = o - y. Let m(w) = -w - 1. What is m(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 + -55 + 110 + -49 + -1 + -6\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 5*v**2\/2 - 1. Let f(u) = -11*u - 14*u - 15*u + 41*u. Give f(s(j)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3 + 11*t**2 + 4*t - 60 = 0. What is t?\nAnswer: -10, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 33637660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 37, -945?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 1415.4238.\nAnswer: 566.16952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23 and -4.9907.\nAnswer: -27.9907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -53199?\nAnswer: -53194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*q + 10 = 0, q - 4 = -3*q. Let c be 147\/77 - (-1 - k). Let x = 0.09 - 4.09. Sort x, c, 2\/5 in descending order.\nAnswer: 2\/5, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2. Let y(l) = -39*l + 1. Give j(y(b)).\nAnswer: -3042*b**2 + 156*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aohwaaawi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/158817 in -2\/11, 3\/2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 24 = 3*a, -q - 2 = 5*a - 28. Let b = q + -16. Suppose -283 = -b*v + 12. What are the prime factors of v?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -962 in 0, -7, -1, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 + 2*x**2 + 2*x + 1. Let v(j) = 9*j**3 + 5*j**2 + 5*j + 3. Let a(c) = -c**3 + 3*c**2 + 4*c + 5. Let r be a(4). Give r*y(m) - 2*v(m).\nAnswer: 2*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 4306.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121211 + 2002220?\nAnswer: 11201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-117)*-189)\/(18\/(-42))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 1624 = -5*c. What is c rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epvp when four letters picked without replacement from {p: 9, v: 4, z: 4, e: 3}?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r + 30049 = 105710. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-2*sqrt(44)*6)\/(sqrt(484)*-2) + (6*3*sqrt(132))\/sqrt(12)*5))**2.\nAnswer: 8928144\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-2 + 4)) + 2 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**3 - 199380*i**2 + 21*i - 10438719?\nAnswer: 6*i**2 - 398760*i + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0 + 6. Let d = g - -1. What are the prime factors of (0 + d)\/(1\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 129*k + 702 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 15, p: 4}. Give prob of sequence ppz.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p + 346 = 194 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1709\/4 + -879\/2. Calculate the common denominator of s and 40\/225*(-10)\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwhwbhhhhbwwhhwwhww. What is prob of sequence hwbb?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5910, 8251, 12122, 17523, 24454?\nAnswer: 32915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56884459, -113768919, -170653379, -227537839, -284422299, -341306759?\nAnswer: -398191219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 + y + 80 + 0)*(-9*y**2 - 2*y**3 + 9*y**2) to the form r + b*y + m*y**4 + w*y**2 + l*y**3 and give l.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-30)*(-10 + 165\/22). Which is the smallest value? (a) 4 (b) s (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 677 - 443. What is the smallest common multiple of 72 and p?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37945270.\nAnswer: 2, 5, 11, 344957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4655, -18886, -42593, -75776, -118435, -170570?\nAnswer: -232181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12421222 - -3?\nAnswer: 12421230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 2*f**2 + f + 1. Let a be k(2). Let t(d) = d**2 - 36*d + 292. Let p be t(12). Solve s + p = a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2402293 to three dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -860 - -872. Solve 4*x + w = 4*y, 2*y + 6 = 3*y + 2*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*5*2\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25839600 rounded to the nearest 100000?\nAnswer: 25800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 17.1. Let q = y - -1.6. What is the biggest value in q, -5, -3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1154583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1576119 divided by 2.\nAnswer: 1576119\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14)*7651\/13116*(-1)\/(-2)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1026255977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78824952 and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1291424*t - 2*t**2 + 645717*t + t**2 + 645734*t.\nAnswer: -t**2 + 27*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + 3 - (1 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w - 2236 = 7812. Round w to the nearest 10.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166721614, 166721615, 166721618, 166721623, 166721630, 166721639?\nAnswer: 166721650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.9 - 9. Let u = -0.1 + b. Let x = 0.7 - u. What is the nearest to -0.4 in -2\/13, x, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1920 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 178379014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -593 and -0.1.\nAnswer: 59.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/465 and 61\/33945.\nAnswer: 33945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 621377 (base 8) to base 2\nAnswer: 110010001011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 786361150 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s**2 + 0*s**2 + 5*s**2)*(-s**2 + 2*s**2 - 2*s**2) + 160*s - 160*s + 27*s**4 to d*s + h*s**4 + n*s**2 + r + m*s**3 and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -4, 1\/6, -156 in descending order.\nAnswer: 1\/6, -4, -78, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3018309\/(-1050))\/(4\/30). Let d = a - -21555. Find the common denominator of -79\/4 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460 = -2*l + 7*l. Let k = -54 - l. Suppose 0 = 3*b - 22 - k. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106 and 18.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100.0154 - -100. Let f = -0.023 - w. What is f rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 13) in base 2?\nAnswer: -1011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801944919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10220 and 1080?\nAnswer: 551880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2115 (b) 3\/2 (c) 0 (d) 0.4 (e) -53 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*34.3.\nAnswer: -1.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117086471*u**2*x**3 + 17*u*x**3 + 21*u*x**2 - 2246*x**3 wrt u.\nAnswer: 234172942*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2 = 2*n, 2*n + 22 = -0*z + 4*z. Calculate the smallest common multiple of 15266 and z.\nAnswer: 45798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 14*k + 329. What is the lowest common multiple of 477 and c(-22)?\nAnswer: 3339","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 66. Let h = 148.2 - 190. Let x = y - h. Round x to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/1 + 220\/40?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -608598, -1217244, -1825888, -2434530, -3043170?\nAnswer: -3651808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1358 or 1345?\nAnswer: 1345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f = 38*f. Suppose -2*c - 3*u + 266 = f, 388 = 4*c - 3*u - 180. List the prime factors of c.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54+-193.1\nAnswer: -247.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -5 (b) 1\/63 (c) -1 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1245745281?\nAnswer: 1245745277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -453 - -767. List the prime factors of j.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 256*f - 32. Let d(z) = -83*z + 12. Let r(v) = -8*d(v) - 3*h(v). Let p(w) = -11*w**2. Determine r(p(o)).\nAnswer: 1144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3306182756 to the nearest integer?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210574300?\nAnswer: 2, 5, 53, 67, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqbjqbjqqcqcj. What is prob of sequence bbjc?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1442*k**3 + 1460*k**3 - 2901*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -138*f - 141 + 40 + 53 + 93 + 70 + (0*f - 5*f + 3*f)*(-2 + 6 - 3).\nAnswer: -140*f + 115","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3 - 578773*r**2 + 3472607*r - 2893835 = 0. What is r?\nAnswer: 1, 5, 578767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765024234 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -7. What is the common denominator of -63\/20 and 122\/j + 4\/(-8)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let y be h(-5). Suppose -5 = -y*r, 4*x + 0*x + r = 141. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 220*x + 50. Let b = -750 + 753. Let j(f) = -47*f - 9. Let m(r) = -16*r - 3. Let d(i) = b*j(i) - 8*m(i). Determine 3*c(n) + 50*d(n).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -60, -69 in decreasing order.\nAnswer: 5, 4, -60, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 2 = w + 8*n, w - 5*n = -14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -540 by 3.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 97621.8mg in grams?\nAnswer: 97.6218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-1)\/((-99)\/27))\/(18\/(-12)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -95 - 101. Let c = r + -27. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -0*y - 192. Suppose y = 4*v - 5*z, 2*v + 5*z + 7 = -7. Factor v*u**3 + 6*u**2 - 2*u - 6*u + 8*u.\nAnswer: 3*u**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 4)*5\/(-2) + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-30))\/(2\/2230). Let l = -198 + k. Calculate the remainder when 273 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -461 - 458 + 10*m**2 + 7*m + 18*m**2 + 931 - 10*m**2. Let z(f) = -18*f**2 - 6*f - 10. Let a(c) = 5*h(c) + 6*z(c). Determine a(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48237.\nAnswer: 3, 7, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f8a7 (base 16) to base 2.\nAnswer: 11111100010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21708 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5*u = -360 + 335, -2*q - 24 = 2*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/(-14) - 2\/7. Suppose 17 = a*w - 27. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599117 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4 - -9.2. What is q rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.4 - -7. What is the biggest value in 2, -3\/2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 774 + -774. Sort u, 5, 1, 2 in descending order.\nAnswer: 5, 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w. Let f be 3\/((-2)\/2 + w). Let q = 288.1 + -288. Which is the nearest to -1? (a) q (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4016161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/2, -5, -0.5, 2503, -1 in ascending order.\nAnswer: -5, -1, -0.5, 11\/2, 2503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/17 and 31\/1659197.\nAnswer: 28206349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -331. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 7 - 2)*(-2 - 2 + 6)*(3*o - 4*o - 2*o) to the form k*o + f and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*y - 12, 21 - 12 = 3*q + 3*y. Let z = 0.04 + -1.04. What is the closest to 0 in q, -3\/4, 3, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.23 in 123, 2, 0.1, -0.4, -19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171580, -1372636, -4632642, -10981072, -21447400, -37061100, -58851646, -87848512?\nAnswer: -125081172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05497 and 4.\nAnswer: 0.21988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8785907?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (324\/(-1944))\/((-2 + 3 + -24)*2\/(-6)).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/4 + (-5)\/(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + (-391)\/(-34))\/(9\/(-48))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 5947993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 20021004045?\nAnswer: 20021004044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d - 11 = 0. Suppose 13*s = d*s + 110. Let b = s - 19. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -2*w + 63, 1207 = 2*c - 6*w + 1435 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**3 - 2*l**2 - 5*l + 1. Let f(s) be the first derivative of s**2\/2 + 15. Suppose 7*p - 3*p + 20 = 0. Let b(h) = p*f(h) - q(h). Determine b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*3 + 5)**2 + (-3*sqrt(33)*1)\/sqrt(11).\nAnswer: 147*sqrt(3) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 11*t + 18. Let z be g(-14). Suppose -8 = 4*i + 2*p - 98, -3*p + 87 = 4*i. Calculate the greatest common factor of z and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6) - (-52)\/8. Let j = 9 - u. Factor -2*s - 6*s - s**j + 9*s.\nAnswer: -s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 - 2*v**5 + 3*v**4 + (-2*v**4 - 4*v**4 + 4*v**4)*(v - v - 5*v).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 6*i + 5. Let w(k) = 3*k**2 - 1. Let n be w(i). Suppose -5*d + 4*q - 4 + 27 = 0, 18 = 3*d - q. Solve n*b = d*b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1522 + -1400. What is the remainder when i is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(180) + 3 + sqrt(180) + sqrt(180)*4 + 1)**2.\nAnswer: 216*sqrt(5) + 6489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 639\/135 - (-7)\/((-42)\/(-9)) and 2\/927?\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**4\/3 - 8*d**3\/3 + 192*d**2 + 2188*d. Suppose g(w) = 0. What is w?\nAnswer: -12, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16388 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -9. Let l = 85 + -124. Let h be 5\/(-2) - (-5 + l\/(-6)). Sort 4, q, h.\nAnswer: h, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/99*2\/8*-1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -9\/41, 1\/8, 9027?\nAnswer: -9\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2878404305.\nAnswer: 5, 7, 43, 433, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v + 4*v**2 + v - 2*v**3 - 6 + 9 - 2*v**2 to j*v**3 + m + d*v + x*v**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 652019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4803, 8, -2.\nAnswer: -4, -2, 8, 4803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaaaaaaaxa. What is prob of picking 4 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.123 + 0.523. Sort a, 0, 18, 2\/7.\nAnswer: 0, 2\/7, a, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -485 + 258. Let w = 233 + i. Solve 2*h - w*h = -4, 2*s - 5*h - 5 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.354647 to 3 dps.\nAnswer: -0.355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 195 - 2147\/11. Let c = 524\/1335 + 2\/267. Put c, o, -1, -3 in increasing order.\nAnswer: -3, -1, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*s + 1 - 202*s + 1 - 74*s to the form f*s + j and give f.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/5 - 28718*o**2\/5 - 20324976*o + 2111825160 = 0. What is o?\nAnswer: -7230, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2329 + -2317. Sort -4, 21, k, 0.5 in descending order.\nAnswer: 21, k, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2. Let z(o) = 7*o**2 + 2*o + 2. Let p(n) = 90*n**2 + 27*n + 27. Let m(q) = 2*p(q) - 27*z(q). Calculate m(v(r)).\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 10*v + 13. Suppose -9*j = -8*j + 11. Let f be y(j). Suppose -f*t + 89 = -t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -8362.\nAnswer: 1\/4181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1753 * -1.8\nAnswer: -3155.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 35496 = 4*l. Let o be 3\/((-3)\/2087)*2. Let f = o - l. What is f rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 0*d + 6\/17*d**3 - 124 + 0*d**2 - 2\/17*d**5 - 3\/34*d**4 - 1\/51*d**6. Factor k(s).\nAnswer: -2*s**2*(s - 1)*(s + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-1)\/(-6))\/(120\/108)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*x + 25 = 16, 15 = 5*g - 5*x. Suppose -3 = -3*h + 9. Suppose -69 = h*z + 4*i - 205, i + 1 = g. What is the remainder when z is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 2*l - l)*(-922 - 754 + 10*l - 15) to n*l**2 + k + s*l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, w: 2, r: 3}. Give prob of sequence uuuw.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10800 and 976140?\nAnswer: 58568400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 - -2da3?\nAnswer: 2db5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -39. Let k = s - 17.13. Round k to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1048 - -2262. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5)*h)\/((h\/((((h*h**(1\/13))\/h)\/h)\/h*h*h))\/h))**(-5\/2)*(h**1*h)**13\/(h**(-2\/7)\/(h*h**4)) assuming h is positive.\nAnswer: h**(2511\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - t + 8 = 0, -3*k + 2*t = 3 + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -197, -2, -3, -86, 4, 1 in descending order.\nAnswer: 4, 1, -2, -3, -12, -86, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/1)\/((-327)\/(-168187)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3171 divided by -6?\nAnswer: -1057\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, k: 1, w: 1, o: 1}. What is prob of picking 2 g and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 74507484 to the power of 1\/2, to the nearest integer?\nAnswer: 8632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/401 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 11. Let t(r) = -r**2 + 11*r + 18. Let x be t(13). Give a(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p - 7. Let k(t) = -12*t - 13. Let m(d) = 4*k(d) - 9*v(d). Let a(w) = -7*w - 11. Let f(j) = -4*a(j) - 3*m(j). Differentiate f(z) wrt z.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11513 is divided by 549.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 21 = -2*p, -5*l + 3*p + 17 = -36. Let q(a) = a**3 - 13*a**2 - 8*a + 31. Let u be q(l). Which is greater: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 5:42 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2657, 5472, 8287, 11102, 13917, 16732?\nAnswer: 19547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + a - 2*a = 0, 0 = -3*i + 5*a. Solve i*g - 6 = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1468587 and -143\/894.\nAnswer: 437638926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/16*2735\/(-13675).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31884 - 17515. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -472 (b) 2\/5 (c) 4\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -6. Suppose 25 = -2*k + 5*a, -n*k + 0*a + 5 = a. Suppose k*j + 5*j = 0. Solve j = -0*w - 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 11*n**6\/12 - 22*n**3 + 75*n**2\/2 - 2*n - 129. Let q(j) be the second derivative of o(j). Differentiate q(p) wrt p.\nAnswer: 330*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jttrrtt. What is prob of picking 1 t and 1 r?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 211*i = -214*i - 1, 3*i = w + 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/2606 and 73\/18242.\nAnswer: 18242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2 and -71\/4286?\nAnswer: 4286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6994)\/807*(-27)\/(-6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*s + 3*j, 35 = 6*s - s - 2*j. Let u = 18 - s. What is the highest common factor of u and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36142691 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(1 + 0) - -2. Suppose 432 = y*f + f. Calculate the greatest common factor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 3*l + 8, -68*d - 16 = -66*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.801994662 + 0.197998438. Let n = m - 23. What is n rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16161 and 25.\nAnswer: -404025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/((sqrt(5) + sqrt(45))*1)*1 - (3*sqrt(50)\/sqrt(2))\/(-1*sqrt(10)\/sqrt(2)).\nAnswer: 13*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-14)*n\/(n\/n**15))\/(n*n\/n**(2\/3))**(5\/3) assuming n is positive.\nAnswer: n**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(9)*-2) + sqrt(35))\/(5*sqrt(20)) - (sqrt(70)\/(sqrt(50)\/sqrt(5)) - (sqrt(7) + (sqrt(7) + (sqrt(2100)\/sqrt(3) - sqrt(7)))**2)).\nAnswer: sqrt(7)\/20 + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9143 - 2.934807. What is r rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 134 = 10*i - 12*i - 5*i, -90*n - 5*i = -86*n - 86 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*l + 7131 + 2460 = 1695 for l.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119.1 + -121. Let w = f - 7.4. Let p = 25.3 + w. Which is the second biggest value? (a) 4 (b) p (c) 3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15, 13, 13, 15, 19?\n\"Answer: i**2 - 5*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 2*f**2 - f + 2. Let q be t(-2). Suppose 2*r = 3*j + 3*r - 17, 0 = -q*j + 3*r + 40. Solve 3*a - j = l, 0 = 5*l - l - 2*a - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tppphhhthhthpth. Give prob of sequence pttp.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 10 + 7*x**2 + 5*x**3 + 5 - 15 + 3 + 5*x. Let v(z) = -14*z**3 - 19*z**2 - 14*z - 9. Let w(s) = 17*g(s) + 6*v(s). Calculate w(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3700375.2 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -60. Put g, 0.5, -0.3, -15 in descending order.\nAnswer: 0.5, -0.3, g, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 8:49 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*4*(3 + 45 - 7). Let z = r - -128. Let g be ((-1)\/3)\/(2\/z). Solve c - t + g*t = 28, -4*t = -20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 22*a + 34*a)*(0*a + 0*a - 2*a)*(-5*a**2 + 5*a**2 + 10*a**2).\nAnswer: -1140*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 674575 (base 11) to base 6\nAnswer: 35011540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0, -18.4, 2\/25, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31155 and 837.\nAnswer: 280395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -6*d, -348 = 2*z - 3*d - 357 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1714 = -2*h, h - 4276 = -4*h + 3*u. Let x = -289 + h. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -284?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**3 + 2*s**2 + 23*s - 6. What are the prime factors of y(7)?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 365556*g + 2558891. Give m(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2066*z + 2110*z - 41101 - 802335 = 0. Is z a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*j**2 - 48*j**2 - 1814 + 1814 + 188*j**2 in the form d + a*j + k*j**2 and give k.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22703?\nAnswer: 73, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 42752 and 42751 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.8 + 15.8. Let u = 0.14 + 10.66. Let l = p - u. Which is the third biggest value? (a) -2 (b) 2\/3 (c) 2\/15 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5308139*s + 5308034*s - 2760 = 1335 for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (1 - 16)\/((-230)\/92).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8048691 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 42.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5186875 and 1351.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17144*a**3 - 9104*a**3 - 8061*a**3.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.59 at least as big as -29\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 899999*t**2\/2 + 3*t - 1. Let q be l(3). Round q to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11 - 7 - 3 - -481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176 * 0.383627\nAnswer: 67.518352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -10*v**3 - 102*v**2 - 532*v - 776. Let b(u) = -14*u**3 - 104*u**2 - 531*u - 777. Let c(h) = 4*b(h) - 6*l(h). Factor c(d).\nAnswer: 4*(d + 3)**2*(d + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 - 34*s**4 + 96*s**3 - 94*s**2 + 31*s.\nAnswer: s*(s - 31)*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.432 + 0.032. Let u = 11028\/5 + -2205. Which is the closest to -2\/21? (a) -5 (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 21*s + 50. Let n be i(-7). Let k = n + 292\/3. Which is the nearest to k? (a) 1\/2 (b) -4 (c) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(7 + (-5 - (-4)\/2)))\/2. Solve -198 = -4*q - 2*b - 182, n = -5*q + 2*b + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*i + 3*i. Suppose -4*o + 5*x - 2*x + 64 = 0, 2*o = -i*x + 32. Let l be 668\/6 + 4\/6. What is the highest common factor of o and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3513\/19382 + 1\/1762. Which is the smallest value? (a) 12\/13 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -8*z - 24 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 5 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4184022, 8368044, 12552066, 16736088, 20920110?\nAnswer: 25104132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 983898 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 242*l**2 - 6944*l + 23064.\nAnswer: -2*(l - 3)*(l + 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q - 99 = -m, 14 - 25 = 3*q - 4*m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11444438.05713 and 6.\nAnswer: 11444444.05713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**1)**(3\/2))**(37\/4))**31)**25 assuming y is positive.\nAnswer: y**(86025\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 9:21 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 10110110111111100010100111?\nAnswer: 10110110111111100010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -8 - -88 - 1\/1 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + (-1 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1008 = 104*s - 161 + 1025. Let i(u) = 5*u + 102. Determine i(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.7 + 0.7. Let y be 2\/7 + 264\/(-385). Which is the smallest value? (a) y (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.85372 and 3.\nAnswer: -5.56116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 44.63134, 1, -0.2, 3\/5 in ascending order.\nAnswer: -0.2, 3\/5, 1, 44.63134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**4 + 6 + 0 + 7*x**4 + x - 4 to s*x + d*x**3 + w + n*x**4 + t*x**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/10 + 6\/(-15). Let v(p) = 3*p**2 + 2*p + 1. Let l(n) = 50*n - 1393. Calculate the lowest common multiple of v(t) and l(28).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1734 not equal to -1733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 + 152. Suppose a*c = -18 + 138. Calculate the remainder when 42 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1229415792.\nAnswer: 2, 3, 11, 17, 29, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -100011000110011?\nAnswer: 100011000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 44 (b) -0.029 (c) -795\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 4321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 30. Calculate the remainder when 36 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, j: 1, f: 1}. What is prob of sequence ee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzbbbz. Give prob of picking 1 z and 3 b.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4280.796 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2012200 (base 3) to base 15\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 - 21*a - 7. Let f(s) = 2*s**2 - 10*s - 3. Let t(n) = -5*f(n) + 3*x(n). What is the units digit of t(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 2*f**3 - 2*f**3 + 0*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7088982.\nAnswer: 2, 3, 41, 28817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*q + 44*q - 16. Sort 5, q, 6 in decreasing order.\nAnswer: 6, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 1480?\nAnswer: 147b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 244 - 243.999797. Round c to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 11*k**3 + 8)*(-7 + 1 + 1)*(0 + 2 + 0)*(-1 - 4 + 0).\nAnswer: -550*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -15\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) -2\/15 (c) -1 (d) 0.103 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 4. Let p be t(-4). Suppose 5*u + 3*r = 28, p = -2*u + 5*r + 8 + 28. Let a = u - 3. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 131 + -7?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*2\/(-4)*-156. Let g(l) = -3*l**3 - 101*l**2 - 67*l + 84. Let i be g(-33). What is the highest common factor of p and i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**4\/12 - 3*m**3\/2 + 5*m**2\/2 - 44*m + 3. Let k(x) be the first derivative of p(x). Calculate k(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 269760780 by 1335.\nAnswer: 202068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 18 = -9. Let t(v) = 9*v**2 - 24*v + 8*v + 1 + 5*v + 8*v + v**3. What is the tens digit of t(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -363.5. Let d = h + -337. Let w = -9\/5 - -17\/10. What is the third smallest value in 0.05, d, w, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by ((-50)\/15)\/(32\/(-12) + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12096454 and 18106?\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + h - 78 = 0, -5*h = -3*h - 6. Suppose 20*y - 64 - 16 = 0. Calculate the remainder when c is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**4\/3 + 136*y**3\/3 - 4045*y**2\/3 + 10366*y + 11760 = 0.\nAnswer: -1, 15, 24, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -29634412 greater than or equal to -29634413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f + 157. Let g(c) = c - 52. Determine -8*g(q) - 3*j(q).\nAnswer: 7*q - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44005 - -44003. Let z = -4 - -1. Let w = z - -1. Do w and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/((sqrt(7) + sqrt(175))*-3 - sqrt(7)).\nAnswer: -sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -198691\/63 - -3154. Let x = v + 1\/9. Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (39 + -30)) + -34 - (-1 + -71).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -123000100 (base 6) to base 9\nAnswer: -4426040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 + 1.2. Let g = -8.9 + -14.1. Is g <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -189 - -482. Let m = 395 - s. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4 + 6 - o + 4*o - 2*o. What is q(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71274?\nAnswer: 2, 3, 7, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 - 30*g - 15 + 3*g**2 - 46 + 40.\nAnswer: 3*(g - 11)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*d**3 + 0*d**4 + 0 - 1\/5*d**5 + 0*d - 2\/5*d**2 = 0. What is d?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 20 - 20 = -5*m, -2*i + 10 = 5*m. Let w(j) = -j**3 + 11*j**2 - 9*j - 5. Let t be w(i). Solve 0 = -2*s + t*s + 2*d - 5, -2*s = -3*d + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5}. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 9:55 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/60 + 7*v**4\/24 - 13*v**3\/6 + v**2 + 74. What is the first derivative of p(c) wrt c?\nAnswer: 6*c**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/3 (b) -78 (c) 2\/11 (d) 2\/69 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-476)\/(-136)*(4\/70)\/((-1)\/(-4)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -82*u**2. Let n(a) = a. Give n(d(r)).\nAnswer: -82*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 768, 1521, 2268, 3009, 3744, 4473?\nAnswer: 5196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 2. Let f be q(2). Let h = f - -4. Calculate the highest common divisor of 28 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*t + 6 = -1, t = 4*m + 11. Let p = 13.6 - 14. Put m, -3\/8, p in decreasing order.\nAnswer: -3\/8, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53905 divided by 165.\nAnswer: 10781\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209 by -2.\nAnswer: -209\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-5)\/10)\/((-1)\/134) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1620)\/(-216)*8\/15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/57 and 97\/76.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 + 39*m**2 - 16*m - 22. Is w(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57220.21km to meters.\nAnswer: 57220210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1326?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -v - 30 + 2, 0 = -p - 4*v - 8. Let a(t) = t**2 + t + 4. Let j be a(-3). Is (-56)\/j*(3 - p) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 n when three letters picked without replacement from {n: 2, r: 2, y: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(28)\/sqrt(4))*-4)**2 - (0 + -3 + (1 + sqrt(3))**2).\nAnswer: -2*sqrt(3) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -10. Let k(o) = -o - 1. Let w be k(f). Let j = 639 + -635. Sort -4, j, w in descending order.\nAnswer: j, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -652 + 619 - (-742)\/7?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -2936559?\nAnswer: -2936558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -34611*n**2\/2 - 3*n = 0.\nAnswer: -2\/11537, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -505321*-4\nAnswer: 2021284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*w - 45, 4*m - 3*w + 35 = 5*m. Let c be m\/48 - 3\/4. Let o(r) = -6*r + 1. Let s be o(1). What is the second smallest value in c, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3948644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 a factor of 4471131249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -4, -165.96 in ascending order.\nAnswer: -165.96, -4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/15*(-160)\/(-48). Suppose 0 = x*w - 53 - 91. Solve -5*y = -y + w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.024 + -97.2443038283\nAnswer: -97.2683038283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 758, 1516, 2278, 3044, 3814?\nAnswer: 4588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 + 5\/(-10)*(-6 - 0). Let c(j) = 4*j**2 + 8 + 11*j**2 - j - 3*j**2 + 2*j**3 + 0*j. What is the remainder when 23 is divided by c(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1656237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -630.9 - -658. Let q = 27 - n. Which is the closest to q? (a) -0.4 (b) 4 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3803091, -3803045, -3802999, -3802953?\n\"Answer: 46*a - 3803137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + -4*(sqrt(99) - sqrt(99)*1) + sqrt(99) + -5*(sqrt(99) - (2*sqrt(99) + sqrt(99))))\/(-5*3*sqrt(9)*4))**2.\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2604362 (base 8) to base 7.\nAnswer: -6101262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 6*j**2 - 10*j - 51. Suppose 3*a = -119*k + 120*k - 16, -3*k + 24 = -5*a. Calculate w(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83088.\nAnswer: 2, 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + 2)\/(6\/(-9)). Suppose p - 2251 = -2*g, -q*g + 8*g = -3*p - 1115. List the prime factors of g.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbybyzwfwfwzbzbzyfy. Give prob of sequence zb.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383759, 767532, 1151307, 1535084, 1918863, 2302644, 2686427?\nAnswer: 3070212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -32. Suppose -4*j + 7*x + 523 = 2*x, -x + 690 = r*j. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 4:45 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1256028 to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 2. Which is the third biggest value? (a) -5 (b) m (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*u = -400, 4*v + 394 = 5*u + 87. Let b = v + 146. Calculate the greatest common divisor of b and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000261727912 rounded to 6 dps?\nAnswer: -0.000262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -190 - -8. Suppose -2*h - 20 = -7*h, 4*h = 3*k - 1124. Let j = t + k. What is j rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 0*l - 2*l**2 - l + l**2. Let o(q) = 5*q + q**2 + 0*q**2 + 3*q**2. Determine -2*o(f) - 10*u(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 17.22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -552 divided by -2.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27453766*h**4 + 2*h**3 - 111192500 wrt h?\nAnswer: 109815064*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 264, 889, 2108, 4119?\n\"Answer: 33*u**3 - 2*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 26*i**2 + 3*i + 92. Let w be v(-26). Solve -n - 4*p + 0*p = -11, 0 = -5*n + 3*p - w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 258 + -279. Let d(m) = -m - 2*m - m - 39 + 2*m. Let s be d(z). Let u(a) = a**2 - 3*a + 1. What is u(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u + 27 = 0. What is the tens digit of 2\/u - 868\/(-63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-3\/5)))**(-10\/7)\/(n**(1\/13)*n\/(n\/n**24)) assuming n is positive.\nAnswer: n**(-2269\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -24*o**3 - 20*o**2 - 5*o. Let t = 63 - 68. Let a(r) = 23*r**3 + 19*r**2 + 6*r. Let p(n) = t*a(n) - 6*m(n). Find the third derivative of p(c) wrt c.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113779756.\nAnswer: 2, 41, 693779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 + 40 = -5*w. Let y = w - -21. What are the prime factors of (7 + 4)*(9 + y)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3750, 3864, 4054, 4356, 4806, 5440, 6294?\nAnswer: 7404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 17*j**2 + 31*j + 18. Let d be n(-15). Let g(r) = 7*r**d - 8*r**3 - 8 + 7 + 2*r**3 - 2*r. What is g(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 3202120222?\nAnswer: -3202120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*m = -66, -k + 4*m = -0*m - 22. What is the lowest common multiple of 20 and k?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6407 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -3, -5, 3 in ascending order.\nAnswer: -5, -3, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 957 divide 2539084072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4099*c**3 - 166*c**2 + 5*c wrt c?\nAnswer: 24594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 226019.\nAnswer: 226021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 24, 23, 18, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40657382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 549, 542, 535, 528, 521?\n\"Answer: -7*g + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10054.\nAnswer: 2, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1157.636 decades to months.\nAnswer: 138916.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0, 10027, 4, -3.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okokwgkooeqqqqwqkqg. What is prob of sequence gg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/58, 0.89, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 340 + 455 = -5*w, 0 = -2*w - 2*x - 324. Let r = w - -468. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(176) - 1*sqrt(176)) + sqrt(176)))**2 - (-2 + (sqrt(1100) + 3)**2).\nAnswer: -403 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 y when four letters picked without replacement from {c: 2, i: 2, y: 10}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 40. Let f = 18 + s. Let r be 3\/(-30)*-12*f. Solve a - r = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*l + 107*l - 1 - 10*l**2 as j*l + y*l**2 + w and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1292 to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 63b?\nAnswer: 63a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Suppose -b*p - 10 = a, a - 2 = 4*p + 2. Put -1, a, 5 in increasing order.\nAnswer: a, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 131*o + 19 = 129*o, -5*v + 5*o = -35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -109, -2\/5, -7.16, -2, 2\/11, -1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6393181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.0925. Let k = u - -17.0325. Let n = 17 - k. Round n to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 7 + 4*c - 4*c)*((-c + 5*c - 2*c)*(7 - 2 - 2) - 5*c + 0*c + 3*c + 2*c + 3*c + 5*c - 2*c + 0 + 0).\nAnswer: -12*c**2 + 84*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30944 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -1.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -9, 0.8, -3.\nAnswer: -9, -3, 0.5, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**2\/2 - 216*z + 429\/2 = 0.\nAnswer: 1, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is db + 26?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*j**2 + 2844238*j\/7 - 116092 = 0. Calculate j.\nAnswer: -203161\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 86*b - 2690. What is the least common multiple of g(32) and 153?\nAnswer: 9486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:25 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {j: 4, q: 4, s: 6, m: 2, a: 1, l: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474049 is divided by 469663?\nAnswer: 4386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - -47. What is the first derivative of -21*c + 2*c**3 - 16 + 11*c - l - 2*c**3 + 5*c**4 wrt c?\nAnswer: 20*c**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 32*i**2 - 105*i - 61. Let r be b(26). Let j = r + -3797\/3. Let y = -2 + 1.9. What is the closest to 1 in -2.5, j, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(0 - 2 + 2*s + 0).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 174419152?\nAnswer: -5\/174419152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 122*u**3 + 65407*u**2 + 13827756?\nAnswer: 366*u**2 + 130814*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) -67.9 (c) 99.1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + ((-840)\/12)\/5\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-21)*w**(-3\/16)*w)**8 assuming w is positive.\nAnswer: w**(-323\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-10)*w)\/w)\/(w*w**6))\/((w\/w**11)\/((w\/w**12)\/w)))**(13\/6) assuming w is positive.\nAnswer: w**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = -5*n + 3*v - 30, 177*n + 5*v - 28 = 178*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 5:33 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 530153*l + 360481?\nAnswer: 530153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba (base 12) to base 4.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 6:27 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 14. Let v = s - -13. Let q(f) = 3*f - 1. Let g be q(-3). Sort g, v, 1\/3 in descending order.\nAnswer: 1\/3, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 801*r - 8686. Give d(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 17*o + 623. Let f = o - -95. Let y(t) = t - 1. What is y(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 10446*j**2 - 14094*j**2 - 4 + 112889*j**2)*(-j + 0*j - j) to the form o*j**3 + z*j**2 + m*j + l and give o.\nAnswer: -218482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 - 75 + 19*r)*(-r**4 - 5*r**4 - 2*r**4 + (4*r - 6*r + 0*r)*(22*r**3 - 11*r**3 - 22*r**3)).\nAnswer: 266*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -26570 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*s + 39*s - 59*s + (-3 + 2 + 2)*(2*s + 0*s - s).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27556566617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3010 = -6390. What is t rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*j - 2*w + 576, 3*j = 3*w + 441. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 20\/143 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 6*s**2 + s - 40. Is w(10) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4530 (base 13) in base 16?\nAnswer: -25c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y**2 - 55*y**2 + 2*y - y**3 - 7 - 35*y**2 + 3*y**3 to the form j*y + w*y**2 + r + s*y**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/27 - (-16)\/9. Suppose -d + 2 = -z. Let l(c) = 4 + 1 + 0 - d. Let y(h) = -h + 3. Calculate -4*l(m) + y(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3978 + -3969 + (-2 - (-2 - -1) - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10650296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.6 (c) -2\/19 (d) -5 (e) -0.05 (f) -5\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*j + 11 = -33*j - 3*m, j + 2*m + 14 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.1928982 millennia?\nAnswer: 192.8982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-5265)\/36) - 6\/45. Let v be ((-8)\/18)\/(3 + -1). What is the fourth smallest value in -0.2, -3, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24054008851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - m - 17, -z - 3*m + 1 - 4 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936*b - 3727*b + 181*b = 5688*b + 589860 for b.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -1\/3*c**3 - 35 + 0*c**2 + 0*c. Let p(b) = -9*b. What is p(g(v))?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 4\/9, 32, 0.5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1086564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - o - 14. Let c be b(8). Calculate the highest common divisor of c and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**5\/30 - u**4\/2 - 7*u**3\/3 - 11*u**2\/3 - 168*u. Factor z(i).\nAnswer: 2*(i - 11)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68055 and -2.9?\nAnswer: 197359.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**7\/21 - m**6\/30 + 67*m**4\/12 + 3289*m**3\/6 - 4384*m. Find the second derivative of a(v) wrt v.\nAnswer: 40*v**3 - 12*v**2 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -22*t + 5. Suppose 15 = 5*g, 2*r + 11*g = 14*g - 111. Let j(h) = 221*h - 51. Calculate r*v(c) - 5*j(c).\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 263 - 268. Let r be 79\/(-44) - l*6\/15. Is r less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-53)\/6837)\/((-246)\/(-36) + -7).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*y + 46. What is the remainder when y is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.9 + 3.08. Let g = y + -0.18. What is the third smallest value in 3\/7, 2\/9, g?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a - 13. Let t be g(9). Solve h - 3*w + t*w = 15, 0 = 3*h + w - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3 - 13 - 60*i + 0 - 3. Is j(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4809 (base 11) in base 6?\nAnswer: -45101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2 + 2*k + 2*k - 3*k. Let i be x(7). Let t = -7 - -10. Solve 4*n - 10 = -i*u, 4*u + 1 + 22 = t*n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 5*j**4\/12 - 4*j**3\/3 - 3*j**2. Differentiate z(b) wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h - 2. Calculate the remainder when u(-2) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 300031, 1200139, 2700323, 4800583?\n\"Answer: 300038*t**2 - 6*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/18740938 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 34230.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 2046*r = -2042*r + 48, 2*s - 4*r = 56 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2269467 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112314008 is divided by 7233.\nAnswer: 7217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -540 + 11*u + 1114 - 535 to the form q + x*u and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 27*a**2 - 30*a - 17. What is the units digit of j(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 28*n**2 + 3*n + 8. Let c(w) = -1. Calculate -3*c(v) - g(v).\nAnswer: -28*v**2 - 3*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + 7)*(2 + (-1)\/2). Let j(h) be the third derivative of 8\/3*h**3 + 0 - 1\/3*h**4 + 0*h + 1\/60*h**5 + a*h**2. Let j(q) = 0. Calculate q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 32800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*q + 205*q - 4457 = 373 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/14 and 79\/1092?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*d - 36. Let q be d\/(-15)*(-25)\/10. What are the prime factors of (3\/q)\/((-2)\/(-24))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*y = 69*y - 14*y - 2*i + 2366, 8*y - 5*y + 35 = -i for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2\/5, 1\/4, 0.3, 415?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 61*n**2 + 67*n**2 - 127*n**2. Let u(a) be the first derivative of -a**2\/2 - 44. What is u(h(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 136.42 and -0.7.\nAnswer: -95.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 - 53 - -153 - (-1 + 3).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40754850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25*-1*136\/(-4). Let g = -14454\/17 + n. Suppose 3 = -3*i + 6. Which is bigger: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in 764, 4, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2596 is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -12 (c) -0.1 (d) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 185947, 371872, 557797?\n\"Answer: 185925*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f - 6*f - 14*f + 3*f - 10*f.\nAnswer: -40*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7196*f**3 - 6388*f**2 + 4. Let i(u) = 14392*u**3 - 12780*u**2 + 7. Let h(m) = 4*i(m) - 7*x(m). What is the third derivative of h(q) wrt q?\nAnswer: 43176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**4\/4 + 5*y**3\/3 + 3*y**2\/2 + 4*y + 85. Let x = -13 + 9. Let d be k(x). Calculate the greatest common factor of 24 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/478 and 5\/59686.\nAnswer: 14264954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cb (base 13) in base 5?\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11625415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = 2*g, -5*g = 3*r - 2*g. Suppose 6*p + r*l - 75 = p, -4*p = -l - 43. Calculate the smallest common multiple of 3 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 180, 144, 84, -6, -132?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.21 times 0.4?\nAnswer: 4.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 218648161\/32993770 + -21962\/35785. Let a = n - -40\/461. What is the common denominator of 34\/7 and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570975409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 + -29. Calculate the greatest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/22634 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 1:15 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 h, and 1 t when three letters picked without replacement from ttaph?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670339.\nAnswer: 19, 35281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 310*i + 6516. Calculate t(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -27395098, -4 in increasing order.\nAnswer: -27395098, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.001 and 8.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -21\/5, -74, 0.3 in decreasing order.\nAnswer: 0.3, -21\/5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 80119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/208)\/((-2)\/(16*1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 1. Let a(f) = -1 - 9*f**2 + 14*f**2 - 2 - 5*f. Let z(p) = a(p) - v(p). Give z(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 52. Suppose -18*a = -10*a - 320. Let o = a + s. What is the lowest common multiple of 24 and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(5*8\/(-800)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -13, -4, 0.4, -7, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16504983 + 34214983. What is v rounded to the nearest one hundred thousand?\nAnswer: 17700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 7) to base 14.\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n - 3*n)*(4*n + 6*n + n) + (4 - 4 + 2*n)*(12 - 12 - 265*n) + (-2*n + 2*n + 2*n**2)*(1 + 1 + 0).\nAnswer: -548*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 1011 + 2256. Is f a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1326 and 136734?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1203331131?\nAnswer: -1203331133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 582144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7293 + -7287. Solve -16 = 3*j + z - 11, b = -4*j - z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 + 72 = -28*h - 4*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 35*i**2 + 60*i - 72. Is 19 a factor of p(-41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from ncnwucwuwwczvunuwuw?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + -0.8. Let n = -19297\/12 + 1608. Which is the closest to 0? (a) -0.3 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 s when three letters picked without replacement from wsssowwooos?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*(-204)\/103530*(2*-1)\/((-12)\/28).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 76. Let y be 0*(2 - 98\/56). What is l(y)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 9:37 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 73*y**2 - 575*y + 60. Determine n(-64).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-13 + 16 + (-2 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*w - 2, -35 = 5*w - 25. Calculate the greatest common divisor of 448 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 - 317192*t\/5 - 6979192\/5.\nAnswer: 2*(t - 158618)*(t + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -12\/7, 6\/5, 5026 in increasing order.\nAnswer: -5, -12\/7, 6\/5, 5026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 216, 430, 644, 858, 1072?\n\"Answer: 214*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/16)\/((-2)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-4)\/(-8) - (-164)\/172\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -120751 - 38*s + 120751 + 1071*s + 100*s as g*s + p and give g.\nAnswer: 1133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + x**2 + 32. What is the lowest common multiple of 14 and y(0)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (119\/(-4))\/(-17) - (-3)\/12. Factor -1 - 1\/4*x**f - x.\nAnswer: -(x + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4032 = 18*y - 30*y. Let g = y + 332. Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1331649426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-1740)\/156) + 0 + (-836)\/(-143) - -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -444?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -356081.\nAnswer: 4\/356081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 615 + -608. Let g(b) = -b**3 + 6*b**2 - 2*b + 10. What is g(m)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.06540388*40\nAnswer: 2.6161552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27959 or -0.196?\nAnswer: -27959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*s + 36*s + 16*s + (-4*s + 5*s - 3*s)*(-2 - 2 + 3))*(36 - 414 + 93) to x + y*s and give y.\nAnswer: -8265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 225229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 - 2*p**3 + 7*p**3 - 4235*p - 23 + 4237*p - 2*p**3 - p**2 in the form a*p + l + d*p**3 + z*p**2 and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 17*n - 47*n)*(0 + 0 - 1) + (-4 - 1 + 4)*(-4*n + 4*n - 2*n).\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -72600640 rounded to the nearest one million?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137032 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -35727 at most as big as -35805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-385))\/(324\/432*(-8)\/(-225))?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-12))\/(((-36297)\/(-111))\/((-126)\/35))\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, -282, -165 in increasing order.\nAnswer: -282, -165, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from agnagagcnnaqnc?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 922*n - 64699 = -1247*n + 58789 + 115102 for n.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - t - 2*t)*(50*t**2 - 201*t**2 + 107*t**2).\nAnswer: -44*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*k + 195 = -0*k, 3*k + 9 = 0. What is the remainder when 201 is divided by f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260403 is divided by 757.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -620 - 57*y**2 + 1233 - 38*y**2 - 613 in the form t*y**2 + x + s*y and give t.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 603206986 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 1 + 9. Let m be 8\/28*14\/f. Suppose h - m*h + 67 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 c when three letters picked without replacement from {s: 5, i: 1, y: 6, c: 2, f: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + -1. Let s = 6.5 + j. Let l = -5.000171 + s. What is l rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -34, -42, -50?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 1. Let a(o) = -2*o + 27. Determine a(i) - 3*w(i).\nAnswer: i + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 15*s - 67. Calculate the remainder when 11 is divided by j(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 5 + (2 + 4 - 5)*(-3 + 1 + 1))*(-4 + 4 + 1)*(-3349*w**3 + 1663*w**2 + 1204*w**3 - 1663*w**2).\nAnswer: 15015*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 1. Suppose 3*u + 3 = 4*u. Let k(q) = -5*q - 5. Let i(v) = -4*v - 4. Let z(w) = u*k(w) - 4*i(w). What is 6*d(n) - 5*z(n)?\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55631235 and 1205?\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrmhhzhzm. Give prob of picking 1 h, 1 z, and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 0*n - 91*n**2 + 256*n**2.\nAnswer: 165*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**4\/11 + 50898*f**3\/11 + 2388140*f**2\/11 + 8941848*f\/11 + 8738288\/11 = 0?\nAnswer: -25402, -43, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3372437382 to the nearest integer?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 4*n**2 + 10*n - 6. Let s be z(4). Suppose 20547 = s*v - 33241. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -170014\/151 or -1126?\nAnswer: -1126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-135)\/(-30))\/(9\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*1*sqrt(1088))**2.\nAnswer: 9789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.5, 4\/7, -0.3024 in ascending order.\nAnswer: -5, -0.5, -0.3024, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/11 + 68\/11. Let s be (4 - 3)*r - -3. Suppose 0 = 2*g - 4*o - 18, -7*o + s = 3*g - 4*o. Solve 0 = 3*x - 5*w - 1 + 4, 0 = 5*x - g*w - 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2480*s - 108 = 2468*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -713462*g**3 - 6*g**2 - 6653 wrt g?\nAnswer: -4280772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 62268?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*s - 27*s - 723 = 608 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 372\/1925 + -2\/175. What is the nearest to 0.1 in -0.2, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5860.856l in millilitres?\nAnswer: 5860856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 1 = z. Let g(y) = -47*y + 52*y - 2*y + 1. What is g(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 14*o + 224. Let b be i(-16). Solve d = -2, 3*g - 3 = 3*d - b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + f - 18 = -q, -11 = -2*q - f. Let s(r) = 2 - 3 + 749*r - 4 + q. Let b be s(2). What is b rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {z: 1, e: 1, r: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7469207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/2*(6\/14 - 0).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004628535 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14600\/(-2))\/(86\/(-34400)). What is k rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1309*k*u**3 + 4*k*u**2 - 6*k*u - k - 8*u - 2 wrt u?\nAnswer: -7854*k*u + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1001000111010110000001001010?\nAnswer: -1001000111010110000001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let b = 4 + 0. Let l = 0.126 + -0.326. What is the closest to 1 in n, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1)*u)\/(u**(-2\/9)\/u))**(1\/40) assuming u is positive.\nAnswer: u**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1983906785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.96677202 rounded to 3 dps?\nAnswer: 2.967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, o: 1, i: 1, f: 1, c: 2, z: 1}. What is prob of sequence fg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1249367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -32\/3 (c) 4 (d) 0.5 (e) -3 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -16*s**3 + 2*s + 1. Let h be a(-1). Sort 5, 2, h in ascending order.\nAnswer: 2, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12608 and -104.\nAnswer: 1311232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*-2 - sqrt(425))*5 + -4*(sqrt(425) + 0) - ((sqrt(425) - (-2*sqrt(425) + -2 + sqrt(425))) + (sqrt(425) + -1*sqrt(425))*4))**2 + 2.\nAnswer: 420*sqrt(17) + 187431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(24\/(-112) + (-2)\/(-8)). What is the greatest common divisor of 476 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a*a**4*a))*a\/(a**(-1\/2)*a*a)*a)**(-4\/3) assuming a is positive.\nAnswer: a**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/(-30) + 167\/5 - 4 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.4 - 60.7. Let j = 48 + s. What is the nearest to 3 in -3, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 2892139.\nAnswer: 11568556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5504, 10854, 16214, 21590, 26988, 32414?\n\"Answer: s**3 - s**2 + 5346*s + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + (-117)\/(-26))*1\/(-2). Which is the smallest value? (a) 0.2 (b) 1.88 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28470200 rounded to the nearest 100000?\nAnswer: 28500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17173.\nAnswer: 13, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 6*o = d - 7, d = -34*o + 39*o - 0*d - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmxxmmxmmmmxmmmmm. What is prob of sequence xmxm?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + 114 + -79 - -97.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14083, 56337, 126759, 225349, 352107, 507033, 690127?\n\"Answer: 14084*n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -852 or -854?\nAnswer: -854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4*y = -36, 4*f + 1 - 33 = 4*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -110, 2, -2242 in descending order.\nAnswer: 2, -22, -110, -2242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42093659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4 + 0*d - 4*d + 2 + d**2. Let n be g(5). Suppose 3*o - 72 = -n*a, 3*o - 8*o = 2*a - 60. Calculate the remainder when 65 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, 312, 313, 314, 315, 316?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 6 = -7*u. Let q be u\/(-22) + 2\/11. Solve q = -4*t - 2*a - 30, 0*a - 10 = 2*a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 122135.61 to the nearest 100.\nAnswer: 122100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -b?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4315 and 155340?\nAnswer: 155340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -5*h + 16, -900*j + 895*j + 2*h = 33 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1878 * -4\nAnswer: 7512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9706749+-5784\nAnswer: -9712533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 202*m - 241. Determine n(-103).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -859060, -859021, -858982?\n\"Answer: 39*q - 859099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1327607.86 - 25455.86. Let o = j - 1302068.9721. Let v = -83 + o. What is v rounded to three dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2894.4375 and -4?\nAnswer: 2898.4375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**5\/60 + 7*l**4\/6 - 25*l**3\/6 + 57*l**2 - l - 6. Determine k(27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b + 1. Let i be f(1). Let u(x) = -x**3 - 3*x**2 + 7*x - 8. Let j be u(-5). Solve 0 = k + 2*t - 11, 5*t - i - j = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.722 + 19. Let a = j - 0.155. What is a rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 7 - 9 + 21 = i, 20 = 4*u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 2*u**2 + 7*u - 19. Let q be h(2). Suppose -15 = 13*g + q. Let v(z) = z**3 + 4*z**2 + 2. Determine v(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -768 + 765. Sort 5, n, -6, 0.1 in decreasing order.\nAnswer: 5, 0.1, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22331 and -17876005.18?\nAnswer: 17853674.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (485\/2)\/((-12)\/(-8 + -28)). Let w = 714 - u. What is the common denominator of -10\/19 and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 9:55 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18064771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190167367 divided by -190167367.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/770 and 89\/70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 6:13 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452604 is divided by 526.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/((61\/(61\/(-10)))\/2).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/294*(-14)\/(-6). Let m = 2.5 + -2. Sort 1\/5, a, m in descending order.\nAnswer: m, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 550524*w**4 - w**3 + 1038349 wrt w.\nAnswer: 2202096*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 + 585*h + 585. What is o(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**5 + 312*y**4 + 3621*y**3 - 53712*y**2 - 57024*y = 0?\nAnswer: -88, -24, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33522403.0803 - -0.213.\nAnswer: 33522403.2933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 + -12 + 23 + 1 + 101. What is the greatest common divisor of i and 520?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231187 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1024, -2040, -3034, -3994, -4908?\n\"Answer: 2*u**3 - u**2 - 1027*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**2 - 13 + 12*w**2 - 3*w**2 as u*w**2 + r + d*w and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/7 in -11, 3\/5, 14, 0.4, -2\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3, 9*s + 3*s + 5*n + 7 = 9*s + 1 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224538558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -1 + 226*o - 220*o + 0. Let h = 16 + -15. What is i(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2097*w**3 - 2090*w**3 + 4214*w**3.\nAnswer: 27*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 73?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 2*m, 4*n - 4*m = -m. Solve n = -2*u + 4*y + 4, 5*y + 3 = -2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315200 and 8800?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (-1 - -1 - 2). Let o be ((-6)\/(-9) - s) + -1. Which is the second smallest value? (a) o (b) 3\/8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-1218)*-58 - (-116)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1201 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((10\/6)\/((-462)\/(-198))))\/2.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-90) + 1781\/1872.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*(sqrt(48)*6 + (sqrt(96)\/sqrt(4))\/sqrt(8) + -4 + (sqrt(3) - ((sqrt(30)\/sqrt(2))\/sqrt(5) + sqrt(3))))**2.\nAnswer: -768*sqrt(3) + 6980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3*i + i)*(4 - 2 - 3)*(-1 + 0 - 1).\nAnswer: 8*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5077666 rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 2:35 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 1\/3, 0.3, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -902 - -1017. Find the common denominator of 41\/161 and (-3)\/(-2) - (1032\/y - 7).\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 9:09 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1053*s + 206. Let d be 2958\/203 - (1 + (-10)\/7). Is u(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1315643\/355 - 18523\/5. Let c = 3027\/710 + m. Let q = -99275\/84 - -8354\/7. Find the common denominator of c and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - d - 1. Let f(n) = 19*n**2 + 22*n - 4. Calculate -f(a) + 6*v(a).\nAnswer: -a**2 - 28*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 5 = -2*f + 4*f, 5*f + 25 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 3, -0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9719682 to the nearest integer?\nAnswer: 3118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*o + 7 = -7, -2*n = -5*o - 7. Suppose -4*y + 3*m - 4*m = 24, -2*y = -4*m - n. Sort -19, -4, y in descending order.\nAnswer: -4, y, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -728, -600, -386, -86, 300, 772?\nAnswer: 1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 1. Let u(h) be the third derivative of -5*h**4\/4 - 9*h**3\/2 - 14*h**2. Let d(y) = 108*f(y) - 4*u(y). Calculate d(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13509000 divided by -760?\nAnswer: 17775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -48, 538 in ascending order.\nAnswer: -48, -5, 538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 437 and 331759.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*g + 9*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 303 = -3*s + 2*q, 400 = 4*s + q. Suppose 3*x = -2*x + s. Calculate the highest common factor of x and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4) - (-66)\/88. Calculate the greatest common factor of s and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/26 and 38\/41665?\nAnswer: 83330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*v + 1095 = -329*v + 178*v for v.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -25336845?\nAnswer: 25336844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 341 + -1536381\nAnswer: -1536040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 2046*c - 2043*c - 22, -4*k - 6 = 5*c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*d - 7*d + 1792, 3*d = 5*t - 2240. Suppose -t = 2*c - 10*c. What is the highest common factor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (0 - 10) - -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86009000 rounded to the nearest one million?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*i**2 - 2 + (2*i**2 + i**2 - 5*i**2)*(1 - 3 + 0) - 5*i - i**2 + 5*i + 1 - 1 + 2*i**2 - i**2 + 2*i**2 + 2*i**2 - 3*i**2 - 5*i**2 + 0*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - x - 10 = 3*y, -2*y + 18 = -4*x. Let h = y + 3. Solve 2*r**5 + 1 - 1 + 4*r**4 + h*r**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = l - 7, -76*s = -82*s - 3*l + 36 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 4*p**2 - 17*p + 109. Let d(u) = -5*u**3 + 11*u**2 + 43*u - 271. Let q(l) = -5*d(l) - 12*y(l). Give q(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-64)\/(-864) - (-158)\/54. Solve -r*k = -7 - 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151*t**2 + 74*t**2 + 78*t**2 + 22*t**3 + 2*t + 4 - 3*t - 32*t**3 to v*t + m*t**2 + p + c*t**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4557700?\nAnswer: 2, 5, 7, 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 3*y + 3 = -0*y, 3*h + 10*y + 22 + 47 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -j - 22, -3*y - 2*j + 7*j = 30. Put -2, -3, y in ascending order.\nAnswer: y, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/19 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*c - 2, 2*c = -6*d + 2*d + 20. Let l = 1 + 1. Suppose 2*z = -l*z. Is z greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 161?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 158, -3 in ascending order.\nAnswer: -3, 5, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m**2 - 2*m - 1. Let c be w(-1). Let t = 7 + c. Suppose s - 20 = -t*s. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*x + 9. Suppose 20 - 5 = 3*j. Let u = -103 - -114. Solve 4*y - 35 = -j*s - 0*y, -y = x*s - u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 12:06 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v = 27*v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.628 and 0.3?\nAnswer: 0.1884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7332 + -7330. Let s(g) = g**3 + g**2 + 1. Let r(n) = 21*n**3 + 9*n**2 + 9. Determine m*r(h) - 18*s(h).\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - (-12 - -5 - 4 - 5)) + 1 + 1.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 1261*f + 13895. Determine a(-11).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -9. Let b be y*(2 - 0)\/(-2). What is the second derivative of -4 + 6 - b*h + 3*h**4 - 2 wrt h?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*d**2 + 3*d**3 - 10*d - 3*d**2 - 7*d**3 - 2 + 2*d = 0. What is d?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27332 + 6?\nAnswer: -27324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4026 (base 7) to base 14.\nAnswer: -716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - f + 2*f = 4, -n + 2*f + 7 = 0. Suppose 0 = l + n - 0. Let t be (-15)\/20 - l\/2. What is the biggest value in 0.05, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**6\/60 + h**5\/120 - h**4\/24 - h**3\/2 - 4*h**2. Let y(s) be the first derivative of m(s). Does 6 divide y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 18*b - 27*b. Solve b*m + 1 = 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71339.6 litres in millilitres?\nAnswer: 71339600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10678 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1546276 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09144 - 0.09. Round x to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -640 - -639. Let t(p) be the second derivative of -27*p**5\/10 - p**4\/6 - p**3\/2 - p**2 + 2*p. What are the prime factors of t(m)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 205255721?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -70*x**3 - 5*x**2 + 214. Let o(a) = 83*a**3 + 6*a**2 - 215. Calculate -6*b(z) - 5*o(z).\nAnswer: 5*z**3 - 209","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1924977 and 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 219944*t**3 - 10448*t**2 wrt t.\nAnswer: 1319664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -23704*u**4 + 4*u**3\/3 - u**2 + 2*u + 5. Let g be w(3). Round g to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, 5, -2 in decreasing order.\nAnswer: 138, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4305*v - 2*v**2 - 4305*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/210 and 143\/2058?\nAnswer: 10290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.06053558 from 0.504.\nAnswer: 0.56453558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 - 2*g - 10. What is the smallest common multiple of 4 and o(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-1)*242\/847.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)*(s\/((s\/s**4)\/s*s))\/s*s)\/(s**(-2))**(-16)*((s**(2\/9)*s)\/(s\/(s*(s**3*s*s*s)\/s*s)))**2 assuming s is positive.\nAnswer: s**(-497\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15541.\nAnswer: 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24049 is divided by 3435.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 - 761?\nAnswer: -790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.957648 - 3.\nAnswer: -3.957648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 7*j + 88 + 407 = -57*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/267021 and -82\/33?\nAnswer: 2937231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9144 + 9170. Let f = -9 - -16. Let t = k - f. Calculate the remainder when 92 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/2? (a) -6 (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -85b?\nAnswer: -854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from {a: 3, x: 2, d: 3, y: 5, e: 5}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6)\/((-7)\/(-21))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -29. Suppose 4*z = -p + 22, -3*z + 14 = p - 5. Suppose -6*n + n = p. Which is the second biggest value? (a) 0.3 (b) f (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159222982 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2. Suppose 5 = 2*d - 9. Let x(f) = 5 + d - 12 - 3*f**2. Give x(v(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 363*y - 1. Let n(w) = -34*w**2 + 3*w. Calculate c(n(h)).\nAnswer: -12342*h**2 + 1089*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-3))\/48*7\/((-14)\/(-36))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 - l**3 + 0*l**2 + 3 - l**3 - 3 + (-l**3 + l**3 + 2*l**3)*(0 + 2 + 0) - l**2 + 0*l**3 + l**3 + 3*l**2.\nAnswer: 3*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u*(u*(u**(-5)\/u*u*u*u)\/u)\/u)\/u)\/u**(-2))\/((u\/(u*((u**(1\/13)*u*u)\/u)\/u*u)*u*u)\/(u*u\/u**(-5\/6)*u*u)))**(-1\/7))**(-13\/5) assuming u is positive.\nAnswer: u**(149\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - o**2 - 3 + 8 to the form i + f*o + n*o**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/9169 - -308766\/6830905. Calculate the common denominator of 25\/1192 and u.\nAnswer: 5960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:58 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 105 = -8*s. Let i be s - (-16)\/4 - 3. Calculate the highest common divisor of 66 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, s: 1, l: 1, n: 3, z: 4}. Give prob of picking 1 n and 1 z.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -26 (b) 0 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**3 - 3*l**2 - 3. Let f(t) = -5*t**3 + 3*t**2 + 4. Let b(x) = -3*f(x) - 4*p(x). Let y be b(3). Suppose y = 3*d - 21 - 9. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m + m + 3 - 6 + 1. Let d be c(3). Is -3 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/6*j**3 - 50\/3*j + 1\/2*j**2 + 16 = 0. Calculate j.\nAnswer: -12, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5547647*r**5 + 12765*r**2 + 2*r - 10.\nAnswer: -332858820*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/22 - (-6)\/33. Suppose 3*q - 3*h - 6 = r, -5*h + 2 = 2*q - q. Factor -2*f + 8*f - 2*f - q*f**2.\nAnswer: -2*f*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2. Let h(z) be the first derivative of -3*z**2 - 25*z - 36. What is d(h(r))?\nAnswer: 72*r**2 + 600*r + 1250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6268156 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:03 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6241867 or -6241866?\nAnswer: -6241867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.1056 to 1 decimal place.\nAnswer: -16.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(1100) + 0)*-4 - sqrt(1100)) + -1 + -5*(sqrt(1100) - sqrt(1100)*-1*2)*4)**2.\nAnswer: 1300*sqrt(11) + 4647501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 - 59*k + 55. Let v be f(11). Solve -262 = -39*x + v for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(42*264\/(-594))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1160 + 0?\nAnswer: -1160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1398, -4765, -10928, -17091?\n\"Answer: -6163*c + 7561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1313 divided by 2898.\nAnswer: -1313\/2898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -5, -0.011?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0602+-0.19\nAnswer: -0.1298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2. Let f(o) = 9612*o**2. Calculate f(p(h)).\nAnswer: 86508*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*i + 6 - 28, 4*i = 2*m - 62. Let a(y) = 27*y**2 + 15*y**2 - m*y**2. Let h(c) = -c. What is a(h(o))?\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/5 - 72*p**3\/5 + 16064*p**2\/5 + 116640*p + 220320 = 0. What is p?\nAnswer: -90, -34, -2, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 0. Suppose j*u - 35 = 9. Let n = 10 - -1. What is the highest common factor of n and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 7, 20, 35, 52, 71?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*k - 3*k + 11200004, -5*k - 2799980 = z. What is z rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvnlnbw. What is prob of picking 1 q and 2 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27327283?\nAnswer: 27327283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + r + 2. Let c be 2\/3*6\/4. Let a(s) = -s**2 + 1. Let g be a(c). Give k(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6)\/n)\/n)**(-2\/167)\/(n**(3\/2)*n)**(-6\/25) assuming n is positive.\nAnswer: n**(581\/835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (56 + -57 - (2 + -16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25 + -21 + 1*-5. What is the units digit of 0 - (3\/(4 + c) + -63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36690 (base 14) in base 16?\nAnswer: 20796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*6\/(-60)*(3 - 5). Which is smaller: 1\/127 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163700*i**4 - 173680*i wrt i?\nAnswer: 1964400*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.85 and 2.015.\nAnswer: -1.71275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 2*w - 1. Let f be y(3). Suppose -2*c + g = -13, 0*c + f*g + 19 = 3*c. Suppose 5 + c = 4*v. Solve 6 = -v*i + 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7314)\/198 - (28 + -65)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-12))\/((-30)\/(-45)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (-5 + sqrt(304)*-2 - sqrt(304) - (sqrt(304) + -1*sqrt(304)*-1))**2).\nAnswer: -45720 - 1200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-1)*(-5)\/10. Let k = c + 0. Calculate the remainder when 11 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(3 - (-1 + 3 - 1)). Let v(k) be the first derivative of -1 + 1\/8*k**d - 1\/12*k**3 - 1\/16*k**4 + 1\/4*k. Determine t so that v(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.3, -7\/4, 3, 2 in descending order.\nAnswer: 3, 2, 0.3, -0.2, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -314 - -351. What is the hundreds digit of (s*7)\/((-3)\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -19. Suppose -p*j + 8*j = -150. Let z = j - -1. What are the prime factors of z?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 99\/5 in 3, 16\/5, 6\/23?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79511287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**2\/5 - 11976*j\/5 + 939939\/5 = 0. What is j?\nAnswer: -4069, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**2\/7 + 1716*z\/7 - 1744 = 0.\nAnswer: -436, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 6*m - 7. Let r(d) = -d**2 + 7*d - 8. Let x(z) = -6*o(z) + 5*r(z). Let c be x(2). Solve 4*f - 2*s = c, 0 = -3*f + s + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -3882104\/99 and -39214 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81337376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p + 0 + 1\/6*p**3 + 17*p**2. Let s(w) = 2*w - 9. Determine -2*f(j) - s(j).\nAnswer: -2*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p - 19 = -4*n, 0 = 2*p - 10. Suppose n*f - 440 = 2*f. What is the greatest common factor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1453399221.\nAnswer: 3, 19717, 24571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39045405 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2452957176 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 497 + -529. Is -29 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 62069700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, z: 4, v: 1, d: 3, x: 4, q: 1}. What is prob of picking 2 x and 2 z?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 30, 57, 84?\n\"Answer: 27*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 8:54 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10261*u**2 + 8*u + 1992161.\nAnswer: 20522*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 4*b + 1. Let f be x(-7). Let j = -26 - f. Let r be ((-128)\/12)\/(4\/j). Calculate the highest common factor of r and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1202437 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4*l + 22 = -2, -4*h - 3*l = -20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/15 - (-356)\/(-6). Calculate the remainder when ((-4)\/16*2)\/(1\/l) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24250623 to the power of 1\/2, to the nearest integer?\nAnswer: 4924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 12*j**3 - 532227648*j**2 - 532227657*j - 133056915 = 0.\nAnswer: -1\/2, 44352305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/3 - -1)\/(594\/(-18) + 38)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/3)\/(3\/81)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 11 + 2 + 7 + 4*m**3 - 123*m**2.\nAnswer: 4*m**3 - 123*m**2 + 5*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -1.2. Let z = 308 - 308. Which is the nearest to 0.3? (a) 3\/2 (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 3 - -1*4. Suppose -6*h - b*h = -8. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 127, 773, 1939, 3625?\n\"Answer: 260*h**2 - 134*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17420\/364277 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w. Let j(n) be the second derivative of -n + 0 + 0*n**2 - 1\/3*n**3. What is g(j(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -28968.\nAnswer: -28971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24110, -20008, -15906, -11804, -7702?\n\"Answer: 4102*u - 28212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*o - 63*o - 62*o + 256*o - 68*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 63?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - w = -1, -k - 22 - 1 = 5*w. Suppose 8*i = k*i + 102. Suppose -5 = -5*j - 5*m + 10, -9 = -3*j - 2*m. Solve -j*z = 5*y + i, -7 + 5 = -2*y + z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3062, 8016, 12970, 17924, 22878?\nAnswer: 27832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(121)\/sqrt(11) + sqrt(99)\/(sqrt(9) - sqrt(441)) + 1 + (sqrt(396) - (sqrt(396) + 5 - sqrt(396) - sqrt(396))*2))**2.\nAnswer: -429*sqrt(11) + 227855\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 5*h**2 - 2*h + 3. Let l = 3 + 2. Calculate u(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89800847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 30 = -5*a, 4*a + 3*x = x + 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*f = -4*y + 238*f, 2*y + 2*y + 2*f + 12 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 197, 394, 577, 746, 901, 1042, 1169?\n\"Answer: -7*n**2 + 218*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = d - 142, 30*q - 55*q = 2*d - 22*q + 27 + 25 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 0.2 (c) 557 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 7 = 3*f - f + 23, -150*f = -149*f - 49*n + 196 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22741, 18838, 14935, 11032?\nAnswer: 7129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**4 + 1 - 31*w**2 - 2*w**3 + 31*w**2 as k*w**4 + q + h*w**2 + i*w**3 + o*w and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/5))**(-1\/5))**(-24) assuming s is positive.\nAnswer: s**(72\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 18 = 4*n, 5*n - 16 + 1 = 5*w. Suppose 4*y + n*v = 118 + 66, 5*y - 202 = 2*v. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/6)\/(24\/(-400)*-285)?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 = -d. Let j(n) = 3*n - 21. Let g be j(9). Let r be -10*(g\/4 - 1). Sort d, -6, r.\nAnswer: -6, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/532 + 23454440\/95 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/1352 and 73\/572.\nAnswer: 14872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 5\/6, -4, 2\/9, 12 in decreasing order.\nAnswer: 12, 5\/6, 2\/9, -0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkd when three letters picked without replacement from {d: 4, k: 1, t: 1, h: 1, z: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-45)\/(-162) + 2\/(-4). Let i be ((-8)\/10)\/(3\/(-15)). Let o = 3.02 - 0.02. Which is the closest to x? (a) o (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4525808 millilitres in litres?\nAnswer: 0.0004525808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c = 0. Suppose c*r + r + 4*s = 0, -3*r + 3*s = -30. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11464761 divided by 3821587\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7298479 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214410 + 4?\nAnswer: -214402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(12773*j + 12092*j - 25583*j)*(-2 - 1 + 4).\nAnswer: 2154*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*v**4*w + 14963*v*w**2 + 9*w**2 - w - 1198 wrt v.\nAnswer: 16*v**3*w + 14963*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 93 = -0*f. Let a = -38 - f. 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 the millions digit of 2778731368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1381415 - 1939915. What is n rounded to the nearest 10000?\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6588826 - -104244.\nAnswer: -6484582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88034 is divided by 1224.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 - 7*x + 3. Suppose 0 = -i + 2. Let q(r) = r + r**2 + r - i*r**2 - 1. Suppose 90 = -m - 8*m + 27. What is m*q(p) - 2*a(p)?\nAnswer: p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/((g**(-1\/4)\/g)\/g))*g)**(-2\/17)\/(g**(-5)*g*g**0*g*g) assuming g is positive.\nAnswer: g**(69\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 55962, 55972, 55990, 56016?\n\"Answer: 4*w**2 - 2*w + 55960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -65. Let o = 0.163 + 24.837. Let i = p - o. What is the closest to -2\/5 in i, 3, -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28228261365.904 - -3.\nAnswer: 28228261368.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 6276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/6*792\/55. Let p be ((-188)\/v - 4)*-2. Which is the biggest value? (a) -4\/5 (b) 12 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1260 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9066 is divided by 2263.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 968672 + -522483. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtggtdcggtv. Give prob of sequence dtvd.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2216*k - 800*k - 727*k - 150 = 839*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -812606 and 771?\nAnswer: 813377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, n: 3, r: 4, g: 1, f: 2}. What is prob of sequence gr?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 + -0.14. Let r = x + -4.09. Let n = -12\/73 + 34\/1095. What is the closest to n in -0.1, r, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a + 5*a**2 - 6*a - 3*a**2 - 3*a as f + c*a**2 + h*a and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 2*o + 1\/3*o**3 + o**2 + 17. Let u be r(-2). Solve -5*h + 2*x = 29, 0 = -3*h - 5*x - u - 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/10 and (3030\/225)\/(8\/5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -83*i**3 - 6*i**2 + 23*i - 30. Let z be w(2). Which is smaller: z or -674?\nAnswer: -674","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -487 - -515. Suppose 100 = 2*g + 4*u, -5*u = -11 - 9. What is the greatest common factor of l and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1346 - 928. List the prime factors of i.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 1. Let p be g(5). Let a = p - 7. Solve 0*o + 3*n = -2*o - 25, -2*o = a*n + 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 4008482320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -213152*k + 1278918. What is o(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*b - 2394 = 659. Let w = 29 - 75. Let s = b - w. Solve -s*n - 4 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -10 - 66. What is the remainder when w is divided by 4\/(-5)*(-25)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or -3891236?\nAnswer: -3891236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1524*j - 42689. Give b(28).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9536803.\nAnswer: 19, 107, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 10:31 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16077 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-39)\/26)\/((-36)\/(-784)))\/(6\/(-72)*-4).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 243, 907, 1845, 2913, 3967?\n\"Answer: -24*x**3 + 281*x**2 - 11*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 0.144?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -89 (b) -3\/2 (c) 1726\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 3*v**2 - 49*v - 6462. Give q(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*q + q. Which is the biggest value? (a) -2\/13 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*n**3 - 148*n**4 + 2 - 19*n**3 + 2*n + 147*n**4 in the form w*n + z*n**4 + m*n**3 + g*n**2 + h and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -588 - -589. What is the third smallest value in -2, -4\/7, -8.5, j?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -3*u + 12, -u + 184*q = 195*q + 200 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 1427*w**2 - 42135*w - 314325.\nAnswer: -(w + 15)**2*(w + 1397)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 12 = -9*r. Let z(m) = 6*m - 3. Give z(r).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 12*z + 44. Let w be y(9). Suppose -10*o + w*o = 21. Solve -o*d = 2*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9 (b) 0.2 (c) -1\/6 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t + 28 = 132. Determine o, given that 4\/13*o + 8\/13*o**3 + 10\/13*o**2 + 2\/13*o**t + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m + 927186 = 48*m - 7*m. List the prime factors of m.\nAnswer: 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78074 and 1339.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 3:15 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -834210984 by 208552746.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*z**5 + 3666*z**4 - 5*z**3 + 93341*z**2.\nAnswer: 540*z**2 + 87984*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8202 - 8197. Let p(v) = 4*v - 71. Calculate p(l).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2703 - 1533. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 3. Let o be b(4). Let t(k) = -2*k**3 + 2*k**2 - k. Let u be t(1). Let f = u + 2. What is the highest common divisor of f and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 10. Let a be m(8). Suppose 3*c - a*y = -c, 2 = -c + y. Suppose 4*l + 2 = 22. Sort l, c, -1 in ascending order.\nAnswer: -1, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 times -2.178239?\nAnswer: 341.983523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/5, -0.077, 3\/10, -0.5, 1.\nAnswer: -3\/5, -0.5, -0.077, 3\/10, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 17 - -18 - 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 4*s = 0, 14 = 3*s + 26 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-2 - (0 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -16590*z + 2. Let d(i) = 2*i**2. Determine c(d(k)).\nAnswer: -33180*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 356?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + 4 + -2 + 54 + -60.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from {x: 4, f: 1, z: 9}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.6183 - 9.83. What is z rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5474, 10965, 16464, 21971?\n\"Answer: 4*k**2 + 5479*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(-14)\/28?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.36 + 0.04. Let u = 0.43 + 2.67. Let m = -3 + u. Which is the biggest value? (a) 3\/5 (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*d*r + 6490*d + 723*r**4 + 2 wrt r?\nAnswer: -47*d + 2892*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**3 + 18*a**2 + 8*a - 20. Let g(r) = -9*r**3 - 37*r**2 - 18*r + 39. Let o(n) = -3*g(n) - 7*x(n). Let b be o(-16). Is b at least 312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1014 + 1052. Let n(g) = 11 + g**2 - g + 2*g**2 - 2. What is the remainder when n(7) is divided by k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/1368 and -29\/7290.\nAnswer: 554040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48408 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -29\/2, -3\/5, 2, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.6 + -2.6. Let b = n + -11.8. Is -1\/4 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(-7) - 12\/(-42). Suppose -2*b - 1 = -3*o - 2, -i*o = -b - 7. Suppose 39 = o*q - 3*l, 0*q - 29 = -2*q + 3*l. Solve -p = 4*p + q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122 + -39869.\nAnswer: -39747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 2*q - 2. Let t be y(3). Is 14 a factor of ((-20)\/4)\/(t\/(-19))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 15, -2*u - 2*u - 48 = -4*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27131131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1443 + -0.0557. Which is the nearest to -2\/3? (a) -7 (b) 0.1 (c) r (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1 - 2*y**2 - 6*y**2 + 4*y**2 + 5*y**2 - 2*y = 0. What is y?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -387500 to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -238, -486, -736, -988, -1242?\n\"Answer: -s**2 - 245*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1663 or 0?\nAnswer: -1\/1663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475*s + 1753*s - 590*s - 553*s.\nAnswer: 135*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v - 6*v**4 + 1731*v**2 - 1731*v**2 - 4 + (-1 + 5*v**4 + 1)*(-3 + 6 - 5).\nAnswer: -16*v**4 - 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 5\/394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r. Let c(f) = -3*f. Let o(n) = 8*c(n) + 5*d(n). Let x(z) = 20*z - 8. Let i(l) = -13*l + 5. Let v(k) = -8*i(k) - 5*x(k). Determine -9*o(b) + 2*v(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946284914.\nAnswer: 2, 473142457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 235981 to the power of 1\/2, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 28, 18, 6, -8, -24?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 946397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6672.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130 + -40. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 + 24. Suppose -16*i = 2*o - 18*i + 154, -3*i = -5*o - 375. Let s(h) = -1. Give o*s(x) - 3*p(x).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - (9 - 5)) + 145*1.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395.5052mm to meters.\nAnswer: 0.3955052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1819 - -1829. What is the remainder when 348\/9 + -2 + (-10)\/(-30) is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51329194?\nAnswer: 2, 7, 3666371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**4\/8 + 5*i**3\/3 - 88*i**2. Calculate j(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7438)\/(-6))\/((-228)\/2). Let k = 62\/19 + x. Calculate the common denominator of k and 103\/20 - (1 + 1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1066*u**2 - 9557*u + 299. Determine l(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.0755199868 from -0.00516.\nAnswer: 2.0703599868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g + 2*g + g**3 - g - 2*g**3 - 7. Let c(s) be the second derivative of -s**3\/6 - 3*s**2\/2 - 41*s. Determine -2*a(w) + 5*c(w).\nAnswer: 2*w**3 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x**3 + 76*x**2 - 280*x + 368. Let v(b) = 10*b**3 + 147*b**2 - 560*b + 732. Let h(a) = 4*v(a) - 7*z(a). Suppose h(w) = 0. What is w?\nAnswer: 2, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 6*x + 16. Let d(u) = u**2 + 5*u + 2. Let t be d(-6). Let r be j(t). List the prime factors of (-80)\/(-4) - (r + -3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**5\/19 - 270*f**4\/19 + 604*f**3\/19 + 570172*f**2\/19 + 9330594*f\/19 + 8761298\/19 = 0.\nAnswer: -23, -1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 0*r + 41 - 4*r. What is the tens digit of f(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.8 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4116)\/(-5145)*7\/(-7)*21\/6?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 0*j + j)*(j**2 - 2*j**2 - j**2) - 2*j**2 + j**3 + 13 - 13.\nAnswer: 5*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9262, 18469, 27674, 36877, 46078, 55277, 64474?\n\"Answer: -a**2 + 9210*a + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 197*y - 4 = 195*y, -5 = v + y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -15*r + 45 + 27 - 259. Let t be d(-13). Solve -t = -3*w + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 + p**2 + p - 2. Let f(g) = 5*g**3 - 5*g**2 - 4*g - 113. Determine -f(j) - 3*n(j).\nAnswer: j**3 + 2*j**2 + j + 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -742.\nAnswer: -1\/742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45315 + -18935. Let k(a) = 2*a**3 - 29*a**2 + 35*a + 80. Let s be k(25). Let i = s - w. What is i rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3 + 5 - 23 - 1317*d**2 + 12 in the form o*d**2 + h*d + j and give o.\nAnswer: -1317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*r - 152 = 0, 0 = 3*n - 0*n + 5*r - 456. Suppose -74*j**3 - 85*j**2 - 73*j**3 - 320 + n*j**3 + 400*j = 0. What is j?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*i - 24 = 0, 4*h - i - 4*i = 18. Let l(m) = m + 3 + 0 - 5 + 0. Let q be l(h). Solve 2*j = 5*u - 10, q*u - 2*j - j - 10 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4739, -4738, -4737, -4736?\n\"Answer: f - 4740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 11*j**2. Let p(h) = -7*h**2 + 4. Give p(s(l)).\nAnswer: -847*l**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114.494 + 114.49280921. Round b to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -2 (b) 0.3 (c) 4\/9 (d) 549 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.05 - 0.88. Let g = -10.17 + v. What is the second biggest value in 0.06, -0.5, 5, g?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-5)\/20*-2). Let g be 25 + -23 + (-4)\/(v + 0). Let w(r) = r**2 + 2*r - 8. Let f(l) = l**2 + 2*l - 7. Let j(s) = g*w(s) - 5*f(s). What is j(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**3 + 192112*y**2 - 32637365*y + 1386780950 = 0?\nAnswer: 85, 191942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 73 = 4*b, -2*b - 6 + 50 = -4*v. Let g(t) = t**3 - t**2 + 5*t + 176. Let h be g(0). Calculate the greatest common divisor of b and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1270760 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5412, -5372, -5278, -5112, -4856, -4492, -4002, -3368?\n\"Answer: 3*m**3 + 9*m**2 - 8*m - 5416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 106, 168?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3148059 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 209.3 + 0.02.\nAnswer: 209.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9762.8 + 9763. Let y = -227\/648 - 2\/81. Sort c, 5, y, 0.04 in decreasing order.\nAnswer: 5, c, 0.04, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05044111 to 5 dps.\nAnswer: 0.05044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 - 4*x - 65 - 416 - 92.\nAnswer: -4*x - 426","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 6*z + 7. Let s be h(-5). Let n(o) = -10 + 3*o**s - 4 - o + o**3 + 3 + 8*o**2. Let p be n(-11). Solve a = -p*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.4 + 32.4. Let z = s - 14.1. What is the second smallest value in -2, z, 2\/3, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/2 (b) -2 (c) -1606 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 144364*h**2*v + 910429*h**2 + 2*v wrt v?\nAnswer: 144364*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**2 + 840*i + 22780 = 0. Calculate i.\nAnswer: -134, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -675993 + 983752. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -627*v**4 - 1235*v**3 + 913035*v**2?\nAnswer: -15048*v - 7410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4 + 11*o**2 - 3*o**2 + 3*o**3 - 4*o**3 + 9*o. Let l be h(9). Solve 10 = 2*n, -l*z - 7*n + 41 = -2*n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3 = q, 0*i + i = -5*q - 18. Let k be (2\/(-30))\/((-8)\/(-24))*i. What is the nearest to 0.1 in 2, k, 17?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*w + 12. Suppose 0 = -w*y + 3*y. Solve -2*c + 15 = -y*d + 3*d, -9 = -4*d + c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2 + 28\/16). Suppose 3 = 2*u + k, 2*u = -0*u - 2*k + h. Suppose -3*s + 403 = u. List the prime factors of s.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 5*x**4\/12 + x**3\/6 - 51*x**2\/2 - 3*x. Let h(g) = -g**2 + 10. Let b(r) = -11*h(r) - 2*i(r). Determine b(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5232 = -8*f - 5208 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6 - 2 - 2*v + 7 - 2. Let x be (21\/(-2))\/(18\/(-12)). Give s(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 10:13 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 21, 4 in descending order.\nAnswer: 21, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*x - 50 = -130*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.866 + -0.134. Which is bigger: -0.1 or h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10*l**3 - l**2 + l - 1. Let h(v) = -v**2. What is b(q) - 3*h(q)?\nAnswer: 10*q**3 + 2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 4:15 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212 (base 3) in base 2?\nAnswer: -110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 185514841*r**3 - r**2 - 24523666*r?\nAnswer: 1113089046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-144)\/70 - -2)\/((-53)\/530). Factor -6\/7 - z*f + 2\/7*f**2.\nAnswer: 2*(f - 3)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1363 - 936385*n**4 + n**2 + 3*n + 935470*n**4 - 358 wrt n?\nAnswer: -21960*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(264\/(-11))*1\/3\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -9*n + 28. Let r(o) = 16*o - 56. Give 4*r(t) + 7*y(t).\nAnswer: t - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*m - 86*m = -4*g - 50, 0 = -2*g - 4*m - 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33955 + -17323. What is the greatest common divisor of y and 432?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**5\/7 + 4533*m**4\/7 + 2496780*m**3\/7 = 0.\nAnswer: -429, 0, 1940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 12*a**2 + 2*a + 4. Let k be c(-6). Suppose -6*f - k = -8*f. What is the common denominator of f\/(-28) - -4 - 40\/14 and -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 19 = -4*p, -3*p + 629 - 653 = -4*x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1408*g**3 - 999*g**3 + 12 - 13 - 2*g.\nAnswer: -2407*g**3 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -22*x. What is g(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/621 and 17\/99.\nAnswer: 6831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 - 140*y - 288 = 0. What is y?\nAnswer: -2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 3:20 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1015 - 494. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**6\/120 + b**5\/5 + b**4\/8 + 5*b**3\/2 + 4*b**2. Let n be x(-12). Let v = n - -43. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(320) + -2)**2 + sqrt(320) + sqrt(320) - ((sqrt(320) + sqrt(320) + 0)*1)**2.\nAnswer: -48*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28547 + -708.44579.\nAnswer: -708.16032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 31*g**2 - 6*g - 73. List the prime factors of u(-32).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(10\/3)*c)\/c)\/(c**22\/c) assuming c is positive.\nAnswer: c**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -327 smaller than -4569\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6966439\/1054 + 881804543\/133331. Let g = 8\/713 + u. What is the common denominator of g and (-4)\/6 - 274\/36?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r - 3*p = 2, -r = -4*p - 18. Let k be (r + 0)\/4 + 195\/30. Suppose -12 = k*d - 712. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - h - 7, -30*t + 2 = -32*t + 4*h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-544)\/56 - -10 - 990\/(-14). Is 70 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1012000012?\nAnswer: 1012000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 68*k**2 - 8*k - 5. Let l(o) = -69*o**2 + 6*o + 4. Let c(s) = 3*a(s) + 4*l(s). Let t(f) = 2*f. What is t(c(b))?\nAnswer: -144*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 12. Let a be j(-14). Suppose 0 = 4*l - 9*l + a. Solve -h - 3*h - 4*t = l, -3*h + 2*t = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuaduuauuduuauuuu. Give prob of sequence au.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccnh when four letters picked without replacement from {n: 1, k: 2, h: 1, c: 5}?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**2 + 2*n + 837 wrt n?\nAnswer: 4*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1178 - -38644. What is the ten thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23800\/87327 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11400, -16386, -21324, -26190, -30960?\nAnswer: -35610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 1. Let z be o(4). Let y be 24\/z*3\/2. Solve y*k - 12 = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 3*c**2 - 3*c**2)*(-c**3 + 4*c**3 - 2*c**3) - 8*c**3 + 9*c**5 + 8*c**3.\nAnswer: 8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147017567 is divided by 994.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.92 - -19.92. What is the second biggest value in s, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 12 = 4*r, 46*r + 4*i = 50*r - 36 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 46152 = -26888. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 641 = 655 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -513 - -108. Which is greater: v or -406?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310222151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 37 = -4*k + 619, -3*k - 2*j + 433 = 0. What is the greatest common divisor of 20 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 75 = -3*u + 3*r, 0 = 4*u - 5*r - 100. Let p = 4182 + -4179. Let k be 32\/6 - 1\/3. Solve x + 6 + p = -2*g, -u = k*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*j + 6*q - 20, -20 = 2*j - 5*q. Suppose -5*s + 158 + 2 = j. Is 10 a factor of 600\/s + 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 1295 (c) -11 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.3 + -2.3. Let t = 19 + -9. Let s be t\/4*(-2)\/20. What is the third biggest value in q, s, 1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 1\/7, -3, -1, -2\/713?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 288606760 divided by 10?\nAnswer: 28860676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2 - 1603565*x - 1603560 = 0. Calculate x.\nAnswer: -320712, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*a - 128 + 125, 3*x + 3 = -2*a. Sort -3, -5, 16, x in decreasing order.\nAnswer: 16, x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = x - 10. Let d be (-6)\/(-9)*x\/(-10). Factor 0 + 0*k - d*k**2.\nAnswer: -k**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**3 + 38*d**2 + 14*d - 8. Let s be x(13). Solve -s*g = -g - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.1, 0.4, -7 in descending order.\nAnswer: 0.4, -0.1, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Differentiate 5*h**f - 2*h**2 + 5 - 8*h**2 + 0*h**2 with respect to h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (40\/(-24))\/(2\/6). Let t(f) = f**2 + 9*f + 4. Let o be t(g). What is the tens digit of (76\/o)\/((-1)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/((-55)\/(-1012)))\/(-2*(-3)\/390) a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 + 135 + 28*i**2 - 399 + 133.\nAnswer: 28*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - 0.1. Let v(k) = k**2 - 8*k. Let t be v(8). What is the second smallest value in -0.5, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 37 - 46 + 37 - 17*s + 19*s**2. What is the tens digit of i(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)*-3 - sqrt(6))\/sqrt(2).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -15*z**2. Let k(d) = d - 48. Determine k(q(t)).\nAnswer: -15*t**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + t + 115 = -11, 4*m = -2*t + 498. What is m rounded to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f + 66 = -23*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130227729?\nAnswer: 3, 19, 2284697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 757539951 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -157*r**2 - 2. Let k(h) = -135491*h**2 - 1727. Determine 1727*c(p) - 2*k(p).\nAnswer: -157*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 - 24*h**3 - 506*h**2.\nAnswer: 2*h**2*(h - 23)*(h + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1277047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 3*t + 8, 0 = 5*p + 4*t + 77 - 64 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 588, 532, 376, 66, -452, -1232, -2328?\nAnswer: -3794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-112)\/12)\/((-2)\/(-87)). Let u = 620 + r. Suppose -3*h + 646 - u = 0. What is the greatest common divisor of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 594 and 1623732?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - o**2 + 3*o. Let g(j) = 2*j - 2*j**2 - 5*j + j**3 + 3*j**2. Let n(r) = -6*g(r) - 5*m(r). Is n(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0 - 9 + 0*r + r - 15*r**2 + 16*r**2. Let n be p(3). Solve -3*x + 5*x = -n*d + 8, 4*x = 2*d - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1466621, 2933252, 4399881, 5866508, 7333133, 8799756, 10266377?\nAnswer: 11732996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from qrqytdt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24410548 and 111664.\nAnswer: 3988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g**2 + 39185*g + 39110*g - 78295*g + 0*g**2.\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*a + 2022 = -38*a - 1606 + 20 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 14. Let h = 10 + 2. Let y(i) = i**2 - 6*i - 5. What is the remainder when y(h) is divided by o(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -132, -260, -386, -510, -632, -752, -870?\n\"Answer: i**2 - 131*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-162)\/(-45) + (6\/(-10))\/1 is divided by (-20)\/50 - (-24)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = -4, -2*p = a - 14. Suppose -a + 3 = -3*y + 3*n, -n = 4*y - 4. Let q(o) = -o - 7. Let i be q(-8). Are i and y unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 597*z + 2358. What is d(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fofofhfofohojho. What is prob of picking 2 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -7) + 1 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 9. Suppose 5*d = 3*d - 3*t + 7, -y*d - 6 = 2*t. List the prime factors of d\/6 - 70\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6043152 is divided by 2014380?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6565 + -4234. Suppose -2*f + 9*f + a = 0. Let c = 712 + f. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c + 5*c + 5*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by -8?\nAnswer: -43\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*w + 19*w**2 - 3*w**2 + 68*w wrt w.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + (sqrt(136) - -1*sqrt(136)))\/sqrt(8)*5)**2 - ((sqrt(68) - (sqrt(68) - sqrt(68)*-2) - sqrt(68))\/sqrt(4) + 5).\nAnswer: 3*sqrt(17) + 3820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2838 + 2838 - 314*h**5 + (h - 2*h - h)*(3*h**4 + 3*h - 3*h) + 4*h**5 - 5*h**5 - h**5 + (-h**5 + h**4 - h**4)*(2 + 2 - 5).\nAnswer: -321*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - 13*o - 4. Let f be c(-6). Let q be ((-1 + 2 - 2) + 3)\/f. Sort -4, 5, q.\nAnswer: -4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.38 in -2\/3, 23, -0.2, -89?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*55*13\/520)\/(-9*(-6)\/1296)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1619 is divided by 802.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(448) - (sqrt(448) + 3*sqrt(448) + -4)**2).\nAnswer: -1584*sqrt(7) + 43104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1671 and 7?\nAnswer: 11697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, n: 5, l: 1}. What is prob of picking 1 o and 1 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 24. Calculate s(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/28 + (-1476)\/(-252)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (((-6*(sqrt(500) + 1))**2 - sqrt(500)) + -4)*-3) + -2.\nAnswer: 8520*sqrt(5) + 216386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 621 divide 359409960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + -53. What is the remainder when 40 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 4. Let l be 2\/8*(-1 + 125\/85). Put x, l, -2\/9, 3 in descending order.\nAnswer: 3, l, -2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20822?\nAnswer: 2, 29, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 504\/(-20178) + 11 + -11. Is o smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b2a59 + 1?\nAnswer: 7b2a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -556 - 968. Let g = 1523.9373 + h. Round g to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2 + 2)*(2*t - 2*t - 2*t) + 7 - 2*t**2 - 5*t - 11 + 8.\nAnswer: 2*t**2 - 5*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1078 by -22.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (4 - 5) + -7 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 579 - 499. Calculate the greatest common factor of q and 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 j when three letters picked without replacement from {b: 1, n: 2, e: 9, j: 2}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**0*o**(-1)*o**(-5)*o**(4\/7)\/o*o assuming o is positive.\nAnswer: o**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.7824404 months to decades.\nAnswer: 0.01485367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20572596 divided by 4\nAnswer: -5143149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29, -26, -19, -8?\n\"Answer: 2*k**2 - 3*k - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 24 - 2*t**2)*(15 + 14 - 23)*(-3*t + 3*t - 6*t).\nAnswer: 72*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54397463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1224, -1544, -2078, -2826, -3788, -4964, -6354?\nAnswer: -7958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {x: 1, m: 1, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -8*l**3 + 7*l**2 + 16*l + 196. Does 8 divide u(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874511869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -162*u. Let p(v) = 2*v**2 + 31 + 4 + 31 - 66. What is p(l(z))?\nAnswer: 52488*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2547.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2150420\/21 + -102517. Let d = 116 + b. Let u = d - -3\/14. What is the third smallest value in 3\/4, 0.1, u?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 - 81*x + 930. Calculate w(19).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/351, 2\/25, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y. Let w(p) = -2*p - 389. Give s(w(n)).\nAnswer: -10*n - 1945","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from juuep.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(117) + sqrt(117) + (-1 + sqrt(117))*1 + -5 + -1*sqrt(117) + (sqrt(117) - 4*(sqrt(117) + 0)) + 1)**2.\nAnswer: -300*sqrt(13) + 11725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 64 - 61. Which is the closest to 1? (a) 0 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711 < 968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248547 is divided by 2056.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 1. Let z(l) = 2*l - 47. Give p(r) - z(r).\nAnswer: -r + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s - 516. Let q = s + 87. Calculate the common denominator of 18\/q - (-338)\/(-175) and 65\/8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(300) - -2*sqrt(300)))**2.\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 10376075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 56544\/35, 2\/7, 2, 0 in increasing order.\nAnswer: 0, 2\/7, 2, 56544\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36871919?\nAnswer: 7, 5267417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31355\/14 - -2238. What is the common denominator of 6\/(-8)*(-66)\/27 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 1:52 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -48*s**3 - s**2 - s + 1. Let g be a(1). Let w be (-26915)\/g - (-4)\/(-14). What is the third derivative of -4*q**2 + 549 - w + 6*q**3 - 3*q**3 wrt q?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -145261 < -145224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -554 + 585. Calculate the remainder when 183 is divided by r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9389029.\nAnswer: 13, 151, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**5 - 224949*k**4 - 219*k**3 - 1007730*k**2 - k + 93?\nAnswer: -120*k**2 - 5398776*k - 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 k, and 2 j when four letters picked without replacement from {v: 2, h: 2, m: 3, k: 8, j: 4}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -5 (c) 2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12143122 (base 5) to base 9\nAnswer: -185275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -17*t + 86. Let x be f(5). Put 3, -1, x, 4 in decreasing order.\nAnswer: 4, 3, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 2. Suppose -q = 2*q - h. Suppose 0 = -4*s + 18 + q. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(95) - 1*(sqrt(95) + (sqrt(95) - (sqrt(95) + sqrt(95)*1))))\/(3*sqrt(180)).\nAnswer: -sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 21*p + 23*p = 4, -5*w - 4*p = 36 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*j - 1, 4*k + 8 = -3*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 3*a**2 - 3*a. What is i(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -27, 4 in ascending order.\nAnswer: -27, -11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f**2 + 16. Let r(o) = -3*o**2 - 5. What is -5*j(g) - 16*r(g)?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -237*g**3*t - 21*g**3 - 6*g**2 + g*t**2 wrt t?\nAnswer: -237*g**3 + 2*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, x: 11}. Give prob of sequence xmxm.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 12*c + 14. Is 35 a factor of t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - k + 1. Let m(q) = 9*q**2 - 3. Let n(b) = 2*l(b) + m(b). What is the units digit of n(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -662\/37 + 9281\/740. Find the common denominator of d and -29\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 9*b - 39549 = -m, -3*m = -b - 118675. Is 44 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -13*z**2\/2 + 23*z - 409. Let b(r) = 2*r - 4. Give 34*b(t) + 6*m(t).\nAnswer: -10*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t + 5*i - 10 = 16*t, 5*i + 5 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -5 (b) 0 (c) -76 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23939.39 + -22652.4457. Let j = b + -1287. Round j to 3 dps.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1401702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -2. Let m(x) = -x**3 + 13*x**2 + 13. What is the tens digit of m(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 40290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 29. Let m be (-1 - 3 - 0)*-13. Let h = m + -362\/7. What is the smallest value in 2, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0.9. Let k = w - -0.1. Let c = 0.6 - 1.1. What is the nearest to k in -0.3, c, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 644 + -489. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 941 + -3735\/4. Find the common denominator of -47\/3 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 11:25 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35102600 + 18?\nAnswer: -35102571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r - 2*r - 3*r)*(-2*r + 5*r + 3*r)*(2 + 2 - 2) + 54515 - 54515 + 300*r**2 as z*r**2 + l*r + u and give z.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 161 = 2*j - 31, -4*f = 2*j - 154. Solve 2*b = -3*s - 16, 36*b = -5*s + f*b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -0.9 (c) -61 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, -147, -965, -2569, -5223?\nAnswer: -9191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -57403900 smaller than -57403890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 123?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(r + 2*r - 4*r) - 2*r + 2*r + 3*r + 5*r - 8*r - 4*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60164003098 + 60164002691.000001644. Let k = q - -407. What is k rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0542202 - 102.6302602. Let c = 71.5757 + j. Let v = c - -31. What is v rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + -2.8. Let i = 1.6 - k. What is the closest to -2\/9 in i, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112721781.\nAnswer: 3, 17, 23, 96097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -37*n - 72. Let p be (8\/5)\/((-9)\/90). Is r(p) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*z + 4*h, -z - 1 = 3*h - 2. Suppose 0*g + 3*g + 3 = 0. Let n = z - g. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.1 - 12. Let q = u - 1.6. Which is the closest to -0.1? (a) -3 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtkddtttdkt. Give prob of sequence kt.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 553, 1240, 2201, 3436, 4945?\nAnswer: 6728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 1. Let h be t(-1). Suppose h*o - 6*o = -80. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 53 = -485. Let u be (-2)\/(-3)*(-81)\/t. Which is the nearest to u? (a) -1 (b) 1\/3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11892 - 11884. What is the smallest common multiple of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from hkkookkkkk.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 165 = 273. Let p = k - 12. What is the greatest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 250*d*k**4 - d - 34034*k**5 - 19*k**2 - 21919*k wrt k.\nAnswer: 6000*d*k - 2042040*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1501 + 2181. Let u = n + -679.99042. What is u rounded to 4 dps?\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 30*a**2 - 415*a + 6204. What is the remainder when s(15) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (8 - -3) + -8 - 4) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2298 + 2307. Let k = -0.01 - -0.21. What is the fourth smallest value in k, 4, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7931313?\nAnswer: 3, 13, 67789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*q - 6 + 25. Let y = -15 - -15. Let g be -8 + (4\/12)\/((-4)\/12). Sort 2, g, y, q.\nAnswer: g, q, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48579 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*d - 3. Let s be (0 - d)\/((-3)\/(-6)). Solve i - 3*i - 16 = -s*f, 2*f - 12 = 3*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - b = 137, -y - 2*y - 2*b = -122. Suppose 73 = 2*d + h - 0*h, -y = -d + 2*h. Suppose 4 - d = -q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -17?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*q + 2*b, -5*q + 0*b = -2*b - 2. Solve -v + 6 = q*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + -168759)*(20\/(-5))\/(-4). Let k = -86761 - n. Round k to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/1 + (-378)\/(-12). Let f = l - 431\/14. Which is the closest to -1? (a) -1\/6 (b) -2\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22986\/(-9)*(-6 - (-33)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 780, 798, 816, 834?\n\"Answer: 18*r + 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 + -66?\nAnswer: -7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/5*h - 6\/5 + 24\/5*h**2 + 9\/5*h**3.\nAnswer: 3*(h + 1)*(h + 2)*(3*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 864, -2, 1.096 in ascending order.\nAnswer: -2, 1.096, 864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 146906327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10395?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -168 - (5 - (-7 - -21)). Let o = s + 168. Solve o*a = 2*a + 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + -17 + (-14 - -25). Solve -19*w + i = 19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2672, -10178, -22504, -39638, -61568, -88282?\n\"Answer: 2*f**3 - 2422*f**2 - 254*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 267*q - 415*q - 133*q - 2*q**2 + 268*q + 278*q**4 - 2*q**3 to l*q**4 + m*q**2 + h*q + d + a*q**3 and give l.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - -5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001 - -121?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -131*k*o**4 + 20*k*o**2 + 645*o**5 + 6*o**3 - 5079*o**2 wrt o?\nAnswer: -3144*k*o + 38700*o**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 4) + 2\/(-2). Solve i*p + p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 67 and 68 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.98493292 + 1.\nAnswer: 9.98493292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 15 = -5*x, 2*d + 4*x - 10 = 7*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3 - 77024*a**2 = 0.\nAnswer: 0, 38512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 3:32 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 333*w**2 + 344*w + 2874. Calculate h(-334).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5642?\nAnswer: 2, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1293, -2, -4 in increasing order.\nAnswer: -1293, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9942 + 2061*o - 1034*o - 1028*o)*(3*o**2 - 3*o**2 - o**2).\nAnswer: o**3 - 9942*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*y - 9 = 0, z = -2*z - y + 17. Suppose p - 4 = a, -5 = -z*p + 2*a + 9. Solve -k = -p*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8457?\nAnswer: 3, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 77, 129, 189, 257?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 4:40 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6667*a*b**2 + a*b + a - 2*b**2 + b - 23662 with respect to a.\nAnswer: 6667*b**2 + b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.9 - -32.9. Let i = y - 27.5. What is the nearest to 0 in -1, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6\/(r*r**(-4\/3)))\/(r*r**5*(r*(r\/(r**(1\/5)\/r))\/r)\/r))\/((r\/r**2*r)\/r*r**(-2\/11)*r\/r**(-1)*r*(r*r\/(r\/r**2)*r)\/r) assuming r is positive.\nAnswer: r**(-872\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5 - 1. Let m(t) = -19*t + 2 - t**3 + 25*t - 10*t + 4*t**2. Calculate m(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 204*o**2 + 439 - 372 - 8*o**2.\nAnswer: -212*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196399, 785482, 1767103, 3141112, 4907359?\nAnswer: 7065694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/(-105) - 5) + (-4)\/(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207.93 minus -30123.767?\nAnswer: 29915.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/7))**(-2\/7)*c\/(c*c\/c**(-7))*c**(-2\/7) assuming c is positive.\nAnswer: c**(-424\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(6 - (6 - 43)). Which is the nearest to 0? (a) w (b) 3 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.67407 from -2.01.\nAnswer: -12.68407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 902589574?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 10*h + 18. Let w be j(-6). What is the remainder when (-16)\/w*315\/28 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/21 and 4 - ((-932)\/(-168) + -1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (-24 - (-29 + 7)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -43264*w**2 + 5824*w - 196 = 0.\nAnswer: 7\/104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 + -2 + 12 - (-8 + 13))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 299 + -889\/3. Let o(v) be the first derivative of t*v**3 + 0*v + 0*v**2 + 5\/2*v**4 - 2. What is the third derivative of o(s) wrt s?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 13*y**2 - 13*y - 8. Let r = 29 - 41. Let w be m(r). Let f = 0.4 - 0.2. What is the second biggest value in -1, -5, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 2. Suppose -20 = -4*v, 3*y = 4*y - 4*v + 11. Let k be t(y). Solve -3*a + 4*p = k + 11, -5*a - 3*p - 13 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9623629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224445 - 224445 + 890*c.\nAnswer: 890*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6648 and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 4*l + 29. Suppose -5*b - l = 0, 4*q + q - 30 = 5*b. Solve -3*d + 8 - q = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -70 (b) 1 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 100000111?\nAnswer: 100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-w + w - w)*(-4 - 6 + 6)*(0 + 3 - 1)*(1 - 5 + 2).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/7 and 9\/6770324?\nAnswer: 47392268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411*4 - (-5)\/1.\nAnswer: 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(-16))**(8\/5) assuming n is positive.\nAnswer: n**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 59805197, 59805200, 59805203, 59805206, 59805209?\n\"Answer: 3*c + 59805194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2398 - 382 = -163*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(208) - -2*2*sqrt(208))*6)\/(2*(sqrt(1536) + -1*sqrt(1536) - sqrt(1536) - sqrt(1536))\/sqrt(6)).\nAnswer: 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 227 - 227 - 27*h to the form o + f*h and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307885*l + 0 - 2 - 932823*l.\nAnswer: -1240708*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 0.09 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 8. Let g be (-1)\/(-1)*(11 + -6). Suppose -g*r = -0*r + 4*n - 53, -n - 7 = -r. Give y(r).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (200\/(-45))\/((-40)\/(-48)). What is the fourth biggest value in -1\/6, -7, 1\/6, a, -2\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 16. Suppose p = 2*k + 2. Suppose 0 = 2*g - y - 85, -91 = -k*g - 4*y - y. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -148538.8 to the nearest one hundred.\nAnswer: -148500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -33142 < -33155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + g + 1138 = 0, -5*z - 2382 = 3*g - 480. Is -376 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4591 and 709.\nAnswer: 325.5019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14794\/415 - 2909\/83. Factor -27\/5*i + g*i**2 + 54\/5.\nAnswer: 3*(i - 6)*(i - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -514532*m**5 + 3*m**2 + 204375*m + 4 wrt m.\nAnswer: -10290640*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwk when three letters picked without replacement from wcrkccccdco.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120131 and 36113?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -201 - -297. Let a = -61 + g. Suppose 0*p + a = 5*p. What is the highest common factor of p and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4249*s**3 + 4*s**2 + s + 4. Let h be p(-4). Round h to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1, 736.73?\nAnswer: 736.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/24484565 and -48\/3497795.\nAnswer: 24484565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2972 + -4.6571. What is v rounded to two decimal places?\nAnswer: -2.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-44) + 0 + 146\/104?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(((1*sqrt(12))\/sqrt(6) + -4)**2 + sqrt(20)\/(sqrt(70)\/(sqrt(14)\/sqrt(2)))).\nAnswer: -113 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*n = 33*n + 85. Suppose -5*s = -5*o + 32 + 23, -s = 5*o - n. Calculate the highest common divisor of o and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.23 from 2080.3876.\nAnswer: 2080.1576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 404 - 407. Let y be (d\/3)\/(-3)*12. Solve -5 = j - y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004812315 rounded to 6 decimal places?\nAnswer: 0.000481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2384327?\nAnswer: 11, 216757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57244 = 6*f - 85286. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**3\/5 + 4816*p**2 - 676608*p\/5 + 4644864\/5 = 0.\nAnswer: -6048, 12, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16834 and 48982.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/60)\/(25\/40).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1769.6 from 5384930.\nAnswer: 5383160.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-3))\/(0 - 5\/(-18)) - (10 + -6). Factor 10*o - 7 - 11\/4*o**s - 1\/4*o**3.\nAnswer: -(o - 2)*(o - 1)*(o + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 2*x. Let q be 4\/1 + 4\/(-2). Let i be n(q). Suppose i*d = -4*d + 52. Calculate the remainder when 38 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 531?\nAnswer: 5841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9716 is divided by 1655?\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vic when three letters picked without replacement from {v: 1, i: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (-54 - (-62 + 43))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1198660 and 219000.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509938733.\nAnswer: 3, 67, 149, 50417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1393)\/(-8) + 1 - (-11)\/(-88) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107421248 to the power of 1\/2, to the nearest integer?\nAnswer: 10364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5094*y + 241*y = -96030 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-12)\/9) + 7. Find the second derivative of -3*q + 4*q**3 - m*q**3 + q**5 wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 2, 4, -4402, 0 in descending order.\nAnswer: 5, 4, 2, 0, -5, -4402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3\/9 + 136*m**2\/9 + 1760*m\/9 + 1664\/3 = 0?\nAnswer: -52, -12, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 23*r**2 + 134*r + 2064. Let u be n(-16). What is the highest common divisor of u and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 4:38 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 54*a - 7. Is v(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*((-3179)\/374)\/((-2)\/(-4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*d**3 - 371*d**3 + 884*d**2 + 106 - 106 wrt d?\nAnswer: -2460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*(b*b**22)\/b)*b*b)\/b)\/b**(2\/35))\/((b*b*b*b\/(b**(2\/37)*b))\/(b*b**(-6))) assuming b is positive.\nAnswer: b**(-37559\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**3 - 272*r**2 + 20080*r + 41216 = 0?\nAnswer: -112, -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 60*t**2 - 144*t - 10. Calculate c(4).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2773.999998871 - 2774. What is l rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5577207 and 5?\nAnswer: 27886035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 44.1. Which is the biggest value? (a) 1\/2 (b) t (c) 5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2. Suppose j - 17 = -2*z - 3*z, 3*z = -2*j + 41. Let f(r) = -217 - 8*r + j*r + 217. Give b(f(n)).\nAnswer: -196*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -3*t - 3*l + 55, -4*t + 21 = -3*t + 6*l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 19*h - 25. Suppose 2 = h*y + 4*q - 307, 217 = 2*y - q. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**5\/30 + r**4\/6 - r**3\/3 + r**2\/2 - 3*r. Let x(l) be the first derivative of i(l). Determine n, given that x(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -57, -8, 3 in ascending order.\nAnswer: -57, -8, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 117*x = 460, -1338*v + 1341*v = -2*x - 32 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (364\/312)\/((-14)\/(-3))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 5:23 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (6 + 4 + 3 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -10. Let t = 38874\/7 - 5553. Let n = 5 + -1. Which is the second biggest value? (a) j (b) n (c) t (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0 (b) 7.9 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 1 - 21 = 3*q, 2*q = x + 5*q + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(152)\/(sqrt(288) - sqrt(8)) + sqrt(57)\/(sqrt(147)*-3 - sqrt(3)))**2.\nAnswer: 34*sqrt(19)\/55 + 53891\/12100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/22 and -91\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 23. Let h = 31 + t. Suppose -4*a = 8 - 36. What is the least common multiple of h and a?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -194.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.56759 to 2 dps.\nAnswer: 6.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r - 19 = 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534737?\nAnswer: 7, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 363 and 383748486.\nAnswer: 4221233346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*g + 299 = 0, 5 - 2 = -3*g. Which is bigger: 69 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599380 a multiple of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 211925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 2*x + 1082, -66 = -3*x - 63. Calculate the greatest common divisor of o and 360.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.9, -2\/7, 0.1, -132, 168?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27028610.\nAnswer: 2, 5, 7, 101, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 12, -i + 3307 = 322*s - 319*s. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + k**2 + 0*k**2)*(k**3 - 2*k**3 + 3*k**3) + (k - 3 + 3)*(-32*k**4 + 54*k**4 - 27*k**4).\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21399 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o + 3*o + 3*o + 3*o. Let j(c) = -3*c. Give -18*h(y) + 5*j(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -24*y - 1. Is l(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.092 - -0.008. Which is the nearest to 1? (a) j (b) -2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 602168913639 and -152?\nAnswer: 602168913791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*z + 18 = 5, 5*h - z = 29. Put 1, 4, h in descending order.\nAnswer: h, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13967, -24221, -34473, -44723, -54971, -65217?\n\"Answer: m**2 - 10257*m - 3711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f - 2*f + 2*f - 5*f + 5*f - 4*f + f + f - f + 2*f - 3*f + (-2 - 2 + 5)*(2*f - 5*f + 4*f) - f + 2*f - 3*f)*(-1733 + 277 + 402).\nAnswer: 5270*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 258455112.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, -3, 624, -8\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-6*sqrt(196))\/(sqrt(1008)*2 + sqrt(7)))**2.\nAnswer: 1008\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w = 3*w - 57 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-3\/22)*v)\/(v*v**(-23)))\/(v**(1\/2)\/(v**(-3\/14)\/v)) assuming v is positive.\nAnswer: v**(3565\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1373666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 14*c - 197. Let w(y) = -29*y + 431. Calculate -13*r(s) - 6*w(s).\nAnswer: -8*s - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 2048?\nAnswer: 6144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/6*5\/(260\/(-429)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123 - 120. Solve -u*k = k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 1. Let d(m) = 2*m**3 - 3*m**2 - m - 3. Let n(y) = d(y) - 2*q(y). Let f be (2*1)\/(6\/9). What are the prime factors of n(f)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, -10, 15, 2513, -2, 2 in decreasing order.\nAnswer: 2513, 15, 4, 2, -2, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(((-48)\/(-8)*1)\/(-3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*w - 43*w + 67*w - 336 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -442480.48371392 + -526.71579608. Let s = -443013 - h. Let l = s - -5.8. Round l to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, u: 1, b: 1, s: 1}. What is prob of sequence ebu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1923298, 1923311, 1923332, 1923361, 1923398?\n\"Answer: 4*g**2 + g + 1923293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -2\/15 (c) 4 (d) -1\/1251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40270867.2 - 97633.\nAnswer: -40368500.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/8)\/c)\/(c*c\/(c*c*c*c**(-3))*c)*c*c*c**(8\/7)\/c*c*c*c**5 assuming c is positive.\nAnswer: c**(309\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -17*h**3 - 2*h**2 - 2*h - 1. Let b be p(-1). Suppose -2*x + 1 = 3*d - 142, 2*x - 108 = 4*d. Calculate the highest common divisor of x and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11aa (base 14) to base 9\nAnswer: -4213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-17*1)\/(-1). Let y(d) = -7*d + 1. Let n(z) be the third derivative of -5*z**4\/6 + z**3\/2 - 8*z**2. Determine s*y(l) - 6*n(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqx. What is prob of sequence qx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from kffkkkfkkkkkkffk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5682 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -51. Solve 2*r = 3*h - c, -h - r + 2 = -0*r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 96544784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 12:22 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**4\/51 + 25*r**3\/51 - 12*r**2\/17 + 40*r. Determine g, given that t(g) = 0.\nAnswer: 1\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -7, -2, -19\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 14. Let w = 21.8 - m. Let a = w + 3.1. What is a rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 6*y - 4*a + 152, -2*y = 2*a - 286. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*x - 2, 5*x + 8 = -2*m + 1. Suppose -4*k = -8, m*z = 2*k + 2 + 18. Is 7 a factor of (-1 - (-2 + 0)) + z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41395631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 31*r + 5. Let t(h) = -h**2 + 6*h + 3. Let o be t(5). Is v(o) 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 llyylylyyl. Give prob of picking 1 y and 1 l.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 34 = 4. Let b = 19 - d. Solve b = g - 2*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/2152 and -53\/10.\nAnswer: 10760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.091 + -0.08937. What is p rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/2)\/(3 + (-76)\/24). Let s = c + 51. Let i = s - 28. Solve 0 = 4*w + 4*j - 12, -6*w + i*j = -3*w + 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -953 = -5*g - 983, -2*d - 8 = 3*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + a + 110. Let o be h(0). Suppose -16 = 5*l - 3*l. Let v(c) = -c**3 - 8*c**2 + 10. Let s be v(l). What is the highest common factor of o and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36573 or 4?\nAnswer: -36573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2368*y**2 - 2481*y**2 + 2 + 982*y**2 to the form n*y + b*y**2 + l and give b.\nAnswer: -3867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 709, 1824, 2939, 4054?\nAnswer: 5169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -6*c**3 + 62\/3*c + 38\/3*c**2 - 4\/3*c**5 + 8 - 22\/3*c**4 = 0.\nAnswer: -4, -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/15932 or -2?\nAnswer: 1\/15932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 788.4006 centuries in millennia?\nAnswer: 78.84006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 2\/9, -3\/2, -0.14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010101110100001000010 (base 2) in base 16?\nAnswer: -4ae842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 816.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137.572 + 91.545. Let n = -45.886 + -0.114. Let r = n - l. What is r rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 5.5. Let m = -0.2 - -0.3. Let k = 1.2 + -0.2. Which is the nearest to k? (a) -0.1 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6244993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*k + 21. Suppose 0 = -3*z - 6*d + 3*d + 9, z - 2*d = -k. Which is greater: 3 or z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 3*f + 70. Let s be d(7). Let b be -6*3\/18*3. Sort -1, s, 16, b in descending order.\nAnswer: 16, s, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y - 160 - 3*y - 137 + 319. Give u(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 7 + 5. Suppose z*m = 8 - 35. Is (-98)\/(-4) - m\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/3 - 268*r**2\/3 + 2830*r\/3 - 2400.\nAnswer: -2*(r - 5)**2*(r + 144)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10861 - 10861. Solve l = -229*f + 228*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 8\/(-6)*1*(-7236)\/144.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.352 + -0.148. Which is the closest to 1\/3? (a) -1 (b) 6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6\/4805 - -21628\/9624415. Is b != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u - 4*c = -1595, 0 = 3*u - 5*c + 970. Let h = 377 + u. What is the remainder when h is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 14 = 2*f, 4*y + 2*f = 3*f + 19. Solve y*i + 3*l = -30 + 10, -5*l = 4*i + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -868, -3538, -10786, -24904, -48184?\n\"Answer: -382*g**3 + 3*g**2 - 5*g - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13398*o**4 - 233*o**2 - 33654345*o wrt o?\nAnswer: 160776*o**2 - 466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 230\/11 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/4)*w**(-12)*(w\/(w\/w**(3\/4)))**46 assuming w is positive.\nAnswer: w**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*j = -10, 0 = 2*x + 4*j - j - 23 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - p**2 + p - 3. Let j(f) = 2*f**3 + 4*f**2 - f + 53. What is 3*b(s) + j(s)?\nAnswer: -s**3 + s**2 + 2*s + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/128*12)\/(54\/144*136\/12)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5 + 49*b**4 - 1745*b**3 - 12565*b**2 + 30164*b - 15904 = 0. What is b?\nAnswer: -71, -8, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 12*z**2. Let f = 46 - 46. Suppose f = -3*x + 3*c + 21, -4*c - c = 4*x - 19. Let t(o) = 1 - 5*o - 1 + x*o. Determine j(t(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.6 - -10. Let l = -5 - s. Let x = l - 2.6. Put x, 2\/3, 1 in descending order.\nAnswer: 1, 2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1111 + -16. Suppose -r*i + 1090*i + 240 = 0. What is the remainder when i is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/12729 + -108909\/33944. Find the common denominator of -29\/262 and t.\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4595 and -4697 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 194256370 a multiple of 2365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**5\/60 + 5*c**4\/24 + 8*c**3\/3 + 41*c**2. What is the hundreds digit of s(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*t + 56*t = -13420. What are the prime factors of t?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 47. Let y be (0 - q\/(-6))*(471 + 0). Let l = y - -1328. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Let o = -14 + 7. Let u = 731 - 730.9. Which is the third smallest value? (a) q (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 20*y**2 - 750*y - 347. Let p be m(-39). Factor -2\/3*s**2 + p*s + 0.\nAnswer: -2*s*(s - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 10:19 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-5) + 4\/10. Let y = b - -2. Find m, given that 3*m**3 + m + m**5 - 2*m**2 - 5*m**y + 2*m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 - -1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 294*h - 16348. What is i(-220)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33304\/3 - 11099. Determine z, given that -1\/3*z**2 - k*z + 0 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 99 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 w, and 1 z when three letters picked without replacement from {f: 2, z: 4, v: 2, h: 4, w: 1, q: 7}.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/(-171) - (-236)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139 - 20. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-66) + 9 + 874\/253.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 27, 46, 71, 102?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = k + a - 9, 30 = 5*k + 4*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*p - 682*p = -105*w + 460, -p + 10 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.44292 rounded to one decimal place?\nAnswer: 108.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.36, 0.352, 0.154.\nAnswer: 0.154, 0.352, 0.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30925 is divided by 82?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -587 - -592. Suppose -20 = g*o, -o - 34 = -2*f + 36. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a - 5. Let n(l) = 52*l - 32. Let v = -109 + 141. Give v*p(j) - 5*n(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7614, -15728, -23838, -31944, -40046?\nAnswer: -48144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 302, 602, 1000, 1496, 2090?\nAnswer: 2782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 - -101. Suppose -8 = -13*d + s*d. Solve -5*c - 6 = -d*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0*u + 3*s - 94, 0 = -11*u - 4*s + 199. Solve u = -3*r + h, 12*r + 10 = 8*r - 5*h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)\/(2*sqrt(8)))\/(sqrt(36) - (-2*sqrt(36) + sqrt(36))).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46 + -131?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1580, 1023, 84, -1243, -2964, -5085, -7612, -10551?\nAnswer: -13908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*s**2 + 519*s**2 + 11 + 1.\nAnswer: -6*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-119)\/(-510) + 2\/(-5))\/(10 - (-374)\/(-51)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56283045?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -104\/14497?\nAnswer: -104\/14497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1011963932 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 84*q + 88. Determine r(41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61.702307 + 0.121307. What is y rounded to one decimal place?\nAnswer: -61.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 20*a**2 + 21*a + 4*a**3 + 314 - 2*a**3 - 270. Determine w(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6034*z**3 + 3*z**2 + 92751 wrt z?\nAnswer: 18102*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020\/7 + (-10)\/(-35).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 8*a + 7 - 7.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(182\/4) - (-2)\/13. Let j(t) = t**2 - t + 70. What is the tens digit of j(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 1, 1\/4, 0.08, -1.84, -2\/15, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -364, -769?\nAnswer: -769","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2856 is divided by 64?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 29. Suppose -l - 2*p = -3*p - 3, -l + 12 = -4*p. Suppose 2*z - o*z + 44 = l. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44796 (base 13) to base 8\nAnswer: -362662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2154 - 2153.8. Which is the closest to -1? (a) 5 (b) v (c) 0.053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183125273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4113 is divided by 4103?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6211?\nAnswer: 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlbhhll. Give prob of sequence lh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-25 + 9 + 9 - -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 1, p: 1, f: 2}. What is prob of sequence xp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2. Let h(v) = -7*v**2 + 6*v**2 - 14*v**2. Calculate d(h(u)).\nAnswer: -450*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*x - 25 = 2*x, 2*t - 2*x - 20 = 0. Let a = -18 + t. What is the units digit of (-12)\/(-42) + (-82)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + -19 + (-17 + 7 - 0 - -3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -62934.\nAnswer: -6293.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 5*p**2\/2 + 2*p - 1619. Let t(y) = 5*y**3 + y**2 + y - 1. Let k be t(1). Let x(u) = 10*u + 4. Determine k*x(r) - 11*c(r).\nAnswer: 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*a - 63*a + 1972 = 98*a - 713 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 3*k**2 + 10*k. Let d(c) = 5*c**3 - 14*c**2 - 49*c. Let j(b) = -2*d(b) - 11*t(b). What is the remainder when 25 is divided by j(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/36)\/(((-6)\/(-4))\/(27\/(-18)))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 - 1540887668520?\nAnswer: -1540887668421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 0*c + 5\/2*c**2 - 5\/3*c**3 + 14. Let h(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m - 24 = 0. Let y = 778\/21 - 112\/3. Which is the second smallest value? (a) 1 (b) m (c) 0.1 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111001111 (base 2) in base 7?\nAnswer: -2562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4494.\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + (sqrt(637) - 1*sqrt(637)*6) + -2)*-2*-6)**2.\nAnswer: 16128*sqrt(13) + 1468224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 391306499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2348669 to the power of 1\/2, to the nearest integer?\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 - 79 = 16*z - 127 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -9. Let u(p) = -p**2 - 3*p + 7. Let g be u(-3). Suppose 0 = g*z + 14 - 56. What is the remainder when b is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*g + 28*g - 94*h + 209 = -84*g, -3*h + 13 = -g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3048.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*j = 60, -5*j = -14*h + 19*h - 65. Let l(u) = -2 + u**2 + 5*u - 8*u + h*u + u. Give l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-8)*(-4932)\/(-71925).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 5e854?\nAnswer: -5e859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.025 + 4.975. What is the closest to 0.1 in i, 3.9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**6\/180 - 2*y**5\/45 + y**4\/9 + y**2 - 2. Let c(q) be the second derivative of m(q). Determine f, given that c(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:24 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -810690125*o**3 - 19*o - 3178870 wrt o?\nAnswer: -4864140750*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = -2*t + 5, 68*t = 66*t - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**7\/2520 - w**6\/360 - w**5\/5 + 2*w**2. Let q(z) be the third derivative of a(z). Determine q(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 - 832314*z\/5 + 5826296\/5.\nAnswer: -2*(z - 7)*(z + 416164)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 446819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 32 = 2*i, 10 = 5*i - 5*q - 40. What is the third derivative of 12*y**3 - i*y**3 + y**6 + 0*y**6 + y**2 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 3*r. Let w be x(3). Let p = -21 - w. Let g be ((-308)\/(-42))\/(2\/p). Is -13 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -699*o**2 + 12*o - 11. Let t(y) = 699*y**2 - 15*y + 14. Determine -4*b(g) - 3*t(g).\nAnswer: 699*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -196\/5 - 4\/5*d**2 - 56\/5*d = 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -638 by -14508.\nAnswer: 319\/7254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5 = -v, 4*b - 6*b - 25 = -5*v. Sort b, 189, -2 in increasing order.\nAnswer: -2, b, 189","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 337 (base 12) to base 3\nAnswer: 122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-6))\/(1\/(-3)). Let j be m - -74*3\/54. What is the third smallest value in 0, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2513?\nAnswer: 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 3*z - 6. Let d be w(-5). Let s = 0 + d. Suppose -r = -3*b + 9100015, -s*b + 15 = -b. What is r rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2477 + 3072. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/924)\/((-6)\/(-27)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3.077392km?\nAnswer: 3077392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 1791000 = -11*t. What is t rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 159792*c**3 - 1354862 wrt c?\nAnswer: 479376*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19530649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aym. What is prob of picking 1 m and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3468048140914.3 + 0\nAnswer: -3468048140914.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6 = 20. Suppose -o*n = 2*n + 288. Let v = n - -42. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202020311323 - 1?\nAnswer: -202020311330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/13, -3\/4, 4?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009594197 to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*p**2 - 13*p**2 + 28*p**2)*(42*p**2 + 2*p**3 - 42*p**2) - 3*p**5 - 5*p**5 + 0*p**5.\nAnswer: -10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-9))\/(-1 - (-25)\/15). What is the third smallest value in 0.4, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 15*p**2 + 26*p**2 + 22*p**2 + 8*p**2. Let s(w) = -6*w**2. What is s(d(o))?\nAnswer: -30246*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211201 + 1100?\nAnswer: 1220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 6 + 9 + 13763*u - 13917*u.\nAnswer: -154*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 6*p - 3*p)*(-16*p**4 + 39*p**2 - 39*p**2).\nAnswer: 128*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.92011465 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juw. Give prob of sequence ujj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 731.9006 micrometers in centimeters?\nAnswer: 0.07319006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from jpppypy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*d - 12. Let n(f) = -3*f + 26. Let y be n(d). Let o(q) = q + 12. Calculate o(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 less than 0.2342408748?\nAnswer: -1.9657591252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3075 - -3177) + (-1 - (9 - (1 - 4))).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 342*y**2 - 37*y - 9. Let r(d) = -85*d**2 + 9*d + 2. Give 2*i(s) + 9*r(s).\nAnswer: -81*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k - k**2 - 16 + k + 14. Let i be s(-6). Suppose 5*g = -i*p - 1940, -5*g - 186 = -4*p - 2166. What is p rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*n - 72*n - 72*n - 79*n - 69*n + 391*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -2*z**2 - 1\/70*z**7 + 0*z**6 + 0*z + 0*z**4 + 0*z**3 - 1\/336*z**8 + 0 + 1\/15*z**5. Let q(w) = 0. Calculate w.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2498114964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*f - 8459976*c + 1912449*f wrt f.\nAnswer: c + 1912449","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7032 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/41 (b) 0.1 (c) -0.2 (d) 1\/6 (e) 16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-11 - -6) - (1 - -1) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 134?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.69 and -1534?\nAnswer: 1538.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 6*s = -7*s - 6, -4*s = 2*l - 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41069359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 129822\/13 or 9985?\nAnswer: 129822\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 + y - 1. Suppose -13 = 6*b - 1. What is i(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v - 8 = 0. Let p(o) = o + 2. Let z be p(v). Suppose z = r - 0 - 2. Calculate the greatest common factor of 3 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3\/2, -10\/9 in descending order.\nAnswer: 8, 3\/2, -10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + x**2 + 1)*(4 + 2*x**2 - 4) + 5*x**4 - 16*x**4 + 3*x**4.\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r*r\/r**(2\/9)))**(-39)\/(r**(-2\/15))**41)**(-1\/3) assuming r is positive.\nAnswer: r**(211\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**5\/5 - 43*p**4\/6 - p**3 + 29*p**2 + 950*p. What is the second derivative of m(f) wrt f?\nAnswer: -24*f - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a second in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*r**3*t + 7*c*r**2*t - c*r*t - 4*r**2*t + 4*r - t wrt r?\nAnswer: 12*c*r*t + 14*c*t - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*2\/(-20) + 63388\/230. Calculate the greatest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 18522?\nAnswer: 18517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 23. Let o = b - 11. Let a be (o + -11)\/((-6)\/4). Solve 0 = -5*d - 11 - a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244254183?\nAnswer: 3, 6607, 12323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q + 4. Let f be x(6). Suppose 2*m = -f - 130. Let s = m + 137. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**(2\/21) assuming a is positive.\nAnswer: a**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -18 + 10 + 13?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((u**9\/u)\/u)*u))\/(u\/u**(6\/13)))**(2\/41) assuming u is positive.\nAnswer: u**(142\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*q**4 + 2*q**2 + 5*q**4 + 2 + 5*q**4 in the form m*q**4 + l + t*q**2 + u*q**3 + w*q and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-37))**(-3\/20) assuming t is positive.\nAnswer: t**(-57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/4214 and 53\/216.\nAnswer: 455112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71055113*s**3 + 198*s**2 - 221374*s wrt s.\nAnswer: -426330678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9030?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -9*u**2\/2 + 321*u - 2. Let v(l) be the third derivative of l**4\/24 - 5*l**3\/3 + l**2. Give -3*o(c) + 2*v(c).\nAnswer: 2*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-5 + 0))\/1. Suppose -a*g + y = -28 + 6, g = 5*y + 14. Let i(b) = 2*b + 2. Give i(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - y - 8 = 0, -10*i + 13*i + 4*y + 14 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49.7493 or -185\/2?\nAnswer: -185\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 687061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 19*o**2 + 2*o - 6. Let h(m) = -206*m**2 - 39*m + 35. Let k(g) = -42*g**2 - 8*g + 7. Let f(b) = 6*h(b) - 29*k(b). Give -6*d(t) - 5*f(t).\nAnswer: -24*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 2:12 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2599 is divided by 264?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/25 in -4, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 2:57 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 8*m + 9. Let p be u(-6). Let t = 51\/11 - 49\/11. Which is the closest to 1? (a) t (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5804*a + 7632*a - 2008*a to the form j*a + u and give j.\nAnswer: 11428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/9)\/((-45)\/((-35235)\/(-406)))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 + y**2 + y - 1. Let o(a) = 11*a**3 + 24*a**2 + 22*a - 23. Let l(p) = 5*h(p) + o(p). Let v be l(-28). Which is bigger: v or 6\/115?\nAnswer: 6\/115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1887 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -27, -35, -47?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*l + 2 + (0 + 0 + 2*l)*(169 + 122 - 15) to the form k + u*l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p*p**(-1\/46)*p*p)*p*p)\/(p**17*p) assuming p is positive.\nAnswer: p**(-735\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -143, -161, -179, -197?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -179, -14, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.6 or 0.104515?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) + 120\/(-21). Let s(u) = -u**2 - 7*u - 5. Let y be s(i). Solve 0 = 2*w - 7 - y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = 3*z, t - 2*t + 1 = -4*z. Let j be (t*2)\/(-1 + -1). Let v be (-6)\/(j + 3\/12). Solve 0 = -r - r + v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htn. Give prob of sequence hn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5810404584 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 4*z - 2*z)*(-1 + 0 + 3) - z - 7*z + 2*z + (5*z + 0*z - 3*z)*(-3 - 1 + 6) + z + z + 0*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 + -80. Let n = -173 - -170. Which is the closest to t? (a) n (b) -0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -813, -3325, -7511, -13371, -20905?\nAnswer: -30113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 45097.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-1)\/(-2) + 1. Let g = 46 + -23. Suppose t = 2*v - 3*v + 3*w + g, 4*w = 4. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1228 + -702. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = f - 286, -4*f + 2*h = h - 1059. Suppose -9*t = -319 - f. Calculate the remainder when t is divided by -2 - 2*38\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.42 times 1.4?\nAnswer: 1.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -917 - -1?\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 4:10 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - h + 2. Let m(b) = -b**3 - b**2. Give j(c) - 3*m(c).\nAnswer: 3*c**3 + 2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82455 and 5258?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20556*o**2 + 10278*o**2 + 10304*o**2.\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-20))\/((-2)\/(88\/22))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -89 and -233538.\nAnswer: -233627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -23190 = -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24 - 174848260463.\nAnswer: -174848260463.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/379 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 6*q**2\/5.\nAnswer: 3*q**2*(5*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(10)*6)\/((sqrt(605)\/(-1*sqrt(11)))\/sqrt(11))*-4*-1.\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*n + 8, -6*s + 3*s = 4*n - 19. Suppose 5*l - 55 - s = 0. Solve -3*b - 2*b - m - 3 = 0, 4*m + l = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 37*x + 2560. Calculate j(1).\nAnswer: 2597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 420 - 418. What is the nearest to -1\/2 in -5, j, 16, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/2)*s**(2\/15)\/s*s)\/(s**(3\/2)\/s**0)*s**2*(s**(1\/5)\/s*s)\/s*s*s*s*s\/(s*s*s**(-5))*s**(-5) assuming s is positive.\nAnswer: s**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107789104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*0.033823.\nAnswer: 0.0473522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2015, 4049, 6093, 8153, 10235?\n\"Answer: b**3 - b**2 + 2030*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 236, -0.4, 1\/11, 2\/11?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04186116 and -4?\nAnswer: -0.16744464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)\/(q**(-2)\/q))**(-47) assuming q is positive.\nAnswer: q**(-235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198246 is divided by 1695.\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 1. Let x(v) = -v**2 - 5*v + 1. Let g(k) = 3*m(k) - x(k). Let l = -14 + 12. Let i be g(l). Solve a = i - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2960*l - 14764. What is the remainder when 139 + (-2)\/(0 - 2) is divided by h(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 42911 + 264309 = 0. Let q = 3977 + -16199. Let w = x - q. Round w to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*v + v. Suppose -2*l - 3*l = -4*t - 26, l - t = v. Let f(z) = l*z**3 - 4*z**3 + 6*z**3. Let s(n) = -n**3. Give -f(k) - 3*s(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -83. Let c be (-659)\/(-9) + t\/108. Suppose -c = -x + 5*o, -5*o - 445 = -4*x - x. Calculate the greatest common factor of x and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 greater than or equal to -803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-60)\/18)\/(1\/(-9)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29253653?\nAnswer: 11, 13, 157, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + f + 10, 0*l = -4*l - 2*f - 50. Let d(b) = -b**2 - 16*b - 19. Let v be d(l). Let i(h) = -h**2 - 4*h - 5. Calculate i(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2925\/(-120))\/15*8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*k**2 + 9*k**2 - 36*k**2 - 2*k**2)*(7 - 7 - 2*k**3).\nAnswer: 206*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 10. Let y be q(-7). Is 49 + (y - 0) - 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 f, and 1 l when three letters picked without replacement from lkdimiflillf?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(1\/2*-3). Let y(i) = -i**3 + 32*i**2 - 31*i - 3. Let g be y(31). Put u, 0, g in ascending order.\nAnswer: g, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 3, c: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 342772, 342534, 342296, 342058, 341820, 341582?\n\"Answer: -238*u + 343010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*z**2 - 112*z**2 - 144*z**4)*(0 - 1 + 7).\nAnswer: -864*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -1b70?\nAnswer: -1b70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 q when four letters picked without replacement from {r: 8, e: 5, h: 1, q: 4}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 9*x - 3. Let z(t) = t**2 - 12*t - 4. Let c(f) = -4*q(f) + 3*z(f). Let h(o) = 7*o - 3*o - 2*o - 27 - 2. What is c(h(a))?\nAnswer: -4*a**2 + 116*a - 841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (36\/(-10) - (14 + 680\/(-50))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127 + 170. Is q a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 32, 80, 150, 242, 356?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 16 = 2*s, 0 = -5*i + 3*s - 688 + 704 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868424500?\nAnswer: 2, 5, 1736849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71404349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 21 - -3) + (-13 - -16).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 10:41 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1751*n**3 + 1633*n**3 + n**2 - 8211*n**3 + (-3*n + 3*n - 2*n)*(0*n**2 - 2*n**2 + 0*n**2) - 5*n**3 + n**3 + 2*n**3.\nAnswer: -4825*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - m + 10 = 0, -4*g = -0*g - 3*m + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -20. Suppose -c*n - 2*w + 30 = n, -2*w - 42 = -4*n. Solve 1 + n = -2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026898 plus 662605?\nAnswer: 662604.9973102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5058721835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77 by 2.\nAnswer: 77\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13202 (base 4) to base 5\nAnswer: 3412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 380919 + 25212 = -21*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1263 is divided by 1083.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86092, -0.3, -10, -2\/19 in increasing order.\nAnswer: -86092, -10, -0.3, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40.179 and 3.01901193?\nAnswer: 43.19801193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7 = -23. What is the common denominator of (25\/k)\/((-2)\/34) and 1219\/46 - 5*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v*z**4 - 1356*v - 2326*z**4 wrt z.\nAnswer: 4*v*z**3 - 9304*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*((5 + 0 + sqrt(2448) + sqrt(2448) + sqrt(2448))*4 - 3*(sqrt(2448) + -1 + sqrt(2448) + sqrt(2448) + 2)))**2*-1.\nAnswer: 183600*sqrt(17) + 3348150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + -40. Let t = -0.3 - -0.4. Which is the smallest value? (a) -5 (b) t (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1768, 1130, 66, -1430, -3364?\nAnswer: -5742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*c - 10. Suppose 14*d**2 - 7*d**5 + 3 - c - 6*d + 9*d - 12*d**4 + 4*d**3 = 0. Calculate d.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231419292 a multiple of 1688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 880\/(-2982) - (-7)\/(-98)*-4. Is 1 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) 2\/5 (c) -2\/3 (d) -6 (e) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**6\/40 - x**5\/15 - 2*x**3\/3 - x**2. Calculate the remainder when m(3) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3983 + -4111.12. Let w = n + 127.5667. Let j = w - -0.55. Round j to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 148.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -16*f**2 - 16 + 5 - 1 - 16*f + f**3. Let z be x(17). Find the third derivative of 196*c**2 - 193*c**2 + z*c**6 + c**6 wrt c.\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/9))**(20\/7)*(u**2)**(2\/79))**(-27) assuming u is positive.\nAnswer: u**(-5496\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -243078 or -5104646\/21?\nAnswer: -5104646\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-5))\/(((-6)\/(-20))\/1))\/((-2912)\/(-104)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13269910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*b - 32065 = -159265, 5*h - 3*b - 212008 = 0. List the prime factors of h.\nAnswer: 2, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993166886.\nAnswer: 2, 29, 71, 241177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) 135 (c) 4.95 (d) -15\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(65) - (sqrt(65)*1 - sqrt(65))*1)\/((sqrt(20) - sqrt(80)\/sqrt(4)*4)\/(sqrt(16)\/(sqrt(12)\/sqrt(3)) + sqrt(4))).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**3 - 4*o**2 - 9*o - 10. Let a be z(-3). Suppose 0*d = 2*d - a. Calculate the greatest common divisor of d and 348.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f, -3*v + 3 = -2*v + f. Suppose b = -5*q + 7, -2*q - v*b = -0*q + 5. Let s = 36 + -35. Is q smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - 59. Suppose 5 = y + 2*b, 4*b + 13 = y - l. Which is greater: y or 8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -346924 by 173462.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + 0.2. Let r = -3.263 - -2.763. What is the smallest value in 1\/4, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, -7, 1, 9, 17, 25?\n\"Answer: 8*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/233540367 and 62\/3879.\nAnswer: 700621101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109552?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/2164239 and 31\/9.\nAnswer: 2164239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2802*c**2 - 45*c - 7*c - 3494*c**2 + 52*c in the form x + y*c + p*c**2 and give p.\nAnswer: -6296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 15. Let o = 29 - s. What is the remainder when 16 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 1\/10*w**5 + 0*w**2 - 1\/6*w**3 + 0*w**4 - 4*w + 0. Find the second derivative of x(b) wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 3*u**2 - 2*u - 1. Let b be q(-3). Let x(k) = 4*k - 2*k - 3*k + 4. Let l be x(b). Sort -5, 3, l in ascending order.\nAnswer: -5, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 6*d + 6. Let x be l(6). Suppose 22 = 3*h + 2*f, h = -0*f + 2*f - x. Solve 27 = -q + 6*v - v, 0 = -3*q - 2*v + h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5401.24 or 2?\nAnswer: 5401.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 6. Suppose 2*r = y + 18, -52 = 3*y - r - 13. Let j be ((-18)\/4)\/((-27)\/y - 3). What is x(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3551 - 3551.8818. Let p = b - -0.855. What is p rounded to three dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210) + 1*sqrt(210))\/sqrt(6) + sqrt(35))\/sqrt(5).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p - 18 = -73*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150362 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x + 5*v = 1751, 0 = -4*v - 20. Suppose -x - 337 = -7*s. Does 35 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -13. Let k = 6.9999982 - r. What is k rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20817*o - 368 - 362 - 18614*o + 5 - 45 wrt o.\nAnswer: 2203","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4366 - -12347. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580306?\nAnswer: 2, 257, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 9:21 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11*u + 559. Let j be r(-51). Put -5, j, 1, 4 in descending order.\nAnswer: 4, 1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31345058 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 14 = 7. Suppose -4*u - 5*c + 107 = 0, -3*u + 30 = -3*c - 30. Let k = u + b. Solve k*m - m = 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n + 2752. Let m(s) = -3*s. Calculate u(m(p)).\nAnswer: 24*p + 2752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 22217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -10496 + 10546 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w - 31. Let p be c(14). What is the greatest common factor of p and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -15 (b) 2\/15 (c) -2\/5 (d) 1\/4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -215, -431, -641, -845?\n\"Answer: 3*r**2 - 225*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171\/(-10) - ((-66 - 14) + 42 - -19)?\nAnswer: 19\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167178 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -287 - 3*k**4 + 99*k**3 - 28 + 11658*k**2 - 11656*k**2 + 5*k**4 - k wrt k.\nAnswer: 48*k + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55960400 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 36, 37, 16, -33, -116, -239, -408?\n\"Answer: -t**3 - 2*t**2 + 30*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 9*q**2 + q + 12. Calculate d(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 6*q - 8. Let v = 17 - q. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x. Let j(t) = -t - 3. Let f be j(-6). Let u(a) = 7*a - 2*a**2 - f*a - 4*a. What is u(s(r))?\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07809323404 rounded to 4 decimal places?\nAnswer: -0.0781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 642.658 millilitres in litres?\nAnswer: 0.642658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from {k: 1, d: 3, b: 4, o: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1) - (-4 + 3). Let k(m) = -m**g - 8*m - 1 + 3*m - 3. Give k(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.576, 1.09, 7, 4?\nAnswer: 1.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11653968 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Let p = -10 - -11. Suppose -3*j + 13 = p. Solve c*v - 4*v = -j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 157 in -4\/89, -0.4, -1\/3?\nAnswer: -4\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145 - 94. Let m = r + -50.99999938. What is m rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/38731 > 135\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -511, -770, -1049, -1354?\nAnswer: -1691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 302, 610, 928, 1256?\n\"Answer: 5*t**2 + 293*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 327*b**2 + 428*b wrt b.\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 47719.9 to the nearest 1000.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 232*s + 4278.\nAnswer: 2*(s - 93)*(s - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.85 and -4.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7693*f. Let i(x) = -135*x. Calculate -343*i(l) + 6*k(l).\nAnswer: 147*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3067 and -1823.\nAnswer: -1822.6933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/(sqrt(4)*-1))\/(1*sqrt(490)))**2.\nAnswer: 5\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8047 and 15475.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 286 and 284 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = j. Let x = j - 0. Let c(t) = t**3 + 7*t**2 + 7*t + 4. Let h be c(-6). Is h at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 - 26 = -c. Let k = c - -83. Suppose -k = 2*b - 3*b. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6352?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 162469.1 millilitres?\nAnswer: 162.4691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198014 is divided by 103.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/8 + (-490)\/(-24) + 37\/(-222). Solve 0 = h*f - 28 + 133 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(190)*1)\/(6*sqrt(90)).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from moam. What is prob of sequence ooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*a - 0*a + 21, -u - 2*a + 8 = 0. Suppose u = 2*s - 0*s. Suppose 33 + 44 = 4*g - v, -v - 57 = -s*g. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16508 - 16507. Let t(j) = -j. Let i(r) = -8*r + 8. Calculate w*i(m) - 5*t(m).\nAnswer: -3*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2318087 and 33041.\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 2 + 2*n**2 + 3*n**2)*(-43*n**2 - 57*n**2 + 0*n**2 + (-3 + 3 - n)*(-4*n + 2*n + 3*n)).\nAnswer: -202*n**4 - 202*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 7*l - 5. Let t be 1626\/l - (7 + (-25)\/5). Suppose -7*j = -154 - t. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgiyiqiiyyiyyqgaa. What is prob of picking 1 g and 1 q?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 25648404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(1\/20)*l**(-4) assuming l is positive.\nAnswer: l**(-59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -7790 to the nearest 100.\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by (-2)\/(2 - 80\/35) + 25\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/7 (b) -3 (c) -2779 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m**2 + 8*m + 34. Let s(c) = 7*c**2 - 7*c - 31. Calculate -5*o(i) - 6*s(i).\nAnswer: 3*i**2 + 2*i + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 337 = -f, -2*f - 2*l = -f - 329. Let h = -320 + f. Are h and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 3*v + 3*z + 30, 0 = -v - 4*z - 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*a**3 + 74889*a**2 + 119793*a + 44919.\nAnswer: 3*(a + 1)*(a + 4991)*(5*a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)\/g**4)\/(g\/(g**(2\/3)*g)*g**(-4))*(g**(3\/7)*(g\/(g**(-6)\/g))\/g)**(-1\/5) assuming g is positive.\nAnswer: g**(-277\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(875)*-3)\/(sqrt(448)*2 + sqrt(448) + sqrt(448)))**2*2.\nAnswer: 245\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - d = 59 + 64, -2*t = -5*d - 63. Suppose k + t = 5*k. Suppose 2*l = 5*l - k. What is the greatest common divisor of 4 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 11:34 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600 a factor of 257931679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + 12375*p\/2 - 1539518.\nAnswer: (p - 244)*(p + 12619)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 22*n**2 + 36*n + 72. Suppose 4*r + 2*s = 86, 4*r + 3*s - 74 = 5*s. Let h be y(r). Which is greater: -17 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhmhmtdd. Give prob of sequence hdt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 + -10)*(1 - 10\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 1. Let a(z) = -3*z + 6. Let d(u) = a(u) - 6*n(u). Let p(s) = -2*s. Determine p(d(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 55*s - 170. Let q(v) = -4*v**2 + 221*v - 690. Let j(u) = -18*a(u) + 4*q(u). Let j(b) = 0. Calculate b.\nAnswer: 3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 8*x**2 - 5*x + 6. Let c be w(-7). Let t be (6\/8)\/((-2)\/c) + -5. Put 1, -12, t, 3 in decreasing order.\nAnswer: 3, 1, t, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4594265 divided by -918853?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3952 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2231 by -23.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*(-352)\/396\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -201.754 - -202. Let v = 0.054 + l. Put -0.4, -5, v in descending order.\nAnswer: v, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 8*k**2 - 33 + 3*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1292*f*r - 861449*f + 100*r wrt r?\nAnswer: 1292*f + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:52 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -37. Sort -0.9, 0.03, h, -5 in ascending order.\nAnswer: -5, -0.9, 0.03, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1307*z**2 + 667*z**2 + 651*z**2.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 6*j**2 + 2*j - 12. Let k be d(5). Let t = k - 201. What is the remainder when 431 is divided by t?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -14. Suppose 5*m = 7*r - 2*r + 10, -3*r = -3. Put m, 0, y in descending order.\nAnswer: y, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9}. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112523*l**3 + l**2 - 1693*l + 2 wrt l?\nAnswer: -675138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:20 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3\/x**(-1))\/(x*x**4\/x*x**(-2)) assuming x is positive.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145 + -140. Suppose 5 = y*w, 70381 = -4*q + 2*w - 2185621. What is q rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (15 - 7) + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**7\/630 + b**6\/240 + b**5\/15 - 13*b**4\/24 + 21*b**2. Let u(h) be the second derivative of d(h). Does 20 divide u(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-7) + 3 + 1105\/(-315). Suppose 3*d - d = -62. Let f = d + 219\/7. Which is the third smallest value? (a) q (b) 2\/17 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-584)\/288 + -4. Let x(l) be the second derivative of d*l**4 - 2\/9*l**3 + 0 + 0*l**2 - 6*l. Let x(b) = 0. What is b?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -i - 15. Suppose i*y - 8 = y. Suppose -2*o = 4*n - 32, 0 = -7*n + 5*n + 8. Solve -2*l = y*b - 0*b + o, -l - 7 = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220640 a multiple of 788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28519753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01114943553 to 5 decimal places.\nAnswer: 0.01115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 0*u - 2*u - u + u - u + (-4*u + 2*u + 4*u)*(0 + 0 - 2) - 3 + u + 3 + (-2*u + 2*u + 2*u)*(-5 + 1 - 1) in the form j*u + y and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201766*d**4 - 3*d**3 - 91*d + 13 wrt d.\nAnswer: 2421192*d**2 - 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4636 = 23*i. Calculate the greatest common factor of i and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35872 (base 9) in base 14?\nAnswer: 8a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - -48) + -188 + 186 + (-21 - 0).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -5 (c) -4 (d) -41 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 2, 6, 8, 8, 6, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8 and (147\/(-140))\/(4\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45.8 - -37. Let x = -1.2 + 1.2. Let j = m - x. What is j rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 = 21. Solve -s = -3*c - 2*s - x, -5*c = -2*s + 21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-2)\/8*(-322)\/1449.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60719\/10 + -6067. Calculate the common denominator of 8\/20 + (-1)\/(-80)*938 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - g**2 - g - 36. Let a be z(0). Let p = a - -53. What is the smallest common multiple of 4 and p?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 0.29 (c) 4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + a + 6. Let i be l(-5). Suppose 0 = -5*x + 431 + 909. Let k be (-85)\/(-51) - x\/(-3). What is the greatest common factor of k and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -2. Let g be q - -7 - (0 - 2). Let i be 886\/18 + 4\/(-18). Calculate the highest common factor of g and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 110 = -2*n, -2*i + n + 13 = -22. Calculate the remainder when 39 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (245 + 1)\/(2\/(-15)). Let t = a - -2760. What are the prime factors of t?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t - 285965 = -1696728. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*y**2 + 13 + 17 - 45 + 15.\nAnswer: -172*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pslgz. Give prob of picking 1 p, 1 s, and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*u**3 + 108*u - 172*u**5 - 1215*u + 147*u**5 - 36*u**5 wrt u.\nAnswer: -1220*u**3 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 425883 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 66647 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/24552 and -101\/1404612?\nAnswer: 87085944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1425*w**5 + 288*w**4 + 6*w**3 - 5*w**2 + 1050*w + 48.\nAnswer: 85500*w**2 + 6912*w + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*d - 16*d + 200 = -98*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 225734 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10052*31.888\nAnswer: -320538.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-3)*(6 - 3). Suppose 4*f = -5*a + 60 + 84, -o*a = -20. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45889 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*d**2 + 0*d**3 - 115*d**2 - 6*d**3 + 53*d**2 - 7*d + 74*d.\nAnswer: -6*d**3 + 67*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*p + 39115 = 0, 0 = -5*k - 32*p + 29*p + 39111. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85 and 34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4859277?\nAnswer: 3, 1619759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j - 117 - j**2 + 91 - 22*j. Let b be q(-15). Let v = -11 + 21. Solve -g = b*g - v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(39)\/sqrt(3))**2 + (sqrt(117) + 1 + sqrt(117))**2 - (5*(sqrt(13) - sqrt(39)\/sqrt(3)) - (sqrt(13)*1 + 0)**2).\nAnswer: 12*sqrt(13) + 950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 + -253\/5. What is the third smallest value in t, -2, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*b**2 + 4 + 22\/9*b = 0 for b.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5. Suppose -4*j + p + 194 = d, p - 98 = -3*j + 51. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5 = 0, -27271 - 3471 = -5*m + 3*j. List the prime factors of m.\nAnswer: 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 6\/19, -2\/3, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2 + 9324*l + 912855 = 0. What is l?\nAnswer: -95, 3203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 0*u**6 + 0 + 0*u**2 + 0*u**3 + 15*u + 4\/3*u**4 + 0*u**5 - 1\/14*u**7. What is the third derivative of k(a) wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 + 73. Suppose -2*o + 10 = -f. Let i(m) = m**3 - 6*m**2 + 2*m - 7. Calculate i(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, -1, -20, -15, -4 in increasing order.\nAnswer: -20, -15, -11, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, 0, 2, 0.09, 0.3, -3, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 59912, 60105, 60634, 61667, 63372, 65917, 69470?\n\"Answer: 28*a**3 - 3*a + 59887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/390 - f**3\/39 + 4*f**2. Find k such that m(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 625069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1725.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -4*p - p. Suppose 2*x = -4*j + 44, 0 = -p*x - 2*x - 3*j + 39. Suppose 2*u + 7450 = x*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k - 4 = 0. Let n be ((-1)\/3)\/(2\/k). Let v be 30\/(-3) + (-40)\/(-8). What is the third smallest value in v, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74644 is divided by 41?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 310, 356, 420?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1890 - 1887. What is the fourth biggest value in 4\/7, -1\/3, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shzqssqmsqwqmmw. What is prob of picking 1 w, 1 q, and 1 z?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*r**6 + 16*r**3 - 801*r**2.\nAnswer: -3240*r**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 3:44 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*sqrt(3024) + sqrt(3024))\/(4*(sqrt(3) - -2*sqrt(3))) - (sqrt(63)\/(1*sqrt(9)) - (sqrt(847)*3 + sqrt(7)))).\nAnswer: -96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21050 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 55*m**4\/12 - 77*m**2. Let o(u) = -130*u + 382*u - 122*u - 128*u. What is r(o(s))?\nAnswer: 220*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44237850 to the power of 1\/2, to the nearest integer?\nAnswer: 6651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*w - 76 = -108*w. Solve 3*a - 2*a + 10 = w*i, -a = 2*i - 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q + 3, -3*q + 7 = 4*u - 22. Solve -45*j**2 + 81\/2*j + 23*j**3 - 27\/2 + 1\/2*j**u - 11\/2*j**4 = 0 for j.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4980.\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -343, -518, -691, -862, -1031?\nAnswer: -1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164 (base 11) to base 5.\nAnswer: -1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 53?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 45*s. Let d(y) be the third derivative of -y**5\/60 - y**2 + 20*y. Give u(d(q)).\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -550.787 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 76669 = -5*q, 5*u = 4*q - 4866 - 56446. List the prime factors of q.\nAnswer: 3, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4752 divided by -528.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-6) - 2)*2. Suppose -3*d = o + 2. Let h = 211\/3 - 71. What is the closest to -1 in h, d, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:58 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 24. Suppose -2*u = -15 + j. Suppose -4 = -u*w, 4*w - 2*w + 4 = 2*f. Solve 5 = -3*n - q, -5*q - 1 = f*n - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.03 + 22.13. Let k = n + -20. Let h = -0.9 - -0.4. What is the closest to k in 4, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -14.065 (b) -3\/2 (c) -37 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155623143?\nAnswer: 3, 13, 306949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17393717699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -15a8b?\nAnswer: 15a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37 take away -22789171429?\nAnswer: 22789171428.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1550, -3951, -7954, -13559?\n\"Answer: -801*h**2 + 2*h - 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 4:05 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21 + (-2662)\/(-132))\/((-10)\/18). Which is the closest to -2\/3? (a) 0.2 (b) -2\/3 (c) 4\/7 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1968 and 123?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -66107 less than or equal to -66353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -374\/3 - -124. Which is the nearest to 1? (a) d (b) 0.006 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a decade in months?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 + i - i + (-10857669*i**4 + 10857669*i**4 + 2393*i**5)*(2 - 5 + 4) + (i**2 + 3*i**2 - 6*i**2)*(0*i**3 - i**3 + 3*i**3).\nAnswer: 2390*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64220 is divided by 12831?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2335 = -890*h - 61965 for h.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 5*a**2 - 5*a. Let b be w(-6). Let v = 8 + b. What is k in -1\/2*k + 0 - 5\/4*k**v = 0?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 23. Let c be 2\/2 + (-4 - -3). Let d = x - c. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m + 10. Let w(a) = -3 + 14*a - 20*a + 9*a. Let r(v) = 4*h(v) + 11*w(v). Determine r(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -40*j - 50. Let q(c) = -c - 27. Give 2*q(m) - r(m).\nAnswer: 38*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -1649*w**5\/10 - 2*w**4\/3 + 5*w**3\/6 + 18*w**2 - 6*w. Let h be m(12). What is h rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + o + 5. Let y(l) = -5*l**3 + 585*l**2 + 3*l + 17. Calculate -3*b(k) + y(k).\nAnswer: -2*k**3 + 585*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29, 166, 533, 1244, 2413, 4154?\n\"Answer: 19*w**3 + w**2 + w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 34, 1, -0.1, -0.4, -13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -1) + 10 + (-8 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12359494 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5)\/j)\/j**(-1\/3))\/((j*j\/(j**(1\/2)\/j)*j)\/(j**(-2\/7)*j)) assuming j is positive.\nAnswer: j**(-641\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52.5 + -27.4. Let c = 24 - m. Is -0.1 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112084.95 rounded to the nearest one hundred?\nAnswer: -1112100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.315 + 4.87. Let p = 1.045 + z. Put -1\/3, p, -5\/4 in ascending order.\nAnswer: -5\/4, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -1639 + 623. Let c = z - 119. Let q be (c\/10)\/((-3)\/45). Is q bigger than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + 1*sqrt(2) + sqrt(2)).\nAnswer: -12*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800) + (sqrt(800) - (2 + sqrt(800))))**2 + sqrt(800))*-2.\nAnswer: -1608 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 70*d**3\/3 - 3*d**2\/2 - d - 7. Let q be u(3). Round q to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -290\/3 + 102. Let b = o - 77\/15. Solve b*g**5 + 2\/5*g**4 - 4\/5*g**2 + 2\/5 - 2\/5*g**3 + 1\/5*g = 0 for g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q - 29. Let h(i) be the second derivative of 1\/6*i**3 + 0*i**2 - 31*i + 1. Calculate p(h(y)).\nAnswer: -2*y - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65493674*w + 75247295 wrt w.\nAnswer: -65493674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f. Let k be (-7)\/(196\/104)*56\/(-16). Let d(j) = 25*j**2 - 7*j**2 + k*j**2 + j**2. Calculate m(d(q)).\nAnswer: -64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1512\/54 - -49)*(-6)\/14\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -827?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3829 - -7380. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8*r**3 - 6*r - 5. Let n(u) = 16*u**3 - 17*u - 823 + 7*u**3 + 809. Determine -17*h(d) + 6*n(d).\nAnswer: 2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 44697 * 0.4\nAnswer: 17878.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/1198 (b) -0.2 (c) 2\/17 (d) 1\/551\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 73\/(-5) - (-6)\/(-15). Let p be (-6)\/21 + k\/21. Is ((-2)\/6)\/(p\/9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -13*n**4\/4 - 21*n**2 + 69*n. What is the derivative of q(l) wrt l?\nAnswer: -78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.227, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 2*j**2 - 21*j - 4. What is p(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -26509 at most -26515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 77 + -181?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/17 (b) -8\/89 (c) -1\/3 (d) -5 (e) -2 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.194212647 to 4 decimal places.\nAnswer: 3.1942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -626*p + 225. Let u be k(0). Solve 48*y - 63 - u = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1)*(34810\/(-354) + 82)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*m, j - 2080 = -3*m. What is the highest common factor of j and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 3. Let x be p(1). Let v be 42\/5 + x\/10. Solve -v = -f + 3*g - 1, 4*f + 14 = -2*g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -25*z. Let t(r) = -r**2 + 24*r. Give b(t(n)).\nAnswer: 25*n**2 - 600*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140475*b + 3*b**2 - 70176*b - 70299*b + 14*b**2.\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w + 252 = 18*w + 110 - 130 for w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2737492?\nAnswer: 2, 684373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4223040402 (base 5) to base 7\nAnswer: -134536311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/95 - -278\/665. Factor -18\/7*i - z*i**2 - 27\/7.\nAnswer: -3*(i + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h - 5*h = 132. Let l be (h\/(-35)*-5)\/((-1)\/21). Calculate the greatest common divisor of l and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297742368?\nAnswer: 2, 3, 7, 11, 47, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -2. Let c = 1446 - 1444. Suppose -c*g = -i*n, 4*g + 46 = -3*n + 20. Which is bigger: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 - 85. Is 1016\/10*((-5)\/10 - z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 90408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 - 89. Suppose 0 = 3*r + j*r - 110. Suppose 82 = 4*p - 4*u + r, 3*u = -15. What is the remainder when 19 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 291517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**5\/60 - h**4\/4 + h**3\/6 + 9*h**2. Let x(l) = -l + 4. Let i be x(9). Give q(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -3\/2*i**2 + 0 - i**3 + 9*i. Differentiate a(v) with respect to v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 16*t + 13. Let d be q(-15). Let h = -12 + d. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -26*h + 31*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - n)*(5*n**3 - 1672*n**4 + 735*n**4 + 772*n**4).\nAnswer: 165*n**5 - 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 168\/72 - 15\/(-9). Let r be (-2)\/i*(-23 - -19). What is the closest to -1 in -1, 2\/7, 0.2, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let z(s) = s**2 - 5*s + 6. Let b be z(4). Suppose b*u = -n*u + 24. Solve v - 4 = -k - u, -13 = 5*k - 4*v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 3.76, -2\/5, 1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1076\/12)\/1 - (-210)\/90. Solve -90*r = -w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 7:33 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 2899. Let d(v) = -2*v. Calculate d(h(i)).\nAnswer: -2*i - 5798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + q + 13 = 0, 52 = -19*v + 17*v - 4*q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 5*s**2 - 3*s**2)*(0*s**2 - 5*s**2 - 8*s**2).\nAnswer: -13*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 11 = -c, -5*w - 252 + 263 = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(315)*-4 - sqrt(35))\/(6*(sqrt(7) - (-2*sqrt(7) + sqrt(7))))*3.\nAnswer: -13*sqrt(5)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + 11*h**4 + 8*h**4)*(4 + 2 + 0)*(-1 + 3 + 3 + (4 - 4 - 2)*(2 + 2 - 6)).\nAnswer: 1134*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/((-15)\/2))\/(-2). Let o = -9 - -11. Let t be (o\/(-8))\/(6\/12). What is the nearest to 0 in 3\/2, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + v - 2*v)*(-2 + 2 - 3*v) + 2 + 2*v**2 - 2 - 948 + 948 - 57*v**2.\nAnswer: -52*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, h: 1, e: 3, g: 1, k: 1, w: 2}. What is prob of picking 2 w, 1 h, and 1 e?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 42253722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(162) + 1*sqrt(162))**2)*4 + (sqrt(162) - (sqrt(162)*-3*-5 - sqrt(162))**2)*5.\nAnswer: -156176 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15288067285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 > 0.56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -7*v - 0*v - 118945. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -1 - (378 - 389)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 497190*b**3 - 12365362685*b**2 - 271857525720*b - 1494885584720.\nAnswer: -5*(b + 11)**2*(b + 49708)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36369 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -133+94\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490264957125 + 8.\nAnswer: 490264957133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 62997297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/13 in 0.5, -3\/8, 1, 2\/9, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -105*a + 102*a - 3*j, 3 = 4*a - 3*j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v + 8. Let x be (-1 - 3)\/4 + 9. List the prime factors of p(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*c + 4 + 18, -y - 2 = 3*c. Does 2 divide (-1)\/4 + 17\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 27 = 4*f, -3*z = 50*f - 53*f - 18 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -446, -890, -1320, -1730, -2114?\n\"Answer: q**3 + q**2 - 454*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8993*j + 336714 - 1056154 = 0 for j.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1755)\/(-90))\/39)\/(1\/(-34)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 3*h**3 + 0*h**2 + h**2 - 2*h**3 + 3*h in the form b + d*h + a*h**3 + m*h**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 divided by 115.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 764 and 135420.\nAnswer: 25865220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1639495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/6)\/((-1)\/6). Suppose a*q - 4*f - 3708 = 0, -q - f + 1226 = f. Suppose u = 5*d - q, -5*d - 2*u - 3*u = -1220. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -186, -249, -314?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(-7)\/z)*z)\/z*z**0*z*z)\/(z*z**5*z*z**(2\/11)))**(-2\/3) assuming z is positive.\nAnswer: z**(-28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3660*l - 96 = 3676*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koob when four letters picked without replacement from {b: 7, g: 1, o: 7, k: 1}?\nAnswer: 7\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147231 and 13699.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 7:14 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/5)\/12*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2524906.5414 to the nearest ten.\nAnswer: 2524910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5852 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 66*z**2 - 4. Let o(q) = -1650*q**2 + 99. Let u(r) = -460*r + 5881. Let c be u(13). Give c*f(g) - 4*o(g).\nAnswer: 66*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -391\/12 - -133\/4. Which is the third smallest value? (a) i (b) -0.5 (c) -0.3 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 1:08 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6241195 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/484 and 19\/2?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-4 - (-15 - -27))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479*f - 318*f = 322. Let s(p) be the first derivative of 1\/12*p**4 - f*p - 5\/6*p**2 - 19 + 2\/9*p**3. Solve s(o) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 291 - 47.6514\nAnswer: 243.3486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + 6*k)*(-k**2 + 2*k**2 + k**2) + 46*k**3 + 44*k**3 + 75*k**3.\nAnswer: 171*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*(3 + (-95)\/30).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/8778 and 157\/12540?\nAnswer: 87780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r**3 + 4*r**3 + r**3 - 3*r**2 to s*r + w*r**3 + n + x*r**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (9\/(-3) + 0). Suppose -t*w = -8*w + 50. Suppose -25*y + 16 = -109. What is the highest common factor of y and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(198))\/sqrt(11).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222 is divided by 149?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820733445?\nAnswer: 3, 5, 7, 37, 23473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -748 + 779. Is t smaller than 1.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 4 = -4*x + 3*w, -2*x - 5 = -w. Let d be x\/(((-3)\/(-1))\/3). Is (-4 - -3)\/(d\/53) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + 33. Calculate t(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420440000 rounded to the nearest one million?\nAnswer: 420000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3070 is divided by 3020.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1322 and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 160650 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8433 is divided by 143.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by 1\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u + 48 = 18*u. Suppose -r = -3*v + 16, -2*v = -5*r - u - 3. What is the smallest common multiple of 30 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 17*a**2 - 19*a - 45. Is h(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q**2 - 62275 - 62282 + 124557.\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 156794?\nAnswer: 156793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -230, -224, -218, -212?\n\"Answer: 6*r - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1942 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, 0.1, 5, 0.19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2 - 6*n - 13. Let b(z) = -3*z**2 - 7*z - 13. Let h(y) = -4*b(y) + 5*v(y). What is the derivative of h(r) wrt r?\nAnswer: -16*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 237216 and 48.\nAnswer: 237216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6\/37 + 19\/111. Let u(m) be the second derivative of 0 + 0*m**2 + t*m**3 - m + 1\/12*m**4. What is the second derivative of u(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3*r)**(-5\/2)\/(r**11*r*r*r**9) assuming r is positive.\nAnswer: r**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4488 is divided by 107?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 40*n**2 + 36*n**2 - 71*n**2 to k*n**2 + a*n + t and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25520 and 65.\nAnswer: 331760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50087711751485*h - 3*h**2 - 50087711751485*h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44123 + 240?\nAnswer: -43443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -145000 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.019 - -14.619. Let k = l + -15. Let v be (-1)\/2 + (-14)\/(-44). Which is the nearest to 0? (a) k (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/177848591?\nAnswer: 2\/177848591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1813563776.\nAnswer: 2, 1801, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 11*d**3 - d**2 - 10*d + 7. Let j(q) = 12*q**2 + 13*q + 18. Let w(m) = -m**3 + 3*m**2 + 4*m + 4. Let t(l) = j(l) - 4*w(l). Calculate 2*n(p) - 7*t(p).\nAnswer: -6*p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 4*m - 1. Suppose 0 = -4*s - 2*d + 4 + 8, 0 = -d. Suppose 0 = 14*i - 20*i - 47*i + 689. What is the remainder when i is divided by o(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -357 - -645. Is 80 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206665685 divided by 281945?\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226924 divided by 113462.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 597345, 597347, 597349, 597351, 597353?\n\"Answer: 2*l + 597343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**5 - 87*o**4 + 51*o**3 + 8607*o**2 + 29652*o - 38220 = 0. Calculate o.\nAnswer: -26, -7, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, -64, 2 in ascending order.\nAnswer: -64, -8, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8061 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 35*g = -63*g - 178. Let s = -100 - -49. Let p = 36 + s. What is the second smallest value in -1, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 11. Suppose z - g = -11, 3*z - z = -p*g - 22. Is -11 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/3*20\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*y + 50, 3*y - 23 = 2*i + 4*y. Let n(l) = -2*l**3 + 4*l**2 + l - 3. Let m be n(3). Let t = m - i. Put 5, 3, t in descending order.\nAnswer: 5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 12*w**2 - 2*w + 28. Let d be y(12). Calculate the highest common factor of d and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 271 + -242. Find the third derivative of 0 + g*u**3 + 172*u**2 - 2*u**4 + 0 + 3*u**3 + 16*u**3 wrt u.\nAnswer: -48*u + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0755, 296, -0.2, -2\/3, -19 in ascending order.\nAnswer: -19, -2\/3, -0.2, 0.0755, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(170) - sqrt(170)) + sqrt(170) - sqrt(170))\/sqrt(10) - (sqrt(136)\/(sqrt(8) + (sqrt(32) - sqrt(8))))**2.\nAnswer: -17\/4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1895525?\nAnswer: 5, 75821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - (-132)\/(-33) - (-1 - 13)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19539227593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109501?\nAnswer: 7, 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 56 = -20*k. Let u(f) = 49 + 3*f + k - 105. Let q(s) = -3*s**2 - 10. Calculate u(q(g)).\nAnswer: -9*g**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + -3. Let i = 31 + b. Suppose -i - 17 = -3*j. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5517 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/((-18)\/12). Let k = -370.5 + 371. What is the closest to h in 3, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -16\/33*w**3 - 1\/11*w**4 + 0*w**2 + 37 + 0*w + 2\/55*w**5. Find o, given that k(o) = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2. Let w(z) be the first derivative of z**4\/24 + z**3\/6 - 16*z**2 - 46. Let y(p) be the second derivative of w(p). What is x(y(h))?\nAnswer: 2*h**2 + 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2957229 - 2957229 - 2*m. Let d(i) = -4602*i. Give a(d(z)).\nAnswer: 9204*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 3*k**3 - k**3)*(1 + 0 - 2 + (-4 + 2 + 0)*(2 - 5 + 2)) + 5*k**3 - 20*k**3 - 6*k**3.\nAnswer: -23*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbsbjcsjscjjjsjcjbc. Give prob of picking 1 c and 1 j.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006070389 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26 - (-2 + 0)\/2. Let c = -30 + d. Sort 9, c, 5 in increasing order.\nAnswer: c, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 17. Suppose 0 = 2*b - 6*b - k + 18, -3*k + 19 = p*b. Solve -c = -4*z - 6, 0 = 2*c + z + 1 + b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45206 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 78 = 105. Suppose c*n - 26*n = 797. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-564)\/(-36))\/((-1)\/(-3)) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 0*r**2 + 0 + 45*r + 1\/6*r**3. Let m(f) = -3*f + f - 6*f**2 + 2*f. Determine y(m(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**4 - 5*a**3 + 2*a**2 - 2*a - 2. Let v(q) = 5*q**4 - 26*q**3 + 10*q**2 - 11*q - 11. Let s(i) = -22*f(i) + 4*v(i). Factor s(j).\nAnswer: -2*j**2*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:18 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/27 + 1126082\/(-252). Let a = n + 4466. Find the common denominator of a and (-495)\/171 - (-3)\/2.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 103817 + 1473?\nAnswer: 10518a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 36*u**2 + 335*u + 6. Calculate the least common multiple of 380 and o(12).\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21565447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.42369 months to millennia.\nAnswer: 0.0035353075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 32*c + 116. Let f be z(-35). Suppose -f*p + 2883 = -8*p. Does 31 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4520447851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = s - 33, 5*s = 15*p - 19*p + 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110102 (base 3) in base 15?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 13) to base 10\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 14 + 16 + -23 - (19 + 101)?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, 1\/2, -3\/7, -0.5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1036 - -2303?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15974 + 15974 + 6*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, 2, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*y = 24*y - 103*y + 110400. Calculate the smallest common multiple of 345 and y.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -318*i**2 - 2*i**3 + 12*i + 324*i**2 - 10*i + 1 + 7 + 3*i**3. Suppose -4*t + 8 = t + a, -3*a = 6. Let z be 6*(t\/(-1) - -1). Calculate b(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*v**2 - 24*v**2 + 7*v**2 - 48*v**2.\nAnswer: -105*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -3 (c) -5 (d) 2\/113 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 535819, 1071639, 1607459, 2143279, 2679099, 3214919?\n\"Answer: 535820*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 72.8784*-2\nAnswer: -145.7568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 397046067 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 = -3021*r + 3035*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 10 = 0, 3*q + 0*q + 5*z + 274 = 0. Let d be ((-4)\/(-10))\/(6\/(-30)). Is (d - q) + 4\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -953*x + 5. Determine q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/24*(-60)\/(-9)*((-1596)\/(-2185))\/14?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17987 take away -2.3?\nAnswer: 2.47987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**2\/7 + 137787*x + 964506\/7 = 0.\nAnswer: -321502, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125*w + 84*w + 1132 + 749 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 37\/2*s**2 + 0*s + 11\/3*s**3 + 37. Find the second derivative of z(v) wrt v.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-7442 + 3718 - 399*i + 3721).\nAnswer: -399*i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -5, 2\/749, -2, -1\/10?\nAnswer: 2\/749","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*v - 9, 2*v - x + 23 = 6 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*n + 7*n - 12436500000. Round n to the nearest 1000000.\nAnswer: 166000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 61. Let d be (4\/6)\/(b\/(-2241)). Suppose 3*w + d = 5*i, -4 = -i - w + 11. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 910 and 65?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8295 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.503396049024 and 0.1.\nAnswer: 0.603396049024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95.179175626 + -1.820829274. Let u = -2.3 + 99.3. Let w = u + x. What is w rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108 + 6 + 972*w - w**3 - 981*w to n*w**2 + f + k*w**3 + x*w and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, j: 2, x: 2, e: 1, c: 6, s: 1}. Give prob of picking 1 x and 1 j.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2. Let v be ((-18)\/(-24))\/(2\/24). Let t(u) = -v + 15 - 4*u**2 + 2. Determine t(g(x)).\nAnswer: -16*x**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66297, 66130, 65963, 65796?\nAnswer: 65629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 24*j**5 - 12050*j**4 + 63776*j**3 - 95376*j**2 - 128*j + 63584 = 0.\nAnswer: -2\/3, 2, 1987\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g. Let k = 6 - 4. Let d(h) = 1 + h + 13*h**2 - 12*h**k - 1. Let s(y) = 3*d(y) + x(y). What is the second derivative of s(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-1 + sqrt(5))**2 - 3*(sqrt(5) - (-1*sqrt(5))**2)) + (sqrt(45)*-2 - sqrt(5) - (4*sqrt(5) + -3 - sqrt(5)))**2.\nAnswer: -63*sqrt(5) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6217 - 6150. Solve -66*u = -o*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 3*x**2 - 4*x - 3. Calculate a(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 44*i + 24. Let o(b) = -2*b**3 + b**2 + 2*b + 3. Let z be o(0). Suppose -n = 4*y + 96, y + 7 + 17 = z*n. What is the units digit of r(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 2*f**2 + 2*f**2 + 8*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000509936 to 7 decimal places.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5126131 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1168 - 34*l**2 + 1168 - 3508 + 1170.\nAnswer: -34*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 530 = -7*z + 556, -24*f + 3*z + 12 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*d - 37 = -k, d + 109 = 4*k. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5912209090.\nAnswer: 2, 5, 281, 2103989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, -1, 2, 3, -5 in increasing order.\nAnswer: -5, -1, 2, 3, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 590.2014t?\nAnswer: 590201400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33610201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18312350647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**18)\/h)**(-5\/2) assuming h is positive.\nAnswer: h**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -24*o - 18. What are the prime factors of r(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - f + 1. Let o(c) = c**2 + 2*c - 1. Let q(y) = 11*y**2 + 16*y - 27. Let t(b) = -4*o(b) + q(b). Calculate -6*j(n) - t(n).\nAnswer: -n**2 - 2*n + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from ftffffftffff.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**6\/60 + 11*a**5\/15 - 7*a**4\/4 + 13*a**2 - 6*a - 17. Determine k so that m(k) = 0.\nAnswer: 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4285762 is divided by 287.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013880288 rounded to 4 decimal places?\nAnswer: -0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 9*j - 3*p - 147547, 4*p + 73761 = j. What is the ten thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-9) + 37578\/(-216). Let p = 174 + y. Sort -3\/5, p, -19.\nAnswer: -19, -3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*m - 11*m**5 + 17*m + 25*m**5 + 21*m**5 - 112*m**5 + (2*m**4 - 3*m**4 + 3*m**4)*(-4 - 3*m + 4) + 2*m**5 + 0*m**5 - m**5.\nAnswer: -82*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-470*h**2 + 3787 + 15*h - 3786 + 7*h)*(5*h**2 + 0*h**2 - 4*h**2).\nAnswer: -470*h**4 + 22*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -0.02821794?\nAnswer: 0.12821794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11182563 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 46*t - 45*t + 20, -t - 5*q - 25 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2393530*i**2 - 21597015*i wrt i.\nAnswer: -4787060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 55. Suppose -j*q = -1712 - 738. Is q a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 10*a**3\/3 - 15*a**2 - 60*a. Let q be r(-32). What is q rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552978 at most as big as 552981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5154 or 2.1139?\nAnswer: 2.1139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -82876107721 - -1\nAnswer: -82876107720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80537\/21 + -3837. Calculate the common denominator of h and 8\/(-2) - (-402)\/(-108).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, u: 1, b: 2, j: 1}. What is prob of picking 1 j, 1 b, and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 174082 - -26?\nAnswer: 1740a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2877*v - 2879*v = -6, 3*v - 449821 = -4*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 4\/3 in increasing order.\nAnswer: -2, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -26*g**3 + 388*g**2 + 37*g - 122. What is z(15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*s - 330 = 72*s. Let u = 151 + -30. Calculate the highest common factor of s and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - (-63 - -13)) + 1 + 5 + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 11:53 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49996667 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + o = 7 - 23, 5*w + o = 29. Let a(r) = 38*r + 1. Is a(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220120202 + 1?\nAnswer: 220120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 574.6943mg to nanograms.\nAnswer: 574694300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -579900 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337 - 166 - 171 - 3*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 > -24725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/10 - (-23)\/5. Let a(o) = -o**3 + 6*o**2 - 2*o - 6. What is the units digit of a(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -6, 23, 136, 375, 782, 1399?\nAnswer: 2268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -78*u**2 + 17*u + 6. Let d(w) = 468*w**2 - 96*w - 34. Let v(f) = 34*b(f) + 6*d(f). Let a(n) = 2*n**2. Calculate v(a(m)).\nAnswer: 624*m**4 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 0 - -2 - 0) + (-3 - -57).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.7 or -7594.19?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-11\/4))\/((k\/((k**(1\/4)\/k)\/k*k))\/k)*k**(-1\/6)\/(k*k\/(k\/k**(-19))) assuming k is positive.\nAnswer: k**(125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -147 - -148. Let g(c) be the first derivative of -8\/5*c + w - 14\/15*c**3 + 16\/5*c**2. Factor g(r).\nAnswer: -2*(r - 2)*(7*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.403 - -0.3?\nAnswer: -12.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-40)\/50)\/((-6)\/465). Let s = a - 6. Calculate the greatest common factor of s and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006110639 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41121, 164279, 369491, 656757, 1026077, 1477451, 2010879?\n\"Answer: 41027*d**2 + 77*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1350 + -891. Is i a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 (base 9) in base 10?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, e: 2, k: 1, m: 1, c: 3, w: 2}. What is prob of sequence eek?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b393875 + 1?\nAnswer: -b393874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16\/11 (b) -78.73 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1828410*t**4 - 205265*t + 16 wrt t?\nAnswer: 21940920*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/15)\/(1*2\/(-10)). Factor -1\/3*j**2 + j - p.\nAnswer: -(j - 2)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5\/9)\/(n*(n**6\/n)\/n) assuming n is positive.\nAnswer: n**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 10:05 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d (base 15) to base 6.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 402.823 + -403. Let o = -0.17 - y. Round o to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.12 + -165.88. Let z = a - -166.000529. Round z to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1716\/(-120) - -14) + (-85)\/50?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = 2*a. What is the common denominator of -101\/20 and (-198)\/(-20) + 0\/a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20595 + 617951\/30. Calculate the common denominator of -82\/975 and w.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -n - 4*n. Let q = 0.54 + 0.06. Let u = q - -3.4. Sort n, 0.1, u.\nAnswer: 0.1, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*b + 146 = 338*b + 2*j, -3*b + 4*j + 72 = 0 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-322)\/(-98)*7 + -10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**5\/60 + y**4\/12 - 7*y**2 - 3. Let q(d) = d**2 - d. What is c(b) - 2*q(b)?\nAnswer: -b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/129239 and -91\/469960?\nAnswer: 5169560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**0)\/g)**14)**(-1\/22) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4611551 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 24 = -24. Let u(v) = -5*v + 19. Let r be u(6). Let c = r - m. Calculate the remainder when 3 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.099697ng to micrograms.\nAnswer: 0.004099697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 884 + 2?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/36 - (-28)\/441. Let u = 5 - 9. Let l = -0.3 - -0.8. What is the nearest to k in l, u, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 14*u - 13. Let v(g) = g + 3. Let s be v(-5). Let r be -18*-1*1\/s. Is q(r) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*m + 684 = 0, 5*n = -m + 515 + 322. What is the highest common divisor of 525 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/308 at least 115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joje when four letters picked without replacement from {o: 1, e: 4, j: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20402 is divided by 198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -1)*1\/(-4). Let f be (5\/5)\/((-7)\/(-21)). Let z(v) = 2*v**2 - 9*v + 5. Let q be z(f). Put q, m, -3 in increasing order.\nAnswer: q, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 1\/6, -3\/5, -0.085642, 4\/5, -2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**5 + k**5 + 0*k**5 + (-4*k**5 + 2*k**5 + k**5)*(-1 + 3 - 1) - 2*k**5 + 2*k**5 + 2*k**5 + k**5 - k**5 + k**5 + 2*k - 2*k**5 + 5*k**5 - 4*k**5.\nAnswer: 6*k**5 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17529 is divided by 1767?\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(612) + 3 - 2*(1 + sqrt(1377)))*-3.\nAnswer: -3 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6485 (base 10) to base 6\nAnswer: -50005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -25*f + 14. Let j(b) = 25*b - 12. What is -3*h(w) - 4*j(w)?\nAnswer: -25*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (19924\/(-20))\/17*-295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**5\/20 + 3*t**4\/4 - 17*t**3\/6 + 23*t**2\/2 + 67*t. Let g be p(7). Factor 10\/3*k - g + 2\/9*k**3 - 14\/9*k**2.\nAnswer: 2*(k - 3)**2*(k - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 6 (c) -0.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65 less than 3.798?\nAnswer: 3.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9}. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6919.4429 to the nearest integer.\nAnswer: 6919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 5. Let l be j(-4). Solve 16 = 4*i + d, -l*d - 2*d + 29 = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7 + 0.7. Which is smaller: -7 or k?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4117333076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-27)\/(-18)*-3 - (-34 + 46)\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 4*o - 26*o**2 + 0*o.\nAnswer: -26*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6 = -a, -5*j = -2*a - 29 + 8. Suppose -3*g + 9 = -j. Suppose -x + g = 0, -3*k = -0*x - x + 4. Solve k*t = -t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3126\/10 + (-6)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 11332, 30, 0.2.\nAnswer: 0.06, 0.2, 30, 11332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:11 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1022424127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + ((-2)\/4)\/(1\/2). Sort 3, 11, 1, o in ascending order.\nAnswer: 1, 3, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*k**3 - 311*k**2 + 160*k**2 + 15*k + k**4 + 5*k**3 + 151*k**2 as r*k + b*k**4 + s + n*k**2 + y*k**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165600.00000072009 + 165600. What is s rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/75709200 and -23\/1680.\nAnswer: 75709200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -13. Which is the closest to -2? (a) -5 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 16 = -4*q, 2*h + 1 = -q + 5. Suppose 0*k - 2*k = h. What is the third derivative of 10*f**3 - 9*f**2 + 0*f**3 + 0*f**3 + k*f**3 wrt f?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2 - 5 - 209*j - 620*j. Let v be h(-7). What is v rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 8 + 0 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39021 (base 13) in base 15?\nAnswer: -213c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3947 - 3937. What is the remainder when 177 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(300)*1 + 1 + sqrt(300) + 2)*6)**2 - (2 + (-1 + -2 + sqrt(300))*2).\nAnswer: 7180*sqrt(3) + 44104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2104, -2093, -2060, -1993, -1880, -1709?\n\"Answer: 2*f**3 - f**2 - 2105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 3952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.65 + -28. Let h = t - -262.35. Let g = h - 261.0000278. Round g to 6 decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-35)\/10 + -3.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-7 + -7 + 2 - -20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 8:59 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2575 - -11203. Let i be v\/28 + 12\/(-84). Calculate the greatest common factor of i and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591 >= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.607 - 10.597. Let f = -0.41 - -0.01. Which is the second biggest value? (a) h (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389741 is divided by 129905.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + t - 1)*(-t + 5*t - 3*t)*(58 - 58 + 5*t**2).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**4 + 56*w - 74*w**3 - 7*w**4 - 118*w**2 + 91 + w**5 + 37 + 18*w**2 = 0. What is w?\nAnswer: -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994 a factor of 958775622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 277 + 8*f**2 - 141 - 136.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165*p**3 - 24*p wrt p?\nAnswer: 990*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32895 + 51*z**2 - 32898 - 106*z**2.\nAnswer: -55*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1085 + 102 + 0*l + 983 - 5*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2057) + -1 + 2 + 5))**2*-4.\nAnswer: -75348 - 4752*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7308 + 7345. Solve 50*j + 163 = -y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - w - 11, -5*w = -0 + 25. Suppose -h*k + 60 = k. Calculate the greatest common factor of 60 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 + 5*j**2 + 5*j + 2. Let r = 37 + -29. Let g(m) be the first derivative of 3*m**4\/4 + 8*m**3\/3 + 4*m**2 + 3*m + 12. Give r*t(z) - 5*g(z).\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*(m\/((m*m**(-6)\/m)\/m))\/m)\/m)\/(m*m*m**(2\/23)))\/(m**3*m*m**(-3\/2)))\/((m*m**(2\/3))\/m**(1\/5))**(-4\/9) assuming m is positive.\nAnswer: m**(19033\/6210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/42*4)\/((-810)\/(-4725)). Let k be (-1)\/3 + (-28)\/(-60). Sort 2, k, n in descending order.\nAnswer: 2, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 684479467 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(224)*-2)\/sqrt(4) - (3*sqrt(2016) + sqrt(2016)))\/(1*sqrt(72)*-4*-3))**2.\nAnswer: 1183\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 10*n + 14. Give r(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34968235 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 1)*(3 - 5 + 4)*(-8*u**3 + 4*u**3 - 2*u**3) - 4*u - 2*u**3 + 4*u)*(22*u - 62*u - 22*u).\nAnswer: 2356*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 536*i + 8552. Give z(-18).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3)*(-3*d + 3*d + d)*(-1 - 1 + 0) - 1 - d + 1.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a hour in seconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 153365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-15)\/(-24)) - (-3)\/(-5). Let o(d) = d**2 + 5*d - 1. Let z be o(-5). Is z at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**2 - 83*n**3 + 35*n**2 + 85*n**3 + 8 + 36*n**2 - 8.\nAnswer: 2*n**3 + 57*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640 = 898*u - 962*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 6. Let x(g) = 2*g - 7. Let j(w) = 3*u(w) + 2*x(w). What are the prime factors of j(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/2, -0.2, 6374, -1\/4, -0.352?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -17.19141?\nAnswer: -14.19141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2. Suppose 0 = -6*t - 0*t - 2520. Let w be (1*-1)\/(12\/t). Let x(c) = -w*c + 11*c - 15*c. Determine x(a(s)).\nAnswer: 78*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2153 + -1021. Find the third derivative of 9*t**6 + 11*t**6 + o*t**5 - 1132*t**5 - 22*t**2 wrt t.\nAnswer: 2400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrfjffjffnzfjn. Give prob of sequence fnn.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i. Let o(g) be the third derivative of -g**5\/15 - 8*g**2. Calculate o(s(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.49233 kilograms in tonnes?\nAnswer: 0.06749233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 16. What is the remainder when 6 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*d = -1475236 - 473438. List the prime factors of d.\nAnswer: 2, 3, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -5*z + 7. Let o(k) = -k**3 + 14*k**2 + 2*k + 13. Let j be o(z). Suppose 4*x - 31 = j. Calculate the greatest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 33. Calculate the highest common factor of v and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 93, 3, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 28*g - 35. Suppose 1 - 13 = -3*s. Let m(q) = -s + 5 + 5*q - 2*q - 2 - 2*q. Determine -b(x) + 35*m(x).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2. Let w(y) = -3*y + 3*y + 8*y. Give l(w(i)).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27713 and 1760899.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133 + 131. Let g(z) = -z**3 - z**2 + z - 2. Let f be g(y). Solve 2*v - 16 = -4*l + 6*v, f = -l - v + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -31*v**2. Let w be (-4 - 12\/(-3)) + 1*2. Let z(m) = 425 - m**w - 425. Calculate l(z(f)).\nAnswer: -31*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1803 and 368413.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 3*l + 3*l)*(-171 - 39 - 74 + 58) + (5*l + l + 2*l)*(-1 - 2 + 4) to the form q*l + p and give q.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -218\/77 + 28\/11. Let w be (2\/(-12))\/((-4)\/4696). Let a = -194 + w. Put -5, k, a in increasing order.\nAnswer: -5, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*j + 27*j - 19700. Let s = 3379 - j. Let q = 23158\/15 + s. What is the common denominator of -23\/24 and q?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 9:25 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 5*y**2 - 7*y - 18. Determine t(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3927, -3990, -4051, -4110, -4167, -4222, -4275?\nAnswer: -4326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539)*2 - sqrt(110)\/(sqrt(10) + sqrt(40) - sqrt(10)).\nAnswer: 27*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 111712474.\nAnswer: -9\/111712474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 13, -54, 2\/19, 12?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 2 (b) 9438 (c) -0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(637) + (3*(sqrt(13) - sqrt(468)))**2.\nAnswer: -7*sqrt(13) + 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -577073?\nAnswer: 2\/577073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2844 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11022020022002 (base 3) in base 6?\nAnswer: -121011432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2*w = -2*h + 4, -4*w - 2*h + 2 = 0. Suppose -2*q - w*d - 18 = -6*d, -19 = -q - 5*d. List the prime factors of (0 - -12)\/(q - -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/158844 and -109\/6076.\nAnswer: 1111908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1124*b - 4753 wrt b?\nAnswer: -1124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63.96 + -59. Let h = 0.04 + a. Let s = -17 - -19. What is the biggest value in 0, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115 + 202. Calculate the remainder when p is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874675 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7))**(4\/7)*(z*z\/z**(2\/3))**(-47) assuming z is positive.\nAnswer: z**(-9236\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -893*t + 912*t + 19 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1079*w**4 + 3*w**2 - 12467*w?\nAnswer: 12948*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 287499020 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxppuuupxpuppuuu. What is prob of sequence up?\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 4, k: 1, r: 2, m: 4, c: 3}. Give prob of picking 1 m and 1 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34 and 0.026182?\nAnswer: 34.026182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2 - 4 - b + 7*b. Let h be (-1)\/2*6 - 1. Let c(f) = -f - 1. Let t(y) = 2*y + 4. Let u(p) = -3*c(p) - t(p). Give h*u(m) + j(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5398*a**4*n - 7*a**2*n + 40124*n wrt a.\nAnswer: -21592*a**3*n - 14*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35\/22 + -12\/11. Let u be ((-4)\/10)\/((-21)\/(-15)). Let g = 17.537 + -19.537. Which is the closest to y? (a) -1 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -71527 and 0.6.\nAnswer: -42916.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 3. Let v be j(-4). Suppose w - p = 4, -p + v = w + 5. Solve 2*y = -0*y - w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 479 - 142. Let t = p - 336.94. Let l = 0.2 - 0.6. What is the biggest value in l, 2, t, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/2 + 3495*q\/2.\nAnswer: -3*q*(q - 1165)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + m - 2)*(2 - 3 - 1) + 3*m + 2 - 2 + 208*m - 1227*m - 775*m + 234*m)*(4 + 0 - 2) + 3 - m - 3 in the form h + g*m and give g.\nAnswer: -3119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, -5, -0.016, 2\/9, -1\/1132?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*l + 21 - 3 = 0, 0 = 4*a - 4*l - 32. Let i = -3 + a. Let v(d) = 3*d - 2*d**2 - i*d. Let z(h) = h. Give z(v(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*t**2 - 1005*t + 1005*t)*(-1 + 5 - 2)*(-4 + 2 - 2) to the form d*t**2 + o*t + l and give d.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 416, 867, 1330, 1811, 2316, 2851?\nAnswer: 3422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 743, -4, 24 in increasing order.\nAnswer: -4, 24, 743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.70984ml in litres?\nAnswer: 0.09370984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -137, -222, -305, -386?\n\"Answer: o**2 - 88*o - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 510 + -430. Suppose 2*w + 2*g - 32 = 0, -4*w + 7*g + y = 3*g. Calculate the lowest common multiple of 8\/((-2 - -1)*-1) and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.02362 - -0.02362. Let g = -3 + 3.1. What is the nearest to 0 in g, 0.4, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 11. Let t(j) = -3*j**3 + j**2 + 4*j + 1. Let o be t(-2). Suppose -40 = 11*w - o*w. Solve -w*i + 3 = -d*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/798)\/((-2)\/42*-6).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(-1 + sqrt(13)) + (sqrt(13) + -1)**2*-1).\nAnswer: -15*sqrt(13) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.066, -2.4, -6\/17, -804 in descending order.\nAnswer: -0.066, -6\/17, -2.4, -804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, t: 2, w: 4, n: 5}. What is prob of picking 2 w and 1 i?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1377))*1.\nAnswer: -2 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 20*h - 2. Let y(s) = -25*s + 72. Let g(i) = -52*i + 179. Let u(k) = -2*g(k) + 5*y(k). Determine -5*l(a) - 4*u(a).\nAnswer: -16*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.771 or 1331\/5?\nAnswer: -2.771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 754, 0.1, 0.4, -19, 1 in descending order.\nAnswer: 754, 1, 0.4, 0.1, -0.5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.25 times 347697?\nAnswer: -1477712.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*r + 248*r = 65*r - 30*r + 11720 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.262 + 0.562. Sort 0, u, -0.119 in decreasing order.\nAnswer: u, 0, -0.119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-33)\/((-1584)\/2208)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-28)*(-3)\/27?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*2)\/((-1)\/(-2)). Suppose i + w*f = -2, -4*i + 30 = 3*f - 1. What is the least common multiple of 4 - (-1 + 3 + -2) and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2280\/988*1456\/(-42)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92352971?\nAnswer: 92352971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.219 - 0.594. Let t = f + 2.375. Let c = 0 - 2. What is the third smallest value in 2\/11, -0.05, c, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -0*z + 2*a - 9, -5*a + 16 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-133)\/42 - -4)\/(2\/12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 10. Let o be p(9). Let s(q) = q**2 + 4*q - 12. Does 4 divide s(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**4 + 2*l**4 + 3*l**4)*(-590 + 263 - 1 - 1482).\nAnswer: -1810*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/(-25))\/(-1)*1940\/2716.\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/11)\/(t\/t**(1\/5)))\/(t*t**(-4\/7)*t)**(-1\/6) assuming t is positive.\nAnswer: t**(-334\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-4)\/180*216\/180?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - 7. Let m be (-198)\/(-24) - (-8)\/((-128)\/20). Let w(c) = 3*c**3 - 24*c**2 + 19*c + 21. Let b be w(m). Determine l(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 885 + 1395 = 3*z. Does 113 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-3)\/(-12) - (-75)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + 114010?\nAnswer: 113551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 2 + -3)**2 + (-2 + -1*sqrt(272))**2 + -4.\nAnswer: 8*sqrt(17) + 545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(171) - -2*(-4*sqrt(171) + sqrt(171)))\/(sqrt(729)*-3 - sqrt(9)))**2.\nAnswer: 15*sqrt(19)\/14 + 7531\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 368140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -126.581685?\nAnswer: 130.581685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6.703 * 3394.9\nAnswer: -22756.0147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9031051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6100 + 6338 = 34*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3)\/m*m)**(-4))**26 assuming m is positive.\nAnswer: m**(208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**5\/19 + 12*d**4\/19 + 24*d**3\/19 + 20*d**2\/19 + 6*d\/19 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1304*k**3 - 45 + 10*k**2 - 1308*k**3 - 4*k + 2620*k**3 wrt k.\nAnswer: 48*k + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39.3 + -41. What is the second biggest value in 2, 2\/15, j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972298529 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8 + (-2)\/16*26. Let j = d + 6. Calculate the highest common factor of j and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 49337693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n + 45. Let k be o(9). Suppose 5*b + t + t + 10 = k, 0 = -4*b + 2*t + 10. Solve 2*s + 2*f + f - 6 = 0, 2*s - f + 2 = b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-5)*-3*40\/36.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/82, 2\/11, -0.2, 179 in increasing order.\nAnswer: -0.2, -1\/82, 2\/11, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*((sqrt(300) - 2*sqrt(300)) + 2 + sqrt(300) - sqrt(300))**2*-1 + (-2 + -2*sqrt(300))**2 + (sqrt(300) - (2 + sqrt(300))) + 5.\nAnswer: -80*sqrt(3) + 2418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9614 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 469652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4747, 4706, 4663, 4618, 4571?\n\"Answer: -w**2 - 38*w + 4786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 - 3*w**4 + 2*w**4 + (-10*w**3 + 2*w**3 - 8*w**3)*(-w + w + w) in the form k*w**3 + s*w + m*w**4 + g + r*w**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -23 (b) -5 (c) 2 (d) -2\/217 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 22*t - 10. Give d(8).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 56623211 and 5606429.\nAnswer: 62229640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -138 + 36*h - 25*h - 13*h in the form d*h + q and give q.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8239318*p**5*s + 2*p**2*s + 350*p**2 - 12431*p*s wrt p.\nAnswer: 494359080*p**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 - 3*s**3 + 4*s.\nAnswer: s*(s - 2)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 10 = 0, 3*a + 4*j = -0*a + 4. Let q(f) = 12*f**3 - 4*f**2 + 3*f - 7. Is q(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g + 3*z - 129, 0 = 3*g + 5*z - 71. What is the greatest common factor of 135 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - ((-19 - -16) + (22 - -6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.003 - -0.097. Which is the second smallest value? (a) 3\/5 (b) s (c) 1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllwlllwzllll. Give prob of sequence lzll.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 562 - 525. What is the remainder when z is divided by 7\/(98\/116) - (-8)\/(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**2 + 11*o - 23. Let d = -36 + 43. Let i be w(d). Suppose 5*b - 211 = i. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -9, 0*y = d - 3*y - 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022489 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/26))\/y**(7\/3)*y**(-17)\/y**(-1\/9) assuming y is positive.\nAnswer: y**(-4255\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)\/sqrt(4) + -2 + (sqrt(28)\/sqrt(4))**2.\nAnswer: 5 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 85. Let s be (-4)\/(-6) - z\/3. Let v be s\/3 - (-3)\/9. Calculate the highest common factor of 45 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -12*o + 537. What is the hundreds digit of u(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p + 403436 = 27*p. List the prime factors of p.\nAnswer: 2, 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1741354 + 2?\nAnswer: 1741356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - 4.4. Suppose -a - 1 = -3*c + 16, 5*c - 20 = 0. Suppose 0 = -6*p + 2*p - 4. What is the third smallest value in l, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/90*(-6 - -3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4851465 divided by -323431?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*a + 2 + 36 = 0, -3*a + 30 = -3*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/133 (b) -0.6 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (2 + 0))\/(-1). Suppose 4*y - l + 0*l = 6, c = 5*y - 5*l. Let q be (-5)\/(-2)*y*(-12)\/10. Round q to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2351, 2350, 2349, 2348, 2347?\n\"Answer: -v + 2352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/3 - 21194*r\/3 - 112296409\/3 = 0. What is r?\nAnswer: -10597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3600 and 50560920?\nAnswer: 505609200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5.1. Let y = j - -0.7. Let x = y - -0.4. Sort 0, x, -5 in descending order.\nAnswer: x, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.63761 nanometers to millimeters.\nAnswer: 0.00007063761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000663811 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 293475?\nAnswer: 293475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 19\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5194597 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -11\/5. What is the closest to 2 in -3, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 8. Let m be k(6). Let i(p) = -m - 2 - 2*p + p. Calculate i(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**5\/20 + w**4\/3 - w**3\/6 - w**2 + 2*w. Let y(q) = -q + 10. Let p be y(7). Calculate v(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 4. Sort c, 3\/10, -2.\nAnswer: c, -2, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*-2 + 1. Suppose -4*a + 4*l + o = -4, -4*a + 28 = 2*l. Let m be ((-5)\/3)\/(2 - 42\/18). Solve 2*r = a*z + 10, 0 = m*z + 4*r + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 413 divide 556724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + 3 - 4\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135.1 + -135. What is the nearest to c in -5, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 - -4. What is the least common multiple of 2 and (-2)\/(-8) + k\/8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 - 200. Let o be w*(-5)\/60 - 10\/12. Let y = 77 - 54. Solve -4*s - 4*q = -o*q - y, -2*s - 4*q - 2 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848.1443 rounded to 1 dp?\nAnswer: 2848.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.01+-3789927\nAnswer: -3789926.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - u - 4*a - 4, -4*u - 8 = 2*a. Let p(o) = 2*o**2 - 3*o - 4. Let x be p(3). Suppose 5*t + 20 = -x. Which is bigger: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*q + 4*t, 17 = -3*q - q - 3*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.7 + 178.7. Let c = 152.365 - 0.265. Let a = c - j. Round a to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7386 (base 13) to base 6\nAnswer: 202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.25 - -4. Let q = h + -0.05. Round q to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15154767 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-360)\/(-240)*(-8)\/(-3). Solve -j - 23 = -o*q, 2*q + j = -2*q + 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + sqrt(17)))**2*-1 + ((sqrt(17) + -2 + sqrt(833))**2 - (-1*sqrt(17) + 2)).\nAnswer: -98 + 257*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m = -14*m + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3124 + 100?\nAnswer: 3224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/20*3162800\/118605\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:41 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvh. What is prob of picking 1 h and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o + 2. Let r(l) = -9*l - 2. Let q(x) = -6*r(x) - 5*v(x). Let y(f) = -5*f - 3. Calculate -4*q(k) - 3*y(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22354 + 0?\nAnswer: -22354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-10 - -4) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9004.909mm to meters.\nAnswer: 9.004909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 23*y - 17. Let n(v) = 11*v - 3. Let q(k) = k - 2. Let x(h) = -n(h) - 4*q(h). Calculate 5*d(g) + 8*x(g).\nAnswer: -5*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59121?\nAnswer: 3, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a - 2. Let w be f(-1). Which is greater: w or 2\/15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*u = 9103 - 9263 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11111101100011000 (base 2) to base 7\nAnswer: -1050321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01352 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + 17 + -58 - -9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*g - 7 + 17, -2*k + 3*g + 14 = 0. Solve 2*p + n + k*n = 6, 2*p - 6 = 4*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.68 + 4.680002872. What is z rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39085152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -698\/165 + 48\/11. Sort 0.4, d, -0.5 in decreasing order.\nAnswer: 0.4, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 54*m**2 - m - 1. Let l = 51 - 52. What is the remainder when h(l) is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2074 is divided by 683.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + 0 - 3)\/((-1)\/2). What are the prime factors of (-2 + -31)*(2 + (g - 1))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1800 is divided by 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8946, -8944, -8942?\nAnswer: -8940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002829 to five dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.08253.\nAnswer: -0.16506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 306 by 4.\nAnswer: 153\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + 6*a**2 + 6*a + 10. What is u(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 4*m + 3. Let k(s) = -s**2 + 5*s + 4. Suppose -x - 4*x + 8 = -2*i, 0 = x - 5*i - 20. Suppose -2*c - 2*c + 20 = x. Calculate c*d(z) - 4*k(z).\nAnswer: -z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 400\/2 - 16*(-90)\/(-288)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 3:50 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + sqrt(405) + 3 - sqrt(405)) + -4 - (-4 + sqrt(405) + 3 + (sqrt(405) + 4)*4))**2.\nAnswer: 1980*sqrt(5) + 10609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1681821 kilometers to millimeters.\nAnswer: 168182.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -107974 + -25?\nAnswer: -107999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 11*q**2 - 5*q + 16. Let z(p) = 2*p**2 + p - 3. Let d be 1*(2*9)\/(-1). Let r = -7 - d. What is r*z(b) + 2*x(b)?\nAnswer: 2*b**3 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 13 + 5 + -17\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 14*j + 8*j - 3 - j**3 in the form q*j**3 + u*j**2 + n*j + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*c + 2*c**4 - 2 + 7*c - c**2 - 3 wrt c?\nAnswer: 24*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2516 by 37.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 y when three letters picked without replacement from {h: 5, c: 1, y: 1, u: 5, x: 2, z: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h\/h**15*(h\/(h\/(h**(-8\/9)\/h))*h)\/h)**19*((h*h*(h**(5\/8)*h)\/h)\/(((h\/h**15)\/h)\/h))**31 assuming h is positive.\nAnswer: h**(23939\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -236, -240, -244, -248, -252?\n\"Answer: -4*x - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9694, -9631, -9578, -9541, -9526?\nAnswer: -9539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3706956 by 1332.\nAnswer: -2783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2465812 and 47096.\nAnswer: 3364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 6)*(24*v**2 - 57*v**2 - 26*v**2 + (4*v + v - 4*v)*(-11*v - 80 + 80)) to s*v + l + d*v**2 and give d.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*q - 14. Suppose 3*d - 255 = 3*p, -p = 3*d - q*p - 259. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242880 = -1748*z + 5543*z for z.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 8*u + 6. Give p(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 89 + 121 = 0. Let q be (-10255)\/w - (-5)\/30. Calculate the highest common factor of 38 and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1700))**2 + sqrt(17) + (-3 + -2*sqrt(17))**2.\nAnswer: 13*sqrt(17) + 1777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0. Let h = 6 + -4. Suppose 2*p - 3*t = 2*t - 5, 4*p - 5*t = 5. Which is the nearest to f? (a) p (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1017 (b) -8 (c) 2\/15 (d) 0 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from ynyyyyyyyynnynynyn.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 35*s = 731 - 251 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5665.81 + -6670.532. Let o = -1009 - b. Let p = 4.2 + o. Round p to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3\/4 + 11*d**2\/4 - 21*d\/2 = 0?\nAnswer: -14, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9949358869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2461, -2720, -3069, -3508, -4037, -4656, -5365?\n\"Answer: -45*q**2 - 124*q - 2292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802607571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/4)\/3 - (-38)\/(-19).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 13100.\nAnswer: -1\/2620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/111 and -107\/1133458?\nAnswer: 3400374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2) + (-204)\/(-8). Suppose d = 5*d - s. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 241 and 209.\nAnswer: 50369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -1, -1\/8951221.\nAnswer: -5\/4, -1, -1\/8951221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3056, -3058, -3060?\nAnswer: -3062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.111.\nAnswer: -0.0333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-2)*(-125)\/(6250\/(-320))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s - 20. Let u(w) = -w + 3 - 2*w + s*w + w**2. Calculate the smallest common multiple of u(0) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1305766.\nAnswer: 2, 7, 11, 61, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 883 + -815. Is v not equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -4*q**5\/5 - 5*q**4\/3 + 46*q**3\/3 + 12*q**2 - 98*q. Suppose k(u) = 0. What is u?\nAnswer: -3, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by -5955\nAnswer: -112\/5955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 382\/5 - 77. Let w = -0.32 + 2.32. Which is the closest to w? (a) 4 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.44 - -17.44. Put 0.206, n, 3, 1 in increasing order.\nAnswer: 0.206, 1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80872 or 242612\/3?\nAnswer: 242612\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5997\/5 - 1212. Let q = 66\/5 + z. Which is the closest to -1? (a) 5 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 21 = -12. Suppose -6*w = -1665 - n. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(114)*4)\/sqrt(6).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1502 divide 348220607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, 0, 3, 1.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1446*s - 255. What are the prime factors of d(-11)?\nAnswer: 3, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 374 + 349 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13 + -0.32. Let h = -0.7 - n. What is h rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25056 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 91611 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -117, 21, 189, 381, 591?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 10, -3, 1 in increasing order.\nAnswer: -3, -1, 1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -236431163 and -0.3.\nAnswer: -236431163.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 0.0302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 5*u - 40, -5*u = w - 4*u - 214 + 222 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -14*y + 4. Let q(d) = -6*d + 0 + 1 + d. Let k(m) = 10*m + 18*m + 13 - 27*m. Let g be k(-5). What is g*q(v) - 3*j(v)?\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 - 373113*o**2\/5 - 34787464971*o\/5 + 591926175617.\nAnswer: -(o - 85)*(o + 186599)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-3) - (-6)\/(-18). Suppose j*c = -3*n + 2*c + 10, 2*c = -n + 2. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b. Let q be b\/((-1 + 2)*-1). Suppose 0 = -q*j - 4*j + 12. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9*s**2 + 3*s + 5. Let g be z(-2). Suppose g*n = 18 + 17. Let i be (-1*(-4)\/(-3))\/10. Which is the second smallest value? (a) -2 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 19*z + 13. Let k be m(-18). Is k >= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or -0.12447?\nAnswer: -0.12447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 5*n - 25, 3*u = n + 68. Solve 12*c + 27 = -u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and 225?\nAnswer: 24.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 15*m**2 - m - 11. What is f(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + ((sqrt(88) + sqrt(88) + (sqrt(88) - (-1*sqrt(88) + sqrt(88))))\/sqrt(11)*3)\/(sqrt(144) + (1*(sqrt(144)*1 + sqrt(144)) - sqrt(144))))*2.\nAnswer: 3*sqrt(2)\/2 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -11523708729.3.\nAnswer: -11523708734.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 2. Let f be c(0). Suppose 0 = -f*g + 4 - 12. Let u(b) be the first derivative of -b**4\/4 - b**3 + 3*b**2\/2 - 2*b - 1. What is u(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612538 greater than 612538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (3 + 1 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10383787 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 13*n - 17. Give w(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -9. Suppose 2*j - 2 = 5*g, -5*g + 2 = -r*g + 2*j. Let y be 3*((-2)\/(-3) + -1). What is the closest to y in 5, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 817, 864, 957, 1096?\n\"Answer: 23*o**2 - 22*o + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 0*l + 5\/2*l**2 - 1. Let y(o) = -5*o. What is y(b(j))?\nAnswer: -25*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/134820 and -125\/1357188?\nAnswer: 20357820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2056638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3 take away 5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**3 + 0*x**3 + 3*x**3 + 6*x**2 to the form g*x + c*x**2 + a + p*x**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 359778 and 136518.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 times -17539.6?\nAnswer: 1929.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 50135623?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*z + 66 = 0, -4*z = -2*s + z + 66. Suppose 63 = -4*c + 4*q - s, c + 4*q = -34. Let h = -11 - c. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9159*k - 9159*k + 26*k**2 + 18318*k.\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4711729898?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 2*p + 118. Let z(x) = -x**3 - 5*x**2 - 4*x - 17. Let h be z(p). Put h, -4, 0, -3 in descending order.\nAnswer: h, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(2*c**4 + 0*c**4 - 3*c**4) - c**4 - c**4 - c**4 to the form s*c**2 + b + q*c + u*c**3 + d*c**4 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**3\/2 - 4305*n**2\/2 - 116410*n + 118560 = 0 for n.\nAnswer: -52, 1, 912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5238264?\nAnswer: 2, 3, 101, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 4)*(-195 - q + 195)*(-54*q + 5*q**2 + 54*q) + q**3 + 4*q**3 - 3*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.26 * -0.1917.\nAnswer: -0.049842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8 not equal to 21810?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67180306.\nAnswer: 2, 1427, 23539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (7 - (-10 - 2 - 2 - 2))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 946 - 658. Suppose -1140 - g = -3*l. Is l a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 10*v + 28. Let r be c(12). Let i(d) = -d**3 + 3*d**2 - d + 2. Determine i(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**2 + 2*u**2 + u**2 + (0 + 2 - 5)*(2*u - 2*u + 19*u)*(-5*u + u + 0*u) in the form t*u + s*u**2 + a and give s.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*s = 0. Suppose -3*i + c + 3*c + 26 = s, 0 = -3*i - 3*c + 12. Let p(g) = 3*g**2 - 3*g - 2. Does 22 divide p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13342 = 576*a + 700 + 40102 for a.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 177156?\nAnswer: 177156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 - g**5 + g**5 - g**5 - 4*g**5 + 4*g**5 + (2*g**3 - 3*g**2 + 3*g**2)*(-g**2 - 9*g + 9*g).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1130 is divided by 292.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -434, -617, -1118, -2099, -3722, -6149, -9542?\nAnswer: -14063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, -16, -74, -186, -370?\n\"Answer: -3*g**3 - g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3564.244 rounded to the nearest ten?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(8\/32)\/(-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/36 (b) 5 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 15 = 2*a. Let m be (a\/15)\/(2\/6). Is -2 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 14*u + 10*u = 8, -4 = -4*b + 2*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 equal to -127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -27776.536 to the nearest ten.\nAnswer: -27780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 2:02 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 1752390?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.3 at most 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -186*n - 930. Let k be z(-6). Solve -5*w + k = -36*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4078.396934 - -0.003066. Round v to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3278, -4156, -5628, -7700, -10378, -13668, -17576, -22108?\nAnswer: -27270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 5:24 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -811 - 428*p**2 + 21*p - 21*p + 811 in the form v*p**2 + k + o*p and give v.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41155, -40518, -39435, -37906?\nAnswer: -35931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/92 and -17\/17838.\nAnswer: 820548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1526 - -1526. Let f(b) be the second derivative of z*b**2 - 5\/48*b**4 - 1\/120*b**6 + 1\/12*b**3 + 0 + 1\/20*b**5 - 11*b. Factor f(u).\nAnswer: -u*(u - 2)*(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - 0.2. Let x = r + 0.9. What is the third smallest value in 3, 1\/5, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s. Let r(y) = -4*y**2 - 11*y. Let q(h) = -2*h**2 - 6*h. Let p(v) = -11*q(v) + 6*r(v). Give p(j(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -57, -230, -533, -978, -1577, -2342?\n\"Answer: -2*j**3 - 53*j**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3794*l + 283*l**2 + 2 + 7592*l - 3798*l as d*l + r + q*l**2 and give q.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 573 by -1.\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-32))\/5*47292\/(-19705)\nAnswer: -9\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-18) - (152\/36 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 8*a**2 - 8*a - 6. Let j be q(9). Suppose -5*k + k + 2*u - 28 = 0, 21 = -j*k + u. Let o(m) = -2*m - 9. What is the units digit of o(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -755 (b) -5 (c) 13 (d) -11 (e) -4 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 220\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**2 - 1205*h + 1205. Determine p(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 12 = -10*d. What is the remainder when 23 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 0) + 10\/((-30)\/(-6)). Solve 0 = -3*d + 3*x + 21, -2*d + 4*d = -a*x - 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -16*a**2 + 41*a. Let t(l) = 4*l**2. What is k(t(h))?\nAnswer: -256*h**4 + 164*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*p**5 - 37*p.\nAnswer: 2220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 20, 0 = -5*w + 510*q - 505*q - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 not equal to -5709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 + -56.9. What is the closest to g in -4, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*v + 113839 = 37542, 6*v = 12. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3363 is divided by 116?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + w + 4. Let z be h(0). Let l be z\/12 + (-16)\/(-6). Suppose -l = -4*s - 7. Which is greater: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/8)*r**(-2\/11)\/r)\/((r*r\/r**(2\/3)*r*r)\/(r\/(r\/(r\/r**(-2))))) assuming r is positive.\nAnswer: r**(-103\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 7:00 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 6 = -z. Calculate the remainder when z is divided by -15*(-3 + (-24)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/(-12))\/27 - (29\/2 + -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**4 + 2*f**4 - 2*f**4 - f**4 - 4*f**4 + 3*f**4 + (2*f**4 - 2*f**4 + f**4)*(1 + 3 + 2) as l + p*f**3 + u*f + a*f**4 + z*f**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -240 + 221. Is 2 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from {f: 1, p: 1, h: 4, j: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 7*d**2 - 5*d. Let m = 17 - 22. Let z(h) = h**3 + 3*h**2 - 2*h. Calculate m*z(r) + 2*j(r).\nAnswer: -r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5804, 6306, 6788, 7250, 7692, 8114, 8516?\nAnswer: 8898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56020 + 1?\nAnswer: 56021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7026672887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 13*u + 102 = 0, -3 = 3*c - 5*u - 13 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a + 35 = t, 0 = 4*t + 3*a - 106. Suppose -2*m + 8 = f, m - t = -4*f - 0*m. What is the highest common factor of f and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 7. Let t be p(-8). Suppose 12 = 3*m + 3*q, t*m - 3*q + 20 = 4*m. Is m\/6 + 993\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 31*p**2 + 60*p + 62. Let l = -329 - -300. What is the lowest common multiple of 8 and r(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -993645 * -0.68.\nAnswer: 675678.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-7))\/m)\/((m**(-11\/5)*m*m)\/m*m)*m**(-2\/9)*m*m**1)**(1\/16) assuming m is positive.\nAnswer: m**(101\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25, 107, 259, 493, 821, 1255, 1807?\n\"Answer: 2*q**3 + 23*q**2 - q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 10*v**2 + 177*v - 174. What is p(-18)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 + 11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {m: 14, d: 4}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 5, d: 7}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -26 + (24\/(-32))\/(3\/(-20)). Does 44 divide (-35)\/b*(4 + 524)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/5 - 17*c**2\/5 + 62*c\/5 + 16.\nAnswer: (c - 10)*(c - 8)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, -38, 3.8?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llallllalllllllllll?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(40)\/(sqrt(1152) - (sqrt(1152) + 1*sqrt(1152) + sqrt(1152))) - (-3 + (sqrt(80) - (sqrt(80) + -1 - sqrt(80))))**2).\nAnswer: -83 + 383*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 11:03 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j - 71519 = -6*j - 346324. What are the prime factors of j?\nAnswer: 5, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(162) + -1) - ((sqrt(162) + 2)*5 + sqrt(162) - sqrt(162)).\nAnswer: -63*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbelbeblcbbbbee. Give prob of sequence lc.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4119)\/6865 + (-1)\/(10\/4). What is the nearest to z in -0.5, -163, -3, 5\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 280\/3 and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -z + 18, -12*n = -3*z - 9*n + 45. Differentiate 46 - z + 99*m - 130*m with respect to m.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 2*l - 3. Let m be v(-6). Let y = m + -31. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 + 56 + 1296 - 193 + 480 + 0*g**2 in the form y*g**2 + i + n*g and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2068 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 207, 1\/5 in decreasing order.\nAnswer: 207, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-192)\/18 + 4\/6. Let n = t - -15. Let o be 0 + (-1)\/(-1) + 0. Put -5, o, n in decreasing order.\nAnswer: n, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-1) - 1 - 2. Suppose -4 = 5*b + 11. Let j = b + 5. Put h, j, -5 in ascending order.\nAnswer: -5, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 2. Suppose -3*v + 8*v = -3*a + 50, j*a + 2*v = 77. Let r = -13 + a. Put -3, 0.5, r, -21 in decreasing order.\nAnswer: r, 0.5, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = -3*c, c = -4*d + 10. Suppose d*a = -3*v + 5*a + 27, 0 = 5*a - 10. Suppose 3*f - v = -5*b, 8*f = 4*b + 3*f + 6. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82363 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**35*h**(2\/17) assuming h is positive.\nAnswer: h**(614\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 3636, 0?\nAnswer: 3636","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*m - 17 = 0, -k + 0 - 9 = -2*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(2\/4). Solve -2*n - 6 = -q, 4*q - 3*q - n - v = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -125\/3 - -41. Let h be 2\/(-8)*(18 + -26). Suppose 0 = u + 9*x - 7*x - h, u - 5*x = -12. Which is the closest to 1? (a) u (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384 divided by 8.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/901359 and -25\/39.\nAnswer: 11717667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2663 - -2662. Which is greater: s or 8\/1069?\nAnswer: 8\/1069","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 11 - -5) + 15 + (-41 - -9 - 0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47001817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392793 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 4, -4, 0.057?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 1. Let s(z) = -47*z - 846. Let r be s(-18). Determine k(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/14 or 5482?\nAnswer: 5482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89.64 + -0.36. Let v = 90.0000087 + y. Round v to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 71029530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/8918?\nAnswer: -5\/8918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13721, 13663, 13605, 13547, 13489, 13431?\n\"Answer: -58*i + 13779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2)\/l*l)\/((l*l\/l**(-4\/3)*l)\/l*l)*(l**(-1\/9)\/l)\/((l\/l**2)\/l) assuming l is positive.\nAnswer: l**(-71\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4142 and 2242.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/5))**(-6\/31)\/(s\/(s*s**(-3)))**(8\/3) assuming s is positive.\nAnswer: s**(-1264\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2 + 36*w - 80 = 0 for w.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -563 - -562.8692. Round x to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 4*h**2 - 7*h - 9. Let l be x(-6). Suppose 5*i + 2*p = 200, 2*i + 4*p = -180 + 260. Let z = l + i. Sort -0.5, 2, z, -5 in descending order.\nAnswer: 2, z, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzfn when four letters picked without replacement from {h: 1, n: 2, k: 1, f: 1, z: 1, g: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(2*m - 1 + 1) + 0*m + 2*m - m + (0 - 1 + 3)*(m + 2 - 2) - m + 0*m + 3*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 713 - -666. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -34*x**2 - 1110*x - 5427. What is a(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: 0.26 times 230\nAnswer: 59.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 + 53 - -4) + -46.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f + 0*f + 2*f)*(0*f**2 + f**2 + f**2) - 5*f**3 + 179731*f**2 - 179731*f**2 + 2796 to v*f**2 + p*f + x + y*f**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 1 + ((-6)\/(-2) - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/w**0)\/(w**(-2\/11)\/w**(-6\/7))*((w\/((w**(-7)\/w)\/w))\/w)\/(w\/(w\/(w**6\/w))*w*w*w)*w*w**1\/w*w*w\/(w\/((w*w**(4\/5))\/w)*w)*w assuming w is positive.\nAnswer: w**(3513\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 17*b - 9. Let f be t(7). What is the highest common divisor of f and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + (8 - 4))*5. Suppose -z - l*x - 4 = 0, x - 14 = -2*z + 2*x. Suppose v + 3 - 51 = 0. Calculate the greatest common factor of v and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1790, -1\/7, -2807 in descending order.\nAnswer: -1\/7, -1790, -2807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 13*y - 25. Suppose 0 = 3*c + 4*v - 18, -3*c + 39 = v + 12. Let i be j(c). Is 17\/3 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*2\/45 - (-18)\/(-81)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -11) + -12 + -5 + (-19 - -16) - -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24354*n*p*r**2 + 24844*n*r**2 - n*r + 29*p*r**2 - 4*r with respect to p.\nAnswer: -24354*n*r**2 + 29*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -339.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135\/(-20) + 4 - -3 - (-1609520)\/64?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -52*n + 3. Let f(o) = o**3 + 3*o**2 - 4. Let c be f(-3). Is w(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1124641420 by -4.\nAnswer: -281160355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/200*(26\/(-9))\/(-13)?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -617583 (base 9) to base 14\nAnswer: -97782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 3. Let w be l(-5). Let f be w\/(-4) - (-125)\/10. Calculate the greatest common divisor of 48 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1094618 take away -7286?\nAnswer: -1087332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-5 - -2) - 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004749 rounded to 7 decimal places?\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -122100001110011?\nAnswer: 122100001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**16*a)\/a*a)\/a*a*(a**20*a)\/a assuming a is positive.\nAnswer: a**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -323, -2826, -9683, -23072, -45171, -78158, -124211, -185508?\nAnswer: -264227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 26*h**2 - 24*h + 19. Let g be s(-27). Let k = 81 + g. Solve 3*f - 17 = 2*f - 4*j, 5*f = 2*j + k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(0*c + 0*c + c) + c - 4*c + c - 4*c - 2*c + 3*c + (-c - 5*c + 4*c)*(-4 + 2 + 1).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, j: 3, f: 5, l: 1, s: 1}. Give prob of picking 2 j and 1 l.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 186\/42 + (-4)\/(-7). Suppose -3*p + 26 = -4*u + 63, 0 = -l*p - 2*u - 27. Let j(h) = 2*h + 22. Let b be j(p). Solve t - 5*t = b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 17*y + 3. Let g(f) = -52*f - 11. Give -2*g(o) - 7*l(o).\nAnswer: -15*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w + 2. Give x(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 + 77. Let j = -6 - -8. Let f = 1.2 - 0.2. Which is the nearest to f? (a) -0.2 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 11. What is the units digit of ((-3)\/2)\/(g\/(-26))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5 = 31. Suppose 3*t - 25 = -j. Suppose 3*q = t*q. What is the biggest value in q, -2, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4961155.\nAnswer: 5, 992231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 15*h - 23. Let g be b(12). Suppose -2*n + 77 = g. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 24 + (10\/(-35))\/(4\/(-14)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 788 and 4531.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*w + 650058*w**3 + 50*w.\nAnswer: 650058*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - -22) + -15 - 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44\/3 - -755\/51. Let p = -8\/17 + a. What is the nearest to -0.1 in p, 0.2, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-1)*1 - -2. Let q(l) = a*l + 2*l - 5*l. Let p(d) be the second derivative of -d**3\/6 - 2*d. Determine p(q(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.40000482 - -17.4. What is v rounded to 7 dps?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121 or 166?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1216, 1469, 1718, 1957, 2180?\nAnswer: 2381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**6\/90 + l**5\/30 + l**4\/36 - l + 89. Let w(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7257637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 10 = 5*v, -v - 10 + 27 = -3*j. Suppose v*t + 3*s = 21, 10*t - 13*t + 34 = 2*s. Let l be (3 - 2) + 2 + 0. Solve l*i + i = -t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 - 3*j - 5. Let w(x) = -x - 1. Suppose -5*d - 5 + 35 = 0. Let m(z) = d*w(z) - 2*p(z). Differentiate m(n) with respect to n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7043, -7019, -6977, -6911, -6815, -6683, -6509, -6287?\n\"Answer: a**3 + 3*a**2 + 8*a - 7055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 49, 84, 105, 106, 81, 24, -71?\n\"Answer: -p**3 - p**2 + 45*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 8:56 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 13 + 12 - 3943*q - 44.\nAnswer: -3943*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g**5 + 208*g**4 - 424*g**3 - 848*g**2 - 228*g = 0 for g.\nAnswer: -19, -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 594356906?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-3)\/(-1)*37\/(777\/21)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**6\/30 + m**5\/20 + m**4\/12 - m**3\/6 - 3*m + 3. Let j(q) be the first derivative of n(q). Suppose j(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*u**2 + 29*u**2 - 8 + 39*u**2 as z*u**2 + v + k*u and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273 = 514*v - 605*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = -3*u + 3*k + 11, -2*u + 3*k + 1 = 0. Find the second derivative of 64*h**2 - 6*h - 677 + 674 + 24*h**u wrt h.\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (sqrt(78) + -1*1*sqrt(78)) - sqrt(78))\/((sqrt(150) - -2*sqrt(150) - sqrt(6)) + sqrt(6) - sqrt(6)) - ((-1*sqrt(26))\/sqrt(2) + 1 + -1).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10907, 48464, 112687, 203576, 321131, 465352?\nAnswer: 636239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 180, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-6)\/(-698)) + 11\/(-33). Suppose -3*v = -z - x, -4*z = v - z - 42. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201681 by -2.\nAnswer: -201681\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 7.3. Let y be ((1 - -1)*-1)\/((-58)\/(-3393)). Let v be 2\/(-3) + (-96)\/y. Sort -3, g, v in increasing order.\nAnswer: -3, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7452 divided by 2.\nAnswer: 3726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*m = 155, 4*b + m - 130 = -m. Let y = 60 - b. Solve -u - 31 = 5*v + 2*u, 4*v + 4*u = -y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.088 rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100.84 + 101.64. Let l = -3.7 + 4. Which is the second biggest value? (a) l (b) s (c) 1\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3294 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1986 + 1970. What is the nearest to c in -0.2, 5, 2\/17, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10343)\/((-327)\/(-1308) + (130\/488)\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**4\/12 + 2*d**3\/3 - 2*d**2 - 5*d. Let n be o(5). Let v(i) = 21*i**2 + 43985 - 22*i**2 - 10*i - 43993. Give v(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than 5972535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4846562*h**3 + 80*h**2 - 4*h + 2109 wrt h.\nAnswer: 29079372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18833964791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11 - (-28 - -9))*3\/4. Suppose 2*m - h*m - 8 = 0. Let f = -1.4 + 0.4. What is the nearest to m in -5, 2\/13, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*d**4*x**2 - 12*d**4*x + 2*d**3 + 78*d**2*x**2 - 2*d**2 + 2*d*x**2 - 3*x**2 wrt d.\nAnswer: 3672*d*x**2 - 288*d*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - z**2 - 4*z - 23. Let d be m(-3). Suppose 4 = -d*x + 9*x. Suppose x = -2*n, -89 - 62 = -2*a + n. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(42\/32) + 114\/(-399). Factor i*y**2 + 3*y**2 + 2*y**3 + 264*y - 16 - 260*y + 5*y**2.\nAnswer: 2*(y - 1)*(y + 2)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - u - u)*(4 - 2 - 4) + (63*u + 357*u - 50*u)*(0 + 0 - 1) + 3*u - 1 + 1 to i*u + f and give i.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 438208 to the power of 1\/2, to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 117, 76, -1, -126, -311, -568, -909?\nAnswer: -1346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 58 = -62. Let z = x + -27. Suppose z*m - 2*u - 393 = -2*m, -2*m = -3*u - 155. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -499 + 503. Solve m = -0*m - n + 3, 5*m = r*n - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113.67 to zero dps.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 b when three letters picked without replacement from zbbbzbbzbzb.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/44 + 3\/((-891)\/39). Which is the nearest to -18? (a) q (b) -0.2 (c) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.30875 rounded to zero dps?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a meter in millimeters?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 5*w + 2. Let h be v(-3). Suppose 4489 = 2*f + 3*s, -2*f - h*s = -7*f + 11260. Suppose n = -4*j + f, 12 = -6*n + 2*n. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-10)*20\/6. Let s(d) = -y - 5 + 3 + 5. Let r(m) = -2*m**2 + 6. Suppose 0*p - p = -1. Determine p*r(k) + 6*s(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -7, -9, -3\/2, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhvhnhhmthkvvkvvk. Give prob of picking 1 n, 1 t, and 1 v.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*(10\/25 + 0). Let m(d) = d. Let i be m(r). Let j(n) = 6*n + 8. Let v(w) = -2*w - 3. What is i*j(p) + 11*v(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1053 - 454. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -385 - -417. Suppose -3*r + 80 = j - 15, 0 = -3*j - 3. What is the least common multiple of s and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 198, 296?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1536 = -321*o - 2316 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 83, 164, 245, 326?\n\"Answer: 81*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 850*t**3 - 372*t**3 - 78*t**3 + 4*t**3 + 0*t**3 - 3*t**3 + (1 + t - 1)*(-3 + 3 - t**2) + 3*t**3 + 2*t**3 - t**3.\nAnswer: 404*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 1. Let z(v) = v**3 + 10*v**2 + 7*v - 13. Let w be z(-9). Suppose 0 = -5*o + 2*a + 13, 2 = 5*o - 6*o + w*a. Calculate t(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, r: 1, g: 1, j: 2, p: 6}. Give prob of sequence ujju.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3 - 33 = 0. Let m be v + -1 + (1 - 3). Suppose 6 = 4*q - m*q. Let t(g) = 4*g + 1. Calculate t(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 207468142?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222 = -119*p + 45*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -8*r**2 + 632*r - 9593. Give j(16).\nAnswer: -1529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.8 + -16.2. What is the nearest to 0.2 in -5, d, -3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by -1607?\nAnswer: -33\/1607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -91 (b) 0.2 (c) 5145 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 105448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 w when three letters picked without replacement from ywjjwwwywwww.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -530\/7?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 3*d**2 - 2*d - 3. Let f be p(-4). Let a(h) = h**2 + 10*h - 6. Let w be a(f). Suppose w*u + 3*u - 520 = 0. What are the prime factors of u?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545858009?\nAnswer: 545858009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 0 - (-51 - (5 + -14)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v + 2. Let u be c(1). Suppose -157 + 757 = u*w. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 1 - 67*p + 2*p - 11.\nAnswer: -65*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 84*a**2 + 2. Let g(y) = 57496*y. Calculate g(l(h)).\nAnswer: 4829664*h**2 + 114992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3376525 (base 10) in base 3?\nAnswer: -20100112201111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 250?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -420531, -423923, -427315, -430707?\nAnswer: -434099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 131208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 1 - 1. Suppose -a - 2*q = -k, 0*a + 3 = a + q. Let v(f) = -f**2 + 2*f**2 + 4 - 2*f - 2 - 2*f. Determine v(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179044758.\nAnswer: 2, 17, 3677, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x + 5. Suppose 24*q + 1005 = 91*q. Suppose -2*m + 7 = -q. Let f(n) = -n + 2*n + 9 + 2*n. Calculate m*z(b) - 6*f(b).\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10 = 5*c, -2*b + c = 2*b - 18. Let v(n) = -n**2 - 6*n - 2. What is the smallest common multiple of b and v(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1227*o + 3915 = -1362*o for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*r**4 + 17010520*r**3 - 6028281635456*r**2 - 4018861983872*r.\nAnswer: -4*r*(r - 708772)**2*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -36893936 to the nearest ten thousand.\nAnswer: -36890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*u + 10*u - 2 + 4*u**2 + 0*u**2 + 0*u**2 + u**2 + (0*u - 2*u + u)*(-6*u + 3*u + 4*u) + 2*u**2 - 6*u**2 + 3*u**2.\nAnswer: 3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 + 86*f - 82. Calculate w(-21).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 943*b**2. Let t(y) = -135*y**2. Determine p(t(k)).\nAnswer: 17186175*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000072083132 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 1. Let b = 27 + -20. Let u(h) = -h**3 - h**2 + h + 1. Let o be u(-1). Suppose -3*g - b = 3*l + 2, -5*g = o. Calculate v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16674424 - 31574424. Round j to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -380\/9. Let f = -0.0133 - -0.2633. Let s = f - 0.65. What is the closest to u in s, 2\/11, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1. Let t(f) = -7. Let g(b) = 6*h(b) + t(b). Let a(l) = -l**2 - 5. Let w(m) = -a(m) + 5*g(m). Let s(v) = 86*v**2. Give s(w(o)).\nAnswer: 86*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 2)*(-3*m + m - m)*(-1 - 17 + 5)*(-3 - 4 + 5) as d + t*m and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k\/(k\/(k*k*k**(-2)*k))*k**(-10)\/((k*k\/(k**(-13)*k)*k)\/k))**(-32) assuming k is positive.\nAnswer: k**704","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 277, 559, 843, 1129, 1417?\n\"Answer: c**2 + 279*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 4. Suppose 4*j - 4 = 0, -2*j = -2*g + 3 + 5. What is the smallest value in x, g, 4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -212*h + 29. Is m(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -2202?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (4 - 4)) + 6\/4. Suppose -6 = 5*t - 2*s + 4, -5*s = 4*t - 25. Factor d*i**2 - 3\/2*i**3 + t + 3*i.\nAnswer: -3*i*(i - 2)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2\/(o*o\/(o*o**3)))**(-8\/7))**(3\/8) assuming o is positive.\nAnswer: o**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -301053536?\nAnswer: -301053531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 838 - 72?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 * 0.0009.\nAnswer: 0.0333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0049779 to 4 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 162*j + 1463. Let s be t(-9). Suppose -2*i = -3*i. Let p be (1 - 0) + (i - -16). Solve s*a + 2 - p = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -644, -10, -5, 0 in decreasing order.\nAnswer: 0, -5, -10, -644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/91 - 7 - -5 - -2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((3*sqrt(245)*4)\/sqrt(5))\/(sqrt(49)\/sqrt(7)*-5*5))**2.\nAnswer: -4032\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149667 - 299333\/2. Let s = 183 + -1649\/9. Which is the closest to -0.1? (a) -4 (b) n (c) 0.2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/37, -11, 0.1, 1 in decreasing order.\nAnswer: 1, 0.1, 2\/37, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 1614 = -21786. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - (-40 + 15 - -8)) + 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:20 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10*((-5166)\/1107)\/(196\/(-60))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 43563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1213601?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.5 and 15?\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u + 20 = -17*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -180*c - 629 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 312811203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjujjnnuj. What is prob of sequence nnj?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8164.121 micrograms?\nAnswer: 0.000008164121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 + (-7)\/3. Let j(q) = q**3 + q**2 - 8*q - 4. Let m be j(a). List the prime factors of (-1)\/m + -346*1\/(-4).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19788174 divided by -18.\nAnswer: 1099343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 140282355 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19092023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3007756 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (2 + -2 + -4). Suppose g*p + 3*m - 24 = p, 0 = 3*p + m - 16. What is the tens digit of 19 + -2 - (p + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82903979?\nAnswer: 103, 804893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015837059 to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 135, 135, 137, 141?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Suppose -n - w = -57, 0 = -n - 5*w + 7*w + 51. Let j = n - 55. Determine l(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g - 47*g**2 + 51*g**2 + 8*g)*(2 + 3 - 4)*(-5 + 5 - 3*g) to the form c*g + k + j*g**2 + u*g**3 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 - 246 - 6*y**2 - 252 + 497 + 3*y**3 - 4*y + 2*y**4 + 4*y - 5*y**4 + 3*y**4 + y**4 + (-5*y**2 + y**2 + 2*y**2)*(3 + 2*y**2 - 3).\nAnswer: -y**4 + 3*y**3 - 6*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 25*v**2 + v - 1. Suppose 2 = 3*h - i, 0 = 4*h - 3*i + 2*i - 1. Let n be (-45)\/(-54) + h\/(-6). What is the tens digit of y(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*5\/190)\/((-3)\/(-2)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-27) - (1*-1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 = m. Let i be (-26)\/(-6) - 9\/m. What is the third biggest value in -2\/9, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.4 (b) 4 (c) -0.2 (d) 93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 3*k**2 + k + 2. Let p be z(3). Let v(d) = 2*d - 5. Suppose -4 = -0*h - h. Let q be v(h). Which is the closest to 1? (a) p (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/5275062 and -29\/3246192.\nAnswer: 42200496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46.2 + 46.7. What is the third biggest value in -2\/55, -5, q, 1?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*a**3 + 415*a**3 - 62*a**3 - 62 - 80*a**3 + 62.\nAnswer: 554*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3781 or -3809?\nAnswer: -3809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 151567 * -0.1.\nAnswer: -15156.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 197 + -23573?\nAnswer: -23387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -926 divided by -1696?\nAnswer: 463\/848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*35\/(-63)*36\/(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -19*z**4\/12 - 5*z**3\/3 - 3*z**2. Is l(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r. Let o(p) = p + 2. Let z(s) = -4*s - 7. Let b(h) = -7*o(h) - 2*z(h). Calculate b(d(f)).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-66))\/(1\/2). Let q = -242.71 - 11.29. Let p = q + 253.6. Sort p, 0.5, v, -5.\nAnswer: -5, p, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.6 + 6. Let x = -17.2 + 17. Let a be (1\/(-20))\/((-2)\/15). What is the second smallest value in x, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 + -1)*((-272)\/(-40) + -8). What is the greatest common factor of d and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-13 - -2 - (78 - 86))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/9*18*(-11)\/770.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512, 511, 510?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 12*h**2 + 13*h + 6. What is n(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = -w - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -13. Calculate the highest common divisor of t and 200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2083807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 760 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m = b + 12, 3*b + m - 12 = 0. Let g(p) = -3*p + 4. Let l be g(b). Let n(o) = o**3 + 6*o**2 + 3*o - 6. Calculate n(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9083 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 - 75*i - 344. Let w(s) = s**2 - 38*s - 173. Let p(z) = -2*o(z) + 5*w(z). Is p(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1449586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/7 and (114\/9)\/((-25)\/15).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, -2, -3, 0, 7?\n\"Answer: 2*v**2 - 11*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*d - 45. Calculate the highest common factor of 75 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27464866 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 17 = -3*x, 33*x = 34*x + 5*t - 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -115*g**2 - g + 3. Calculate x(1).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106*w**5 + 481*w**2 wrt w?\nAnswer: -6360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8560*b**4 + 108*b**3 + 2*b**2 - 5548087*b wrt b.\nAnswer: -102720*b**2 + 648*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/56628360 and 11\/9595?\nAnswer: 5719464360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 36750*j + 8803141. What is l(-238)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1460 - -1458. Let r = -0.35 + -0.05. Which is the closest to 0.2? (a) r (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/7)*k)\/(k*k**(3\/4)) assuming k is positive.\nAnswer: k**(3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2146 + 2539. Solve -388*c + f*c = 30 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 2*p**3 - 27*p**2 - 9 + 20*p**2 + 3*p. Let l be h(-8). What is the derivative of -5*j - 3*j - 16 - l*j - 13 wrt j?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + -10. Let m = 0 - x. Calculate the highest common factor of m and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/4 and 111\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5274532m in kilometers?\nAnswer: 0.0005274532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 3, 1, -3\/25?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from iijffbkiiifkki?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 + 0.3. Let w = v - 0.2499956. Round w to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5.7, 14.8, 4\/3, -3\/5, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/3 (b) 0.5 (c) -43 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -1581851?\nAnswer: -10\/1581851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2303347, 2303348, 2303347, 2303344, 2303339, 2303332?\nAnswer: 2303323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u)**(2\/77) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2. Let r(f) be the second derivative of -f**6\/72 - f**3\/6 + f. Let p(u) be the second derivative of r(u). What is a(p(c))?\nAnswer: 25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*m = 1, 0 = -h + 3*m + 25. Calculate the lowest common multiple of 2 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(480))\/(sqrt(12)\/sqrt(2)*3))**2.\nAnswer: 640\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 11*h - 8. Let a be p(4). Calculate the greatest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27767, 27765, 27763?\n\"Answer: -2*q + 27769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9350, 23780, 38210, 52640, 67070, 81500?\n\"Answer: 14430*h - 5080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 6074?\nAnswer: 54666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*j + 2. Let a(o) = -8*o**3 + 4*o**2 - 4*o - 8. Let w be a(-1). Let p be (-11 - -30) + (-1 - w). Solve -j = 3*n + p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10939 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**3\/2 - 5*c**2\/2 - 4*c - 2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -10 + 10 + 2*b**2. Let c(r) = 6*r**2. Determine c(h(p)).\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 63331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7*u**4 - 7 + (1 - 1 - 2*u**3)*(2*u + 0 + 0) + u**3 - u**3 + 3*u**4.\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 11*g**2 - 8 - 5*g + 2*g**2 - 12*g**2. Let x be v(5). Which is greater: -7 or x?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7675 is divided by 3823?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1304709*t + 1304709*t + 18122*t**2 + 29138*t**2 + (2*t + 0*t + 0*t)*(-3 + 6 - 2*t - 2) in the form h + y*t**2 + v*t and give y.\nAnswer: 47256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37718 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iooi when four letters picked without replacement from {i: 2, k: 3, o: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(2\/(16\/8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 15*g + 2. Let l be x(-15). Let j(u) = -2 + 8*u - 9*u + l*u. Does 5 divide j(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4*sqrt(130)*2)\/(sqrt(30)\/sqrt(12)) + -4)**2.\nAnswer: -640*sqrt(13) + 83216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, y: 1, c: 1, p: 1, h: 2}. What is prob of picking 2 z, 1 h, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -1307\nAnswer: -14\/1307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-7)*35\/10. Let a(d) = -d**3 + 3*d**2 + 4*d + 5. Let l be a(u). Suppose -s + n = 0, 10*n = 2*s + l*n + 15. Put 1, -5, s in descending order.\nAnswer: s, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*l - 23 = 0, 0 = -h + l - 3*l + 13. Let i(m) = 5*m + 2. Let j be i(-1). Let p = h + j. Solve -4*y - 4*x = 20, 4*y + 5 = y + p*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 - 6*n - 70*n**2 + 70*n**2 + (-n + 0*n - n)*(2*n**3 + 2*n**3 - 5*n**3) + 1 - 1 - n**4 - 6*n**3 - 5*n**4 + 6*n**3.\nAnswer: -6*n**4 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 15*x**2 - 10*x - 168. Let w be a(-6). Let b(u) be the first derivative of w*u**2 - 19\/3*u**3 + 32 + 0*u. Let l(m) = -2*m**2. Give b(l(i)).\nAnswer: -76*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -33, -30, -25?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -107*i**3 - i**2 + 3*i. Let l(c) = -108*c**3 - c**2 + 2*c. What is -3*l(f) + 2*t(f)?\nAnswer: 110*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 497 and 3566969.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s + 3*s - 10607*s**2 - 4*s - 7*s.\nAnswer: -10607*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 292037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 - (-25 - -18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**7\/42 + m**6\/5 - 5*m**3\/6 + 2*m**2 + 7*m + 2. Find the second derivative of z(p) wrt p.\nAnswer: 20*p**3 + 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/a**(-1\/15)*a))**(10\/17))**25 assuming a is positive.\nAnswer: a**(-1550\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0503 - -5.0503. What is the second biggest value in -5\/8, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 - 915*z + 56898 = 0.\nAnswer: 87, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 r, and 2 c when four letters picked without replacement from {n: 1, r: 1, w: 2, x: 1, c: 2, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 15*a - 9*a - 7*a - 3*a + 2*a. Let q(t) = -2*t + 3. Calculate q(x(z)).\nAnswer: 4*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10134 or -1?\nAnswer: -10134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + ((-5)\/4 - (-11)\/44). Let f(u) = -2*u - 6*u**2 + u**a - 87000 - 8*u**2 - 7*u**2 + 18*u**2. Let l be f(0). What is l rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-2592) - (-35)\/(-135)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119733486 a multiple of 1157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3)*o)\/(o\/((o*o*o**(-4\/15)\/o*o*o)\/o)))**(-49) assuming o is positive.\nAnswer: o**(-588\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1000406, 1000416, 1000432, 1000454?\n\"Answer: 3*j**2 + j + 1000402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 109*j - 98*j - 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63380*q - 232294 wrt q.\nAnswer: 63380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 92 = -0*p. Let x = p - 18. Let i(s) = -s**3 - 3*s**2 + s - 5. Let a be i(-5). What is the highest common divisor of x and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Suppose -a + 0 = -1. Let i be 3 + (a + -3)\/2. Solve u*y = i*y + 2*r - 2, 5*y + r - 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 19*o**2. Let u(x) = 78*x + 9025. Calculate u(s(w)).\nAnswer: 1482*w**2 + 9025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 35 = -5*p, 6 = -2*c - 0. Suppose 4*q - 5*y - 23 = 22, y - 15 = -p*q. Solve 2*x = q*x - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 10)*(4*s + 6 - 6).\nAnswer: 52*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 84372713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4753, -4755, -4755, -4753, -4749, -4743, -4735?\nAnswer: -4725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqgkqgkkqkgggkqgqg. Give prob of sequence kkk.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2754 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 2*k**2 - 3*k. Let r(g) be the first derivative of g**4\/2 + 4*g**3\/3 - 5*g**2\/2 + 4. What is 5*j(h) - 3*r(h)?\nAnswer: -h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 171*p**2 + 11342*p - 1027. Give n(51).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91426876 and 31728?\nAnswer: 1097122512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2998026*v**3 - 7 - 999332*v**3 - 999334*v**3 + 7 - 999338*v**3.\nAnswer: 22*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2201108 + -1491645. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -429536.8*0.18\nAnswer: -77316.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 74, 40, -40, -166, -338?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.64 - 6.04. What is the closest to q in 0.6, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 + 54 + 14)*(-2)\/5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123374 is divided by 39?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, -13, -41, -81, -133, -197, -273?\n\"Answer: -6*q**2 + 2*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2*sqrt(132) + sqrt(132)))\/(5*sqrt(12)*-1) - (-3*(sqrt(121) - ((2*sqrt(121) - sqrt(121)) + sqrt(121))))\/(sqrt(1100)*1))**2.\nAnswer: 1859\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 6\/13*t - 6\/13*t**2 - 4\/13*t**3 + 4\/13 = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 11810964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*c + 15 - 140, 127 = 4*c + 5*d. Suppose n + c = 124. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 377\/6, -3, -2\/21 in increasing order.\nAnswer: -3, -2\/21, 377\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3 + sqrt(108) + sqrt(108) + -4 - (5*sqrt(108) - (sqrt(3) + sqrt(27) + 2))))**2.\nAnswer: 280*sqrt(3) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 + -14346942042\nAnswer: -14346942039.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 205 + -202. Suppose 346500 = -n*q - 262500. Round q to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 5. Let f(r) = 2*r + 6. Suppose 36 = 24*v - 18*v. Suppose 3*l - 21 = -4*z, z + l = v - 0. Determine z*f(d) + 4*c(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -355051, -709204, -1063357, -1417510, -1771663?\n\"Answer: -354153*x - 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.249 + 0.773. Let q = g + -0.024. Which is the nearest to 1? (a) 2 (b) q (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/18 and -65\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5808 and 44572044?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2\/((p*p**(-5))\/p))**(2\/15))**(-6) assuming p is positive.\nAnswer: p**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 10*g + 9. Let k(v) = -7*v + 3. Let c be k(2). Let b be f(c). Let o be ((-15)\/20)\/((-1)\/(-4)). Sort b, o, 0 in ascending order.\nAnswer: o, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4043 in -2, -3, 3, -3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-3) - (2 - 8). Solve 3*d + 13 = -2*m - 9, -4*m - h*d - 32 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95575 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.02 (b) -1\/6 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.51 + -0.49. What is the closest to 1 in j, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7890, -45170, -107306, -194298, -306146?\n\"Answer: -12428*u**2 + 4*u + 4534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d**2 + 12*d**3 + 8 - 8 + 4*d + 20*d**4 - 16*d**5 - 8*d**2 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79194\/2581 or 1?\nAnswer: -79194\/2581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155315 - -36284. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -214*z - 46. Let k be u(-14). Suppose -2*c - 4*l = -k, -c + 1450 = -3*l - 0*l. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -542.54 - -148.54. Is o bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -4.5. Let t = 45.4 + 5.6. Let d = -50.8 + t. Which is the closest to d? (a) 2\/9 (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3\/5)\/m*m\/(m*m**(-3\/8)))\/(m*m**(1\/2))**31 assuming m is positive.\nAnswer: m**(-1869\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2373 and -266.\nAnswer: 631218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 14*n - 16*n. Suppose -n = -f - u, 5*u = -4*f - 8 + 32. What is the remainder when f is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6300 - 1?\nAnswer: -6301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 7*m - 7. Let b(k) = -3*k + 3. Let v be (54\/15)\/6*(4 - 9). What is v*f(h) - 7*b(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Let c(i) = -w*i - i**2 + 2*i. Let r(p) be the second derivative of -7*p**4\/12 + 23702*p. Determine c(r(t)).\nAnswer: -49*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*u. Suppose u = 5*l + o - 0*o - 30, -5*l + 30 = -5*o. Solve -t + 4*t = l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.09, -0.5, -1\/5, -281, -2488?\nAnswer: -2488","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 18*g + 65. Let l be i(-13). Solve -7*v = 5*a - 5*v - 7, a - 4*v - 19 = l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.06164 + 0.06164. What is the fifth smallest value in y, -0.5, -3\/4, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 2212323?\nAnswer: 2213000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6570*m + 59131. Determine p(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4*2*55\/(-88)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -1122?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 10*x + 179110 - 178494 for x.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4135229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -33*q**3 + 15*q**2 - 9*q. Let j(t) = 16*t**3 - 7*t**2 + 4*t. Determine 4*f(k) + 9*j(k).\nAnswer: 12*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - -9) + -2 + 1. Let o(j) = 7*j. Let q(d) be the second derivative of 0 + 2*d - 5\/2*d**3 + 0*d**2. What is w*o(t) + 6*q(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 18 = 6*a - 9*a, 16 = 2*a - 3*i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917 = -252*h + 1099 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.007, -4, -9\/20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2812 and 37333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -378*k**2 - 359*k**2 - 13*k**3 + 727*k**2 to v*k**2 + t*k + r + y*k**3 and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 11:15 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4773.9 to the nearest ten.\nAnswer: -4770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16846.\nAnswer: 2, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -433, -972, -1499, -2014?\nAnswer: -2517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13604 - -13606. Let n(q) = -16*q**2 - 3*q + 1. Determine n(w).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5130 divided by 1026.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/13))**(1\/22)\/(h**(-2\/57)*h*h**(-15\/2)) assuming h is positive.\nAnswer: h**(106421\/16302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*((0 - 6 + 4)*(r - r - r) + 2*r - 3*r + 4*r) + 143*r - 16*r - 37*r.\nAnswer: 95*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2284?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2*(-2)\/(-8)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -1\/6*z**4 - 4*z - 18 + 0*z**2 - 1\/10*z**5 + 0*z**3. Let q(o) be the first derivative of h(o). Give q(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l**2. Let b(j) = -1379*j. Calculate a(b(w)).\nAnswer: 24721333*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 35 + -7 - (0 + 2). Suppose 38*j = w*j + 3496. What are the prime factors of j?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (16 + -26 + 11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 98237?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5122349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/((sqrt(132) - -1*sqrt(132))\/sqrt(12)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7667 divided by -7667?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1270 = -5*i + 3*h - 1280, -7*h = -i + 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3260, 3258, 3332, 3482?\n\"Answer: 38*k**2 - 116*k + 3338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**3\/2 + 2*o**2 + 26*o. Determine t(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 28. Let r = -11 - k. Solve 0*l + 4 = r*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(((-180)\/20)\/(-9))*11\/4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t - 41 = 0. Let c = 98 + t. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1412300 and -11\/5075.\nAnswer: 9886100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b - 8*b**2 + 5*b - b**2 + 0 - 2*b**2 + 0 + (0*b - 2*b + 3*b)*(-4*b - b + 3*b) to f*b + d + j*b**2 and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/20 and -65\/811575174.\nAnswer: 8115751740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11943 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*m - 74 + 90, -3*a = 4*m - 45. Suppose -5 = 3*t - 32. Calculate the remainder when a is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 0*g - 1\/30*g**6 + 0*g**3 - 1\/10*g**4 - 5 + 0*g**2 - 3\/25*g**5. Determine o so that i(o) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69.36 - -65.36. Let w = 87 - 517\/6. Let f = -6 - -6.7. Which is the smallest value? (a) f (b) 1\/7 (c) w (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 909623, 909633, 909657, 909701, 909771, 909873?\n\"Answer: z**3 + z**2 + 909621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 27\/7 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*((-6)\/10 + (-174)\/(-90))*-1. Suppose 4*c + 4*l = 5*l + 69, -c + 9 = -3*l. Let i = c - 10. Calculate the highest common factor of i and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 448*p**2. Let w(g) = -8609 + g + 8609. Give w(b(q)).\nAnswer: 448*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*m**3 + 117*m**3 + 2 + m**2 + 116*m**3 - m**4 as p + x*m**3 + v*m**4 + k*m + o*m**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -183.36 + 3.36. Let x = 366 + t. Let c = 186.00000179 - x. Round c to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1200 divide 8547066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/122562845 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*((p\/((p\/((p*p**(-2\/35)*p)\/p))\/p))\/p)\/p)\/p*p)\/p*p**4*p)**(7\/8) assuming p is positive.\nAnswer: p**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12.54 * -3\nAnswer: 37.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2805*o - 879*o + 422*o + 2418*o.\nAnswer: 4766*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - j**2 + 111*j**3 - 2*j.\nAnswer: 111*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12384 or -12375?\nAnswer: -12375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -148128.123 to the nearest 1000.\nAnswer: -148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 373291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/14*(9\/(-3) - 10217). Suppose -p + s = 6*p. Round p to the nearest ten.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993891 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 5*c**2 + 14*c + 2. Let l be t(-7). Suppose 0 = -2*k - v + 3, -3*k - l*v = -6*v - 10. What is the least common multiple of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (3 - (5 - (1 + 1))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttgtgtggggtggggtttt. Give prob of picking 2 t.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -a29273?\nAnswer: -a29273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8866040*-3\nAnswer: 26598120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/4)\/((-1)\/(-2)). Let z = 0 - 48. Let j = z - -48. Solve -6 = 3*b, -c = -j*c + g*b + 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -3) + 228\/(-54). What is the fourth smallest value in 1, b, -2, 3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -265 + 44. Let t = 245 + c. Solve -6*s + 2*q + t = -2*s, -5*s - 4*q = -17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5300885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334342?\nAnswer: 2, 349, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5614\/13 + 432. Put 2, g, 8 in descending order.\nAnswer: 8, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 401 + -310. Suppose -5*o = -2*g + 1198, 2*o + q = 4*g - 2289. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*f**3 - 227936*f**2 + 1483612*f - 2411968.\nAnswer: -4*(f + 3568)*(4*f - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7054 - 7050. What is the remainder when 358 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*i = 75*i - 11 - 7. Solve 6*y - 9*y = 2*s + 22, i*s - 3*y = -3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 5:52 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2164*k**3 + 3*k**2 - 3*k + 6. Let x(f) = 1560244*f**3 - 2164*f**2 + 2164*f - 4328. Determine 4328*n(a) + 6*x(a).\nAnswer: -4328*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -58. What is the closest to 2 in x, 0.06, 1\/2, -0.7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 74 = 5*r, -4*i - r + 5*r + 200 = 0. What is the least common multiple of 34 and i?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3052230 or 3052233?\nAnswer: 3052230","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*u - 43, 3*u = -3*k - 12 + 63. What is the remainder when 43 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-8) + (-9)\/12. Let j(q) = r*q + q - 7*q - q. Let m(w) = 2*w**2. Calculate j(m(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.04 + -5. Let n = -1.2 - -0.2. Which is the second smallest value? (a) n (b) 1\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 2*j - 1. Let s(y) = 5*y**2 - y + 11. Let g(x) = -4*m(x) - s(x). Let k be g(-3). Solve -7*r + 23 = -k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*u - 23 + 160, -2*l = 3*u - 131. What is the highest common factor of 976 and l?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 3 (c) 1\/4 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7534 + -3786?\nAnswer: -acba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 divided by -228963.\nAnswer: 53\/228963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:46 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3096 - 3559.4?\nAnswer: -6655.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + -3 - sqrt(52)) + sqrt(13) - (4*sqrt(468) + sqrt(468)).\nAnswer: -29*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11423636 and 37233?\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57840505.18 - -3.\nAnswer: -57840502.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000019846 to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -69 and 22522.\nAnswer: 22453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -314*h*x + 177*h - 23*x - 14 wrt x.\nAnswer: -314*h - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z - 43. Let j be x(-8). Suppose -j*s - 14 = -34. Let r be 1\/s - 187\/(-68). Solve 20 = -2*l - r*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-7))\/((-6)\/(-28)))\/(2\/5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*v**3 - 3 - 173*v**3 + 3.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q - 23. Let h be ((-6)\/4 - -4)\/(2\/(-4)). Let n be t(h). Suppose y = 3*z - 223, -3*y + 217 = 3*z + n*y. List the prime factors of z.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*s**3 + 388*s**3 + 377*s**3 + 383*s**3 - 1538*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 15 + 55 = 0. Let g = 15 + f. Let x = 194 - 117. What is the highest common divisor of g and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3171934 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4435*i**4 - 11609*i wrt i?\nAnswer: -53220*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31519289?\nAnswer: 31519289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7273 - 6910. What is the smallest common multiple of 9 and z?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107955849?\nAnswer: 3, 919, 39157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - k + 29 = 0, -2*k - 53 = 4*z - 3*k. Let g = -6 - z. Suppose -2 = -3*w + 13. Calculate the smallest common multiple of g and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -349*p + 5264. Let h be f(15). Solve h*o + 58 = 261 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 28*d - 27 = -189. Solve -g - 23*y = -25*y - 9, -3*g = 3*y - d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -11 - 1\/16*c**4 - 7\/8*c**2 + 3\/4*c + 5\/12*c**3. Solve m(s) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (-13048)\/(-1176)) + 8\/(-210).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 28 = 2*x - 24, 0 = -5*x - 3*t + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4. Let t be (v - -1)*3\/3. Sort -2, -5, t in ascending order.\nAnswer: -5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t + 13596 = 69*t. Suppose 6*n - t = 200. List the prime factors of n.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -3*l**4\/4 + 4*l**3\/3 + 2*l**2 - 3*l + 7225. Let x(i) = -9*i**3 + 11*i**2 + 11*i - 9. Give -8*w(f) + 3*x(f).\nAnswer: -3*f**3 + f**2 + f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-20) - 42\/(-10). Suppose 0 = -5*c + j*g + 141 + 1745, 2*g = -2*c + 758. Suppose 7*o = o + c. What is the remainder when o is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 x, and 1 d when three letters picked without replacement from sdxtrtx.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*p + 499, -3*p + 2*k = -524 + 21. Calculate the greatest common divisor of p and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4995*d*t*u**2 - 260*d*t + 407*t*u**2 - t*u - 48*t - u**2 + 14 wrt d.\nAnswer: -4995*t*u**2 - 260*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h*h\/h**(3\/2))*h**15\/h*h**20*h*h\/h**(-33) assuming h is positive.\nAnswer: h**(137\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 253.265 to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -5208 (c) 1 (d) -1\/6 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578*z = 575*z. Which is smaller: z or 6\/23?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5099 + 5068. Suppose -j = -23*z + 20*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141385.566 + -141597. Let v = -212 - f. Let g = -0.178 - v. What is g rounded to two decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8082 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -150238 plus -8659009?\nAnswer: -8809247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = -288 - 108. Let z be 10\/(-55) - 4\/k. Solve 8*i - 3*i = 2*n - 10, -4*i - 2*n - 8 = z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**3*p**3*w**2 - 914*k**3*p*w**3 + 6*k**3*w**2 - k**2*p**3*w - 76*k**2*p + 3*p**3*w**3 wrt w.\nAnswer: -5484*k**3*p + 18*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -379, -525, -885, -1567, -2679, -4329, -6625?\n\"Answer: -18*j**3 + j**2 - 23*j - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2357 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.953 + 5. What is the smallest value in -3, z, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 529530 and 1444.\nAnswer: 20122140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -7.5. Let y = 0.3 - -3.7. Which is the second biggest value? (a) 5 (b) y (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 - -3) + -2 - 2) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1796 is divided by 150?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(156) + -2*sqrt(156) + sqrt(156)) + (sqrt(156) - sqrt(156)*-5)*3)\/((3*sqrt(60) - sqrt(60))\/sqrt(5) + sqrt(96)\/(-3*sqrt(8))).\nAnswer: 54*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -1, -3\/5 in decreasing order.\nAnswer: 26, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-160)\/(-4)))\/((-4)\/10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 97 - 23. Suppose 4*j - n = -j. Let a(g) = 22*g - 1. What is the units digit of a(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704816 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: Sort -26, 10, 0, -2, 2 in decreasing order.\nAnswer: 10, 2, 0, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-20) + 1)*9400\/1410?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -2683739?\nAnswer: -21469912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 + 57*a**3 + 117*a**2 + 59*a.\nAnswer: -a*(a - 59)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 2118.\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -359047 rounded to the nearest one thousand?\nAnswer: -359000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 492944443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 17 = -3498*n + 3496*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t = -2*u + 18*t - 58, -11*u - 19 = 3*t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1636*u + 1637*u = -8*j + 132, 6*j - 2*u + 88 = 11*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67338\/19 or -3544?\nAnswer: -3544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 52 = 2*m - 5*m, -m = -5*q + 36. What is the nearest to q in 1\/4, -2, 2\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13392 divided by 6.\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z\/z**(1\/3))\/z*z))**(1\/23)*z**(5\/4)*z*(z*(z\/(z\/z**1))\/z)\/z)\/(z**0*z\/(z*z**(5\/2))*z**(2\/9)\/z*z*z*z**(-7)) assuming z is positive.\nAnswer: z**(8693\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 70. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199889.7 microseconds to nanoseconds.\nAnswer: 199889700","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19213*q**2 + 40*q + 305 wrt q.\nAnswer: -38426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 14786920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 10:34 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(28\/9)*(-7)\/(-6).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31640148 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: Calculate the remainder when 7682 is divided by 76.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -498*i*s**2*v + i*s*v**2 - 4529*i*v**2 + 19*i*v - 2*i - 2*s**2*v**2 wrt v.\nAnswer: 2*i*s - 9058*i - 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -880 (base 12) to base 6\nAnswer: -5440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 12717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 294 + -321. Let u = r - -27.0000352. Round u to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a kilometer in meters?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 51\/2 (b) 3 (c) -10 (d) 0.11 (e) 2\/21 (f) -458\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55.529 - 1.371. Let q = r - -57. What is the nearest to 0.07 in 2, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11123*q - 5214 = 10886*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17545588 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 10 + 4 = 0. What is the remainder when 26 is divided by (w + 0)\/2 + 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 26, 59, 114, 197?\n\"Answer: r**3 + 2*r**2 + 4*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 + 150. Let p = 50.09 - d. Let o = 0 + p. What is the nearest to 3 in 5\/6, -3\/8, o?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-8*m + 2*m - 5*m)*(m - m - 2*m)*(4 - 2 + 0).\nAnswer: 88*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1179914 to 2 dps.\nAnswer: 2.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -619458 greater than or equal to -619447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 9. Calculate the least common multiple of t and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11200012210 - 2?\nAnswer: -11200012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-780 + 148*l**5 + 780) + ((2*l**3 + 0*l**2 + 0*l**2)*(3*l - 1 + 1) - 2*l**4 - 3*l**4 + 3*l**4)*(-l + 1 - 1).\nAnswer: 292*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -9*b. Let j(n) = n + 1. Let t(h) = -2*j(h) - y(h). Let a be t(1). Solve 3*g + 15 = -2*q - q, -a*g - 3*q = 23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 1430?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 12:47 AM?\nAnswer: 442","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/10 + (-2)\/(-5). Suppose -4*w - r*z + 28 = 0, 2*z - 7 = 2*w - 3*z. Suppose -h - w + 18 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-144)\/30)\/((-16)\/40). Suppose -16*l + v*l = 16. Let c(b) = b**2 + 3*b - 3. Calculate c(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 less than -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2618 = 74*j - 10*j - 5179 for j.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/2))**(-38))**(-45)\/(l\/(l*l\/(l**5*l*l)*l)*l*l**(3\/8)*l**(3\/8)\/l**(-2)) assuming l is positive.\nAnswer: l**(3385\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 341455553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136 - -139. Put 0, 2\/9, n, -1\/2 in decreasing order.\nAnswer: n, 2\/9, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-20) + (-94)\/65.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99396.46 - -90489. Let q = 8793 + l. Let b = q + 113. Round b to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17963 is divided by 237.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2341252850 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/15)*t)\/(t\/t**(-5))*(t\/(t\/(t*t**1)*t))**36 assuming t is positive.\nAnswer: t**(463\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1695 times 0.4?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2566 and 1038?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**18*s*s**(7\/4))**(-3\/16))**18)**(-32\/3) assuming s is positive.\nAnswer: s**747","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 96\/(-105))\/((-48)\/(-40)). Which is bigger: -21 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40911732 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 393*r**3 + 36 - 781*r**3.\nAnswer: -1174*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/((-29120)\/(-440))*4\/(-44)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -0.08 (c) 115 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - 4*-2*sqrt(156))\/sqrt(12).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/2*12\/14. Let o = r + 32. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8538 + 8538 - 2518*r.\nAnswer: -2518*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/6, -1\/39, -1\/2 in descending order.\nAnswer: -1\/39, -1\/6, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1155, -1064, -973, -882, -791?\n\"Answer: 91*m - 1246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2065, 2051, 2037, 2023, 2009, 1995?\nAnswer: 1981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(6\/7)\/n)\/(n*n*n*n**(-6\/11)*n*n*n))\/(n**(-9)*n\/n**7*n))**(-6))**(-18) assuming n is positive.\nAnswer: n**(69876\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*i - 1261*i**3 - 5*i**5 - 16*i**5 - 56*i**2 - 7*i**5 + 29*i**5 wrt i?\nAnswer: 60*i**2 - 7566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2293*f**4 + 3060413*f**2 - 3060413*f**2 + 31738*f**4 + (3*f + f - 5*f)*(-2*f**3 - f**3 + 2*f**3) to m*f + k + t*f**3 + b*f**2 + o*f**4 and give o.\nAnswer: 34032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 3:21 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3) + 22\/6. What is the highest common divisor of s and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 5*x = -2*m - 35, -3 = -m + x. Suppose -m*l + 10 = -5. Suppose -l*s + c = -5, 4*c + 0 = -3*s - 5. Calculate the remainder when 3 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 1\/3, -535\/66?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -1\/6*r**4 - 169*r**2 - 26\/3*r**3 + 0 - 37*r. Factor b(w).\nAnswer: -2*(w + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 137 = -353. Let d be 2*2\/q - (-13459)\/387. Calculate the greatest common factor of d and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1303 to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*z + 6*z - 2*z**4 - 4*z**3 + 4*z**4 - 6*z**3 + 16*z**2.\nAnswer: 2*z*(z - 2)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001343469 to 6 dps.\nAnswer: 0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 3.83?\nAnswer: 7.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13969429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4) - (12 + 0 - 11)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*l - 290*l - 280*l - 279*l + 1459*l - 315*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 24*q**2 + 157*q + 220. Determine i(-29).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1116)\/(-216) - 9\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**2 + k + 1. Let y be (153\/(-36) + 2)*(-8)\/6. Suppose 0 = -4*z + 5*z - y. Let v be (-72)\/(-12)*1\/z - 4. Determine q(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*u - 5 = -53, 5*k = -2*u + 32. Calculate the lowest common multiple of k and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 12:47 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/15)\/(4\/70). Let q be (-10)\/(-45) - (-214)\/9. Let m = v - q. What is the remainder when m is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in 2\/11, -2\/11, 4079?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2461220?\nAnswer: 2, 5, 109, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 5:13 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqsqqqs. What is prob of picking 1 q and 1 s?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/(-73920)*132)\/(5\/8).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (4 + -1 + 4). Does 20 divide (9\/d)\/((-9)\/216)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -3. Let m be 5 - ((-490)\/(-252) - -3). Does k = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-2)\/(-16)))\/((-21848)\/(-8193))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -113570*c**3*m - 2*c**3 + 78*c**2*m + 9*c**2 + 7*c - 662 wrt c.\nAnswer: -681420*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a day in minutes?\nAnswer: 13824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12604 - 8239. Is w a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 12:11 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 556.2952 hours?\nAnswer: 33377.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 373928566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*f = 16. Suppose 0 = -0*o + o - 16. Calculate the highest common divisor of f and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80161223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -440948 and 96271797.\nAnswer: 95830849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -292394710069913.\nAnswer: -292394710069914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 16. Let d be l(12). What is the lowest common multiple of 2 and (1 + 2 + -5)\/(4\/d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 8 + 1 + -12 + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.00000014 + -13. What is b rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(3\/(-18)*3). Suppose -2*x + 4*a + 2 - 14 = 0, -3*a + 15 = 0. Let v be 4 + (t\/x)\/(-5). Round v to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*o + 20 = 0, 2*o - 3*o = 3*r + 5. Suppose -2*g + 81 + 5 = r. Let x = g - 17. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 18 = 5*v. Suppose -2*a = 2*w - 0*a - 192, -480 = -5*w - v*a. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 25. Let g be f(-21). Suppose -g*j = -53 - 3. Differentiate 3 - j*x**4 - 28 + 0*x**4 wrt x.\nAnswer: -56*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 - 1)*(-2*p**2 + p**2 + 3*p**2) + 3*p**2 - 3*p**2 + 2*p**2 + p**2 + 2*p + 0*p - 3*p**2 to f*p + o + w*p**2 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -135 - -105 - (0 + -24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142 - 141. Sort 1\/3, s, 0, 2 in ascending order.\nAnswer: 0, 1\/3, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**4\/g*g**(1\/7) assuming g is positive.\nAnswer: g**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-40))\/(24\/20). Sort -5, -2\/15, -3, t in ascending order.\nAnswer: -5, -3, -2\/15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 661*v**5*x + 153*v**3 - 44*v**2*x + 4*v + 36*x + 51354 wrt v?\nAnswer: 13220*v**3*x + 918*v - 88*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 9. Suppose -4*c = -2*c - 10. Find the first derivative of -c - s**4 - 2*s**4 + t + 7 wrt s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, -0.1, -1\/2, -4466?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u**(-2\/25)*u)\/u))\/u**(-3\/5))**40 assuming u is positive.\nAnswer: u**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*z + 4*z + 3, 4*f - 4*z = 12. Suppose 4*c + c - 75 = f. Solve -21 = 4*y + 5*u, -2*y = 3*y - 5*u + c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.41277 (b) 1\/35 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -67167?\nAnswer: 67162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11\/(66\/9))\/((-3)\/(-112)). Let s be 4 + -2 + 2 + 388. Calculate the greatest common factor of d and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 5*r**2 - 4*r - 18. What is t(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(4\/5)*s)\/s)\/(s*(s\/(s\/(s\/(s\/(s\/s**(4\/3))))))\/s))\/(s\/s**(6\/13)*s**(3\/4)) assuming s is positive.\nAnswer: s**(659\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, c: 2, k: 3, f: 1, d: 3}. What is prob of picking 1 c and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 41*s**2 + 0 + 0*s + 5\/6*s**4 - 1\/48*s**5 - 40\/3*s**3. Factor o(i).\nAnswer: -5*(i - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 186 = 3*j - 7*j, 0 = -5*t - 5*j + 420. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1307 - 0.0507. What is the third biggest value in -12, j, 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times -58?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 99 + (-71)\/(18389\/(-111))*21\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2 = -t - 22, -3*t = -5*y + 20. Suppose -21*f + 294 + 231 = 0. Solve 3*g = y*j + f, 0*g - 4*g - 5*j = 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p + 8 + 15 + 1. What is the lowest common multiple of o(-8) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 340*p**5 + 572*p**4 - 480*p**3 - 496*p**2 + 64*p = 0. What is p?\nAnswer: -2, -4\/5, 0, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -5. Let w = 7150 - 7154. Put 5, w, g in decreasing order.\nAnswer: 5, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 251 or 13306\/53?\nAnswer: 13306\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 834936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/30 - 4\/(-10). Let z = 2084 - 2084. Suppose 2*x + 1 = 3. Which is the nearest to z? (a) x (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in minutes?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(128) - (sqrt(128) - (sqrt(128) + 3))) + sqrt(128) - sqrt(8)\/(sqrt(4) + sqrt(4) + 6*sqrt(4)*-4))*-4)**2.\nAnswer: -5648*sqrt(2)\/11 + 998808\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.4 - -1.4. Let j = -2 - -2.2. Let c = 0.085 + 0.015. Sort r, j, c in descending order.\nAnswer: j, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w. Let v(g) = -2. Let d be 2\/(-7) - 12\/7. Let x(b) = -3*b + 1 + 2*b + 0*b. Let h(u) = d*x(u) - v(u). Determine h(q(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r*r\/(r**(-2)*r))\/(r\/(r\/(r\/r**(2\/5)))*r*r)**(-8) assuming r is positive.\nAnswer: r**(114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -376 and -0.07.\nAnswer: 26.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (-3 - -2) + 0. Solve q = -0*q - g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y. Let p be ((-2)\/(-6))\/(1\/3). Let i be v(p). Solve 0*w + w = 3*z + 2, -2*w = i*z + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q - 3. Let x be d(-2). Let k(j) = 78*j**2 - 2*j + 1. Let g be k(x). Suppose 5*o - 28 = g. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 8. Let m = 65165\/7 + -9309. What is the second smallest value in m, -1\/3, q, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-5)\/(-1) + -1. Suppose s*p = -o, p = -3*p - 5*o. Solve p = -5*r + 3*x - 2, -3*r - 4*x = 13 - 35 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i + 24. Solve -3*m + 3*t = -9, 4*t + i = 2*t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-18)\/((d**(-6\/31)\/d)\/d*d) assuming d is positive.\nAnswer: d**(-521\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w + 6. Let k be j(-5). Let p be 4\/(-30) - (-1839)\/(-45). Let s be (12 + -1)\/((-1)\/p). What is the highest common divisor of s and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u = 753 - 649 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 6*k + 7. Suppose 3*z - k*v + 3*v = 67, 2*z = -5*v + 14. Solve 0 = 4*n + c + 4*c + 16, z = n - 4*c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75675 is divided by 2370.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*(-4)\/(-10)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 49*g**2 + 99*g - 7. Is 18 a factor of o(50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503.033 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/(-5)*50\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 1:26 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-2)\/16). Suppose -4*u + o + 4 = -39, -2*o = -f*u + 46. Let j(x) = 6*x**2 - 4*x - 3. Calculate the remainder when j(3) is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -670376 and 1?\nAnswer: -670376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 490 * 6497\nAnswer: 3183530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three sixteenths of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/4)\/(175\/(-28) - -6). Let w(g) = -r*g + 2*g - 2*g - g - 30. Calculate the remainder when w(-12) is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 0*n**3 + 6*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1635 + 1157. Let s be 1\/5 - 4\/40*v. What is the greatest common factor of 72 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18339821 - -0.0281.\nAnswer: 18339821.0281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3946*q - 201*q = -489346 for q.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 28 = 3*j - 5*l, 4*j + 3*l = 42. Let f be (3*-1)\/(15\/(-10)). Solve -5*a + f*a = -j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 16. Suppose -3*p = -l*p + 27. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 23670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-3\/8)\/a*a))**(-4\/3)*(a**(-20))**(-20) assuming a is positive.\nAnswer: a**(2389\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 280288 divided by -88?\nAnswer: -35036\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3408165\/112 - -30429. What is the common denominator of 7 + 1 + (-531)\/80 and y?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2965614?\nAnswer: 2, 3, 494269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 68 - 7 = 0. List the prime factors of v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 270, -1476, -28, 5, -2 in increasing order.\nAnswer: -1476, -28, -2, 5, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19618451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v = -24*v - 33 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1873.9 and 347.8.\nAnswer: -1526.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(2\/(-6)) - -1. Let g(q) = -9*q + 8. Let w be g(-8). Let d be (-4)\/(w\/(-6))*h. Which is the third smallest value? (a) 4 (b) -1\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 0*m - 12 - 3*m + 10 - m**3. Let u = -3 + 0. What is the tens digit of c(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496243029.\nAnswer: 3, 165414343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3)*((y\/((y*y\/((y*(y\/y**4)\/y*y)\/y*y))\/y))\/y*y)\/y)\/((y\/y**(-1\/8))\/(y**6*y)))\/(y**(-1\/2)*y*(y*y\/(y**(1\/6)\/y)*y)\/y)**(-2\/75) assuming y is positive.\nAnswer: y**(-13\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 5*t + 5117, t = 4*f - 2407 - 2728. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*r - 2*r. Suppose 0 = q + q - 144. What is the highest common divisor of q and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1972, -5, 1, 58 in decreasing order.\nAnswer: 1972, 58, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - 6*w + 5*w + 0*w)*(-6 + 2 + 0)*(2 + 0 + 2)*(2*w - w - 2*w).\nAnswer: -16*w**4 - 16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 608256507?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 11 = 2*i, 5*c + 13 - 48 = -5*i. Find the third derivative of -26*y**c + 5344*y + 9*y**2 - 5344*y wrt y.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 16*k + 23. Let u be a(-17). Let w(g) = 378*g - 65. Is w(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -0.173\nAnswer: 1.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1014*g + 16*g**2 - 15*g**2 + 8*g**4 + 33*g**4 - 5 - 2*g**3 + 0*g**4 - 1013*g to the form b + k*g**4 + f*g**3 + i*g + w*g**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437132 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -26.376797+-0.2\nAnswer: -26.576797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -509556, 0.\nAnswer: -509556, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 s when three letters picked without replacement from {s: 5, f: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 60 = -5*f, -32*f = -u - 17*u - 37*f + 112 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f + 22 + 75 + 13 + 25 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -74*a - 197. List the prime factors of t(-30).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*c**4 + 21*c**2 - c + 7141 wrt c.\nAnswer: 68*c**3 + 42*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/239 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15298, 61197, 137698, 244801, 382506, 550813?\n\"Answer: 15301*a**2 - 4*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 3. Let r be n(0). Find the third derivative of -r*a**2 - 4*a**3 + 4*a + 6*a**2 - 4*a wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 2*r**2 + 2*r**2)*(-5*r**3 - 3*r**3 + 12*r**3).\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -7. Suppose -19 = -3*z - 2*y, -2 = -z + y + 1. Let v = -1 + z. What is the remainder when t is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5712 and 2720?\nAnswer: 57120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -588, -567, -522, -447, -336, -183?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(810\/28)*(-9315)\/2484\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - -1*2*sqrt(99)) + (sqrt(99) - -2*sqrt(99)*2))\/((6*sqrt(36)\/sqrt(2))\/sqrt(2))*-1)**2.\nAnswer: 176\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1025365 by 5.\nAnswer: 205073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1 - -2) + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -257, -238, -219, -200?\n\"Answer: 19*f - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1168296*m**3 - 82*m**2 + 9*m - 188.\nAnswer: -7009776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 438895699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hehrzhhhhhiirriliz. Give prob of sequence zri.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4\/12 + 203873*m**3\/12 - 2308974969*m**2\/2 + 26143752001401*m + 340063921731222 = 0.\nAnswer: -13, 67962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 9:08 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-4 - v + 4) - 4*v + 0*v + 2*v + (2 - 3 + 0)*(6*v - 4*v + 3*v).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c**2 - 9*c + 4. Let x = 27 + -39. Let w(i) = -2*i - 18. Let b be w(x). Let g(m) = -21*m**2 - 3 + 27*m**2 - m + 9*m. Calculate b*g(z) + 5*u(z).\nAnswer: z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1066 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 1:00 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -4*n - 36, 10*n + 54 + 39 - 9 + 4 = -4*v for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/7240860 and -43\/3697227.\nAnswer: 2440169820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 157*k - 589. Is v(48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 709 - 703. Solve -z = -v - t*z - 14, 0 = -4*z - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803697 is divided by 40.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**6*u*u\/(u**(8\/7)\/u))**(3\/22))**(4\/21) assuming u is positive.\nAnswer: u**(10\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oon when three letters picked without replacement from {n: 1, o: 3, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -44, -101, -180?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/86243088 and 3\/35934620.\nAnswer: 431215440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16666 (base 7) to base 11.\nAnswer: -3675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = 2*n + 3*n. Let c = n - -22. Let d = c - -50. What is the lowest common multiple of 30 and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, w: 5}. Give prob of sequence hw.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2 - 4*v + 2 - 3*v**2 - 2. Let g(p) = -10*p**2 - 12*p - 5. Let m(l) = -7*a(l) + 2*g(l). What is the remainder when 26 is divided by m(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 2 (c) -1\/4 (d) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.16648\nAnswer: -0.33296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.1 + -37.1. Let v = -59.7 - -26. Let q = i - v. Which is the second biggest value? (a) 3 (b) 0.3 (c) -2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35, -163, -383, -701, -1123, -1655, -2303?\n\"Answer: -s**3 - 40*s**2 - s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*n + 91*n - 328 - 1373 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 10:23 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -2*m + 19 - 1\/6*m**3 - 23\/2*m**2. Calculate q(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-16)*2*-16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -0.9. Let h = y - 4. Let d = -2 - -1.5. Which is the nearest to 3\/4? (a) 0 (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -44*k + 41*k - 26, 4*u = -3*k - 22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 36*b**2 - b - 27*b**3 - 86*b**2 + 33*b**2 + 23*b**3 as g + a*b**2 + r*b + i*b**3 and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 317*17.83464.\nAnswer: 5653.58088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-72 - (16 - 24) - (-2 + -5)) + (4 - -4)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 202921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 4*n = 5*x - 35, -28 = -4*x - n. Let o(q) = -q**3 + 7*q**2 + 2*q - 10. Let m be o(x). Suppose 0*v + m*v - 44 = 0. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946347 is divided by 52540?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f - 2*f - 917 - 8*f + 31*f - 10*f.\nAnswer: -5*f - 917","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(56) - ((sqrt(56) - sqrt(280)\/(sqrt(20)\/sqrt(4))) + sqrt(56))))\/(-2*(sqrt(128)*3 + sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m**5 + 48959150*m**3 - 1314096*m wrt m.\nAnswer: -100*m**3 + 293754900*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1 - -543.6746.\nAnswer: 545.7746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15061 + 15187. Solve -77 = z*r - 115*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*((a**(2\/3)*a)\/a*a)\/a)**(-8\/15)*((a\/((a**(-3\/5)*a)\/a))\/a)\/a**(-1\/12))\/((a*a**(-2\/3)*a)**40\/(a**4*a**(3\/11)\/a*a*a)) assuming a is positive.\nAnswer: a**(-95567\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*k**5 + 4584*c*k**2 - 10*c*k - 313360*c + 20*k**4 wrt k.\nAnswer: -20*c*k**3 + 9168*c + 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 649. Let v = b + 6661\/11. Let q = 1997\/12 + -425\/3. What is the common denominator of q and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = 2*i. Let x be -13*i\/(1\/3). Suppose -4*h + h + x = 0. Calculate the remainder when 37 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 11. Let c(f) be the third derivative of -f**6\/120 + f**5\/60 - 9000*f**2. Let x(y) = -3*y**3 + 7*y**2 + 4*y. Give q*x(p) - 6*c(p).\nAnswer: 3*p**3 + p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8508, -17014, -25520, -34026?\n\"Answer: -8506*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4958 a factor of 2840968093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b + 85. Let v be b\/(-2) - (-2)\/4. Let n(o) = o - 8. Let j be n(v). Solve i - j = 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 500*m**2 - 1398*m + 98280.\nAnswer: 2*(m - 252)*(m - 13)*(m + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-7 + 7 + 9)*(2*j - 6*j + 3*j).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 245 and 4470?\nAnswer: 219030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 1 + 1)*(0*x - x + 0*x) + 30*x + 3*x**2 - 30*x - 2*x**2 - 3*x + 3*x + 1.\nAnswer: -x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12346 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 30 (b) 4 (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, o: 5, i: 6, g: 2, z: 1}. What is prob of picking 1 z and 1 o?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + (-18)\/2)*-1. Let f be (14\/(-5))\/(n\/(-15)). Let j be 2\/5*f\/(21\/(-5)). Which is the fourth smallest value? (a) j (b) 3\/4 (c) 1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1229 * -0.19\nAnswer: -233.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44862402 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1702391679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 11:39 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(40)*6)\/(-4*sqrt(1152)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76, 143, 210, 277, 344, 411?\n\"Answer: 67*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*y + 110 + 26 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l + 15 - 3*l - 6 - 9*l.\nAnswer: -28*l + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/22640 and -32\/15?\nAnswer: 67920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-126))\/((-3)\/((-105)\/(-25)))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -73?\nAnswer: 5\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(132)\/(4*sqrt(108)).\nAnswer: sqrt(11)\/12 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6215 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90*y**4 + y**3 + y**3 + 3175*y**2 + 3 - 2708*y**2 wrt y.\nAnswer: -2160*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*h = -198*h + 706*h - 248*h - 3328 for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*t + 22 - 7, -k + 27 = -3*t. Solve w + k = 4*m + 6*w, 0 = m - w + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 50*t - 51*t. Solve 3*f = -0*f - t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + 0 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98521 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15225\/(-9425)*((-55)\/70)\/11.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -125, -247, -355, -443, -505, -535, -527?\n\"Answer: d**3 + d**2 - 132*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.141534164 - -241\nAnswer: 241.141534164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2767 = -2*g + 12187. Round g to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 321.\nAnswer: 96.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.97 - 0.03. Let i = d - -5. Sort i, 1, 3\/5.\nAnswer: i, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22469567 and 13139?\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 896203739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18 + -2 + 1 - -1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 90710*s + 3229. Is p(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -8 + 11*f - 11\/3*f**3 - 7\/2*f**2 - 1\/4*f**4. What is the remainder when m(-11) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*a + b - 1, 3*b + 3 = -3*a. Let j = 28 - 16. Let h be 2\/24 + a\/j. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 - 77*h - 214. Calculate the remainder when 166 is divided by y(-35).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/30 - 183*d**2. Let h(a) = 3*a - 11. Calculate h(i(x)).\nAnswer: 6*x**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460 divided by -5.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n\/(n\/(n\/(n\/n**(7\/3)*n)))*n)*n**(-1)*n*n**7\/n*n*n**(-4\/9) assuming n is positive.\nAnswer: n**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25 - (-2)\/4*0. Suppose -10 + 5 = -5*m, 5*a - b = 5*m. Suppose -a*v = -2*v - 308. Calculate the highest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 1, p: 3}. What is prob of picking 1 d and 1 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**3 + 273*v**2 + 555*v + 279 = 0 for v.\nAnswer: -1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**6 + 92*l**5 - 524*l**2 wrt l?\nAnswer: -120*l**3 + 5520*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/(b\/(b\/(b**(-1\/4)*b)))*b)\/b*b)**(2\/3)\/(b**(1\/6)*b*b*(b*b**(-2\/5)*b)\/b*b*b))**(-42) assuming b is positive.\nAnswer: b**(686\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05533575679 rounded to 3 dps?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**3\/5 - 34608*w**2\/5 - 13846*w + 103836\/5 = 0.\nAnswer: -3, 1, 17306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 929508, 929576, 929644, 929712?\n\"Answer: 68*w + 929440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.3601l to millilitres.\nAnswer: 8360.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -30*d. Let f(q) = 2*q. Let i(z) = -66*f(z) - 4*v(z). Let n(o) = o**2. Give i(n(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 712604*a**5 + a**4 - 226*a**3 - 919284604*a**2?\nAnswer: 42756240*a**2 + 24*a - 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1857876?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-9 - (-3 + -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -k + 73, 3*p + 4*k - 27 = 0. Solve -11 = x - 3*t, -3*x - 10 = p*t - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, t: 1, c: 1, e: 2}. Give prob of picking 1 e and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-4) - (-1)\/(-4). Suppose 0*b + 4*b = 4*v + 132, g*v = -25. What is the greatest common factor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - z**2 - 37. Let y be f(0). Let q = -23 - y. Suppose -3*r + q = -5*c, r - 2*c + 1 = 2*r. Solve -5*m + 8 = r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3 + 208*j**2 + 3696*j - 225792 = 0. Calculate j.\nAnswer: -32, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, -62, -185, -368, -617?\n\"Answer: -g**3 - 21*g**2 + g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 338 = 402. Suppose -12 = -4*r, 15*r - 10*r = -3*j + 75. What is the remainder when p is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*h + 14*h + 13*h as u + j*h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -0.18, -5\/1988?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.01 - 0.01. Let c = -1.0000005 + h. What is c rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -3 in decreasing order.\nAnswer: -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*l**6 + 15*l**6 + 10*l**2 - 10*l**6 wrt l?\nAnswer: -480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 100535.\nAnswer: 1005350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3.74559 * -1\nAnswer: 3.74559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 39774.63 grams in tonnes?\nAnswer: 0.03977463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 10. Let p(m) = -m**3 - 7*m**2 - m - 8. Let l be p(-7). Put 3, l, q in descending order.\nAnswer: 3, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*6\/5*-5. Solve 4*p = p - d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11033 is divided by 233?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 18 + 72 = 0. Suppose 2*m + s + 19 = 0, -4*m = -s + 26 + 9. Let l = m - z. Solve 0 = 5*p + 5*j + 25, -3*j - l = p - 0*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517300?\nAnswer: 2, 5, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d. Let x(c) = -19*c. Calculate x(j(u)).\nAnswer: -190*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 426 and -0.2?\nAnswer: -85.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 - 0.07. Let u = -0.99 - g. Let s = -72 + 71.7. Which is the nearest to u? (a) -5 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.06966l to millilitres.\nAnswer: 92069.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 15, 13 = 2*q - 7*o + 8*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 9*i - 183. Solve t = 5*l + 5 + 20, i*l = -16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/308699849 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 + 116. Suppose 0*n + 6*n - 6 = s. Which is smaller: n or 10\/29?\nAnswer: 10\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/(-2))\/((-57)\/(-2660)).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -488 - -810. Let j = -322.606 + r. What is j rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 4*r - 5. Suppose -r*g + 15 + 10 = 0. What is the smallest common multiple of g and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3855742 is divided by 1039.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.86*0.09.\nAnswer: -0.0774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.022 (b) 0.314 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a**5\/3 - 368*a**4 - 86*a**3\/3 + 4696*a**2 + 10648*a\/3 - 800 = 0 for a.\nAnswer: -3, -1, 2\/11, 4, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f + 85. Let b be ((-45)\/(-15))\/(-2 - 245\/(-130)). Calculate z(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -12*z**2 + 3*z. Let i(m) be the first derivative of m**3\/3 + m**2\/2 + 7. Let x(s) = -h(s) - 6*i(s). What is the second derivative of x(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.35555 rounded to two decimal places?\nAnswer: -6.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 3\/6055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4726, 4719, 4712, 4705, 4698?\n\"Answer: -7*r + 4733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(13) + -2 - sqrt(13)) - sqrt(143)\/(sqrt(11) + sqrt(22)\/sqrt(2)))**2.\nAnswer: 2*sqrt(13) + 29\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12351 + -3?\nAnswer: -12354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187254.\nAnswer: 2, 3, 101, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n - 14*n - 19. What is the third biggest value in 2\/7, n, -4\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = w - 3*n, 0 = -w + 2*n + 11 - 16 - 25 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 13*y**2 + 163*y - 7527. Determine f(-33).\nAnswer: 1251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*k - k. Sort 3, k, -5.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5*c - 26 - 14, c - 22 = -5*q. Let p = q + 2. Solve 8*k - p*k = -5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezffffezzzfeefz. What is prob of sequence efz?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 3:18 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7923 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: Simplify (-1*((sqrt(204) - (sqrt(204) + (-2*sqrt(204) - sqrt(204)))*-6 - sqrt(204)) + sqrt(204))*-5)\/((1*sqrt(144)*1)\/(sqrt(240)\/sqrt(5))).\nAnswer: -110*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*u + u. Is (-3 + 3 + u)*-17 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27521.3 times 1\nAnswer: -27521.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19221 + 19221. Let l(u) be the second derivative of 22*u - 11\/6*u**3 + h*u**2 + 0 + 7\/12*u**4. Find the second derivative of l(w) wrt w.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273402377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 640347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/4 (b) 0.01 (c) 2\/7 (d) 4\/3 (e) 7 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 843892915301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2235 + 1416. Is 13 a factor of v\/105*20\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/20 - (-4)\/(-10). Let t(i) = -i**2 + 10. Let y(q) = 2*q**2 - 6*q + 2. Calculate the lowest common multiple of t(s) and y(5).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 23*n + 255. Let z(x) = -x + 1. Let r(m) = -a(m) - 4*z(m). Does 9 divide r(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 5*m - 6*m - 2, 4*c - 5*m - 10 = 0. Let g be (-30)\/(-18) + (-1 - c). Factor 1\/3*u**2 + 1\/3*u - g.\nAnswer: (u - 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/(-12)*3\/(30\/8). Suppose -s - 2*o = -8, 0*o + q = o. Suppose 3*i + 6 = s*i. Solve i*d = d + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -11. Suppose b = 8*s - 2*s - 24. Solve 3*y = s*a + 8, 0 = -5*a - 6 - 19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 59*a**2 + 58*a - 42. Give m(-58).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*t - 1. Let y be 2*1 + (-9)\/t. Let x(b) = -b**2 + 18*b - 45. Let f be x(15). Put y, -2, f in decreasing order.\nAnswer: f, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/807563, -3\/2, -1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**4 + 3*t**5 + 6*t**4 + (3*t**2 - 4*t**2 + 0*t**2)*(t**3 - t**3 + t**3) + (-6*t + 2*t**2 + 6*t)*(35*t - 35*t - 3*t**2)*(-t + 2*t + t).\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -195595423 divided by 5?\nAnswer: -195595423\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y - 10. Let z be u(-2). Solve -z = -5*g + g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u**2. Let p(r) be the second derivative of 0 - 1\/12*r**4 - 8*r + 0*r**3 + 0*r**2. Give t(p(h)).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18, 2.221, 2\/203, 0.13?\nAnswer: 2.221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -8\/11 (b) -1\/11 (c) -2\/11 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 1. Let m be g(2). Which is bigger: -2\/3 or m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/20 and 39\/2192.\nAnswer: 10960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.102 - -0.202. Let j = -59\/18 + 7\/2. Let n be 1\/(-10) + (-2)\/5. Which is the third biggest value? (a) n (b) j (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 x when three letters picked without replacement from xxxpppeppepxe?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.355 * -2\nAnswer: -2.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75\/2 greater than or equal to 5780823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-251 - 1 - 170)*(-z**3 - 2 - z**3 + 0*z**3) to the form c*z**2 + o*z**3 + t + q*z and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-84)\/(-210))\/(2\/9))\/(3\/(-25))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - (0 + -12) - 29.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1305 (base 7) to base 14.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**7\/840 - v**6\/120 - v**5\/40 + v**4\/12 - v**3\/3 - 4*v**2. Let t(o) be the first derivative of r(o). Give t(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 735.4 - 735.433527. What is p rounded to 3 decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 o when three letters picked without replacement from {q: 1, s: 3, o: 3, t: 1, d: 1, v: 5}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 73.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + -0.9. Let v = 321 + -316. Which is the nearest to i? (a) -1 (b) v (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014467 to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130216 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (934 + 671 + 67 - 112 + 294)*(i**5 - i**5 + 3*i**5).\nAnswer: 5562*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/((-70)\/15) + 23964\/8044 and -111\/10.\nAnswer: 20110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 2)*2\/6. Let w(a) = a**2 + a - 320*a**3 - 359*a**3 + 634*a**3. What is the tens digit of w(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.2. Let g be (-38)\/5 - (-27)\/45. Let d be (-10)\/(-12) + (-8 - g). Is y less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4051 = 49322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, r: 6, o: 1, m: 7}. Give prob of sequence mrp.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 99*n**5 - 186*n**2 - 3*n - 3. Let h(x) = -x**2 - x - 1. Let j(t) = -3*h(t) + p(t). What is the third derivative of j(c) wrt c?\nAnswer: 5940*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5968229, -5968228, -5968227, -5968226, -5968225, -5968224?\nAnswer: -5968223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 500032?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 + -89. Let d = -39 - k. Suppose 38 = -d*z + 210. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-20))\/(20\/(-250))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-9 + 4 + -2 + 25 - 1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -t - 8*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-25 - -35 - 57)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 248 - 249. Let g be 10\/(-45) + (-10)\/36. Which is the nearest to -0.1? (a) g (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -187*z**3 - 160?\nAnswer: -561*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**3\/3 - 100*g**2\/3 - 184*g\/3 = 0. What is g?\nAnswer: -23, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/68*-5*80\/(-100). Let t be (2 - 0)\/(-4)*3. Which is the smallest value? (a) 5 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153907 is divided by 170?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 82639 <= -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28810, 57640, 86486, 115348, 144226, 173120?\n\"Answer: 8*g**2 + 28806*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/545187 and -91\/6.\nAnswer: 1090374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.680976 to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 55*v - 66. Let x be b(29). Suppose 64 - 190 = -x*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 64, 122, 186, 256?\n\"Answer: 3*q**2 + 49*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -515, -1044, -1573, -2102, -2631?\nAnswer: -3160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1047 - 104*g + 1041 - 2089.\nAnswer: -104*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/38323 - 1808291\/30275170. Find the common denominator of y and 15\/1738.\nAnswer: 8690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17645580)\/21 + 4\/(-14). Suppose -119*d + 112*d + 26321862 = 0. Let m = d + n. Round m to the nearest 100000.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 1430718.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z + 170 = -80*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6468 and 882.\nAnswer: 19404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -h - 3*g, g + 2*g = 3*h - 12. Let q = 60 + -39. Is -2 - -1*(h + q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 1 = -r - 0, r + 31 + 31 = 3*l + 61 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1540*y + 692*y - 18452 + 6747 - 88735 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(60\/(-144))*(-104)\/(-39)*1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7794641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15050 + -7.6.\nAnswer: 15042.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0664 or 631593?\nAnswer: 631593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 12 = 6*i. Let o be (-6)\/i*(-70)\/(-21). Let y(w) = w + 7. Calculate the smallest common multiple of 8 and y(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p. Let k(y) = 4320*y**2 - 30*y - 105. Let z(s) = -617*s**2 + 4*s + 14. Let f(b) = 2*k(b) + 15*z(b). Give f(m(h)).\nAnswer: -615*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*r - 35*r + 154*r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*x + 1837 - 693 = 0. What is the greatest common factor of x and 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -10. Let c be s\/3 + 2\/6. Is (11\/c)\/((-1)\/(-4)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + 1 + -5 - (-50 - -43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 470*x**3 - 1078*x - 61974 with respect to x.\nAnswer: 1410*x**2 - 1078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -8*p + 148. Solve w - 7 + p = -3*g, 4*g - 3*w = -25 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 + -0.6712515.\nAnswer: -165.6712515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 18\/5 of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - 15*c**2 + 6*c - 11. Let d be g(7). Is 99\/d*2*-149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(((-6)\/6*-2)\/(2\/(-1))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 405060577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -897.03?\nAnswer: 896.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/42, 16, -0.5, -4, -0.04 in descending order.\nAnswer: 16, -1\/42, -0.04, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52973458 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-42))\/(40\/4)*-185\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02942 + 77482.06.\nAnswer: 77482.03058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*k**2 + 44\/7 - 6*k.\nAnswer: -2*(k - 1)*(k + 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:43 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*i - 5*i + 8, -4*i + 2*f = -6. Put i, 11, -2 in ascending order.\nAnswer: -2, i, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g**2. Let x(i) = -4*i + 3. Let c be (-1 + 2 + -2)\/((-44)\/88). Let u(a) = -a + 1. Let q(r) = c*x(r) - 6*u(r). What is s(q(o))?\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vviycvvivczvvvvkcv. What is prob of picking 1 c and 1 z?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41230?\nAnswer: 2, 5, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xns when three letters picked without replacement from sszzzxznsxnzzszzszsz.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -116, -83, -26, 61, 184?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34, -40, -52, -70?\n\"Answer: -3*w**2 + 3*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/63 + 24\/84\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6531 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.34 + -0.64. Which is the fourth smallest value? (a) 5 (b) -3 (c) v (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*sqrt(27) + sqrt(18)\/(sqrt(30)\/sqrt(5)).\nAnswer: -3 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.1, 16.65, 99?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 - 57*f**2 + 81*f + 5. Let g be q(27). Solve 10*t = -n + g*t - 4, -2*t = 5*n + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l**3 - 2 + 2*l - 2*l**2 - 2*l**2 + 4*l**2. List the prime factors of w(-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2633 times 8\nAnswer: 2.1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4648, 0, 2, 51, -5 in ascending order.\nAnswer: -4648, -5, 0, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.12 (b) -0.77 (c) 1 (d) 1471 (e) -20 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 22*s + 22. Let l(j) = -j - 1. Determine -4*i(p) - 88*l(p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 6. Let p(s) = s - 5*s + 3*s + 1. Let l be (-1)\/(11*(-24)\/(-32) - 8). Calculate l*p(g) + k(g).\nAnswer: 5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*9\/(-48))\/(-2*(-15)\/144)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**3\/3 + 396*o**2 + 37448*o\/3 - 165760 = 0. Calculate o.\nAnswer: -259, -48, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*g - 581*c + 583*c, 2 = g + 3*c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 9*m + 15 - 109 = 4*b + 5*m, 10*b + 5*m = -50 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, 0, -2, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*b**2 + 18*b**2 + 72*b + 2 - 71*b to j*b + u*b**2 + g and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100\/7 + ((-6)\/(-63))\/((-19)\/57) and 678.\nAnswer: 4746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75625*n**2\/9 - 317900*n + 3006756.\nAnswer: (275*n - 5202)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**2 - 118736*k - 5690112 = 0.\nAnswer: -29636, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 20, 246.62, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*o + 24 = 0, -7*t = -2*t + 5*o + 30. Suppose 1 = 4*m - 3. Solve t - m = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30345 and 2115.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-12.22745\nAnswer: 4.89098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33, 74, 195, 336, 503, 702, 939, 1220?\n\"Answer: p**3 + p**2 + 97*p - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 7 + 6 = 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2. Let r = -3 + 7. Suppose -2*v + 0*v = -5*b + 21, -2*b + 2 = -r*v. Let c(s) = 3 + s**v + 1 - 4. Give k(c(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-8) + (-282)\/8. Let c = n - -46. What is the smallest common multiple of c and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -429ec (base 16) to base 12\nAnswer: -111ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173053275 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.59251 milliseconds in nanoseconds?\nAnswer: 6592510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 - 4*f**5 + 2*f**5 + (77*f**2 + 93*f**4 - 77*f**2)*(2*f - 3*f + 0*f)*(3 + 1 - 3) + 6*f - 6*f + 4*f**5.\nAnswer: -90*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 622*w - 632*w, -24 = -3*j - 6*w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 9:54 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = m + 2*m. Let k(v) = -v. Let o = -6 - -11. Let c(n) = 2*n + 4*n - o*n. Calculate m*c(s) + k(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u + 188. Suppose -3*n + 4 = -a, -388*n - 5*a = -387*n - 12. Put u, 1, n in decreasing order.\nAnswer: n, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195461167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87.26 - -21.61. What is n rounded to 0 decimal places?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**3*r**2*v**3 - 16263*o**3*r**2*v + o**2*r**2*v - 5*o**2*r*v**2 - 5468*o*r*v**3 wrt o.\nAnswer: 6*r**2*v**3 - 97578*r**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 16*k - k - 15*k as i + g*k and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/35*9\/((-1755)\/(-70)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130830506 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 + a**2 + 3*a + 10. Let n(i) = i**3 + i**2 - i + 1. Let c be (-20)\/(-6) + (-2)\/(-3). Let r(v) = c*n(v) - x(v). Calculate r(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a century in decades?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2) + (-3)\/6. Calculate the smallest common multiple of (-5)\/(25\/(-4)) - (-92)\/10 and 2\/(-4)*2*w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 70478864 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 105460711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11518747, 46075015, 103668789, 184300063, 287968831?\nAnswer: 414675087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 399 - 262. Calculate the remainder when k is divided by 50.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:28 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:29 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1706 + 1706 + 52*s**2 to d + z*s + w*s**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -179*b + 174*b + 55, 2*a + 44 = -54*b - 83 - 59 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-114)*4\/(-3). Let g = 0.2 + 0.1. Let s = -0.038 - 1.962. Which is the second biggest value? (a) g (b) s (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683495 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 1:28 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12585664 divided by -182.\nAnswer: 69152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17, 2763, -4, -2 in decreasing order.\nAnswer: 2763, 17, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21594107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*q**4 + 177*q**5 - 174*q**5 + 37*q**4 - 9*q**2 - 6*q + 3*q**3.\nAnswer: 3*q*(q - 1)*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 4*o. Let s = -8 - -8. Let q(g) = g**3 + 0*g + 0*g**3 + s*g - 5*g. Give -4*q(x) - 5*z(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 76\/3*a**2 + 28\/9*a**4 + 14*a + 0 + 128\/9*a**3 + 2\/9*a**5 = 0.\nAnswer: -7, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/52)\/((-249168)\/67483).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 6*m - 96 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217 and 959.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5 = 5*h, 0 + 6 = -3*h. Sort -2, c, -2\/3, 6 in ascending order.\nAnswer: c, -2, -2\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43708 (base 9) to base 8\nAnswer: 70516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-22 - -15)) + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13283.37350203 + -13283.38. Let h = y + 0.0065. What is h rounded to 7 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 801 divide 1207230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 7*u + 20 = 0. Calculate the highest common divisor of u and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 9*b + 4. Let j be t(9). Solve -a = j*a + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1121?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*l**2 + 8 + 9*l**2 - 6 in the form f + r*l + g*l**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -2.4, 11.3, -4\/15?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 16*u**3 + 7*u + 12. Let y(d) = 5*d**3 + 2*d + 4. Let q(w) = 2*f(w) - 7*y(w). What is the first derivative of q(z) wrt z?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -5.15.\nAnswer: -0.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 496 - 493. Solve -48*w**d - 45*w**2 + 0*w**2 - 33*w**4 + 22*w**4 + 8*w**4 = 0 for w.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 - g - 3. Let o(u) be the first derivative of -1\/2*u**2 - u - 1\/3*u**3 + 2. What is i(h) - 2*o(h)?\nAnswer: -h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56487058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -73?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -31*q**3 + 58*q**2. Let h(o) = -15*o**3 + 29*o**2. Let y(z) = -5*h(z) + 2*x(z). What is the third derivative of y(f) wrt f?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**8\/1680 + f**4\/24 + f**3\/2 - 3*f. Let m(o) be the second derivative of n(o). What is the first derivative of m(k) wrt k?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 50*u**2 - 3748*u - 149. Give s(75).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 6*k. Let t(r) = r + r - r + k. Let a(y) be the third derivative of -y**5\/60 + 7*y**2. What is a(t(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.65 in 4, -9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -33*s - 97. Let h(t) be the third derivative of -t**4\/24 - 39*t**2 + 73*t. Determine h(q(b)).\nAnswer: 33*b + 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -33164, 2 in decreasing order.\nAnswer: 22, 2, -33164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/38*368\/23.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 7, e: 1, s: 6, u: 1}. What is prob of sequence sb?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3029 is divided by 676.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from asafooosvoooaofsooov?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -19) + 3 + 3 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -19 + (13 - 10 - 4). Suppose -152 = -3*g - g. Let q = b + g. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -665, 2, -1 in descending order.\nAnswer: 2, -1, -2, -665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806250?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 406 and 43274?\nAnswer: 1254946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -1085.\nAnswer: 17\/1085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 628125900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**5 + 136*j**4 + 440*j**3 - 13072*j**2 + 17220*j + 88200 = 0.\nAnswer: -21, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-3))\/(h*h*h**2)*(h**(-1\/4)*h)**(-43))\/((h**0)**(-2\/29)*(h*h**6)\/h**6) assuming h is positive.\nAnswer: h**(-153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(-2*z**4 + 10*z**4 - 35*z**4 + 0*z**4 + 2*z**4 - z**4 + (3*z + 0*z - 5*z)*(4*z**3 - 2*z**3 + 0*z**3)).\nAnswer: -30*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10132114 (base 5) to base 10.\nAnswer: 83409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 1 = 6*s. Suppose o = 2*r - 5*r + 24, s*o + 4*r - 62 = 0. Calculate the remainder when 33 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 5*t**2 - 235*t + 1439. Determine k(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*q - 150*q - 2 + 1 + 1.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = 4*p, -42 + 17 = -5*p - 5*d. Let i = 2 + p. Solve 5*r - 4*r = -i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.613816 decades?\nAnswer: 0.09613816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -179963491.78 and 12?\nAnswer: 179963503.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqwwwqqqwqqqwwqqt. Give prob of sequence qq.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - h + 1. Let m(o) be the second derivative of 1\/2*o**2 - 1\/3*o**4 + 0 - 1\/6*o**3 - 9*o. Calculate b(v) - m(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42876481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/6)*m**(-6)\/m)\/(m**(2\/3))**(13\/3) assuming m is positive.\nAnswer: m**(-181\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214747, 859841, 1935005, 3440245, 5375567, 7740977?\nAnswer: 10536481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 4 + -4 - 1) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4692 - 4684. Solve -8*a + 10*a = -4*g + 4, g = 3*a + j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 45\/2 of a millennium?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/48 and 59\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.07 + 29.07. What is the closest to 0 in -0.12, -0.3, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 822.11 - 766.2. Round k to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 0*i + 0*i + (3 + 0 - 2)*(-4 + 1 + 2)*(-129*i - 1436 + 1436)*(2 - 4 + 0).\nAnswer: -259*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(-117))\/(3\/((-135)\/6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.08512l to millilitres.\nAnswer: 5085.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1561472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2548 + 12797 = -345*g - 2940 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 5*z + 180 = 0. Let r be ((-18)\/(6\/3))\/(z\/(-1176)). Calculate the greatest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, 5, -0.1, 2\/7 in increasing order.\nAnswer: -0.17, -0.1, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.84 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*x**2 + 71*x**2 - 48*x**2 + 38*x**2.\nAnswer: 186*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 9*m + 10. Let i be x(8). Let t = 381 - 381. Solve 2*d - i = -t*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**8\/336 + 3*g**7\/70 + g**6\/8 + 7*g**5\/60 - 14*g**2. Find o such that a(o) = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.43 + 0.57. Let u = -24 + s. What is the fourth biggest value in u, 0.02, -0.4, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-3)*85\/(-68)*-42*1\/4\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*v - 500*v = 20474 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 129882757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 91 + 111)*(-o - 3*o + 3*o).\nAnswer: -67*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2331952.\nAnswer: 2, 7, 47, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 - 2*p**2 - 19*p\/2 - 7.\nAnswer: (p - 7)*(p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -155362, -310778, -466194, -621610?\n\"Answer: -155416*t + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 34790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 12*z - 72. What is the least common multiple of 6 and l(8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 33 + 66. Suppose -3*z = -p + 18. Are -4 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206704 is divided by 7639?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 7. Determine f(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 4:01 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/18912 and 13\/20815020?\nAnswer: 166520160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 669*u**2\/2 - 4038*u - 376. Differentiate s(c) wrt c.\nAnswer: 669","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(-2\/3)))\/n)\/n**(1\/2))**6 assuming n is positive.\nAnswer: n**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4*k - 6)*((k + 4*k + 0*k)*(-2*k + 3*k + k)*(-2 - 2 + 1) + 0*k**2 - 2*k**2 + 4*k**2).\nAnswer: -112*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.79.\nAnswer: 0.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.8 - -3.9. Suppose 4*w + 0*y = -2*y - 8, 3*w + 5*y - 8 = 0. Let j be 851\/333 - w\/9. What is the closest to q in 4, -7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-38)\/u)\/u)\/u)\/u*u)\/(u\/u**(-1\/7)) assuming u is positive.\nAnswer: u**(-295\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 4*u + 32, 5*x - 4*u = -10 - 25 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/43146)\/((-1116)\/12648).\nAnswer: 1\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 f, and 1 u when four letters picked without replacement from fupppupp.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*s = 331 + 274, 0 = j + 5*s - 306. Let v = j + -195. Suppose 2*m + v - 20 = 0. What is m rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 8, -3097 in descending order.\nAnswer: 8, -16, -3097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-3))\/(-8))\/(9\/108)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112419 - 129857 + 242276 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*a - 20 = -0*a, -3*q + a + 5 = 0. Suppose -6 = -6*r + q*r. Suppose r*l - 11 = n, -5*l + n + 7 = -16. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139192 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-4) - 1) + 105\/28. Suppose 3*h - 7*h + 314 = 2*m, -n*h = -2*m + 330. 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 1401, 2751, 4105, 5463, 6825, 8191?\nAnswer: 9561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.02068 to three dps.\nAnswer: -1.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48899*c + 0 - 48903*c + 1 + 97800*c.\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 129358570 and 888723.\nAnswer: 1164227130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.214056 to the nearest integer.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/5 + 22*p**3\/5 + 21*p**2\/5 = 0 for p.\nAnswer: -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n = -99*n + 194*n - 264 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*c = -18, -4598*c + 4599*c + 3 = -4*t + 5*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16038 by 1782.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -6) + (-8)\/(2 - 3). Suppose 5*t - 2*b - 45 = 0, 5*t - t + 3*b - 59 = 0. Let m = t + s. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 74*o**6\/15 - 121*o**3\/6 + 21*o + 3. What is the second derivative of v(k) wrt k?\nAnswer: 1776*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 507 and 219.\nAnswer: 111033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - 51. Is 22 a factor of (-2)\/4 - (-651)\/v - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + -56. Suppose 0*t = -4*t - 5*k + 570, -m*k - 272 = -2*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*t - 3*w - 2, -5*t + 5 = w. Let v = t + 1. Factor d**2 - 2*d**v - 1 + 4*d - 2*d.\nAnswer: -(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 83 = -4*u, 2*u + 4*b = 13 + 61. Suppose -4*n + u = -25. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*o = -110, -2*r + 3*o + 18 = -r. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 19 = -z, 3*z + z - 4 = 4*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 23*t**3 + 0*t + 266*t**2.\nAnswer: -23*t**3 + 266*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*(-5)\/((-6300)\/(-3045)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 16) to base 8.\nAnswer: -10401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvlllhvlvl. What is prob of sequence lhll?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -3) + (-150 - -147)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/55 or -380\/571?\nAnswer: -380\/571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.787 - -0.203. Let f = s - 0.989999787. Round f to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 6 = 22. Suppose 0 = g - 2*y - 3*y - 25, -4*g + 5*y = -40. Suppose -l + 166 + 10 = g*r, -l - 139 = -t*r. What is r rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330 = 125*b + 560 + 3235 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 10:14 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -522.2317 to the nearest 10.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 170984 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**4*z)\/z*z**(-6))**(-20))**(1\/3) assuming z is positive.\nAnswer: z**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/(-20)*10*((-119)\/(-28))\/17\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 308359865 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17\/2 + -8. Which is the closest to w? (a) -3 (b) 8 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17c (base 15) to base 16\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/4, -37, 5, -7\/6, 123, 4?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/5)\/((-9)\/45). Let g(v) = -8*v - 7. Let q be g(j). Suppose q = h - 13. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j. Suppose 21 = 6*a + a. Let s(z) be the second derivative of -a*z + 1\/12*z**4 + 0*z**2 + 0*z**3 + 0. What is s(i(r))?\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/15 and -41\/78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 14*j + 13. Calculate h(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2051)\/((-49)\/7) - -4 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3 - 3 + 18*b**2 - 19*b**2. Let w(l) = 25*l**2 + 13*l + 13. Let o(n) = 12*n**2 + 6*n + 6. Let z(c) = 13*o(c) - 6*w(c). What is z(a(p))?\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jor when three letters picked without replacement from jrrjzyjjjztjjjzot?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-15.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -652647 at least -652743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23392 by -22.\nAnswer: -11696\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43037 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65994, -65996, -65998?\nAnswer: -66000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 2. Let a(h) = 0 + 1 + h + 0*h. Let t(f) = a(f) - x(f). Let d(v) = -3*v - 4. Let s(r) = 5*d(r) - 20*t(r). Let m(c) = -5*c. What is s(m(g))?\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 46?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(136) + sqrt(136))\/sqrt(8) + sqrt(17) + -3.\nAnswer: -3 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/14*(0 - -2). What is the third derivative of -2*m**4 + 5*m**2 - m**4 + 3*m**3 - z*m**3 wrt m?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22896 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063822786?\nAnswer: 2, 13, 83, 492967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3909.237 months?\nAnswer: 3.2576975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*h - 22 = -0, 6 = -t - h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/7154 and 71\/8?\nAnswer: 28616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 9*d**4\/4 - 9*d - 9. What is the derivative of l(m) wrt m?\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9100925 is divided by 3033616.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2937826 or 2937827?\nAnswer: 2937827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*i**2 + 73*i**2 - 8*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*q + 151 + 13, -4*i + 2*q - 620 = 0. What is the units digit of (i\/3)\/((-1)\/3) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2. Let o(w) = 9762*w**2. Calculate o(c(u)).\nAnswer: 39048*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 230713200 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.0945 tonnes in nanograms?\nAnswer: 76094500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 0 + w**2 + 0*w - 3437\/60*w**5 + 8\/3*w**3 + 3\/8*w**4. Let i be n(-16). Round i to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = -2*s - 3, 5*s = -5*r + 40. What is the second derivative of -17*w**3 + r*w**3 + 17*w**3 + 4*w wrt w?\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2137 is divided by 706.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/16 + 41\/144. Let w = 0.1 + -0.2. Let g = 0.40174 - 0.20174. Which is the closest to g? (a) l (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + 16. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 - 103. What is the smallest value in 4, -0.5, 2\/9, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, u: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-6))\/(5\/530). Let q = u - 44. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (3 + -21)\/(-3))\/((-36)\/63)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*h**3 + 172*h**4 + 167*h**4 + 170*h**4 + 169*h**4 + 148*h**2 - 192*h - 680*h**4.\nAnswer: -2*h*(h - 3)*(h - 2)*(h + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13833 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -32*l**3 - 4*l**2 - 13*l + 31. Let y be f(4). Let x = y + 21381\/10. Which is bigger: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**4\/3 + 28*s**3\/3 + 2308*s**2\/3 - 112*s\/3 - 3072 = 0.\nAnswer: -36, -2, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 20 = -0*r, 4*d = -2*r + 40. Suppose 9*z - 4 = d*z. Solve 2*u - z*u = -8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, c: 1, g: 5, u: 4}. Give prob of picking 2 a.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 4*d**2 + 6*d + 5. Let u be v(4). Calculate the highest common factor of u and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28.74 - 28.7400004342. Round n to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = o - 5*z, -5*o - 2*z = -4*z - 729. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/496 + 55\/124. Calculate the common denominator of u and 63\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 8688.629.\nAnswer: -17377.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35 and 1435?\nAnswer: 50225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/(-48))\/(9\/204). Put k, 3, 0.1 in increasing order.\nAnswer: 0.1, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-852)\/(-3822)) + -13 + 26 + -4\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559956608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let k(y) = -2. Determine -k(a) + 3*v(a).\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = -27132. Let u = -189835\/14 + d. Find the common denominator of (-6)\/(-10)*(-15)\/22 and u.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -121814 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148580 and 315514.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -20 (b) 1\/3 (c) -0.1 (d) -17 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 15*f - 54. Let p be u(7). Suppose -56*m = -p*m - 1725000. What is m rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -125*x + 13120. Let i be m(105). Sort 56, -4, 1, 2, i.\nAnswer: i, -4, 1, 2, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3600\/162 + (-2)\/9. Calculate the highest common factor of 33 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 192 - 188. What is the smallest common multiple of k and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**3 - 2*g + 1. Suppose -z + 1 = -0. Let r be o(z). Suppose 2*d = 3*h - 29, -5*h - 4*d + 43 = -r*d. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3164 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882459.\nAnswer: 3, 71, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81037.\nAnswer: 11, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 10:28 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336960 and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 284290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -387 - -18193\/47. Let k = 157\/188 - p. Let u = -5.5147 - -0.5147. Which is the nearest to 0? (a) 4 (b) u (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 198 + 62 = 0. Let y = a - 204. Let p = y + 297. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7961333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1544\/1955 - -4\/391. Which is the nearest to -4? (a) 4 (b) -0.4 (c) s (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0039 + -0.3039. Let v = -61 + 58. Which is the nearest to v? (a) -4 (b) 3 (c) o (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**7\/30 - n**3\/2 - 13*n**2\/2 + 3. Let g(h) be the second derivative of f(h). What is the derivative of g(t) wrt t?\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/24)\/(21\/(-14))*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2698?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - sqrt(231)\/sqrt(396))\/sqrt(3))**2.\nAnswer: 175\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/24)\/(11\/(-22)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 91689, 183382, 275075?\n\"Answer: 91693*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/55*(3720\/3)\/8.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/33 + -1 + (-178)\/(-110). Let m = 0.03 + 1.97. What is the closest to -2\/7 in i, m, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-315)*(30 - 31)*(-2 - -3). Let c = -167209063097\/6510 + 25684956. Let y = a - c. Find the common denominator of -149\/6 and y.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, a: 1, d: 2, j: 1, x: 4}. What is prob of picking 2 d and 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by -55*18\/(-30) - -10?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -274232?\nAnswer: 274233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 2*m**2 - 3*m**2 + (-3 - 2*m**2 + 3)*(-4 - 1 + 4) + 3*m**2 - m**2 + 5*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 56 - 57*i + 190*i - 80. Let o be 4\/5*45\/18. Let d(m) = 33*m - 6. Let f(x) = o*k(x) - 9*d(x). What is the derivative of f(u) wrt u?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q + 4680 = 26*q. Suppose -11*l - q = -2*l. Let w = -57 - l. What are the prime factors of w?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/725, 1\/6, 0.03, 3, -10\/2083?\nAnswer: -2\/725","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -9.035. Suppose 2889*v = 2880*v + 18. Which is smaller: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1431 + -1429. Let b(y) be the second derivative of 3*y**u + 0 + 10*y - 4\/3*y**3 + 1\/6*y**4. Factor b(a).\nAnswer: 2*(a - 3)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3045352*b**3 - 2130377*b + 2?\nAnswer: -18272112*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -98615.\nAnswer: 49307.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18335234*m**3 + 16999758*m**2?\nAnswer: -110011404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 2*z**2. Let o(l) = 5*l**3 - 3*l**2 + l + 1. Let c(k) = -3*o(k) + 7*p(k). Let t be (-3)\/(18\/(-4))*-3. Determine c(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 6*w**2 + 8*w + 10. Suppose 0*g + 9*g = -63. Determine s(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 19 (b) 2\/5 (c) 88\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91588723?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**2 + q - 2*q**2 + 2*q - 2 + 8*q**3 + 0*q**2 to d*q + n*q**2 + m + p*q**3 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95\/(-323)*2\/(-5).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*a + 4 - 2, 0 = 3*b - 4*a + 5. Sort -7\/4, 0.5, b in decreasing order.\nAnswer: 0.5, -7\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5 + (-1 - 1 + 1)*(-2 + 3 + 0))*(5*t - 4 + 4 + (5 - 2 - 2)*(54*t - 30*t - 16*t))*(-5 + 18 - 3).\nAnswer: -390*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*r, 0*l = 2*l - 2*r - 14. Suppose 7*j - l*j = 2. Let o(z) = 24*z**3 - z**2 + z - 1. What is the remainder when o(j) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 45. Solve w*x = -13 - 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 761808*n**2*q**3 - 2885*n*q**3 - 4*n*q + 45*q**2 wrt n?\nAnswer: 1523616*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156460, -312935, -469410?\nAnswer: -625885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 5732?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -1 + (-5 - (-14 + 2)) - -9) + 58.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(19) + -1 + 0 - (sqrt(19) + (-1 + sqrt(19) + sqrt(171) - sqrt(19) - sqrt(19))))**2.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/195 - (-526894)\/26. Suppose 97*t = 76*t + v. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/4 - 45*m**2\/2 + 189*m - 294.\nAnswer: 3*(m - 14)**2*(m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9 + -2.90000009. Round q to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) + (-21)\/(-14). Suppose -o + 1 = p. Sort -6, 0, o.\nAnswer: -6, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2)*2)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91160 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, h: 7, l: 1, t: 2, k: 1}. Give prob of sequence tt.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60879697217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -86091, -171584, -257077, -342570, -428063?\n\"Answer: -85493*a - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14022*w**6 + 3*w**2 + 154*w - 2 wrt w.\nAnswer: -1682640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 165 in ascending order.\nAnswer: -7, 2, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 142*x**2 - 87*x + 5537. Give s(-143).\nAnswer: -2471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10*z - 23*z + 6*z + 3 + 3. What is v(4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbpppppppppppppbpppp. Give prob of sequence bpbp.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 28, -2 in ascending order.\nAnswer: -2, -1, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s + 26 = 2*t, -s - 4*t = 2. Suppose 2*h - 56 = -2*q, -79 = -3*q + 6*h - 4*h. Calculate the highest common divisor of s and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-9)\/2 - 2. Let s(p) = 9 - 131*p**2 - 1 + 6*p + 130*p**2. What is the units digit of s(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 5*r**2 - 2*r - 7. Determine l(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 0 + 4*a**2 - 1\/80*a**5 + 1\/32*a**4 + 0*a**3 + 0*a. Factor h(v).\nAnswer: -3*v*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73 and 6497?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.28, 3, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.10373016 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1928 is divided by 631.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 2*w = 10*x - 6, 0 = x + 2*w + 7. Let u(t) = t**2 + 9*t + 4. Let s be u(-10). Differentiate s*f**2 - 6 - 8 + x with respect to f.\nAnswer: 28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -427011 or -427009?\nAnswer: -427009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1014 divided by 6\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 21*u + 9*u - 2)*(-22 + 22 + 8*u**3) to the form m*u + z*u**4 + g*u**3 + k*u**2 + o and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 8 + 10)*(-i**2 + 3*i**2 + 4*i - 6*i).\nAnswer: -20*i**2 + 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + j + 1348 = 0, -3*d + 1530 = 3*j + 534. Calculate the smallest common multiple of 64 and d.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 f, and 1 o when three letters picked without replacement from ffvvvvvpdhvhvodfhv?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from ijtji.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7941 + -34741877\/4375. Let t = 43744\/13125 - i. Let -5\/2*c**3 + 5\/3*c**4 + t*c - 10\/3*c**2 + 0 + 5\/6*c**5 = 0. Calculate c.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*o = 5367 - 3361 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-14 + 7) - -1 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(21\/(-6) - -4). Suppose 2*u - 5 = -1. Suppose 3*z = u*z + 2. Solve 4*j + 16 - 4 = z*k, c*k - 10 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 47*m. Let v(x) = 3*x**2. Give v(s(k)).\nAnswer: 6627*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a factor of 1574894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4302 is divided by 1409.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41756 is divided by 401.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107 + -103. Solve -4*b - 6 = 2*f, -w*f - 3*b + 16 = -2*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 22 = 4*f, -130 = f + 2*o - 131 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkgkkkgbskkkkkkk. Give prob of sequence bsb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(2*m - m + m) + (3 - 2 + 1)*(-4 - 12 + 4)*(2 - 2 - m).\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 5*b**2 + 14*b. Let z be k(-7). Solve h + 9 - 7 = z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvcavc. Give prob of picking 3 v.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 13 = 2*s - 1, -4*s - 13 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/11, -1\/4, 5013 in descending order.\nAnswer: 5013, 4, 1\/11, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*r - 865 = 169*r + 2705 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489092 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0, -24, -37503?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -10*j**3 + 11*j**2 + 11*j + 12. Let i(w) = 5*w**3 - 6*w**2 - 6*w - 6. Let c(h) = -11*i(h) - 6*l(h). What is the derivative of c(t) wrt t?\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39011.\nAnswer: 7, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 771 - 773. Which is the nearest to -0.2? (a) 7 (b) 0.06 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1222\/57 - 193322\/9177. Let i = d - 2\/23. Which is the smallest value? (a) 0.1 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c - 42. Let i be v(-6). Let l(w) = -2 + 0*w - w + 10. List the prime factors of l(i).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -435*q + 5420. Let l(d) = 118*d - 1355. Determine -3*b(p) - 11*l(p).\nAnswer: 7*p - 1355","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 319096*w**2 - w + 4*w - 319095*w**2 - 3*w. Let c(b) = -2*b + 1476. Give t(c(d)).\nAnswer: 4*d**2 - 5904*d + 2178576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -21111.1 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -228, -448, -670, -894, -1120, -1348?\n\"Answer: -k**2 - 217*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -21, -49, -89, -141, -205, -281?\n\"Answer: -6*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -50*w - 285. Give k(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.17 + -0.13. Let p(q) = q**3 + 3*q**2 - 3. Let d be p(-3). What is the second biggest value in -1, d, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*w - 192*w + 59*w - 1024*w**2 + 68*w to the form b + q*w + t*w**2 and give t.\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -36. Let b = c - -44. Calculate the smallest common multiple of 22 and b.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -50. What is the closest to -1 in q, -0.5, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 73*d + 443. Calculate v(-29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert bbb (base 14) to base 15.\nAnswer: a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -685092, -2740382, -6165866, -10961544, -17127416?\n\"Answer: -685097*j**2 + j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7464, 7506, 7580, 7692, 7848, 8054, 8316, 8640?\n\"Answer: t**3 + 10*t**2 + 5*t + 7448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 14*v**2 - 95*v + 21. What is t(-19)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/42 - 24\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -847 - 6698161?\nAnswer: -6699008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -89583613?\nAnswer: 2\/89583613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -5.9. Let t be (-22)\/110*(-2 - -3)*1. Which is the biggest value? (a) -2\/3 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + x**2 - x**2 + (-x - x + 4*x)*(2*x**2 - 2*x**2 - 2*x**2) + 2*x**3 - 3*x**3 + 3*x**3 + (2 - 1 + 1)*(16 + 20 - 10)*(-6 - 4*x**3 + 6).\nAnswer: -211*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 41, 67, 103, 149?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23499, 46979, 70433, 93861, 117263?\n\"Answer: -13*n**2 + 23519*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121187.0000081141 + 121187. Round s to seven dps.\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 5:20 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 289172913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 9:30 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -4, -167\/6, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 10 = 708*q - 706*q, 10*q + 10*r - 50 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(sqrt(539) + -1 + -5 + 3 + (sqrt(539) - (-1 + sqrt(539) + sqrt(539))))**2*-3.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, z: 2, g: 5}. What is prob of picking 2 g and 2 z?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285*0.1.\nAnswer: -28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Suppose 21 = y + o*y. Suppose -3*t + 2*t + y = -5*c, 3*t = -3*c - 15. Is -3 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 14 = 3*t, -4*q - 24 + 0 = 5*t. Let w = t + 4. Suppose -3*y = -2*h, 4*y + 5*h + 0*h - 23 = w. Calculate the lowest common multiple of y and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -74073, -148138, -222197, -296250, -370297, -444338?\n\"Answer: 3*a**2 - 74074*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + t + 21, y + 539*t = 554*t + 346 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4460*w + 4460*w - 200*w**3.\nAnswer: -200*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 44 = s, 3*l - 52 = 2*s + 2*s. Let a(d) = d**3 - 12*d**2 + d + 5. Let v be a(l). Is 19 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*g - 272699 + 269267 for g.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.1, -0.5, 0.3, 4, 3287\/6, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(4\/(-1))\/4. Which is smaller: g or 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7+4437.16\nAnswer: 4436.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**3 + 2*f + 1. Let c be (-2)\/6 - 34\/(-3). Let n = c - 12. What is u(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27958 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: Let l(k) = k**2 + 2*k - 12. Let g = 51 + -55. Let n = g + -1. Let t be l(n). Solve 4*w = -5*z - 1, -3*z + 0*z - t = 3*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -849b378 - 2?\nAnswer: -849b37a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 times 1062?\nAnswer: -226206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 4. Let k(v) = v + 1. Let i(o) = 2*k(o) - p(o). Let n be i(3). Let x = n + 2. Let s(m) = -m + 3. Give s(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b (base 13) to base 16.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 2*t**2 + 5*t - 2. Let s be l(3). Let v = 33 - s. Calculate the remainder when (-346)\/(-18) - 6\/27 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -13*o. Let f(q) = 6*q + 6. Let z(c) = -c + 2. Let g(a) = f(a) - 3*z(a). Determine -7*g(v) - 5*l(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nje when three letters picked without replacement from njonuexjenouno.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 63*p**2 - 137. Let o(r) = -r**2. Determine q(o(v)).\nAnswer: 63*v**4 - 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-18) + 1\/(-2). Let o = 258 - 244.3. Let b = o + -14. What is the third smallest value in b, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**4 - 8*o**3 - 60*o**2 - 16*o + 80 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168650.\nAnswer: 2, 5, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.5 and 0.0502938099?\nAnswer: 1.5502938099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*h - 893*h - 69888 = 761*h for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -0.0466 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.877, -0.3, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 90*a - 282. What is the remainder when 1164 is divided by x(4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 375*p**2 - 65*p + 40. Let u be b(18). Round u to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - -63.9999979. Round s to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 9 - 1 + 9 + 4 to s*k + a + b*k**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -496*h**4 + 15*h**4 + 1124*h**4 - 2294*h**2 + 610*h**2 + 884*h**4 wrt h?\nAnswer: 36648*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 6*k**2 + 8. Let a(o) = -o**2 - 8*o - 13. Let r be a(-7). Give q(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.027, 2\/13, -4 in descending order.\nAnswer: 2\/13, 0.027, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203222 (base 4) to base 11.\nAnswer: 1795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -46*l**3 - 5*l**2 + 3*l + 1. Let y be p(-3). Suppose -3*j = 5*k - y, -j + 138 = 3*k - 573. What are the prime factors of k?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 6*k**2 - 5*k - 6. Let r be c(9). Let q = -136 - r. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 72*h**3 - 7*h. Let v be k(-2). Let s = v + 560. Let u = 0.8 - 0.3. Which is the closest to u? (a) s (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 * 12032.9\nAnswer: -360987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 9*n + 9. Let g be o(6). Let q = 105 + -33. Suppose 2*a - q = -5*i - 0*a, 0 = -2*i + a + g. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15493593 divided by -263\nAnswer: -58911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1040 and 13680.\nAnswer: 177840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.16, 26, 126\/17, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6552\/(-70))\/(-26))\/((-5)\/((-75)\/6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.20131319 - 1.30131272. Let m = 0.9 - o. What is m rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 380\/(-1596)*448\/(-192).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0 + 2\/3*b**3 + 2\/21*b**7 - 11*b - 4\/3*b**4 - 8\/15*b**6 + 0*b**2 + 6\/5*b**5. Factor g(z).\nAnswer: 4*z*(z - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2234031.4 - 44\nAnswer: -2234075.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 0*x)*(47708*x - 92387*x + 59987*x).\nAnswer: -15308*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.1243983 rounded to three decimal places?\nAnswer: 14.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4 - 3*q)*(-q**2 + q**2 + 3*q**4) - 2*q**5 + 2*q**5 + 2*q**5.\nAnswer: -7*q**5 + 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1370 - 1369.999997276. What is o rounded to 7 dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -721*h**6 - 21*h**2 + 9.\nAnswer: -86520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 19*m + 5. Let l(a) = -a**2 + 10*a - 3. What is -3*c(h) - 5*l(h)?\nAnswer: 2*h**2 + 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1280\/(-240))\/(48\/(-189)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 977582532?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-4\/5)*y**(-7))\/((y*y**(1\/2)*y*y)\/y)**10 assuming y is positive.\nAnswer: y**(-151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*c + 35*c + 4*l - 1069, 3*c - 1149 = 6*l. Calculate the remainder when c is divided by 146.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227256?\nAnswer: 2, 3, 17, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 12:35 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2781924082?\nAnswer: 2, 7, 199, 998537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 34*y**2 - 17*y + 286. Calculate f(0).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 3)*(-2)\/(-4). Suppose -o*i = -1 - 5. Suppose i*d + 16 = 2*w, 3*w - 4*d + 0*d - 25 = 0. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*n - 192*n**2 - n**3 + 3*n**3 + 190*n**2 - 2 - 10*n to the form f*n**2 + s*n**3 + l + j*n and give j.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 32046992?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5300*c**4 - 2*c**3 + 4880*c**2 wrt c.\nAnswer: 127200*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -11. Let d be -1 - 3 - -2 - 2. Let f = d + 8. What is the remainder when t is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -36\/11*n**4 + 2\/11*n**3 - 16\/11*n + 14\/11*n**5 + 0 + 36\/11*n**2 = 0.\nAnswer: -1, 0, 4\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 2*k + 1. Let o be s(3). Let p(x) = -41*x**3 - 2*x**2 + 2*x - 1. Let j be p(1). What is the common denominator of o - 171\/j*1 and 97\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*o = -15, -7 = -5*j + o + 11. Suppose k - 10 = 3*m, 3*k + k - 22 = 3*m. Put k, -5, j in decreasing order.\nAnswer: k, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1185 + 14195\/12. Let n be (-2)\/8 + (-711)\/(-1010). Let q = 2\/505 - n. What is the common denominator of q and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33451, 64883, 94301, 121705, 147095, 170471, 191833?\nAnswer: 211181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.5745 = 1210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.26 + -0.06. Let z = 54.23 - 51.23. Which is the nearest to q? (a) z (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d - 1. Let i(o) = o - 1. Let t(s) = -b(s) + i(s). Let p(l) be the third derivative of 0*l + 0*l**3 - 1\/4*l**4 + 0 + 11*l**2. What is t(p(y))?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9556 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: Convert 59130.87 days to hours.\nAnswer: 1419140.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2966 + 1156 - 3780 - 4065 - 1294)*(-6*u + 2*u + 2*u).\nAnswer: 21898*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -1, -5, 5, -228438.\nAnswer: -228438, -5, -4, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from ttnttntt?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 4:12 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 21*z**3 - 10*z**2 + 49*z**3 + 52*z**3.\nAnswer: 122*z**3 - 10*z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 345008949 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 11*z**2 - 2540*z + 12527. Determine t(5).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -2*b**3\/3 - b**2\/2 + 6*b - 193. Let j(f) = -2*f + 6 - 2*f**2 - 3 + 4. Let i(u) = 4*j(u) - 5*o(u). Solve i(z) = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 14531\nAnswer: -4359.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**4\/8 - 35*u**3\/6 - 25*u**2 + 12*u + 4. Give h(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 t when three letters picked without replacement from ttttmtm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1401831*g**2 + 460352 wrt g?\nAnswer: -2803662*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*a + 2895*a - 362*a = 33922 + 2730 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 18*q**2 - 99*q + 7. What is m(6)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 15. Let x be i(9). Let v be (x\/(-4))\/((-564)\/(-16)). Is v at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(-26110*l - 340*l**2 + 26110*l) as f*l + u + z*l**2 and give z.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -5*x + 15, 3*z - 14 = -4*x + 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 13*c**2 + 542*c + 557. Let i(j) = 9*j**2 + 360*j + 371. Let v(d) = -7*i(d) + 5*x(d). Determine r so that v(r) = 0.\nAnswer: -94, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 12:28 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x - 6. Put 1, 1\/11, x in decreasing order.\nAnswer: x, 1, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 + 5*o**2 + 9*o**2 to g*o + w*o**2 + m and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**2 - 99*v + 26*v + 3*v**3 + 55*v = 0 for v.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1023*n + 15376. What is d(15)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 0*l + 1\/12*l**4 + 0 + 1\/2*l**3 - 2*l**2. What is d(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.6 + 7.4. Let v = -0.15 + 0.45. Sort 2, v, h, 5\/6 in descending order.\nAnswer: 2, 5\/6, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 16*t**2 + 16*t - 106. What is r(15)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 19*l**3 + 9*l**2 - 19*l + 4. Let z be r(2). What is the highest common factor of z and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -163 (b) -80 (c) -0.4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 10*p**2 + 9*p - 9. Let v be m(9). Let j be (-2)\/(-3) + 42\/v. Let g(i) be the first derivative of -i**3\/3 - 2*i**2 + 2*i - 1. Determine g(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3166.\nAnswer: 2, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*(-10)\/(-540))\/(3*(-6)\/36).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -22, 743, -4 in decreasing order.\nAnswer: 743, 0, -3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**5\/4 - g**4\/6 - g**3\/6 - 6*g. Let v be m(-1). Which is the biggest value? (a) -1 (b) 1\/4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133053 (base 7) to base 13.\nAnswer: 4cc6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 11:37 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3346*h + 99 = -3335*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 - j**3 - 2*j**3)*(j**2 + 6*j**2 - 5*j**2) + 8*j**5 - 2*j + 2*j.\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7925 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 2*a + (-24 + 99 + 43)*(-3*a + 1 - 1).\nAnswer: -352*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*2\/4*-666574. Suppose -5*u - 3*k = -1470598, -176639 = -4*u + 3*k + i. Suppose v = -u - 175878. Round v to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1352\/7 + 2\/7*w**2 + 104\/7*w.\nAnswer: 2*(w + 26)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-45)\/(-25) + 2\/10. Suppose -93 = x - 6*x + 4*h, 0 = i*x + 4*h - 54. Let k = x + -9. Calculate the remainder when 23 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2.3 (b) -0.09 (c) -1 (d) 13 (e) -2\/5 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 5*i + 2*a - 52, -2*i + 44 = 2*a. Suppose s = -2*k - i, k + 22 = -2*k - 4*s. What is the common denominator of (-10)\/k*44\/8 and -33\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-15) + 141\/(-15). Is 1 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-49))\/(13\/((-442)\/(-51)))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/37661 + -14499341\/903864. Let y = 47\/3 + j. Sort y, -0.7, 1\/11 in decreasing order.\nAnswer: 1\/11, y, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-8)*r**(-19)*r**(-23)*r*r\/(r\/r**(-2\/97)) assuming r is positive.\nAnswer: r**(-4755\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v + 2. Suppose v*q - 30 = -q. Solve -10 = -5*j + q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -13*p - 3. Calculate m(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00074587 to five dps.\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/(-3) + 2\/(-3). Let k(h) be the first derivative of -6*h**2 + 14*h + 134. List the prime factors of k(n).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6*f + 473 = -2*z, 951 = -4*z - 3*f. Let m = z - -241. What is the remainder when m is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1. Let k(i) = -2*i + 12. Let w = 3394 - 3393. Determine w*k(p) + 2*c(p).\nAnswer: -2*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/33)*d*(d*d\/d**(-7))\/d*d)\/(d*d**(-2\/3)*d)**17)**41)**(-1\/21) assuming d is positive.\nAnswer: d**(820\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 - 7 = 9*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 47454294\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9222820 is divided by 3074265?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -63*i - 117. Let l be h(-2). Solve l - 9 = -20*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let j(p) = 4*p + 21. Let s be j(-6). Let l be s*(-6)\/(-855)*5. Sort b, l, -4 in ascending order.\nAnswer: -4, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 4. Let u(f) = 1. Suppose 0 = 8*b - 46 - 42. Suppose -4*k + q - 6 = 0, -k - b = -0*k - 5*q. Determine k*p(v) + 2*u(v).\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*j - z, -11*j + 7*j - 5*z + 33 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 157bb (base 12) to base 10\nAnswer: 30527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*r = -15, 3*a - 2*a - 15 = 2*r. Let h(l) = l**3 - 5*l**2 + 2*l + 5. What are the prime factors of h(a)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153894\/(-256542) - (-2)\/11 - (-432)\/936.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -723 + 798. Which is smaller: x or 99?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100d (base 16) to base 2\nAnswer: -1000000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/14 and 51\/33434?\nAnswer: 234038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 83851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21704*j**4*w**2 - 23972*j*w**2 wrt j?\nAnswer: -260448*j**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -11. Let q be (i\/12)\/((-5)\/3). Let f be ((-1)\/(-2))\/(5\/12). Which is the nearest to q? (a) f (b) 3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4\/(v*v**(1\/3))*v\/((v\/(v\/(v\/v**(-3\/7))))\/v)*v**(2\/3)*v\/v**(1\/2)*v**(2\/9)*v\/((v\/(v\/((v**4*v*v*v)\/v)))\/v)*v**(1\/12)\/v assuming v is positive.\nAnswer: v**(-73\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 8*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**3\/9 + 530992*x**2\/9 - 1592948*x\/9 + 1061960\/9 = 0?\nAnswer: 1, 2, 132745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1453 divided by 1.\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -2)\/(0 + -1). Suppose a = -u + l - 0*l + 1, 2*l - 10 = -2*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d - 2 - 9*d**3 + 3 + 2*d as k*d**2 + o*d + f*d**3 + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/308 and (2 - (-445)\/(-220))*460\/180?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k + 23626 = 117478. What is the highest common divisor of k and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) -10 (c) 2\/73 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*x = -84, -4*o + 0*x = -x - 127. Suppose y + 2*y = -4*n + 43, o = 3*n + 3*y. Suppose -n = r - 14. Solve r*f = 3*p - 8, 3*f = -f + p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*z**4 - 590*z**3 - 2*z**2 - 317343.\nAnswer: 72*z**3 - 1770*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 1:36 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) 1 (c) -3\/8 (d) -4.2 (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1051717 and 165.\nAnswer: -173533305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 57.21818 nanograms?\nAnswer: 0.00000005721818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39417306.\nAnswer: 2, 3, 31, 67, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lldddldd. What is prob of sequence dddd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 308 + -164. Suppose 0 = 4*l + 5*z - z - 20, -5*z = l - 13. What is the second derivative of -136*m**l + i*m**3 - 6*m + 2*m wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -615, -686, -757, -828, -899?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 29 = 2*o + 2*o, -2 = -z + 3*o. Suppose -12 = -z*y - 2. Let w be 4 - (-2 + 5 + -2). Is w equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 71*k**7\/210 + k**5\/20 + k**4\/8 + 7*k**3\/3 + 56*k**2. What is the second derivative of w(h) wrt h?\nAnswer: 852*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*n**3*u + 21*n**3 + 221578*n**2*u*z**3 - n**2*z**3 - 1590*z wrt u.\nAnswer: 3*n**3 + 221578*n**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -14*j**5 + 2*j**4 - 2*j**3 - 23*j**2 - 2*j. Let r(q) = q**5 + q**4 - q**3 - q. Let m(a) = k(a) - 2*r(a). Find the third derivative of m(g) wrt g.\nAnswer: -960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86159285*g*h**2 - 17*g*h*m - 2*h**2*m - 1875*h*m - 504*h wrt h.\nAnswer: 172318570*g - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - 11) + (3 - -8). Differentiate -32 - 14 - 29 + 5*r - u*r**4 - 43 wrt r.\nAnswer: -28*r**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/36)\/((-4)\/6). Suppose 4*k - 6 = 3*c - 2*c, -5*k = 4*c - 39. Let w = a + c. What is the third biggest value in -0.2, -7, w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 31. What is the second biggest value in 3, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(20\/7)\/(v*v**25) assuming v is positive.\nAnswer: v**(-162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-12)*-2*(-105)\/98.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -g - 10*m + 14*m, 2*g + 5*m - 31 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4\/5 - 54*v**3\/5 - 564*v**2\/5 - 1512*v\/5 - 1248\/5 = 0.\nAnswer: -4, -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4836 is divided by 1528.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 - 130\/(-35). Let u(r) be the third derivative of -r**5\/60 + r**4\/4 - r**3 + 6*r**2. What is the units digit of u(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 8 in decreasing order.\nAnswer: 8, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a**3 + 2. Let l = 31155 - 31151. Let n = 2 + 1. Let c(z) = 3*z**3 + 2 - 4*z**n - 4*z**3. Determine l*m(p) - 5*c(p).\nAnswer: p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izuu when four letters picked without replacement from {b: 1, u: 4, z: 3, o: 2, i: 4}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -26*c**2. Let y be (126\/(-35))\/(6\/(-15)). Let n(f) = 16*f - y*f - 3*f. What is n(k(t))?\nAnswer: -104*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(143) - (2*sqrt(143) + sqrt(143))))\/(sqrt(396)*1).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1680 and -131\/2256?\nAnswer: 78960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - 3\/(-9)*0. Suppose -b*j - 29 + 4 = 0. Let p(n) = -n**3 - 4*n**2 + n - 1. Is p(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by -1051793.\nAnswer: 56\/1051793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.7 - 0.3. Let z = -16.2 + 16.1. Let q = 0.06 + 1.94. Which is the nearest to z? (a) v (b) -2\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4639 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1. Let g be 16 + -16 + (1 - 0). Suppose -8*y + g = -3*y - 3*s, -2*s = -3*y. Sort y, 3, c in ascending order.\nAnswer: c, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 6*n - 2. Let l be w(-7). Let d = -120 - -130. Suppose -3*q = 2*p + 4, -4*q + 3*q - d = 5*p. Solve 3*a - l - 1 = q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/294)\/(1\/42)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 25 = t, 40*t + 8 = 2*m + 35*t. Suppose -n - m*l + 35 = -6*l, -2*l = -5*n + 209. Calculate the highest common factor of 287 and n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -9.9. Let y = v + -1.6. What is the third biggest value in 3\/2, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116489, 116439, 116389, 116339?\nAnswer: 116289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 383 = -3*z, -p + 498 = 6*z - 2*z. Let h = 249 - z. What is the third derivative of 2*j - 140*j**2 + 7*j**3 - 2*j + h*j**2 wrt j?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**7*o)*o**(6\/5)\/o*(o*o**(-2\/5))\/(o*o\/(o**(1\/8)\/o)*o) assuming o is positive.\nAnswer: o**(-403\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 j when four letters picked without replacement from {j: 16, a: 4}.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13122030 (base 4) to base 11.\nAnswer: -2088a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -54, 0.5.\nAnswer: -54, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37643776 rounded to two decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672750.\nAnswer: 2, 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -3*v - 10 + 3*v**3 - 2*v**3 + 3. Determine m, given that w(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -488419, -976661, -1464903, -1953145?\n\"Answer: -488242*b - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 - -52. Let s = f + 57.9. Let y be -1 + 1 + (-20)\/(-12). Is y greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 564685 (b) 4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(252)*-2 + 5)*1)**2 + -4*sqrt(252)*-1 + (2*sqrt(252))**2 + 4).\nAnswer: -2045 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 0, 45 in decreasing order.\nAnswer: 45, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5473 - 5468. Let q(v) = 2*v**2. Let l(m) be the first derivative of m**3 + 4. What is c*l(g) - 4*q(g)?\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*k - 4 = 1, 4*k - 7 = -5*b. Let d be ((-4)\/6)\/(4\/6). Sort d, b, 0 in decreasing order.\nAnswer: b, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 15, -115, -371, -795, -1429, -2315?\nAnswer: -3495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/u**(-7))))**(10\/9)\/(u\/u**(-2)*u\/(u\/u**2)))**18 assuming u is positive.\nAnswer: u**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 i when three letters picked without replacement from {d: 9, i: 2}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 4, 2491, -12 in decreasing order.\nAnswer: 2491, 4, -12, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28762 is divided by 9581?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**3\/4 + 1043643*o**2\/4 - 29748615*o\/2 + 14613396 = 0?\nAnswer: -347938, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/16*438\/657.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.31? (a) 0.1 (b) 3 (c) -1.2 (d) 5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 188*c + 476392 - 465300 for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/6 and -51\/208.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397340 is divided by 644.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 + -1.7. Let b = -2.8 - 2.2. Put b, 0.5, a in decreasing order.\nAnswer: 0.5, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 890 and -0.0304.\nAnswer: -27.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 2 (c) 1\/12895\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/18 or -0.1?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -35494+-305\nAnswer: -35799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 + -207. Let t = s - -125.7. Which is the closest to -0.1? (a) -0.3 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, q: 1, f: 1}. What is prob of sequence iif?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 270*l**3 - 3*l + 2. Let a = 6 - 5. Calculate the remainder when m(a) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 12*h**2 - 21*h + 112. Give v(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -5*s**4\/24 + 8*s**3 - 10402*s**2. What is t(16)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/13))\/d**(3\/2))**(2\/111) assuming d is positive.\nAnswer: d**(-17\/1443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -71. Let r = -33.6 + u. Let k = r + 0.3. Round k to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 10, 5*i - 15 - 10 = -5*h. Are h and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(200) - (0 + sqrt(200)))**2 - sqrt(200)) + -1 + (sqrt(648)*1)**2 + 1*sqrt(288).\nAnswer: 2*sqrt(2) + 646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002526481253 rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10*-28.81953\nAnswer: 288.1953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 2)*(-11*g**4 - 26*g**3 + 26*g**3 + 3*g**2).\nAnswer: 77*g**4 - 21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 723?\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6144 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -2)*(-2)\/(-4). Suppose j*p - 10 = -5*p. Suppose 4*x = -2*n - p, x + 5 = -0. Solve -4*k = -2*h + 2, 4*h + 4*k = -h - n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 157*x**3 - 76*x**3 + 4*x - 72*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q - 55. Suppose 4*v = q + 181. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.389 + -0.47. Let m = -5.081 - p. Let r = -7 - m. Is -5 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - o = -3*o, 4*g - 5*o = 0. Suppose -6*b + 16 = -2*b, -5*j - 2*b + 23 = 0. Suppose -4*m + 4 = j*z, m = 5*z - 4*m - 30. Solve -z*s + s = g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 24346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/26*30\/(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h**2 + 6*h - 2. Let k(y) = -9*y**2 + 7*y - 3. Determine -3*f(r) + 2*k(r).\nAnswer: 6*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 - l + l - 2*l**5 + 3*l**5 + 0*l**5 + (2*l**3 + 0 + 0)*(-1 - 2*l**2 + 1) + 2*l**5 - 4*l**5 + 0*l**5 - 87443 + 87443 + 186*l**5.\nAnswer: 183*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -51, -58, -89, -156, -271?\n\"Answer: -2*x**3 + 7*x - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -451 + 4925\/11. What is the common denominator of 50\/7 and p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 2\/5, 1, 7303, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -134, -196, -258?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 35. Suppose 2 + 2 = n. Suppose 5*v + 13 = 2*q, n*v + z = -5*q - 22. Let u(p) = -2*p. Let b(c) = 2*c. What is q*u(m) - 5*b(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/4363596 and -77\/1212110.\nAnswer: 21817980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 14\/221?\nAnswer: 14\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 11*w + 4. Let n(j) = 1. Let q be (-10)\/(-8) - 56\/(-32) - 1*2. What is q*a(f) - 2*n(f)?\nAnswer: 11*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*v - 13 = 0, -3*v + 0*v - 7 = 2*h. Sort -5, h, 8, -2 in increasing order.\nAnswer: -5, -2, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:07 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*s - 9 = 0, 0 = -4*b + 5*b + s - 3. Suppose b*f + 7 - 28 = 0. Solve -4*q + f*n - 3 = 2*n, -4*q + 9 = -n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12016430 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 16*r + 6. Let a be (-12)\/2 + (-15)\/15. What are the prime factors of g(a)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 8*i + 9. List the prime factors of r(-7).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 7*i + 441 = -3*i, 3*i + 735 = 5*f. What are the prime factors of (270\/(-35))\/((-3)\/f)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2943699585?\nAnswer: 3, 5, 196246639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008741 to 4 dps.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 4 + 5)*(-2 - 3 + 6) - 4 - 3 + 5 - 1 - 3 + 2 - 1 + 0 - 1)*(-1 + 8 - 2)*(-5*c**4 + c**4 + c**4) to a*c**3 + u*c**2 + w*c**4 + d*c + z and give w.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21490, 21129, 20762, 20389, 20010, 19625, 19234?\n\"Answer: -3*f**2 - 352*f + 21845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480.461139 rounded to 1 dp?\nAnswer: 1480.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 153*a - 38. Let l(h) = -102*h + 26. Determine 7*l(s) + 5*o(s).\nAnswer: 51*s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103372812?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 12508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22634.\nAnswer: 2, 11317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/(-30)*(-1050)\/18. Which is smaller: g or 212?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4 - 31\/992*-16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-6 - -6 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 2. Suppose 2*x = -4, -2*x - 3 - 1 = -3*d. Suppose d*r + 1 = -r. Let v(h) = h. What is r*l(c) + 2*v(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3097?\nAnswer: 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.755424 times 4?\nAnswer: -527.021696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 111011?\nAnswer: 110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 235\/2223361?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 0 - -22) + 25 - 11?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/18968 and 77\/20?\nAnswer: 94840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -0.3, -0.2, 3\/4, -9401, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1607415 and 143925.\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -3*f**7\/70 + f**5\/20 + 8*f**2 + 34*f. Let v(u) be the first derivative of y(u). Find the third derivative of v(h) wrt h.\nAnswer: -216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944252?\nAnswer: 2, 236063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -7*g + 3*g - 5, 4*g + 7 = -1210*w + 1211*w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/5 - 156*m**2 - 774*m\/5 + 1556\/5.\nAnswer: -2*(m - 1)*(m + 2)*(m + 389)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (1 - (-2 + -2 + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 15792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 23?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689.4611 centuries to decades.\nAnswer: 6894.611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 1, 2, -4, -449 in increasing order.\nAnswer: -449, -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p = 21 - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40352, 40539, 40726, 40913?\nAnswer: 41100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1. Suppose 4*m = 3*d - 8, -5*m + 3*d + 0*d = 7. Suppose 3*u - 3*q = 3, -2*u + 5*q - 4*q = m. Let v(p) = -p + 1. Calculate u*v(n) + 2*i(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -9. Let q = -0.002 - 3.498. Let w = q - o. What is the nearest to 1 in w, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1376*o - 1518*o - 284 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdqddttq. Give prob of sequence qtqd.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (-6 + -18 + 8 - -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h\/h**(-26))\/h)\/(h\/(((h*h\/(h\/h**(2\/9))*h)\/h)\/h)))**40)**(-50))**(-37) assuming h is positive.\nAnswer: h**(16798000\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.85 - 63.05. What is j rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**(1\/35)*y)))\/(y*y*y**6*y)*(y\/(y\/y**(2\/41)))\/y**(-3\/2) assuming y is positive.\nAnswer: y**(-18433\/2870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1408521129071 + -1.51.\nAnswer: 1408521129069.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 - 19*h - 33 + h**2)*(-4*h + h + 2*h) as c*h**2 + t*h + u*h**3 + x and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -0.15, 22\/21, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - l**2 - l + 1. Let f(a) = 3*a**3 - 8*a**2 + 3*a + 6. Let x(c) = f(c) - 4*k(c). What is x(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t + 0*t)*(0*t**4 + 2*t**4 + 0*t**4) - 2*t**5 + 4*t**5 - 4*t**5 + (0*t - 2*t - 2*t)*(-t**4 + 4*t**4 - 5*t**4).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -y + 2, 0 = -0*r - r - y + 2. Suppose h + 4*h - 45 = r. What is the remainder when h is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9434608999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 4*j. What is the units digit of 4 + (-9)\/3 - j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670158 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23684 - 4465. Let s = 28123.957 + r. Let v = s + 25. Round v to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 4*w + 80, 8*w + 42 = -12*d + 23 - 133 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.097776861 to three decimal places.\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 104294628*a. Let j(y) = -3*y**2. Determine j(p(v)).\nAnswer: -32632108288975152*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzpzzpzpzzzzpp. Give prob of picking 4 z.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q + 7*q - q**3 + 5*q**3 - 5*q**3 - q**3 + 3*q**3 - 5*q**3 + q**3 + (0*q**3 + q**3 - 3*q**3)*(2 + 0 - 4) - 3*q**3 + 4*q**3 + q**3 - 5 + 5 - 2*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63378941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*q + 55*q - 297. Suppose q*c = 1550 - 83. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/14679 + 3977971\/278901. Let f = 535\/228 - g. What is the common denominator of f and 107\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107020 by -53510.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -8*p + 61. Let n be b(7). Let u be (1 + n)\/(42\/28). Suppose 974 = u*i + 2*v, 3*i + 5*v = v + 743. List the prime factors of i.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*u = -214454, 428920 = 50*v - 46*v - 3*u. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588 - 396 = -4*n. Suppose w = 5*o - 512 + 110, 3*o = 3*w + n. Calculate the greatest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 166*c - 1022. What is k(6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -597\/104903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(sqrt(300) + 0) - ((0 + 1 + sqrt(300))**2 - sqrt(300)) - ((sqrt(300) + -2*sqrt(300) + -4)**2 + 4)*-4).\nAnswer: -3916 - 1120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*s**2 - 3*s**2 + s**2)*(-3 - 10 + 0) + 0*s**2 - 8*s**2 - 2*s**2)*(5 - 2 - 1).\nAnswer: -46*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421262*t - 210629*t - 210635*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (-144)\/30)\/((-12)\/640). What is the greatest common divisor of 704 and h?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*w = 276 + 4, -4*t + 2*w = 304. Let o(h) = -2*h**2 + 8*h + 6. Let a be o(9). Let y = t - a. Calculate the smallest common multiple of y and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 69 = 3*y - 54, -4*k + 4*y = -20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1395 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(22)\/sqrt(275) + 6*sqrt(72)\/sqrt(9).\nAnswer: 3 + 61*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20804 + -20807. Suppose -3*v + 3 + 6 = 0, 2*z + 5*v = 13. Let c(k) = 0*k + k**2 - k - 4 + 2*k. Let b(q) = 1. What is u*b(g) + z*c(g)?\nAnswer: -g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate z**4 - 9021617*z**3 + z**2 + 309477969 with respect to z.\nAnswer: 4*z**3 - 27064851*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -463*h**8\/56 + 29*h**5\/4 - 883*h**2. Find the third derivative of o(n) wrt n.\nAnswer: -166680*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 6615?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -33*i**2 + 49*i - 35. Let p(v) = -6*v**2 + v - 1. Let n(g) = -h(g) + 5*p(g). Determine n(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 180*l + 879 = -1031. Suppose -d + 0*d + 50 = 0. Calculate the greatest common factor of d and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4)*t*t)\/t)**16\/(t**1\/t**2) assuming t is positive.\nAnswer: t**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 0)\/(-4)*-4. Suppose 0 = -5*p + 1 + 4. Let i(z) = 2*z + p + 2*z + 0. What is i(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - 6)*(451523 - 451523 + 528*v**2) in the form m*v**2 + j + w*v and give m.\nAnswer: -2640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t = -h - 14, 5*h = -4*t - 6. Suppose h*w = 3*w - 528. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 1. Let w be t(5). Is 244\/w + 32\/(-48) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 15, -4*q = -4*l - 5566 + 1638. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1004617?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9064*j**5 - 59*j**2 + 41*j wrt j?\nAnswer: -543840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39714*o**2 + 42*o - 74?\nAnswer: -79428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 17249*z + 4795229. Give k(-278).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 7:07 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -608683, -1217347, -1826011?\n\"Answer: -608664*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24862981823 and -2597.\nAnswer: 24862979226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0*j. Let a(d) = j + 2*d + 0. Let h(p) be the first derivative of -3*p**2\/2 - 1. What is a(h(w))?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1159051 or -2318103\/2?\nAnswer: -1159051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2667)\/2*(-18)\/27 - 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (0 - 1)) + 0 + (112893 - 112789)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 8. Suppose -q*k + 24 = k. Suppose 0 = c - 5*w - 31, k*c - w = -2*w + 166. What are the prime factors of c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/1014 and -53\/23361?\nAnswer: 607386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(1 + 5)*-7073*(-1)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 50.29614 minutes?\nAnswer: 0.034927875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - ((-7)\/1)\/1. Suppose o = -d + 17. Let n(s) = 38*s**3 - 2*s**2 + 3*s - 2. What is the remainder when n(1) is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(2)*2))\/(2*sqrt(12)*6) + -1 + (sqrt(300) - (sqrt(300) + -1*sqrt(300) + 2)) + -3*((-2*sqrt(108))**2 - sqrt(108)).\nAnswer: -1299 + 673*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063 is divided by 133.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1791731 to the nearest integer?\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 237879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*a - 3. Suppose 3*i - 10 = 4*r - 146, 3*r - 97 = i. Suppose -r = -3*p + 2*p + s, a*s - 4 = 0. Is 19 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 10*p - 26. Let b = -10 + p. Let t = 730 - 656. What is the smallest common multiple of b and t?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umqqmqjqqqqqmmmmuq. Give prob of sequence mmu.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222202102 + 2?\nAnswer: 1222202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 461156, 922325, 1383496, 1844669, 2305844, 2767021, 3228200?\n\"Answer: p**2 + 461166*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 4*u + 5*u)*(6 + 4*u - 6)*(4 - 4 - 2*u + (-3 + 1 + 0)*(5*u - u - 3*u) + u - 2 + 2).\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r + 320. Suppose -30*t - 15 - 200 + 1235 = 0. Calculate j(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 9. Let s(d) = d**2 - d + 2. Let t be s(j). What are the prime factors of (-136)\/(-22) + (-4)\/t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvjvvrjjvjrjj. Give prob of sequence vr.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - (-1 - (2 + 8))) + -15 + -23?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 1, t: 1, r: 1, n: 1}. What is prob of sequence rr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4797 + 603 = 6*q + 144*q. What is the greatest common factor of 1812 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 315*m**2. Let c(q) = 37*q**2. Suppose -4012 + 2170 = -159*p + 4836. Give p*c(a) - 5*d(a).\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(1\/4)*u)**4\/(u**(-10)*(u*u\/(u**(-2\/19)\/u))\/u) assuming u is positive.\nAnswer: u**(397\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*2 - 0*5\/55. What is the tens digit of -46*(-30)\/s*(-3 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**15*u**(-3\/17)\/u*u*(u**12)**6 assuming u is positive.\nAnswer: u**(1476\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25264630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 37, 57, 77, 97, 117?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p*u**3 - 5*p*u**2 - 2026*p*u - 17117*p + 12587*u**3 - 194*u**2 wrt u.\nAnswer: 6*p*u - 10*p + 75522*u - 388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {w: 2, k: 1, a: 1, h: 2, x: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 4. Let i be d(-8). Let s = i - 14. Does 7 divide (-44)\/(-6) + (-2)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 1158*h + 138100. Calculate m(-135).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1379973, 1379974, 1379975, 1379976?\nAnswer: 1379977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20189.3 rounded to the nearest one hundred?\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*v, 2*h + 9 = 4*h - v. Suppose h*u + 1 + 20 = 0. Suppose -4*x + 4*g - 2 = 6, -x - 3*g - 22 = 0. Is x less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 152.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -522*j**2 - j - 3. Let w(l) = 7470*l. What is w(q(f))?\nAnswer: -3899340*f**2 - 7470*f - 22410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 2*o**4 + 0*o**2 + (1134*o + 2692*o**3 - 1134*o + 4472*o**3)*(0 - 3 + 1)*(-3*o + 0*o + 2*o).\nAnswer: 14330*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19976\/129675 + -2\/9975. Suppose -3*r - 31 = 5*z, 2*r - 5*z - 5 = 16. Which is the third biggest value? (a) 0.1 (b) -4 (c) m (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -564514 (base 9) to base 8.\nAnswer: -1224031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + g**2 - 3*g**2)*(2 - 6 + 3) + 2*g**2 - 3*g**2 - 12*g**2 + 2*g**2 + 6*g**2 - g - 4*g**2 - 2.\nAnswer: -5*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 524633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200211 (base 3) in base 14?\nAnswer: a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/785 (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 353207004 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/2*(-3 - -1). Let i be (7 - (0 - -5))\/(-2*1). Sort n, -3, i.\nAnswer: n, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 118 = 34 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, l: 8, e: 2}. Give prob of picking 2 o and 1 l.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-3) - 1300\/(-15) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1226167, 1226200, 1226233, 1226266, 1226299, 1226332?\nAnswer: 1226365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*x - 222*x - 396*x + 210*x + 203*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -267753 (base 8) in base 15?\nAnswer: -1cd92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -992 (base 11) to base 8\nAnswer: -2246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*y = -48*y + 5*v, 0 = -3*y - 2*v - 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 = 3. Suppose 8*y - 3*y + 5*b - 30 = 0, n*y = b + 38. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t + 66*t = -72 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1763\/7 + 252. What is the closest to 1\/4 in -7\/4, s, -2, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/5, -2, 2, -6\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/((-1)\/(-4)))\/(-51 + 50). Let t = -9 + 15. Suppose -t*r = -3*r + 4*f + 32, 5*r = -3*f - 35. Which is the nearest to 2? (a) d (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, -4, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -5. Let x be 4 - 2 - (k + -3). Which is greater: x or -3\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -13*k**3\/3 + k - 654. Let i(g) = -2*g**2 + 3*g**2 + 2*g**2. Give l(i(s)).\nAnswer: -78*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 40.1. Let z = 4.9 + y. Which is the nearest to -0.1? (a) -3 (b) -5\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2\/11, 12.\nAnswer: -2\/11, 12, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*w + 14, l = -3*l - 5*w + 31. Suppose -k - 3 = -l*k. Which is the nearest to k? (a) -2 (b) 3\/4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12129643 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 + 22*d**2 - 65*d + 451. Let n be r(10). Is n > 1\/12325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -405032 (base 12) to base 6\nAnswer: -33304102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5981 + 17975 - 131*c - 5998 - 5996.\nAnswer: -131*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16465 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/11)\/r*r)\/r**(2\/19))\/((r\/(r\/((r\/(r**(-1)*r))\/r*r))*r*r)\/r*r*r*r**(-9)) assuming r is positive.\nAnswer: r**(1004\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -162 - -167. Suppose 6*w - 5*n = 8*w - 5608, -a*n = w - 2799. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**2 + 105944*l - 701508196 = 0. Calculate l.\nAnswer: 13243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 8*q - 696. Let v = q + -93. Suppose -2*t = 4*w - 86, 0 = v*w - 11*w - t + 112. Solve -5*y - 3*b - w = -4*b, 3*y + 19 = -2*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41\/11? (a) 211 (b) 0.3 (c) 0 (d) -2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -68*j - 21. Let r(f) = 68*f + 25. Give -5*r(d) - 6*y(d).\nAnswer: 68*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 9*r - 16. What is the units digit of f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - q - 5. Let t(r) = 4*r**2 - 4. Let u(c) = c**2 - 1. Let i(g) = 2*t(g) - 7*u(g). Determine -4*i(x) + z(x).\nAnswer: -2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**3*p**2 + 7028*n**3*p*v**2 - 3*n**3*p*v + 28972*n*p**2*v**3 + 6*p*v**3 wrt p.\nAnswer: 6*n**3 + 57944*n*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 16*q**2 + 16*q - 17. Let t be k(-17). Suppose -12*n = -t*n - 240. What is the highest common divisor of n and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -479*d. Let g(j) = 575 + 0*j**2 - 575 - 4*j**2 + 19*j**2. Give g(k(o)).\nAnswer: 3441615*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (2*sqrt(833)*2 - sqrt(833))**2) + -2*sqrt(833) + -2 - 5*((sqrt(425) - sqrt(17)) + 5 - (sqrt(34)*1)\/sqrt(2)).\nAnswer: -7524 - 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18526, -37055, -55588, -74125, -92666, -111211?\nAnswer: -129760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 9\/62, 23, -0.04?\nAnswer: 9\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 30. Calculate the remainder when k is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48078?\nAnswer: 2, 3, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwdkddwkmwmmmkdd. What is prob of sequence mkdd?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3352 and -91\/160.\nAnswer: 67040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**2 - 2*y**2 - 7*y**2)*(0*y - 3*y + 2*y)*(221 - 6*y - 221) to p*y**2 + s*y + h + r*y**3 + b*y**4 and give b.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 18*g - 43. Let a be f(-15). Solve -4*i - a = -6*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(-5 + sqrt(684) + sqrt(684) + -5 - sqrt(684) - sqrt(684))*-6)**2.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22814*y = -22711*y - 5459 for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 78, -5, 7, -6 in decreasing order.\nAnswer: 78, 7, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 22*m - 22. Let y be d(-9). Solve 2*g = -2*j + 2, 2*g - 3*j - 5 + y = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 (base 16) in base 15?\nAnswer: 36b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + -1. Let a = r + 14. Calculate the least common multiple of 4 and ((-10)\/a)\/(1\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9716 microseconds in nanoseconds?\nAnswer: 5971.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 5*z + 23. Let q = z - 9. Suppose 0*d + 9 = q*d. Solve 2*o + 9 = -3*w, 6 = -4*o + d*w - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -31. Let s be i*((-34)\/(-4) + -3). Let z = 121 - s. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 239*o**2\/2 + o - 14. Is h(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**3 + 2*u**2 - 3*u + 2. Give z(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -231276 (base 12) in base 11?\nAnswer: -35424a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 2*p**3 - 4*p**3)*(25 - 66 + 25).\nAnswer: 64*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -15*d - 4. Let j(n) = 14*n + 5. Let m(x) = -5*b(x) - 4*j(x). Let f(l) = -l + 2. Let w(s) = 3*s - 5. Let p(y) = 5*f(y) + 2*w(y). Determine p(m(o)).\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**5 + u**4 - u**3 - u. Let h(r) = 4*r**5 + 4*r**4 - 4*r**3 - 13*r. Let l(a) = -h(a) + 4*j(a). What is the second derivative of l(d) wrt d?\nAnswer: -160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ggpgggppgpgp.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1739.\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30916, -30911, -30904, -30895, -30884, -30871?\n\"Answer: l**2 + 2*l - 30919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-2)\/(-21) - (-542)\/14. Suppose -54*h = -n*h - 75. Solve -3*t - 3*v + 3 = 0, -t + 23 = -2*t + h*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 12. Let s = 22 - t. Let d = -9 + s. Solve -f - 12 = d*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 + 0.1. Let n = 21.7 + -22. Which is the smallest value? (a) n (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 33, 81, 157, 267?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*d - 17*d - 2*d)*(-20*d + 2*d - 2*d) - d**2 - 6 - 3*d + 6.\nAnswer: 779*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 10:33 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 5*m - 169. Let g = m - 15. What is the lowest common multiple of g and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1719 - 1717. What is the smallest value in -9, l, -1\/29, 3\/4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 276 - -87. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-3*sqrt(4617)*3)\/(-1*sqrt(108)*-1 + sqrt(108)*-1*-5))**2.\nAnswer: 38475\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 3:26 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 454, 0.5, -0.5, 0, 325?\nAnswer: 454","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707340.8 weeks to seconds.\nAnswer: 427799715840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Let n(c) be the third derivative of 0*c**4 + 0*c + 1\/60*c**5 + 3*c**2 + b + 1\/120*c**6 + 0*c**3. Factor n(p).\nAnswer: p**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*d = -6, d - 2*d + 3 = 0. Let p be -1 + 14\/5 + n. Let y = -26.3 - -23.3. Which is the closest to 0.1? (a) y (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (110\/(-8) + -4)*4. Let d = -42 - x. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yck when three letters picked without replacement from {k: 1, y: 1, c: 2, b: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4*2\/(-12)). Let u = g + -5. Let k be -3 + 3 - 0\/1. Is u != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 8 - 1\/1. Suppose -n*s - 5*i = -2*s - 52, -s - 2*i + 52 = 0. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*n - c, -5*c + 25 = 2*n + 33. Sort -2, 9, n in ascending order.\nAnswer: n, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -553, -534, -489, -406, -273, -78, 191?\n\"Answer: 2*p**3 + p**2 + 2*p - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 348336 divided by 1968\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2) + (-3)\/(-6). Let b(i) = -i - r*i + i. Let s(g) = -2*g + g + 2*g. What is s(b(h))?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, a: 1, i: 3, n: 2, w: 1}. What is prob of picking 2 i and 1 f?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181398.518 - 181108. Let p = -0.518 + t. Let v = p - 289.857. Round v to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 1. Let k(n) = -16*n + 4. Determine 3*f(t) + k(t).\nAnswer: -13*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 16*z - 11. Let r be m(-6). Suppose 12 = -r*y + 38. Factor 5\/2 - 5\/4*x - 5\/4*x**y.\nAnswer: -5*(x - 1)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11086 and 4086878?\nAnswer: 93998194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 126 - 144 = 0. What is the remainder when 38 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 52 = 15*k. Let l = 62 + -57. Solve -l*d = -k*d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -27, 3\/2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 3742440642.\nAnswer: 3742440641.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26*1 + (5 - 9). Suppose -3 = -4*g + 105. Let c = g - x. Solve -2*y = 3*y + c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 40*g + 51 = 41*g, 0 = -10*f + 3*g + 111 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179 - 700 - 5*g + 521.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h - 62. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -50 in descending order.\nAnswer: 4, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/29 + -89\/58. Let l = 4 - 3.9. Let x = -4.9 - l. What is the second smallest value in x, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 0*v + 5*v - 12, 0 = -5*k - 2*v + 48. Let s be ((-476)\/k - -1)*-2. Is 2 + 1*(s - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 14610?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 + 338 = 176*n - 98. What is the highest common factor of 2128 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-800)\/40*2\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124184 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 0) + 35\/(455\/(-78)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3) + 2)**2 + 5.\nAnswer: -8*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*i - 2476 = 5151 + 5887 for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5353949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o = -20. Suppose -5 = l + 5*z, o*z = 5*l + 6 - 41. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -591\/2 - -268. Which is smaller: -28 or o?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210502393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38124.13ml to litres.\nAnswer: 38.12413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2 - 23281500*w + 46562992 = 0.\nAnswer: 2, 11640748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xutlc. Give prob of sequence xcl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 2*f - 828 + 10*f + 516 + 312.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**5\/10 - 91*h**4\/12 + 49*h**3\/6 + 3*h**2\/2 - 415*h - 1. What is the second derivative of c(s) wrt s?\nAnswer: 12*s - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 28*d - 210*d**2 + 210*d**2 + d**3 as c*d**3 + t*d + l + w*d**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 225, 226, 227, 228, 229, 230?\n\"Answer: c + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/13 (b) 2 (c) -0.1181 (d) 0.2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 140. Let r = -68 - i. Calculate the greatest common factor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5 = 5. Suppose -3*u = -b*u - 2. Solve k + u = 2*k, 0 = -5*i - k + 17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.16 from 0.4.\nAnswer: 5.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*w - 515 + 515)*(3*w**2 - 3*w**2 + 3*w**2).\nAnswer: 105*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-15 - 0 - (-156 - -135)) + 10 + 5?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - 28*u**2 - 25*u - 58. Let y be n(-11). Are -508 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 100*u + 800. Calculate l(-7).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-121)\/22 + 3 + (-333)\/(-6) + -6 - 3?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11299511.\nAnswer: 11299511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-248)\/12 + 2\/12. Let q = r - -85\/4. Put q, 0.1, 1\/5 in decreasing order.\nAnswer: q, 1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -19*t + 14*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 6:42 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 10*y**2 - 11*y - 1061. Let m(c) = c**2 + 2*c - 1. Let z(d) = -4*m(d) - r(d). What are the prime factors of z(0)?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(2*s + s - 4*s) + 0*s + 105*s - 596*s.\nAnswer: -490*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2. Let y(s) = s + 24. Calculate 22*o(p) - 2*y(p).\nAnswer: -2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.42 and 4.\nAnswer: -5.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -721, -722, -723?\n\"Answer: -p - 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 10 = 0, -64 = 5*b + 2*t - 14 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -306.3 - -279. Let g = -27 - k. Let m be (4\/(-6))\/((-4)\/(-6)). Which is the nearest to -1\/3? (a) 1 (b) g (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2480, 4963, 7446, 9929?\nAnswer: 12412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 154923 = -154949 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1965\/2*6\/9. Let v = -449 + i. Let f = v + -127. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 6 + 4*i**3 - 3*i**3 - 4*i + 5*i**2. Let c(j) = j**3 - 225*j**2 - 474*j + 4536. Let f be c(227). Determine q(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 - 4295*n**2\/4 - 99799*n\/2 - 95502.\nAnswer: (n - 4341)*(n + 2)*(n + 44)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 899 - 895. What is the remainder when 53 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)*m**(-8)\/m)\/(m**(2\/7))**(2\/133))\/((m**(-1)*m)**6\/(m**(1\/3))**(-31)) assuming m is positive.\nAnswer: m**(-59596\/2793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.051 + 13.051. Let h = 13.5 - a. Sort h, -4, -1, -3 in descending order.\nAnswer: h, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.3, -1\/4, 1.\nAnswer: -3, -0.3, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -103*j + 38. Let f be w(-6). Suppose -2*c - f = -4*d, -2*c + 6*c = 5*d - 820. Let i = d + -44. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 909828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24894103.\nAnswer: 13, 17, 112643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*b**2 - 23*b**2 - 220*b**3 + 633*b**3 + 44*b**2 + 19*b**2 - 15*b wrt b?\nAnswer: 2478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205250.\nAnswer: 2, 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = r - d, 52755*d = -4*r + 52785*d + 30 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -i - 1, 2*h + 5*i + 17 = 0. Let t = 8 + h. Which is the closest to t? (a) -1\/2 (b) 4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 29*h + 34. Calculate p(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 times -7845\nAnswer: 25888.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 6.6, -0.2 in descending order.\nAnswer: 6.6, -0.2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 196 = 2*j - 3*i, 3*j = -5*i + 304. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*i + 4. Let b be (-24)\/(-6) + (0 - i). Does 9 divide (-93)\/(-2)*b\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -395, -401, -409, -419, -431, -445, -461?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4773691 less than 5?\nAnswer: 4773696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5 = -4*t, 5*t - 2*n = -n + 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -4) + (0 - 1). Suppose m*u + c = 31, 3*u + 2*c = 28 - 11. What is the remainder when u is divided by 15\/(-12)*(-224)\/70?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/19 + 208*z**2\/19 + 2082*z\/19 + 3348\/19.\nAnswer: 2*(z + 2)*(z + 9)*(z + 93)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4\/5)\/(v\/v**(-10\/7)))\/((((v*v*v*v**17*v*v*v)\/v)\/v)\/v)**(-23))**6 assuming v is positive.\nAnswer: v**(95922\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15581 + -162922.007.\nAnswer: -178503.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42387 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olljoojjo. Give prob of picking 1 o and 2 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**3\/3 - 2*k**2 + 4*k - 2. What is t(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 14*y**5\/25 - 8*y**4\/5 + 22*y**3\/15 - 2*y**2\/5 + 5. Factor q(b).\nAnswer: 2*b*(b - 1)**2*(7*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 3*g)*(2 - 2*g - 2) + 2*g - 2*g**2 - g - 3*g - 3*g**2 + 2*g**2 + 2*g**2)*(-3 + 9 + 1).\nAnswer: 35*g**2 - 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*t**2 - 2*t**4 + 21*t**2 + 0*t**4 + 8*t**3 to b + n*t + r*t**2 + c*t**4 + w*t**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 118 = -2*b - 51, 12 = -4*d. Let z(c) = -c**2 + 4*c - 3. Let s be z(6). Let q = b + s. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208536 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78 or -31467?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 6 in ascending order.\nAnswer: 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m - 10. Suppose 3*a = 3 + 3. What is d in -d**4 - d**5 + d**3 + d**2 + a*d**4 - m*d**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162255 divided by 54085.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = h + 2*z - 25, 5*z = -4*h + 85. Let g = 175 + -104. Calculate the remainder when g is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*c**2 + 48*c**2 - 22*c**2 + (4 - 10 - 9)*(3*c**2 + 0*c**2 - c**2) in the form h + p*c**2 + j*c and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/13 - 20*r\/13 - 32\/13 = 0. What is r?\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**7\/7 - 7*z**6\/15 + 763*z**3\/6 - 114*z - 4. What is the second derivative of l(k) wrt k?\nAnswer: 120*k**3 - 168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 32106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v + 2*v. Let r = 10 - 7. Suppose v = -r*n - w, -3*n + 0*n - 3*w = 6. Calculate the highest common divisor of 7 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2714*3.\nAnswer: 8142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 99.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2594724?\nAnswer: 2, 3, 11, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w + 18. Suppose -5*j = -12 + 2. Suppose -w = -3*s + c + j, -2*c - 12 = -3*s. What is the remainder when 11 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150732 take away 0.62611?\nAnswer: -150732.62611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 + 49*r**2 - 1825*r + 5329\/3.\nAnswer: -(r - 73)**2*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 31*m**2 - 28*m - 62. Let f(b) = 57*b**2 - 51*b - 123. Let q(h) = -6*f(h) + 11*o(h). What is q(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19717723 is divided by 586?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 14.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 9:55 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1452.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 327 = 109*t, -t + 2*x - 9163 + 9166 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 2:25 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 138475319 to the power of 1\/3, to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -4, -3, -18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -703*z + 6521. Calculate w(10).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11.74 times 11\nAnswer: 129.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97553361.\nAnswer: 3, 17, 29, 71, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 254*r**2 + r + 2. Let l be c(2). Let j be l\/42 + 6\/(-21). Suppose j*i + 46000 = 28*i. Round i to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 7, l: 2, g: 2, d: 1}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1440 <= -1441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3808 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*(695 + 697 - 1010*v - 1392).\nAnswer: -1010*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2127806 is divided by 382?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnhhwhasanhsw. What is prob of sequence nhw?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 6:36 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/5 (b) 1 (c) -127699\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65653460 - -3?\nAnswer: 65653463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 6 in increasing order.\nAnswer: -4, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 11178.\nAnswer: 78246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -11686626, -3, -4, 0, 2 in increasing order.\nAnswer: -11686626, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**2*w))**(-2\/7)*(w\/(w*w**(2\/5)))**(2\/97))**(-1\/33) assuming w is positive.\nAnswer: w**(-1912\/112035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503769109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1564181 - 4570755 = -142*z + 3166592. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39911 is divided by 3622?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45726*3*1\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020120 + 21?\nAnswer: 2020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 439500 to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22723 + -22714. Solve -10 = 2*b - 3*s, -b - 1 = -4*s + u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36555448261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19a0 + 12?\nAnswer: -198d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 + 14*n - 8. Let s(u) = -752*u**2 + 5*u + 751*u**2 + 0*u - 3. Calculate -3*k(b) + 8*s(b).\nAnswer: b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 4 + 2*d - d - 12.\nAnswer: -4*d - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 201694423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14213*k**6 - 35659*k**2 wrt k.\nAnswer: 1705560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50910 = -117*v + 291432. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6945 by 12.\nAnswer: -2315\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10220411 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.0217665 nanoseconds?\nAnswer: 0.0000000000217665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(6\/5)*d)\/(d*d\/(d*d**(-2\/13)\/d)*d)*(d\/d**(3\/2))\/(d*(((d\/(d**(2\/5)\/d))\/d)\/d)\/d)*((d**(-2\/7))**(-35))**6 assuming d is positive.\nAnswer: d**(7663\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 838501923?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5 + ((sqrt(147) - (-1 + sqrt(147) - sqrt(147)))*-2 + sqrt(147) - (-5 + sqrt(147)*2 + sqrt(147)) - ((sqrt(147) + 2 - sqrt(147)) + 0)*2))**2)*5.\nAnswer: -1120*sqrt(3) + 11830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - 5816\/(-256))\/(3\/(-4)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**6*f**0)\/(f*f**(-1\/3))**(-19\/4))\/((f\/(f\/(f\/(f*f\/f**(-1\/3)*f)))*f**4)\/(f**1*(f\/(f*f**(-6)*f)*f*f)\/f)) assuming f is positive.\nAnswer: f**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*b - 143*b - g = -260*b + 11, -3*b = -16*g - 189 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(32) - (0 + sqrt(32))**2).\nAnswer: -12*sqrt(2) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1021138664 divided by 214.\nAnswer: 4771676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/55 - 111\/(-66). Put -5, 0.9, y in descending order.\nAnswer: y, 0.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z + 60. Suppose 29*g = 35*g - 120. Let v be d(g). Suppose v = 2*i + 14*i - 51200000. Round i to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54245 is divided by 2358?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31119151 is divided by 7813?\nAnswer: 7785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -97. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*f**2 - f - 933 + 933)*(-915 + 262*f + 915).\nAnswer: 3930*f**3 - 262*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*-5*(sqrt(17) + sqrt(306)\/sqrt(2))*3.\nAnswer: 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 66 = -0*v. What is the second derivative of 10*g + 24*g**3 + 1 - 52*g**v - 50*g**3 + 11*g wrt g?\nAnswer: -468*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, i: 2}. What is prob of sequence iy?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(((-20)\/(-11))\/((-270)\/(-495))).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13950.6kg?\nAnswer: 13950600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4536)\/378*(-2)\/(8\/43)*1.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiititottiiiitio. What is prob of picking 1 i, 1 t, and 2 o?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 19*i - 40*i + 25*i. Let h(r) = 3*r - 1 + 1. What is h(c(p))?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2553, 2461, 2315, 2121, 1885, 1613, 1311?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**4 - 95350*a**3 - 4008314*a**2 + 4103662*a = 0.\nAnswer: -43, 0, 1, 47717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-7) - 12\/42. Suppose -3*p = -w + 1, -v*p - 5*w - 15 = p. Is p at most as big as -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199 divided by 4.\nAnswer: -199\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 1\/2 (c) 0.3 (d) -1.01 (e) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r - r - r**2 - 2*r - 1. Let s be (3*5\/45)\/(1\/(-15)). Determine z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.06 (c) 0.025 (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 5 (b) -0.1 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lcaclyqclyl. What is prob of picking 3 c and 1 q?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (104 - 152) + 77 + 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggguggggugu. Give prob of picking 3 g and 1 u.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 8.76. What is u rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -694.62 rounded to the nearest 10?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, t: 5}. What is prob of picking 3 t and 1 b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -55331090+559\nAnswer: -55330531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 q when three letters picked without replacement from {z: 3, v: 3, q: 3, c: 2, p: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22584 - 14638. What is the thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6009 - -6003. Sort 2, -0.8, l, -4 in decreasing order.\nAnswer: 2, -0.8, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-273) - (-31)\/((-465465)\/1976)\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 682850?\nAnswer: 682847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10242*p - 19 = -10244*p + 19*n, -3*n - 3 = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*i - 20 + 1 = 0, 43 = 4*d - 5*i. Suppose 0 = -p + d*p - 648. Suppose b = -2*b, 3*q - 3*b = p. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*d = 632*d - 61*d - 84539 for d.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*h**2 - h**2 + 2*h**2)*(-2 - 5 + 4) + 540 - 5*h**2 - 540)*(-h - 4*h + 6*h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13237*f**2 - 892*f**2 + 4417*f**2 + 2235*f**2.\nAnswer: 18997*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g + 49386 - 49386.\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 0*k**4 + 3*k**2 - 1\/120*k**5 + 0*k + 1\/160*k**6 + 0*k**3 + 1\/168*k**7 + 0. Factor j(l).\nAnswer: l**2*(l + 1)*(5*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8432 is divided by 936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4279?\nAnswer: 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 0*s - 1 - 1\/24*s**4 + 1\/60*s**5 + 1\/2*s**2 + 0*s**3. Let n(w) be the second derivative of z(w). Factor n(l).\nAnswer: l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.3035497 microseconds to days.\nAnswer: 0.00000000016555034375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + k + 10 = -27, 2*k = -3*y - 34. Let x be 0\/((y + 4)\/4). Suppose x*i = 4*p - i - 17, 3*p + 3*i + 6 = 0. Solve -l + 4 = p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20858 in -0.1, -1\/24, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -48*x**2 - 4. Let w(b) = -58*b**2 - 2. What is -6*n(c) + 5*w(c)?\nAnswer: -2*c**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 101100 (base 2) to base 12\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*m - 3 - 4*m**3 - 18*m - 2*m**2 + 5*m**3 - 22*m**4 + 2*m**3 - 20*m to a*m**2 + i*m**3 + c*m**4 + y + l*m and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 61.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -25*o**8\/112 + 115*o**4\/12 - 2*o**2 + 31*o. What is the second derivative of i(k) wrt k?\nAnswer: -1500*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/16*4*(-8)\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3348, 6683, 10020, 13365, 16724, 20103, 23508, 26945?\n\"Answer: u**3 - 5*u**2 + 3343*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -170\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 - p - 3. Let z(i) = -i**2 + i + 1. Let j(r) = -6*r. Let t be j(-1). Let q(u) = t*z(u) + 2*s(u). What is the second derivative of q(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l + 1. Let p(m) = m + 1. Let b(j) = d(j) - p(j). Let o(a) be the first derivative of 2 + 0*a**3 + 0*a**3 - 2*a**3. What is o(b(x))?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 22. Let p = -8 - o. Calculate the remainder when 2*10 - (-6 - p) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71 - 31*m - m**2 + 31*m to k + l*m + a*m**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 881894.\nAnswer: 2, 13, 107, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 98. Let i = u - 39. Let k be 5\/2*8\/30. Which is the nearest to i? (a) 2\/7 (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3251 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 ((-2)\/(-4))\/(4\/328).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -59\/50282 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + q - 1. Let v(d) = 6 - 4 - 1. Give 2*l(a) + 3*v(a).\nAnswer: 2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -25. What is h rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3*5*((sqrt(567) - (2*sqrt(567) - sqrt(567))) + 1 + 2*sqrt(567)*1) + -1))**2.\nAnswer: 7560*sqrt(7) + 510496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 2254.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**3 - 1 + 3*w - w - 2*w**3 + 3*w**3. What is j(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3899*k**2 - 1774*k**2 - 2121*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2271 + 984. List the prime factors of d.\nAnswer: 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.14, 5, -18?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 0. Let k(a) be the second derivative of 1\/2*a**3 - 3*a + 0 + 3\/20*a**y + 0*a**4 + 0*a**2. What is the second derivative of k(z) wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-125)\/4)\/((-4 + -6)\/40). Suppose 3*z = 6*z - 5*q - i, 0 = 4*z + 3*q - 157. Solve 4*m + 4*a + a - 9 = 0, 4*a - z = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2.46 (b) -2 (c) 4 (d) 0.09 (e) 4.349\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 2*l**2 + 2*l + 1. Let j be k(3). Let x = j + 9. Let s(m) = -m**3 + 7*m**2 + 5*m - 5. What is the units digit of s(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1339\/2 (b) -1\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 4*c + 3*z, -z + 295 - 218 = 5*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -8*a + 0 - 1\/150*a**6 + 1\/25*a**5 + 0*a**3 + 0*a**2 - 1\/15*a**4. Factor y(n).\nAnswer: -n**2*(n - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n = -22*n + 208. Sort n, -0.3, 0.2, 0.4 in descending order.\nAnswer: 0.4, 0.2, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + i**2 - 6. Suppose 16 = -4*c, -2*k - 4*c = -23 + 119. Let l = k - -40. What is z(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4 - 0, 76 = 4*r + 5*d. What is the remainder when r is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1030)\/618)\/((-5)\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(3 + (2 + 3*sqrt(162) + sqrt(162) + sqrt(162) - (sqrt(162) - (-5 + (sqrt(162) + 3 - sqrt(162)))))**2).\nAnswer: 5186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 3:20 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*i + 5*b - 3*b, 2*i + 2*b = 0. Let f(t) = -1 - 2*t**i + 5*t + 8 - 5. Let h(m) = 10*m**2 - 24*m - 10. What is -14*f(a) - 3*h(a)?\nAnswer: -2*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -677 by 92014.\nAnswer: -677\/92014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1823431 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*c - 4. Let a(f) = -f**3 + 2*f + 2. Let j be a(c). Suppose 0 = j*x - 79 - 71. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 d, and 1 g when four letters picked without replacement from gigtdigrgg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - 4 + 4)*(66 + 20 - 38) - 16*t + 33*t - 1 - 12*t as h*t + m and give h.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 6:44 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2916760 to the nearest 10000.\nAnswer: -2920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7655 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 t be -3 + 112\/16 - 2. What is the nearest to -4\/3 in t, -0.5, 3\/5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9 - 4\/9*m + 2\/9*m**2.\nAnswer: 2*(m - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7563 - 7543. Let n(l) be the second derivative of -14*l + s*l**2 - 4\/3*l**3 + 1\/30*l**4 + 0. What is o in n(o) = 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 2:55 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 52546, 105230, 157914, 210598?\n\"Answer: 52684*m - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + (-5675)\/(-225))\/((-7)\/(-126)*328\/2)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2284*k**2*y**3 - 372*k**2*y**2 + k**2*y - 5354369*k**2 - y wrt y?\nAnswer: 13704*k**2*y - 744*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -19*0.18\nAnswer: -3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(240) - sqrt(240))\/sqrt(12) - sqrt(220)\/sqrt(44))\/(((sqrt(96) - (sqrt(96)*-2 + sqrt(96)))\/sqrt(2))\/sqrt(192)).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.71 take away -259?\nAnswer: 259.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -20*p + 237. Let q be k(12). Put 4, q, 20, -5 in decreasing order.\nAnswer: 20, 4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2028 * 34\nAnswer: -68952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 1) + (-15)\/5. Let j = 7 + t. Suppose -3*o - 19 = -4*d, o + j*o = -5. Which is the closest to d? (a) -1 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**3 - 497050*x**2 - 12355420000*x - 123504500000 = 0 for x.\nAnswer: -49700, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23490, 29263, 35036?\nAnswer: 40809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -104226 (base 8) in base 13?\nAnswer: -12bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 2. Suppose m*y - 29 - 163 = 0. What is the greatest common divisor of 32 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10214044*t**2*y**3 + 2*t**2 + 2*t*y**3 + 89*t - 33*y**3 - 2*y**2 - 236*y wrt t.\nAnswer: -20428088*y**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3 - 2*y - 4 + 4*y. Let f be ((-8)\/(-8))\/(2\/(-6)). Give s(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 341*a + 73 - 167*a - 175*a + 27 to the form b*a + l and give l.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 2*n - 3*n + (-10*n + 93*n + 21*n)*(0 + 4 + 1) to i + h*n and give h.\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2563504435 to the power of 1\/2, to the nearest integer?\nAnswer: 50631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -9*g**2\/2 + g - 1. Let l = 46 - 33. Let i(f) = -l + 20 + 4*f - 7. What is 5*i(o) + 2*v(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 696 + 15*l - 336 - 360.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (117\/26)\/(2\/4). Suppose -3*u = -g*u + 48. Solve 8 = 4*a - u*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -13. Let w(z) = -z**3 - 6*z**2 - 2*z - 4. Let r be w(-5). Let n = r + x. Sort -1, n, 2 in descending order.\nAnswer: 2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1) - (29\/(-696) + (-1719)\/216).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -5)*(11 - 4) - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -20120\nAnswer: -4024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7099000 rounded to the nearest 100000?\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187 = -9*t - 178 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.043 + 7.043. Which is the closest to 0? (a) 1\/10 (b) n (c) 0.2 (d) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 1. Let m(p) be the second derivative of -p**4\/4 + p**3\/6 - 5*p**2\/2 - 4*p. What is -m(b) - 5*z(b)?\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 2*a - 9. Let f be n(7). Suppose 4*k + 4 = 4*t + 16, 0 = 3*t + 4*k - f. Suppose -t*m + 6 = -2. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7658 - 8?\nAnswer: 7650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 + 25682*x\/3 + 164891281\/3.\nAnswer: (x + 12841)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 2*y + 4. Let x be f(6). Find the common denominator of (166\/(-16))\/(8\/4) and (3\/5)\/(x\/360*-3).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6882*i + 11. Is q(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*a + 8 = 0, -183 + 192 = -3*b - 3*a. Let l(d) = 11*d**2 - d - 2. Calculate l(b).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 10*n - 29. Let h be o(7). Suppose -10*k + h = 1. Let q(z) = -2*z + 25. Let j be q(11). Solve j*i + k*w + 22 = -4, 4*w = 2*i - 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 + 5*l - 20. Let g(v) = -10 - 1186*v**2 + 2363*v**2 - 1176*v**2 + 2*v. Determine -10*g(r) + 4*n(r).\nAnswer: 2*r**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 28*a**3 + 21*a**2 - 15*a. Let u be j(15). Let i be 539227\/u - (-10)\/55. Let b = 4\/1125 - i. Calculate the common denominator of b and 7\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c**3\/7 + 16658728*c**2\/7 + 1651865189570*c + 7708696814116\/7 = 0.\nAnswer: -1388227, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + 3*w + 5*w)*(2 - 4 + 0) + 1 - 2*w - 1 to j*w + o and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*w + 20449*w**3 - 105*w - 112*w.\nAnswer: 20449*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -40.470106?\nAnswer: -161.880424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5 + 2892*k**4 + 21*k**3 - 20262*k**2 + 17352*k = 0.\nAnswer: -3, 0, 1, 2, 964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 124 + 24 = 0. Solve -4*j - i = -0*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*q + 137*q = -53*q + 33330. Calculate the remainder when q is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49.717 - 5.907. Let v = d - 44. Let j = 0.09 + v. Which is greater: j or -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddov when four letters picked without replacement from vdvdfvdvdfodvdvdvd.\nAnswer: 49\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3376 - -23973. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*s - 355 - 55, 5*s = -10. Let m = 227 - k. Is 39 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 1, t: 1}. Give prob of sequence ept.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21018, -21019, -21078, -21243, -21562, -22083, -22854, -23923?\nAnswer: -25338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0087011 rounded to four dps?\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 11. Let v = -21 - -14. Let h be q(v). Let a = 17 + h. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**3 - 3*h**2 - 3*h + 3. Let a(i) = 18*i**3 - 8*i**2 - 8*i + 8. Give -3*a(s) + 8*g(s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*o - 1 + 22 = 0, 0 = 2*n - 2*o - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -39, -64, -79, -72?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79\/21 - 17\/7. Let b be -2 - -2 - (2 + 2). Let s = -6.1 - -3.1. What is the third smallest value in b, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1913, 1917, 1923, 1931, 1941, 1953?\n\"Answer: t**2 + t + 1911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14098 by -371.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p + 15*p + 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 379*y. Let s(v) = 47675*v + 2. Determine s(j(w)).\nAnswer: 18068825*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 - -105. Suppose 6*x - 3*x - 198 = -3*s, -3*s + 206 = w*x. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1, 5\/34, -2\/23, 1.8, -0.2, 1\/4, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3\/5 - 1029*g**2 + 699888*g\/5 - 1297476 = 0. What is g?\nAnswer: 10, 138, 1567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 n when three letters picked without replacement from fnhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626236 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -2, 28, 1 in increasing order.\nAnswer: -2, 3\/4, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n + 3*u - 30324 = 0, u + 1 = 0. Let y = -36673 + n. Round y to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, f: 3}. What is prob of sequence qf?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 0*n**5 + n**3 + 0*n + 0*n**6 + 0*n**4 + 0 - 15*n**2 + 1\/210*n**7. What is the first derivative of f(d) wrt d?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26355 is divided by 13177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/41 in 20, -2, -0.4, 3, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -5*f**3\/3 - 77*f + 1. Let c(m) = -16*m - 2. Calculate c(p(z)).\nAnswer: 160*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z + 1\/6*z**3 - 1\/10*z**6 + 0*z**2 + 1\/4*z**4 - 2 - 1\/20*z**5. Let m(w) be the first derivative of i(w). Factor m(d).\nAnswer: -d*(d - 1)*(d + 1)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017057 to six dps.\nAnswer: -0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, p: 6, d: 1, r: 1, o: 4}. Give prob of picking 1 d and 1 s.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1442 = 329*q + 4151 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-28)\/28*72\/(-15).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1173.6 - -5?\nAnswer: -1168.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-29)\/(-1))\/(-4*(-1)\/4) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111281?\nAnswer: 3, 370427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -17*q**3\/5 - 144176*q**2\/5 + 30535*q - 8482\/5 = 0.\nAnswer: -8482, 1\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/487382 and -13\/417756?\nAnswer: 2924292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 3)*(-1 - 1 + 1) + 4 - 4 + 2)*(0*d + 0*d + 6*d**2).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16088 and -0.2.\nAnswer: 16087.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(3\/2)*m)\/m)\/m)\/(m\/m**(-5)))**(-14) assuming m is positive.\nAnswer: m**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -412 - -439 - (4 + 60)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -28?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - -1d?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -13\/31, 1\/178, 0.1?\nAnswer: -13\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 = -0*s. Find the common denominator of 46\/40 + s\/2 and 3\/(-2) - (-7)\/189*-42.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54600299 rounded to four decimal places?\nAnswer: -0.546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3915400 rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/((-720)\/(-50)))\/((-1665)\/444)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 30, 34, 38?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(14\/9))**(-4\/13)\/(s**(2\/11)\/((s*s\/s**(-12\/7)*s)\/s)) assuming s is positive.\nAnswer: s**(27512\/9009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from {i: 2, q: 7, b: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/11))**(2\/5)\/(x*x\/x**(-2\/25))**(1\/42))**8 assuming x is positive.\nAnswer: x**(-9008\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31849411*s**2 + 39207585 wrt s.\nAnswer: 63698822*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 10:52 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*a - 368 = a, a = -4*g - 368. Let y be ((-30)\/25)\/(-2) + g\/(-5). Suppose -9*c - y = -64. Solve 0 = -c*f - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 313401 and 75669.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 39. What is the remainder when u\/5 + (4014\/15)\/6 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9033*p**2*v**4 - 2*p**2*v**3 + 15*p**2*v**2 - 4*p**2*v - 109*p**2 + v**2 - 2 wrt v.\nAnswer: -216792*p**2*v - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -20024*z - 118. What is the thousands digit of v(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/5)*d\/(d\/(d\/(d**(1\/6)*d))*d)*d*d\/d**(2\/35)*d**(10\/9) assuming d is positive.\nAnswer: d**(1567\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -4)*1 - -200. Let l = m - 599\/3. Suppose o + o = 0. Which is the nearest to 0? (a) -0.2 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b. Let d(i) = 7*i**2 - 782*i + 3. Calculate d(h(q)).\nAnswer: 175*q**2 - 3910*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48045687.\nAnswer: 3, 16015229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 68, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48284 is divided by 4021.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -2*q + 447. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*6\/(-90))\/((-19)\/(-3))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 0 + 4 - 2*s + 6*s - 8*s + 4*s**2. Let p be b(1). Differentiate 4*z**2 - p*z**2 - 5 + 28*z**4 - 13 with respect to z.\nAnswer: 112*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2 = -4*i + 30, -2*p = 2*i - 6. Find the third derivative of 32*q**6 + 5*q**2 + i*q**6 + q**2 + 9*q**2 wrt q.\nAnswer: 4440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941276669 a multiple of 776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*j - 5*g - 9 = 11, -3*j + 20*g + 12 = 17*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102005, -102003, -102001, -101999, -101997?\nAnswer: -101995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5 - 8*i**3 + 6*i**2 + 7*i - 6 = 0. What is i?\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8a + -528314?\nAnswer: -5283a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/180 and -85\/216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9273780 times 2\nAnswer: -18547560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + 0 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) 0.5394 (c) 0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 = 82*x - 78*x. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 = f. Suppose c + 22 = f. Let u = 42 + c. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*a - c + 65, -5*a = -4*c - 56. Let j = -137 + 159. Calculate the remainder when (-13 + 1)*(-1)\/(8\/j) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (250219 - 3259*u - 250219)*(u**3 + 2*u**2 - 2*u**3 + 2*u**3).\nAnswer: -3259*u**4 - 6518*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.2117t to nanograms.\nAnswer: 73211700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11452, 22920, 34394, 45874, 57360?\nAnswer: 68852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**6\/360 - 7*x**4\/3 - 11*x. Let w(y) be the third derivative of s(y). Let a(j) = 10*j. Determine a(w(p)).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6788.\nAnswer: 2, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p + 1. Let s(y) be the second derivative of 136*y + 0*y**2 + 1\/6*y**3 + 0. What is 2*s(t) + w(t)?\nAnswer: 10*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -7*c + 3*c + v, 0 = -v + 4. Suppose -c*a + 20*a = 495. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 = 3*j, 0*l = -3*l + 2*j + 15. Suppose 5*u + 3 = -l. Let n = 32.63 + -32.43. Which is the closest to n? (a) 3 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(18)\/sqrt(3))\/sqrt(3)*5.\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**7\/630 + y**6\/360 + y**5\/60 - y**4\/72 - y**3\/9 + 14*y**2. Factor r(f).\nAnswer: -(f - 2)*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 0.7583\nAnswer: -0.037915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21107\/2 or -10553?\nAnswer: -10553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/28 and -71\/518.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2424 + -1090. Does 46 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3349? (a) -5 (b) -4 (c) 2 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-35) + ((-1104)\/40 - -31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 98 * 421.6\nAnswer: 41316.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5934 = -j. Let t = -1\/493 + -24155\/986. Calculate the common denominator of (-6)\/(-21) + j\/84 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14304 or 26992?\nAnswer: 14304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 42*k**6 + 1636*k**5\/5 + 788*k**4 + 1088*k**3\/3 - 640*k**2 + 192*k - 470. What is t in r(t) = 0?\nAnswer: -3, -2, 2\/9, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 44.2. Let a = 2.42 - 1.7. Let j = a + k. What is j rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 863*j + 5. Let m be s(2). Suppose 401 = -7*g + m. What is the highest common divisor of g and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13515277, 27030553, 40545829, 54061105, 67576381, 81091657?\n\"Answer: 13515276*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 95 = -3*d. Let w = -17 - d. Suppose -w*l + 194 = -2*a, -a + 299 = -0*l + 3*l. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-9 + (-4 - -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*s = 19*s + 6435. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17 and -11.0039672364.\nAnswer: 5.9960327636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-53628.\nAnswer: -21451.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.04663 - 0.04663. What is the second smallest value in 0.3, -0.07, 2\/11, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + 2*h**2 + h**2 - 2*h**2 to c*h**2 + p + q*h and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - k**2 - 13*k + 25. Let z(v) = 36*v + 147. Let x be z(-4). Let y be g(x). Solve -y*h + 4*c = -h - 22, -3*h - c + 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 - 104.9. Which is the closest to -1? (a) x (b) -1 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.212894 less than -0.044?\nAnswer: 1.168894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 21. Let a be (-8)\/44 - p\/(-33). Suppose -w - 5*y + 64 - 16 = a, -w = -4*y - 66. Is 29 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*-2*54\/(-2295)*-187.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27239\/30 - 4434\/5. Let r be (11*2)\/((-114)\/(-28) + -4). Let o = 2152\/7 - r. Calculate the common denominator of o and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 452*v**4 - 4*v**2 + 5*v.\nAnswer: 10848*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06695 + -3.93305. Which is the closest to 4? (a) x (b) 47 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -3*u + 6, 5*z - 661*u = -656*u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*s**2 - 99*s**2 + 213*s**2 - 3*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i = -10. Let s(w) = 2*w - 4. Let t be s(i). Suppose -3*u + t = -6. Solve 2*f - 10 = 0, -f = -3*h + u*f - 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/114 and 115\/18066.\nAnswer: 343254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f. Suppose -2 = -3*u + u. List the prime factors of 10 - ((0 - u) + f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/29848 and 39\/8960.\nAnswer: 4775680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1527641 is divided by 1066.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -u**2*z**4 - 470*u**2 - 63*z**3 wrt z?\nAnswer: -4*u**2*z**3 - 189*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.83 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 171907 in decreasing order.\nAnswer: 171907, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 752, 776, 800, 824, 848?\n\"Answer: 24*i + 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 10*k**2 - 24*k - 5. Let y be g(12). Let o = -9 + 8. Which is the closest to o? (a) -6 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2188878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2783877 and 41\/85395.\nAnswer: 13919385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -2.1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 190469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8388, -8324, -8260, -8196, -8132?\nAnswer: -8068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 13, 52889, 2 in descending order.\nAnswer: 52889, 13, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnvjnjnn. What is prob of sequence vn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r - r**4 + 2 - 2*r - 1 - 2 - 3*r**2 - r**3 to the form z*r**3 + d*r + j*r**4 + p*r**2 + u and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 - (4920\/400 + 15\/(-10) + 1). Factor 0 + d*z - 1\/5*z**3 + 1\/5*z**2 - 1\/5*z**4.\nAnswer: -z*(z - 1)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 4*y + 2. Let k be m(-2). Suppose -k*u + 7*u = 10. What is the second derivative of 4*x**u - 5*x + 2*x - 5*x**2 wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 407?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/15 + 200698*w\/15 + 13380 = 0 for w.\nAnswer: -1, 100350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1891\/1784 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693 - 436 = -103*i + 1905 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*2*36\/48.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 4, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 37*f + 6 = 40*f, 0 = -y + 3*f - 6. Solve -3*p - 27*p - 30 = y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2100953 from 22054.\nAnswer: -2078899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12\/5 - 31\/15. What is f in 1\/2*f**4 - 1\/3*f + 2\/3*f**3 - 1\/2*f**2 + 0 - o*f**5 = 0?\nAnswer: -1, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 10:58 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jej when three letters picked without replacement from {z: 3, j: 2, y: 1, n: 2, e: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 77820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 338*b**2 - 4550*b + 61. What is t(-13)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*2\/4*6. Let t = v - -1. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Let f(z) be the second derivative of -5*z**4\/6 + 3*z + 3. Determine f(q(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.035 + -5.335. Let z = -5.105 - w. Round z to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2213\/45 - -247\/5. Put -3\/4, m, 0.06 in increasing order.\nAnswer: -3\/4, 0.06, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7)\/((r**(-3\/13)\/r)\/r))\/(r**(11\/2)*r*r)**(-18) assuming r is positive.\nAnswer: r**(12462\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 1. Let o(b) = -b. Let f be o(-2). Let g be k(f). Suppose -g*m + m + 19 = 3*z, -10 = -2*z. Solve 2*j + m = 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**2 + 5*x + 29. Calculate a(-10).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Work out -86 * -0.3.\nAnswer: 25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d + 20. Let k be w(-4). Put 1, k, -44 in descending order.\nAnswer: 1, k, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23268, -2, -1 in descending order.\nAnswer: -1, -2, -23268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112542 + -1?\nAnswer: 112541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15, -83, -153, -225, -299, -375, -453?\n\"Answer: -z**2 - 65*z + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 48\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 617.623 - 1.023. Let w = c - 479. Round w to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7b3b (base 16) to base 12\nAnswer: 1630b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.78 <= 2\/416347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - s - 1. Let m(p) = 18*p**2 + 5*p + 5. Determine m(v) + 5*x(v).\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 784*o - 2374. Give j(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jht when three letters picked without replacement from hjjt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1271 + 2486. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 3*k - 2*r - 8 = 0, 0 = 2*k + 2*r - 12. Suppose 0*y - 3*n = -k*y + 77, -15 = -3*n. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.294767 rounded to two dps?\nAnswer: -2.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.045 and -12623585858.\nAnswer: -12623585857.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - m**2 - m**2)*(1 - 1 - m**2)*(-8 + 2 + 2)*(3*m - 5*m + m).\nAnswer: 16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 12 = 3*s, 3*s + 28 = 2*s + 5*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 61.\nAnswer: 10\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-32))\/(1\/8). Suppose -24*a + 8 = -22*a. Let t be (-14 + j - -5) + a. Sort t, -5, -10 in increasing order.\nAnswer: -10, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*q + 92*q - 71*q - 11130 = 131*q for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 521654 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**20*o)**(1\/5)*o**27*o**18 assuming o is positive.\nAnswer: o**(246\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-48) + (-1)\/2. Which is the second biggest value? (a) -0.4 (b) -0.2 (c) 0.4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -15, 71, 7.7, -1\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0 + (3 - 1 + 0)*(-2 + 5 - 1))*(-59*x - 15*x + 110*x).\nAnswer: 72*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, i: 3, y: 3}. Give prob of sequence qqyy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 16*h**3 + 95*h**2 + 3*h + 21. Let y(f) = -46*f**2 - f - 1. Give m(u) + 2*y(u).\nAnswer: 16*u**3 + 3*u**2 + u + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 5. Suppose 3*x = -4*q - 18, -2 = 5*q - 4*x + 5. Let g be 2\/q - (-152)\/12. Calculate the highest common factor of g and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -324 (b) 0.4 (c) 2\/3 (d) -1100 (e) -1 (f) 1\/2 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 2*n**5\/15 - n**4\/24 - n**3\/6 - 3*n**2. Calculate m(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26505 is divided by 340?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17015623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 52 = -97*l - 16. Suppose -6*w = 2 + 10. Sort w, 1, l, 5 in decreasing order.\nAnswer: 5, 1, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 908*g**2 - 4*g - 145. Is i(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.3, -0.5, -6619?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u - 3, 4*d - 3*u + 1 = 0. 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 z(b) = 205*b - 1019. Determine z(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((b*b\/(b*b\/b**(-2\/3)))\/b*b)\/b))**28*(b*b**(2\/5)\/b)\/((b**(-1\/13)*b)\/b))**23 assuming b is positive.\nAnswer: b**(337019\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 11:20 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 78188 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11314201 and 0.02.\nAnswer: -11314200.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2133\/5 + 427. Let d be (-2)\/(-5) + -1 + 1. Factor 0*r**3 - 4\/5*r**2 + u + d*r**4 + 0*r.\nAnswer: 2*(r - 1)**2*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94197545 is divided by 1198.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173459\/2*i**2 + 344569\/4 - 172578*i + 1\/4*i**4 - 294*i**3 = 0 for i.\nAnswer: 1, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 6 + 30*f**2 + 17*f - 5*f**3 - 16*f**2 - 14*f**2. What is the first derivative of c(w) wrt w?\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7614*x - 7602*x = 182 + 394 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71567 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -24, -8, 3 in decreasing order.\nAnswer: 3, 1, 0, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -5, 46, -531\/2, 8.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frfqrviiifc. What is prob of picking 3 f and 1 q?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2252?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u**2. Let p(c) be the second derivative of -c**6\/360 - c**4\/2 - 6*c. Let s(j) be the third derivative of p(j). Determine s(n(z)).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 68*z + 159. Let d(m) be the first derivative of -m**2\/2 + 2*m - 96. Let c(q) = 5*d(q) + i(q). What is the derivative of c(t) wrt t?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*q - 29*q - 38*q)*(1 + 0 + 1).\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27325 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - j - 8 = 3*n, -2 = -n + 5*j. Let q(i) = 2*i**2 + n - 3 + 1. Let a(t) = t**2. Determine q(a(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three eighths of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/2))**(5\/13)*(y*(y**28*y)\/y)\/(((y\/y**14)\/y*y*y)\/y) assuming y is positive.\nAnswer: y**(1107\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*s + 0*s + 2*s + 6*s to the form u*s + g and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756914903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*s - 40*s - 553*s + 67*s**2 - 72*s**2 + 622*s.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36 - 43296?\nAnswer: -43296.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26933, 26899, 26907, 26963, 27073, 27243, 27479?\nAnswer: 27787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3375942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.73 take away -40?\nAnswer: 34.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15264687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/19 - 10052*b**2\/19 + 6029298*b\/19 - 966952080\/19.\nAnswer: 2*(b - 4360)*(b - 333)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*w**2*x**2 - 20*a**3*x**2 + a**2*w**2 - a**2*w - 3*a + x**2 wrt a.\nAnswer: -12*w**2*x**2 - 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6366 and 101760.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2158293 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -536*s**2 - 415*s - s**4 + 23*s - 1421 - 17*s**4 - 258*s**3 + 1325 = 0. Calculate s.\nAnswer: -12, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -0.2 (c) 221\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 935098?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -75, -302, -815, -1758, -3275?\n\"Answer: -24*y**3 + y**2 - 62*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 9:03 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4 + p - 4 - 4*p. Suppose -5*f + 27 = 5*l + 2, 0 = -5*f - l + 13. Let z(c) = f*c + 2*c - c. Give i(z(m)).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 0.07 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 70341*p - 21. Let q be b(1). Round q to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k**2\/3 + 10*k - 5\/3 = 0. What is k?\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44034.58 litres in millilitres?\nAnswer: 44034580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -w + 3*d, -4*w - 2*d = -w - 7. What is the derivative of -3 + 2 - 32*r - w - 16 wrt r?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98773 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - p + 284. Let n be y(0). Let u = -332 - -163. Let s = n + u. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -44 (b) -2\/7 (c) -483\/19 (d) 2\/13 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 225 + -32. List the prime factors of w.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 11*i = 2*d + 14, 6*d - 4*i = 3*d - 2*i + 23 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 82?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 121*x**2 - 344*x + 1192. Let z be i(-118). Let u be ((-6)\/10)\/(3\/(-15)). Solve 5*t - 20 = 5*n, -3*n = u*t - 0*t - z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -968, -3, -603, 0.5, 1, 4, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0)*(-5 - 0). Find the third derivative of -409 - 14*x**a + 409 + 30*x**2 wrt x.\nAnswer: -840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 77, 117, 181, 275, 405?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(3\/4)*h**(2\/3)*(h**(1\/2)\/h)**(-1))**(-37\/4) assuming h is positive.\nAnswer: h**(-1295\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1.3. Let y(t) = 4*t - 25. Let i be y(7). Suppose i*d = -5*r + 7*d + 9, r = -3*d + 17. What is the second biggest value in g, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 375373074.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53597 is divided by 17863.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (333\/1665)\/(2\/40). Suppose 0*x + x + 3*v + 15 = 0, -v = 3. Put x, 5, u, 2 in descending order.\nAnswer: 5, u, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*m - 112 = -194*m + 96*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-84)*-20)\/((-10)\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, n: 1, a: 1, q: 2}. What is prob of picking 2 q and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-42)*-2 - (-15795)\/(-105). List the prime factors of q\/(-8) + -9*8\/(-288).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-18))**(-12) assuming x is positive.\nAnswer: x**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*j**3\/5 - 322*j**2\/5 + 6*j + 90.\nAnswer: 2*(j + 1)*(7*j - 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 9 = -2*d - 11, 4*f + 13 = d. Put f, 1, -2\/3, -5\/6 in descending order.\nAnswer: 1, -2\/3, -5\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/3)\/(-20)*8\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049423 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -223551000 to the nearest one million.\nAnswer: -224000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 483, 750, 1033, 1332?\nAnswer: 1647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69598 and 356?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330*56\/(70000\/50).\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b4 + 0?\nAnswer: -2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 21*l - 23742 = -16*l, -3*l = -5*d + 59317. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1372356 and 27\/508280.\nAnswer: 13723560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 13 = -2*l, -2*v = -4*v - 2. Let o(t) = -3*t + 17. Let w(q) = 2*q - 9. Let g(k) = 3*o(k) + 5*w(k). Let u be g(l). Put 5, -4, u in increasing order.\nAnswer: -4, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -40*b - 10. Let a be f(-1). Let p = -45 + 64. Suppose -7*g + p = -a. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 37550.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.02, -1, 0.5 in descending order.\nAnswer: 5, 0.5, -0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 62 = 2*w, z - 4*z = w + 35. Let m = w + 20. Let y = m - -32. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 2 = 52 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -271*y - 267. Let k be o(-1). Solve k*r = 30 - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*q + 25, 3*t + 21*q - 16*q - 31 = 0. Solve t*a + 4 = 12*z - 10*z, 4*z = -2*a + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2. Let d be -2*(90\/4)\/(-3). Let i(w) = -2*w + 15 - d. What is x(i(s))?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 14*p**2 - 36*p - 59. Let c be n(-16). Calculate the remainder when 22*(1 - (-38)\/4 - c) is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 0.05 (c) 2 (d) -267\/8 (e) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/6 + ((-800)\/(-6) - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + (4 + sqrt(1539) + 1 + sqrt(1539) - sqrt(1539)) + -1)**2 - (5*(sqrt(2299) + 1)*-1)**2) + -2.\nAnswer: -51330 - 406*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - r + 46. Let v be m(-7). Suppose 5*f + 30 = 3*a, -v*f - 27 = -2*a - a. Solve -26 = 2*k - 4*k + 5*o, -5*k = -a*o - 35 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-2)\/(-22) + (-3423)\/231. Is (-89260)\/y + 1\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + 403.485.\nAnswer: 461.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -15*g - 24. Let n(p) = -p + 2. Let v(t) = -12*n(t) - u(t). Let k(x) = 3*x**2. Determine k(v(r)).\nAnswer: 2187*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdc when three letters picked without replacement from {c: 5, d: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -14. Let n be (-6 + f)*2\/(-6). Find the third derivative of 0*k**3 - k**2 - 7*k**3 + 4*k**n - 3*k**2 wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.437 + -1.385. Round x to 1 decimal place.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*s - 86, 0 = 2*s + v - 21 - 16. Suppose 5*k = 4*m + 13 - 0, -2*k + 3*m = -1. Suppose -22 = -k*q + s. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(4\/260 + 0). Suppose 5*m = -2*f + 910, -2*m - i = -f + m. Suppose -5*t - 4*x + f = -2*t, -2*t + 294 = -2*x. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1076\/3 - 339. What is the common denominator of z and (-4)\/6*(-50)\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 15*h**2 - 15*h + 17. Let a be v(16). Is 8 a factor of 0\/4 - -1*a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -167265 and -0.062.\nAnswer: 10370.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 32\/34 - -1. Let o(q) = 3*q**2 - 2*q - q**3 + 2 - 2*q**2 - 3*q + 3*q. Let p be o(1). Is n greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abfhwua. What is prob of sequence fa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*a**2 + 6*a**2 - 7*a**2 + 6*a**2 + 63*a**2.\nAnswer: 34*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-28))\/(10\/140)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3099)\/(-24)*(-224)\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*j + 38, 2*j - 3*c - 21 = j. Let m = 50 + j. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -23*i - 21. Let x be g(-1). Suppose -2*y + 3 = -11. Suppose -75 = x*k - y*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 12, -14*u = -f - 10*u - 443. Which is bigger: -460 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = i - 297. Suppose i = -20*r + 25*r. Find the common denominator of -41\/5 and (-102)\/r + (5 - 2).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 6 - 240)*(d - 1 + 1 - 3*d + 2*d + 0*d + (2 - 1 + 1)*(1 - 2*d - 1)).\nAnswer: 1128*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 - 5*n**2 + 2. Let h(o) = 3*o**3 - 6*o**2 + 3. Let m(b) = 3*d(b) - 2*h(b). Find the third derivative of m(s) wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15510124 a multiple of 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -697*u + 697*u - 4*u**2 - u**3 + 1427.\nAnswer: -u**3 - 4*u**2 + 1427","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + ((-8)\/3)\/4. Let z be -2 - 2*3\/(-2). Let w be z\/36 + 4\/18. Sort v, w, 0.3 in descending order.\nAnswer: v, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnvnnnnvnnnnnnvnn?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 184b5?\nAnswer: 184b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-14)\/((-4144)\/185)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwjj when four letters picked without replacement from {j: 3, w: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3792\/56 + 6\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 185045\/3110*((-4)\/7)\/1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 87352 (base 10) to base 4\nAnswer: 111110320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -101924690*l - 197792. Let t(w) = 12368*w + 24. Let x(k) = -3*s(k) - 24724*t(k). Let n(a) = a. Determine n(x(p)).\nAnswer: -12362*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*3\/(-16) + 260913\/6. Suppose 3*q + l = 4*k, 5*k = 5*q + 40420 + 13935. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 15, -1 in descending order.\nAnswer: 15, -1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -72. Suppose u*w = -3*w + 42. Suppose -4*y = 3*d + w, y - d = -3*y - 19. Let a(c) = -3*c - 1. Give a(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -2\/7, 120, 8\/1101, 7.\nAnswer: -2\/7, -2\/19, 8\/1101, 7, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*o - 14*o + 4845 = 3*o. What is the remainder when 303 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5 = -a, -7*a = -4*w - 2*a + 25. Suppose 4*u - 4 - 12 = w. Suppose -u = 4*h, -2*o = 2*h - h - 3. Solve 2*x = -o*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c - 2659c8?\nAnswer: -265999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 765 = -65. Suppose -5*x + 324 + i = 0. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10575 and 354150.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) + 1943\/(-2211) + 8\/11. What is the second biggest value in -5, q, -0.4, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/5068 and 41\/7240.\nAnswer: 50680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 7. Let q(u) = -7*u + 20. Let z(v) = -8*g(v) + 3*q(v). Let w = -8 + -3. Let d(h) = 14*h - 11. Determine w*z(n) - 4*d(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 26a83?\nAnswer: -26a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 26721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-20) - (-8)\/4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -361468.\nAnswer: -5\/361468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-15) + (-1971)\/405?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182851, -182851, -182861, -182887, -182935, -183011?\nAnswer: -183121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -186*u**3 - 2432*u. Let x(y) = -2*y. Calculate x(b(a)).\nAnswer: 2232*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 44*s + 17 + 45*s.\nAnswer: s - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (732\/(-1020) + 48\/408)\/(6\/70).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(9\/2))\/p*(p**(-2\/15)\/p)\/p*(p**(2\/7))**(3\/20))**(-19) assuming p is positive.\nAnswer: p**(13148\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3033 is divided by (80\/(-25) - -3) + 1383*(-2)\/(-30).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -13.5. Which is the nearest to -0.1? (a) n (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18785234 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: What is 709 minutes before 9:02 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 45. Suppose 0 = -2*u - g - 10, -5*u - 2*g - g = r. Let p = -10 + u. Which is smaller: p or -16?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r. Let b(y) be the first derivative of -221*y**3\/3 + 308. Determine h(b(m)).\nAnswer: -1547*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 6:34 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -4*h - 19. Suppose 0 = 4*z + w + w + 32, 5*z - 2*w = -h. Let n be (z\/72)\/((-1)\/(-2)). Which is the closest to n? (a) 5\/2 (b) 4\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 2093553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 - 2 + 2 + 281*i - 281*i - 20*i**2 + (2*i**2 + 2*i - 2*i)*(-1 - 2 + 1).\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/3)\/(((-7)\/(-3))\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -108, -129, -168, -231?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 459 - 3?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -14*k + 1. Suppose -4*s - 14 = -2. Let j be g(s). Let h = -15 + j. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 15552450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0.43, 1, -4\/3 in increasing order.\nAnswer: -4\/3, -1, 0.43, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 12:14 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -0.33 (c) -0.2 (d) 2\/7 (e) 2168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.1 - -1.1. Let g = -14 - s. Let u(f) = -f**2 + 5*f + 2. Let o be u(5). Which is the biggest value? (a) o (b) -6\/11 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 9:55 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -9*h**3\/4 - 3*h**2\/2 + 21*h\/4 - 3\/2 = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**6\/60 - 7*r**5\/5 - 175*r**4\/24 - 59*r**3\/6 - 20*r + 7. Factor f(u).\nAnswer: u*(u - 59)*(u + 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**4 + 35*f**3 + 112*f**2 + 26*f - 18788.\nAnswer: 12*f**2 + 210*f + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 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: Is 34051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 less than 52299684?\nAnswer: 52299861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 289 = -2*o - 255, 5*w - o + 59 = 0 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2b3c7 (base 13) to base 16\nAnswer: 14027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61658 is divided by 20473?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 9*y**2 - 2517*y + 26617. Give g(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86354 + -14516. What are the prime factors of x?\nAnswer: 2, 3, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v. Let h(q) be the first derivative of 0*q**2 + 2 + 2\/3*q**3 + 0*q. Give r(h(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31011 + -210?\nAnswer: 30301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-150)\/(-120) + (51\/(-12) - -3) - -2. Solve 5*o - 8 = -m*h, -62*h + 58*h = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -10, 44\/19?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6472 - 3*v - 6472.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1424.1 and 32.\nAnswer: -45571.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55594 + -1358?\nAnswer: -56952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k. Let m(q) = -q**2 + 67*q. Calculate z(m(y)).\nAnswer: -2*y**2 + 134*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 143 + -122. Solve -5*b + z = -m, -9 = -3*b + 2*b + 5*z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 0*o - 15. Let w(m) = m**3 - 4*m**2 + 3*m + 2. Let a be w(o). Let q be (-2)\/1*(-6)\/4. Sort 5, a, q in ascending order.\nAnswer: a, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Solve -12 = -4*w, -2*x - 5*w + 1 + 16 = u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**5\/240 - 27*m**4\/32 - 21*m**3\/2 - 1160*m**2. Find l such that w(l) = 0.\nAnswer: -3, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldcjclcclllllcppl. Give prob of picking 1 l, 1 p, and 1 j.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 + 466*t + 1390. Determine m(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58307 and 1465?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -514541+9\nAnswer: -514532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4))**(-6\/11)*(i**(-2\/7))**(-41\/3) assuming i is positive.\nAnswer: i**(1741\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 46*j. Determine c(2).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27499 - 19379. Is 56 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142235?\nAnswer: 5, 28447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -61*g**2 - 13*g + 13. Let z(j) = -3*j - 4422 + 8841 - 15*j**2 - 4416. Calculate -6*p(i) + 26*z(i).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2673*z**3 - 115119*z**2 - 11529*z + 6012.\nAnswer: 16038*z - 230238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 8*i**2 - i + 27. Calculate c(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/((-3325)\/(-1026)))\/((-30)\/(-75))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2436*d - 2435*d - 52853 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28247*n**3 + 2*n**2 + 15906 with respect to n.\nAnswer: -84741*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3049 times 0.989?\nAnswer: 3015.461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101100110011001001 + 100?\nAnswer: -110101100110011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 62087082 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 1 - 11. Suppose y*f = -6, 5*i - 4*f - 165 = -28. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/32 - 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -198*s + 627*s + 1933*s in the form j*s + i and give j.\nAnswer: 2362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -28. Let u(r) = 2*r + 1. Let q(d) be the third derivative of 1\/6*d**3 + d**2 + 0*d + 0. Determine w*q(n) + u(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -65951*m. Let g(q) = 8*q**2. What is g(d(u))?\nAnswer: 34796275208*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -10. Let q(s) = -13*s**2 - 10*s + 15. Let t(y) = 7*y**2 + 5*y - 8. Let g(a) = 6*q(a) + 11*t(a). What is g(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228670 rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010946 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 145*l**5 - 3*l**4 - 3*l**3 + l**2 - 12. Let b(d) = d**5 - d**4 - d**3 + 1. Let s(v) = 3*b(v) - w(v). What is the third derivative of s(n) wrt n?\nAnswer: -8520*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o - 7. Let k be d(3). Suppose -p - 35 = k*h, -5*p + 18 = 2*h + 55. Let f = -24 - h. Are f and -18 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - -2 - ((8 - 8) + -8 + 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.1 (b) -66 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-330)\/(-10)*(-8)\/(-12). Solve -2*i - f = -p - 7*i, 2*p - i = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68903 + -7441375\/108. Let c = 1\/813 - -33313\/16260. What is the common denominator of u and c?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 1. Let w be h(2). Suppose 4*k - 5*a - 4 = 0, -k = 2*k + 3*a + 24. Let x(p) = -2*p**2 - 3*p + 19. Let l be x(k). Sort w, l, 5, 4.\nAnswer: w, l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*w + 0*w = 1592, -4*y = -2*w - 2120. Suppose -2*b - 3*b + d + y = 0, -4*b + 418 = -3*d. List the prime factors of b.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/6 - 317*j\/6 + 214.\nAnswer: -(j - 4)*(j + 321)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.603 + 1.741. What is r rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(7) - sqrt(700))*1.\nAnswer: -9*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from reerere. What is prob of sequence eree?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/70 and 5\/4347?\nAnswer: 43470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-1\/9)*f*f**(-1\/7)*f*(f*f*f\/(f*(f*(f**(3\/10)*f)\/f)\/f*f*f))\/(f\/f**(-2\/17)*f) assuming f is positive.\nAnswer: f**(3517\/10710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i. Let c(u) = -2*u - 1. Let f(v) = -5*c(v) - 6*z(v). Let t be f(-2). Is t greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + m. Let x = 60 + 15. Suppose x*o - 8 = 74*o. Is i(o) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 872\/56 + (-3)\/(-7). Let v = 29 - p. Let k(x) = x**2 - 12*x - 3. Is k(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1331126 and 8.\nAnswer: 5324504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/(-6)*(-9261)\/6174?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-1)\/185*-5). Let o = 79 - a. Solve o*n = -5*b - 6 + 21, -2*n - 5*b = -21 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3804247229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Suppose 3*o = v*p + 146, -o + 62 = 2*p - 6*p. Let w = 96 + -71. Calculate the remainder when o is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -1.60786?\nAnswer: 1.90786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 7. Let q be z(0). Let m = q + 3. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14414935123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 8:00 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 57. What is the nearest to p in 0.5, -0.9, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -2654, -1, 82 in descending order.\nAnswer: 82, 4, -1, -4, -2654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/75 (b) 2 (c) 85 (d) 3 (e) 5 (f) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -11. Calculate the highest common divisor of k and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0184 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)*k*k**(-5))\/(k\/(k\/(k\/(k*k*k*k*k**(-1)))))**(2\/7) assuming k is positive.\nAnswer: k**(-79\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161711139 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 390, 387, 384, 381?\n\"Answer: -3*s + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*k - 2*k. Suppose 0 = -3*g + 4*i + 32, -k + 1 = -4*g - 2*i. Let m be (1 + -2)*(-1)\/2. Which is the nearest to 0.2? (a) 5 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 200 and -0.1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2443 or -1049?\nAnswer: -2443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/9? (a) -3\/2 (b) 0.106 (c) 2\/7 (d) -5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 + 246*t**3 + 11 + 251*t**3 + 8*t**2 - 498*t**3 - 9*t. Let z = -8 - -14. What is the units digit of c(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5*c - 5 = 0, 11*c + 20 = 16*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 338 - 334. Suppose -4*o = -2*h - 6752, -5*o + v*o + 3*h = -1693. List the prime factors of o.\nAnswer: 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-3\/5)*z**(-14)*(z*z**(-4\/11))\/z*z\/(z\/(z*z**(-1\/12)*z)) assuming z is positive.\nAnswer: z**(-7159\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 + 255. Let o = -124 + a. Calculate the highest common divisor of o and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -6953, -5, 6, -22 in descending order.\nAnswer: 6, 0, -1, -5, -22, -6953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 331489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 205*m - 338. Give t(2).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 - (118 + -12) - (26 - -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30\/(-45))\/(2\/12). Let g(m) = -m**2 - 6*m - 3. Let q be g(b). What is the third derivative of -4*h**q - 6*h**2 - 2*h**5 - 6*h**2 wrt h?\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*h**3*q**3 + f*h**2*q**2 + 10*f*h*q**2 - 2*f*q**3 + 2*f*q - 98*h**2 + h*q**2 wrt h.\nAnswer: 6*f*h*q**3 + 2*f*q**2 - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times 223164\nAnswer: -267796.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 2 = 13 - 1. Suppose -2*w + 21 = 3*p, 5*w = p - 6*p + 45. Which is the third biggest value? (a) -4 (b) w (c) -0.5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1951 and -1614 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55229, -110461, -165693, -220925?\nAnswer: -276157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 607.954 + -613. Let u = s - -0.046. Sort 3, u, -1\/6, -2.\nAnswer: u, -2, -1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1716, 3433, 5150?\nAnswer: 6867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15186 - 7361. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from clhclcs?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1418348, 0, -339 in decreasing order.\nAnswer: 1418348, 0, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkkckkbk.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 1 - (-3 + 3). Let x = -10672.5 - -10672. Sort -3, 9, x, o.\nAnswer: -3, x, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l**3 - 3*l**2 - 3*l - 3. Let h(j) be the second derivative of j**4\/12 + j**3\/6 + j**2\/2 - 5*j + 21. Give a(r) + 3*h(r).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-144)\/(-20) + (-3)\/15. Let i(t) = -t**2 + 12*t - 17. List the prime factors of i(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*m - 50*m + 41*m)*(-2*m**4 - 2*m**4 - 5*m**4).\nAnswer: -333*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505*s**2 - 509*s**2 - 4 + 4.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v + 133 = -23*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 45*x - 49*x - 3 - 45*x + 140*x. Let k(o) = -2*o**2 + 2*o - 7. Suppose 5*n = -9 + 54. What is n*a(t) - 4*k(t)?\nAnswer: -t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 26994.\nAnswer: -1\/8998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3 = u. Let l(p) = -u*p - 3 - 5*p**2 + 10*p + 3. Let r be l(-5). Round r to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*3*sqrt(68)*-4)\/((sqrt(256)*-1 - sqrt(256))*-4).\nAnswer: -9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3*g + 16 = 0. Put 3, -0.19, g in increasing order.\nAnswer: -0.19, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -97?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2126\/(-5*22\/(-55)).\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*i**3*w + 3134*i**3 - 112*i*w + 24396816*w + 2 wrt i.\nAnswer: 12*i**2*w + 9402*i**2 - 112*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(13)*3 + 3)**2.\nAnswer: 48*sqrt(13) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 35 = 23 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-7)\/3)\/(-1 + -3). Are 28 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*(-10)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27345, -27236, -27025, -26688, -26201, -25540, -24681?\nAnswer: -23600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 7095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-2 + 0 + 1). Suppose -4*x = -8, p - c*x - 38 = -9. Calculate the remainder when 145 is divided by p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 1 + 2*z**2 + 1 + 4 - 2. Let s(o) = -o. What is -26*s(q) - 6*v(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -32\/5*c**2 - 2\/5*c**3 - 6*c + 0 = 0?\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397?\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4168*a**3 + 227*a**2 - a?\nAnswer: 25008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-21)\/o**(1\/26)*(o**(2\/3))**(-21) assuming o is positive.\nAnswer: o**(-911\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350743 = 14*l - 350967 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -2. Let d = 46 - 43. Which is the closest to d? (a) 0 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -0.041 (c) -367\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -8, -39 in increasing order.\nAnswer: -39, -8, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c - 40*c - 88 = -45*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -2 + -2 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**6\/120 + a**5\/20 - a**4\/8 - 2*a**3\/3 + 5. Let s(n) be the third derivative of w(n). Factor s(i).\nAnswer: -3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3212*x - 3229*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 29 = 3*z, 1170181*r + 11 = 2*z + 1170180*r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 39 + ((-107920)\/(-32))\/(-71)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**5 - 10*q**4 - 1235*q**3 - 6920*q**2 - 5700*q = 0. Calculate q.\nAnswer: -10, -6, -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 i, and 1 z when three letters picked without replacement from ozzdzizzezwziiwzdezd?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.369 - 12.4. Let r = n + -3.969. Which is the closest to 1? (a) r (b) -0.3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 10*g**3\/3 - 2*g**2 - 7*g + 5. Is w(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6*k - 41. Let o be f(-7). What is the closest to o in -0.2, -3\/4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2946134.\nAnswer: 2, 17, 73, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**4 - 1085*i**3\/3 + 608*i**2\/3 + 15164*i\/3 + 19360\/3 = 0.\nAnswer: -121, -2, 40\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 12. What is the lowest common multiple of 2 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4 + (-17)\/(-4))*-35 and -133\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -126 (b) -2.6 (c) -2\/9 (d) 1 (e) -2\/3 (f) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -36.\nAnswer: -36, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/2)\/(1127\/(-3220)))\/(5\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045406?\nAnswer: 2, 522703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*a + 1865 = 0, -9*a = -l - 8*a + 621. Suppose 2*b = 3*w + 368 + 261, -3*w + l = 2*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5842?\nAnswer: 2, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 629 + -524. Let z = -14 - -35. What is the highest common factor of z and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1472500 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3 = -3*y, 4*u + y = -0*u + 1. Suppose 2*g + 131 = h, u*h - 5*g = -2*h + 262. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122122001 + -220?\nAnswer: 122121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*k - 409*k - 62 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5247491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r - 7. What is m(-11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*x - 4*y + 36, 2*y + 100 = 4*x. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 3 - 2*f**2 - 4 - 6*f + 3. Let o(t) = -t**2 - t. Let w(j) = 6*o(j) - v(j). Differentiate w(y) with respect to y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -243*b - 1959*b**2 + 850*b + 1962*b**2 + 731*b - 1054*b**3 wrt b.\nAnswer: -6324*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 + -34)*(2 - (5 + 14\/(-3))).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, -20, -22.\nAnswer: -22, -20, -8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 0*a - 5 - 1. Let w(x) = 8*x**2 + 255*x - 27. Let c be w(-32). Let k be d(c). Which is bigger: k or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 8:59 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -378985231\/14 - -27059007. Let u = 11372 + r. Calculate the common denominator of u and -77\/26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -5, 2\/5, -2\/11, -0.6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 581347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 2*n**2 - n. Let v(f) = 7*f**3 + 10*f**2 + 8*f + 10. Give -v(k) - 5*x(k).\nAnswer: -2*k**3 - 3*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.69 rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 r, and 1 k when three letters picked without replacement from {i: 7, k: 2, r: 3}?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 7406?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 19837 divided by 4\nAnswer: 19837\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t*t\/(t*t**(-1))))\/t))\/((t**(1\/9)\/t)\/t*t) assuming t is positive.\nAnswer: t**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - z + 2*z)*(0*z**3 - z**3 + 3*z**3) + (-1 + 4 - 5)*(-12 - 19 - 85)*(z + 2*z - 2*z)*(2*z**3 + 3*z**3 - 6*z**3).\nAnswer: -234*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/(-325))\/(6\/100)*6\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5457?\nAnswer: 3, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.604 times 0.1\nAnswer: -0.1604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48821137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1873951 is divided by 461?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79198, -78998, -78792, -78580, -78362, -78138, -77908?\nAnswer: -77672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*c - 19, -5*c + 6*s + 17 = 3*s. Let m be (-880)\/242 - (-5)\/c. Is m <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-3) - (5 + 273). Let v = -42 - f. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (0 - 5) + 2 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(350\/6)*(-690)\/207 + 296\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 216 - 211. Find the second derivative of -53*c + g*c**2 + c - 25*c - 61*c**2 wrt c.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8987*j**2 + 129*j**3 + 8987*j**2.\nAnswer: 129*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -33434034 (base 8) to base 16\nAnswer: -6e381c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 - (-31 + 6 + -130)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220016 a multiple of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28\/5)\/((-24)\/(-120)). Does 2 divide 2\/(-1)*(-182)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**2. Let p(v) = 44*v**2 + 3*v + 1. Let b(h) = -h**2 - 3*h - 1. Let a(g) = b(g) + p(g). Give y(a(n)).\nAnswer: 12943*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-13 - (7 - 12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 12*t. Let u(y) = -2*y + 379. What is h(u(v))?\nAnswer: -24*v + 4548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 24*y**2 - 18 - 38*y**2 - 2*y + 17*y**2. Let q(d) = -d**3 + 7*d**2 - 6*d - 4. Calculate the remainder when w(5) is divided by q(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 272 and 2464?\nAnswer: 41888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56 in -9, -98, -1.8, -0.1?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 11 - 18)*(-2*c + 1 - 1).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 + 5*a - 3. Let s(x) = 5*x**2 + x + 4. Let h(j) = 14*j**2 + 3*j + 11. Let d(n) = -4*h(n) + 11*s(n). What is 5*d(r) + u(r)?\nAnswer: -2*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 14*o**2 + 12*o + 9. Calculate h(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xooxfoxxbxxdbxxoo. What is prob of picking 1 x and 1 d?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/25906 and 33\/33053?\nAnswer: 856271018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**3 + 2*t**2 + 68*t + 16. Let m be o(-7). Calculate the greatest common factor of 53 and m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.7 (b) -0.12368 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 331?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 9*z**2 + 3. Let k be m(-9). Let t(d) = -k*d + 9*d + d - 4*d**2 - 17 - d**3 + 16*d**2. Is t(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 2. Let p be r(3). Suppose -5*d + 2*l + 52 = 0, 0 = -p*d - 2*l - 3*l + 68. Is -4*((-105)\/d + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002450 (base 7) to base 10.\nAnswer: -236215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4077 - 4610 = 330*z + 716*z - 2411 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -10*t**5 + 1877*t**4 + 4354*t**3 + 3037*t**2 + 570*t = 0.\nAnswer: -1, -3\/10, 0, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 417*z**2 + 415*z**2 - 6.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 127, 318, 635, 1078, 1647?\n\"Answer: 63*h**2 + 2*h + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1 - 117*x**2 + 294*x**2 + 8 + 430*x**2 + 12*x. Is j(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**3\/2 - 16*x**2 + 10*x. Let u be h(11). Solve w = -u + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(85995\/54))\/(2\/(-14)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 41 + 635 + 1*(-2)\/(-2). Suppose -11*r = 116 - k. Calculate the remainder when r is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - w**2 - 6. Let c be 4\/(-7) + (-124)\/(-217). What is h(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfrffffffrrccccff. Give prob of sequence rfc.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 11 = h - 4*t, 5*h - 5*t + 25 = 0. Let z be ((-2)\/(-8))\/(1\/h). What is the second biggest value in 2, z, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6859?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132047168.\nAnswer: 2, 11, 53, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4970\/(-300) + (205\/(-50) - -4) and -97\/174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12038 - 10738. Calculate the remainder when 1303 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 - 74. Suppose -258 - 154 = 4*n. Let z = n - w. Calculate the highest common divisor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75065.08 days to hours.\nAnswer: 1801561.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - t**2 - t + 4. Let p be x(3). Let q = -137\/3 + p. Let r = -393\/5 - -79. Which is greater: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3)*(4 - 4). Is 1 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1474.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 + -107. Let w(m) be the second derivative of -m**7\/840 - m**6\/720 - m**4\/4 - 27*m. Let h(z) be the third derivative of w(z). Calculate h(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9215893?\nAnswer: 19, 23, 21089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 0 + 4 + 7*o.\nAnswer: 7*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 8*k - k. Let v(b) be the third derivative of 0*b**3 + k*b + 0 - 1\/40*b**6 + b**2 - 1\/60*b**5 + 0*b**4. Find the third derivative of v(q) wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2*(-8)\/60*-4. Let b(f) be the first derivative of 3 + 0*f**4 - z*f**5 + f**2 - 1\/3*f**6 + 4\/3*f**3 + 0*f. Factor b(k).\nAnswer: -2*k*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -647.7 + -93.5. Round t to the nearest 10.\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2185 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 6*j**2 + 7*j + 19. Let s be x(8). Let g = s + 101. What is the greatest common divisor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/44)\/(1\/(-12)*3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54696 and 323102946?\nAnswer: 1292411784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27946 - 27933. What is the closest to -6.6 in k, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5712529 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15491, -15481, -15471, -15461, -15451?\n\"Answer: 10*q - 15501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/4 and -65\/21188?\nAnswer: 21188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1407.977 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 9:32 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2142 + 65?\nAnswer: 2217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j**(3\/2)*j**6*j**(2\/7)\/j**3*(j**(-7)*(j\/(j*j**(-7)))\/j*j)\/(j**(-2\/7)*j**(-3)) assuming j is positive.\nAnswer: j**(141\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2761 divided by -1?\nAnswer: -2761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44 + 21?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4 = 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80.3 + 79.8. Let g = 0.2 + 0.1. Sort i, -1, g.\nAnswer: -1, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 629191339 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**3)\/g)\/((g**(2\/11)\/g)\/g))\/((((g**(-2\/5)*g)\/g*g)\/g)\/g**(-1))*((g**(2\/3)*g)\/g**3)\/(g**1\/g**1) assuming g is positive.\nAnswer: g**(476\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128293197?\nAnswer: 3, 42764399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 15\/11?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 2*i. Let v(l) = -3*l**3 + 7*l**2 - 8*l - 3. Let o(b) = 4*h(b) - v(b). Calculate o(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 226*s + 9415. What is d(-36)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 1 + -4)\/(-2). Solve 2*m - 10 = -r*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + -15 + -3 + 12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79903, 159611, 239343, 319111, 398927, 478803, 558751?\nAnswer: 638783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -r + 2760, 0*r - 4*r + 11128 = 2*g. Suppose 4*w = 24*w - r. Which is the second smallest value? (a) -3 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -105 and -58.121.\nAnswer: -163.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 29, 63, 119, 203, 321?\n\"Answer: d**3 + 2*d**2 + 5*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -3*j**2\/2 - 30*j - 7. Let q be s(14). Let f = q + 75. Solve -f*g - 3*n + 10 = -n, -5 = -5*g - n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -1320042511?\nAnswer: 1320042515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*d = 82, 2*b + 0*d = -3*d - 54. Is -5*2*267\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 30*h**2 - 1107*h + 236. Determine n(35).\nAnswer: -1759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*h - 12 + 62 = 0, 3*j + 51 = 3*h. Let p be (-24)\/(-112) + (-6)\/j. Which is the closest to 0.3? (a) p (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/22*(-643654)\/10326?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1497540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + -72 + 89 - (-9 - -12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f = -80. Let k = 22 - f. Solve 0 = -3*h - k*o - 10, -5*o - 6 = 5*h + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(78\/(-741)*19).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 99282 divided by -21\nAnswer: -33094\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 876504.26 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 18425750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/50 and -77\/157600.\nAnswer: 157600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, m: 1, b: 4}. What is prob of sequence mb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*i - 3*i. Suppose -i = -5*f + 67. Let l = 17 - f. Is -1 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 4 - 3) + 2 + -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7809447, -7809450, -7809455, -7809462, -7809471, -7809482, -7809495?\nAnswer: -7809510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76347.47 grams to nanograms.\nAnswer: 76347470000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -3*b + 200. Suppose -119 = -3*q + 58*t - 62*t, q = -3*t + 38. Suppose -244 = q*d - b*d. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, t: 4}. Give prob of picking 3 t.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8331 by -2777.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**3 - 10*w**2 - 15. Let z(j) = -31*j**3 + 55*j**2 + 77. Calculate 11*h(i) + 2*z(i).\nAnswer: 4*i**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1112*y + 28 = -1110*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1029169559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**2 - 48*b + 24*b + 24*b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297939 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, -4, 4.\nAnswer: -4, 4, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132 by -143.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 343 by 20.\nAnswer: 343\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -4*g - 28, -1853*n - 5*g = -1856*n + 38 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 2. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*s - 242, 0*p - 3*s + 232 = -p. Which is bigger: -237 or p?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + g - 60, 2*g + 91 = -3*j + 3*g. Let v = 35 + j. Suppose -3*t = 5*i - 13 + 4, v*t + 5 = -i. What is the third smallest value in i, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90124 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3610913?\nAnswer: 367, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m + 52*m = 759 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1.12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1159968161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2412\/198 - (-4)\/(-22). What are the prime factors of (-98)\/(-3) - (-4)\/x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6501 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71653330 divided by 218?\nAnswer: 328685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4635 = -36*y - 273*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1202 - -1211. Let b(j) be the first derivative of 9\/2*j**2 + 2 + d*j. Differentiate b(p) with respect to p.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -70*s**2 - 2*s + 17. Let k(x) = -x**2. What is i(k(g))?\nAnswer: -70*g**4 + 2*g**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57274.6 grams to kilograms.\nAnswer: 57.2746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 0*j - 6*j + 3 + 0*j**2 + 0 + j**2. Suppose -238 = -17*r - 153. Calculate y(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*p = z - 555919, 0 = z - 2*p - 277949. Let s = 477955 - z. Round s to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2864 and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206789 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3418 - 3418 + 18*c**5 + 3*c**2 - 3*c**2 + 2*c**5 + (-4*c**2 + c**2 + 2*c**2)*(c - c**3 - c) - 76*c**5 - 6 + 6.\nAnswer: -55*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2459059, 2459055, 2459051?\nAnswer: 2459047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4366204\/22309 - -2\/3187. Which is smaller: j or -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73484 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3\/7*n**5 + 12\/7*n**3 + 0 - 9\/7*n**4 + 36\/7*n**2 + 0*n = 0.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*n + 191 = -268*n - y, 2*n = 2*y + 134. What is the greatest common divisor of 496 and n?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 - -125.6. Let m = x - -19.4. Which is the closest to -0.05? (a) 0.1 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vouu when four letters picked without replacement from {j: 3, v: 3, o: 4, r: 6, u: 2}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 - 15*n**3 + 3*n**3 - 21*n**3 - 21*n**3 - 2*n**3.\nAnswer: -59*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqdd when four letters picked without replacement from ddbvddsbpqbbqsqqdbq?\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 1229*l - 40. Calculate q(0).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -27*n**3 - 2*n + 2. Let l(p) = 325*p**3 + 25*p - 25. What is 2*l(s) + 25*m(s)?\nAnswer: -25*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105 * 0.0591.\nAnswer: 6.2055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -724. Let j(a) = -a - 694. Determine -5*j(y) + 4*u(y).\nAnswer: 5*y + 574","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.267 + -0.266998549. What is x rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41644, -41645, -41648, -41653, -41660?\nAnswer: -41669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 441379904 divided by -110344976?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -633 + 633.2. What is the third smallest value in 2\/9, 0.3, 43, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 853996?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1186087 divided by 169441\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 821, 1782, 3105?\nAnswer: 4790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*j + 16*j**2 - 1 - 52*j**2 + 0*j**3 - 8*j**2 - j**3 in the form n*j**2 + x*j + s + h*j**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/6)\/((-1)\/(-3576)). Let m be 87822\/(-27) + (-1)\/3. Let g = c + m. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 + 2*t**2 + 2*t. Suppose -6*y = -3*y + 5*l + 42, 0 = -3*y - 4*l - 39. Let q(z) = -12*z**3 + 9*z**2 + 9*z + 1. Give y*r(s) + 2*q(s).\nAnswer: 3*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -8 (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**9\/1512 - l**8\/420 + l**7\/420 - l**3 - 2. Let i(s) be the third derivative of k(s). Factor i(b).\nAnswer: 2*b**3*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 236 - 232. Suppose -2*m + 455 = -d, -5*m + r*m = d - 220. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**3 + 0*x**3 + 3*x**3)*(3*x**2 - 2*x**2 + 7*x**2)*(-14 + 86 - 37).\nAnswer: -560*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 708708 divided by -4543?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 303803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1510455698?\nAnswer: 2, 2557, 295357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 493 = -5*s, -49*u - 2*s = -53*u - 962. Let v be (-6)\/15*(u\/3 - 2). Factor -2\/3*n**4 - 70\/3*n**2 + v*n + 0 - 26\/3*n**3.\nAnswer: -2*n*(n - 1)*(n + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30581642, 61163283, 91744924, 122326565, 152908206?\n\"Answer: 30581641*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x + 2213 = 2288 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001222567303 to seven dps.\nAnswer: 0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 3538 = 187*r + 3011 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*i**3 - 140*i**3 - 28*i**2 + 31*i**2.\nAnswer: -202*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -716483 or -716484?\nAnswer: -716483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22522463 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2833 (b) 3065 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 43*d - 395. Let q be j(-15). Solve -41*p = -q*p - 128 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**4\/12 + d**3\/2 + 3*d**2\/2 - 10*d - 2. Let j = -1 + 6. Give o(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y**2 - 4 + 0*y - 4*y + 5*y**2 + 0*y. Let s(f) = -3*f**2 - 11*f - 11. Let c(b) = -11*a(b) + 4*s(b). Factor c(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z - 11. Let u = 2 - 41. Let n be (-6)\/39 - 474\/u. Let m be w(n). Calculate the highest common divisor of 275 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**4\/7 + 468*o**3\/7 + 14634*o**2\/7 - 1674216*o\/7 - 5141880\/7 = 0.\nAnswer: -138, -3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42504954 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 38 = -2*t, r = t + 3*t - 86. Suppose t + 13 = 7*u. Let f(s) = s**2 - 5*s + 5. Calculate f(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015969744 rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnininiinninni. Give prob of picking 2 n.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 3*z**5\/35 - z**3\/7 + 10. Factor o(x).\nAnswer: 3*x**2*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102597790 divided by 20519558.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 5:25 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = 3*k. Suppose k*f = -4*f - 24. Let d(q) = -q**3 + q**2 - q. Let m be d(1). Sort m, -6, f in increasing order.\nAnswer: -6, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 9. Let k be (9\/8)\/(((-81)\/(-12))\/(-9)). What is the fourth smallest value in -5, 0.2, b, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (200\/600)\/(1\/(-30))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 18124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 5. Let k be y(-12). Let h be 457\/k + (-18)\/63. Let m be (-335)\/h - 4\/(-26). Which is smaller: m or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:32 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66616, -134627, -202638?\nAnswer: -270649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-3 - -1) - ((-46 - -49) + (-9 - -17)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10213 (base 7) in base 11?\nAnswer: 1981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21*((-3)\/21 + (-125)\/(-175)). Solve -w = -j*w + 66 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-17\/2))**7*m*m**(2\/61)*m**(10\/11))**(-3\/32) assuming m is positive.\nAnswer: m**(231729\/42944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*o - 72 - 3, 0 = a - 3*o + 3. Let x = -18 + a. Let d(q) = q**2 + 2*q + 2. Is d(x) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 478*d - 10700.\nAnswer: -2*(d - 214)*(d - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2630\/914887 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**11\/y)\/y*y**(17\/5) assuming y is positive.\nAnswer: y**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 11 + 11. Let x be (-10)\/(-35) + (-556)\/(-14). Let u = 48 + x. What is the greatest common divisor of u and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -18*p**2. Suppose -4*f + i - 10 = 0, -3*f + 3*i + 2*i - 16 = 0. Let j be -5*(f + 230\/25). Let a = -35 - j. Give w(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/(-3) - (19\/57)\/((-1)\/(-3)). Solve -h + 413*u + y = 415*u, u = 5*h - 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 19*w - 31. Let q be p(-21). Let g be -9*3\/(-2 + -7) + q. Let u = -61 - g. Calculate the remainder when 31 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0251618941 to six dps.\nAnswer: -0.025162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/1467 + -4405\/2934. Let p = -4.5 + 5. What is the nearest to 2\/5 in p, 5, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -9\/8. Sort 0, -0.2, 1\/7, w.\nAnswer: -0.2, w, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -362*h**2*j - 105*h**2 - 118*h*j - j + 34 wrt h.\nAnswer: -724*j - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-14)\/4 - -2). Suppose t*s + j = 10, 2*s + 6 = 5*s - 3*j. Solve 0 = n - 3*z + 10, -6*n + n + 22 = s*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/6)\/(10\/(-6) + 1). Solve -z*s + 6*s = 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2, -5, 0.5 in decreasing order.\nAnswer: 2, 0.5, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 + -58. Solve -2*u = -w*u - 15, -u = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*z + 21, 4*z + 6*v = 2*v + 36. Sort -38, z, -4 in increasing order.\nAnswer: -38, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-12)*(-3)\/(-2). Suppose -7 = -3*w + 8. Put 4, 3, u, w in descending order.\nAnswer: w, 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 6*k - 40. Let w = k - 1. Let b = 2 + w. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2. Let l(z) be the first derivative of -3*z - 7\/2*z**2 - 88. Give l(i(s)).\nAnswer: -14*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 638?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88.9 - -12.9. Let b = -0.1222 + -81.1778. Let y = b - l. Round y to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -164131445 at least as big as -984788677\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115119*n**6 - 119*n**2 - 311 wrt n.\nAnswer: 13814280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4383624 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, b: 3}. What is prob of sequence tt?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27815, -52283, -76751, -101219?\n\"Answer: -24468*l - 3347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 36*d**2 - 7*d - 266. What is r(-6)?\nAnswer: 1072","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/8)\/((-1)\/2). Suppose -4*t - 14 = 30. Sort -4, t, r in decreasing order.\nAnswer: r, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -1) + -2 + 7. Let m = -13 + a. Put m, 1, -3 in increasing order.\nAnswer: m, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**3 + 22*v. Let x = 45 - 43. Let y(t) = -3*t + t + 5*t - x*t. Let u(w) = l(w) - 4*y(w). Find the second derivative of u(z) wrt z.\nAnswer: 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4568971.3 rounded to the nearest 1000?\nAnswer: 4569000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. What is the least common multiple of ((-20)\/3)\/((-1)\/3) and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a2 - -64?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) + sqrt(117) + (sqrt(117) - (sqrt(117) + (-1*sqrt(117) + sqrt(117) + sqrt(117) - sqrt(117)))) - sqrt(117))*-6*4)\/(6*3*sqrt(900)))**2.\nAnswer: 52\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6314 is divided by 6258?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4234*m**2 + 3*m + 1. Is d(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233038 is divided by 14562?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34325*s**3 - 70338*s**3 + 35228*s**3.\nAnswer: -785*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2606 is divided by 118?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 20*z**3 - 20*z**3 - 2*z**4 + (16*z - 7*z + 4*z)*(2 - 2 + 2*z**3).\nAnswer: 24*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89484179?\nAnswer: 59, 1516681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.65 + -0.55. Let j(o) = 2*o**3 + o**2 + o - 1. Let i be j(1). Which is the closest to m? (a) i (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - 2)\/(5\/(-30)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {j: 8, p: 5, v: 5}?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/2 - 30\/20. List the prime factors of ((-1)\/3)\/(27\/17118)*j.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18184670 to the nearest 100000.\nAnswer: -18200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/6)\/((-10)\/8775). Let x be d\/35 + (-6)\/(-14). Let i = x - -56. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1262*u. Let c(b) = 2*b. What is t(c(f))?\nAnswer: -2524*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/17800 and 23\/5340.\nAnswer: 53400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3 = a, -41 = -5*x + 3*a. What is the smallest common multiple of 11 and x?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757047882 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 246606374 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, -27, -68, -125, -198?\n\"Answer: -8*n**2 - n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220269 divided by -8?\nAnswer: -1220269\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)*v\/v**(4\/5)*v)\/((v**(3\/4)*v*v)\/v*v**(-1\/3)) assuming v is positive.\nAnswer: v**(-493\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19679 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 29121.615\nAnswer: 2912.1615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 17\/5)*(-30)\/(-4). Suppose -2*m - o + 0 = 0. Let x be (-4 - 27\/m)*6. Solve -5*b + 22 = 5*p - 2*p, 0 = -x*b + p + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215.77 + 1\nAnswer: 216.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15212265.73855 - -0.3?\nAnswer: -15212265.43855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x**3 - 32*x**2 + 62*x. Let f(k) = -68*k**3 - 223*k**2 + 433*k. Let n(c) = 2*f(c) - 15*u(c). Determine i so that n(i) = 0.\nAnswer: 0, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152 + 696. List the prime factors of d.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 11*s = -18. Solve 5 = 4*m - s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26333651 (base 7) in base 12?\nAnswer: -98398b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 4*n**2 - 6*n - 5*n + 9*n. Let q(y) = -y**2. What is 21*q(k) - 3*z(k)?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6692 and 86114.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*z = 17392, 3203 = 2*k + 3*z - 5498. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 2*m - 2*m)*(-2 + 4 + 1 + 2 - 2 + 2 + (-1 + 4 - 2)*(0 + 2 - 3) + 2 + 2 - 2) to the form a + i*m and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -3\/330371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n + 29*n - 64 = 0. Suppose 0 = -5*x + 4*l - 1080, x + n = -3*l - 133. Is 1\/2 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028774 rounded to four decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13315163 and 73991?\nAnswer: 306248749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -1. Suppose 0 = -0*p - 3*p + 1131. Let r = p - 7165\/19. Is r greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -24*w**3 - 4*w**2 - 4*w + 3. Determine p(-2).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = -u - 18, 0 = 3*u - y - 1. Suppose -i + 81 = u*i. Let o = -16 + i. Do o and 10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 78.66\nAnswer: 31.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 12) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4342 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17610, 17389, 17168?\nAnswer: 16947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -331*a**7\/7 - 10*a**3\/3 + 9*a - 230. What is the third derivative of t(c) wrt c?\nAnswer: -39720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*m - 953, 3*m - 78 - 871 = b. Round m to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 67 (c) -0.2 (d) 3\/8 (e) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*c + 3*g, -5*g - 10 = -3*c + c. Let y(o) = -o + 27. Let k be y(c). What is the units digit of (108\/(-14))\/(k\/(-112))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1437, -5474, -12191, -21582, -33641, -48362?\n\"Answer: l**3 - 1346*l**2 - 6*l - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7618615.933 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1615376 * 82.\nAnswer: -132460832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 13. Let n(b) = -b**2 + b + 1. Let m(r) = -f(r) - n(r). Let j be m(0). Let g = 1 + j. Calculate the remainder when g is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*s - 24*s - 15*s + 9 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 346.2 + -388. Let k = b - -43. Let m = -5.8 + 6. What is the biggest value in m, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 12614?\nAnswer: -12620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + (1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/9)\/(-5 - (-167)\/33). Solve -m = 4*i - 3*i + 4*y, y + 11 = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**4\/12 + p**2. Let r(u) be the third derivative of 0*u + 7\/60*u**5 + 0 + 0*u**3 + 42*u**2 + 0*u**4. Determine l(r(c)).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*f + 2 - 4 - f + 4 - 2*f + 4*f - f + (2 + 0 + 0)*(f + 0*f - 2*f) + 0 + 0 + f - 2*f + 2*f - 2*f + (-4*f + f + 2*f)*(72 - 62 + 29).\nAnswer: -40*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -36, 0, -2\/3, 1.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 2*i - 1, -10 = -4*o - i + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.3 or 1\/1741?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, s: 1, y: 1, v: 1, q: 6}. Give prob of sequence sqv.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/70)\/(36\/84). Put -4, a, 3\/8, -1\/7, -177 in descending order.\nAnswer: a, 3\/8, -1\/7, -4, -177","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/10 + 55\/2. Let v = b + -30. List the prime factors of (-4 - v)\/((-4)\/54).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d - 776 = 3481. Solve 122*h - d*h = 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/45)\/(20\/(-50)). What is the closest to 2 in 0, 1, t, -4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4d (base 14) to base 6\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -162*s**2 + 63. Let n(q) = 13*q**2 - 5. Let i(g) = 63*n(g) + 5*p(g). Let m be 1\/(4 - 135\/35). Let z(l) = 2*l - 11*l + 6*l + m*l. What is i(z(u))?\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*k - 316 + 52 = 0. Solve 30 = -2*a + 6*a + 2*g, k*g + 5 = 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66.9 * 117.36.\nAnswer: -7851.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -31*n**3 + 13*n**2 - 12*n - 261. Is x(-8) a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17020*w**3 + 3267*w.\nAnswer: 102120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**4 - 2*d**3*r - 174*d**2 + 15*d*r + 2*d + r wrt d?\nAnswer: -24*d**2 - 12*d*r - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 3793*w - 37930. Give m(10).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -399168.000125 - -399190. Let m = -22 + h. Round m to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79\/315 + 8\/45. Let f = -71.04 - -71.24. Which is the smallest value? (a) 4 (b) 0.5 (c) u (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 24 = -3. What are the prime factors of 47*u\/(-12)*4?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 10:20 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a week in minutes?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 4, 2\/5, 1.7, 0, 610\/7 in descending order.\nAnswer: 610\/7, 4, 1.7, 2\/5, 0, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17*1*(-5747)\/(-13957)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**7\/4410 - w**6\/630 - w**5\/210 - 5*w**4\/12 - 7*w**2. Let s(h) be the second derivative of x(h). Let s(f) = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12360096, 12360092, 12360086, 12360078, 12360068?\n\"Answer: -i**2 - i + 12360098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 8*v**2 - 5*v - 11. Let l be u(7). Suppose 8 - 2 = 3*x, l*m - 77 = -x. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-8))\/(3 + 19\/(-8)). Let n be 0\/(-1 - -2) + 1. Which is smaller: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -382*s**6 + 34*s**5 - 1037*s**2 + 14.\nAnswer: -45840*s**3 + 2040*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/29 in 4, 0, -25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2014909 kilograms in milligrams?\nAnswer: 201490.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**(-2\/11)*(g\/g**(-1))**(-10\/13))\/(((g\/(g\/(g**(-5)*g)*g))\/(g**2*g))\/(g**(-6)\/(g\/g**(2\/9)))) assuming g is positive.\nAnswer: g**(-641\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, -453, -2082, -5257, -10494, -18309, -29218, -43737?\nAnswer: -62382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 751*y**4 + 36*y**3 - 8*y - 14983.\nAnswer: 9012*y**2 + 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 87324 to the power of 1\/2, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(13) + -1)*1 - (-2 + sqrt(117) + 0) - ((sqrt(52) + 1)*6 - ((sqrt(117) - sqrt(117)*-2) + 4)))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let y(h) be the first derivative of -1\/3*h**3 + 0*h**2 + 4*h - 3. Give y(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.242 - 0.058. Put -0.2, -2, o, -4 in increasing order.\nAnswer: -4, -2, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2906706874 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(72)\/sqrt(2))\/(sqrt(3) - (sqrt(132)\/sqrt(4) + sqrt(33))\/sqrt(11)) - (sqrt(144)\/sqrt(3)*1)\/((-1*sqrt(40))\/sqrt(10)).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1447 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*f - 32, 2*f + v = 2*v + 10. Let c(j) = 2*j**2 + 9*j - 5. What is the least common multiple of c(-7) and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.188834 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 5*c**2 - 2*c. Let j(q) = 8*q + 85. Let l = -153 + 143. Let p be j(l). Let h(x) = 2*x**3 + 11*x**2 + 5*x. Give p*z(u) + 2*h(u).\nAnswer: -u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 72199668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 3\/8, 1, -1\/2, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/40)\/((-1)\/(-10)). Suppose -s*w = -4*j - 0*j + 16, -w = 5. Suppose -d + 5*d - 20 = 0. What is the nearest to 0 in j, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -259, -389?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -50831372?\nAnswer: 50831366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30, 31, 32?\n\"Answer: z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 447 + -442. Let z be (-5)\/(-20)*(-8)\/(-5). Put z, -1.3, c in descending order.\nAnswer: c, z, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11 + 4*v**2 + 2*v**2 + 14*v**2. Let y(i) = -7*i**2 - 4. Let n(r) = -4*o(r) - 11*y(r). Let p(l) = 3*l**2. Determine p(n(w)).\nAnswer: 27*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*n = -83*n + 55. Let m(w) be the second derivative of -1\/10*w**n + 0 + 6*w + 0*w**2 - 1\/3*w**4 - 1\/3*w**3. Solve m(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*t + 1376, p - 208 = 3*t - 2265. List the prime factors of t.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4 = 4*a - 3, a - 5*t = 8. Suppose 11 = 4*k + a. What is the second derivative of -4*y + y + 2*y**2 - 5*y**k wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21622 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4 = -j, 0*k + 2*j = k + 8. Suppose k*c = 3*c - 282. What are the prime factors of c?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 6*g**2 - 25*g - 27. Let s(r) = -4*r**3 + 24*r**2 + 101*r + 108. Let m(y) = 2*s(y) + 9*z(y). Is m(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 359 = -2*o - 667, 0 = 2*s + o - 523. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*d + 80 = 0, 4*o - 3*d = 68 + 16. Suppose -2*u = 2*i - o, -3*u - 5*i - 12 + 42 = 0. What is the remainder when 29 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 4*b - 1\/12*b**4 + 1\/80*b**5 - 2 - 1\/4*b**2 + 5\/24*b**3. Let a(l) be the first derivative of d(l). Factor a(k).\nAnswer: (k - 2)*(k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2\/13 (c) -0.08 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tee when three letters picked without replacement from {t: 5, e: 15}.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c. Let h(a) = 4*a**2 - 22504*a. Determine b(h(t)).\nAnswer: 12*t**2 - 67512*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:38 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 212102203321?\nAnswer: 212102203330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-16)\/(-20) - 1). Suppose -5*q = -7*q + 2, -b*q + 5 = 2*p. Solve 2*j - 8 - 2 = p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k + 2. Let h be x(3). Let u = 13 - h. Which is greater: -11\/6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from {q: 1, x: 5, m: 5}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.631424 centuries?\nAnswer: 163.1424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43256 is divided by 14286.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112141 = -8390*c - 105999 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/(-18) + -11 - -12*1180\/660?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 times 270.102?\nAnswer: 11614.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8731 + -733. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2\/(-10) - (-190)\/50. Suppose x - q*x = -2937. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 24\/7, -0.0025, 0, 4, -23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*d + 27, -k + 1 = -0*k. Suppose 5*r + 7 + 11 = -s, -s = r + 2. Suppose -4*z + s*h + d = 4*h, 2*z + 4 = 2*h. Solve u + z + 1 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**3 + 13*g**2 - 172*g - 6. Calculate w(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 31*d - 119. Let q be t(6). Suppose -72*o - 390 = -q*o. Is o not equal to -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1025240 and 8201920.\nAnswer: 8201920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3594879?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/9))**5*((d\/d**(-10)*d)\/d)**(-1\/73) assuming d is positive.\nAnswer: d**(266\/657)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32936, -131743, -296428, -526997, -823456, -1185811, -1614068, -2108233?\nAnswer: -2668312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.17 + 88.83. Let l = a - 89.122. Round l to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**6 - u**5 + 2. Let x(n) = -102*n**6 - 4*n**5 - 2*n**4 - 442*n**2 + 8. Let v(r) = -4*g(r) + x(r). Find the third derivative of v(s) wrt s.\nAnswer: -11760*s**3 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, -2, -6008 in decreasing order.\nAnswer: 82, -2, -6008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-5)\/50*5. Factor 5\/4*p**2 - p**3 + 0 + 1\/4*p**4 - o*p.\nAnswer: p*(p - 2)*(p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 4861. Is f(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + 4 + 4*(-3 + sqrt(153)) + -1)**2.\nAnswer: -120*sqrt(17) + 2478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-333*11\/495)\/(2\/(-41770)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*f - 32, 2*s + f + 5 = 4*s. What is the greatest common divisor of s and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44.4 + 4046.\nAnswer: 4001.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 5*s + 3. Determine v(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 127469675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1167686?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x. Let w(u) = 7*u. Let o(q) = -6*w(q) + 7*y(q). Let b = 10500 - 10501. Calculate o(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 5*n + 0*n)*(-n + 3*n - 4*n)*(2*n + 2*n - 5*n) to h*n**2 + o*n**3 + y*n + g and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-3.82.\nAnswer: -15.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 3.797?\nAnswer: 30.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9*g + 1. Let h(v) = 3*v. Let d(z) = -7*h(z) - 2*n(z). Let o(k) = k. Calculate d(i) + 2*o(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l - 227082 = -15988. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46544041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 636266777 to the power of 1\/3, to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -1126246\nAnswer: -7\/1126246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 32. Let z be 1\/(w\/2*4\/(-138)). Let u be z\/(-24) - (-3)\/24. Solve u*j = -0*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 13 + 4)*(0*m - m - 4*m)*(-5 + 2 + 2).\nAnswer: -85*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 433, 447, 469, 499, 537?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microsecond in nanoseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*17\/(-170) - (6 + (-11952)\/2120)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 174\/(-435) - 5\/((-25)\/117502). Round t to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11870536 + -0.0502?\nAnswer: 11870535.9498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 21. What is the greatest common divisor of r and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h + 2. Give q(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -14*d**2 - 14*d + 6. Let i(u) = -5*u**2 - 5*u + 2. Suppose -396 = 524*n - 506*n. Suppose 2*y + 16 + 22 = 0. Let f = y - n. What is f*r(a) - 8*i(a)?\nAnswer: -2*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 6522 = -117622. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2546 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/5 - 414652*o\/5 = 0.\nAnswer: 0, 207326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*s = -2, 2*f - 4 = -5*s + 2. Let x(u) = -2*u**2 + 4*u + 25. Let k be x(-5). Let o = -50 - k. Which is the nearest to -2? (a) 1\/3 (b) o (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 15*l + 4. Suppose 4*a + 4*p + 27 + 33 = 0, 5*a + 55 = -p. Let n be (a - -8 - 5)*1. Calculate v(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*z + 7*z. Let o = -1 - z. Let u = 1 - -2. What is the closest to o in 0, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 116?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.73 < 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -195?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -50*w. Let l(j) = -10*j. Suppose 7*i - 49*i - 252 = 0. Calculate i*s(t) + 28*l(t).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -25256?\nAnswer: 12628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19 - 10*(-3)\/2) + (3 - -166). Suppose 52 = 4*u + 2*c, -2*c + 89 - 22 = 5*u. Calculate the greatest common factor of u and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 104.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*x - 6 = 18, x + 8 = 2*p. Suppose -3*r = -30 - p. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -423 - -425. Factor 2 + 98*h**g - 2*h + 2*h**3 - 102*h**2 + 1 + h**4.\nAnswer: (h - 1)**2*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**2 + 1. Let w be c(1). Let r be w\/9 - 1\/(-3). Is r - (-138)\/3 - 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85261641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 8. Suppose -v - k = -6*v. Let n(o) = o - 1. Let s be n(v). Is s at most -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 + 1388*g + 134971. Give d(-139).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqy when three letters picked without replacement from yyyqiiwmqyyy?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1741 - 1517. What is the least common multiple of k and 196?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (-30 - (-12 - (-20 - -13))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16 + 21 + 3*f + 37 + 16 with respect to f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -88 (c) -73059\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {y: 4, n: 4, o: 4, s: 3, a: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**3\/3 - 5*w**2 + 9*w + 3. Calculate the remainder when a(-10) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*c - 5*c - 10*c + c - 26*c to the form q*c + v and give q.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (1 + (1 - 5)). Suppose 2*z - z = l. Let t(m) = 12*m - 3. Let r be t(z). Calculate the highest common factor of 63 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -z - 5*b, -3*z + b - 1 - 1 = 0. Let g be (-20)\/3*(-12)\/10. Solve z = 3*f - g - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2855 + 4656. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -121 - 54 + 310*d - 615*d + 304*d as f + w*d and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooommoomoomooomoom. Give prob of picking 4 o.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 361171 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11652 + -4?\nAnswer: 11646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w - 4*w - w - 11*w as y*w + k and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -24*s + 18*s. Let b be (s\/(-2))\/(45\/(-18))*-5. Solve 3*d - b = -2*p, -d - 3*p - 18 = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, z: 12}. Give prob of sequence zzz.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m*w**4 - 13*m*w**3 + 2*m*w + 10*w wrt w?\nAnswer: -60*m*w**2 - 78*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(0 + 2\/(-4)). Solve q = 2*l - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1957 and 2?\nAnswer: 1959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (90\/240)\/(126\/(-140))*3\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a - 3. Suppose -2*g + 4*n = -4, -3*g + 5*n = -12 + 3. Suppose 0 = -0*l - 2*l - g. Is 13 a factor of z(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a micrometer in nanometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-3) - (-40 - 2 - 1). Suppose -n = -5*m + 5*w, -2*w = -5*m - 7*w - 5. Differentiate -10*c**m - 30 - 7*c**4 + 5*c**4 - 10*c**4 with respect to c.\nAnswer: -88*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3055 - 21383\/7. Let y be 24\/20*10\/3. Solve -2\/7*r**3 + 0 + 2\/7*r + 2\/7*r**y - h*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35384, 70773, 106164, 141557, 176952, 212349?\n\"Answer: b**2 + 35386*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1106126 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 + 540522755.\nAnswer: 540522756.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 6 = 2*d. Let w(b) be the second derivative of b**4\/12 - 3*b**3\/2 + 2*b**2 + 65*b - 2. Calculate w(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 814 and 23754.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4\/5, 0.4, -9, -7, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -15*o + 12. Let v(u) = u**3 - u**2 + u - 4. Let l(m) = m**2 - m + 1. Give o*l(y) + v(y).\nAnswer: y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d*h**3*r + 3*d*h**3 - 65*d*h*r - d*r + 134*h**3 wrt r?\nAnswer: 3*d*h**3 - 65*d*h - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2561 + 2617. Calculate the highest common divisor of 42 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 2*v**7\/21 + 16*v**6\/15 + 23*v**5\/5 + 28*v**4\/3 + 8*v**3 - 2*v + 15. Suppose k(j) = 0. What is j?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*q + 44 = 4*w, -q - 85 = -4*w. What is the least common multiple of w and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -3122013?\nAnswer: -3122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 24 = 2*k. Suppose -5*j = -4*g - k, -8 = -g - 3*g. Let b = j - -2. Calculate the least common multiple of 16 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 174 = -3*n, 0*y + y - 4*n + 50 = 0. Is 6 a factor of (2\/(-4))\/(3\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-350)\/(-21) - 2\/3. Let a be ((-4)\/(-10))\/((-3)\/(-180)). Let i = a - m. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -173, -347, -523, -701?\n\"Answer: -m**2 - 171*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2\/11 - 43785664*l\/11 + 479296092980224\/11 = 0.\nAnswer: 21892832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177\/55 + -17\/5. Let v = 199 + -201.02. Let j = -0.02 - v. Which is the biggest value? (a) k (b) -1\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 18*b**3 - 2*b**2 - 2*b + 11. Calculate the remainder when t(2) is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 l when four letters picked without replacement from {j: 1, s: 2, z: 7, y: 5, x: 4, l: 1}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 1. Suppose 10 = 4*a - 10. Suppose -10 = -a*x, t = -0*t + x + 2. Solve 0 = -c - 0*f + t*f - 23, 3*f - s = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*t = -14*s + 15*s - 201 - 179, -t + 64 = 5*s + 2*t for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 16\/(-78))*15\/20?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 70*c**2 + 53*c - 55. Is k(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23512462 to the nearest integer?\nAnswer: 4849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -51798*l + 19320650. Determine j(373).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05581 + 77.87581. Let k = -78 + g. Which is the second smallest value? (a) -0.3 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 236, 611, 1350, 2573, 4400, 6951, 10346?\nAnswer: 14705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 33 = -2*s - u, s + 4*u - 6 = 0. Solve -5*l = s - 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.341 + 55.241. Let t = -54 + m. What is the second biggest value in 0.2, 5, -0.3, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 10 - 16 + 17 - 6*r. Calculate f(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -17676 (c) 2\/13 (d) -1\/6 (e) 4 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nun when three letters picked without replacement from {w: 1, u: 1, j: 9, n: 2}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195*-65837.\nAnswer: -12838215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 6*v + 4. Let r be n(-8). Let d be (4\/r)\/(3\/(-72)). Let h = 3 + 37. What is the greatest common factor of h and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*s = -3*p + 3738, -305 = -3*p + 7*p - 4*s - 33 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10033 - 5767236?\nAnswer: -5757203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1, -2\/231, 0.2, -5.39?\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5289, -5264, -5223, -5166, -5093?\nAnswer: -5004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 707540232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526086 is divided by 8914.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hccj when four letters picked without replacement from {j: 2, o: 3, c: 1, h: 3, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1588507?\nAnswer: 1588507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-154)\/6)\/(0 - 5\/(-15)). Let i = 77 + t. Solve 3*r + 6 = -i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146.988 - 140.1569. What is o rounded to one dp?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5*(-2035)\/99 - 2\/(-9) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*h)*(0 - 4 + 6) + 3*h + 6*h - 14*h + (1 + 0 + 1)*(2*h - 4*h + h).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*k - 4*g, -3*k + 4*k + 4*g + 6 = 0. Calculate the common denominator of -85\/18 and (-103)\/8 - (k - 7).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5 - (-1 + (-3 - -11)))\/(-1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 13*o - 10*o - 27, -3*n + 12*o = 90. Put 0, -128, -14, n in ascending order.\nAnswer: -128, -14, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-27 - (-29 + 22))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*21\/56*1\/3. Let i = -22 + 21.99. Which is the closest to r? (a) -0.2 (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Suppose p = 5*b + 2, 3*b + 21 = i*p - 4. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24697*c**3*j + 3213*c**2*j + 2*c**2 wrt c?\nAnswer: -148182*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 4 (b) 3716 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5447.995*-0.12\nAnswer: -653.7594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + q**2 + 5*q + 74. What is the remainder when 590 is divided by g(0)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1903 and 2249.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -1607\nAnswer: -3214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 44553527?\nAnswer: -44553542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2309 + 4768. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 419135 - 297922. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 8:01 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 1\/2688*a**8 + 0*a**7 + 0*a**3 - 1\/960*a**6 + 0 + 0*a**4 + 0*a + 0*a**5 - 12*a**2. Solve k(n) = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -853*q**2. Let c(b) = -4*b - 30. Let x(l) = -2*l - 12. Let g(d) = 2*c(d) - 5*x(d). Calculate g(p(j)).\nAnswer: -1706*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**3 - i**3 - i**3 + 1 - i + 2*i**3. Let v = 5 - 2. Suppose 5*p - v - 2 = 0. What is n(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**5\/30 + d**3\/6 - 9*d**2. What is k(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170801 is divided by 4200.\nAnswer: 2801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + g**3 - 3*g**3)*(1074*g + 351*g + 2299*g + 865*g + 1165*g - 183*g).\nAnswer: -5571*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (80\/12)\/((-1)\/(9\/(-6)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 280*t**3 + t**2 + t. Let v be j(1). Suppose -3*b - 3*b + v = 0. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - (sqrt(30) - -6*sqrt(210)\/sqrt(7)))\/(sqrt(24) + sqrt(384)).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.979879 millennia to decades.\nAnswer: 97.9879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 8. Let v be f(4). Let k(d) = -6*d + 2. Let p(l) = -l**2 + l - 1. Let j(q) = k(q) + p(q). What is the units digit of j(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - g**2 + g**2 + 1 - 1 + (4 + 14 - 8)*(3*g**2 + g**2 - 2*g**2) in the form v*g**2 + z*g + k and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 13*l**2 - 20)*(2*l + 2*l - 6*l)*(-3*l**2 + 6*l**2 - l**2).\nAnswer: 52*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 7\/1 - (10 + (8 - 20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 1477*c**5\/20 + 11*c**4\/12 - 7*c**3\/2 + 22*c + 17. Find the third derivative of a(h) wrt h.\nAnswer: 8862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9*b**2 + 16*b + 165. Let s(k) = 4*k**2 + 8*k + 83. Let q(o) = 6*r(o) - 13*s(o). Is q(29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - 3*g**2 + 4*g**2)*(0 + 1 - 2) + (3 + 19 + 8)*(3*g**2 + 0*g**2 + 0*g**2) + 0*g + g**2 + 0*g.\nAnswer: 90*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n + 3*a, 0 = -4*n + 5*a. Suppose n = d + r, 0 = -2*d - 3*r - 2*r + 6. Let w = d + -1. Is w equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (32\/12)\/(4\/6) - 1. Suppose 6*c + q - s = 3*c, 5*q = -2*c + 15. List the prime factors of (-2)\/(-7 - -5) - (-45 + c).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-105)\/(-12))\/((-3)\/36). Let b be z\/10*1*-2. Let j(v) = v**3 + 7*v**2 + v - 23. Let y be j(-6). Calculate the highest common factor of b and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2.29, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -200.9?\nAnswer: -200.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55.999772 + 56. Round n to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 1:20 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141876091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 2)*(2 + 2 - 3) + 12 - 11 + 14)*(-19 + 4*i**4 + 19).\nAnswer: 56*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 7 = -3*t, -2 = -3*r - 54*t + 59*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 3*n = 27. Which is the nearest to 0.2? (a) 3 (b) 4 (c) 1\/4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11129 - -19873. What are the prime factors of p?\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3012350 to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7272 + t + 7237 + 4*t - 6*t.\nAnswer: -t - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1 = -4. Suppose -4*b + 4 + 0 = 0. Let w = 3 - b. What is the lowest common multiple of w and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/18)\/((-42)\/104)*(-1743)\/249.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 108*i**2 - 2104*i + 2080. Let p(d) = 23*d**2 - 421*d + 416. Let u(c) = -28*p(c) + 6*t(c). Factor u(y).\nAnswer: 4*(y - 208)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 174.5 - 175. Which is the closest to 0.1? (a) 4 (b) -2\/5 (c) 1\/2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = i - 0. Which is the nearest to i? (a) -0.5 (b) -0.3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115859*a - 57950*a - 58056*a.\nAnswer: -147*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15266542?\nAnswer: 2, 457, 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 9*y + 65*y**3 - 64*y**3)*(5 + 1 - 2)*(6 + 0 + 0)*(-1 + 3 - 3).\nAnswer: -24*y**3 + 192*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-8 - 21) - (3 + 0 - 12)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {n: 5, i: 4, b: 3, y: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = w + f, 2*w + 3 = 3*w + 5*f for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*l**3 + 780*l**2 - 2173*l - 204 = 0. What is l?\nAnswer: -1\/11, 3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/18691 in 0.8, -1\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -16. Suppose 14 = 3*r + 2. Suppose 0 = r*b - 20. Calculate the highest common divisor of b and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6325637467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34122 by -52.\nAnswer: 17061\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*y)*(2*y**3 - 4*y**3 + y**3) + y**4 + 2 - 2 + 9*y**4 + 0*y**4 - 2*y**4 to the form x*y**3 + h*y + k*y**2 + o + d*y**4 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 253 and 254 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + q - 57 = 2*r, 156*q - 386*q - 23119 = 149*q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7603 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 4*w - 3. Let a = -4 - -8. Suppose -4*s + 4*j = 28, 2*s + 2 = -a*j - 0. Let r be u(s). Solve 0 = r*f + k - 13, 0 = -2*f - f + 5*k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 64 = -16. What is the tens digit of h\/(-9)*(44 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/((-9)\/4). Which is the third biggest value? (a) v (b) 5 (c) -1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -834 divided by -10500.\nAnswer: 139\/1750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026066 (base 8) in base 10?\nAnswer: 273462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 75.1026 kilometers?\nAnswer: 75102600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -270*r + 20 + 252*r + 26. Let i be z(4). Let q be 1\/(i\/(-6) + -4). Sort 1, q, 4 in increasing order.\nAnswer: 1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f - 9 = -a, -66 = -5*a + 3*f. Calculate the remainder when 59 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l. Let z be -10*1 + (-1 - -1). Let o = 13 + z. Let f be k(o). Solve f = -p - 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 + 69*b**3 + 1.\nAnswer: 69*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4c - -1?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.496 times -12316?\nAnswer: -30740.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 212\/6 - (-30)\/45. Let x be (-20)\/9 - i\/(-162). Let a(l) = 3*l**2 + 2*l - 2. Let q be a(x). Solve 0 = -u - 2*u - q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/4*(-204)\/153?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24855 times 8\nAnswer: 198840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-5*5\/(-450)). Let x be -1 - m\/22 - (-9184)\/176. Let g = x + -47. Put -3, -4, 4, g in increasing order.\nAnswer: -4, -3, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 21 = 5*l. Let t(x) be the third derivative of 0*x + 0 + 1\/24*x**4 + 2*x**2 + 1\/60*x**5 - 2\/3*x**l. Give t(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70605257 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/68 - -81\/17. Let u = -9\/2 + x. Let -1\/4*s + u*s**2 - 1\/2 = 0. What is s?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100\/3 - 34. Which is the closest to 2\/3? (a) 3 (b) 1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -33*q - 85. Calculate t(6).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*a + a. Let r = 275 + -275. Let n be (-552)\/(-72) + (-5)\/3. Put r, n, a in ascending order.\nAnswer: a, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7651581 rounded to 3 dps?\nAnswer: 1.765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - g + 6. Calculate the remainder when i(-3) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/2523 - -20257\/184179. Let a = u - -25\/438. Is -1 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3103 - -3112. What is the highest common factor of 381 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 39, -5, 666 in ascending order.\nAnswer: -7, -5, -3, 39, 666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-3 - (15\/(-5) + -2). Let f = -465727\/108 + 4312. Let d = 1\/27 + f. Which is the nearest to 1? (a) 2\/17 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10903771133 + 5*p**3 - 10903771133.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1234\/55 + -238\/11. Let l = -0.1 + 0.1. Let b = l - -0.1. What is the third biggest value in n, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b5347e + 2?\nAnswer: -b5347c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooox when four letters picked without replacement from xooxoxxoxxox?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**3 + 20*l**3 + 61126 + 13*l**3 - 61126.\nAnswer: 22*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-32))\/(3 - 5).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+131.58\nAnswer: 132.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 798885\/(-25)) + 6\/10. Suppose 0 = 21*p - 55*p + b. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15719 and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*i + 5. Let a = i + 4. Let p(t) = 17*t - 10. Calculate the smallest common multiple of a and p(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 8. Let l be c(-6). Let t be ((-19391)\/3)\/(l\/(-12)). Let g = -349145\/18 - t. Calculate the common denominator of -37\/10 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or -4.8?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(3474\/570 + -6). Let w = 55\/76 - t. Which is the second smallest value? (a) w (b) -1 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*v + 103. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 6779?\nAnswer: -6777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*v + 14*v + 2*v)*(8*v - 6 + 6)*(-3 - 4 + 4) - 2 + 2 - v**2)*(0 + 0 - 1 + 1 - 3 + 3 + (3 + 2 - 4)*(4 - 2 - 3)) as z*v + q*v**2 + f and give q.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -156*u**2. Let j(h) = 4*h**2. Give m(j(a)).\nAnswer: -2496*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**4\/12 - w**3\/6 + 5*w**2 - 1. Give m(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + 0 + ((sqrt(66) + (sqrt(66) - (-5*sqrt(66)*2 + sqrt(66))) - sqrt(66))\/(sqrt(6) + sqrt(36)\/sqrt(24)))**2)*1.\nAnswer: -4427\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 992229 and 105837760.\nAnswer: 317513280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312388.\nAnswer: 2, 29, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/154 and -85\/1876?\nAnswer: 20636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 236 = 0, -275 = -13*j + 43424*s - 43428*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/18)\/(6\/189*-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2213*r**3*v**3 + 2733*r**2*v**3 wrt r?\nAnswer: 13278*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 15, 0*x - 2*x = -j - 3. Suppose -4*o + 4 = -0*o, x*t + 4*o = 12. Find the second derivative of 101*z**4 + z**2 - z**t + 4*z - 116*z**4 wrt z.\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2003 + -1010303?\nAnswer: -1002300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33.5846586+-34\nAnswer: -67.5846586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/(-4 + 712\/180). Suppose -17 = -8*k + r. Let c be k\/((-1)\/(-1))*3\/(-2). Is -6 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*m - 3*f - 168, -2*m = 5*f - 61. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22665 and 72.\nAnswer: 543960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 1)*((0*d + 0*d + d)*(0 - 3 + 1) + 3*d - 3*d + d) + 4*d - d - d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 216854191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4721 - 1580 - 1572 - 10*h - 1569.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3168 and 183606192.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.57\nAnswer: -2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*(u**(-6\/11)\/u)\/u*u)\/u)\/(u\/(u*u**(-3\/10))))\/(u**(-8))**(-2\/29))**14 assuming u is positive.\nAnswer: u**(-53529\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36.025 + 2.045. Let a = -34 - v. Let q = 0.52 + a. What is the closest to 2 in 1\/4, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 33422460.\nAnswer: 66844920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-10) - 6\/(-10). Suppose -2*a - v*f + 49 + 33 = 0, a - 33 = -5*f. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2118510 and 19845?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-12)*n)*n*n**(-8))**(-24) assuming n is positive.\nAnswer: n**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-38)\/133 + 148\/28. Let n(d) = 5*d - 19. Give n(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71190 is divided by 11815.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 127 (b) -21\/13 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 14*w = 10*w + 336 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1228.6 rounded to the nearest 10?\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33, -305, -1039, -2463, -4805, -8293?\n\"Answer: -38*x**3 - 3*x**2 + 3*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxlmmdg. Give prob of sequence ml.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -625.034 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.141 to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/406? (a) -1\/43 (b) 3 (c) -3 (d) -0.5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2016\/98)\/18*(5\/(-2))\/(-5).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-5*o - o + 5*o) - o - 4*o + 4*o + (-2*o + 0 + 0)*(-1 - 1 + 0) + 1109983 - 1109984 - 94*o + 1627*o.\nAnswer: 1534*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 7*s - 2. Let o be v(8). What is the third derivative of -3*f**2 + 0*f**6 + 2*f**o + 3*f**2 + f**2 wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**3\/3 + 9*x**2\/2 - 6*x + 11851. Suppose -5*a = -0*a - 2*m - 40, 2*a - 16 = -3*m. What is j(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 181120 and 1920.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 25, -2*m - 6 + 21 = -5*o. Let x = 1 + 0. What is the smallest value in o, x, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1285*z - 14398 = -1090*z - 821*z for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -164 and -3?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-738)*-2)\/(6480\/(-38880))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*l = -151*l + 64. Let h = 0 - 0. Solve h = -5*t, 3*o - l*t = 3*t - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436253761?\nAnswer: 61, 117241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**3 + 6*d**3 - 3*d**3)*(-2 + 36*d + 49*d - 3*d)*(17 + 0 - 5) in the form u*d + l*d**3 + n + q*d**4 + f*d**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 2:55 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-7) + 634\/7. Suppose 0*q - 5*q = -v. What is the lowest common multiple of 20 and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -0.03293983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**8\/280 - c**4\/4 - c**3\/3 + c**2. Let l(n) be the first derivative of h(n). What is the first derivative of l(m) wrt m?\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 0*a + 7*a + (2 - 2 - 141*a + 76*a)*(2 + 2 - 2).\nAnswer: -125*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - p + 6 = 0, 48*a + 15*a + 5*p - 34 = 101*a + 22 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - t - 1. Let p be m(2). Suppose -w + 8 = 3*s - 3, 4*s - 21 = p*w. Let q be -3 + w - -3 - (2 + -24). Is q equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 1. Let r(s) = 4*s + 1. Let j(q) = b(q) + r(q). Let u be j(-6). Let c = 23 - u. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, -25, 36?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137914834?\nAnswer: 2, 68957417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 11*t**2 + 3*t + 36. Let b be r(-11). Suppose 1255 = -b*x + 8*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9660.80708 rounded to the nearest one hundred?\nAnswer: 9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 7. Suppose -4*y - 12 = 8. Determine h(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-2))\/(4\/(-8)). Let p be (d - -3)*(-1)\/1. Solve -u = c + 1, -2*u + p = c + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4329 - 4329.006571. Round v to 4 decimal places.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*n - 34, -4*h - 2*n - 28 = 2*n. Which is the nearest to h? (a) 2 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -5*p + 15. Suppose p*l + l = 0. Suppose -2*j - j = -5*f + 78, 4*f - 2*j - 62 = l. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*u, -3*m - u - u = 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1180*t**3 - 3*t**4 + 596*t**3 + 583*t**3 - t**2 + 12*t to z*t**4 + b*t + o*t**2 + d*t**3 + f and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -13163354793?\nAnswer: -13163354795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -r - 4*r. Let k = -32 + r. Let d = k + 16. Solve 2*n = -d*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -90?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**2 - 3*n**2 + 0*n**2 + 0*n**2. Let y(f) = 14*f**2 + 8*f - 8. Let l(g) = 9*g**2 + 5*g - 5. Let z(h) = 8*l(h) - 5*y(h). Determine j(z(q)).\nAnswer: -28*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79.097 - -79.497072. Let a = -1.6 - -1.2. Let p = z + a. Round p to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.116? (a) -0.3 (b) -0.5 (c) 0 (d) 5 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7 + 3.7. Let u = j - 1. Let i = -2\/35 + 104\/595. Sort u, 0.5, i in ascending order.\nAnswer: u, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2401 + 0.2401. Let v = -23\/43 + 627\/1333. Which is the third smallest value? (a) 5 (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -46*p**3 + p**2 - 23*p - 49. List the prime factors of r(-3).\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1343 + -4. Let n = l - 930. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - t + 10437 = 0, 3*g - 5623 = -5*t + 626. Suppose 0 = 6*n - 2*n - g. Let q = n - 269. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 63 = 2*t - t, 0 = 3*f + t - 39. Suppose 3*z + 2*s = 367, 5*z + 3*s - 610 = -0*s. Calculate the remainder when z is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a**2 + 8*a**2 - 11*a**2 - 83*a**2.\nAnswer: -109*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -1696348061.\nAnswer: 1696348061.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.99 - 1. Suppose 32*g - 29*g - 6 = 0. Suppose v = a - 2, -3*v + 0 - 1 = -g*a. Sort v, 0.4, h in increasing order.\nAnswer: h, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 11:24 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6063 (base 9) to base 10.\nAnswer: 4431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*z + 4 = 0, 11 = 2*r - z + 3. Let n = -53 - -59. What is the lowest common multiple of n and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-6)*186\/4 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -7\/4, 0.5, -6\/7, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.91 + -395.\nAnswer: -394.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/8556 and 12\/341.\nAnswer: 94116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.5 + 6. Suppose 26*x = -7*x. What is the third smallest value in 2\/17, x, 1\/3, w?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, 9, 16?\n\"Answer: 7*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1158714 less than or equal to -1158714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340206 divided by -56701.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001542264065 rounded to five dps?\nAnswer: -0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 (base 11) in base 8?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 45. Suppose -78 = -5*k - p, z*k + 3*p = -p + 72. Suppose -2*q + 0*o - 14 = -4*o, 3*o = k. Solve -2 - q = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 11 = l, 2*d = -4*l - 0*l + 26. Suppose -4*w + 16 = t, 0 = w + 3*w - l*t + 4. Solve v - w*v = -6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6259, 2311, -8393, -29231, -63581, -114821, -186329?\nAnswer: -281483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3659, -14611, -32833, -58301, -90991, -130879?\nAnswer: -177941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17840 by 3.\nAnswer: 17840\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 76*u**2 + 2202*u - 1012. Calculate i(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21100100102002 (base 3) to base 2.\nAnswer: -1110111001001001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -51925766.27 rounded to the nearest 1000000?\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 1. Let u be d(-1). Let x be (1 - u)\/((-5)\/(-65)). Suppose 53 = 2*q - x. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -135 - -183. Differentiate 115 - 55 - l - g + 8*g**2 with respect to g.\nAnswer: 16*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9*u**2 + 54*u - 54. Let x be (-94)\/(-376)*(-1 + -3). Let p(v) = v - 1. What is x*n(g) + 54*p(g)?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-816)*-4)\/((-49)\/((-6664)\/(-34)))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1 - (-75)\/74). Let i = z - -104. Suppose -16*u = -21*u + i. What is the least common multiple of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-10))\/g**8*(g*g*g\/(g\/g**(3\/5)))**(1\/38) assuming g is positive.\nAnswer: g**(583\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5) + (17 - 31) + 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 3582499.\nAnswer: 358249.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/14*(-1 + 8). Suppose -q*t = 3*j - 18 - 0, -4*t + 12 = 0. Suppose j - 4 = -2*y. Solve m - 3*o = -7*o + y, 3*o = -2*m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-20 - -7) - (0 + -5 + 2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c**2 + 8*c - 2. Let j(u) = -3*u**2 + 4*u - 1. Let p(s) = -2*f(s) + 4*j(s). Let x(g) = -6*g**2. Determine x(p(k)).\nAnswer: -96*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 8. Let g(h) = 3*h + 9. Let t(y) = 5*g(y) + 6*n(y). Let s be t(1). Which is the second biggest value? (a) s (b) 2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - ((-25)\/6 + 8\/48). Suppose 2*m = -2*u + 46, j*m + 80 = 7*u - 2*u. Let x be (-2)\/5 - 194\/(-10). Which is greater: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, -4, -2\/52983, 7, -0.2, 5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3471.\nAnswer: 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 7 - 69*a - 20)*(2*a**2 + 10*a**2 - 6*a**2) in the form x*a**2 + h*a + n*a**3 + s and give n.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2879 divided by 4\nAnswer: 2879\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 5*m - y + 11, -3*m - 45 = -3*y. Let r(q) = q**2 + 16*q + 16. Calculate r(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 3*(1 + sqrt(1088)) + -1)**2 + 4.\nAnswer: 128*sqrt(17) + 17416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639934380 a multiple of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3727\/7 - -571. Is 39 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14300431241414 - -2?\nAnswer: -14300431241412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1 (c) -15 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -241?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5577 - -31210. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 6*u**2 - 2*u + 4. Let a be 75\/20 - -2 - (-3)\/12. Determine v(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 6. Suppose 10 = -o - 4*o - 4*c, l = -2*o - c - 4. Put 4, 5, o in descending order.\nAnswer: 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 1111845.\nAnswer: 4447380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**2 + 22*j - 7. Is i(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0472052383 take away -57027.6?\nAnswer: 57027.6472052383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16365 less than or equal to 16139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5) + sqrt(125)*2)**2*1.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43 - 108 - 818*g**4 - 454 - 217*g**4 + 4 wrt g?\nAnswer: -4140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1192 and 824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7671 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*x + 168*x - 35702*x**2 + 35668*x**2 - 333*x.\nAnswer: -34*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 732 - 731.5. Let n = -12 - -6. Let r = n - -5.8. Which is greater: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/4550 and 19\/7370.\nAnswer: 3353350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -23*k**2 - 110*k + 12. Let z(v) = 7*v**2 + 36*v - 3. Give 2*g(p) + 7*z(p).\nAnswer: 3*p**2 + 32*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, m: 5, g: 1}. Give prob of sequence gxxm.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 381273 and 6?\nAnswer: 762546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(300))**2.\nAnswer: -40*sqrt(3) + 602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/49)*m**(-1\/3)\/m*m**0*(m**(-6\/11)\/((m*m\/((m*m*m**(-1))\/m)*m)\/m))\/((m*m*(m\/(m*m**(-1)))\/m)\/(m\/(m\/m**(-1\/6)*m)*m)) assuming m is positive.\nAnswer: m**(-6473\/1078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -45 (b) 19 (c) 0.04 (d) 3 (e) -3\/4 (f) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.28890043 rounded to 4 dps?\nAnswer: 1.2889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 3*r - 8*r + 5*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2 - 9*w - 5. Let c(m) = m**2 + 4*m + 3. Let s(q) = 5*c(q) + 2*g(q). Suppose 5*x = -d + 29, -3*x = -10 - 5. What is s(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 737 = 607 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from bggllblpglgflbglpllp.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from {w: 1, a: 4, d: 2, p: 1, u: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20048 and 427357488?\nAnswer: 2864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -6\/17, 5, -2\/825, 33 in increasing order.\nAnswer: -0.5, -6\/17, -2\/825, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -797\nAnswer: 3985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + 3*u - 3*u)*(4 - 12*u - 4) - u**5 + 2*u**4 - 2*u**4.\nAnswer: 11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 16, -16 = -4*t - 0*t + x. Let n be 40\/24 - t\/(-9). Solve 0 = y - 2*b, n*y = -3*y - 2*b + 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 4. Let c(r) be the third derivative of -r**4\/8 - 7*r**3\/6 + 30*r**2 - 2. What is 3*c(z) - 5*n(z)?\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 3)*220\/(-15). Suppose 0*w = 5*l - w - 238, -w + f = l. Let z = -33 + l. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9998 + -25619632112.\nAnswer: -25619622114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 18 = -5*s, -5*h + 894 - 824 = -5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, y: 7}. Give prob of sequence yyyv.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31148, -31204, -31260, -31316, -31372, -31428?\nAnswer: -31484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 33*p + 6*p - 120*p + 37*p + 0*p + (3 + 0 - 2)*(-p + 2*p - 3*p))*(-5*p + p + 3*p)*(-p + 0 + 0).\nAnswer: -43*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a week in hours?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**2 - 16*x + 48. Let a be z(-6). Solve a = v - 3*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4619708 times -0.1\nAnswer: -461970.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**4 - 2802*k**3 + 674172*k**2 - 47528910*k - 148730175 = 0.\nAnswer: -3, 165, 607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4))**(7\/12))**24\/((o**(-2))**(-42)*(o\/o**(-2))**9) assuming o is positive.\nAnswer: o**(-229\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 680, 2573, 7764, 17921, 34712, 59805?\nAnswer: 94868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -373 - -3?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -410 - -96. Let z = k - -319. Solve -z = -w - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20634 and 3246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -4*l**5\/5 - 2*l**4 + 44*l**3\/3 + 24*l**2 - 402. Factor u(q).\nAnswer: -4*q*(q - 3)*(q + 1)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 2*o + 2. Let i be v(-9). Let c = 81 + -26. Let u = i - c. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4347 divided by -621?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*l - b - 37, 5 = -5*l + 29078*b - 29080*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**3 + 6*f**2 + 4. Let s(b) = -3*b**3 + 7*b**2 - 4. Let i(z) = 2*z**3 - 4*z**2 + 1. Let h(k) = 7*i(k) + 3*s(k). What is -6*h(j) - 7*l(j)?\nAnswer: -2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0079, 5, -2.\nAnswer: -2, -0.0079, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 673654183 to the power of 1\/2, to the nearest integer?\nAnswer: 25955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -11*s - 5. What is the remainder when ((6\/(-4))\/(77\/(-1056)))\/(48\/168) is divided by m(-4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 5*y**2 + 4. What is u(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.27 + -0.2683. Round h to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46895 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*c, c - 50 = -3*g + 3*c. Suppose 3*m + 3 = 0, -g = -4*x + 2*m - 2. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526 = 4*s + 5*l, -272 = -2*s - 222*l + 224*l. Calculate the greatest common factor of s and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-56677*f + 56677*f + 112*f**2)*(5 - 5 - 1) to the form d*f + v + m*f**2 and give m.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 12:15 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/2 + 29*y**3 - 981*y**2\/2 - 4859*y + 5320 = 0.\nAnswer: -70, -8, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 7)*(0*b + 0*b - 4*b)*(0*b**3 + 3*b**3 - 5*b**3).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8*g**3 - 2*g - 2. Let r be d(-1). Suppose 0 = 3*t + 21 - 0. Let j = r - t. Is j less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 4*n - 2*n - 8, 0 = 2*c - n - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 6) to base 13\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 360 + 229. Let m = -254 + j. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - 111\/2. Let t be -23 - (-1 - -2)*1. Let o be 2\/4*t\/(-15). Which is the closest to 0? (a) o (b) -1\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/56)\/(42\/224)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(44)\/sqrt(4) + -2.\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -210763.698 rounded to the nearest one thousand?\nAnswer: -211000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 444 and 666.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2988049, 2988070, 2988091?\n\"Answer: 21*m + 2988028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 463, 0, -1, 1, -15 in increasing order.\nAnswer: -15, -1, 0, 1, 463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2646 and 62034?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-3)*(-3)\/2. Let r(y) = -y**2 - 6*y - 3. Let c be r(-5). Find the third derivative of p**4 + 3*p**c + 3*p**2 - p**m - 3*p**2 wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504 and 1638?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 3*z - 33, 32*x + 4*z + 37 = 27*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-10) - (3 - (3558\/372 + -6)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -42*c**2 + 59583*c - 178381. Determine g(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2768 and 6747?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-21))\/((-2)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 3 + 0*w - 2\/3*w**3 - w**2. Factor d(p).\nAnswer: -2*p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1. Let q(u) = -4*u**2 - 2. Let f(r) = -14*o(r) - 2*q(r). Differentiate f(g) with respect to g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-9))\/(55\/(-30) - -2). Suppose w*m - 62 = -4*s, m = s - 0*m - 14. Suppose 8*p = s*p - 42. What is the highest common factor of p and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -21*i**5\/20 - i**4\/6 + i**2\/2 + i. Let a = 2 - 3. Is p(a) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.27, -0.0279, -0.0199, -0.6?\nAnswer: -0.0279","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/320 and 33\/20.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 1:05 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/2)\/1*5. Suppose -s + 3*y + 16 = 0, -27*s + 22*s - 4*y - 53 = 0. Sort s, i, -32 in descending order.\nAnswer: i, s, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*p = 29 + 2, -3*p = -z + 17. Suppose -5*d = -z*d + 24. What is the least common multiple of d and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c (base 14) to base 10\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6cd - -4?\nAnswer: -6c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 45?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 446622?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p. Let f(l) = -3*l**2 - 54*l. Give f(c(h)).\nAnswer: -48*h**2 - 216*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 311560, 623116, 934672, 1246228, 1557784?\n\"Answer: 311556*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(9\/4)\/q*q**(-17)*q**16*q\/(q\/(q*q**(-4\/3)*q)*q) assuming q is positive.\nAnswer: q**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 6*h - 14. What is the tens digit of q(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/2894 - 26786\/15917. Find the common denominator of o and 87\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-21)\/14)\/((-2)\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -23 + 9 + d + 2. Calculate l(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20113 divided by -195\nAnswer: 20113\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-648)\/21060*130*13\/32?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c + 12 = 0. Let x = -2 - -1.6. Let a = x + 0.8. What is the nearest to a in 0.4, -1, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, j: 1, l: 2, a: 1, r: 5}. What is prob of sequence rjal?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 294127580 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 856633833.\nAnswer: 3, 11, 2884289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 9*c - 26. Let l be k(6). What is the remainder when (132\/l)\/11*-42 is divided by (-44)\/(-3)*6\/4?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 8*m**2 - 16*m + 9. Let l be y(8). Is l < -119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81696)\/1472*(-7)\/((-105)\/(-10)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 52*r**2 - r - 116. Determine i(-52).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 25*g + 504 = -0*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxxykxxxoxoxkxxk. What is prob of sequence ky?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*-718877\nAnswer: 93454.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 25*p. Let k be -1 - -2 - 9\/(-3). Suppose k = 5*m - 1. Is 9 a factor of z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56451, -56372, -56291, -56208, -56123, -56036?\nAnswer: -55947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b\/(b\/(b\/b**(4\/5))))\/b)\/(b\/b**0))**(1\/5))**(16\/9) assuming b is positive.\nAnswer: b**(-64\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669*t + 286*t + 1155 = -328*t for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20226 * -45.1.\nAnswer: 912192.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 0*r + 1\/2*r**2 - 8. Let f(w) = -3*w. What is g(f(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -43) + (4828 - 4872).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1)\/(-10) + 35\/150\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 174*g - 66 - 525*g + 176*g - 133 + 177*g.\nAnswer: 2*g - 206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by 148.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 10. Let p be r(-5). What is the nearest to -2 in 3, p, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 784 and 10976?\nAnswer: 10976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k - k + 3*k)*((-1 - 1 + 4)*(1 + 1 - 6) - 99 + 38 - 76) to the form o + w*k and give w.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 1020?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 182*m - 38671. Determine f(215).\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 greater than or equal to 249\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**5\/510 - r**4\/68 + 4*r**3\/51 - 6141*r**2 - r. Factor b(u).\nAnswer: -2*(u - 1)*(u + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(10\/5)\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2706 + 25026. Let n = m - 14747. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54545613 is divided by 432?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.26, 0, 0.4, 3 in decreasing order.\nAnswer: 3, 0.4, 0.26, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + p**3 - 5*p**4 + 3 + 3*p**4 - p**4 - p + p + (3 + 2*p**3 - 3)*(-2*p + 0*p + 3*p) - 4*p**4 - p**2 + p**2.\nAnswer: -5*p**4 + p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 3) to base 16\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151\/6 or 33?\nAnswer: 151\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 + r**3 - r**2)*(1 - 1 - 8*r) - 17*r**2 - 834*r**4 - 158*r**3 + 833*r**4 + 14*r**2 to v*r**4 + y*r**3 + f*r + o*r**2 + l and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f**2 + 66*f - 12. Let p be x(8). Suppose 7*t - p*t - 3069 = 0. What are the prime factors of t?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9203.305 weeks in seconds?\nAnswer: 5566158864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**3\/6 - o**2\/2 + o + 26. Let t(y) = -2*y - 2. Give -4*p(d) + t(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -589*x**4 - 9617*x**2 - 97*x + 17793?\nAnswer: -7068*x**2 - 19234","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*39\/(-156).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 - -2.9. Let s be 2\/11 - 404\/(-198). Let m = s - 32\/9. Which is the smallest value? (a) -0.1 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31 times 0.3?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5230)\/(-126) + 6\/(-27). Let d = -610089 + 21354728\/35. Let q = y - d. Calculate the common denominator of q and -157\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 15 = -d + 5*h, -4*h - 31 = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 + 38 = 4*c, c = 3*y + 28. Let h be (-3)\/4 + (-6)\/y. Solve h = -2*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/8)*f)\/f**(-2\/29)*((f\/f**2)\/f)\/(f*f*f\/(f*f**9)*f) assuming f is positive.\nAnswer: f**(1147\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**5\/60 + g**4\/4 - g**3 - 2*g**2 + 26*g. Let s(n) = 4*n - 1. Let w be s(2). Is o(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-59111)\/(-3) + (-28)\/42. Suppose d = -3*v - 5*t, -v - 4*t = 8226 - 1656. Find the common denominator of 61\/6 and (-6)\/(-10) - v\/1540.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6 and -562.\nAnswer: -562.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 705 = 5*z, -2*p + 12*z + 288 = 13*z. Let t = p - 141. Solve -2*i - 22 = -5*v, 3*i + 2*v = -t*v + 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.94 - -14. Let y = -0.04 - n. Which is the nearest to y? (a) 0.3 (b) 0.6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2732 or 2731?\nAnswer: 2732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 12 - 3 - 2*a + a. Let j(h) = -h + 18 + 4 - 16. Let m be j(2). What is k(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.09971 tonnes in micrograms?\nAnswer: 89099710000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from aua?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 - 97. Suppose -3*i = 2*c - 9 - 16, -10 = -4*i + t*c. Let d be (-4 - -1 - -2)*0. Solve -2*k - 3 = 1, -i*u - 5*k - 10 = d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65839 less than 0.5?\nAnswer: 65839.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 9 + 7 = 2*f, 4*n - 16 = 0. List the prime factors of f - -1 - -24 - 2.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 7*j**2 + 2. Let b be z(7). Suppose b*m + 62 = 4*i, -8 = -0*i - i - m. Let v = -3 + 8. Calculate the remainder when i is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + 0*x + 2*x)*(1 + 0 - 5)*(6*x - 10*x - 28*x) in the form q*x + b*x**2 + z and give b.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 119844*k = -119849*k + 15, -3*f + 2*k - 45 = 0 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*n - 1053 + 1437. Let v(u) = -u**3 - 4*u**2 - 3*u + 4. Let s be v(-5). Calculate the greatest common divisor of n and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, j: 1, l: 1, h: 1, k: 3, d: 1}. Give prob of picking 1 j and 1 d.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 2*t**2 - 26*t - 21. Let v = -76 + 70. What is the units digit of i(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 1:52 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 1\/(-8) + (-7191)\/(-376).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 124474952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 5*p**2 + p + 5. Let b be n(-5). Suppose b = -11*t + 9*t + 6. Factor -57\/5*j**t - 48\/5*j - 12\/5 - 3\/5*j**5 - 21\/5*j**4 - 15*j**2.\nAnswer: -3*(j + 1)**3*(j + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762413?\nAnswer: 19, 40127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 254854 and 1471056?\nAnswer: 3226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 3. Let a be q(-2). Let r be a\/(-2)*(-4)\/(-3). Suppose -2*v + 28 = -2. Solve k + r*k = v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -1\/70*f**5 - 1\/7*f**2 + 1\/42*f**4 + 0 + 1\/21*f**3 + 3*f. Solve r(s) = 0 for s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.159157907 to five decimal places.\nAnswer: 0.15916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 0*t**2 + 2*t**2 + (-8*t + 10*t + 25*t)*(0 + 0 - t) + 4*t**2 - 4*t**2 - 2*t**2.\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 93.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 0*q**3 + 0*q**2 + 5\/2*q**5 - 23\/12*q**4 + 0 + 2*q. What is the third derivative of z(i) wrt i?\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -158*r**5 + 2*r + 20?\nAnswer: -3160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from hbbhq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3)\/9)\/(16\/(-3)) and -25\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 874 and 1058966.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**2 + 10*i - 3. Let t(s) = -3*s**2 - 5*s + 1. Let b(d) = -4*l(d) - 9*t(d). Let p be b(5). Solve p*z + 3 = 5*g, -2*g - 2*z - 2 = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-127)\/(24765\/715))\/(2\/6)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.8595059 to three decimal places.\nAnswer: 16.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, -0.47, 5\/6, 0.1 in descending order.\nAnswer: 11, 5\/6, 0.1, -0.47, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/2)\/v*v*v\/(((v**0\/v)\/v)\/v))**(3\/10)\/(((v\/v**2*v*v)\/(v*(v*(v*v**2)\/v)\/v))\/(v**(-4)*v**(4\/7))) assuming v is positive.\nAnswer: v**(73\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 13*u**3 + 4*u**4 - 17*u**3 + 35*u**3 - u**2 - u**4 as v*u**2 + b*u + y*u**3 + x*u**4 + n and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -10*q + 156. Let j(n) = 2*n - 31. Let a(w) = -11*j(w) - 2*m(w). Let p be a(14). What are the prime factors of (p + 129)*(-6 + (-204)\/(-30))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 669 - 4013\/6. Which is the smallest value? (a) -1 (b) o (c) -254\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77*16*(-3)\/(-336)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5195 is divided by 1113.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3493719 by -27.\nAnswer: 129397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16275\/(-186)*45\/(-630)\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/1 + (-6)\/18.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.6324804 millimeters?\nAnswer: 0.06324804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*-1*-5.\nAnswer: 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 374*z**3 + 24*z - 893*z**3 + 3 - 45*z + 32*z + 19*z wrt z?\nAnswer: -3114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799343 divided by 78?\nAnswer: 799343\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4\/4 - 8671*i**3 - 301160715*i**2\/4 - 1801756775*i + 1877055625 = 0. What is i?\nAnswer: -17330, -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -964, -768, 566, 3038, 6648, 11396, 17282?\n\"Answer: 569*c**2 - 1511*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 23 (c) 3 (d) 26 (e) -1\/6 (f) -4\/143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irriihiiriiiiiirhrrr. Give prob of sequence irri.\nAnswer: 77\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 m, and 1 u when three letters picked without replacement from uuammxu.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 21*p - 97. Calculate c(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2) + (-326)\/(-163). Suppose -3*h - a + 1 = 0, -3*h + 2*h = 5*a + 23. Factor 10*z - i - h + 7*z**2 - 12*z**2.\nAnswer: -5*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*u + 109*u + 0 + 0.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + -100000110001?\nAnswer: -100001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7075232?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-54)\/(-4) - -10)\/(1\/142)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -95074, -95241, -95520, -95911, -96414, -97029?\n\"Answer: -56*r**2 + r - 95019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055348423 times -0.13?\nAnswer: -0.00719529499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**3 - 5 + 5 + h**3 - 5*h**3 + 2*h**3 + (-59*h**2 - 40*h**2 - 9*h**2)*(-2*h + 6*h + 9*h))*(2 + 3 - 7) in the form r*h + p*h**3 + i + y*h**2 and give p.\nAnswer: 2810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -270*c + 271*c, -3*c - 3*o - 12 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-424)\/20)\/(2\/(-10)). Let f be d\/3*(-726)\/4. Let g = -13013 - f. Round g to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4\/7 (b) 2\/5 (c) 1.03017 (d) -1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (sqrt(147)*3 + sqrt(147) - sqrt(147))*-1)\/sqrt(7))\/(sqrt(28)\/(3*sqrt(20)\/sqrt(5))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 81 + 360 = -3*a, -563 = -4*x + 5*a. Let b = x - 32. What is the greatest common divisor of b and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {f: 3, w: 1, z: 1, k: 3, l: 2, v: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232, -1328, -3240, -5974, -9536, -13932?\nAnswer: -19168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 6 + 5*z + 4*z - 7*z. Suppose 4*b = 20 - 8. Calculate j(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1981633 is divided by 330272?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2429 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28192029 and 9595.\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1666.149 meters?\nAnswer: 1666149000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -15*b**3 + 357*b**2 + 7*b - 7. Let n(k) = 5*k**3 - 118*k**2 - 2*k + 2. Let j(t) = 14*n(t) + 4*s(t). Find the third derivative of j(x) wrt x.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 + -43. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.058 - 2.\nAnswer: 1.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3840 and 477540.\nAnswer: 30562560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 8. Let l be x(13). Let c be (-1)\/(-2*1\/2). Sort -2, c, l in increasing order.\nAnswer: -2, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 65*q**2 - 5793*q + 1010. What is d(89)?\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1200069, 2400060, 3600051, 4800042, 6000033, 7200024?\nAnswer: 8400015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 12 = -3*x - 6*f, 4*x - 5*f + 16 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 13*b + 6*b + 2*b**2 + 5*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -42*l**3 - 3*l - 3. Let r(j) = j**3 + j + 1. What is -2*n(u) - 6*r(u)?\nAnswer: 78*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 7*u - 5. Let l be r(-8). Suppose n - 7*z - 789 = -l*z, -z + 799 = n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**5 + 0*p**5 + 24*p**5 + (-2*p - p + p)*(-3*p - 3*p**4 + 1 + 3*p) + 2*p - 2*p + 3*p**5.\nAnswer: 28*p**5 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpq when three letters picked without replacement from dddqdppkq?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15647.02 decades to months.\nAnswer: 1877642.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-142158)\/80028*-36 + 4\/78.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324.944 weeks in minutes?\nAnswer: 23435435.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**6\/240 - 59*z**4\/24 + 61*z**2. Let r(m) be the second derivative of p(m). Let q(j) = 12*j**2. Calculate r(q(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - h = h + 32, -4*h - 16 = 2*k. Let f = -5 - k. Differentiate -c + 2 - 4 - f wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(242) - sqrt(242)*-1) - (-3 + (sqrt(242) + 3 - sqrt(242) - sqrt(242))))**2 + -2)*-5.\nAnswer: -59280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38688.\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -71421.192 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*-21.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24576*b**3 - 24680*b**3 + 30*b + 3*b**2 + 2 + 91*b wrt b?\nAnswer: -624*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -22, 12 in ascending order.\nAnswer: -22, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 4*z**2 + 2*z**2 - 3*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7622.\nAnswer: 2, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1088311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560724414.\nAnswer: 2, 3, 93454069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/10*(-5)\/2 and (-4)\/(-26) - 6430\/2080.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13689\/5 + 14508\/5*c + 150*c**2 + 1\/5*c**4 - 68\/5*c**3 = 0. Calculate c.\nAnswer: -9, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(6)\/sqrt(3)) - (sqrt(8)\/sqrt(2) - sqrt(4) - sqrt(4))\/sqrt(2) - sqrt(96)\/sqrt(3)*3) + 0.\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.071 and 720.\nAnswer: 720.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 387 + -377. Calculate the greatest common factor of m and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 17*g**2 - 3*g - 3. Let v(o) = -20*o + 119. Let k be v(6). Give t(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0655 take away 0?\nAnswer: -0.0655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaiapcpziia. Give prob of picking 1 i and 1 p.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**(3\/4)\/j)\/j*j)*j**(4\/13))\/(((j\/(j\/(j**(-2\/25)*j)))\/j)\/(j\/j**(-2\/5))) assuming j is positive.\nAnswer: j**(3949\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5093*b**4 - 719*b**2*r**2 - 6*b**2 + b*r**2 + 10*b*r - 2*b - 13*r**2 + 2*r - 549 wrt b.\nAnswer: -61116*b**2 - 1438*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -199371*r + 200940*r + 1569 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -7. Suppose u*x + 5*t = 5, 5*x - 6 = -4*t - 0*t. Is 220\/16 - x\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*f - 650198 + 649494 = 0 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 m when three letters picked without replacement from {y: 2, m: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5030, 10051, 15074, 20099?\nAnswer: 25126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1513, -1516, -1519, -1522?\n\"Answer: -3*x - 1510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 + -7. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9230071 litres?\nAnswer: 923.0071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-9))\/((-43129)\/(-129)). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1957810080?\nAnswer: 2, 3, 5, 4078771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4 = 8. Let l = w + -1. Suppose -12*t + 16 = -44*t + 24*t. Put t, l, 1 in decreasing order.\nAnswer: 1, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5850067 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 490062.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 + (12\/(-4))\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.21255 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.01370821 + -3\nAnswer: -3.01370821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630146 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 345\/161 - (-2)\/(-14). Solve 0 = r*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**(-2)*d)\/d*d)*d*d*d)**(-1\/5)\/(d**(1\/3)\/d**(-1)))\/(d**8*(d*d**(-1\/4))\/d*(d*d\/d**3*d)\/(d\/(d**6*d))) assuming d is positive.\nAnswer: d**(-193\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2)\/w**(-2))\/(w*w**(-1)*w**(-5)\/w))**38 assuming w is positive.\nAnswer: w**285","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - 1*sqrt(162)*-3)\/(sqrt(9) - (sqrt(324)*1 - sqrt(9))))\/(((sqrt(81) - -2*(sqrt(81) + sqrt(81)*4)) + sqrt(81))*1).\nAnswer: -sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**3 + m**2 + m + 1. Give k(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1109\/7 - 149714\/945. Let u(d) be the third derivative of 0 + 1\/270*d**5 + 2*d**2 - 1\/540*d**6 + 0*d + 0*d**3 - g*d**7 + 1\/108*d**4. Factor u(i).\nAnswer: -2*i*(i - 1)*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 24 + -1 + 33 - -68?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 3 = -5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2578940 divided by 35\nAnswer: 73684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17402509 and 1776211.\nAnswer: 10897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -278*k - 190. What is the hundreds digit of t(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118750 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -14 - 5 - (-5 + -4 + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-36)*(-3)\/5)\/(3256\/(-2960))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1478\/3 and -492 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2347\/6 or -300?\nAnswer: -300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 460 divided by 6\nAnswer: 230\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 190\/9. What is the biggest value in -6, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p + 28 = -p. Solve -5*q = -5*m - 15, 2*q = -p*m + 24*m - 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2181891\/14 bigger than -155850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 45316937 and 45316939 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**3\/7 - 1454624*j**2\/7 - 49452848*j\/7 - 13298176 = 0.\nAnswer: -363622, -32, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*q - 64, -3*q - t + 45 = -q. Calculate the highest common divisor of q and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -208441 at most -208445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13096642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n + 24 = 0. Calculate the remainder when 9*(-8)\/6 + 59 is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 34.37344 kilograms?\nAnswer: 34373440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 2:32 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + q + 6. What is the nearest to q in -2, 4, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 531*o**2 + 130*o + 130. Determine r(-1).\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 26*n - 63. What is w(24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + -5 + sqrt(196)\/sqrt(7)*-5 + (-4*sqrt(252))\/sqrt(9) + -2).\nAnswer: -54*sqrt(7) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 l when three letters picked without replacement from {l: 4, u: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110 + 215\/2. What is the fourth biggest value in 2\/19, 0.4, o, 2\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 5*o - 215, -h - 4*o + 55 = -7. Calculate the greatest common divisor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -15 + 6*h - 1\/2*h**2. What is k(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -17*q**3 - 8*q**2 - 7*q + 7. Let f(u) = -16*u**3 - 7*u**2 - 6*u + 6. Determine -7*f(x) + 6*y(x).\nAnswer: 10*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3680 divided by -160\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 252616422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 173, 161, 131, 77, -7, -127?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**6\/120 - s**5\/30 - s**4\/24 + s**3\/6 - 5*s**2. Let z be f(-2). Solve -1 + 6 = -z*o + 2*n, -5*n - 13 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3480230032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6977029?\nAnswer: 6977029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27432 - -49374. Is f a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -23. Let b = 11 + y. Suppose -6*n + 4*n + 24 = 2*o, 0 = -n - b*o + 15. What is the remainder when 25 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8789, -17576, -26363?\n\"Answer: -8787*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(42)\/(sqrt(600)*2 - sqrt(6)) - (-2 + -2*sqrt(7) + sqrt(28) + sqrt(7) + -3)))**2.\nAnswer: -72*sqrt(7)\/19 + 3712\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 15*f + 73 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32.013 - -32. Round c to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 - 7?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/3)\/k*k*k**(-1)*(((k\/(k\/k**(-4\/5))*k)\/k)\/k)\/k*k\/k**3 assuming k is positive.\nAnswer: k**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 681.162 millimeters in kilometers?\nAnswer: 0.000681162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3 - 12125*b**2 - 567568*b + 1183644 = 0. Calculate b.\nAnswer: -12078, -49, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 19 (b) 5 (c) 3 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40305 + -35084. Is 5220 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 + 37*r - 13. Let u be w(12). Let p(k) = k**3 + 9*k**2 - k - 5. Let n(i) = -2*i**2 + 1. Let c(y) = -9*n(y) - 2*p(y). Give c(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/((o**(-6)*o)\/o))\/o)*o)\/o*o)**(-10) assuming o is positive.\nAnswer: o**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.15+-3.92084\nAnswer: -4.07084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-4)\/h*h)\/h)\/(h*h**(-6)*h))**25 assuming h is positive.\nAnswer: h**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, -10, 5, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -279, -309179, -5.\nAnswer: -309179, -279, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/23 - 94*g**2\/23 - 2*g\/23 + 94\/23 = 0. Calculate g.\nAnswer: -1, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**46)\/(d**(-10\/7)\/d)*(d**(14\/3))**(-2\/45) assuming d is positive.\nAnswer: d**(46514\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(-17 + 5202\/216 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.7 (c) -3 (d) -0.08169 (e) 13 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 929541*f**4 - 344610 with respect to f.\nAnswer: 3718164*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 11*c - 44. Let l be a(-7). Which is smaller: l or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1307 + -1319. Which is the closest to 1\/2? (a) -5 (b) 5\/3 (c) 5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438728243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 3*r - 4*w + 2*w, 3*r = -3*w + 138. Let c be r\/20*(-8)\/(-6) + -10. Let i(k) = -3*k - 17. Determine i(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10997?\nAnswer: 7, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kojqm. Give prob of picking 1 k, 1 m, 1 o, and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*o**2 + 9*o**2 + 7*o**2 - 2*o**2 + 8*o**2 + 3*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 m, and 1 x when four letters picked without replacement from {q: 1, t: 3, x: 2, m: 4, g: 2, i: 2}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -95, 35, 45239 in ascending order.\nAnswer: -95, 4, 35, 45239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1781092?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 223210142?\nAnswer: 223210133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -34732405?\nAnswer: -34732405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.24, -3, 4\/9, -5, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.3913639 rounded to 1 dp?\nAnswer: 170.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 4*c - 4. Suppose -9 - 3 = -4*g. Let b(u) = u**2 - 2*u - u**2 - 1 - u**g - u**2. Calculate b(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2202\/7 - 314. Sort 2\/3, 0.13, j, 0.5 in descending order.\nAnswer: 2\/3, j, 0.5, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 341351 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1764)\/(-112))\/((-1)\/(-12)). Suppose -u - u + 42 = 0. Suppose 84 + u = 5*y. What is the highest common factor of f and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 + 12636\/270)\/((-39)\/10).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.4, 4, -11, -22 in increasing order.\nAnswer: -22, -11, -2.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 93*n - 143*n + 350 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**7\/7560 - g**6\/720 + g**5\/180 + g**4\/3 - 3*g. Let k(r) be the third derivative of j(r). Factor k(v).\nAnswer: (v - 2)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 1. Let u(v) = 6*v + 5. Let z(x) = -5*m(x) + u(x). Let k(c) = 5*c. Calculate -13*k(n) + 6*z(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160 - 76. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + i - 3*w - 30 = 0, 4*i = 4*w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/80 and -137\/35400.\nAnswer: 70800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93567591*r**3 - 2*r**2 - 60*r - 103637.\nAnswer: 561405546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10289.862 + 10300. Let m = v + -9.1. Let c = m + -0.75. What is c rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -375*o + 35. Let l(u) = -22*u + 2. Calculate 35*l(b) - 2*t(b).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 6. Suppose -2*m = b*h + 4, 3*m - 16 = 5*h + 22. Calculate the common denominator of 2\/3 - (-43)\/m and -43.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/7182 and -28\/81.\nAnswer: 21546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -26448 divided by -2204\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 48*x**3 + x**2. Suppose -2*z - 3 = -5*z. Let p be w(z). What is the highest common divisor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7988000 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1201.98 + 1202. Sort v, 1, -5.\nAnswer: -5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrcryrycy. Give prob of sequence rycy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2 = 2*a, 1 = 3*i + a - 0*a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*w + 325 = -223*w. Solve 0 = -5*b + 10*b + w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9478, 9460, 9364, 9178, 8890?\nAnswer: 8488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2934422, -5869046, -8803670, -11738294, -14672918?\n\"Answer: -2934624*u + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, -2\/5, 8\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5545204 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2435.546 - 2423. Let f = 12.7 - r. Round f to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010001100011 + -110?\nAnswer: 10010001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h*u**3 + 9856*h*u**2 + h*u - h - 34676*u**3 wrt u.\nAnswer: -12*h - 208056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 725 (base 10) in base 16?\nAnswer: 2d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -132*b**2 + 3*b - 4*b**3 + 3*b**3 - 2*b**4 + 5*b**3 - 2*b**3 + 1 + 134*b**2 in the form l*b**3 + n*b + h + o*b**4 + v*b**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -159 - -271. Calculate the remainder when 8*a\/((-28)\/(-4)) is divided by 60.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2*g = -10. Differentiate -34*a**2 + 34*a**g + 12*a**3 - 15 with respect to a.\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1091 or 1090?\nAnswer: 1091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 4, 6, -30 in ascending order.\nAnswer: -30, 0, 4, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (595\/(-65) - -9) + 4\/26. Solve -2*z + d*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 136*c**2 + 12*c - 31. Let l(h) = -163*h**2 - 12*h + 32. Let f(v) = 5*l(v) + 6*m(v). What is f(-12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 156 - 144 - 111 - 165*z with respect to z.\nAnswer: -165","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 928 = 925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + s + 0*s**2 - s**2)*(3*s + 4*s - 5*s).\nAnswer: 2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2778342?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1858431, 3, -0.2, -0.01 in ascending order.\nAnswer: -1858431, -0.2, -0.01, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*s + 30, 0 = s + 3 - 5. Suppose -3*i + 69 = -r. Let o(p) = p**3 + 6*p**2 + 5*p + 12. What is the remainder when i is divided by o(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/5)\/g)\/g**5*(g\/(g\/g**(2\/7)))**(-30) assuming g is positive.\nAnswer: g**(-461\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*h + 26, 10*h - 11*h = x - 6. Let m(u) be the first derivative of -7*u**2\/2 - u + 1. Calculate m(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 272428747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4\/13, 28, -22.\nAnswer: -22, -4\/13, 0.1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 306*n + 2146. What is y(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 433399, 431717, 430033, 428347, 426659, 424969, 423277?\nAnswer: 421583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 6, -16624, 46, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f + 2*t - 108 = 0, 5*f - 128 + 50 = -8*t for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -2 - (10 - 8). Let i = 1166\/5 + -5824\/25. Which is smaller: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 61, 91, 109, 115, 109, 91?\n\"Answer: -6*x**2 + 48*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - u - 14. Let g be k(0). Let i = 31 + g. What is the remainder when 31 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -8*w + 980. What is the lowest common multiple of 16 and w?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.983 and 20043.5?\nAnswer: -19702.7605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1061857*b + 1061857*b - 16*b**2.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 526?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/555 and 33\/151700.\nAnswer: 455100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 85168031 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-6)*(-126)\/(-84). Which is the third biggest value? (a) k (b) -1\/2 (c) -2\/21 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(360 - 360 + 34*x) + 2 + 0 - 1 + 2*x - 16*x + 7*x - 10*x as j*x + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3369057.8 to the nearest ten thousand.\nAnswer: -3370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b7 - 47cf?\nAnswer: -4886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -264*y. Let b(l) = -11*l. Let k(f) = 143*b(f) - 6*w(f). Is k(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 349827.6939 to the nearest 1000.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63\/4*l + 405\/2 - 3\/4*l**2.\nAnswer: -3*(l - 30)*(l + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0442 and 609.\nAnswer: 26.9178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1553904 and 37\/3240.\nAnswer: 7769520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**2*v**2 + 675268*s**2 - 21454*s*v**2 - 224*s wrt s?\nAnswer: -4*v**2 + 1350536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*p + 19, -131 = 8*k - 13*k - 3*p. Suppose -2*q = 4*l + 2*q - 4, -5*q - 31 = -4*l. Solve 0 = -5*f - k, -l*s + 4*f + 2 = -14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -364*a - 728. Let o be z(-2). Solve 0 = 4*n + 196*m - 194*m + 20, o = 5*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 508776169, 508776170, 508776171, 508776172?\nAnswer: 508776173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -0.4, 3, 0, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 294*l**3 + 4*l**2 + 4*l + 6. Let r(u) = -u**2 - u - 1. Let n(v) = a(v) + 5*r(v). Is n(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 430548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10513.63 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*i - 11 = 0, 4*k - 694*i + 696*i - 26 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41\/20 - 71\/5. Let m = -40003\/9226 - 14\/659. Find the common denominator of m and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = h - 63, 4 = 2*h - 2. Let s = -23 + 27. Solve -a + 0 = -s*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1440 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, p: 2, d: 4, e: 4, a: 3}. Give prob of sequence era.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -17336 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w = 4. Suppose w*y + y = 90. What is the highest common divisor of 75 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42.1+4.885366179\nAnswer: -37.214633821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t. Let a(s) = 4*s - 5. Let y(j) = 5*j - 6. Let g(z) = 6*a(z) - 5*y(z). What is g(v(u))?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 404, 411, 420, 431, 444?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4196633\/76 + 761784301\/14364. Let y = l - -7055\/27. Let q = y + 1928. What is the common denominator of 5\/8 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -138918212*h**3 - 39772469 wrt h.\nAnswer: -416754636*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -850167443747 and -0.5?\nAnswer: 850167443746.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + c + 10 = -0*c, 17 = -k + 4*c. Let y be (-20)\/5*(2 - k). Suppose y + 15 = z. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6*v = -2*v + 32, 0 = -2*v - 4. Suppose -2*o = 4*i - 16, 3*o - 3 - 6 = -i. Suppose 0 = -i*b - 0 + j. Sort -0.3, b, 2\/7.\nAnswer: -0.3, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64\/3*g - 4\/3*g**4 + 704\/3 - 154\/3*g**3 + 2\/3*g**5 - 484\/3*g**2 = 0 for g.\nAnswer: -4, -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 841014 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f + f - f**2)*(-4 - f + 4) + 63*f**3 - 51*f**3 - 76*f**3)*((0*f - 4*f + 0*f)*(4 - 3 + 1) - 3*f + 0*f - f).\nAnswer: 756*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 284174774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(450) - (sqrt(450) + (sqrt(450) + 0)*-2 - sqrt(450))))**2*-4.\nAnswer: -259200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 2*m**2 - 4*m**2. Let o(k) = 8*k**3 - k**2 - k + 1. Let z be o(1). Let s(i) = -i - i + z*i. Calculate c(s(w)).\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -6 (b) 2 (c) -0.1 (d) -2\/9 (e) -10.7 (f) -7\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 11:03 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 4:33 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c - 38. Suppose 2*k = 2*m + 158, -6*k + 318 = -2*k - 2*m. Suppose 7*n + k = 11*n. List the prime factors of s(n).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 11*z**2 - 10*z + 4. Suppose 3*s - 2*p = -24, -s + 5*p = -4*s - 45. Calculate the remainder when ((-20)\/6)\/(1\/(-3)) is divided by c(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*a**4 + 2*a**3 - 3*a**2 - 2*a + 0 + 3*a**2 as t + j*a**4 + m*a**3 + g*a + c*a**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -32*y**2 + y + 8513. What is the hundreds digit of a(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612801662 to the power of 1\/2, to the nearest integer?\nAnswer: 40160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14*(3 + 2\/(-2)). Let u be (-8)\/d + 32568190\/14. Suppose 0 = 5*a - u + 9476299. What is a rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(2*sqrt(77)*-3)\/sqrt(11) - (-1 + sqrt(1008) + sqrt(7) + sqrt(112) + sqrt(112)*2)) + -2)**2.\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1701 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 - 5294?\nAnswer: -5274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**5 - 65*h**4 - 330*h**3 - 810*h**2 - 945*h - 405.\nAnswer: -5*(h + 1)*(h + 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**2 - 11*h**2 + 20*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12*(-1 - 4\/(-8)). What is the derivative of 13*k**3 - r + 15 - 21*k**3 wrt k?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 7. Let w(x) = -1. Calculate k(r) - 6*w(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 25 - 0. Let a be (-3 + 1 + 8)\/(3\/4). Suppose 0 = -14*g + a*g + 30. Solve 32 = 3*l - g*p, -m*l - p = 6 - 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 72, -10, -46, 1, 4 in descending order.\nAnswer: 72, 4, 1, -10, -42, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99385631212 - -2177837335863554\/21913. Let z = -44\/1289 - n. Determine s so that 42\/17*s - 294\/17*s**2 + z*s**3 - 2\/17 = 0.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 32 = 86. What is the closest to 2\/7 in 14, 2\/25, q?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -49*h + 2. Let r(u) = -u**3 + 7*u**2 + 11*u - 5. Let k be r(8). Let w(s) = s - 21. Let x be w(k). What is the hundreds digit of q(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.05 + -0.38. Let g = 7.54 - m. Let s = 0.67 - g. Round s to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 81*y**2 - 82*y + 200. Let a be o(80). Solve 5*t = 3*p + 25, -5*p + 5 = -a*t + 41*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2044012233 (base 5) to base 16.\nAnswer: 415751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7*o**2 + 6*o**2 - 4*o**2)*(-2*o - o + 5*o) + (-3*o + 2*o + 3*o)*(5 - o**2 - 5))*(20*o + o + 27*o)*(4*o - 2*o - o).\nAnswer: -576*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895009 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - x**2 + x + 1. Let g(j) = 3*j**3 - 4*j**2 + 2*j + 3. Let o(v) = g(v) - w(v). Suppose -s + 4 = -2*t, -4*s + 1 = 4*t - 3. Calculate o(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Suppose 153 - 17 = k*v. Suppose 0 = -5*u + 118 + 91 + 131. Calculate the greatest common divisor of u and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 35. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 2. Suppose -3*w + 16 = b + b, 4*w + 5*b = 33. Suppose -t + 0*t = 5*x - 16, -5*t + 11 = w*x. What is z(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (430 - 441) + (-14 - (-2 + (0 - 0)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -398476.11 * -2\nAnswer: 796952.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**3\/7 - 8466*k**2\/7 - 594213*k\/7 - 585750\/7 = 0?\nAnswer: -2750, -71, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.91 less than 0.328?\nAnswer: -16.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3514542298?\nAnswer: 2, 16561, 106109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4774 + -4394. Calculate the greatest common divisor of o and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*h = 54*h + 16, -3*k = -4*h + 31. Let s(i) = -i**3 - 4*i**2 + 10*i + 17. Give s(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 + 8 + 1 + (-7 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1467046 and 131\/18.\nAnswer: 13203414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10480121227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**4\/12 - l**3\/3 + 2*l**2 + 60. Suppose t = -0 + 5. Does 2 divide r(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 5*c + 11. What is h(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 12:28 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/((u\/u**(-3))\/u)))**23\/(u*u**(1\/2)*u*u**23) assuming u is positive.\nAnswer: u**(133\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-2))\/((-6)\/(-16)). Let n = 1\/256 + -129\/256. Sort f, n, -3 in descending order.\nAnswer: f, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i - 17. Let m be b(-5). Calculate the greatest common divisor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(24)\/sqrt(48).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 20 + 10 = -5*m, -12 = 4*m. Let p(c) = -c**3 + 9*c**2 - 8*c + 6. Let a be p(8). Let r(v) = -a*v + 3*v - 12 + v + v. Determine r(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 82?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 18 + 4 - 2)*(232 + 29*c - 232).\nAnswer: 986*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**8\/2184 - i**7\/1365 - i**6\/780 + i**5\/390 - 17*i**2\/2 + 6*i. Let x(u) be the first derivative of j(u). Factor x(c).\nAnswer: 2*c**2*(c - 1)**2*(c + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81.92 - -82. Let g = 3 + -1. What is the closest to u in g, 3, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22538 + 32750. Is u a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a hour in seconds?\nAnswer: 77400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 0, -2 = -3*d - 5*i + 688. Let s = -260 + d. Which is smaller: s or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326*s - 287599 = 313*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + (2 - 1) - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/12*2\/7. What is the smallest value in -2\/5, 5, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 + 1)*(-4)\/8. Suppose 5*y + 10 = 3*m, -c*m + 0*y + 18 = 3*y. Suppose 1731 = m*x - 424. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10\/543 - -10528\/1629. Suppose 0*x + 2*i = -5*x, 0 = -4*i - 20. Calculate the common denominator of (324\/(-21))\/(x\/1) and z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73801?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -2*b + 209*w - 1036, -b - 3*w = -13 + 5 + 2 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (96\/20)\/(-1)*(-20)\/3 and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -227*h**5 + 446*h**5 - 229*h**5 - h + 5*h**3 + (-h**3 - h**3 + 4*h**3)*(2*h**2 + 3*h**2 - 7*h**2) - h**5 + 2*h**5 - 3*h**5.\nAnswer: -16*h**5 + 5*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/5)\/s*s*s*s\/s**(-5))\/(s**(-11))**(-25) assuming s is positive.\nAnswer: s**(-1341\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003074981 rounded to 6 dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*48\/(-6)*(-37)\/111.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78137.89 weeks to seconds.\nAnswer: 47257795872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*-3*(-3)\/9. Let t be (s + -3 + 1)\/1. Suppose t = 2*r + 3*r + 4*o - 6, 0 = 3*o + 3. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847573*h - 847575*h - 739 = 83*i, -3*h = i - 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*r - 35 = 0, -3*i - 9 = -r - 29. Let d be i\/(-10)*(1 - -1). Let g be (-3*(16\/12 - 1))\/6. Is g at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8939475*d**2*y**2 + 281333*d*y**2 - d*y wrt d.\nAnswer: -17878950*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d + 2. Let u be a(-2). Suppose -2*i = 2*h - 6, -4*i - u = -8*i - 5*h. Solve -2*v = m + 5, -m - v = -0*m + i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -99*j + 74*j + 2 - 2. Let f(l) = l - l + l + 0. Determine d(f(y)).\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -3*y + 8*y. What is the units digit of -4 + -6 + y - 21\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 24 = 6. Suppose -n = n - g*n. Factor 0*r + 2\/3*r**4 + 0 + n*r**2 + 1\/3*r**5 + 1\/3*r**3.\nAnswer: r**3*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000020396 rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**4\/4 - 10*g**3\/3 - 5*g**2 - 2*g - 3. Let w(d) = d**3 - 6*d**2 - 2*d + 3. Let f be w(6). List the prime factors of o(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 35b + 4cba?\nAnswer: 5015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1382\nAnswer: -1\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6632752 from -6.\nAnswer: 6632746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3 - 4. What are the prime factors of (-1)\/(-1) - (-5)\/h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026216 rounded to six dps?\nAnswer: -0.000262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*((z*z\/(z*z**(-1\/2)*z))\/z)\/z)\/z)**26)**(-22)*((z*(z*z**(-1))\/z*z)\/z*z*z**(-5\/4)\/z)\/(z**0\/z)**(-3) assuming z is positive.\nAnswer: z**(3415\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, -25, -45, -67?\n\"Answer: -k**2 - 15*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - n = -13, 6*n - 3*n = -2*a. Suppose 22 = 5*r + a*q, -2*q + 5*q + 23 = 4*r. Solve -3*h = -r - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a09a697 - -5?\nAnswer: -a09a692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370 (base 14) in base 13?\nAnswer: 173b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 90? (a) -7 (b) -37 (c) -156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1394 = -0*d. Let a = 27939\/20 - d. Calculate the common denominator of 22\/(-108)*(-1 - -4) and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -204\/54503 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*o + 32 = -97*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 1:02 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -353 - -393. What is the greatest common factor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((5 + 1*(5 + (2 + 3 + sqrt(833) - sqrt(833))))*4)**2*-5.\nAnswer: 72000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3738\/9185 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1038 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1081 = -1417. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*m - 15, 0 = -5*t + 4*m + 220. Suppose 6*v - t = 68. What is the highest common divisor of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/79 (b) -2\/7 (c) -1291 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w - 2. Give f(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/14*(-1617)\/198)\/((182\/(-39))\/(-7))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69713*u + 19087*u - 46128*u - 5590*u.\nAnswer: -102344*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 - 45.11. Let g = i - -52.1. Round g to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**2. Let q(b) = -72*b**2 - 6*b - 8. What is q(p(v))?\nAnswer: -1152*v**4 + 24*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 6) + 116 + -110.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590963?\nAnswer: 590963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1035 or 0?\nAnswer: -1035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 2*j. Let v(u) = -4*u**2 - 2*u + 2. Let x be v(1). What is h(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**2 - b + 5. What is v(-4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23347590 is divided by 148.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2 - 6. Let h(n) = 8*n**3 + 11*n**2 + 11*n - 6. Let s(q) = 3*q**3 + 4*q**2 + 4*q - 2. Determine z*h(r) - 11*s(r).\nAnswer: -r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*k - 777 = 5*y, -4*k = 5*y + 1925. Is -382 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3\/65 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4746705*l - 63*l**3 - 4746705*l + 66*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/1*63999\/(-29538).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*o**2 + o - 10*o + 6*o - 136.\nAnswer: -231*o**2 - 3*o - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2, -257.778, -0.5?\nAnswer: -257.778","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2420904 by 605226.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3536 - -3529. Let g(d) = -4*d - 2. Let j(y) = 2*y + 1. Determine q*j(x) - 3*g(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x - 7*x + 133*x**2 + 17 - 59*x**2 + 218*x**2 wrt x?\nAnswer: 584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**3 + 141*o**2 + 424*o + 253. Give s(-32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-1\/2)*(o*(o*o**(-4\/9))\/o)\/o*o*((o*o**(-21))\/o)\/((o*o**34)\/o) assuming o is positive.\nAnswer: o**(-971\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**2 - 13*w**2 - 20 + 20.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792)*4*1)\/(-6*(sqrt(50) + sqrt(2)) - sqrt(2) - 4*sqrt(4)\/sqrt(2)).\nAnswer: -24*sqrt(11)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 f when four letters picked without replacement from {x: 12, f: 3}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/33 - -17\/132. Let u = -12 + 23\/2. Put u, z, -3 in ascending order.\nAnswer: -3, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 1. What is the remainder when h is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110100010010000000100 (base 2) to base 15\nAnswer: -23c906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -104938.523777857?\nAnswer: 104944.523777857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.742 to 1 dp.\nAnswer: 48.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25)\/125 + 62\/10 - -6. Suppose -2*g = -5*b + d, -4*g + 23*b = 21*b - 8. Solve g*m + 12 = -4*s + 6*m, m - 10 = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-2145)*(-884)\/408\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/33*(-17526)\/(-635)*1*5.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((3 - 0 - -1) + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (580\/522)\/((-30)\/(-12)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2128 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0108042 to 4 decimal places.\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2. Let q(b) = -59*b. What is q(o(r))?\nAnswer: 118*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2016c - a?\nAnswer: 20162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + 1. Let f(z) = 0*z**3 + 1 - n*z - 4*z**2 - z**3 + 16*z. Let p = 191 + -195. What is f(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 9:29 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -1\/3*w**3 + 0 + 0*w**2 + 2*w. Let r(x) = -21*x**2. What is t(r(b))?\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/14)\/((-75)\/10).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/3)\/((n**(-1\/8)*n)\/n*n)*(n*n*n**2*n)\/n**7 assuming n is positive.\nAnswer: n**(-53\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5195 is divided by 493?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13096, -13107, -13116, -13123, -13128, -13131?\n\"Answer: l**2 - 14*l - 13083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2857*-14640\nAnswer: 4182.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-1)))\/v)**(7\/5)*v**6*(v*v*(v*v**(-2\/9))\/v)\/v assuming v is positive.\nAnswer: v**(179\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -3. Suppose 3*c - 2 = r. Let l = -21 + 29. Calculate the greatest common factor of l and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**14)\/i)**(-37)\/(i\/i**36)**(-36) assuming i is positive.\nAnswer: i**(-742)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*l = -978320, -5*p = -10*l + 7*l - 978310. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1058.8 - -1059. Let v = 15 + -11.8. Let i = -0.2 + v. Are j and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**(3\/2)\/j*j)\/j)**(9\/4) assuming j is positive.\nAnswer: j**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6467636 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1844 - -5467\/3. What is the common denominator of b and -95\/3562?\nAnswer: 10686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 5*x + 2*v, -2*v - 6 = -2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/10 - (-3896)\/(-3409)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, 1\/5, -5, -197?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssgscssccccsc. Give prob of sequence ss.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 41*a + 17. Let l(j) = 82*j + 36. Let g(c) = -3*l(c) + 5*y(c). Differentiate g(v) wrt v.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(400))\/((sqrt(32)\/sqrt(4) + sqrt(8))*-1 + sqrt(8)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1957521, -1957309, -1957101, -1956897, -1956697, -1956501, -1956309?\n\"Answer: -2*c**2 + 218*c - 1957737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - 4*i**3 + 0*i**2 + 2*i + (-2*i**2 + 0*i**2 + 3*i**2)*(-72 + 16*i + 72).\nAnswer: 12*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 3*s**2 - s - 6. Let h be m(3). Let v = h - -18. Factor -v*k**4 + 4*k**5 + 2*k - 2*k**5 + 5*k**4 + 4*k**2 - 4*k.\nAnswer: 2*k*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16536070 + 25157542. Let f = 4921472 - n. Round f to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 283 - 211 - 132 - 5*n**2 to c + a*n**2 + i*n and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:40 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 4016.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112011 (base 3) to base 9.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 6243772?\nAnswer: 312188.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzqi when four letters picked without replacement from quiqiwiqzuq.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m - 242 = 0. Suppose 0 = 3*w + m - 403. Suppose 5*a - 3*i + 0*i - w = 0, 5*a - 82 = -i. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169 + -3664.1888106.\nAnswer: -3495.1888106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28182899 - -12674.\nAnswer: -28170225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 11*p**2 - 13*p + 33. Let h be ((-16)\/(-20))\/(6\/75). Let y be v(h). What are the prime factors of ((-2)\/y)\/(-2)*-6 - -56?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7504.3 - 7504. What is the second smallest value in -2\/9, -3\/8, y, -0.19?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -6, 2, -12, -2 in ascending order.\nAnswer: -12, -6, -2, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 11 + 2. Let w be (-1 + v\/2)*-2. Suppose -3*r + w = 3*o, 3*o - 2*r = 2*r + 8. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -10. Let m = -8 + k. Let r = -3 - -7. Put m, r, 5 in ascending order.\nAnswer: m, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0572 + -0.1373. What is x rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least -1254\/343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2c9 (base 14) to base 4\nAnswer: 20321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/7538 + 186576\/26383. Find the common denominator of f and -37\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233155944 to the nearest integer?\nAnswer: 15269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -690 = -10*q - 0*q. Suppose -17*z + 271 + q = 0. What is the remainder when 74 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 805.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 3, -1\/3, -0.1, 824846 in increasing order.\nAnswer: -2\/5, -1\/3, -0.1, 3, 824846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a. Let o(w) be the third derivative of 13*w**5\/24 - 50*w**3\/3 - 68*w**2 + 2. Let f(q) be the first derivative of o(q). Determine f(m(j)).\nAnswer: -130*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 4)\/((-1)\/(-14)). Suppose 2*l + 0*l - 24 = -5*x, 0 = -5*x + 3*l + d. Calculate the highest common divisor of x and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -c + 25, -4 - 9 = -3*r + 2*c. Suppose -4*q = -1 - r. Let x(b) = 4*b**2 + 4*b - 4. Is 16 a factor of x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-1)\/(-2))*2712\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/15 - 2\/15. Let x = -118 - -208. Let o be x\/(-35) + 4 + -2. Which is smaller: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 + 9*y - 11. Let d(x) = 2*x**2 + 5*x - 5. Suppose 41*a = 39*a - 62. Let m = 34 + a. Let p(n) = m*g(n) - 7*d(n). Determine p(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4261 is divided by 242?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9\/79 - 2767\/711. Find the common denominator of z and 91\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5373119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.241, 0.22, 0.1, 7.\nAnswer: 0.1, 0.22, 0.241, 1\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*z + 10 = 4*j, 2*z - 4 = 0. Let c = 8 - j. Let h be (-1)\/21*-2*c. What is the smallest value in 2, h, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -601.\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4075.000026016 - 4075. Round i to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/8))**(-20\/7))**(-2\/17))**(-1\/65) assuming j is positive.\nAnswer: j**(1\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 72919 and 72910 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - (-42)\/6)\/((1 + 2)\/((-192)\/(-64))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -13846582?\nAnswer: -4\/6923291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8308\/186)\/(-134)*((-12)\/(-134))\/(-1)\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52\/6 + (-2)\/(-6). Suppose 0 = 3*m - g. Suppose m*l + 8 = 4*l. Solve 0 = -4*p + 2*p + l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/40*4)\/(2\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p**3 - 6*p**2 + 7*p - 6. Let u(b) be the second derivative of b**5\/20 + b**4\/12 - b**3\/6 + b**2\/2 - 5*b. What is -2*j(w) - 14*u(w)?\nAnswer: 2*w**3 - 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 243.3 + -243.302438. Round d to 4 dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 5) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3 - 3*w + 9.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 3 (b) -1\/3 (c) 7893 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -53 (b) -3 (c) -2\/5 (d) 0.4 (e) 1 (f) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69930 divided by -6.\nAnswer: 11655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*f + 7, f + 8*q - 3*q - 35 = 0. Solve 2*p - 7 - 11 = f for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q*q**(-11\/2)))\/q)\/q**(-10))**34 assuming q is positive.\nAnswer: q**459","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 5*b + 1 + (-1 + 1 + 2*b)*(2 + 2 - 1).\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79*q**3*s**2 + 5*q**3*s + q**3 - 32187*q**2*s**3 - 853*q**2 - 20*q - s wrt s.\nAnswer: -158*q**3 - 193122*q**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 35. Let s(w) = w**3 + 6*w**2 + 4*w + 5. Let l be s(v). Let a = -13 - -23. Calculate the greatest common factor of l and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -86423, -86422, -86421, -86420, -86419, -86418?\n\"Answer: f - 86424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 336 - 1007\/3. Suppose 0 = -4*j - 3*q + 12 + 10, 0 = -3*j + 3*q + 6. Suppose 0 = -0*y - 2*y - 2*b + j, -2*y = -b - 1. Which is bigger: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + j**2 - j - 7. Determine k(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 5\/6 - (-7623)\/378.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 129 + 27 = 0. What is the lowest common multiple of i and (28 + (-715)\/26)*-14 - 82\/(-1*1)?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**2 - 5*m + 14. Let f = -2515 + 2516. Let g(t) = -t**2 - t - 1. Determine f*k(b) - 4*g(b).\nAnswer: -b**2 - b + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4176.26748, 0.5, -0.2?\nAnswer: -4176.26748","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 4*w - 31 + 8, -11*w = -14*w + 24 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -48*b**4\/5 + 1374024*b**3\/5 - 3434691*b**2\/5 - 1974978*b\/5 - 257607\/5 = 0.\nAnswer: -1\/4, 3, 28623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlr. Give prob of picking 1 j and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**2 + 11 - 11 + (0*x - x**2 + 0*x)*(-1 + 3 - 1) - 3*x**2 + 4*x**2 + 4*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.767967 millimeters to kilometers.\nAnswer: 0.000009767967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6932 - -6923. Let s(o) = -14*o - 124. Calculate s(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**6\/180 + p**5\/40 + p**4\/72 - p**3\/12 - p**2\/6 + 6*p. Let g(z) = 0. What is z?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v**(3\/2)*v*v)\/v*v)*v**4*(v*v*v**(3\/2))\/((v\/v**(1\/3)*v)\/v))\/(v**(-1\/13)*v*(v\/(v**(-3)\/v*v))\/v*v)**48 assuming v is positive.\nAnswer: v**(-9008\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 3900*r.\nAnswer: -2*r*(r - 1950)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58602606?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 202*o + 25740 - 25742 + 667*o to the form s*o + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/6, 1\/6, 1\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 141*m - 5. Let b be ((-30)\/24)\/(-5) + (-3)\/(-4). Let j be f(b). What is the greatest common divisor of j and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*(-414 + 842 - 419)*(-1 + 2 + 2)*(-2*h + 6*h - 3*h) as b + f*h and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561306630 + 561306630 + 12*u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73 and 3776217.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3a4 (base 13) in base 2?\nAnswer: -101100001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**3 - g**2 - 12. Is o(-4) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/5 or -0.05763?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/4)\/(x\/((x*x\/x**(-7))\/x))*(x\/(x\/(x**(-3)*x)*x))\/x**(-3)*x**(-3)\/x**(-6)*(((x\/(x*x**(2\/11)))\/x*x)\/x)\/x**4 assuming x is positive.\nAnswer: x**(223\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2 - 32) - (18703 + -18760).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - x = 31 - 218, 4*u = 5*x + 167. Let v be 20\/3*36\/(-15). Let m = 36 + v. Calculate the remainder when u is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -17059.\nAnswer: -2\/17059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from kllklkkkkk?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = q - 10, 3*r + 14*q + 6 = 15*q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*c**2 + 93*c**2 + 133*c**2)*(-18*c**3 - 17*c + 17*c).\nAnswer: -5220*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/749 and -4\/105.\nAnswer: 11235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v - 69. Let c be q(-12). Suppose 39 = c*t + 2*u - 437, -322 = -2*t + u. Is 160 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -606 - 120. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) -6 (b) -11.2 (c) 0.5 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -12*c - 284. What is u(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400558 is divided by 260.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 1. Let y be r(0). Let v(c) = 14*c. Let j be v(y). Is -15 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80763.46cm to micrometers.\nAnswer: 807634600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(80) - sqrt(5))*-2.\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-12) - (-4)\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/5 (b) 2\/9 (c) -1.966054 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981 is divided by 488.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001110 + -101?\nAnswer: -10010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 51. Let j(l) = -2*l**2 + 51. Give -3*j(o) - 2*v(o).\nAnswer: 2*o**2 - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:52 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81633899 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 4*l - 6*l)*(-3 + 5 - 1)*(-3 + 7 + 0)*(-3*l + 1 - 1) + (2 - 3 + 3)*(3*l**2 + 3*l**2 - 7*l**2).\nAnswer: -38*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8566 (base 11) to base 14\nAnswer: 41ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428569 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + 68 + (660 - 674)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 39*c - 381. Determine r(-9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/(65\/(-26))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 3*r**2 + 6*r + 7. Give l(-3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -76186, -76185, -76184?\n\"Answer: a - 76187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27888 + 31648. Calculate the greatest common divisor of 3995 and f.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21725590065 + -1107.\nAnswer: 21725588958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8 (b) -6 (c) 2\/17 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -16. Suppose -5*a + 4*k = -3*a + 8, -4*k = n*a - 24. Solve m = -a*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 613.1944 millilitres?\nAnswer: 0.6131944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 767 + 364 - 568 + 3*h**3 - 561.\nAnswer: 3*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 6 = -10*h. Is h bigger than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -480.1 + 480. What is the second smallest value in 4, -8\/5, -2\/25, 1\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1. Let a(o) = 9*o**2 + 23*o + 32. Let h(t) = -16*t**2 - 47*t - 62. Let x(f) = -5*a(f) - 3*h(f). Let y be x(-1). Sort m, y, -5 in increasing order.\nAnswer: -5, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11702805 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 8690*k**2 - 216132*k + 570240.\nAnswer: -2*(k - 4320)*(k - 22)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/20 and -131\/59532.\nAnswer: 297660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -815511 divided by 669.\nAnswer: -1219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 13 = -a + 12, 0 = 2*h + 2*a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4409064408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 9) to base 13\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4375.982ml in litres?\nAnswer: 4.375982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18174 a multiple of 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 5*n - 176. Is (-1)\/(-4) - 50105\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2729558141 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32403*l + 47596 wrt l.\nAnswer: 32403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35076.1 rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 189 = -2*h + 26*o - 47*o, -6*o + 18*o + 72 = 2*h + 4*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31442 or 31744?\nAnswer: 31744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1134*c - 1170*c = -211968. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2238 is divided by (-560)\/(-180)*81\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 + -92. Solve -8*t + l = -4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 4*d - 4. Let h(s) = s. Let f(c) = -3*h(c) + n(c). Let i(u) = 2*u - 1. Let j be i(2). Give f(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*a + 5366 = -307*a. Suppose a - 1033 = 5*z. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 28.40041g?\nAnswer: 28400.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/156310 and 97\/120.\nAnswer: 1875720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36261995, -36262003, -36262011?\nAnswer: -36262019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhthhhhththhhh. Give prob of sequence th.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2328, -9042, -15768, -22512, -29280, -36078?\nAnswer: -42912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/5)*s)\/(s\/(s**(-1\/12)*s)))\/(s**41\/s*s)**0 assuming s is positive.\nAnswer: s**(31\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93598 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 239306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(7\/12)*(y**(-3\/20)*y)\/y)\/(y**34\/(y\/(y\/y**(21\/5)))) assuming y is positive.\nAnswer: y**(-428\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004542 rounded to 7 decimal places?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4641204 to the power of 1\/2, to the nearest integer?\nAnswer: 2154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - ((-13583)\/(-423) - -28).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**3 + 2*y**3 + 0*y**3)*(6 - 3 + 0 + (2 - 4 - 3)*(-5 + 2 + 1)) + (0 + 0 + y)*(0*y + 0*y - 3*y**2) to the form v*y + f + s*y**3 + h*y**2 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 5*r - 10, -2*r + 3*r + 3*c - 14 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -2, 1, -23\/3, -3, -2\/5?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q. Let r(a) = 27*a - 2. Give r(g(m)).\nAnswer: 243*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5 + 3. Let n = 1 - u. Let y be (-40)\/10*((-5)\/(-18))\/(-5). Which is the second smallest value? (a) n (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, j: 4, p: 2, u: 9}. What is prob of picking 1 u, 1 p, and 1 q?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2849 and 90632647.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 14*h**2 + 2*h - 18. Let l be u(14). Let g = l + -5. Suppose g*j = -15, -430 = -3*i - i + 2*j. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 8)\/(2373*(-10)\/70)?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4120132057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -707\/6 at least as big as -118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*57435.\nAnswer: 229740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3671 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 second derivative of -3849*o + 207*o**2 + 6750*o - 3413*o wrt o?\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/(-6))\/((-1)\/(-2)). Suppose 3*o - 7 = -j, o - 2*j = 2 + p. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l - 35*l**3 - 27 - 33*l**2 - 36*l**3 + 69*l**3 - 2*l**4 + 26 as d*l**4 + y*l + h*l**2 + n*l**3 + g and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631359839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2914 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**3 + 980478*b**2 + 7843680*b + 15687264 = 0.\nAnswer: -326818, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2. Let l(v) be the second derivative of -v**5\/40 + v**3\/3 + v. Let g(o) be the second derivative of l(o). Calculate p(g(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73367 and 1337777?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 195*t**4 - 742*t**2 + 1767321?\nAnswer: 780*t**3 - 1484*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + -5)\/(9\/(-6) - -2). Let 2\/11*o - 2\/11*o**i + 4\/11 = 0. Calculate o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231835 is divided by 278.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1212110 (base 5) to base 8\nAnswer: 54374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4676*k - 983*k + 47506 = -270237 + 839 for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1402*f - 1567.\nAnswer: 1402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129336047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.14 + -9.14. Let i = 8.9999965 + r. What is i rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 0 + 318\/30 and 14\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + 3*k - k + (6 - 2 + 2)*(-4*k + k - k) to d*k + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(72) - (sqrt(72)*2 + sqrt(72))))\/(-1*sqrt(1200)))\/(6*3*sqrt(200)*-1).\nAnswer: sqrt(3)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -471189 and 0.1.\nAnswer: -47118.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5 = -3*x, 0 = 4*v + 5*x - 25. Let f = 23 - 20. Let t be (-4)\/f - (-266)\/168. Does t = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**4 - 2*x**3 + 10 - 17 + 9 + 2*x**2 to the form y*x + b + m*x**2 + j*x**3 + a*x**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*z + 19 + 3 = 0, 4*s - 51 = z. Is (13\/s)\/(3\/2343) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 plus -0.2?\nAnswer: 416.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-754)\/1560 - 2\/(-6))*(-8)\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30789 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: Let c = 0.61 + 3.09. Round c to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*b + 47*b + 167*b)*(-23 - 44 - 54) to r*b + q and give r.\nAnswer: -21901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1652, 1517, 1096, 245, -1180, -3323, -6328?\n\"Answer: -24*n**3 + n**2 + 30*n + 1645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(990\/((-110)\/5)*(-4)\/18)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2*p**3*s + 2*n**2*p**2 - 725090*n*p**3 - 1595*n*s + 7*p**3*s - p**2 wrt s.\nAnswer: -n**2*p**3 - 1595*n + 7*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(3\/31)*a*a\/(a\/a**(7\/5)) assuming a is positive.\nAnswer: a**(542\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54, -316, -778, -1446, -2326?\n\"Answer: -v**3 - 94*v**2 + 27*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**3 - 893*z - 122 wrt z.\nAnswer: 6*z**2 - 893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c63b3 + 78?\nAnswer: 2c645b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*14\/4*(-84)\/(-12). Let z be (0 + 0)\/(5 - 2). Suppose -u - 245 = -6*u - 4*p, -u - 5*p + h = z. Calculate the remainder when 145 is divided by u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 15*r**2\/2 + 61*r + 30. What is the hundreds digit of p(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 5*b - 0*b. What is the greatest common factor of b and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37762596 and 1062?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3972)\/(-33) - 44\/121. Solve 0 = -55*w + k + 265 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*l**2\/3 + 125*l\/3 - 9350.\nAnswer: (l - 55)*(7*l + 510)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 8. Suppose -c + 3 = d - t*d, c + 4*d = 0. Suppose -c*j + 4*i + 173 = -j, -5*i - 285 = -5*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v**2 + 11*v**2 + 3*v - v to j + a*v + r*v**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42958*f**3*q**2 + 4*f**2*q**2 - 2*q**2 + 2193*q wrt f?\nAnswer: -257748*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463*o**3 + 14*o**3 + o**2 - o**2.\nAnswer: 477*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4792 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*i**3*n**3*y - i**3*n**2 - 15*i**3*y - i*n*y + n**3*y wrt n.\nAnswer: 504*i**3*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1974 - -2062. Calculate the highest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01135 rounded to four decimal places?\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 117?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -387054, -774133, -1161224, -1548333, -1935466, -2322629, -2709828, -3097069?\n\"Answer: -x**3 - 387072*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 110\/(-39) - (-20)\/(-30).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -89 + (7 - (16 - -3)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 8\/(-108)*84\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236014538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 21*h**2 + 9*h. Let o(q) = 3*q**2 + 2*q - 4. Let r(z) = -5*z**2 - 4*z + 10. Let v(c) = 5*o(c) + 2*r(c). Give 2*f(b) - 9*v(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 16. Sort 3, 2, n, -1.\nAnswer: n, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1770381?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*w**2 + 34*w**2 + 39*w**2 + 32*w**2 - 149*w**2 + 8*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8 = 2*v, 15*q + 22 = 4*v + 16*q. Suppose 0 = 4*z - s - 728, -910 = -v*z + z - 5*s. Calculate the greatest common divisor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 992 + -983. Solve 5*q + 3*o - o = -13, q + 2*o + z = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11211212221 - 12200122?\nAnswer: -12001120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g = 400 + 20690. Is -4218 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/(-70))\/((2\/42)\/(17\/153))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 7:49 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -5 - -1) + 3. Let j = m + 1. What is the smallest common multiple of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/6 and -39\/196.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 + -39. What is the remainder when o is divided by (-1 - (-13)\/(-1))*15\/(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 4*u + 80. Let q(t) = 2*t**2 - 5*t + 81. Calculate -5*h(k) + 4*q(k).\nAnswer: -2*k**2 - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60.903 + -0.097. Let h = x + 61.3. Which is the third smallest value? (a) h (b) -3\/4 (c) -2\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.021 * 290.\nAnswer: 6.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 722 and 140861839?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 6*v**2 + 31*v + 30. Determine p(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -51*p + 45*p. Suppose 0 = -4*w + 2*y + 22 - 224, 2*w + 104 = -p*y. Are w and 0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 53*l + 100. Let b be i(26). Solve -3*y + 4*w = -1, 72*w - b*w = -y + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 2674 = 364574. What is w rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 4 + 4)*(207*k + 931*k + 1327*k - 465*k).\nAnswer: -40000*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**3 + 14*a**3 - 200 + 200 + 29*a**3.\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 17*d**2 + 18*d**2 - 14*d**2 + (-4*d - 10 + 10)*(-3*d**2 - 2*d**2 + 6*d**2))*(-21 + 36 - 18).\nAnswer: 18*d**3 - 63*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.331 + -3.671. What is the nearest to -0.1 in 0.3, 0.1, 2\/11, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-10))\/((-6)\/80). Let w = u - -27. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 22*t**2 + 3*t - 1. What is the remainder when ((-8)\/16*2)\/((-2)\/236) is divided by r(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1 (b) -0.119 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**2\/5 - 276*l\/5 - 864\/5 = 0.\nAnswer: -3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 151606240?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 28509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 737 - 0?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-5) + -1 + (1 - -2). Which is the smallest value? (a) -0.1 (b) o (c) -19 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 1786*r - 1791*r + 30, -3*h + 5*r - 30 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**2 + 0*z**2 + 3*z**2. Let r(b) be the third derivative of -b**7\/2520 - b**4\/24 - b**2. Let f(h) be the second derivative of r(h). Give w(f(n)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 13*r**2 + 113*r + 95. Calculate f(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -7*h - 1670. What are the prime factors of h?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-6))\/(3\/((-9)\/(-2)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 111\/4. Let h(q) = q + 4. Let v be h(4). Let c(k) = -k + 7. Let i be c(v). Is y at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*g - 91*g - 62*g - 26*g.\nAnswer: -269*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 504\/7749*15\/(-2). Let p = r - -39\/164. What is the biggest value in p, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02126 - 69602883.42\nAnswer: -69602883.39874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2175 (b) -1\/3 (c) 5 (d) -0.1 (e) 1\/2 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47390, 1\/5, 42, 1 in descending order.\nAnswer: 42, 1, 1\/5, -47390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 u when four letters picked without replacement from {y: 3, u: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480698 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 7*w**2 + 7*w + 7. Let q be t(-6). Solve 2*m = m + q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(1\/6))\/(-8 - 2). Let p = -3119\/161 - -135\/7. What is the second biggest value in p, -2, i, -5\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -296 by 5.\nAnswer: -296\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (833\/(-28))\/7*1\/(10\/(-40))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + sqrt(704) + 2 + sqrt(704) + sqrt(704) + -3 + (sqrt(704) + -4*-3*sqrt(704))**2 - (2 + ((3 + 0 + -2*sqrt(11) + sqrt(11))*-6)**2).\nAnswer: 248*sqrt(11) + 118253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -44, -51, -20, 61?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4045?\nAnswer: 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*w**4 - 15*w**3 - 2*w + 552.\nAnswer: -108*w**2 - 90*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -47716477.\nAnswer: 4\/47716477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**3\/2 - i**2\/2 + 3*i. Differentiate r(b) with respect to b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -9*f**2 - 7*f + 13. Let q = 20 - 7. Let i(r) = -4*r**2 - 3*r + 6. Let x(y) = q*i(y) - 6*t(y). Calculate x(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b - 4*h - 20, 2*h + 10 = -2*b. Let k = 6\/125 - -94\/125. What is the closest to b in -0.5, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 5*v - v)*(-2*v + v + 2 + 3*v).\nAnswer: 4*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 - 4076*s**3 - 32512*s**2 - 64960*s.\nAnswer: -2*s*(s + 4)**2*(s + 2030)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 456, 971, 1486?\n\"Answer: 515*q - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-7 + (12 - 0)) - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2227 divided by -131.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1129266 divided by -6.\nAnswer: 188211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 11) to base 8\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 2 + 2\/(-2). Let h(b) = -k*b**2 - 3*b**2 - 5*b**2. Let c(w) be the first derivative of -w**3\/3 - 13668. What is c(h(a))?\nAnswer: -121*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/30 and 52\/(-36)*48\/848.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**4\/12 - 5*y**3\/3 - 3*y**2 + 8*y. Let w be a(-9). Put -1, w, -2 in descending order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/10)*u)\/u**8*((u**(-3\/13)*u*u)\/u)\/((u**6*u)\/u) assuming u is positive.\nAnswer: u**(-1473\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**2 + z - z)*(-3*z**2 + 4*z**2 - 3*z**2) - 1053*z**4 - 643*z**4 - 2227*z**4 to the form j*z**2 + g*z**3 + d + k*z**4 + f*z and give k.\nAnswer: -3925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, b: 2, t: 6, e: 3, y: 1}. What is prob of sequence brt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(48)*-1).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-9) + (-1158)\/(-9) + -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49908 by -6.\nAnswer: -8318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 21 = -5*v, 2*f - 17 = 5*v + 2. Solve -n = f*n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(567) - sqrt(567) - (1 + (sqrt(567)*2)**2)) + -2.\nAnswer: -2268 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 + 2 - 20\/8 and -107\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -10*z + 1. Let y(k) = k**2 - 2*k + 1. Let i be y(-2). Suppose -8*q = -i*q + 1. Determine l(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 + 80.35. Let q = 0.25 + y. Let g = q - 1.6. Which is the smallest value? (a) -0.1 (b) -1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a factor of 39901676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15729 + -6168. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 1:20 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 12 = -0*j, 5*r - 32 = 3*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -8*x + 1. Let r be (-9)\/(-6)*(-24)\/(-9). Let p(c) = c**2 - 4*c + 1. Let m be p(r). What is f(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 2*s - 4. Let z = -9 + 5. What is g(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 times 1.4?\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**(-4\/3))\/s)*s**(-2\/5))**(-4) assuming s is positive.\nAnswer: s**(-116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 23\/(-8))\/((-2)\/12). Factor 1\/4*h**3 + 1\/2*h - u*h**2 + 0.\nAnswer: h*(h - 2)*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -3*n + 48, -93*r + 95*r = 5*n - 38 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187.1528*-4.\nAnswer: 748.6112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4964e (base 16) to base 4\nAnswer: 1021121032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32011100 - -2?\nAnswer: 32011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 999?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 8:15 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 932 - 933. What is the smallest value in -0.2, 5\/22, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 71*o + 299. Let w = 14 + 2. What is the hundreds digit of v(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961140.2 kilograms in tonnes?\nAnswer: 961.1402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3 - 23. What is the units digit of ((-18)\/(-10))\/(1\/j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 61 - p**3 - p - 54 + 11*p**2 - 9*p. Let t be k(10). Solve -4*i + 5 = 3*r - 24, -r - t = -2*i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + 0.2. Let x = -0.056 - 3.944. Which is the nearest to 1\/4? (a) 3 (b) w (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**5\/5 - 12*j**4 - 8*j**3\/5 + 656*j**2\/5 - 288*j\/5 - 896\/5 = 0. Calculate j.\nAnswer: -14, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 326 + 18?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6672551952 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 110 = 12*p. Suppose -5*w + 30 = -p. List the prime factors of (-1 - 0)\/1 - (-153)\/w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223466 (base 9) to base 3.\nAnswer: -20210112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 6, w: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -0.75. Let q = -1.45 - k. Let x = -1 - q. What is the smallest value in -4, 0.3, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567138847.\nAnswer: 11, 19, 167, 16249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, -27, -102, -247, -486, -843, -1342, -2007?\n\"Answer: -4*v**3 + v**2 - 4*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.935 - 0.155. Let p = 0.49 + t. Is p bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-48)*2)\/3.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 105\/6 - 2\/(-4). Let b = u - 10. Let o(f) = -5*f**2 + 57*f - 156. What is the lowest common multiple of b and o(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4015 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-390) - 2425\/975?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55243 - -54968.97. Round r to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2\/15, 187, 0.2, -1, -12.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 >= -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**2. Let s be h(-1). Let x(b) = b**2 - 5*b - 8. Let g be x(s). Let l(f) be the third derivative of f**4\/12 + f**3\/3 - f**2. What is l(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3560 (base 8) in base 13?\nAnswer: -b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3773.8 + -3774. Let s be (-132)\/16*(-94 + -2)\/4. Which is greater: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 0 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -32*x**2 + 5*x + 34. Let d be f(-3). Let o = d - -285. Solve 16*m - 24*m - o = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*q - 7 = -4*b, -4*q - 3 = 5*b. Let v be (b + 0)*69*-6. Let u = 751 + v. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 3\/13*c**4 + 18\/13*c - 21\/13*c**2 + 20\/39*c**3 + 171 - 6\/65*c**5 - 1\/39*c**6. Determine n so that y(n) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/26549439 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13559, -13457, -13355, -13253, -13151, -13049?\nAnswer: -12947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 5 (c) -375\/7 (d) -33 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 6024?\nAnswer: 6034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*w + 0*w - 7*w)*(351 - 74 + 232) - 3*w - 3*w + 4*w + (w + 2 - 2)*(-1 - 5 + 4).\nAnswer: 6613*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111100111001111100 (base 2) to base 14.\nAnswer: -66cb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 118420497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 1, 2.37, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 10:13 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4141110, 4141099, 4141082, 4141059?\nAnswer: 4141030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 786994\/7 + -111998. Let m = u + -430. Which is the closest to -0.1? (a) 0.5 (b) 0.3 (c) 40\/7 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255572?\nAnswer: 2, 181, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.4553426 to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25305)\/(-26510)*(-3)\/(-2)*(-192)\/504?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24736 times -0.04?\nAnswer: 989.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -66*(((-24)\/9)\/2)\/(-4)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*i - 19, -3*g - 5*i = -4*g + 1. Let w = 6 - g. Put -2, w, -3 in descending order.\nAnswer: -2, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 300?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-45)\/(-2))\/(2\/4). Let w = 223\/5 - v. Which is the nearest to 0? (a) w (b) 3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3811168 - -42?\nAnswer: 38111aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 6*c - 4. Let t be f(-5). Let l be t*38*1\/2. Calculate the greatest common divisor of 209 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (2 - 0) - 0. Let l(g) = -3*g + 1 + 0*g - 5*g**2 - 2*g**2 + 3*g**2. Let w(c) = c**2 + c - 1. Let r(j) = l(j) + 2*w(j). Determine r(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4518.727 tonnes to kilograms.\nAnswer: 4518727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 2, 12, -0.24, 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -7 + 2 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -20*k + 107. Let r be z(5). Let t(g) = g**3 - 6*g**2 - 9*g + 10. Give t(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/30 - 100\/(-24). Let p(n) = -2*n + 13. Let y be p(r). Suppose 0 = -y*c + 4*c. Solve 0*x - 4*x - 20 = c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.54 + -1.46. What is the second biggest value in -6\/5, -1\/8, s, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 5. Let x be (o\/(-33))\/(4 + -3). Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30.41428041 + 0.58576659. Let r = -0.008 - 30.992. Let t = r + g. What is t rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**3*o*o)\/(o\/(o**(-5)*o)*o))\/(o*o**(-2\/7))**(1\/11))\/(((o**(1\/4)*o)\/(o*o**(-4\/3)))\/(o*o**(-3)*o*(o**2*o)\/o)) assuming o is positive.\nAnswer: o**(325\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 35023068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4332)\/11913)\/((-8)\/286).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 20 + -8 + -1 + -4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.8412l to millilitres.\nAnswer: 27841.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eight fifths of a litre?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {r: 2, o: 6, u: 3, x: 4, d: 1, z: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -420 (base 5) to base 4\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -10*q + 5*q. Suppose -2*o - 4 = 0, -5*f - q*o - 2*o = 5. Calculate the highest common divisor of f and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 1. Let r be 2 + (-3)\/(-2) - (-7)\/14. Suppose -y = -r*o + y + 36, 0 = -2*o + 4*y + 30. Calculate the remainder when l is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 7*b - 9. Let o be (14\/(-4))\/(44\/(-88)). What is the tens digit of y(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 1.2. Which is the nearest to 1? (a) -2 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13 - -17) + (-2 - -1). Suppose -5*a = -b - 647, t*a - 2*a - 4*b = 118. Suppose -a = -5*f - 4*n - n, 2 = -2*n. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 914 - 2134 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + -12 + -5 + 11. Which is the closest to n? (a) 2\/5 (b) 7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163753?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:45 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 18*m + 9. Let w be z(17). Suppose -5*f = 10, -3*f = 4*u - 0*u + w. Let p(r) = -r**3 + 4*r**2 - 4*r + 2. Is p(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27309981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 32124 = -0*q - 7*q. What is the ten thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**3 + 16*h - 17*h - 2*h**3 - 4*h**3 to c*h**3 + s + r*h + p*h**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4590, 4, 5, -2.\nAnswer: -2, 4, 5, 4590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 + 2*j**2 - 5*j**2)*(-1 + 1 - 3*j**2) - 9*j**4 + 17*j**4 + 14*j**4.\nAnswer: 19*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1293590897?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/1855, -5 in ascending order.\nAnswer: -5, 1\/1855, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 6)\/((-1)\/11). Let x = -15 - p. Let m be (-6)\/x*(-8)\/(-3). What is the highest common divisor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/556434 and 55\/12179722?\nAnswer: 109617498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 74 = -2*r, -37 = 3*j - 4*r + 76. Is j at most -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - 8.95. Let z = d + 8.3. Is z at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 3*x + 546 + 9*x - 2*x.\nAnswer: 8*x + 546","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 - 21. Let s = -101 - l. Put 0, 2, s, -2 in decreasing order.\nAnswer: 2, 0, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 70 = 4*l. Calculate the remainder when 50 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24528 and 135420.\nAnswer: 276798480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 17. Let p(z) = z + 1. Let g(h) = h**3 + h**2 + h - 1. Let l(b) = -5*b**3 - 3*b**2 - 7*b + 1. Let n(y) = -3*g(y) - l(y). What is j*p(f) + n(f)?\nAnswer: 2*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 2394. Let g(k) = 8*k**2. Determine g(d(y)).\nAnswer: 32*y**2 + 76608*y + 45849888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 + 7*b - 6. Let u be r(18). Calculate the remainder when 124 is divided by u\/(-21) + 4\/(-28).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 21*b + 18*b + 49731 = 0, -5*b = -5. Suppose -25*f - 12*f - m = 0. Round f to the nearest ten.\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -845055 divided by -1.\nAnswer: 845055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/16*1*(-72)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-7))\/(2205\/6174)*95.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 117801 - 117801 + 8301*k**2 in the form a*k + s + u*k**2 and give u.\nAnswer: 8301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 107.945861 and 0.3.\nAnswer: 108.245861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:30 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-628824)\/(-140))\/19 - 2\/5 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (66\/(-5))\/(-3) + 350\/(-875). Let k(d) be the third derivative of 0*d + 0 + 1\/3*d**3 + 6*d**2 - 1\/2*d**n. What is the first derivative of k(q) wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29\/12 + -13\/6. Which is the closest to 3\/5? (a) 3\/7 (b) f (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/2 of a centimeter?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/3, 7, -0.5, 2, -4, 2\/47?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14336)\/8064*(-9)\/(-132)?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -138, -207, -276, -345?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47719.1547us to weeks.\nAnswer: 0.00000007890071875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i - 23*i = 16340. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - c**2 + c - 115. Let w be q(0). Let n = w - -56. Let r = n - -100. Calculate the remainder when r is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -11. Suppose v*k - 9*k = 2*b - 6, -5*b - k + 15 = 0. Let h(p) = 3 - b - 2*p + 0. Let a(d) = -7*d. Determine h(a(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - 13509\/(-190) - ((-10)\/60)\/(60\/(-36))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 - -53. Let k be ((-14)\/(-4))\/((-11)\/p). Factor -k*f**3 + 2*f**3 + 4*f**2 - 6*f**2 - 8*f**2.\nAnswer: -5*f**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -18*m**2 + m - 60. Let u(v) = -18*v**2 + v - 61. Let r(c) = 4*u(c) - 5*y(c). Find the second derivative of r(w) wrt w.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 5:49 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-2)*(-1)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 87, 196, 347, 540, 775, 1052?\nAnswer: 1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 19?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 15930?\nAnswer: 15930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y = -25*y + 98 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965868507.\nAnswer: 3, 107318723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 298*x**2 + 1216*x + 1224.\nAnswer: -2*(x - 153)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28659288926 + -3.\nAnswer: -28659288929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (630\/54)\/((-65)\/(-39)). Let f(n) = 104*n - 721. Give f(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29516823 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.87 + -6.17. Let b = -34.7 + g. Let a(n) = n**3 + 12*n**2 - 12*n + 15. Let l be a(-13). Sort -1, -4, b, l.\nAnswer: -4, -1, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*d, 3*q = -3*d - 15 + 54. Which is the third smallest value? (a) q (b) -2\/9 (c) -1.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssrlsglgggs. Give prob of sequence rg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13 + 1)*(-156)\/(-312). Let x(c) = c**2 - 9*c + 1. Determine x(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 3. Suppose 5*w - 47 = -62. Let g(q) = -q**2 - 2*q + 1. Let i be g(w). Let u be r(i). Which is the smallest value? (a) u (b) 2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 = 2*p, -p + 2*h = 4 + 4. Let m = 0.01 + 0.29. What is the closest to p in m, -4\/3, -2\/15?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0090720455 to 4 dps.\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*l**2 - l**2 + 2*l**2)*(-l + 2*l + l) - 3*l**3 + 12*l**3 + 6*l**3)*(-4 - l + 1 + 5) to the form o*l + a + d*l**2 + q*l**4 + k*l**3 and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-248)\/16*(1\/(-2))\/(37\/444). What is the greatest common divisor of w and 837?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 394 - 403. Which is the third biggest value? (a) 4\/7 (b) 2\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8479 or -12?\nAnswer: -8479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -2*t**7\/735 + t**6\/210 + 11*t**2 - 63*t. Let r(y) be the first derivative of m(y). Factor r(v).\nAnswer: -4*v**3*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2847873 <= 2847873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*z + 222*z = -150 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, c: 5}. Give prob of picking 1 c and 2 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a millisecond in nanoseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*g**3 + 27*g**3 + 357*g**3)*(-2 - 3 + 7)*(11*g - 11*g - 16*g - 1).\nAnswer: -10944*g**4 - 684*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 57 (c) 1916\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 142.\nAnswer: 13\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgxxfbfxfbbgeffxhbff. What is prob of picking 1 f, 2 b, and 1 h?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*m - 21*m - 24*m - 2 - 2*m + 2 + (-3 + 5 - 1)*(-3*m - 4*m + 6*m) in the form g*m + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/15 - 2\/5. Let t = 5 - h. Let v be (-2)\/(-1) - (-1 - 6). Solve v = t*u + u - 3*i, 0 = -u + i + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37825618?\nAnswer: 2, 19, 37, 26903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 1. Let q(v) = -v - 2. Let m = -6 + 10. Suppose 3*b = -h + 2 - m, 0 = 2*h - 5*b - 7. Determine h*q(w) - 2*y(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125000 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -792, -1582, -2370, -3156, -3940, -4722?\n\"Answer: t**2 - 793*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 21.8. What is the closest to d in 0, 1\/2, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - 27) + (35 - 44) - (-4 - (0 - -1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.86 + -125.66. Let r = 101 + n. Round r to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4113002.\nAnswer: 2, 2056501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2376)\/(-264)*6\/5?\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 h, and 1 s when four letters picked without replacement from {d: 2, s: 1, h: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*u = 62*u + 5*s - 45, -3*u + s = 21 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 22 = -28. Let k be (-3 - x) + (4 - 2) + -225. What is the tens digit of (-3)\/(-12) + k\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-2)\/21*2*(-9)\/96.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2710 and 40.\nAnswer: 10840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2260 and 114939080.\nAnswer: 114939080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 61\/4 of a micrometer?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 177\/236 + 235\/(-20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -231002*v. Let o(c) = -5*c**2 + 5. Determine y(o(n)).\nAnswer: 1155010*n**2 - 1155010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1253 and 4563391.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -654*w**2 + 222*w**2 - 163*w**2 - 654*w**2 - 25*w + 25*w.\nAnswer: -1249*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16788538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -14143\/3 + 4694. Let y = -151\/174 - 376\/29. What is the common denominator of y and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by -1\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppzzppzpzzp. What is prob of picking 1 z and 1 p?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.11 + 0.28. Let f = 0.07 - m. Let k = -227\/4 + 57. Which is the closest to f? (a) 1 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 14*m**2 - 20*m + 80. Let c be w(15). Sort -0.1, 0.4, 0.1, c, 6 in decreasing order.\nAnswer: 6, c, 0.4, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**2\/7 - 1048*s\/7 - 14300\/7 = 0.\nAnswer: -13, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -281338 + 281337.9777821. Let n = s + 0.0221. What is n rounded to 6 decimal places?\nAnswer: -0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 5:22 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72 + 0?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/5 - 1\/5. Let i be (2\/(-10))\/(1 + -2). Factor -d - i*l**2 + 2\/5*l.\nAnswer: -(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 857 * 261899.\nAnswer: 224447443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/21 + (-9)\/(36\/16) + -3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) 2181 (c) 2\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 94 times -0.023\nAnswer: -2.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-1128)\/(-752))\/(6\/(-16)))\/45\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -6.6. Let u be 15\/6*(-26)\/65. Which is greater: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*a + 54688 = -97802. Calculate the greatest common divisor of 65 and a.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*c + c + 2*c - c + (-23*c - 117 + 117)*(0 - 3 - 3).\nAnswer: 138*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 2\/(-15)*5*-27.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 31*b + 13. What is s(-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138)\/(-92)*((-896)\/12 + 16)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6 - -2) + 6)\/3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 169 = 505. Let b = -45 + a. Solve 0 = -0*n + n + b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -10. Let w = k + 9. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + -5 - (sqrt(64)\/sqrt(4))\/sqrt(8).\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 777 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4149 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bqqbqnqqnqbqzw.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 4370*w - 33. Determine c(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0 + 4 = 0, -4*k - 62 = 3*g. Let z = 24 + g. Solve z*a + 2 - 6 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -934096 divided by 158.\nAnswer: -5912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.454156 rounded to two decimal places?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546814.1 litres to millilitres.\nAnswer: 546814100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r - 5. Let g(j) = -5*j + 3. Determine -5*g(f) - 3*s(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - sqrt(1425))\/sqrt(3)*5.\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*i + 71 - 56 + 13*i + 187 to o*i + k and give k.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/q**(1\/2)*q)*q**(-2)*(q\/(q\/q**(-3))*q)\/(q*q**2\/q*q) assuming q is positive.\nAnswer: q**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1 = 9. Suppose 2696 = i*j - 2*x - 5689, -3*j + 4*x = -5017. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/17410 and -13\/3.\nAnswer: 52230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from euceeeeuueccwcce?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 313264176*f**2 - 168963225.\nAnswer: 626528352*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1780 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1331.001534 + 1331. Round t to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -211*k - 29. Is y(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -335659 - -335663. Factor 0 + 5\/2*f**v + 15\/2*f**3 + 5*f**2 + 0*f.\nAnswer: 5*f**2*(f + 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/6))\/o*(o*o**6)\/o)**(2\/133) assuming o is positive.\nAnswer: o**(5\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 13. Let d(f) = -f - 26. Let u(i) = -6*d(i) - 15*z(i). Let t be u(-11). Calculate the greatest common divisor of t and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - d + 2*d)*(-2*d + 2*d**2 + 2*d) + d**3 + 0*d**3 + 0*d**3 + 3 + 282*d**3 + 1 - 6 in the form z + w*d**3 + n*d**2 + i*d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1153320935.\nAnswer: 5, 13, 173, 102563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 1. Let w be g(5). Suppose w*k + 4 = -4*x, k + 4 = 3*x + 15. Let p be (2 - 2 - -2)*k. Solve 2*f = p*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1372.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -86*s - 1244. What is the remainder when y(-18) is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 15263.\nAnswer: 15263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - d**2 + d. Let h(i) = -24*i**3 + 6*i**2 - 8*i. Let g(t) = -h(t) - 8*q(t). Find the third derivative of g(n) wrt n.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2169 divided by -723.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 881\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*o = -33, -87 = 5*y - 2*o + 97. Let p be (-10)\/(-25) + 746\/10. Suppose -3*t - 27 - p = 0. Is y >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzz when three letters picked without replacement from {z: 10, h: 3, t: 1, f: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162432 and 1152.\nAnswer: 162432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 283*u**4 + 5*u**3 - 5*u**2 + 15*u + 791. Let w(s) = 2*s**4 - s**3 + s**2 - 3*s. Let q(t) = g(t) + 5*w(t). Differentiate q(o) with respect to o.\nAnswer: 1172*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7245, 7233, 7205, 7155, 7077, 6965?\nAnswer: 6813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -13*g - 6. What is the tens digit of x(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 2, q: 7, l: 1, h: 8}. Give prob of picking 2 h.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**4\/20 + 18*y**3\/5 + 351*y**2\/10 + y + 1388. Factor f(x).\nAnswer: -3*(x - 39)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -2\/5069, 1\/3 in decreasing order.\nAnswer: 1\/3, -2\/5069, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 2150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5952 and 1141.\nAnswer: -1820.1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -7545 in ascending order.\nAnswer: -7545, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 521405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0.3. Let g = 4.4 + -3.9. Which is the second smallest value? (a) g (b) 3\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6783202324 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/3)\/(d**(2\/3)*d)*(d**1)**10 assuming d is positive.\nAnswer: d**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 5*z**2 - 4*z + 5. Let x be r(-4). Let k(g) = -g**3 + 4*g**2 + 4*g + 2. Calculate k(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-3 - (-4 - (0 + 2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 3. Let u = -3 - h. Let i be ((-2)\/4)\/((-3)\/u). Is i at most as big as 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -12. Suppose i*r = 18 + 2. Is r\/(-2)*(-191)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.411*0.39.\nAnswer: 0.16029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -166 - -210. What is the lowest common multiple of 36 and h?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 6344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z. Let f(g) = -6614044*g. What is f(c(d))?\nAnswer: -13228088*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + 153\/(-18))\/(6\/(-80)). Let k = -10 + w. Solve 0*n - 3*n = 4*s - 16, -3*n = -2*s - k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-28)*-21*(-11)\/66.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6230*3*500\/(-3). What is b rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23660000.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68) - 6*(sqrt(68)*-2 + sqrt(68)) - 3*sqrt(68)*-2))\/((1*sqrt(28)*1)\/(5*(sqrt(175) - sqrt(7)))).\nAnswer: -780*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52222 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*f - 7. Suppose f*x - 98 = -38. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x - 4*y = -3, 4*x = -5*y + 5. Let g = -2 + x. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/10)\/(1\/105). Let l(o) = -3*o + 0*o + 7 + 0*o - 5 + 8*o**2. Let y be l(2). What is the highest common factor of y and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*25\/(10\/(-2)). Solve -5 - 5 = m*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0 + 4. Let s = 0 - v. Find the second derivative of 3*z - 4*z**s - 34 + 34 wrt z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*v + 17*v - 7. Let x = 8 - 3. Suppose -x*q = -69 + 19. What is the remainder when q is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 58837*109.\nAnswer: 6413233","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/112, -70, 3\/4 in decreasing order.\nAnswer: 3\/4, 0, -1\/112, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 195, 1008, 1807, 2586, 3339, 4060, 4743, 5382?\n\"Answer: -u**3 - u**2 + 823*u - 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*t + 119*t = 56. Let m(v) = 8*v + 7. Let h(k) = -17*k - 15. What is t*h(d) - 9*m(d)?\nAnswer: -4*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*c - 1 - 8 = 0, 0 = 5*r + 3*c - 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 67*m**2 + 2*m + 2. Let a(c) = c**3 + 144*c**2 + 2*c + 5. Give -2*a(n) + 5*g(n).\nAnswer: -2*n**3 + 47*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3\/w**3)**(2\/39) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20009 + -20007. Solve -2*v = -2*t + 2, -t - 2*t = z*v + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*(-4 + -2*((1 + sqrt(405))*-6 + sqrt(405)*2 + -2)) + 5))**2.\nAnswer: 421200*sqrt(5) + 5870025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -11. What is the third derivative of 2*w**3 + 5*w**2 - h*w**3 - w**4 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 449 + -426. Which is greater: 9 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-3\/5)*v**(-3)\/v)\/(v**5)**(19\/5) assuming v is positive.\nAnswer: v**(-107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 1:23 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41522*g + 13991?\nAnswer: 41522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8719748801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.013 rounded to 1 decimal place?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 10*x - 7. Let h be w(-2). Solve -h*s = -0*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 12 = -2*a + 6*a, 4*a = n - 8. Let q(v) = -v**3 + 7*v**2 - 11*v + 1. Let g be q(n). Solve 5*j + g*i + 34 = -11, -i - 25 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1460, 1545, 1676, 1859, 2100?\n\"Answer: f**3 + 17*f**2 + 27*f + 1415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*o = 222*o - 27. Suppose 0 = -4*a + 3 + 9. Calculate the highest common divisor of a and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 1170 = -12*q. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 39*i**2 + 2851*i + 283. Give f(-73).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 6*o**2 - 7*o + 9. Suppose 1429*s = 1427*s + 14. What is a(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 47. Let f = w + -16.4. Let q = f - 0.6. Which is the smallest value? (a) q (b) -1\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*b + 5*p + 24 = 9*p, -4*b + 49*p - 54*p = -30 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.81 at least as big as -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -517, -1157, -2069, -3259, -4733?\nAnswer: -6497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (7 - 3)) + 1 + 0 + -11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-4)*(-44 - (-18 + 8)). Let d = 780 - f. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-28) + 111\/21. Suppose i - p*u - 212 = 0, 2*u - 656 = -3*i + 48. Suppose 2*n - 5*n + 4*c = -i, -n = -5*c - 81. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 105 + b?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177517, -180982, -184447, -187912?\nAnswer: -191377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 27\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16 + -17 - (-24)\/(-8). Put 21, 2\/13, y in descending order.\nAnswer: 21, 2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*c**3*w - 57*c**2*w + 5*c*w - 20*w + 90 wrt c?\nAnswer: -15*c**2*w - 114*c*w + 5*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -109956*l**3 + 3679?\nAnswer: -329868*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -13*a + 5 - 5 + 2 - 1. Suppose -2*q - 21 = -23. Determine j(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - (-808)\/(-192))*130204\/(-1790). Let n = b - -9\/716. What is the common denominator of -77\/8 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*t**2 + 5*t**2 - 7*t**2)*(-2*t**2 + 2*t**2 + 2*t**2 + 2*t).\nAnswer: 20*t**4 + 20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66636 by 108.\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c - 11. Let s = -25 - -19. Is m(s) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2019488693376 take away 4?\nAnswer: -2019488693380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 54139 + 2*r**2 + 2*r - 54139 - 5*r. Let i(s) = -6*s**2 + 10*s. Give 7*f(g) + 2*i(g).\nAnswer: 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234088\/1160 + -198)*(13\/(-4) + 2)?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1409812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-6\/11))**13\/(j**(-2\/59)\/((j*j\/j**(-2\/25)*j)\/j)) assuming j is positive.\nAnswer: j**(130173\/16225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 4*m**2 + 24*m - 17. Let r be f(7). Suppose 89*s = 95*s - 90. Solve -r*u = -9*u + s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * 1649.\nAnswer: -2143.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -33794338 and -33794338 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**2\/2 - 1920. Suppose j + 5*n = 1, n = -5*j + 3*j + 11. Let p(x) = -j*x - 3 + 3. Calculate p(v(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 3:10 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from xnvn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 4*c + d + 9, 3*c = -5*d + 22 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + sqrt(3) + 4.\nAnswer: sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8256628874.\nAnswer: 2, 13, 16943, 18743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.035157 + 2.035157. Let j be 10\/(-25) - (-23)\/(-5). What is the third biggest value in j, -0.3, 0.02, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**5\/60 + j**4\/12 - j**3 + 10*j**2. Let x be q(-4). Solve 13 + 1 = 3*z + f, f - 9 = -x*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/11042 and 47\/230?\nAnswer: 1269830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201022201 - -12?\nAnswer: 201022220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -691*j*m - j - 499*m wrt j.\nAnswer: -691*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 653150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(209) - sqrt(209))\/sqrt(11) - (sqrt(931) - 3*sqrt(931)))*5)**2.\nAnswer: 121600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**3 + 4*g**2 - g + 1. Let j be h(-3). Let c(m) = -j + 3*m - 4*m + 121. Let b(f) = -14*f. Calculate c(b(y)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m - 9. What is the lowest common multiple of m and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**2 - 6*i + 105 = 0. What is i?\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + a - 4*a + 3*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 6:17 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 52, 40, 28, 16, 4, -8?\n\"Answer: -12*y + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11971823, -47887318, -107746477, -191549300, -299295787?\n\"Answer: -11971832*w**2 + w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59834 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, q: 14}. Give prob of sequence zqzz.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 290*b**3*w**3 + 76*b**2 - 2*w**3 wrt b.\nAnswer: 1740*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21500, 21551, 21602, 21653, 21704?\nAnswer: 21755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2720880 by -15116.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, j: 2, v: 4, o: 3, f: 4, n: 1}. What is prob of sequence vn?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**4\/2 + 118*t**3 - 4896*t**2 + 74240*t - 385024 = 0.\nAnswer: 16, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 13) in base 14?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (5 - 7 - -4)\/((-10)\/(-11065))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m + 1. Let c be 4*(28\/8)\/7. Let q(s) = -116 + 116 - c*s. Determine 2*q(y) - 3*r(y).\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 3:34 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 65546565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4754152 and 238.\nAnswer: 33279064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-39))\/b)**22)**(2\/27) assuming b is positive.\nAnswer: b**(-572\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -81864, 12, -0.3?\nAnswer: -81864","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(7\/3)*m**3*m*m**(1\/8)\/m**(2\/3) assuming m is positive.\nAnswer: m**(139\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8234 is divided by 1175.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (29*62\/(-10788))\/(1*2\/(-8))*-174?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w**3 + 13*w + 13. Let j(c) = 4*c**3 + 6*c + 6. Let d be -1 + (3 - (-4 - -4) - -4). Give d*r(n) - 13*j(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.2291, 1, -0.2, 43?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 - -0.44. Let a = n + -1.4. Put 1, 1\/8, a in ascending order.\nAnswer: a, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20057 - -39.\nAnswer: 20096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18605211 + 18596601.789. Let i = w + 8613. What is i rounded to one decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5372*i - 82. List the prime factors of u(5).\nAnswer: 2, 3, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1190 + 2*l**2 - 1181 - 62*l**2 in the form j + i*l**2 + d*l and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 100\/135 + 4\/(-6). Let g = 38\/27 - b. What is the second biggest value in g, 3, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from hfff?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1751 - -5045. Calculate the highest common factor of 108 and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*z + 54*z + 60912 = -512*z for z.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 6*f + 1. Let r be j(5). Let n = 6 + r. Factor -i**2 + 3*i**2 - 2 - 4*i - 4*i**n + 0*i.\nAnswer: -2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80846, -80844, -80840, -80834, -80826, -80816, -80804?\nAnswer: -80790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.002116 and -40.\nAnswer: -0.08464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(2 + -75)*-1. Let w = g + 49. Let v = -73\/3 - w. Which is the second smallest value? (a) -0.3 (b) v (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*r + 8*r + p - 169, -r + p = 2*p + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -19 + 6*w + 4 + 5 - 5*w. Calculate x(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 - 37. Suppose -3 = 4*s - c. Let m be 5\/3 + 2\/s. Is m at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-42)\/4)\/7*16. Let d = n - -9. What is the remainder when 4\/(-10) - 1611\/d is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130300 (base 5) to base 10.\nAnswer: -5075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6717 + 80605\/12. Let x(l) be the third derivative of -b*l**3 + 0 + 0*l + 17*l**2 - 1\/96*l**5 + 1\/960*l**6 + 1\/24*l**4. Find h such that x(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/60 and -91\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 8*6\/24)\/1. Solve t + 3*m + 5 = 0, t - m - 3 + 4 = z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -3 (c) 3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**5\/21 + 314*c**4\/21 - 928*c**3\/21 + 88*c**2\/3 = 0?\nAnswer: 0, 1, 2, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 942244122?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 27139*j - 8846963. Calculate g(330).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -596, -1406, -2216, -3026, -3836, -4646?\nAnswer: -5456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 32 = -4*h, 0 = -3*h + 4 + 5. Let l(k) = 6*k**2 + 6*k. Let q be l(r). Suppose q = m + 2*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.81*1\nAnswer: 2.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13249, -13254, -13265, -13288, -13329, -13394, -13489, -13620?\nAnswer: -13793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11490234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o + 3*o + o**2 - 5*o + 3*o - 2*o - 9. Give i(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -803.54 - -796. Let r = d - 0.46. What is the third smallest value in -3, -0.2, r, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2164569920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326909.\nAnswer: 11, 113, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 4 (c) 2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*5*(-3)\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -23*k**2 - 11*k + 11. Let s be o(4). Are s and -1603\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 53*h + 26*h + 23*h as a*h + i and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 13*g**2 + 3*g + 1. Let w(h) = h**2 + h. Let q(y) = -s(y) + 6*w(y). Let p(x) = -x**2 + 7*x + 2. Let n be p(7). What is q(n)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6725 (base 9) in base 5?\nAnswer: -124324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -387205847 and -26.\nAnswer: -387205873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Let y(k) = k**2 + k + 2. Let r be y(q). What is the units digit of (r\/3)\/((-2)\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 205552 or 205551?\nAnswer: 205552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11\/14 - -9\/7. Let h = -2\/15 + 4\/5. Let u = -11\/5 - -12\/5. What is the second smallest value in u, h, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 147.93 - 148. Let o = -2.4 + 2.2. Sort o, n, -2, -0.5 in ascending order.\nAnswer: -2, -0.5, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 69653 in descending order.\nAnswer: 69653, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -29*n - 58. Let s(w) = 8*w + 19. Let k(h) = 2*o(h) + 7*s(h). What is k(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107.5 != -2.38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 + -76. Let i be 1*(-14)\/(-2)*(1 - n). Let u(o) be the third derivative of o**4\/24 + 2*o**3\/3 - 2*o**2. What is u(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 66*z**2 + 107*z + 1344. Let n be i(64). Factor 2\/23*o**2 + 4\/23*o - 2\/23*o**3 + n.\nAnswer: -2*o*(o - 2)*(o + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 3252, 4.8 in increasing order.\nAnswer: -45, 4.8, 3252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26204339 to 3 dps.\nAnswer: -0.262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqdnqqdttt. What is prob of picking 1 d and 1 n?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9*c = -7*c + 21887, -4*o = -5*c - 29178. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.08, 603, -0.2, -2\/3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**5 + 1369*s**4 + 1116*s**3 - 59722*s**2 - 138*s wrt s?\nAnswer: 60*s**2 + 32856*s + 6696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 10*h + 10. Let z be j(9). Suppose -2*x + 1 = 5*a, -2*a - 11 = 3*x - 6*x. What is the greatest common divisor of x and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818910 a multiple of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, x: 2, n: 1, s: 2}. What is prob of sequence xj?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 12*h - 2. Let z be u(-12). Let v(m) = -6*m + 2. What is the least common multiple of v(z) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453838 divided by -29?\nAnswer: -1453838\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 18*l**5 - 228*l**4 + 308*l**3 + 264*l**2 - 246*l + 44 = 0.\nAnswer: -1, 1\/3, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**3\/6 - 92*g**2. Let c(b) = 3*b - 4*b + b - 4 - 8*b. Give c(p) - 6*l(p).\nAnswer: -8*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 91275743?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*-4*-2*sqrt(2299) + 5 + 2) + -4)**2*1.\nAnswer: -17952*sqrt(19) + 5297185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-5)\/c*c*c**11)**(2\/19)\/(c**(-3\/4)*c\/((c**(-6\/5)*c)\/c*c)*c*c)**(-3) assuming c is positive.\nAnswer: c**(3073\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -156013.31 to the nearest one thousand.\nAnswer: -156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*v - 4. Suppose -c + q + 37 = 0, -2*c - 1954 + 1986 = 4*q. Calculate the remainder when c is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 24 = -3*c, 0*c + 6 = -2*c. Suppose -67 = 4*i + 289. Let t = i + 94. Solve t = 2*y - p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -596*m - 6. Let s(g) = 3*g + 2. Give -f(n) - 3*s(n).\nAnswer: 587*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 17. Suppose q - 3 = c. Suppose 9 = -4*y - q. Let l(j) = -2*j**2 - 4*j - 1. What is l(y)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2871)\/9 + -2 + 1. Let i be (-1842001)\/(-3) + (j\/24 - -13). Round i to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2878 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 955 + -955. Let n = -353\/6 - -59. Is n less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - x - 3*x)*(-6 + 4 + 3) + (3 - 19*x - 24*x + 32*x)*(-4 + 0 + 2) in the form f + q*x and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -40778 and -40778 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45*c - 34*c + 3*c - 20*c)*(7 + 117 + 60) in the form y*c + o and give y.\nAnswer: -17664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -646, -2\/5, 0.2, -0.02, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 11768295?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/24)\/((-2)\/(-8)). Suppose 5*w = b*s + 27, w - 3*s = -0*s + 15. Find the third derivative of -12*c**4 - 21*c**2 + 87*c**w - 87*c**3 wrt c.\nAnswer: -288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*l**2*n**2 + 2*l**2 + 1212*l*n**2 - 1078*n + 9 wrt n.\nAnswer: -50*l**2 + 2424*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 1, 2 in descending order.\nAnswer: 2, 1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6648)\/(-2493))\/(4\/(-12)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 113873 = -3*z, 5*z = 5*g + 117873 + 71927. List the prime factors of z.\nAnswer: 37967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18875 + 18896.603. What is v rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - s + 18, -4*s = -3*s. Suppose 3 = -5*k + 2*i, -2*k + 5*i - 10 = 2*i. Suppose 5 - k = 2*y. Calculate the lowest common multiple of c and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (2 + 3 - 18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**6\/120 + m**5\/12 - 7*m**2. What are the prime factors of g(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92848?\nAnswer: 2, 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*a**5\/5 + 652*a**4\/5 + 18*a**3 - 2808*a**2\/5 + 1512*a\/5 = 0. What is a?\nAnswer: -2, 0, 42\/71, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(sqrt(171) + -5*(3 + sqrt(171))))**2 - (3*sqrt(171) + -3 - (-3 + sqrt(171) + 5))**2.\nAnswer: 420*sqrt(19) + 2251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 5*q - 4*q)*(-4*q + 3*q + 2*q)*(40*q**2 + 3*q**2 + 22*q**2).\nAnswer: 260*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, g: 2, i: 4, k: 2, f: 5}. Give prob of sequence yigk.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.951205575 to two dps.\nAnswer: -9.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2554, 4371, 6114, 7747, 9234, 10539, 11626, 12459?\n\"Answer: -6*y**3 - y**2 + 1862*y + 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 10 - 3*j**2 + 0 to t + m*j + g*j**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5 = 0, -5*i - o + 3*o - 52 = 0. Suppose 3*s = -2*f + 5*f - 63, -2*f = 5*s - 14. Let b = i + f. Calculate the remainder when b is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 239277 + -239249.00035. Let g = 28 - u. Round g to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -1, 1, 5, -24, -3, 105 in decreasing order.\nAnswer: 105, 24, 5, 1, -1, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 27 = -4*r + 4*x, 14 = 4*r + 2*x. Suppose 5*p = -r*p + 30. Solve 0 = 2*t - 3*s + p - 9, -t - 7 = s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 1 = 10*h + 3*n, 5*h - 5*n = -35 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/((k*k**(-3\/5)\/k*k*k)\/k)*k)\/k)\/(k**(-2\/31)\/k*k))\/(k\/k**(7\/3))**(-1\/24) assuming k is positive.\nAnswer: k**(4489\/2790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 96.8 - 2414535416\nAnswer: -2414535319.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.0075 * 1\nAnswer: 1.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4211.31 plus 0.0397376?\nAnswer: 4211.3497376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.40263158 + 156499\nAnswer: 156497.59736842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 16 - 5. Let k = -9 - g. What is the greatest common divisor of k and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -603441\/70 + 8619. Calculate the common denominator of r and -51\/520.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46841 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/9)\/((-5)\/6). Find the second derivative of 8*b**2 - 61 + 61 + 11*b**d + 19*b wrt b.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -20 + -2 + -34 - -22.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -51*h**2 + 16*h - 7. Suppose -5*p = -25, 3*r + 4*p = 2*p + 28. Let u(b) = 50*b**2 - 15*b + 6. Let g(i) = r*u(i) + 5*q(i). Is g(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144280 (base 9) in base 4?\nAnswer: -111211323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 276220262 to the power of 1\/3, to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 0*y + 3*y)*(-97*y**2 + 3*y**3 - 90*y**2 + 271*y**4 + 185*y**2).\nAnswer: -271*y**5 - 3*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.608 rounded to 1 decimal place?\nAnswer: 129.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114272 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2364*n - 52. Let u be d(-16). Is (6\/(-9))\/(u\/(-18879) - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 5:31 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 3:42 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 2) + -2 - -1. Suppose 5*d + 6 - 26 = q. Suppose y + 30 = 3*b, 35 = d*b + 3*y + 8. What is the highest common divisor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 302040 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -454.601 - 0.399. Let j = x + 454.9. Is 342 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5)\/(d\/(d\/d**(1\/13))))\/((d\/d**(2\/5))\/(d\/(d*d**(-4)*d*d))) assuming d is positive.\nAnswer: d**(99\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*i - 1028 = 83*i + 7*i + 1442 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -395, -576, -757?\nAnswer: -938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(2\/23)\/c))\/(c*c\/c**(2\/15)*c))\/((c\/(c\/c**(-1\/3)))\/(c\/c**(1\/9))) assuming c is positive.\nAnswer: c**(278\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from jjzky?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -41. Let r(x) = -2*x**3 + 6*x**2 - 5*x + 4. Let z be r(f). Suppose -2*w = z*w - 392. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -263d7b + -29?\nAnswer: -263da6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -19, -3, -5, -0.2, 0 in descending order.\nAnswer: 0, -0.2, -3, -5, -11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*u = 4392 + 4304 - 3171 for u.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -10, -22 in increasing order.\nAnswer: -28, -22, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10067 and 3.\nAnswer: -10064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 5 + 2 - 4 + (70*g + 1714 - 1714)*(-2*g + 4*g + 0*g).\nAnswer: 142*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23169359, 46338745, 69508133, 92677523, 115846915, 139016309, 162185705?\nAnswer: 185355103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8645?\nAnswer: 5, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4150846?\nAnswer: 2, 7, 296489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 7:30 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -72981 divided by -1431?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**4\/4 + 5*t**3\/3 + 6*t + 89. Determine g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -411 + -1?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(50) + 3) + -4.\nAnswer: -15*sqrt(2) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1539)*-2*-6.\nAnswer: 324*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*m - 2*m = -10, 2*m + 30 = 2*f. Suppose 5*o - 2*o = 87. Calculate the remainder when o is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + 9 + 6 + 0 + 9 + 265 + -286.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 14) to base 7\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 15) to base 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 17*m**2 + 8*m - 134. Let y be i(17). Solve -y*j + 22 = 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (13 + -45 + 11 - -11) + -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -194 - -176. Let i = -25 + 45. Let a = i + u. Solve 2 = -2*r - w, a*w - 4 = r + 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -55. Suppose d = -3*d + 4, -2*k = n*d - 1181. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3051, 3021, 2991, 2961, 2931?\n\"Answer: -30*z + 3081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s**3 + 2*s**2 + 7. Let j(o) = 13*o**3 - 3*o**2 - 13. What is -4*j(d) - 7*w(d)?\nAnswer: -3*d**3 - 2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2133 * -0.61.\nAnswer: -1301.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 3*k**2 - k - 6. Suppose -17 = 8*w + 7. Calculate z(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 - 2. Let v(l) = 7*l**2 + 4*l - 6. Let g(u) = -v(u) + w(u). What is g(3)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84591\/4 or 1?\nAnswer: -84591\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4.044262ug?\nAnswer: 0.000000000004044262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 21, -3\/4, -1, 0, -0.4 in decreasing order.\nAnswer: 21, 0, -0.03, -0.4, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6544157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * 0.162.\nAnswer: 0.00162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, p: 1, r: 13, l: 3}. Give prob of picking 1 l, 2 r, and 1 p.\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 3 (c) -21 (d) 0.9 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q + 0*q)*(2*q**2 - 2*q + 2*q) + (-5*q**3 + q**3 - q**3)*(-1 + 0 + 2).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 28*h - 2. Let p(n) = 2*n**2. Give p(k(l)).\nAnswer: 1568*l**2 - 224*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-89)\/((-2492)\/(-1008)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25550743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 99*j**2. Let t(l) = -2*l + 39. Let u be t(-7). Let y(z) = 109*z - u*z - 55*z. Give r(y(v)).\nAnswer: 99*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 758 + -723. Suppose 5152 + 15358 = s*a. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**3 - 2*a**2 - 7*a - 7. Let u be q(-3). Let s = u - 110. Suppose -3*v + 2*v + 167 = 0. What is the remainder when v is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -l + 2*l, 0 = 4*x - 2*l - 2. Suppose -4*h = 5*u - x, -h = -2*h + 2*u + 10. Let r(c) = -40 + 17 + 9 + c**2 + 11 + 0*c**2. What is r(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1271435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 37 = 95. Let l = -67\/2 + s. What is the nearest to l in 3\/2, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 823 = 4*u - 2*k - 149, -4*k = -5*u + 1212. What are the prime factors of u*9\/12*1 + 3?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69726, 278920, 627564, 1115658?\nAnswer: 1743202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 - 2*g**3 - 14*g**2 + 4*g**3.\nAnswer: 3*g**3 - 14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*g - 26 = 6*a + 39*g, -11 - 6 = 5*a + 3*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2088683 or -1?\nAnswer: 2\/2088683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69181 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27378 and 5967.\nAnswer: 465426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 736464 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: What is the first derivative of -4574*y - 17030?\nAnswer: -4574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**6\/60 + y**5\/6 + 5*y**4\/12 + 3*y**2. Let k(u) = -u**2 - u. Calculate -h(f) - 10*k(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1805.711 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, k: 2, n: 1, z: 1, y: 2}. What is prob of picking 1 z and 2 y?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44916130 and 138958?\nAnswer: 8174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1582472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -39. Let m(s) = s**2 - 9*s - 27. Let g be m(11). Sort g, 5, d in ascending order.\nAnswer: g, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 8*r**2 + 8*r - 2. Suppose -2*t - 12 + 46 = -4*q, -4*q - 55 = -5*t. Let f be z(t). Let j = 0 + 2. Put j, f, -2 in descending order.\nAnswer: f, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3396715745\/3016 + -1126232. Find the common denominator of q and -55\/12.\nAnswer: 9048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 2. Let a(y) = y - 4. Let o(f) = -2*f + 9. Let b(w) = -9*a(w) - 4*o(w). Let h be b(-2). Which is bigger: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-2)*(-48)\/(-30).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + (1*sqrt(20) + sqrt(20))*-6)\/(sqrt(36)*-2) + -2)**2.\nAnswer: -22*sqrt(5)\/3 + 749\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 2*b**3 + b + (b**3 + b**3 - 4*b**3)*(-4 + 5 + 1) + 1 - b**3 - 1 + 2*b**3 + 5 - 5.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 698*g - 700.\nAnswer: 2*(g - 350)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**4 + 2*m**4 - 13 + 15 + 2*m**4 - 4*m**4 + 1869*m**2 as s*m + f*m**4 + o*m**3 + q + k*m**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -22*t - 136. Let p be s(-7). Suppose -p*k = -22*k + 2152. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 0, 3*q + 20 - 60 + 22 = 6*q + 2*v - 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2717*a**2 + 827*a**2 - 5587*a**2.\nAnswer: -7477*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1873, 3759, 5645?\n\"Answer: 1886*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120325\/12 - -10033. What is the common denominator of j and 133\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1025 - 679. Which is smaller: q or 347?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179291390 divided by 445?\nAnswer: 402902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 - 18*l - 12. Let a(t) = -9*t**2 + 3*t - 2. Let p be a(1). Let b be s(p). Solve 0 = 4*f + 3*g - 20, -8*f + b*f + 2*g = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5195110*l*r**5 + 5280366*l*r - r wrt r.\nAnswer: -103902200*l*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 172341.\nAnswer: 861705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-1 + 6\/8). Let n be (40\/o)\/((-1)\/2). Suppose n*h - 805 = -5*g, g + 4*g - 5*h - 805 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 - 10*s**2 - 14*s - 10. Let z be o(-6). Let l = -267 + 165. Let r = z + l. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 3*n**5\/20 - n**4\/3 + n**3 + 220*n. Let b(w) = -7*w**3 + 7*w**2 - 11*w. Determine 4*b(q) + 7*p(q).\nAnswer: -7*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -648, -1463, -2598, -4053, -5828?\nAnswer: -7923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**2 + 39 - 39 + 22*o**5 wrt o?\nAnswer: 1320*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 70*a**3 + a**2 - a - 1. Let c be t(-1). Is (c\/(-12) - 3)*92 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 + -1)\/((-3)\/(-462)*7). Let n = 93 - v. Let t = n + 101. Solve 4*u - q - 21 = 0, -4*q - 6 - t = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 7:47 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 + 15*v**2 - 9*v. Let c(x) = -x**3 - 7*x**2 + 4*x. Let g = 5 + -1. Let j(i) = g*f(i) + 9*c(i). What is the third derivative of j(a) wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 561 and 60?\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*l**2 - 36*l + 36*l + 105*l**2 - 1907*l**2.\nAnswer: -1930*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q + 1. Let i be 16\/10 - 2\/(-5). Suppose -x + 0 = 3, 4*c + i*x = -18. What is the remainder when 37 is divided by l(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 34*c - 37*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 848.1584 nanometers in meters?\nAnswer: 0.0000008481584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1454 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -4*f - 4*v - 47, -4*f = -4*v - 64. Let h be 456\/408 - 2\/f. Suppose 2*j - 14 = 3*u, -2*j - 4*u - 21 = -63. Sort h, j, 0 in decreasing order.\nAnswer: j, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*n. Solve 0 = q - 0*q - 3*c - 15, -c - 4 = n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2497*p - 834 + 1243*p + 1250*p as h*p + f and give f.\nAnswer: -834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 192340 rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2430.3 + 2430. Sort -11, 0, s in ascending order.\nAnswer: -11, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9811730 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3240\/(-432)*(-1)\/(-3). Which is the nearest to -2? (a) 2\/67 (b) p (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 9:44 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 693623 or 693621?\nAnswer: 693623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -224 greater than -223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205 and 451?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 8:20 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.9 (b) 3\/5 (c) 2\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4, 14, 28, 46, 68, 94?\n\"Answer: 2*a**2 + 4*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 27944.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 656, 597, 440, 137, -360, -1099?\nAnswer: -2128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sooooqwooooo. What is prob of sequence sq?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1100)*-1 + 5.\nAnswer: -10*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73\/3 - 24. Let j(y) be the first derivative of y - 2 - y**2 + u*y**3. What is f in j(f) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1334, 2413, 3488, 4559?\n\"Answer: -2*m**2 + 1085*m + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - g + 101 = 2*g, 0 = 4*y + 5*g + 109. Let n be y*2\/(2\/(-3)*2). Suppose -v = -4*v + 114. Which is smaller: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 896640 by 15.\nAnswer: 59776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.09 and 2477.\nAnswer: 2476.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 3, o: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -2\/3*x**4 - 8*x + 0*x**7 + 0*x**3 + 0*x**5 + 0 + 1\/14*x**8 + 0*x**6 + 0*x**2. Find the third derivative of y(q) wrt q.\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -1, -2*z + 4*b - 2*b = -6. Let d = z - -33. Calculate the remainder when 1\/(2 + d\/(-18)) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -443 - -443.0005776. Round r to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 3. Let t(u) be the second derivative of u**3 - 5*u**2 - 5*u. Let g(n) = 10*r(n) + 3*t(n). Let q(k) = -14*k. Calculate q(g(w)).\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h - 3 + 7*h**2 - 2 - 3*h. Let y be (-5)\/(-3) + 4\/3. Let x(l) = 4*l**2 + l - 3. Let j = -27 - -22. What is j*x(u) + y*n(u)?\nAnswer: u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 154 = 5*q, 14*q + 3*j = 11*q + 93. Let f be 156\/130 - 29\/q. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130497?\nAnswer: 1130497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9 minus 0.248?\nAnswer: -7.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 301, -3, 352, -2 in increasing order.\nAnswer: -3, -2, 4, 301, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 5. Let g be (-2)\/7 - (-3 - z). What is the closest to g in 1, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*g**2*h**3*m**2 + 4839*g**2*h**3 - 2*g**2*h**2*m**2 + 2*g*h**2*m - 2*g*m**2 - 2*h**2 + 1039*m**2 wrt h.\nAnswer: -42*g**2*m**2 + 29034*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/(((-68)\/(-952))\/(13\/273)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - ((-3)\/(-5))\/((-1)\/(-2495)). Calculate the common denominator of 3\/4 and 4422\/g + (-1)\/(-4).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 825 = 4*s, 2*h = 5*s + 3*h - 1038. What is the greatest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**2 - 3*z + 6. Let f be p(4). Suppose -3*c + 336 - f = -3*j, -3*c = 2*j - 271. Let i = c - 8. What are the prime factors of i?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 - -86. Let b = 7 + k. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -a - 3 + 2, 3*w + 19 = 2*a. Let k(l) = l**2 + 5*l - a*l. Let t(q) = 7*q - 5. Let b(j) = j - 1. Let i(h) = -5*b(h) + t(h). What is k(i(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*d + 0 - 2*d**4 + 2*d**3 + 10*d + 1 + 4*d in the form w + u*d**2 + n*d + x*d**3 + i*d**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 + -3)*(-74)\/(-37). Solve -24*v - 40 = r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**2 + 10*m + 27. Let z(l) = -17*l**2 - 19*l - 54. Let d(o) = 5*x(o) + 2*z(o). Let y be d(-9). Put 4, y, -20 in decreasing order.\nAnswer: 4, y, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 0, -7 in increasing order.\nAnswer: -7, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 11. Let u be y(3). Suppose -20*b + u*b = 579. Let a = 753\/4 + b. Calculate the common denominator of 7\/6 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25102*v**3 - 662*v**4 - 25102*v**3 - v**3 + v**3 - 2*v**4 + (-4*v**3 + 7*v**3 - v**3)*(v - v - v).\nAnswer: -666*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1602*y - 1543*y + 9236 - 9239 + 1 + y - 1 + (-6*y - y + 5*y)*(0 + 2 + 0) + y - 2*y + 0*y + y + 4*y - 6*y to the form q*y + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 651397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 2, 1\/63 in decreasing order.\nAnswer: 2, 1\/63, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3503 + 655 - 320 = 99*g for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 + 53*r. Let q(u) = 6*u**2 + 81*u + 2. Let p(c) = -8*m(c) + 5*q(c). What is p(-8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 10:45 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18443868*d**3*q**2 + 2*d**3*q + 238*d**2 + 6*d*q + 80 wrt q?\nAnswer: 36887736*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 90357*b**3 - 4*b + 7*b - 90360*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12250297 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 435*4 - (-156 - -148)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6*m - 25 = 5*z, 28 = 5*m - z. Put m, -1, -113, -5 in increasing order.\nAnswer: -113, -5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 4 (b) -3 (c) 0.5 (d) -718\/211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.438436299 + 0.12.\nAnswer: -0.318436299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300115 (base 7) to base 3.\nAnswer: -2120020201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Let n be 8\/28 - (-2)\/(-252)*64. Which is smaller: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -326399, -652796, -979193, -1305590, -1631987?\n\"Answer: -326397*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21503644 is divided by 60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 43*t**2 + 132*t - 30. What is k(39)?\nAnswer: -966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*k = -43*k + 3*n + 19, 5*n + 41 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2059814?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2352*z + 17667 = -2343*z. What is the greatest common divisor of z and 604?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-9)\/v)\/(v*(v*v**(-3\/2))\/v))**(5\/4)\/((v*v\/v**(2\/11)*v)**(-27))**(4\/5) assuming v is positive.\nAnswer: v**(21559\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*y - 104*y + 13*y + 4 as r*y + f and give r.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23668862.\nAnswer: 2, 7, 17, 14207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12663000 rounded to the nearest 10000?\nAnswer: 12660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 5886062?\nAnswer: 5886062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 15, -z + 6 = 3*u - 3. Suppose 0*o + 2*o = u. Differentiate b - o + 1 + 3 - 1 with respect to b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3653964 and 8964?\nAnswer: 303279012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 + -128.7. Let l = 36.300518 - y. Round l to five dps.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mafdmmfmamdapaxaa. Give prob of sequence fdda.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 102*b**2 + b. Let h be a(1). Let f = h - 68. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -167, -346, -525, -698, -859, -1002, -1121?\n\"Answer: q**3 - 6*q**2 - 168*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 9 - (-6 - -2) - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 8*d + 10. Let w be y(7). Suppose -w*b + 5 + 25 = 0. Calculate the remainder when 28 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:39 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*h - 280 + 236*h - 116*h.\nAnswer: -2*h - 280","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455276 is divided by 3449.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1440 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(7\/(-42))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 3*m + 179*m**2 + 9*m.\nAnswer: 179*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 435144 - 113093. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006064 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/10*85*1\/238*7\/(-18).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11108 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -201*y + 392*y - 193*y. Let l(z) = -753*z. What is w(l(t))?\nAnswer: 1506*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-71)\/(-1562)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i - 2707. Let z(k) = -40*k - 1. Give n(z(b)).\nAnswer: 240*b - 2701","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35341 - -52716. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2361 = -14*y + 15*y. Is y 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 -18\/7 and 33\/6496?\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a factor of 19828800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 78255.\nAnswer: 313020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + j + 3*p = -5*j + 40, -2*j - 5*j + 13 = -8*p - 43 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 11*t - 9. Let z be n(-9). Solve 0 = -7*j + z*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -84*q - 8018. Determine l(-95).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2 + 11*a + 5. Let p(h) = 5*h**2 - 12*h - 6. Let q(n) = 6*j(n) + 5*p(n). Let u be q(-7). Suppose -u = -4*r + 1. Solve -f = r*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1992 + 2028.44. Round l to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 20680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.93 - -0.07. Let r = y - 2. Let x = -1.00064 + r. Round x to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-91)\/(-637))\/(4\/70))\/(390\/5304)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - (30 - 21) - -6) + (-5 - -12).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5889, -23588, -53095, -94416, -147557, -212524, -289323, -377960?\nAnswer: -478441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 9:36 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 + 171 + 169*k - 83 + 129 - 168*k.\nAnswer: k + 351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -220?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108960915 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001825 to 6 dps.\nAnswer: 0.000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1127, -1136, -1155, -1190, -1247, -1332?\nAnswer: -1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, v: 2, i: 1, q: 2, x: 1, n: 1}. What is prob of picking 2 v, 1 i, and 1 x?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1743*x + 2*n = 1748*x + 124, 8*n + 128 = -4*x for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -34 - 12 - -26?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471 + 1886 - 461 - 25*q - 482 + 7*q - 472.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/(-12) + 11)\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/661320 and -49\/587840.\nAnswer: 5290560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 - 2.4. Which is the second smallest value? (a) -0.2 (b) t (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -1.06788?\nAnswer: 0.640728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 196\/245 - (-69)\/(-30). Let f = 11 - 11.4. What is the nearest to -0.1 in f, s, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = 2*d. Let w be 1 - (d + 1 - 2). Solve -4 = w*q - q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b = 3*q + 685 - 694, -q + 3 = 55*b - 60*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -10*w - 36. Let u be j(-4). Let i(y) be the second derivative of 0*y**3 + y - 1\/5*y**5 + 3\/2*y**2 + 0 + 0*y**u. Differentiate i(v) wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w\/w**(-3\/4))\/w*w*w)*w\/(w*w**2*w))**(-31)\/(w**(-5)\/w**(2\/5)*(w*w**(2\/3))\/(w\/(w\/(w**(2\/15)*w)))) assuming w is positive.\nAnswer: w**(10987\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 50*x**2 - 66*x - 7. Let v(d) = 7*d**2 - d - 1. Let i(y) = 5*m(y) - 35*v(y). Factor i(a).\nAnswer: 5*a*(a - 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1823 or 30179?\nAnswer: -1823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-3))\/((-6)\/(-4)). Let y be (-1 + (0 - -2))*n. What is the second derivative of z**3 + 7 - 7 - y*z wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 0.4, 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 1\/7 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven quarters of a minute?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0*r + 147. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**4 - 2*g**3 + 1680*g**2 - 19*g - 306?\nAnswer: 24*g**2 - 12*g + 3360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.278 - -0.078. Which is the third biggest value? (a) -2 (b) x (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 - 12*o**2 + 18*o + 88.\nAnswer: (o - 22)*(o - 4)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 - -0.066259.\nAnswer: 0.056259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48389 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-183)*116\/928.\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o = -36. Suppose 5*b = -3*n + 3 + 16, 0 = b - 2*n - 9. Calculate the remainder when o is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*a - 113, -4*y - a + 189 = -314. Does 25 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -13*m**3\/3 + 5. Let z(t) = -t**2. What is w(z(j))?\nAnswer: -13*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/200 and 64\/694525.\nAnswer: 5556200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + (sqrt(1377) - (sqrt(1377) + -2) - sqrt(1377) - sqrt(1377)) + 1 - (sqrt(1377) + -2 + 1*sqrt(1377) + (sqrt(1377) + 1)*2)) + -1)**2.\nAnswer: 216*sqrt(17) + 198289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 24. Suppose -x*r - r = 0. Is 2\/3 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9073805?\nAnswer: 5, 13, 139597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -2730?\nAnswer: 2730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 16) + (2 + -17 - -4) + 19.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127670?\nAnswer: 2, 5, 17, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15902 = -2917*w + 104818 + 30681 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23666 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 833?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*b + 49 = -2*z, 0 = -2*z + 3*b + 3. Let w = z + 19. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 8*p + 9. Let q be 6\/(4\/(-6)*1). Let i be s(q). Suppose i + 2 = h. Solve h*g - 2 = g, 8 = -5*v - g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129 + 61. Let y = o - -70. Solve y*u = 2*q + 2, u + 4*q + 4 = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 w when four letters picked without replacement from {u: 7, w: 12}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + 11 + -7 + 6 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1123123032 (base 5) to base 3.\nAnswer: 11210122012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -26*r - 247. Let h be f(-11). Calculate the greatest common divisor of h and 2496.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5 + 77*q**4 - 1558*q**3 + 222*q**2 + 171927*q - 170667 = 0.\nAnswer: -9, 1, 21, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 5. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 minutes after 1:02 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*b = -31*b + 11*b - 1269. Solve -175 = b*w - 67 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13627644 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -82, -58, -18, 44?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 62\/15 + 7*28\/(-1470)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(15\/6) - -217. Let i = -774 + 778. Find the second derivative of 0 - 9*x + o*x**4 - 224*x**i + 0 wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 + 234*z - 369. Give d(-60).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1100) + -1*sqrt(176).\nAnswer: -2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 5920597288.\nAnswer: 5920597287.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 17. Let r be -1 - 0 - ((-1)\/1 - 36). Suppose -r = -4*a + 44. Calculate the lowest common multiple of w and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 48 = -2*c - 3*p, -5*c - 3*p = 7. Put -5, 1, 3, 0, c in decreasing order.\nAnswer: 3, 1, 0, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 times 601?\nAnswer: 256026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -425596, -3404773, -11491114, -27238201, -53199616, -91928941, -145979758?\nAnswer: -217905649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 9. Let n = s - -18. Let t be (-495)\/6*n\/(-12). What is the greatest common factor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001438868186 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-1512))\/((-13)\/(-21))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 403 + 1948. Let a = w - 278. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*h**3*t**3 + 13*a*h**3 + a*h**2*t + 3*a*h*t - 21517*a*t**2 - 3*a*t - 38*h**3 wrt t?\nAnswer: 12*a*h**3*t - 43034*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 8*v**2 + 11*v + 7. Let h be b(9). Suppose 6*l - h = l. Suppose -l*z + 2*a + a + 670 = 0, -2*z - 2*a = -268. List the prime factors of z.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/((6\/12)\/((-2)\/(-4))). Suppose -k*z = 3*b - 2*z - 59, -b + 4*z + 29 = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 929423 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(7) + -1)*-4)*-5*6)**2.\nAnswer: -64800*sqrt(7) + 173700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -388863 + 388882. Let v be 2\/3 + 1708\/3. Calculate the greatest common factor of b and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.57778 to one decimal place.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r**4 + 2*r**2 + 0*r**5 - r**5 + 5*r**4 + 2 + 2*r**5 - 2 + (r + 2*r**4 - r)*(0*r - 4*r + 2*r).\nAnswer: -3*r**5 - r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 717 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*j - 4 = 0, -4*j + 1 = -u - 9*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 3*f + 3*f + (3 + 2 - 3)*(-5 + 2*f + 5) - 22*f + 10*f + 2*f + 0*f - 2*f + 4*f to t + z*f and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 13 = -3*d. Suppose -13 = -6*h + d. Suppose c = -h*c + 40. Solve -5*v = -j - c, -4*j - 2*v - 17 = -7*v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 24 - 28 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139106 - -139030.919. Let j = 75 + f. What is j rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbhbhbb. Give prob of sequence bb.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aapppapppppppppppp. What is prob of picking 2 a?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, q: 1}. Give prob of picking 3 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i - 5*u + 35 = 0, 3*i + u = 17. Let v be -11*2\/(-22) + 12. Solve 2*h + v = i*h + 4*a, 5*a + 7 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*x*z**3 + 4*x*z + 82*x - z wrt z.\nAnswer: -6*x*z**2 + 4*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1608 and 19\/534?\nAnswer: 143112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538 - v**3 + 23*v**3 + 1071 - 533.\nAnswer: 22*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -357.925 and -2.1.\nAnswer: 751.6425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -53*o + 60*o + 4*u, -o - 5*u - 71 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 213*h + 29*h + 25457026 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2493, -5260, -9945, -16554, -25093?\nAnswer: -35568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44, 113, 214, 365, 584?\n\"Answer: 3*a**3 - 2*a**2 + 54*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 15*u**5 - 213535*u**4 - 499935*u**3 + 22857915*u**2 - 84363400*u + 46273500 = 0?\nAnswer: -13, 2\/3, 5, 14238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2556 divided by 3?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 18, 13 in increasing order.\nAnswer: 4, 13, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9927 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 14) to base 7\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/3 + (-5)\/5. Suppose -2*n = -d*n + 36. Solve m + 2*m + n = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + (-4000)\/350)\/(36\/(-98)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/5 - 3\/5. Let p = -433.1 + 433. What is the third smallest value in u, 8, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 minus -6387380821058?\nAnswer: 6387380821025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**4\/((i\/i**(2\/9))\/i)*(i*i*i**(2\/7)*i)\/i**(2\/19) assuming i is positive.\nAnswer: i**(8861\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164 by 4.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 + 5*p + 1. Let z(r) = r**3 - 8*r + 50. What is -2*k(h) - z(h)?\nAnswer: 3*h**3 - 2*h - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 18\/49, 2\/3, 0.3 in descending order.\nAnswer: 48, 2\/3, 18\/49, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**5 + 19115*x**4 + 1252585*x**3 - 21315635*x**2 - 1252590*x + 21296520 = 0?\nAnswer: -3756, -81, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001830304 to 7 dps.\nAnswer: -0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 - 5*v - 2. Let q be n(-4). Let t = q - -235\/8. Let l = -8141 - -81489\/10. Calculate the common denominator of l and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2 + u. Let t be y(1). What is the second derivative of -t*i + 99 + 8*i**3 - 99 wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*t - 3*t + 5*t)*(-4*t + 0*t + 6*t) - 149*t**2 - 100*t**2 + 39*t**2)*(-t**3 + 2*t**3 - 3*t**3).\nAnswer: 424*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventy-three fifths of a microsecond?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 11364 = -m - 5*s - 11344, 5*m = -2*s + 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -f, 3*b + 11*f + 3*f + 2*f + 2*f = -60 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/2, 1, 386, 0.3.\nAnswer: -1\/2, -1\/4, 0.3, 1, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -274 - -297. Which is the second biggest value? (a) -4 (b) -1 (c) o (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssslsislllsi. What is prob of picking 1 s and 1 i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 909507022949 plus -0.23?\nAnswer: 909507022948.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 + -204. What is the remainder when 24 is divided by 18\/81 + c\/(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 43. Solve 0 = 4*a - 15 - k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1954*l*n - 72*n wrt l.\nAnswer: 1954*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0 + 8, -5*o + 78 = 4*h. Let x = 682 + -454. Let a = x + -198. What is the least common multiple of a and o?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/880 and 32\/605.\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 77, 1859.\nAnswer: -3, 77, 1859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 126.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3540 + -53?\nAnswer: 3443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 24 = -1. Suppose 3 + 12 = q*b. Suppose b*t + t - 72 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 114*l - 1 - 3 + 4.\nAnswer: 114*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 14944050 to the nearest ten thousand.\nAnswer: 14940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.84 + -0.84. Let j = 0.5 + -3.5. What is the second smallest value in p, j, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 2313821907?\nAnswer: 2313821921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -8. What is the derivative of -3 - m**2 + 2*m**2 + u*m**2 + 0*m**2 wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -237, -481, -735, -999, -1273, -1557?\n\"Answer: -5*t**2 - 229*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1021112 (base 3) to base 15\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5767 + 11807. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 557, 1184, 1811, 2438, 3065?\n\"Answer: 627*o - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194701 is divided by 385?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c - 8. Let n be i(-6). Let a = 13 - n. Is -3 + (a - -2) - -28 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -12*w + 2. Let d = 20\/143 + 6\/143. Which is the second biggest value? (a) d (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 1\/(1\/6). What is the lowest common multiple of (o\/(-5))\/((-2)\/(-5)) and (3 - -2 - 1)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*d - 36, -2*f + 5*d + 19 = -22. Suppose 2*p + 12 = f*p. Which is the closest to 3? (a) p (b) 3\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/9396 and -115\/9396.\nAnswer: 9396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/101, -1\/2, -2, -0.14 in decreasing order.\nAnswer: 2\/101, -0.14, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + 6*v**2 + 4*v + 10. Determine j(-5).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1915 or 0?\nAnswer: 1\/1915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -1216625961?\nAnswer: -1216625960.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 2*p - 10. Let l be s(0). Let j be (-4741)\/220 + 2\/l. Let o = -395\/12 - j. What is the common denominator of 65\/2 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, z: 4}. Give prob of sequence zu.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)*2)\/sqrt(9))\/(sqrt(5) + (-2*sqrt(80) + sqrt(5) - sqrt(5))).\nAnswer: -2*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5\/4, 1, 0.3, 0.2 in ascending order.\nAnswer: -19, 0.2, 0.3, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 272401.2 weeks in microseconds?\nAnswer: 164748245760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*l + 14. Suppose f - 2*f - 179 = -l*i, 0 = -2*i - f + 91. Calculate the highest common factor of 18 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (220\/(-550))\/(-2) - (-638)\/10.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 151 + -50 + -61\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 1. Suppose -g*f = 2*p - 10412, 5*p + 5*f = 15511 + 10504. What is p rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(605) + 1)*-6)**2 + (sqrt(45)*6 + sqrt(5))**2 + 4)*2.\nAnswer: 1584*sqrt(5) + 47250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 11*h - 62. Let t be g(6). Let x(p) be the first derivative of 2\/5*p**5 + 0*p + 0*p**3 - 2 + 0*p**2 + 0*p**t. Factor x(c).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 65\/(-60) + (-3 - (-30)\/9). Let t = 0.09 - -3.91. Which is the closest to f? (a) t (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 25*a**2 + 38*a + 4. Calculate u(-27).\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*m**3*u**2 - 37*m**3*u*z**2 - 3*m**2*u**2*z - 7*m**2*u**2 + 3*m*u*z + m*z**2 wrt m.\nAnswer: 696*u**2 - 222*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 28*b - 91. Let l be p(4). Solve 3*u + 3*c = l, -u + 2*c - 3 = -2*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(931)*1 + sqrt(931)) + sqrt(171)*1 + 0)**2.\nAnswer: 28899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6372\/35 + 896\/5. What is the nearest to u in -1\/5, -151, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257201011?\nAnswer: 79, 89, 157, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*y = 24094 + 1722, 2*u + 5*y - 12899 = 0. What are the prime factors of u?\nAnswer: 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283052039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*g*m**4 - 17*g*m - 57*g - 3 wrt m.\nAnswer: -44*g*m**3 - 17*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 + 23401?\nAnswer: 23233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1286, -2\/15, 2, -0.13, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k - 3*k + 11*k = -33 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31062, 62075, 93098, 124137, 155198, 186287, 217410?\n\"Answer: q**3 - q**2 + 31009*q + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 679\/873 - (1\/(-2))\/(26\/(-156))?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.7 - -0.3. Let d = -44 - -47. Which is the second smallest value? (a) d (b) z (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4 (b) -2 (c) -0.1 (d) 544320\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 bigger than 518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -227?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 15. What are the prime factors of i + 114\/24 - 450\/(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqtbqfm. What is prob of picking 1 b, 1 p, 1 t, and 1 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 12. Suppose -j*v = -7*v. Solve 4*u + 4*d + 8 = v, 10 = u - 4*d - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szns when four letters picked without replacement from kzkzkkkknnszzzszzzz.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - 1. Let o = b - -7.4. Let v = -1 - -0.9. What is the closest to -1\/3 in -2\/11, o, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175436 + 57980 - 42509 + 4*u - 3*u.\nAnswer: u - 159965","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 16*w**2 + 78*w - 15. Give s(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 4*c - 273. List the prime factors of c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -582, -579, -574, -567, -558, -547, -534?\n\"Answer: m**2 - 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -0.316\nAnswer: 0.01264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (11 + 735\/(-56))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -449, -1.\nAnswer: -449, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 3) + (-77 - -85)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*c**2*f**2*v - 54*c**2 - 16*c*f*v + 222*f**2*v + 5563*v wrt f?\nAnswer: 56*c**2*f*v - 16*c*v + 444*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfnhwwwcwchniic. What is prob of sequence nf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -2\/27*o**3 + 2 + 0*o - 2\/45*o**5 + 1\/9*o**4 + 0*o**2. Suppose x(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -188*c**3 - 18*c**2 + 21*c - 5. Determine o(1).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -61*q**4\/24 - 497*q**3\/6 + q**2 + 88*q + 21. Determine j(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-94))\/((-23)\/(-23))*-18. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 462169420*g + 430992519 wrt g.\nAnswer: 462169420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.18 - 0.51. Let l = 0.03 + o. Which is the closest to -0.1? (a) l (b) -1\/2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1869, -1856, -1837, -1812?\n\"Answer: 3*u**2 + 4*u - 1876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3065 - -1873545.898.\nAnswer: 1876610.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*d + 141*d + 141*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -3) + -1 + (2 - 9) + 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**2\/2 - 1. Let h(t) = t**3 + 4*t**2 + 3*t + 1. Let a be h(-2). Suppose a*w = -3*r + 12, -12 = -r - 0*r - 5*w. Give b(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.46642941 to 2 dps.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/3 or 1558735?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 + 2*i**2 - 2. What is f(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110.1 * 5.\nAnswer: 550.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -22714376?\nAnswer: 5\/5678594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 3*a**3 - 13875*a**4 + 26622*a**4 - 13885*a**4 + 2*a**2 to n*a + m*a**2 + v*a**3 + g*a**4 + b and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 6*c + 72 = 4*c + 28, -4*k - 10*c + 201 - 267 = -7*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3*t, 0*t - t = 2*p - 9. Let o(b) = 1 + p + 4*b - 2*b. Let u be o(4). Solve -y - 3*y = u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1117*m + 1350*m + 359400 = 3243*m + 1782*m for m.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2635*c**3*i**3 - 51*c**3 + 33633*i**3 - 2*i**2 wrt c.\nAnswer: 7905*c**2*i**3 - 153*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h. Let k(n) = 8. Let z(v) = -v - 6. Let y(g) = -6*k(g) - 8*z(g). Determine y(p(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/((-9675)\/86))\/((-2)\/72)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4 = 5*j - 12, 5*j - 3 = 2*b. Suppose 0 = -p - a + 16, 3*a - j = 5*p - 97. Calculate the least common multiple of (-8)\/(-12)*27\/1 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, t: 3, b: 9, d: 4, e: 1}. What is prob of sequence ttt?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2497 by 52.\nAnswer: 2497\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 84732251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 - -51. Let u = d - 23. Let p be (u\/7)\/(3\/21). What is p rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p**2 + 7*p**2 - 6*p**2 + 3*p**2.\nAnswer: 29*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w**2 + 6*w - 6. Suppose 164 - 149 = 3*o. Let v(a) = -8*a**2 + 5*a - 5. Determine o*c(z) - 6*v(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*w - 2 = -10, -3*w - 2 = -n. What is the nearest to 0 in 0.5, n, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0795716 to three decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 16 = 58. Put 0.4, -0.1, -35, y in decreasing order.\nAnswer: y, 0.4, -0.1, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44331 - -4635?\nAnswer: -36363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -1\/1522463?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242 or 0.788?\nAnswer: 0.788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + y**4 - 2)*((-3 + 1 + 3)*(y - 2 + 2) + 2*y + 3*y - 2*y + 3*y + 0*y - 2*y + 0*y + 5*y - 3*y + 0 + 0 - 2*y).\nAnswer: 5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 910409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -124 + 256. Suppose x = 5*x - b. Let u = -19 + x. What is the remainder when u is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/110068 and 81\/62.\nAnswer: 3412108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1 = -21. Let m(b) be the first derivative of 2*b**3\/3 + 3*b**2 - 1. List the prime factors of m(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -1) + 6 + (-4)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8964541 millilitres in litres?\nAnswer: 0.0008964541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5498*r**3 - 129*r - 2749*r**3 - 2747*r**3)*(-20 - 12 + 2)*(2 - 4 + 3).\nAnswer: -60*r**3 + 3870*r - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2752 and 67\/44?\nAnswer: 30272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5341 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2 - 1128*z + 23247 = 0. What is z?\nAnswer: 21, 1107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/6 in -0.1207, -3, -1, -0.2, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w - 867. Let b(r) = -6*r + 865. What is -5*b(m) - 4*o(m)?\nAnswer: -2*m - 857","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.32? (a) 5 (b) -54\/11 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3139.22*-0.1.\nAnswer: -313.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2486 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 48 = -m. Let o = 4 - 2. Suppose 5*y + 4*c - 18 = 0, o*c + m - 6 = 2*y. Calculate the remainder when 9 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 38*v - 347. Let c be x(23). Let p be 0 - (0 + c + 2). Solve p = -3*l - l + 5*z - 20, -l = 5*z - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 8) to base 2\nAnswer: -1010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9981 - -21073. Let z = p - 5092. What is z rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.371 + 0.1909?\nAnswer: -214.1801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (7 + -14 - 11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n*x**2 + 269*n*x - 2*n + 403*x**2 wrt x?\nAnswer: 8*n + 806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + g**2 + g + 2. Let x be b(0). Suppose 13*t = 174 - 31. Suppose 5*a - 21 + t = 0. Solve a*o - o = -x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24738775 is divided by 271?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(32\/(-3))*2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48551189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -9. Suppose c + 216 = 4*k, c - 108 = -y*k + 6*c. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -381, -2\/13, -0.1, 1?\nAnswer: -381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -2, -39, 2, -179 in increasing order.\nAnswer: -179, -39, -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 2*y**2 - y**2 + 3*y**2 - 2*y**2 - 2*y**2 + (3*y**2 + y**2 - 2*y**2)*(4 - 3 - 3))*(-435*y**2 - 333*y**2 + 710*y**2 - 338*y**2).\nAnswer: 1188*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**2 + r - 2. Let u be d(2). Suppose g + g = u. Let z = g + -8. Which is smaller: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 5*s**2 - 6*s + 2. Let p be u(6). Suppose -3*h + 8 = -p*h. Let m = 16 - h. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*g + g - 11, -2*n + 5 = -g. Calculate the remainder when 29 is divided by (n\/2)\/(1\/20).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133797?\nAnswer: 7, 161971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 131981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.09 (b) 2\/3 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280557 is divided by 7873?\nAnswer: 5002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49750 is divided by 166?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 10:29 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k + k. Suppose k = 12*c - c - 8767. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**5 + 588*x**4 + 44360*x**3 + 165300*x**2 - 210250*x = 0.\nAnswer: -145, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4089026 tonnes?\nAnswer: 408902.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 3 (c) -1\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(385)\/sqrt(28) + sqrt(55)*-2*4)*-3)\/((-2*sqrt(110)*2 + sqrt(110) - sqrt(110))\/(sqrt(90)*2)))**2.\nAnswer: 91125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 3473530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -126, -166, -222, -294, -382?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 3)*(-3*z + 5*z + 0*z)*(-4*z**2 + z**2 + 4*z**2) - 2*z**3 + 3*z**3 + z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) -5 (b) -0.5 (c) -0.4 (d) 9.54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 11) to base 8\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-2)\/2 + (104 - -1). Suppose 0 = -0*v + 3*v - i. Calculate the remainder when 65 is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + 3. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34135115 - 2?\nAnswer: 34135113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.735 take away 4?\nAnswer: -3.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-3) + 17\/(-6). What is the nearest to -0.04 in -0.3, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/5 - 4\/10. Let r be (f\/(-10))\/(16\/20). Let w = 0.937 - -0.063. What is the closest to 0.1 in -2, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6825955?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**7\/105 + r**4\/24 - r**2\/2 + 4. Let b(v) be the second derivative of p(v). What is the second derivative of b(i) wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-8)\/(b\/(b**(-2\/69)*b))*(b*b**(-8\/3))**(3\/28) assuming b is positive.\nAnswer: b**(-15857\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 9610183.\nAnswer: 48050915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29883065.2 rounded to the nearest one hundred thousand?\nAnswer: 29900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 28 = -4*g, f = -3*f - 4*g + 32. Let c be ((-6)\/2)\/((-2)\/(-4)). Let v = c + f. Is v greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -6*s + 2, 39 = -3*n + 3*s. Let k = n - 98. Does 7 divide (-11682)\/k - 2\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c - 5. Let r be j(-5). Let m = 6 - r. Let x(z) = 2*z**2 + 5*z + 4. Let u be x(m). Solve -3*w - w = u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 times -15\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5747 or 1?\nAnswer: 2\/5747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 15*q**2 + 2*q - 17. Give t(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 89525084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -318346 + -0.035894814\nAnswer: -318346.035894814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -387 + 2?\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 4356155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 262 + -136. Suppose j = s + 5*s. 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 k(c) = 2 + c + 3 - 2. Let j be k(6). Let u = 391 + -388. Solve 0 = 3*x - j - u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*p = -0*p - 6604, -5*k + 6613 = 6*p. Let r = k + -576. List the prime factors of r.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 469, 1465, 3123, 5443?\n\"Answer: 331*n**2 + 3*n + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2589 and 6955 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2*g + 8. Let d(y) = y**2 - y + 1. Let j(h) = 3596*h + 3599*h + 24*h**2 - 7217*h + 22. Calculate g*j(q) - 44*d(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8)*(-4 - -3). Let k(b) be the first derivative of 0*b - v*b**4 + 0*b**2 + 1\/3*b**3 + 1. Find the third derivative of k(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2315 + 2354. Calculate the lowest common multiple of j and 81.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (680\/(-17))\/2*1\/2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*b + 28, 3*b - b - l - 9 = 0. What are the prime factors of (-1)\/(3*b\/(-1026))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25414636.\nAnswer: 2, 13, 488743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 11*v - 9. Let r be o(-12). Suppose -26 = -r*u + 58. Calculate the greatest common factor of 8 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**3 + 2*y**2 + 2*y + 5*y**4 - 3*y**4 - y**2 - 3*y to the form i*y + a + h*y**3 + b*y**4 + v*y**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 19 - 9 = 0. Suppose 0 = -4*i - 2*z + 402, -r*i + 8*z - 12*z + 186 = 0. Calculate the remainder when i is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 493035 by 493035.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*l + 142 = -826 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a - 828779 = -828219 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -99 * -36\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36701248001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/10 + (-4)\/10. Let w(n) = -2*n**2 - n + 2. Let k be w(-2). Which is the nearest to 2\/5? (a) 0.1 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 3. Let n(x) = -2*x - 4. Suppose -4*s - 8 = -20. What is s*n(l) + 4*q(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + (-4 + (0 + sqrt(832) - sqrt(832)))*2)**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*x**2 - 1054*x - 2683?\nAnswer: 4*x - 1054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u + 53*u - 65 = 30*u - 3*x, 172*x - 2987 = 5*u + 43*x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -148*g**2 + g**3 + 71*g**2 + 36*g + 16*g + 60*g**2 + 4. Let s be d(13). Suppose 0*u + 4 = 2*u. Solve s = -u*n - 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 35 + 5 = -2*d, d - g = 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 401406*j**3 + 79*j**2 + 4*j + 120 wrt j?\nAnswer: 2408436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*w**5 - 11*c**3*w**2 - 2*c**3*w + 3*c*w**2 - 35*c*w wrt w?\nAnswer: 40*c**3*w**3 - 22*c**3 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1679 is divided by 99?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 - g + 8. Let m(s) = 201*s**3 + 4*s**2 + 3*s - 17. Give -m(v) - 2*x(v).\nAnswer: -201*v**3 + 2*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000885 divided by 400177?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 0*t - 5*t + 5 + 7*t. Calculate i(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 + 15*h - 20. Let s(d) = -3*d**2 - 7*d + 10. Let w(b) = -2*j(b) - 5*s(b). Suppose w(p) = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**4\/16 + 3*o**3\/8 + 3*o**2\/4 + 8*o + 4. Solve x(j) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttvu when four letters picked without replacement from {t: 4, u: 4, v: 1, i: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -5) + -1 + (-7 - 2 - 78)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -42*t + 12. Let g be r(-2). Let w = g - 97. Which is the second biggest value? (a) 1 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96402086?\nAnswer: 2, 11, 19, 167, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*-1*(sqrt(190)*3 + sqrt(190)))\/(sqrt(40)\/sqrt(4)*-3 + sqrt(810) + -1*sqrt(810)))**2.\nAnswer: 190000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -185*p**3 + 95*p**3 - p**2 - 21*p + 91*p**3. Let k be l(-4). Solve -z - 2 = -r, 3*z = k*r + z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2005520 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2. Let s(i) = -6*i**2 - 2*i - 11. Calculate s(j(g)).\nAnswer: -54*g**4 + 6*g**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1. Let n(l) = -422*l**3 - 10. Calculate -n(i) + 10*s(i).\nAnswer: 422*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(-9660*w + 4902*w + 4940*w + 6).\nAnswer: -546*w - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164859 is divided by 7538.\nAnswer: 6561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from {p: 1, c: 1, t: 1, k: 1, e: 1, g: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -24*y + 184 - 151, -y + 2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22987 divided by 127?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12.0869 and -1503?\nAnswer: 1490.9131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (0 - 398\/2). Let p be -4 - (-3246)\/10 - 4\/(-10). Let x = p + u. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 52, 4163 in decreasing order.\nAnswer: 4163, 52, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 1*sqrt(68)*1)\/(sqrt(44)\/sqrt(44)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/49 <= -12\/2086351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1355\/7 - 193. Let z = 1.5 - 1. Let x = 7 + -6.6. Which is the nearest to -1\/4? (a) x (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 585, -3, 4, -1, 234, 2 in increasing order.\nAnswer: -3, -1, 1, 2, 4, 234, 585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**3 + 20*q**2 - 6*q + 9. Let y be p(-7). Suppose -5*d = 4*o - 413 - 782, 3*o = y*d - 478. Suppose d = 2*k - 207. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43509 at most -826672\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 124650.\nAnswer: 1620450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j - 67. Let i be a(-7). Suppose 4*s - 3*t - t = 0, -2*s - t = -12. Solve -i*w - 1 = -s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 25 = 4*j - 5*i, 0 = 4*j - 3*i - 23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 0*a**2 + 0 + 6*a - 1\/3*a**3 + 1\/2*a**4. Find the second derivative of b(l) wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**8\/112 - d**4\/3 + 5*d**2 - 6*d. Let w(m) be the first derivative of a(m). Find the second derivative of w(y) wrt y.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1029908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 244*n**2. Let s(z) = -2*z**2 - 242*z. Give s(u(g)).\nAnswer: -119072*g**4 - 59048*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.9 - 1.9. Put 2, u, -2 in descending order.\nAnswer: u, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2411 - 3?\nAnswer: 2409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61.1 or -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 519\/4 and 129 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttol when four letters picked without replacement from totttttttltottl?\nAnswer: 11\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.99459*-88.\nAnswer: 87.52392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 1784*p**3\/3 - 132*p**2 + 2*p - 8836. What is the second derivative of h(y) wrt y?\nAnswer: 3568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 5*p = 4*w + 73, -5*p + 23 = 4*w. Suppose 4*m + w = 7*m. What is the second smallest value in -3, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/19)\/(15\/10 + 0). Suppose -2*t = -2*m + 5*m - 2, 4*t + 6 = -m. Which is the smallest value? (a) 3 (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574*s + 596*s = 90*s - 901 - 5579 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 159454153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s. Let m = 13708 - 13710. Let v(r) = -r**2. Suppose -5*a + 7 = 2. Let h(g) = -g**2. Let l(c) = a*h(c) + m*v(c). Give l(j(o)).\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, n: 4, v: 2, r: 1, s: 3}. Give prob of picking 1 n, 1 v, and 1 a.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 46. Suppose -4*r = -k*l - 23767, -4*r + l = 2141 - 25906. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)*-3*5.\nAnswer: -45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3620 * 32.14\nAnswer: 116346.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 13*y - 31. Let u be k(-4). Suppose -7*o + 3*o + 12 = u*d, -2*o + 5*d = -36. Calculate the greatest common divisor of o and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 324*j**2 - 8580*j.\nAnswer: 3*j*(j - 130)*(j + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 3*h**2 + 2*h. Let q be a(2). What is the units digit of (0 - -15) + q + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-28))\/((-1304)\/1141).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57.7 - 55. Let g = 0.7 - v. Which is the nearest to 1? (a) -0.3 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - v**3 + 9*v - 2 + 8*v - 18*v.\nAnswer: -v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**4\/8 - g**3\/6 + 4*g**2. Let i be s(-1). Factor -b**2 - 3*b**3 + i*b**4 + 3*b - 3*b**4 + 2 - 4*b**3 + 4*b**3.\nAnswer: -(b - 1)*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 9*t**2 - 5 + (-3*t**2 + t**2 - t**2)*(2 - 7 + 4) + 3*t - 3*t - 2*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 584 - 234. Let r = y - 350.0393. What is r rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/21 (b) -41.26 (c) 2 (d) 0.4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r + 14. What is the smallest common multiple of j(5) and 26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-3)*290\/1450*(-50)\/84*-2\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -45) + -22 + 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*s - 678 - 1234 + 326 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 0*p**7 + 0 - 8\/15*p**5 + 17\/120*p**6 - 8*p**2 + 1\/336*p**8 + 0*p**4 + 0*p**3 + 0*p. Find the third derivative of y(b) wrt b.\nAnswer: 60*b**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -6)*(1 - 2 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9*d**2 + 5*d + 7. Suppose 2*c + 12 = 6*c. Let j be ((-10 - 0) + c)*-1. Let m(f) = -13*f**2 - 7*f - 10. Give j*z(q) + 5*m(q).\nAnswer: -2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/843674 and 29\/481.\nAnswer: 843674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(8\/6))\/(32\/64))\/((-6)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.16 - -0.14. Sort 0.5, -0.04, b in decreasing order.\nAnswer: 0.5, b, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7442 is divided by 408?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v**4 - 714*v**3 - 14613*v**2 - 17316*v + 18252 = 0. Calculate v.\nAnswer: -39, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -b - 60. Suppose 2 = 4*t - b. Let n be (-8 + 4)*(-2)\/12*12. Solve -n*l = -t*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2)\/g)**(-44)*(g**(4\/7)*g)**(11\/6))**(-10\/3) assuming g is positive.\nAnswer: g**(-14465\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 3*r - r + 0*r + 0*r + r + r - r - r + (6 - 3 - 1)*(3*r - 3*r - 2*r))*(-3 + 2 - 2)*(0*r + r - 4*r) - 4*r**2 + 3*r - 3*r.\nAnswer: -49*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1. Let l(z) be the third derivative of -9*z**5\/5 + z**4\/2 - 13*z**3\/6 + 34*z**2. Let a(p) = -l(p) + 6*v(p). Is a(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13954, 2\/9, -204, -5 in decreasing order.\nAnswer: 2\/9, -5, -204, -13954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 333 + -1000\/3. What is the nearest to 0.6 in 1, m, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((945\/(-10))\/9)\/(95\/950).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2 = d, 0*u = -4*d + 5*u - 19. Suppose 3*s - 6*s = 15. Let h = s - d. What is the least common multiple of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 18*t + 105 = 0. Let r be ((-222)\/(-4) + 1)*2. Suppose -833 = -t*b + 2*i - r, 2*b + 3*i - 269 = 0. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 7\/60*u**5 + 0 + 0*u + 16*u**2 + 5\/3*u**3 - 1\/8*u**4. Let h be i(3). What is the greatest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24805 - -30568. Calculate the highest common divisor of r and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 222, 196, 48, -4, 1, 3 in descending order.\nAnswer: 222, 196, 48, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/1 + (91 - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 697\/5 + -139. Let f(b) be the first derivative of 0*b**2 - 2\/3*b**3 + b**4 + 3 - w*b**5 + 0*b. Factor f(g).\nAnswer: -2*g**2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 4 + 4 + -6. Differentiate -3 - 39*v**2 + 41*v**2 - j with respect to v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0 (b) 1.4 (c) 2\/17 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**4 + m**3 + m**2 + m. Let f(z) = 18*z**4 - 5*z**3 - 13*z**2 - 5*z. Let d(t) = -2*f(t) - 10*r(t). What is the third derivative of d(g) wrt g?\nAnswer: -624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - s = 19 + 21, 0 = -5*b - 2*s - 40. Let f(d) = d**3 + 7*d**2 - 7*d + 10. Give f(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049388.\nAnswer: 2, 3, 157, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1901431 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8291156.\nAnswer: 2, 2072789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147 - 142. Let g(t) = 5*t - 5. Let k(p) be the third derivative of -p**4\/6 + 2*p**3\/3 - p**2. Determine c*g(j) + 6*k(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 2. Let d be b(6). Let i = 5 - d. Suppose -4*f - 3*k = 4, -f = -4*f - 5*k - 3. Sort i, -5, f in decreasing order.\nAnswer: f, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1490*f**3 - 11925*f**2 + 40*f.\nAnswer: 5*f*(f - 8)*(298*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 + 80. Let y(t) = 2*t**2 - 7*t - 26. Let j be y(n). Let q(h) = h + 6. Determine q(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14549 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 13*h**2 - 19*h + 2. Let a be b(10). Let o = 114 - a. Suppose o*x = -4, -4*c + 759 = -4*x - 3397. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1005471 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2022*p**2 - 65588781*p - 2022*p**2 + 65588781*p - 12*p**3.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*b + 39 = 153*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}