diff --git "a/data/dm_maths/full_data_1/1841_11255.jsonl" "b/data/dm_maths/full_data_1/1841_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1841_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 0 = -3*i, -164068 = c - 5*i - 37068. What is c rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1694454*c**4*o**3 - 5*c*o**3 - 3*c*o + 117*o**3 + 38 wrt c.\nAnswer: 20333448*c**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**3 + 5*r**3 - r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39965\/27 + -1480. Sort -0.1, w, 3\/2, 0.1.\nAnswer: -0.1, 0.1, w, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -6*i + 15. Let n be 30 + 3 + (i - -2). Let k be 0 - (0 + -235 - (20 + -15)). Calculate the greatest common divisor of k and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70434*v*y**3 - 154*v*y**2 + 2*v + y**4 - 369*y wrt y?\nAnswer: 422604*v + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:34 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2600874 bigger than -2600877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**4\/12 - 2*i**3\/3 - 13*i**2\/2 + 14*i. What are the prime factors of x(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.4 and -242 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2491? (a) 3.9 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/7 + -32\/21. Let z = -2862 - -2859.41. Which is greater: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 488466 and 4504742.\nAnswer: 40542678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 16 - 13)*(-4*v - 4*v + 6*v)*(2*v**3 - 2*v**3 - 3*v**4).\nAnswer: -120*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 2*g**4\/3 - 5*g**3\/6 + 54*g - 1. Let t(v) = -4*v**2 + 3*v. Give 11*t(k) + 6*y(k).\nAnswer: 4*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkozzoko. What is prob of picking 1 k and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1575 - -842. Let i be (-2)\/(-4) + (-1994)\/4. Let r = i - w. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 42*c**2 - c. What is the units digit of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggjjrjjjjjjgtjtgjjj. What is prob of picking 1 j, 1 t, and 1 g?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 17*g + 27 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -111000110110010?\nAnswer: 111000110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 359*n**4*q - 2*n**3*q**2 + 2*n**3 - 6*n**2*q**2 + 377*n**2 - n*q**2 wrt n.\nAnswer: 8616*n*q - 12*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -64*c**4\/5 - 832*c**3\/15 - 90*c**2 - 324*c\/5 + 16. Solve w(b) = 0.\nAnswer: -9\/8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + 12*b - 9*b - 2*b + 8*b**3 to the form h*b + g + c*b**2 + w*b**3 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2945507069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -105811003 rounded to the nearest 100000?\nAnswer: -105800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -49098507?\nAnswer: 49098507.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -214404114?\nAnswer: -1072020570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0 + 19 = 2*m, 3*d - 5*m = 26. Is 2818 - (-1 + 3)\/(-9 + d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -18*c + 80. Calculate the highest common divisor of 88 and c.\nAnswer: 8","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 y(c) be the third derivative of 7*c**2 + 11\/6*c**3 + 0*c + 1\/24*c**4 + 0. Let s be y(-8). Solve 4*m + s*o - 9 = 0, -5*m + o - 14 = -10*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 579 + -363. Is (2\/9*-3)\/((-2)\/i) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5395543 weeks in microseconds?\nAnswer: 326322440640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 + -4.4. Which is the smallest value? (a) 0.23 (b) 1\/6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 69460 - 7200 = -5*j, -5*j + 2*u = -76596. Is j a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61945*w - 7 = 5*h + 61948*w, -4*h - 8 = 3*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 10:48 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48430*q**3*w**3 - 429*q**3*w - 29*q*w**2 wrt w?\nAnswer: -290580*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3646980 to the nearest integer?\nAnswer: 1910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 83303899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a + -3da8?\nAnswer: -3d6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -66, -93, -118, -141, -162?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zll when three letters picked without replacement from pzplppllpzmpppm?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 140*b + 201*b = -7238 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27.19 - -21.7068. Let m = 4.41 + 1.09. Let z = n + m. What is z rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 9*j = 0. Solve j = 5*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 172*s**5*x - s**2*x + 2*s**2 + 5*s*x wrt s?\nAnswer: 10320*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78086 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 34 + 1 - (102 + -70)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1715205*t - 3012244*t - 1 + 924996*t - 797546*t. Let i be d(1). What is i rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 + 2.95. Let h = -26 - -26.4. Put h, c, -1\/5 in descending order.\nAnswer: c, h, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4898, 9770, 14654, 19550, 24458?\nAnswer: 29378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 7*k**2 - 2*k**2)*((1 - 2*k**3 - 1)*(4 + 1 - 3) + 0*k**3 - 2*k**3 + 0*k**3).\nAnswer: -18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 7986*s**5 + 22506*s**4 + 11704*s**3 - 23776*s**2\/9 + 512*s\/3 - 32\/9 = 0.\nAnswer: -2, -1, 2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/7 - 299982*g\/7 - 22497300081\/7 = 0. What is g?\nAnswer: -149991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - p**2 + 3*p - 1. Let x be h(3). Let l = 70 - x. What is the remainder when l is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/2 - 75957*n**2\/2 + 240071268*n + 4092194712.\nAnswer: 3*(n - 12668)**2*(n + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1620 or -97\/5?\nAnswer: -1620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -62?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -377 + 393. Let c = -113\/48 + 11\/16. What is the third smallest value in c, -0.1, i, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135296 or 135297?\nAnswer: 135296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -25, 3, 4 in decreasing order.\nAnswer: 5, 4, 3, 1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + -1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*t - 70*t - 1 + 32*t + (-3*t + 5*t - t)*(1 + 2 - 1) to the form k*t + d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 116320077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 71. Does 10 divide f - 1\/(3 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**3 + 1637*f**2 - 745*f + 29871. Give q(327).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -6, -19\/4, 10, 0.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4487 from 0.678178035.\nAnswer: 4487.678178035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3183700500 to the nearest one million.\nAnswer: 3184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**3 + 7*r**2 + 3*r - 7. Let n(g) = -2*g**3 + 3*g**2 + 2*g - 3. Let j(v) = 7*n(v) - 3*o(v). What is the second derivative of j(h) wrt h?\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 15*l**2 + 5*l + 18. Let d be k(8). Let x be (((-4)\/d)\/1)\/((-5)\/45). Let m(w) = -w**3 - 4*w**2 + 8*w - 4. What is m(x)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 3449*t**2 - 13783*t + 10335.\nAnswer: -(t - 3445)*(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 57. Let x = 71.5 + k. Let w = x + -38. Put -2\/9, 3, w in decreasing order.\nAnswer: 3, w, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89664 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -332daa - -d4?\nAnswer: -332cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2320150 (base 8) to base 4.\nAnswer: 2122001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 107 + 2*b - 107 - b + 0*b - b + (-9*b - 4*b - 5*b)*(1 - 2 + 3).\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5 - 2*a - 2 - 2*a - 4. Give m(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 - 2)*(4 - 3 + 1)*(-2 - 5 + 0)*(p**4 - 29*p**4 - p**4) as a*p**2 + h*p + f + z*p**3 + x*p**4 and give x.\nAnswer: -1624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 5*s**2 + 4*s - 1. Let m be o(4). Suppose -5 = -3*b + 7. Let h be 4*(4\/6 + (-20)\/(-240)). Put m, h, b in increasing order.\nAnswer: m, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7*x + 2)*((1 + 2*x - 1)*(-3*x - 2 + 2) - x + x - x**2 + 4*x**2 - x**2 - 4*x**2) + 4*x**3 - 5*x**3 + 0*x**3.\nAnswer: -57*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74687\/10812 - -8\/901. What is the common denominator of c and 7\/(-21) - 542\/(-24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 15 = -x, 0 = -50*x + 55*x - 2*y - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*v**2 - 56*v**3 + 6*v - 2 + 4072*v**2 - 4*v.\nAnswer: -56*v**3 + 4173*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zaaaaazazaaaaaaa. What is prob of sequence azaz?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - ((sqrt(1300) + (sqrt(1300) - (sqrt(1300) + 1)))**2 + sqrt(13)))*6*3.\nAnswer: -23418 + 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60047)\/(-143) + 30\/(-33) + 1. Is 419 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 3:10 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (4 + -11)) + -1 + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/5)\/(4\/10). Let q(c) = 2*c + 4. Let z(d) = 3*d + 5. Let y(p) = 6*q(p) - 5*z(p). Calculate y(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -5*l + 10, -5*d - 10 = 751*l - 756*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -292 - -527. Let h = 3486 - m. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 0*i**3 + 6*i + 1\/2*i**6 + 9\/2*i**2 + 139 + 6\/5*i**5 + 0*i**4. Find the second derivative of a(h) wrt h.\nAnswer: 60*h**3 + 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.021 and 635.248378288.\nAnswer: 635.227378288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.55 + -11.55. What is the biggest value in m, 34, -2\/11, -0.3, 3\/4?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 173 - 404?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*g + 19*g + 8, -g = 4*x - 82. Let t = 46 - 65. Let h = x + t. Solve -f = h*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 2*a + 3*a)*(2*a**4 - 5*a**4 + a**4) + 0*a**3 + 0*a**3 - 2*a**5 + 4*a**5 - 6*a**5 - 7*a**5 + (3*a + a**4 - 3*a)*(1 + a - 1) + 0 - 2*a**5 + 0.\nAnswer: -8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 16 = -4*k, 3*h + 13 = -4*k. Let i be 4 + -3 - 63*h. Which is smaller: i or -61?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 748218?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 1943568*q + 48 = -1943565*q, -3*l - 2*q - 12 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-275))\/(11*(-3)\/(-165)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(-3*(sqrt(2057) + -1 + -2 - (-5 + 0 + sqrt(2057))) + 0))**2.\nAnswer: 11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*x = 7, 4*x - 3*x = -1. Solve 5*l - 2 = 6*p - 2*p, -4*l + c = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*k - 3 + (-k - 3 + 3)*(-3 - 2 + 6) - 2*k + 5*k - 5*k + 583*k + 287*k - 47*k)*(4 - 1 - 2) to t + n*k and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(((-5)\/(-2))\/(-5)). Suppose 0 = z - u + 1. Let p be (-61)\/(-21) - (6 - z). Do p and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1518732 + -0.1526. What is a rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 5*z - 2. Let q be u(-2). Let x = -42 + 72. Suppose 2*o - 2*d = 0, -2*o - x = -7*o - d. Solve q*g + 3 + o = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 55630.\nAnswer: -9\/55630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 + 163*b**2 - 1335*b - 90138. What is w(-83)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020101 (base 3) in base 4?\nAnswer: -121132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 483 and 9821.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.689694 millimeters in nanometers?\nAnswer: 6689694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36921 or -48\/1013?\nAnswer: 36921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1449*x**6 + 2*x**2 + 63*x wrt x.\nAnswer: 173880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2)**(4\/7))**(28\/3) assuming l is positive.\nAnswer: l**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*s, 2*s - 118 = -18*o + 10*o + 14*o - 6*s for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 1502, -3\/4, 2 in descending order.\nAnswer: 1502, 56, 2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 105*l**8\/8 - 7*l**4\/6 - 2*l**2 - 3*l - 41. Find the third derivative of c(j) wrt j.\nAnswer: 88200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/8)\/(w**(-21)*w))\/(w\/w**(-18)*w*w**(-4)))**(-29) assuming w is positive.\nAnswer: w**(-841\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 21 = -o - 2*s, 0 = 2*s - 8. Suppose -85 = -5*a + o*t, -a - t = t - 11. Solve f - a = -2*f + c, 25 = 5*f + 4*c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 158 = 4*j, 5*x - 381 = 10*x + 3*j. Let y = 75 + x. Solve -3*o + n - 6 - 2 = y, 5*n - 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.5, 35, 2 in descending order.\nAnswer: 35, 2, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(7) + -3))**2.\nAnswer: -72*sqrt(7) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 69. Solve -z + 6 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-18))**(-1\/9)*n**38*n**43\/n*n)**(-41) assuming n is positive.\nAnswer: n**(-3403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**3 + 73*g**2 - 654*g + 362. Determine h(7).\nAnswer: 1076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m + 5. Suppose -4*x + 25 = -5*z - 4, 2*x = 5*z + 27. Let p(r) be the second derivative of 5*r**3\/6 + 2*r**2 - 2*r. Calculate z*p(y) + 4*j(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjfjjfjjfjjjjf. Give prob of sequence ff.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*-2*3*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7482, -7535, -7588?\n\"Answer: -53*j - 7429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 169*q**3 - 32 - 6*q + 442*q**3 + 6*q + 433 wrt q?\nAnswer: 1833*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1202 = j + k, -3*j - 4*k = 3734 - 125. Let a = j + 2071. Suppose 0 = 5*o + a + 978. Round o to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**3 + 72*q**2 - 114*q?\nAnswer: -6*q + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*u + 8*u - 318 + 94 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -7*q + 18. Suppose -575 = -5*y + t, 5*t + 206 = q*y - 117. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - 5*o**2 - o**2)*(-2*o + 3*o - 3*o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 722748511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*4\/(-132)*(4\/2)\/(99 - 91).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/5)*m*m*m**(-4))\/(m\/m**4*m**4) assuming m is positive.\nAnswer: m**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1074, 1076, 1078, 1080, 1082?\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 23. Let y = 55 + s. Does 25 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12103333 + -203?\nAnswer: 12103130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g + 6 = 0. Let u = g + 7. Find the first derivative of u + 0*m - 6*m + 8*m wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**4 - 1 + 2*m - 6*m**4 + 2*m**4 + 3*m**3 to b*m**2 + a + l*m**3 + z*m**4 + o*m and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 4*h**2 + 2. Let z be d(-4). Let i(g) = -11*g**2 + 19*g**2 - z*g**2. Let n(q) be the third derivative of -q**5\/30 + 2*q**2. Determine n(i(v)).\nAnswer: -72*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -113 greater than or equal to 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.1 + -0.9. Let m = -10988 - -10988.5. What is the closest to 1\/10 in h, m, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 10 - (1 - (0 - 10))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -6*l - 13007. Let m = l + 5. Let q = -3002 - m. Round q to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 5:25 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123 - -126. Suppose -3*j + 1356 = 4*f - 0*f, -3*j + 1017 = 3*f. Suppose x*c - 111 = f. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**2. Let o(r) = -5357334 + 5357334 + 40*r**2. Give s(o(g)).\nAnswer: 6400*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35161952?\nAnswer: 2, 7, 79, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000074632278 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 11 = -k, 34*s - 39*s + 2*k = 23 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*q + 28 = -255*q. Calculate the least common multiple of 7 and (37 - 23)*(-2)\/q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2.012. Let i = p - -0.0194. What is i rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13947335 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 42 = -18. Suppose n + g = 4*n. Suppose 0 = 4*q - 28 + n. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**(10\/3)\/(r**(-1\/11)\/(((r\/r**(2\/11)*r)\/r*r)\/r)) assuming r is positive.\nAnswer: r**(120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25971 or -26025?\nAnswer: -25971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -55, 3 in descending order.\nAnswer: 3, 1, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**4 + 24439*n**3\/5 + 15003539*n**2\/5 + 17576761*n + 129278607\/5 = 0.\nAnswer: -1219, -3, -29\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1008) + (2*(sqrt(1008) - (3 + sqrt(1008) + sqrt(1008))) - sqrt(1008)))**2 + -2.\nAnswer: 144*sqrt(7) + 4039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.27 + 31482418.\nAnswer: 31482417.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -4) + (0 - -2). Let x(p) = -2*p**2 - 12. Let f be x(t). Let w be (-24)\/(-64)*(-8)\/f. What is the second biggest value in 5, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896)*3 - (sqrt(392)*3)\/sqrt(7))\/((sqrt(512) - (sqrt(512) + (-5*(sqrt(512)*1 - sqrt(512)) - sqrt(512)))) + 6*1*sqrt(512)).\nAnswer: 9*sqrt(7)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**2 - 21*w + 1. Is f(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 351*z - 163. Is 15 a factor of s(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*b**2 + 60*b**2 + 588*b**2 + 177*b**2 + b**3 + 60*b**2 + 61*b**2.\nAnswer: b**3 + 1118*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 5*l**2 - l - 10. Calculate a(7).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53389, -53390, -53391, -53392, -53393?\n\"Answer: -f - 53388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 6:10 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -3*2)\/((-15)\/10). Solve o + 4 = 2*b, -k*b + 8 - 2 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 14*i - 51. What is v(-12)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/96 and 115\/192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 55604.5 (b) -0.01 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 15 - 0. Is 141 - 2\/c*-3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/432341611?\nAnswer: 4\/432341611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*b + 3*x, 0 = 4*b - 6*b - 5*x - 16. Suppose -3*a = -19 - 17. Calculate the remainder when (b + -17)\/((-4)\/12) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -100*y + 122. What are the prime factors of g(-7)?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34050452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 10. Let q be o(-11). Which is smaller: -2\/37 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*s + 58*s - 3150 = -93*s for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.1 + 50.1. Let i = j - 44.0000325. What is i rounded to six decimal places?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-2 - 91\/(-1)). Suppose 0 = -51*f + 44*f - 14. Calculate the common denominator of 19\/8 and (11\/v)\/(f\/(-284)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*j + 36. Suppose -j = 3*f, 4*f = -3*i - f - 25. Is -1\/4 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 7:29 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**4\/4 - 22*l. Let m(t) = -11*t**2. Calculate m(i(s)).\nAnswer: -99*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35 or -42?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*l = -4 - 11, 0 = l + 5. Let a(f) = j + f**2 - 2*f**2 + 0 - 5. Let m be 0\/(2\/(-2) - 1). Give a(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*t + 126251 - 86018 + 320465. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24139, -48279, -72419, -96559, -120699, -144839?\nAnswer: -168979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 12:26 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42311313 (base 5) to base 4.\nAnswer: 1112122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 196 = -7*g. What is the highest common divisor of g and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/(sqrt(847)*-1 - sqrt(847)))\/(sqrt(42)\/sqrt(54)*5)*5.\nAnswer: -3*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-27)*(6*2)\/2. Solve -3*s - 23 = 2*d, -6*d + 4*d - g*s = 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-756)\/(-8) - (-2)\/4. Let u = -47 + x. Suppose 0 = y - 31 - u. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -12*p**2. Let k(l) = -1176*l**2 + 75*l + 27. What is k(b(q))?\nAnswer: -169344*q**4 - 900*q**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -861843426 - -1?\nAnswer: -861843425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5279329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 6:34 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442991 is divided by 1877.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 8*l + 3 - 1.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 9. What is the nearest to -1 in 2\/9, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-198)\/(-726))\/((-270)\/(-30)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + 4*j + 7. Let d = -12 + 7. Let n be t(d). Suppose i - n = -i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**7\/21 - 2*o**6\/15 + 19*o**5\/5 + 20*o**4\/3 - 325*o**3\/3 + 250*o**2 + 1207*o. Determine b so that r(b) = 0.\nAnswer: -5, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/17, -0.2, -3?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - -4 - 0 - -3. Let o(w) = -23*w + 2. Let n be o(i). Round n to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000024357735 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177032, 354062, 531092, 708122?\nAnswer: 885152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2508, -9741, -21392, -37131, -56628?\n\"Answer: 55*n**3 - 2539*n**2 - n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 37707 - 37707 + 2316*c**2 as r*c**2 + f + l*c and give r.\nAnswer: 2316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27572, -27574, -27576, -27578, -27580?\nAnswer: -27582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i = 5166 - 26909. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/44*(-10 - -8). Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46 - 10*x**6 - 5*x**2 - 46 wrt x.\nAnswer: -1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3 + (-3 + 1 + 0)*(21 + 43 + 37))*(-4*w + 0*w + 2*w)*(121*w - 121*w - 8*w**2).\nAnswer: -3264*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 + 6*c**2)*((23 + c - 23)*(4*c + 0*c + 2*c) + (3*c**2 - 2*c**2 - 3*c**2)*(-1 - 3 + 3)).\nAnswer: 48*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y - 5*y + 143. Let g be -1 - 0 - (-78 - y). Calculate the greatest common factor of g and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84480 and 15351.\nAnswer: 432284160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 303.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*u + 72*u - 40 = 0. Solve -3 + u = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(121) - sqrt(121))*-1 + sqrt(121) + 2*sqrt(121)*-2)\/(sqrt(99) + -2*sqrt(99)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 13 = 7. Suppose i*l + 16 - 46 = 0. Let y = 11 + l. What is the greatest common factor of 182 and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 337*i**3 - 3*i**2 + 12*i - 19. Is m(2) a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2352 (base 9) to base 8\nAnswer: 3324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*o, 0 = -2*d - 4*o + 5*o - 3. Let p be (1 + 4\/(-3))*d. Let k be 33\/2 - p\/(-2). Calculate the greatest common factor of k and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 90*n - 14428. Give l(134).\nAnswer: -2368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**4\/24 - x**2. Let p(b) = 14*b**2. Determine p(s(r)).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*x - 24. Let c = -7 + 12. Suppose 18 = 4*o - o - 3*u, -2*o - c*u = x. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17115, 17119, 17123, 17127, 17131, 17135?\n\"Answer: 4*l + 17111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -109\/7453 or -1?\nAnswer: -109\/7453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 23*d**2 + 3*d + 7. Let i(v) = 23*v**2 + 4*v + 9. Determine 5*i(l) - 6*r(l).\nAnswer: -23*l**2 + 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 9302170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*n + n - 16, 2*w - 4*n = 2. Suppose u - w = 39. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 10*o**2 + 4. Let a(z) = 2*z**2 + 1. Let m(i) = -2*i + 7. Let d be m(5). Let k(f) = d*u(f) + 14*a(f). Differentiate k(h) wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**3 - 52*c**3 - 4*c**3 - 3*c - 8*c**3 + 3*c.\nAnswer: -54*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(21)\/sqrt(3) - sqrt(7)) + sqrt(42)\/sqrt(6) + 2)**2 + (-2*(sqrt(49)\/sqrt(7))**2 - (-3 + sqrt(847))).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17*1\/3 - (-2)\/(-3). Let b(u) = 9*u - u + 1 - 7*u - p*u. Suppose -4*w + s + 10 = 0, -4*s - 20 = -5*w + s. Determine b(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 102244862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2523530572 rounded to 4 dps?\nAnswer: 0.2524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -514*h - 577. Let t(l) = 74*l - 1. Calculate -r(k) - 7*t(k).\nAnswer: -4*k + 584","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-252)\/(-864)*(40\/(-2))\/(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1089, 64, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*c + 24, 0 = 5*s - 4*c - 0 - 30. Let z be (s\/(-3) - -1)\/((-2)\/6). Suppose 0 = -m - z*m + 424. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k - 36156 = 405*k + 208*k + 198*k for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from lkjwklwkppkjkljkkj.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35\/8 - 1\/8. Calculate the common denominator of 16\/7 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0002 - 288.9998. Let z = c - 10. Let t = -298.999857 - z. What is t rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -793145 + -38\nAnswer: -793183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 9 = u. Let k = -7 - u. List the prime factors of (-116)\/k - (-2)\/5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2025732994?\nAnswer: 2, 19, 47, 397, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(2 + (-14)\/4). Let x be 2\/(-7) + r\/(-7). Let b be 2*-1 - x - 0. Let u(i) = -i**3 - 4*i**2 - 4*i - 2. What is u(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)*6 + sqrt(21) - sqrt(21)) + sqrt(210)\/(sqrt(10) + sqrt(50)\/sqrt(5)))\/(-2*(sqrt(448)*5 + sqrt(28))).\nAnswer: -37*sqrt(3)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -19.616.\nAnswer: -18.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*v, 4*v - 3*v - 5*p - 12 = 0. What are the prime factors of (-4 + -10)\/(v\/(-4))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 5752 = -27345. Does 93 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 455.8 to the nearest ten.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21316.86 and 5410.7.\nAnswer: -15906.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1383996?\nAnswer: 2, 3, 29, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6ca (base 14) to base 12.\nAnswer: 94a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384732 is divided by 1384712.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -429*n + 9874. Calculate f(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/1833 (b) 185 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from {u: 4, z: 3, s: 1, e: 2, g: 2, b: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4502944400.\nAnswer: 2, 5, 37, 304253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, 27, 129, 335, 681, 1203, 1937?\n\"Answer: 6*m**3 - 2*m**2 - 2*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -111, -730, -1855, -3486, -5623?\n\"Answer: -253*c**2 + 140*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*b + 4*x, -3*b - 3*x - 16 = 2. Let n be (b\/10)\/((-14)\/35). Solve -u = q + 1, q - n*q = -4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/29700 and -109\/11700?\nAnswer: 386100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1170869?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x - 9*x + 22*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - r**3 + 2*r**4)*(20*r + 13*r - 7*r) + 0*r**5 - 2*r**5 + r**5 + 3*r.\nAnswer: 51*r**5 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 8:00 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - v + 3. Let i be 2\/(-5) - 14\/(-35). Let m be k(i). Suppose 2*g = m*w - 417, w = 4*g - g + 139. What are the prime factors of w?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 313, 1, 3 in descending order.\nAnswer: 313, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037 + 1.04858?\nAnswer: 1.08558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2968 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -6 (b) -3 (c) 5 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 5*x**2 - 5*x - 1. Let t be w(-5). Suppose t = 3*g + 3. Let v = 5 + g. Solve c + 2*c = -v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i + 3*i + (4 + 1 - 4)*(i + i - i) - 2*i + 5*i - i)*(-4 + 3*i + 4).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 454*a**2 + 63*a**2 - 7 - 4 - 8 + 15 in the form w*a + q + k*a**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**3 + 10*u**2 + 2. Let l(p) = -60*p**3 - 99*p**2 - 21. Determine -21*a(c) - 2*l(c).\nAnswer: -6*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (sqrt(700) + sqrt(700) + sqrt(700)*-1*-4)**2 + -2).\nAnswer: 125970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(228) - sqrt(228) - sqrt(228))\/sqrt(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p - 99. Let v(b) = 2*b + 5. What is -6*i(k) + v(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(152)*2*-1 - sqrt(152)) + sqrt(152))\/(2*sqrt(72)).\nAnswer: -sqrt(19)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 25 * -122\nAnswer: -3050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 5:06 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 27 + 24 - 8*o - 7 - 11. Let u be c(-29). Suppose -4*f - 4*k + 1219 = -u, 0 = 2*k. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 34. Let p be i(0). Suppose -2*t + 10 = 0, t - p - 16 = -3*b. Let c = 94 - 65. What is the remainder when c is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-1 - (-6 + 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmgemqi. Give prob of sequence ikg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 - -221?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**5\/60 - y**4\/4 + 30*y**3 - 128. Let u(q) be the third derivative of t(q). Determine u(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533578747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 78589?\nAnswer: -78594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 0*u + 10 - 4*u + 6*u - 4*u. Let j be a(2). Find r such that -1 + 2*r**3 - j*r**2 - 28*r + 1 + 32*r = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*n - 2*q + 2, 4*q + 44 = 3*n. Calculate the remainder when 22 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**2 + 216*y + 1440 = 0.\nAnswer: -6, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 7584.\nAnswer: -1\/2528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - 0)*64\/(-128). Solve -z = 2*p - 2*z + 9, -2*z = -g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (7 + 16 - 23)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -733, -762, -783, -790, -777, -738, -667, -558?\n\"Answer: p**3 - 2*p**2 - 30*p - 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, d: 3}. Give prob of sequence da.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 5*y - 2*y + 2*y**2 - 111 - 3*y**3 + 114. Let l be z(-2). Is ((-12)\/42)\/(l\/7 + -2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 102, 290, 478, 666, 854, 1042?\n\"Answer: 188*a - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1290)\/(-55)*(-2717)\/(-25688) + (-3)\/13?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:27 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 + 104 = -4*l. Let m be 12*(l\/(-12) - -3). Let -75\/4*k**m + 27\/2*k + 45\/4*k**2 - 6 = 0. Calculate k.\nAnswer: -4\/5, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19589713777\/3473392 + 1\/217087. Let g = k + -5644. What is the common denominator of g and -59\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.427358 - -0.42712. Round b to 6 dps.\nAnswer: -0.000238","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 7 + 2*d)*(1 - 9 + 2 - d).\nAnswer: -2*d**2 - 19*d - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.5 - 2.5. What is the biggest value in y, -2, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u + 89. Let f be h(14). Suppose n + f*a - 22 = -26, 3*n + 3*a = 0. Let m = 4 - 1. Solve -y = -t + 7, -3*y - 2*t + n = -m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 2 - 30\/2. Suppose -2*z = -27 + 7. What is the units digit of (j\/z)\/((-1)\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 146456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/27 - -2) + (21860\/42627)\/(84\/(-26))\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12368*r - 11*r**3 + 12368*r.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2054325 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 350*p*u**3 - 20*p*u**2 + 2*p*u + 751226*p - 5*u with respect to u.\nAnswer: 1050*p*u**2 - 40*p*u + 2*p - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*n - 0*n + 3*m, -15 = 2*n + 3*m. Let h be 13 - (n\/1 - 2). Suppose -h = k - 6*k. Solve 5*x - 5*l + 29 = -6, k*x + 15 = l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14*a**2 + 125*a - 3. Calculate j(3).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12501 and 561156?\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = -2*u + 3*j, -3*u - 2*j = 4. Suppose 0 = 2*a - u*a - 4. Find the second derivative of 3*d - a*d - 2*d**4 - 3*d wrt d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-2))\/15*0\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.05 - -0.3?\nAnswer: -22.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000137565 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -11. Let t = g - -3. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24e (base 15) to base 10\nAnswer: -524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*x**2 + x**2 + 0*x**2)*(2*x + 0 + 0) + (484*x - 484*x + 30*x**2)*(-3*x + 2*x + 2*x) to the form d*x + z + v*x**2 + q*x**3 and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3035, 3033, 3029, 3023, 3015, 3005?\n\"Answer: -y**2 + y + 3035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 - 11 - 42) + (-4 - -22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1270 divide 6901180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 3, i: 1, v: 2, b: 5}. Give prob of sequence rr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 9:10 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46085560 by -115.\nAnswer: -400744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(4)*1) - sqrt(57))\/(sqrt(108)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2341273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803808 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 50, 108, 166, 224, 282, 340?\n\"Answer: 58*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1. Suppose 0 = -3*g + 4 - 1. Let z(m) = -4*m**2 - m - 1 + 2*m**2 + 2 + 0*m. Determine g*d(f) + z(f).\nAnswer: -2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahlrm. What is prob of picking 1 h and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -742 or -2965\/4?\nAnswer: -742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122121021 (base 3) to base 2.\nAnswer: -11001000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 455, 456, 457?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4*v**4 - 2 + 2*v**4)*(-v + 4*v - 2*v).\nAnswer: -2*v**5 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 9*x - 12. Let y be w(-7). Solve 2*l = 3*l + y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*s = 8*f - 35, 3*f - 9 = -3*s. Suppose -5 = -7*n - f. Let m = 0 + n. Solve m = -5*r + o + 5, -r - 2*o = 3*o + 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51183 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(11)*1))**2 + (sqrt(17) - (-1 + sqrt(68))**2).\nAnswer: -52 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45787189 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -5. Suppose -59911 = u*r + 84089. Round r to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 96 = -14. Let m be 392\/s - (-4)\/(-22). Let f be (3 + -2)\/((-1)\/m). Solve 3 + 3 = 3*p, -4*a - f = p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*c - 59*c - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -c, -152 - 24 = -o + 3*c. Suppose 4*u = v + o, -2*v = 2*u + v - 69. Suppose 4*d - l - 32 = 0, 5*d - u = -3*l + 15. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 4*i**2 - i**2 + (1 + 1 - 3)*(-i**2 - 2*i + 2*i) + i**2 - 4 + 4 - 1 + 1 + i**2)*(i**3 - 3*i**3 + 6*i**3).\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from baxbbdxrxbxrxxr. Give prob of picking 2 d and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -2, -438, -8, -1.\nAnswer: -438, -8, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.6 - 0.6. Let o = h - 12.00000075. Round o to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 28*g**5\/5 + g**4\/2 + 170*g**2 + 11. What is the second derivative of q(b) wrt b?\nAnswer: 336*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-24 - (-16 - -9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -720014 - -720018. Determine h so that 0*h + 0*h**2 + 3\/4*h**g + 0 + 21\/4*h**3 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + i - 2*i - 10 = 0, 8 = g + 2*i. Suppose g*j + 3 = 31. Suppose j*a = 4*a + 3. What is the smallest value in a, 4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 10*i + 7. Let w = -5 + 12. What is the remainder when d(11) is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v\/v**(2\/5))*v*v**(1\/8)*(v*v*v**(-1)*v*v*v)**(-1\/61) assuming v is positive.\nAnswer: v**(6001\/2440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Give j(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5446034 litres to millilitres.\nAnswer: 544.6034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**2 - 3871868*r + 2581248.\nAnswer: -2*(r + 645312)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**8\/336 - 3*j**4\/4 + 16*j**3\/3 - 20. Let l(o) be the third derivative of z(o). Find the first derivative of l(m) wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 5*p**4\/8 + 31*p**3\/2 + p**2 + 54. Let u be o(-6). Solve -x + u*j + 2 = 0, -4*x + 0*x + 4*j = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70316910 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**5\/25 + p**4\/5 + 4*p**3\/15 + 7. What is v in a(v) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8099.58 months in millennia?\nAnswer: 0.674965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from uayaruyyuu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 6. Calculate the least common multiple of 18 and g(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.206 + 1.806. What is the smallest value in -4, a, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(110)*4 - sqrt(110))*-2)\/(-1*(sqrt(1440) + 3*sqrt(1440)) + sqrt(1440) - sqrt(1440)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -2. Let t be (r - 4)\/((-1)\/1). Suppose -t*d = -3*d. Solve -c + 2*q + d*q = 2, -2*q + 2 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1898878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3346 divided by 9422\nAnswer: -239\/673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*a + 1292 - 417 - 571 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, w: 7, h: 4, v: 1}. Give prob of sequence whwv.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 296 = 5*w, -4*i = -2*w + 4*w - 124. Let l = 16 + w. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + -20 + 20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3174 divide 2727012754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6489 in -2\/5, 2, 5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-262912)\/(-287560))\/(24\/5).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 8*j + 1. Let o = -17 + 11. What is the tens digit of c(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -464.\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1061.49127 and -226289.\nAnswer: -225227.50873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 3 + 2 - 3 - 5 - 5*m. Let h be c(6). What is the highest common factor of 33 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020001211 - -2?\nAnswer: 1020001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**2*g**3*m**2 - 133*a**2*g**3 - a**2*g**2*m + a**2*g*m**2 - 175*a*g**2*m + 2*a*g*m + 6*a + 8*g**3 + g*m**2 wrt g?\nAnswer: 12*a**2*m**2 - 798*a**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 6*l**2 + 9*l - 16. Let o be 3 + (16*-1)\/(-4). Let a be f(o). What are the prime factors of 4 + ((-365)\/a - (-2)\/(-4))?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/427 and 97\/3538.\nAnswer: 24766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 6:39 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64706 = -30491*m - 1162382 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/5 + (-4)\/(-2). Let p(c) = 5*c**2 + 9 - 3*c**2 - 15*c + 0*c**2. Suppose -9 - 35 = 4*q. Let m(z) = z**2 - 8*z + 5. Give q*m(d) + u*p(d).\nAnswer: d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 64\/7 of a week?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5) + -6 + (-732)\/20. Let s = d - -57. Let p(a) = -2*a - 26. Calculate the remainder when s is divided by p(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -i + 4*h, 2*h + 18 + 0 = 4*i. Suppose -2*l - 178 = -2*r, -i*r = -l + 14 - 190. What are the prime factors of r\/(-12)*(-3)\/(9\/12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -2*r**5\/55 + 7*r**4\/11 - 38*r**3\/11 + 36*r**2\/11 + 216*r\/11 + 1409. Find c, given that p(c) = 0.\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -475*s + 471*s. Which is greater: s or 2\/13879?\nAnswer: 2\/13879","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 4:29 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 38 - (-19 + (14 - 17) - -21)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -6.1, 0.5, -1.84?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-3))\/((2346\/68)\/(-69))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23093515 by 6.\nAnswer: -23093515\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -206?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*q + 26. Let g = -9 - q. Suppose -v + 4 = 4*r + 14, -2*r = g. Solve -m - p = -7, -v*m + 5*p - 31 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12318562427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6 - 3)\/(-18) + (-28084)\/(-24) is divided by 78?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029446 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -b + 2*d - 26, -19 = 2*b - 3*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177 and 151158.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 63178500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-108)\/(-8))\/((-3)\/66). Let o = -254 - d. Solve -o + 46 = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/10)\/(-4*(-1029)\/(-1960))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 6431.\nAnswer: 12862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59220401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -1, 0.2, -130, -36, -127?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1113853 by -3.\nAnswer: 1113853\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssus when four letters picked without replacement from fufffssusffusf.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 203645997 plus 4.11?\nAnswer: 203646001.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -84 - 26 - 2*a**2 + 3*a**2 + (-3*a + a + 4*a)*(-2*a + 2*a + a).\nAnswer: 3*a**2 - 110","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/813 + 544\/813. Let q(n) be the second derivative of 0 + 0*n**2 + 0*n**3 + 8*n + p*n**4. Let h(a) = -a. Determine h(q(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 - 0.75. Suppose 3*t + 6 - 21 = 0. Let j = 0.23 + 0.07. Which is the biggest value? (a) w (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2874582020?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*z - 14. Let m be 16\/(-860)*5\/z. Let c be 1 + -3 + 5 + -2. Do c and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279*q = 273*q. Let s(g) = 2*g**2 - 2*g - 34. Determine s(q).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*i + 338, 0 = 5*n + 2*i - 444 + 102. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168586 (base 10) to base 14\nAnswer: -4561c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4613135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ittthhhitth. What is prob of sequence tih?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 2:03 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -62713660 greater than or equal to -62713660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 12698 = 4*k - 3*i, 4*k + 5*i - 12694 = 0. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7.8, -31, 0.2?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589764979.\nAnswer: 71, 349, 23801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -255*x**3 - 85733*x + 85733*x + (3*x - 3*x - 2*x**3)*(-1 + 1 + 1).\nAnswer: -257*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34803*b**3 + 23157*b**2 - 3837*b - 5.\nAnswer: -(3*b - 1)**2*(3867*b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1230467 * 598.\nAnswer: 735819266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-3\/7)\/z)\/z*z)\/(z\/(z**(2\/3)\/z))*(z**(3\/8)*z)\/(z*z\/(z**(-3)\/z)) assuming z is positive.\nAnswer: z**(-1073\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2. Let a(c) = -c + 182. Give a(g(r)).\nAnswer: r**2 + 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, t: 14}. What is prob of picking 2 w?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11808395 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-12)*1*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/(-112)*147\/6 and -19\/36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-2460)*4 - 3380\/(-3731)) + (-87)\/(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 652 = -3*w, -x - 395 + 1265 = 4*w. Is 216 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 36 = -5*l, 2*d + 72 = 6*d + 2*l. Suppose -2*k + 107 = 3*c, 273 - 12 = 5*k + c. Calculate the remainder when k is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 155906?\nAnswer: 779530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 33*a**2 - 16*a**2 - 23*a**2 + 4*a + 11*a to the form w*a**2 + h*a + y and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 263320 (base 16) to base 12\nAnswer: a08914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 12*z = 0. Suppose -3*j + 3 = -3*r - z, 3*j = -r + 15. Suppose -k = -j*k. Solve 0 = -k*a - a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/8 and 27\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 8512?\nAnswer: 1\/2128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77990 and 100.\nAnswer: 779900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 1. Let y(c) be the first derivative of c**3\/6 - c**2\/2 + 125*c + 95. Let f(n) be the first derivative of y(n). What is -3*f(z) - o(z)?\nAnswer: -4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a + a + 8074 + 7130 = 13104 for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2*(5 - 1). Suppose -2 = -2*d + 2*o, 2*o - 10 = -5*d + 2. What is the first derivative of 2 + 2*t + t**d + t**2 - z*t wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*v = 1. Suppose 166*t = 169*t - 15. Calculate the highest common factor of v and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -21 + (19 - (20 - 6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135931.\nAnswer: 181, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 27*v - 29*v. Let n = v - 43. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 856 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -33. What is the remainder when 3936\/132 - (-4)\/n is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.00000208 - 1. What is a rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -15*b**2 + 4*b. Let k be z(1). Put k, -2, 3, 1 in descending order.\nAnswer: 3, 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.31 + -30.31. Sort 1, r, -9\/7.\nAnswer: -9\/7, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -57. Factor -5*z**3 - 108 + 108 + 40*z + k*z**2.\nAnswer: -5*z*(z - 4)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253749029 to the power of 1\/2, to the nearest integer?\nAnswer: 15930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -4.5.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/5*m**4 + 0*m**2 + 0 + 1\/5*m**5 + 0*m**3 + 0*m = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/28)\/((-6)\/(-84)). Is 0 + h + (817 - 19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -15) + (-368)\/60.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4002994.5 times 2?\nAnswer: 8005989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 98\/(-42))\/(4\/306) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5*n - 12 = 0, -386*n - 116 = 5*l - 1700 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72351241 and 651?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/50*2\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuxgig.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 362*a - 21. Let h(q) = -73*q + 4. Determine 11*h(r) + 2*s(r).\nAnswer: -79*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 792873083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82736 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 2*x**2 + x - x. Suppose 9 + 1 = -5*o. Let k(p) = 5*p**3 - 11*p**2. Give o*k(w) + 11*a(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1344, 5381, 12114, 21549, 33692, 48549?\nAnswer: 66126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3562398*z**3 - 8385423*z**2 + 2*z?\nAnswer: -21374388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 13, -1 in increasing order.\nAnswer: -1, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 + 512\/40. Suppose 18*u = o*u + 85. Factor 6 - u*g + 38*g - 21*g**3 - 12 + 6*g**2.\nAnswer: -3*(g - 1)*(g + 1)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 - 2*y**2 + y - 2. Suppose 3 = 3*w - 6. Suppose -w*x = x + 16. Let g = x - -6. Give p(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2643*h**3 - 3240 wrt h?\nAnswer: -7929*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 154.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(12)\/(-2*sqrt(96)) - ((-3*sqrt(108))\/sqrt(6))\/sqrt(9))*2)**2*-4.\nAnswer: -1058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 100 = 2*h. Suppose -s + 2*k + h = -2*k, -4*s = -4*k - 124. Find the common denominator of 75\/26 and (-33)\/(-16)*220\/s.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -18. Let m be (-14)\/(-8) + (-6)\/(-24). Suppose m*r - 100 = -0*o + c*o, 2*o - 210 = -4*r. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*p - 96*p + 9*p**2 + p**2 - 111*p.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/42? (a) -4 (b) 1\/5 (c) -96 (d) -2 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807159946 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 55*h + 110. Give v(-10).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*c**3 + 2330*c**2\/7 + 1993*c\/7 + 552\/7 = 0.\nAnswer: -1, -552\/889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 361276 divided by -581.\nAnswer: -361276\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 223 + -217.62. Let k = j - 0.38. Let a = 6 + -11. What is the third smallest value in a, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {h: 8, r: 2, q: 2, f: 1, e: 1, n: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 81, 0, -3, 2 in descending order.\nAnswer: 81, 6, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 128*x**2 + x + 280. Let m be b(-128). Solve -135*l = -m*l + 153 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 3\/73 (c) 4 (d) 7 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-8)\/(-16))\/(6\/94) and 55\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3\/2 - 1499*h**2\/2 - 280500*h + 281250 = 0.\nAnswer: -750, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z*z\/z**6*z)\/z)*z)\/z**(10\/7)*(((z\/(z**7\/z))\/z)\/z)**(4\/5) assuming z is positive.\nAnswer: z**(-1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -326783 + 246*s + 326783 + 3*s**2 in the form i*s**2 + p + t*s and give t.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.4 and 1376.48.\nAnswer: -7432.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x**3 + 49 + 20*x**2 + 7*x**3 - 59*x**3 - 18*x**2 - 250.\nAnswer: -74*x**3 + 2*x**2 - 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13524.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - 60. Let f be 3069998\/10 - 16\/w. Suppose -22*m + 23*m + f = 0. Round m to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32.4 - -33. Which is smaller: n or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**4 + 0*h**4 + 0*h**4 + (-h**2 - 2*h**2 + 5*h**2)*(-4*h**2 + 4*h**2 + 3*h**2).\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 33. Let j be 22 + 1 + 1*-1. What is the greatest common divisor of d and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -19ac?\nAnswer: 19ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 0*w = 357. Let y be -7*3\/w*19. Calculate the highest common factor of y and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**4 + k**4 - 4*k**4)*(2 - 2 - 2)*(0 + 2 + 3).\nAnswer: 60*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k = 2*k - 66 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1338150 and 300?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 874 = 5*c, -34*k + 35*k = -4*c - 187. Are -214 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1766491184.\nAnswer: 2, 110405699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5107*z + g + 60 = 5102*z, g = -2*g - 2*g + 3*g - 10 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:01 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*-6 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -2.2. Let u = 0 - d. Suppose -4*g - 4*g + 0*g = -64. Which is the closest to -0.2? (a) g (b) u (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.1, -3\/127 in increasing order.\nAnswer: -0.1, -3\/127, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -501450, -501283, -501116?\n\"Answer: 167*u - 501617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2 + 655*r + 367. Calculate h(-93).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1128829385 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*t**4 + 130*t**4 - 58*t**4 + (-9 - 9*t**3 + 9)*(-7*t + t - 4 + 2).\nAnswer: 156*t**4 + 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + 3*b - 2*b)*(b**2 + b**2 - 5*b**2) + 4*b**3 - 4*b**3 - b**3 - 5*b**3 - b**3 + 2*b**3 as v + r*b + w*b**3 + i*b**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.339 * 994\nAnswer: 1330.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4))**2*5 + (sqrt(1008) + 1 - sqrt(1008))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 53 - 155 = 0. Suppose -633 = -54*d + z*d. List the prime factors of d.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 134 + 4 + -3 + 2. Let w = -5 + o. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2*g + 4 - 18*g.\nAnswer: -20*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*g - 120, -4*l + 27 = g - 13. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*o - 23, 4*o - 2*f - 10 = 2*o. Suppose 5*c = 4*b - 42 + o, -b = -3*c - 17. Find the second derivative of -2*w**b - w - w + 4*w**5 wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 2106\/153 + 64\/272.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n**2. Let o(g) = -g**2. Let j(t) = -2*f(t) + 4*o(t). Let u(p) = -3*p**2. Give j(u(r)).\nAnswer: 72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/18 and (390\/(-10465))\/(4\/(-7))?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*m + 5 = 0, -2*x + 5*x - 2*m - 25 = 0. Suppose -23 - 17 = -x*a. Calculate the highest common divisor of a and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1256 - 1256.000003172. What is x rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10124988 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -68*k**3 - k**2 + 16*k - 13. Calculate the remainder when t(-5) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - m + 77. Let j = 654 + -641. Calculate the remainder when p(0) is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 9*m**2 - 8*m + 3. Let j be ((-6)\/(-15))\/(2\/40). Let b be n(j). Solve 3*d = 5*c + 12, -3*c - 7 - b = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)\/(f\/(f*f**(-3)\/f*f)))\/(f**5)**(2\/37))**(-23\/2) assuming f is positive.\nAnswer: f**(4485\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1704.99 + -1705. Let x = 33 - 32.986. Which is bigger: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 2. Let x(a) = 67*a - 5. Calculate 4*w(f) - 2*x(f).\nAnswer: -130*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211 - -1103032?\nAnswer: 1103303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -10555?\nAnswer: 10563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5881999, 5881994, 5881987, 5881978, 5881967, 5881954?\n\"Answer: -q**2 - 2*q + 5882002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1405.9342 + 1406. Let d = -3.9342 - w. Let i = 3.2 - 0.2. Which is the smallest value? (a) d (b) i (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1452200 and 1426760?\nAnswer: 977330600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 100011100 (base 2) to base 16\nAnswer: 11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, 2, 0, 6073, 55?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3018 a factor of 296603352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2. Let l(p) be the third derivative of -p**4\/12 + p**3 + 7*p**2. Let x(k) = 2*k - 5. Let j(v) = 5*l(v) + 6*x(v). Give j(w(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8761446 divided by -54083\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 226152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -236 + 239. Suppose 2*d - 10 = 0, p*n = d + 10 - 9. Solve 13 = -l + 2*x, 0*l = -n*l + x - 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 106*j**4 - 9653*j**2 - 8321322?\nAnswer: 424*j**3 - 19306*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62902 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -20*g. Let a(u) = -u. Let n be (1\/(-1))\/(7 + -6). Let y(v) = n*q(v) + 15*a(v). Let j(c) = 13*c - 38 - 26 + 64. Determine j(y(o)).\nAnswer: 65*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1843 - 1019. List the prime factors of g.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5185 + 5184.6. Sort 8, -2, 1, 10, q in descending order.\nAnswer: 10, 8, 1, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -64 in -0.3, -405, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 4. Let i(g) = 2*g**2. What is w(i(d))?\nAnswer: 4*d**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -1, 1\/6, -12, 0.1, 0.021, -2\/117?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(252) - -2*sqrt(252)*-1).\nAnswer: -6*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5829805 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 6*h. Let y be j(-7). Let b = -10055 + 10057. What is the third biggest value in -1, y, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1832 is divided by 510.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1211836 centuries to decades.\nAnswer: 1.211836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 18*m**2 + 7. Let d(i) = -18*i**2 - 6. What is 7*d(a) + 6*k(a)?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -29. Let r = 0.035 - 0.035. Which is the closest to r? (a) m (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymayaamxa. What is prob of picking 1 a and 1 x?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = 2*p. Let w = -19 - -10. Let t = 0 - w. Solve -11 = p*c + t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) - 31\/(-2). Let v = n + 19. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-2)\/2)*(-3)\/45\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 8:09 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/516230 and 107\/206492.\nAnswer: 1032460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + 103. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 25*x = 84 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -0.2. Let g = x + 0.3. Let o = -6 - -5.7. Which is the smallest value? (a) -5 (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 g when three letters picked without replacement from {g: 2, o: 1, k: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33908 times -3.138?\nAnswer: -106403.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-118697)\/(-7) - (-8 + 648\/84) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1737213 + -81?\nAnswer: 1737122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in 3\/4, 0.2, 2\/5, 2, 2.48?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*q + 407 + 402 = -537 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*t - 10, -5*v + 2*t = -3*t. What is the second derivative of 5*s - 2*s**5 - 3*s**5 + 2*s**5 - 2*s**v wrt s?\nAnswer: -100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21641 is divided by 1026?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20674 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a + 1. Let q(k) = -k**3 + 2*k**2 - 6*k - 3*k**2 + 1 + 8*k**2. Let h be q(6). Let w = -3 + h. Calculate d(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/6 + 630253*s**2\/3 + 397218844009*s\/6.\nAnswer: s*(s + 630253)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 a when three letters picked without replacement from {a: 5, j: 1, v: 3}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3658 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.35 + -0.71. Let m = g - 0.639999348. What is m rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -430929, -1723727, -3878391, -6894921, -10773317, -15513579?\n\"Answer: -430933*c**2 + c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 times 11?\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*q**2 - 242*q**2 - 219*q**2 - 231*q**2 - 233*q**2 + 1133*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1756 - 3247 + 11*l**3 + 2*l**3 + 5003.\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.1 + -28.5. Sort 2\/3, 5\/6, i in increasing order.\nAnswer: 2\/3, 5\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 12 = 2*b. What is the lowest common multiple of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 4*w + w)*(2 + 3 - 4) + (-1572 + 373 - 2247)*(3*w - 4*w - w).\nAnswer: 6896*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -501 * -8\nAnswer: 4008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**5*l**(-1))**(-1\/5))**(-2\/43) assuming l is positive.\nAnswer: l**(8\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 27.8. What is the closest to -1\/3 in 0, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 14, 15, 14, 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 949 divided by 2?\nAnswer: 949\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292460.733 rounded to the nearest 10000?\nAnswer: 1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1464 - -1736. Calculate the least common multiple of v and 48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - c + 2. Let j be y(0). Suppose 0 = 3*k + 2*x - 10, -3*k - j = -4*x - 0. Solve -k*o - 15 + 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24507117?\nAnswer: 3, 29, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -30*o + 1. Let y be u(-1). Let r = 37 - y. Differentiate -r*z**2 + 12*z**2 + 0 + 6 wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(66))\/(sqrt(216)\/sqrt(4)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 10482 (c) 17\/604\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.141, -1\/3, 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14650.\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2017 is divided by 1148.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21677.\nAnswer: 53, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 0*y**3 + 0*y**4 - 63\/2*y**2 + 0 + 0*y**5 - 31\/15*y**6 + 42*y. What is the first derivative of a(l) wrt l?\nAnswer: -248*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) -1014 (c) -2\/3 (d) 9\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/90021?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*a**2*m + 117*a**2 - 2*a*m + 908*a - 9048*m with respect to m.\nAnswer: 10*a**2 - 2*a - 9048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 13*z**3 + 7*z**2 - 7. Let u(k) = k**3 + k**2 - 1. Give -2*q(v) + 14*u(v).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**4\/8 - 5*g**3\/6 + 5*g**2 + 27. Suppose -30*x + 25*x = -10. Calculate v(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716611067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*t - 130 = 0, 3*t + 38 = 4*m + 142. Let q = m - -30. Is 13 a factor of 3 - (q - (131 - -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1491831?\nAnswer: 3, 11, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*-2*4)\/(1*sqrt(5)*1) + (sqrt(3) + 5 + -5 + (sqrt(33)\/(-3*sqrt(11)) - sqrt(3)))**2.\nAnswer: -8*sqrt(3) + 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from hqqqqlqrhrqq.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 9 + 55 + (-3 + 0 + 5)*(2 + 1 - 2) + 5 + 0 - 3 - 4 + 4 - 1 - 4 + 1 + 2 - 2 + 3 - 2)*(z - 3*z + 7*z)*(1 + 3 - 2)*(-z + 4*z + 0*z).\nAnswer: 3210*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t**4 - 4*t**4 + 3*t**4)*(-14 - 41 + 40).\nAnswer: -90*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -96. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0065 + 0.0665. What is the second biggest value in -0.4, 5\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d + 3*l + 15 = 0, 2*l - 13 = -5*d. Let g be d\/((195\/2)\/(-5)). Let q = 0.1 + -1.1. What is the biggest value in g, -1\/9, q?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126713, -126437, -126161, -125885, -125609, -125333?\nAnswer: -125057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*(x*x**0*x)\/x)*x)\/x)**9\/(x**(-2\/3)*x)**(-2\/23))**(23\/3) assuming x is positive.\nAnswer: x**(-619\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 less than -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g + 8. Let p(o) = -8*o + 3 + 19*o - 4*o + 2. Calculate 8*p(d) - 5*y(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2117 - 1344. What is the remainder when t is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2 = -2*t, t + 2*t = 2*q + 3. Let x = 1.3319 - 21.3319. Which is the third smallest value? (a) 0.1 (b) x (c) q (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 + -27. What is the highest common factor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1626 + 1064. Suppose -3*n + i = -5*g, -4*n = -10*g + 14*g - 3576. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-288)\/(-6))\/((-17)\/(-357)) and 648.\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60541 is divided by ((-66)\/4)\/((-18)\/2 - 19482\/(-2176)).\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -140*u**2 - 3278*u + 5556. Give j(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 170192657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 1 - 3*y + y)*(y**2 - 2*y**3 - y**2) to f + i*y + j*y**3 + l*y**2 + q*y**4 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 1 - 1. Let u(v) be the third derivative of 0*v + 0*v**4 + 1\/60*v**5 + 0 - 33*v**2 + 0*v**3. Calculate i(u(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 4*b**2 - 8*b - 9. Let n be s(6). Solve n*i = 12*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 189*j**2 + 9024*j + 8836.\nAnswer: (j + 1)*(j + 94)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1362511\/1788 or -761?\nAnswer: -761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.95 + 12. Is -3 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+-108\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31718922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*u)*(-18*u - 28 + 6 + 15).\nAnswer: 36*u**2 + 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1502883 - -2687883. What is f rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 6 = -2*k - 14*l, 0 = 2*k - 3*l + 8. Which is the third biggest value? (a) k (b) -3 (c) 2 (d) -1\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5843327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h**3 + 2*h + 1. Let o(x) = -x - 1. Determine -k(g) - o(g).\nAnswer: -9*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.123 rounded to 1 dp?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 6*r + 14. Determine i(-12).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680*m - 2*m**3 + 342*m + 338*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 147 = -3*f, 5*f - 12 = f. Let h be (-10 + 18)\/2 - (1 + t). What is the greatest common factor of 12 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 1 (c) -313 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*u + 18, 158 = -5*f + 1093*u - 1091*u. Let s(w) = w - 31. Let m be s(0). Is f > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 544 divide 269280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 237*m**3 - 1473 - 2*m + 1473.\nAnswer: -237*m**3 + 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 4*n + 8. Solve o + n*o + 2 = 4*b, -5*b - 2*o - 9 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38148 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**6\/45 - 7*q**5\/30 + q - 21. Let k(g) = 0. Calculate g.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2046 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 6 = -42 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 15 = k. Suppose -243 = -k*j - 643. Let s = 190 + j. Is 30 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-5\/2))\/(z*z**(-3\/7)\/z))**(-4\/13) assuming z is positive.\nAnswer: z**(-110\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.159 - 0.841. Which is the closest to -2? (a) f (b) 13 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 6, -3, 7, -97, 3 in ascending order.\nAnswer: -97, -3, 1, 3, 4, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -852.7, -0.01, -357.\nAnswer: -852.7, -357, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(2)*-3 + sqrt(128) + 1)*-2.\nAnswer: -4*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -61*f**2 + 558*f - 92. What is g(9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/17)\/(b\/(b**(-22)*b)*b))\/(b\/(b\/((b\/(b\/b**(-36)*b)*b)\/b*b))*b\/b**(-1\/28)) assuming b is positive.\nAnswer: b**(5583\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**7\/840 + g**6\/240 - g**5\/40 - 5*g**4\/2 - 6*g. Let i(z) be the third derivative of l(z). Determine i(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21991 is divided by 453.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24550 is divided by 8167?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 15 = -2*y. Let i = y + 5. Let t be (-4 - -2) + -1 + 6. Solve 0 = -t*v + 2*u + 8, -i*v + 7*u = 3*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 344, 19, 4, -1, 5, -2.\nAnswer: -2, -1, 4, 5, 19, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 5:11 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -428.\nAnswer: -1712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) 5 (c) -10 (d) -1 (e) -22.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/13 in 0.4, -0.6, -0.5, 1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152704400 rounded to the nearest 1000000?\nAnswer: 153000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(6\/2) + 6. Suppose 4*x + 1 = p. Suppose -2*l = -17 + x. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 35, 4, -3 in decreasing order.\nAnswer: 35, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19.851 from 763866.\nAnswer: 763885.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6400 divided by -4?\nAnswer: -1600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1130\/13560 - ((-10)\/24)\/(-5). Solve 4*y + 4*d + 3 = -d, 3*y - 5*d - 24 = h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 - 175*j. Let i(x) = -2*x + 5. Calculate w(i(c)).\nAnswer: 8*c**2 + 310*c - 825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 785 = 4*i - 800, 0 = -i + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.255 - -0.055. Let y = t - -19.2. Which is the nearest to y? (a) -2\/7 (b) 2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -306 - -380. Let b = 88 - f. Solve -b + 2 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-5))\/(2\/810). Is 12 a factor of v\/10 + 1\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1394 and 6806.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1368875.2 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 724 and 11946?\nAnswer: 23892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + 0.39. Let v = u + -4.4. Let s = 0.52 - 0.42. What is the third biggest value in -0.4, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 5*q - 14, 3*q - 537*c = -538*c - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 0*a + 1\/15*a**5 - 3 - 1\/9*a**3 + 1\/12*a**4 - 1\/6*a**2. Factor u(v).\nAnswer: v*(v - 1)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 87948*d + 703328.\nAnswer: 4*(d + 8)*(d + 21979)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(4\/7))\/j**(-2\/45)*j**(-2\/21)\/j**(1\/7))**(-1\/48) assuming j is positive.\nAnswer: j**(-31\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18087 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 4*z = 0, b + 61*z - 57*z = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - 2*c**3 - 3*c + (2*c**2 - 3*c**2 + 0*c**2)*(4 - 4 + 2*c) + c**3 - 6*c**3 + 4*c**3 + 942049 + 7436*c**3 - 942049.\nAnswer: 7431*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o)**(17\/5)*o**(-10)*o**22 assuming o is positive.\nAnswer: o**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.053, -1\/6, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/233, 41, 1\/7, -2, 5?\nAnswer: 1\/233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 7 + 18. Let f(w) = 8 - 8 + 2*w + w - 16. Let b be f(5). Put -2, r, b in decreasing order.\nAnswer: r, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2725*u**4 - 5786*u**3 + 3*u**2 + 15039*u - 7182.\nAnswer: -32700*u**2 - 34716*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/1*(0 + 0). Suppose 7*d = 2*d + 15. Sort 1, d, a in ascending order.\nAnswer: a, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -12. Let t be ((-6)\/4)\/(6\/(-8)). Let c be 2*t*(-2)\/12. Sort s, -0.5, c in ascending order.\nAnswer: c, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 4.267651?\nAnswer: 9.267651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 - 81. Let h(f) = -25 + c + 10 + 13 + f. Calculate h(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289754, -579515, -869276?\nAnswer: -1159037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*q - 103. Let g = q - 19. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*v + 3655 = -1372 - 3223 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.01, -5, 3\/5, 45.9 in increasing order.\nAnswer: -5, 3\/5, 2.01, 45.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 13*g - 27*g - 350 = 0 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14*(84\/637 - (-4)\/26). Suppose j*b = -0*b + b. Suppose b = 11*g + 2 - 2. Solve 0*a - a + 4 = g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)*-2*-6 + sqrt(30))\/sqrt(6).\nAnswer: 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6036.0001816 - 6036. Round j to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*i - 14*i + 181*i**5 + 204*i**5 - 23*i - 22*i - i**2 wrt i.\nAnswer: 23100*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(24)\/(sqrt(12) - sqrt(432)))*-6.\nAnswer: -36*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5 - 18*a**4 + 55050*a**3 + 55080*a**2 - 55047*a - 55062 = 0. What is a?\nAnswer: -138, -1, 1, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 12.06. Let n = h + -0.36. Let d be 1 - 4\/(-54)*-12. Which is the closest to -1? (a) d (b) n (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from ixx?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5) + 3 + 2)*1)**2 - 4*(sqrt(320) - ((2*(sqrt(320) + 1) + sqrt(320))**2 + sqrt(320))).\nAnswer: 634*sqrt(5) + 12286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 3*l**2 + l - 16. Calculate v(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9\/6)\/((-14)\/((-1568840)\/30))?\nAnswer: 13, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.299 * -8460\nAnswer: -19449.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -157, -153, -147, -139, -129, -117?\n\"Answer: y**2 + y - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -871000 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*sqrt(300) - sqrt(300)) + (sqrt(252)\/sqrt(7))\/sqrt(12)*4.\nAnswer: 2 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10167747 (base 9) to base 3\nAnswer: -100012021211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62442 and 1584?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 651 - 637. What is the remainder when 628 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/9 - (-2920)\/180. Let t be 3\/(-5) + (-1380)\/(-50). Suppose -29*j = -t*j - 18. Solve 2*z = -4*u - m, 27 - j = -5*z + u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2986, 12198, 27634, 49294, 77178, 111286?\nAnswer: 151618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/6213 or 1?\nAnswer: -2\/6213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5255976 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*i + 40, 3*n - 2*n - 3*i + 8 = 0. Let j = -783 - -768. Which is greater: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -79216, -159208, -239200?\n\"Answer: -79992*h + 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 540*a**2 - 13315*a - 12780.\nAnswer: -5*(a + 1)*(a + 36)*(a + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 16. Suppose 7*n = f*n + 745. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 10) to base 16\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**9\/10080 + h**8\/20160 - h**7\/5040 + 39*h**5\/20 - 34*h**2. Let l(b) be the third derivative of r(b). Give l(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -337 (b) -7 (c) 0.1 (d) -1\/2 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400) - -1*sqrt(1400))\/sqrt(8) + sqrt(63)\/(1*sqrt(9)) + (-3 + sqrt(7) + -1)**2.\nAnswer: 3*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*y + 2*y. Let h be y\/(-8) - 70\/(-4). Let t = h + -9. Calculate the greatest common factor of t and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10316 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -362337 + -32?\nAnswer: -362371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -165 + 229. Determine u so that 30*u**2 - u**3 + 7*u**3 - 3*u**3 + r + 51*u - 40 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129014133163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1187 and 1044423495.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -190, -0.1, -0.39, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1423*h**2 - 101*h**5 + 107*h**2 - 51*h**5 + 237*h**5 wrt h?\nAnswer: 5100*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 13*a + 58. Give x(-17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 0 + 2\/11*u**2 - 1\/66*u**4 - 1\/33*u**3 + 8*u. Let g(w) = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*s**2 + 188*s**2 - 71*s**3 - 3 - 96*s**2 + 6*s + 67*s**3 to f*s**2 + d*s + v*s**3 + l and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -223, -285, -375?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.044 - 0.354. Let l = s + -18.69. Let a = l - -19.055. What is a rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -271 * 0.1.\nAnswer: -27.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, -2, -8\/3, 3\/4, -8, 1\/47, 4?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74146814*h - 7357991 with respect to h.\nAnswer: 74146814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Suppose -165 + 39 = -6*d. Let a be (3\/(-2))\/(d\/(-28)). Let g(u) = 63*u**a + 61*u**2 - 118*u**2. Determine x(g(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60.4 * -3.\nAnswer: 181.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 8*n**2 - 8*n - 2. Let z(c) = 21*c + 49. Let x be (-5 + 3)*(8 - 7). Let s be z(x). What is o(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i + i)*(-2902*i + 3228*i + 4 - 4).\nAnswer: 652*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.0467932 - 4.046795. Let q = m + 2. Round q to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -435?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 783 and 322108974?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a factor of 29804160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*i + 18, 0 = 2*i - 3*q - 2 + 7. Let w be (-7)\/i + 2*2. Which is smaller: 0.3 or w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -13*d**4\/4 - 3*d**2\/2 - 302. Let k(j) = 13*j**3 + 4*j. Calculate -4*i(z) - 3*k(z).\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 179*h**5 + h**3 - 9600*h**2 wrt h?\nAnswer: 10740*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36.25? (a) 1\/3 (b) -149 (c) 14\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-9))\/z*z**(2\/7)*z)\/((z*z*z\/z**2)\/z)**(-29) assuming z is positive.\nAnswer: z**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -872 + -8cd1?\nAnswer: -9653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 1264 + 661. List the prime factors of v.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3839856 weeks in days?\nAnswer: 2.6878992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -31. Let v be 64\/(10\/(m\/(-2))). Solve 4*y + v = 7*q - 3*q, y - 3*q = -14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**4 + 1697*c**3 - 385*c**2 - 22622*c - 50 wrt c?\nAnswer: -24*c**2 + 10182*c - 770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 - 64. List the prime factors of (n\/3)\/(-1)*-84.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1097697 divided by 3\nAnswer: 365899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770067.\nAnswer: 3, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96 - 94) + -9 + 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328836 is divided by 7981.\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**0))\/l)**(2\/41)\/((l**(-4)*l)\/(l\/(l\/(l\/l**(-3\/5))*l*l*l))) assuming l is positive.\nAnswer: l**(318\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.030998426?\nAnswer: 0.092995278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 - 412*k - 6164. Give p(-14).\nAnswer: -788","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, 5, -2.\nAnswer: -16, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*f + 5*f + 24, 3*f - 3 = -2*w. Let s be 8 + 6\/w*-3. Solve s = z + 4*o, o = -4*z - o + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t**2 - t + 17. Let q(i) = -9*i**2 - i - 19. Let o(z) = 4*k(z) + 3*q(z). Calculate o(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/12 - (-700102)\/412599. Let y = -2\/12503 - x. What is the common denominator of y and -79\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*n + 14*n + 216 = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1 (c) -3 (d) -2 (e) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 10. Let i be p(0). Suppose 6 = 13*c - i*c. Solve -c*f = 4, 4*f = 5*h - 2*h - 23 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-15))\/(-1 - (-6)\/5). Let g = -3\/16 - -11\/16. Which is the smallest value? (a) g (b) h (c) 2\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyssnsss. What is prob of picking 4 s?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = x - 11*x. Calculate the remainder when 51 + (-2 - (-1 - 2)) is divided by 142\/8 - 3\/x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**4*i**2 - 23*f**3*i**2 - 5*i**2 + 11*i with respect to f.\nAnswer: 8*f**3*i**2 - 69*f**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3100)\/14 + (-2 - 0). Let f = 12799\/56 + x. Calculate the common denominator of ((-2)\/(-28) + 7\/(-49))*-118 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*v + 86*v + 24 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 340 = -2*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16025, -16034, -16039, -16040, -16037, -16030?\n\"Answer: 2*w**2 - 15*w - 16012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 2399*c**5\/20 + 2*c**4\/3 - c**3\/6 - 95*c**2 + 8551*c. What is the third derivative of l(i) wrt i?\nAnswer: 14394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1533488, -1533490, -1533492, -1533494, -1533496, -1533498?\nAnswer: -1533500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -2 (c) -0.151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 22883?\nAnswer: 45766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03799 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -23. Suppose 125 = q*m + 5*h, m = -0*m - 3*h + 17. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 25*r**2 - 27*r + 12. Let y be s(26). Let l be 2*(-1)\/11 - y\/77. Solve l = a - 2, -2*i = -a - 0*a - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f. Suppose -4*p + 4*w + 12 = 0, -2*w + 7*w = -15. Let u(k) be the second derivative of p*k**3 - 1\/4*k**4 + 0*k**2 + 0 - 2*k. Determine d(u(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102121212022 (base 3) to base 16.\nAnswer: -37dc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/6))**(-45) assuming j is positive.\nAnswer: j**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/19*i + 2\/19*i**2 + 50\/19.\nAnswer: 2*(i - 5)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1237381.\nAnswer: 619, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 252.1 + -189. What is i rounded to zero decimal places?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*q**4*s*y**2 - 3*q**4*s*y - 2*q*s + 2*q*y**2 + q*y + 9*s wrt q?\nAnswer: -144*q**2*s*y**2 - 36*q**2*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916 divided by 61?\nAnswer: 1916\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101201210010 (base 3) in base 10?\nAnswer: -1274133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2748 is divided by 89.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -708\/209 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 9:36 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 57.6. Which is the biggest value? (a) 6 (b) -28 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169402572 = s - 5*s. Suppose 5*g = 5*f, -3*g + f = 1 - 11. Suppose s = g*w + 14350643. What is w rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*y + 25. Let f be -30 - -21 - (-24)\/y. What is the nearest to -0.3 in -2, f, -1\/10, 3\/2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-3) + (-1)\/(-14). Let t = 253\/2 + -126. What is the nearest to 1\/3 in 5, l, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005868011 to 6 dps.\nAnswer: 0.000587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 2*p + 0*p + (3 + 0 + 0)*(-5*p + p - 11*p).\nAnswer: -46*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, -0.717, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-8 + (-10 + 2 - (2 + -12)) - 16).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 271857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10.26131 and -0.0869039?\nAnswer: 10.3482139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brbrrwbwbrwwwwbw. Give prob of picking 2 w.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 10. Suppose 0 = 3*i - 0 - 12. Let o be b(i). Suppose o*m - 11 = -3. Solve q + q = -m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -11*c**2 - 2*c + 1. Suppose 4110 - 898 = -11*m. Let o = m - -293. Give a(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53069223?\nAnswer: 3, 17, 19, 54767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = b - 20 - 0, 24 = 4*b - 2*l. What is the smallest common multiple of 4\/(-16) + 81\/b and 170?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -112*l**2. Let j(s) = 6*s - 3*s - 4*s. Calculate j(c(m)).\nAnswer: 112*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -12.7311 (c) -3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 432*c**2 - 15552*c.\nAnswer: -3*c*(c - 72)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 divide 230765345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/7 and 41\/220253.\nAnswer: 1541771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 1281 = -1303. Let j = 22 + l. What are the prime factors of j?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 19*l**2 - 27*l**3 + 1 - 10*l**2 + 9*l**3 - 3*l**2 + 10*l to g*l**2 + c*l**3 + j*l + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11957*x - 73. Let r be h(11). Round r to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6484002 to the nearest integer?\nAnswer: 2546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + 2*f)*(f**4 + 4*f**4 - 3*f**4) + (f - 2*f**2 - f)*(3*f**3 - f**3 - 7*f**3) - 2*f**5 + f**5 - 5*f**5.\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, 1138 in decreasing order.\nAnswer: 1138, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1220*s**3\/3 - 17182*s**2\/3 + 1426*s\/3 + 28\/3 = 0. What is s?\nAnswer: -1\/61, 1\/10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2835) + 1*sqrt(2835))\/sqrt(7).\nAnswer: 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00282731085 to five decimal places.\nAnswer: -0.00283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 12*y**2 + 17*y - 1. Give t(4).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/156720 and -203\/38940.\nAnswer: 101711280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4284299 + 36.\nAnswer: -4284263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8376498.92 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15)*20 + -2*1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 0.4 (c) -104918\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 12798*w. Let z(s) = -s. Determine g(z(o)).\nAnswer: -12798*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -36106?\nAnswer: 36112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 501747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**2 + 17398*s - 1057557 = 0.\nAnswer: 61, 17337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4676 = r + r, 2*k = -2*r - 4686. Let f = r - -3315. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2207)\/(-19863) - 7\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89289.15mm to centimeters.\nAnswer: 8928.915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 + -1) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 17\/((-221)\/39). Let u(r) = r - 2. Let c(h) = 1. Let z(o) = -13*c(o) - 6*u(o). Let g(n) = -5*n - 1. Calculate v*g(q) + 4*z(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)\/g*g**(-4))**(-2\/45))**32 assuming g is positive.\nAnswer: g**(512\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/33 + (-82)\/(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 235389 - -0.081265.\nAnswer: 235389.081265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 12 = 3*s. Suppose -3*j = 3*f, -2*j - 3*j + 45 = -s*f. What is the second biggest value in 1, -3\/8, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x*x**(-3\/14))*x**3\/x*x**(-3\/5)*x*x*x**(-12) assuming x is positive.\nAnswer: x**(-657\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 41*j + 1104. Calculate p(-58).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2032564 (base 7) to base 5.\nAnswer: -30242403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 7. Let b be i(-9). Suppose 5*o - 12 = 3*o - 2*c, b*o = c + 12. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26066124 divided by -28\nAnswer: 930933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*j - 27*j + 43*j + 10)*(-4 + 1 - 11).\nAnswer: 28*j - 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3172*f - 91770 = -3673*f + 290*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**6\/30 + 2*a**5\/15 + 7*a**4\/6 + 8*a**3\/3 + 15*a**2. Find t, given that w(t) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1188) + sqrt(33))\/(sqrt(99) - (sqrt(99) + (sqrt(99)*2 - sqrt(99)))) - 2*(2 + 1 + 0 + sqrt(75))**2.\nAnswer: -168 - 211*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 6 - 1) + -1 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 1, t: 2, q: 1, w: 1, n: 2}. Give prob of sequence tqd.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51.32 + -51.319979678. Round w to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 11.3. Let p = 8083268.7000037 - 8083268. Let j = p + t. What is j rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 47670*f**2 - 95351*f**2 + 47689*f**2.\nAnswer: 8*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*v - 50, -v + 38 = -5*h - 0*v. Let k = -4.9608654 + -0.0391346. What is the third biggest value in k, 0.7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from {i: 2, n: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 5:59 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4298, 2, 5, 79\/4, 0, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2 + 0 - 3 + 5 + (2 + 2 - 2)*(0 - 1 + 0) + 4 - 3 + 0 + 5 - 6 + 3)*(-1 + 1 + 2)*(0*l**5 - 2*l**5 + 3*l**5).\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - 2 - -57) + -29.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3 + -2*sqrt(833) - sqrt(833)))**2 + (6*sqrt(68)*2)**2 + 2*(1 + sqrt(68))**2.\nAnswer: 8*sqrt(17) + 17427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 11:39 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*t + 306 = 250*t - 138 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 24 = -i, 2*i - 7 = -0*i + 3*m. Put i, 0, 2, 4 in increasing order.\nAnswer: i, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 8319 = -2*c. Let g be ((-174)\/5)\/((-32)\/7655). Let r = g - c. Calculate the common denominator of 89\/8 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*q - 13, v - q + 23 = 33. Let z = 351 - 237. What is the remainder when z is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, p: 2, r: 2, y: 2}. Give prob of sequence ri.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5325897?\nAnswer: 3, 67, 26497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 3*q**2 + 5. Let x be l(3). Suppose o = x*o - 16. Which is the second smallest value? (a) -2 (b) o (c) -13\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 - 3*m - 3. Let t(f) = -9*f + 1. Let n be t(1). Let u(y) = -2*y - 21. Let i be u(n). Let o(c) = -3*c**2 - 2*c - 2. What is i*g(h) + 8*o(h)?\nAnswer: h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*l + l - 177, 4*l = -k + 43. Find the second derivative of -23*v**3 - k*v + 60*v**3 + 26*v wrt v.\nAnswer: 222*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.2. Let q = -2 + 3. Let s = q - 4. Put s, r, 2\/23 in ascending order.\nAnswer: s, r, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 705 = 5*l, -4*v = -9*v - 4*l + 710. List the prime factors of v.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -31002663434128?\nAnswer: 31002663434129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - h. Let k(f) = 0*f**2 - 2*f**2 + 22 - f**2 - 193*f + 189*f + 2*f**2. Determine -k(c) + 2*z(c).\nAnswer: -c**2 + 2*c - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -13\/60*s**5 + 0*s**6 + 0*s**3 - 2\/35*s**7 + 0*s**4 + 0*s - 6*s**2 + 0. What is the third derivative of r(v) wrt v?\nAnswer: -288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66039 divided by -1?\nAnswer: -66039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b646 (base 15) to base 2.\nAnswer: 10101110001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 216 + -219. Let r = -49 + 45. What is the third smallest value in -1, r, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -320 (base 7) to base 16\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265437 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: What is the ten millions digit of 57691079?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -65*d + 70*d + 1, -4*d = 5*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2845380.629 and 0.277117.\nAnswer: -2845380.351883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 57 = -2*i - 11, 0 = 4*i - 3*l + 136. Let a = i - -32. What are the prime factors of (6 - 24)*a\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7\/(l*l**10*l))\/(l*l\/(l**1\/l))**(-3\/7) assuming l is positive.\nAnswer: l**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.27 and 908066.\nAnswer: 908065.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2902961?\nAnswer: 167, 17383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.7 * -310250.\nAnswer: -1458175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 0) + 0 + -67 + 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-8\/5))\/v*v*v*v\/(((v**(-11\/5)*v)\/v)\/v)*v**(-1\/9)*v\/v**8 assuming v is positive.\nAnswer: v**(-113\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 - 3*g**2 - g**3 + 116*g**3 - 176*g**3 + 89*g**3 + (2*g**2 - 3*g**2 - g**2)*(0 + 0 + g).\nAnswer: 26*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 - 0.32. Let v = w + 0.66. Round v to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 12. Let j = 43 + c. What is the highest common factor of j and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1629, -1630, -1631?\n\"Answer: -t - 1628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -1\/2 (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555309*l**2 + 555311*l**2 + 100 - 47 - 53.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 1. Let r = 4 + p. Suppose -4*k + 19 = 2*j - 9, 4*k + 4*j = 36. Calculate the greatest common factor of r and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59637919*-3\nAnswer: 178913757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*((-1*sqrt(70)*-5)\/sqrt(5))\/(((2*sqrt(176) + sqrt(176) - sqrt(176))\/sqrt(8))\/sqrt(11))*-6.\nAnswer: 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 28*t**2 + 153*t + 2. Calculate l(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 6*v - 4. Let q(i) = -i**2 + 5*i - 4. Let p(c) = -3*q(c) + 4*u(c). Determine p(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a millennium in centuries?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31280 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134843 is divided by 310.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(180) - sqrt(180))**2 + sqrt(180) + -1.\nAnswer: 6*sqrt(5) + 1622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 237, 412, 641, 942, 1333, 1832?\nAnswer: 2457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1934243975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -3 (c) 5 (d) 149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4737*i + 4083271. What is d(-862)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 449460 and 32?\nAnswer: 3595680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 + 2748*c.\nAnswer: c*(c + 10992)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -42501, -75179, -107857, -140535?\n\"Answer: -32678*h - 9823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + 114 + (3 - (0 - (-14 - -3))) + 10.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + 3*u**2 + 3*u + 3. Let t be h(-3). Let w be 150*-50*49\/(-6125). What is the greatest common factor of t and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 540*q**4 - 8*q - 28?\nAnswer: 6480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 7*c + 3. Let n be k(7). Let j = 4 - n. Suppose 4*t - j = 3. Let b(p) = -6*p**2 - 8. Let d(i) = -i**2 - 1. Determine t*b(m) - 8*d(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9656 = -577853*d + 577717*d for d.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.9384 + -0.0484. Let z = 2.9 - p. Let q = 0.49 + z. What is q rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-4)*(-36)\/(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2666850997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240 by -120.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116749.\nAnswer: 313, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 + ((-272)\/(-32))\/(3\/2). Which is the nearest to -141? (a) -0.4 (b) -1\/6 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -366, -361, -352, -339, -322?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -215 - -414. Let m(l) = 7*l + 199 - g. Let b(d) = -10*d. Calculate m(b(s)).\nAnswer: -70*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9004*v**2 - 674921 + 674921.\nAnswer: 9004*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 48*x - 41*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 35*y + 4. Let w be v(3). Let j = w - 100. Solve -h - 3*d = -j, -3*h + 5*d = -h + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -593\/398 - 2\/199. What is the second smallest value in -3, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(209)*-1 + (-1*sqrt(209) - sqrt(209))*-6 + sqrt(209)))\/(-1*(sqrt(704) - (sqrt(704) + (sqrt(704)*3*-3 - sqrt(704))))).\nAnswer: 3*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from {r: 4, c: 1, o: 2, e: 6, f: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 255\/238*(-7)\/(-18)*9\/(-5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337886 is divided by 9609.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 64\/7, -3\/4, 0.5, -23.803, -5\/2, 2\/9?\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 26*h + 4. Suppose -6*l = -l + 45. Let z = 18 + l. Calculate the remainder when z is divided by i(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s**3 + 43*s**2 - 4*s - 12 + 85 - 4*s**3 + 0*s**3. Is f(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 + 0.03. What is the closest to m in -2\/3, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 5, -1, -22 in decreasing order.\nAnswer: 5, 4, 0, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -899896815 - -2.562\nAnswer: -899896812.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 8*m**2 - 2*m - 5. Let d(y) = -y - 5. What is the smallest common multiple of l(-8) and d(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -20*f + 84. Let u(r) be the third derivative of 5*r**4\/12 + 13*r**3\/3 - 5*r**2. What is the units digit of u(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 - -1) - (-14 + 14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 1619.\nAnswer: -1619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4291, 4292, 4293, 4294, 4295?\nAnswer: 4296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 36 + 24. Let v be (-4)\/22 - 57\/(-11). Suppose -c = v*r - 27, 4*c - 5*r = 76 + 107. What is the remainder when c is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -3 (c) 4 (d) 0.057 (e) 3\/4 (f) -50 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3218 at most as big as 3447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4342 is divided by 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2365111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4\/9997 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452\/23*l + 450\/23 + 2\/23*l**2 = 0 for l.\nAnswer: 1, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -3, 0.06, -1\/36?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012201100121 (base 3) to base 10.\nAnswer: -643966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - 23*j + 759. Give t(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 4714 = -5066. What is the highest common factor of 96 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.4 + 19.3. Let l be ((-1)\/(-6))\/(1\/4). Let x = 7511\/9 + -835. Which is the nearest to 1\/2? (a) l (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -20*v - 10. Let k be s(-5). Let p be k\/75*(-5)\/(-2). Let d be (4 + (-9)\/p)*0. Solve -2*q + 1 = 3*q + h, -4*h + 4 = d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -59, 0.223, -2.1, -0.093?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/5))**46*(m**(-13))**(-8) assuming m is positive.\nAnswer: m**(704\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 25. Suppose f - 2*f - 1 = v, -2*d - 2*f = -44. Suppose -3*r + 2*j + d = 4*j, -3*r = -j - 29. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5*v - 3 + 8 - 1257*v**3.\nAnswer: -1257*v**3 + 5*v + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 354012 and 708024?\nAnswer: 708024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 1\/24*l**4 + 2*l**2 + 0*l - 7\/6*l**3 + 0. Let n be r(9). Solve -3*q = 2*w - 2*q + 3, w + n*q = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -57.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -82\/90503611?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 8 = 3*b, 3*b + 20*s - 5544 = -5647 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 7*c**2 - 3*c - 1. Let t be n(-7). Let u be (-4)\/(-10) + 3012\/t + 2. What is the greatest common divisor of 18 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -4 (c) 2\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 + -39. Suppose x + z + 5 = p, -x + 48 = -3*z. What are the prime factors of (x\/(-12))\/((-6)\/70)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 + -137.1\nAnswer: -138.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -3*sqrt(180) - sqrt(180)) + (sqrt(180) + -2 + sqrt(180))*4 + 2)**2.\nAnswer: -48*sqrt(5) + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 5101432184 and -3.54.\nAnswer: 5101432180.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*f - 2. Suppose -r + f = -0*u + u, -3 = -4*r + u. Solve -r*q = 1 + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101159171501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/13? (a) -5 (b) -0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/25? (a) 1\/4 (b) 40\/9 (c) -3\/2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118469 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.410254661 plus -54?\nAnswer: -47.589745339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 17964436?\nAnswer: 17964436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 4) in base 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89\/5 + 19. Which is greater: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.1 + 46.5. Let i = t + -68. What is the nearest to i in -1, -7, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.014, -2, 204, -14\/37, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33373 + -33373.16019. What is i rounded to three dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, n: 1, l: 3, o: 3, b: 2, s: 1}. Give prob of sequence olkl.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1651, 4750, 9915, 17146, 26443, 37806?\nAnswer: 51235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = o + 10, -2*o + 4*o = 3*l + 24. Suppose -3*q - 3*c = -15 - 3, 0 = -q + 5*c - o. Solve k - 13 = -q*n + 2*k, -3*n + 3*k + 21 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*(g*g**(-3))\/g)**29)**1)**17)**(-45) assuming g is positive.\nAnswer: g**44370","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 4:33 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 2)*(-5*j + 16*j - 8*j) to t*j + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**3 + 42*v**2 + 66*v - 929. Let d be s(14). Sort d, 38, 3, -2 in increasing order.\nAnswer: d, -2, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -306 and -1.033656.\nAnswer: 316.298736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (819\/35)\/13*64\/72?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -561*t + 30848. Give n(55).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-14 - -5) + 6 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*i = -746*i - 20, -2*i + 15 = 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 672502086 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -33 and 0.102?\nAnswer: 33.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 135 = -2*u + 41, u - 102 = -3*i. Calculate the lowest common multiple of 160 and u.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.047 - 0.096. Let u = 1.029 + j. Let t = -0.98023 + u. What is t rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3\/5, 0.09, 0.204 in decreasing order.\nAnswer: 3\/5, 0.204, 0.09, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70433493?\nAnswer: 3, 13, 281, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 31*w**2 - 39*w - 100. Let t be x(-32). Which is smaller: 125 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5183.72999934 + -5183.98. Let a = g + 0.25. Round a to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.6528 + -6.64. What is v rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 29*h**4\/12 + 145*h**3\/6 + 29*h**2\/2 - 18*h - 1. Let s(q) = q. Let f(p) = 3*i(p) - 435*s(p). Differentiate f(z) wrt z.\nAnswer: 174*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4)\/(w\/w**(2\/5))*w**(-2\/11)*w\/((w\/w**(2\/23)*w)\/w) assuming w is positive.\nAnswer: w**(-5939\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 176800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.7, -3.7, 0.1, 0.3, -0.06, 0.5, -2\/3?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 583400530?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.8 - 5. Let t = y + -1.2. Put -0.2, -2, t in decreasing order.\nAnswer: -0.2, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 + 50*a - 97. Let g be u(2). Sort -4, g, 28.\nAnswer: -4, g, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4428 - -1 - (12 - 9)) + 7 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahhmahhhdamdhxmmazh. Give prob of sequence zddm.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 56, 61, 66, 71, 76?\n\"Answer: 5*z + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + -4 - 1*(sqrt(3) - 3*sqrt(3)).\nAnswer: -4 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 less than or equal to -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 757963 times -0.4\nAnswer: -303185.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 10:23 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -787*z + 791*z = 696. List the prime factors of z.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**8\/28 + 25*h**4\/12 - 16*h. What is the third derivative of s(q) wrt q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-2\/9)*r)\/r)\/r**(-2\/3))**(-19)*((r\/(r*r**(-2\/5)*r))\/r)**41*(r**(-3\/4)\/r)\/r**(-7) assuming r is positive.\nAnswer: r**(-17323\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 8. Which is the smallest value? (a) -6 (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-1\/8)\/x*x)\/((x**(-13\/4)*x)\/x)*(x*x*x\/(x\/(x*(x*x**(-5\/4))\/x)))\/x*x**18 assuming x is positive.\nAnswer: x**(191\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 8:01 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 10. Suppose -j = -3*k - m + 4, -4*k = -2*m. What is the third derivative of 4*d**6 + 2*d**2 - 2*d**6 + d**k wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b + 18 = 8*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549 = -2*p + 533 + 3992. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = -0. Let r(z) = 3*z - 1. Let q be r(-2). Let k be (-2)\/(u\/q) + -1. Solve k = -4*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*n = 300*n - 112 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/((-11)\/(-44))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(2\/5)*h)\/h**(-1\/5))\/(h**7*(h*h*h*(h*h**(-10)*h)\/h*h)\/h))**(-19\/3) assuming h is positive.\nAnswer: h**(-152\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbbmebhemrbhhhhhbmbh. Give prob of sequence mber.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -65 (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s**3 - 3. Suppose -12 = -0*u - 3*u. Let z = -8 - -11. Let i(n) = 8 - 13 + 5*n**z + 7. Calculate u*c(a) + 5*i(a).\nAnswer: a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19285529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67398.53 kilograms to micrograms.\nAnswer: 67398530000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000857402186 to 5 decimal places.\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -234*y**3 + 3*y**2 + y - 1. Does 5 divide q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekjfxfjffejf. What is prob of sequence fej?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*b + n + 5, 3*b - 21 = 5*n. Solve -4*o + 2 + b = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2743 divided by 22.\nAnswer: 2743\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 12*t - 60 = 0. Suppose 0 = 5*p - 25, 201995 + 1447980 = t*l - 5*p. Round l to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47782.56664 + 117.\nAnswer: 47899.56664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = 0.021636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -21. Suppose -b + 77 = -5*t + 2*b, -b = 2*t + 22. Let w = 15 + t. Solve -w*a - 3*a = i, 4*a + 13 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*p + p - 1, -4*p = 5*q - 5. Suppose 3 - 2 = 3*w - z, p*w - 3*z = -5. Solve -d - w*d = 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 3*a - 10. Suppose 0 = a*p - p. Suppose -3*k + p = -24. Solve k = 4*t + 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 2*t - 2. Let r = 9 + -19. Let c be 52\/(-20) + 4\/r. Give q(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6152 and 232238.\nAnswer: 928952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*r = 30, -d - 4*r = 2*d - 10. Let w(b) = 26*b - d*b + 3*b. Let q(f) = -f**2. What is q(w(i))?\nAnswer: -361*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*d**2 + 91*d**2 + 14*d**2 + (4*d - 4*d + 4*d)*(2*d + 2 - 2) + d**2 + d**2 - d**2 to the form m + r*d + q*d**2 and give q.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5193226 times 0.05?\nAnswer: -259661.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4223645 rounded to four dps?\nAnswer: -0.4224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 + (-3627)\/(-496)*-4)*((-140)\/(-2))\/(-1).\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 277733879?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q - 98 = 133. Calculate the remainder when 48 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - (-4 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.882 - -2.882. Which is the closest to j? (a) -1\/7 (b) -458 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32986575 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d**2 + 2*d**2 + 0*d**2)*(-18*d - 33*d + 73*d + (6*d - 4*d + 2*d)*(0 + 1 + 0)) in the form s*d**3 + v + f*d**2 + n*d and give s.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187351 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssrsssssrrsrs. What is prob of picking 4 r?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12084582 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 - 6*u**2 + 2*u**2)*(-2 + u + 0 + 1).\nAnswer: -9*u**3 + 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 + 5*q**2 - 11*q**2 - 9*q**2 + (1 + 2*q - 1)*(-q + q - 2*q) - 3*q**2 + 0*q**2 + 7*q**2.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.7567mm in centimeters?\nAnswer: 5.17567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 11. Let d = 39.1 + -44.78. Let y = n - d. Round y to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1769.035 decades to months.\nAnswer: 212284.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(5) - (sqrt(5) + (sqrt(5) + 4)*1))*-1 + -1))**2.\nAnswer: 96*sqrt(5) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*s**2\/3 + 93059*s\/6 + 6647\/6.\nAnswer: (s + 6647)*(14*s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -i + 5*p - 5, 5*i = -4*p + 52. Suppose -4*s = c, 5*c = 4*s - i + 32. Suppose a = 5*j + 25, -c*a - 5*j = -40 - 10. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*i - 154, 5*i + 120 = a + 308. Let d = i + -25. Does 5 divide (26\/(-3))\/((-8)\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1722429, 3444833, 5167237, 6889641, 8612045?\nAnswer: 10334449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2304 + 2304. Factor -4\/5*g**5 + i*g + 0*g**3 + 4\/5*g**4 + 0 + 0*g**2.\nAnswer: -4*g**4*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178 (base 9) to base 7\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-16)\/40)\/((-2)\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2641259884 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 3, r: 2, u: 2}. Give prob of picking 2 r and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 6) to base 4\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16900 is divided by 158?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -561202*f**2*l - 5*f*l + 64669*l - 1 wrt f?\nAnswer: -1122404*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5672 * -198.52.\nAnswer: -1126005.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*45\/(-180)*12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 6:49 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 - 5*h\/3 + 112.\nAnswer: -(h - 16)*(h + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7229, -7958, -8691, -9428, -10169, -10914, -11663?\n\"Answer: -2*u**2 - 723*u - 6504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4449*w - 16940*w + 4386*w - 5395*w - 10182*w to t + y*w and give y.\nAnswer: -23682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 664895 and 4522385?\nAnswer: 5495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 2*q - 4*q - 96 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 + 12*f - 12. Let u(y) be the second derivative of y**3\/6 - y**2\/2 - y. What is -h(w) + 12*u(w)?\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 6:49 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 12 = 84. Let s be (5000\/h)\/((-2)\/(-126720)). What is s rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6235*k - 81293 - 317747 for k.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((470\/30)\/(-47))\/(3\/(-15)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) 0.2 (c) -3\/2 (d) -2577\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/27 and 13\/162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + -4 + 2*sqrt(637) + ((sqrt(637) - -2*sqrt(637)) + -1)**2.\nAnswer: -28*sqrt(13) + 5738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 - (-4)\/(-5)*(-5)\/2. Suppose 4*k = 3*z + 6 + 11, 3*z + 9 = 0. Suppose k*p = -3 + l. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (-4 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417160 divided by 1.\nAnswer: 417160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -23. Is 8 a factor of 553\/49 + 4\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 624586 divided by -6\nAnswer: -312293\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.43 - 0.13. What is the nearest to 0 in x, -5, 5\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-1 + -1)) + 0. Suppose -f - 4 = -6. Solve d + f*y = -0*y + r, 0 = -5*d + 3*y - 37 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*j = -7*j - 428358. What is the thousands digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.699 + 0.999. Let w = 0.83 + -0.9. Sort c, w, -0.1.\nAnswer: -0.1, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 + 48*q - 112 - 140*q - 58*q.\nAnswer: -150*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = z - 108. Calculate the greatest common divisor of z and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1451817 is divided by 65990?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 276*o = -1188 - 2676 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6318 = -36*g - 5*g - 13*g. Calculate the greatest common factor of 65 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2667093 is divided by 666735.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/46*(-144)\/12)\/((-33)\/12)\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 470*t**2 + 7895*t - 30520.\nAnswer: -5*(t - 8)*(t - 7)*(t + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 13*f**3 - 32*f**2 - 20*f.\nAnswer: -f*(f + 1)*(f + 2)*(f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124 - -136. Suppose n*x = 16*x - 420. List the prime factors of x.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117834 rounded to the nearest one thousand?\nAnswer: 118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 117 = -4*a, -a - a - 60 = -2*b. Let i be 17\/(-4)*(5 + -1). Let k = i - a. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**3 + 20*i**2 - 7 - 13*i**2 + 3*i**3. Give u(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q\/q**(-20))*q*q**(-1\/10))\/(q\/(q**(5\/4)\/q))**(-14\/5))**(-31) assuming q is positive.\nAnswer: q**465","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*d**3 + 31*d**3 + 21*d**3 + (d - 2*d + 4*d)*(4*d**2 - 4*d**2 - d**2))*(3*d - 3*d + 3*d) to w*d**2 + k*d**4 + h*d**3 + u + r*d and give k.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -182, -364, -546?\n\"Answer: -182*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -15\/19, -4 in decreasing order.\nAnswer: -15\/19, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 24. Suppose y = 3*w - 9*w + 486. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 6*c**2 + 3*c - 13. Let d be k(6). Solve -z = -d*n - 27, -5*n - 17 = 5*z - z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9\/400 + 191\/400. Is -1674 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (49 + 102 + 42)*(0*z - 6*z + 4*z) in the form r + i*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*i + 5, -o + 3*i + 2 = 0. Suppose 5*n + 4695 = o*t, 0*t + 4*t = -3*n + 3742. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.015037? (a) -1\/17 (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*f**3 - 11 - 2579*f**3 + 9.\nAnswer: -2187*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -33314 (base 7) to base 2\nAnswer: -10000011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341438491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -1\/240*j**5 - 4*j**2 + 0*j + 0 + 0*j**4 + 1\/24*j**3. Factor r(v).\nAnswer: -(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14047 + -14046.98. Put m, -2\/3, 31\/19 in descending order.\nAnswer: 31\/19, m, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1152)*-1 + -1 - (sqrt(1152)*-3 + -4)*5) + 3)**2.\nAnswer: 13440*sqrt(2) + 226192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 + -72. What is the first derivative of 37 - 17*c**2 + 28*c**2 - 6*c**u + 2*c**4 wrt c?\nAnswer: 8*c**3 + 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 a when four letters picked without replacement from mwakacmamrcacrkmmaa?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/4 of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 20 = -2*r + 79, 3*r - 146 = 4*c. What is the lowest common multiple of 35 and r?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*((8*k**2 + 0*k**2 + k**2)*(-k**2 + 4 - 4) - 5*k**4 - k**4 - k**4).\nAnswer: 48*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380672049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/5)\/((-20)\/55). Let g be 1\/(v\/2 - 3 - 2). What is the third derivative of 52*i**g + 22*i**6 - 13*i**2 - 18*i**6 wrt i?\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316, 1448, 3212, 4976, 6740, 8504?\nAnswer: 10268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29, -67, -117, -167, -205?\n\"Answer: 2*d**3 - 18*d**2 + 2*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - -4*sqrt(228)*-3 - sqrt(228)*-4*-4)\/(sqrt(72)\/(sqrt(42)\/sqrt(7)) + sqrt(108)*-4).\nAnswer: 27*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52167.\nAnswer: 3, 17389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5 = -3*w. Let l(r) = r**3 - 2*r**2 + 2*r. Let v be l(2). Let p = 2 - v. Does w = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21296 - 63887\/3. Let n(j) be the second derivative of x*j**3 - 13*j + 0 + 0*j**2. Let o(y) = -29*y**2. What is n(o(p))?\nAnswer: -58*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(637)*5)**2 + -4 + 1 + 2*(0 + (sqrt(156)\/(sqrt(36)\/(sqrt(9)\/sqrt(3))))**2).\nAnswer: 15948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 - -83. Let w = i + -10. Let p = -5 - -4.8. Which is smaller: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z + 1. Let b be (-34)\/(-12) - 2\/(-12). Let h(w) = 4*w + 1. Calculate b*l(u) - 5*h(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -12 + 11 - -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/4))\/o*o)\/o**(-5)*o*o*o\/(o**(2\/3)\/o*o)*o*o**(2\/15)\/o assuming o is positive.\nAnswer: o**(523\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406987426 is divided by 5491.\nAnswer: 5488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4115.157759 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 1. Suppose 5*s + n - 11 = -3*n, -3*s - 4*n + 5 = 0. Let o be l(s). What is the highest common divisor of 16 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - s - 8 + 4*s.\nAnswer: 3*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1 (c) 2\/11 (d) 1\/16 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -34. Suppose w*x + 12 = 2*t, 2*t = -3*x + x - 4. Factor -3*j**4 + 6*j**4 + 0*j**3 - 3*j**3 - 5*j**2 + 3*j**5 + t*j**2.\nAnswer: 3*j**2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*h - 6, 3 = o - h - 0*h. Let t = 0 - 0. Calculate the remainder when (-22)\/6*(t + -3) is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.92 + 0.92. What is the closest to -2 in 3, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3283 smaller than -2\/117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*x - 0*x + 5*z, -z - 3 = 5*x. Factor 0*n - 1\/6*n**3 + x + 1\/6*n**2.\nAnswer: -n**2*(n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61395 is divided by 162.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-10))\/(1276\/9570)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60.2 - 15.9. Let z = n + -44. Let h = 1 - -3. Which is the third biggest value? (a) h (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*x = 3*n + 20, 4*x - 20 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 6:48 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**3*t - 22*m**3 + 581*m**2*t - 718*m**2 - 14*t wrt t.\nAnswer: 2*m**3 + 581*m**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*c - 1 + 5237. What is the remainder when c is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -26*k + 1. Give f(-2).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/48*-3 - 231\/(-14)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54 - 8 - -5) + -8 + (13 - 5).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a + 422 = -s, 4*s - a = -1724. Let m be -2*3\/(-12)*s. Round m to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y = 0, -2*i + y = -16. Suppose -5*p = 5*d - 55, i*d - 2*p = 3*d + 20. 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: Let v(d) = d**3 + 5*d**2 - 8*d + 4. Suppose 0 = 5*w - 2*f + 30, 0*f + f = -2*w - 12. Determine v(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -10*b**3\/3 - 31*b**2 - 13*b - 4. Let c be u(-6). Sort 7, -2, 4, c.\nAnswer: -2, c, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 16 = 6*l - 9*l, l = 4*w + 18. What is the nearest to 2 in l, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1574870 - 4*v - 1575407 + v)*(-3 + 4 + 5) in the form m + l*v and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 754 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**5\/19 + 417340*p**4\/19 + 417286*p**3\/19 - 10850956*p**2\/19 - 35056536*p\/19 - 30048336\/19 = 0.\nAnswer: -208669, -3, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -386*c**2*i**2 - 3251*c**2 - 4*c*i**2 + 2*i**2 wrt i.\nAnswer: -772*c**2*i - 8*c*i + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2\/3 - 2*t\/3 - 1 = 0. What is t?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 113?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 17*b**2 - 14*b**2 + 8 - b**3 - 13*b + 7*b**2 + 0*b**3. What is the remainder when g(5) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + (21252\/(-27324))\/(-1*1\/18).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 624351 and 18296?\nAnswer: 4994808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-3))\/(16\/40)*-10*9\/1350.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 142*x**2 + 388*x - 1139. Is i(-137) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -746723565?\nAnswer: 746723571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - 12?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151583?\nAnswer: 29, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -622*h**5 + h**2 + 39.\nAnswer: -37320*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*a**3 + 81*a**3 - 177*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 201691180 a multiple of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k**(6\/11)*k*k)\/k*k)\/k**36*k**(-6)\/((k\/(k*k\/((k*k*k\/(k\/(k*k\/k**(-17\/3))))\/k)))\/k) assuming k is positive.\nAnswer: k**(-1456\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5512800 and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 v, and 1 e when three letters picked without replacement from {o: 2, v: 1, e: 1, r: 2, h: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/864 and -65\/504.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k - 45*k - 33 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 168887*v**2 - 7*v - 4. Let f be h(-3). What is f rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14359621*x**2 - 176600*x - 20 wrt x.\nAnswer: 28719242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 2 - (-70 - -19 - (37 + -15 + -26)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-165) + (-1956)\/(-616) + 12\/(-14). Sort -2, 0, 244\/7, n in descending order.\nAnswer: 244\/7, n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -15858844?\nAnswer: -15858844.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21081, 21129, 21285, 21603, 22137, 22941, 24069?\n\"Answer: 9*i**3 - 15*i + 21087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 - 11 = 0. Let z(t) = -2*t - 4. Let c be z(r). Suppose c*n + 66 = -426. What is n rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200313403 - -1000?\nAnswer: 200314403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23383a (base 14) in base 15?\nAnswer: 18ab9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18904\/11 or 1718?\nAnswer: 1718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -71, -157, -243, -329?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 59*y**5\/6 + 113*y**4\/4 + 1148*y**2. What is the second derivative of p(d) wrt d?\nAnswer: 1180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0 + c + 5\/12*c**4 - 2*c**2 + 0*c**3. What is the first derivative of p(z) wrt z?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + (6 - (10 + 2)) + 7 - (24 + -22)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*i + 45 = 0, -46801*h + 41 = -46794*h + 8*i - 9*i for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 48 - 158 = 0. Let x(t) = t**3 + t**2 + 3*t + 24. Let o be x(-3). Let q(j) = 13*j**2 - 5*j - 2. Calculate the remainder when q(o) is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**3*v**2 + 1092*s**3*v - 57*s*v**3 wrt v.\nAnswer: 8*s**3 - 342*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r - 19. Let g be h(-4). Let k be 2 - (g - 0) - -127. Calculate the highest common factor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x - 115 = 0. Let a = x - -88. Calculate the remainder when a is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12241794.\nAnswer: 2, 3, 1087, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3256 and 2095236.\nAnswer: 4190472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.09 (c) 5 (d) 5.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.2*-31.\nAnswer: 347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104803485 or -104803481?\nAnswer: -104803485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -30, -3*s + 3*z = 6*z + 3. What is the closest to s in -4, 1, -2\/25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2240)\/(-3850) - (1 + (-18)\/22). Let l = -1 + 4. Which is the smallest value? (a) f (b) -2\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2. Let q be 1\/(-1) + 3 + -2. Suppose -2 = -q*h - h. Let y(t) = 10*t**2 - h*t**2 - 2*t**2. What is a(y(v))?\nAnswer: -108*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 8*f**2 - 11*f + 30. Let u be g(6). Calculate the highest common divisor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 333*f**2 + 14149*f + 330. Determine p(283).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438*r = -404*r + 170. Let j(d) = 3*d**2 - 6*d + 2. Let p(x) = -4 + 0 + 6 + 2*x**2 - 5*x. What is r*j(n) + 6*p(n)?\nAnswer: -3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + 14. Suppose 2*n - 2*m - 116 = 0, -4*n + 5*n - h = -3*m. Calculate the greatest common factor of n and 285.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -30. Let o = -10 - n. What is the biggest value in 0.2, o, -4\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-7 - (2 + -8 + 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 205 * -176240.\nAnswer: -36129200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.455, -4, 3\/4, 0.\nAnswer: -4, 0, 0.455, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a minute in seconds?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 715 + -698. Suppose -4*g - 5666 = -j*n + 12*n, -2*n + 3*g + 2272 = 0. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/9*w**2 + 1\/9*w**3 - 1\/9*w**4 - 4\/9*w + 0 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**5 + 7847*t**4 + 689938*t**3 + 953680*t**2 + 271584*t = 0.\nAnswer: -1476, -92, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjpyjpjyjjjj. Give prob of sequence ppjy.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (56\/(-20) - 2)\/(1\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2699608*p**2 + 12100301*p?\nAnswer: 5399216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 15. Let t be a(15). Suppose -5*h = -3*b - 84, h + 140 = -5*b + 5*h. Let p = 31 + b. Solve -4*d - 9 - p = t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.23 + -0.14. Let p = -4.91 - q. Which is the closest to 1? (a) p (b) -0.2 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g = 19*g. Suppose g = 3*d - 3*k - 6, -4*k = 4*d + k - 35. Solve d*i = 4 + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28263 + 60177. Is (-1)\/(4 - f\/7978) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2317*k - 70. Let u(w) = 8*w - 2. Calculate 4*j(z) - 140*u(z).\nAnswer: -10388*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 11*p + 1\/2*p**5 + 1\/2*p**4 - 3*p**3 + 0*p**2 + 0 + 1\/15*p**6. Determine u, given that c(u) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2. Suppose -196 = 2*r - 4*r + d, -5*d + 10 = 0. Let t(q) = -106*q - r*q + 5 + 12 + 209*q. Give t(j(s)).\nAnswer: 12*s**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + z**2 - z - 1. Let q(f) = 16*f**3 - 72*f**2 + 16*f + 40. Let j(m) = -4*i(m) - q(m). Find p such that j(p) = 0.\nAnswer: -3\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2668 = 3*o - j - 2651, -16*o - 3*j = 99 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86\/3 + 949\/33. Let n = 1.2 + -1. Sort 5, h, n, 1.\nAnswer: h, n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -42*t + 32. Determine d(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcv when three letters picked without replacement from {h: 2, v: 2, i: 2, c: 1, g: 3, z: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - r**2 + r - 37. Let f be d(0). Let w(p) = 2*p + 71. Give w(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14, 0, 1, -3 in descending order.\nAnswer: 14, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7))**(-3\/11)\/(g\/(g**3*g*g))**(1\/53) assuming g is positive.\nAnswer: g**(626\/4081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2)*n\/(n*n**(-24\/7)*n*n)*(n*n**14)**(-5) assuming n is positive.\nAnswer: n**(-529\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7099c9 - -1?\nAnswer: 7099ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1815617 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1148 + 0.1578. Let k = 45.076 - 45. Let n = h - k. What is n rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-28)*322\/(-552).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43025.1 rounded to the nearest 1000?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8746*k**2 - 74*k - 3 wrt k?\nAnswer: 17492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 - 1)*(3*m**2 + m**2 - m**2) + 308 + 2*m + 40*m**2 - 308)*(7 - 7 - 3*m).\nAnswer: -75*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 4*v**2 + 3*v**3)*(-8 + 36 + 112).\nAnswer: 420*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 8\/7)*749749\/(-32956)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 994526917?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 less than 3718\/207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(475)*-6 + -1) + (-2*(sqrt(19) + 0) - (sqrt(2299) + 0) - (sqrt(38)\/(sqrt(2)*-2) + -3)))**2.\nAnswer: -1855*sqrt(19) + 1334471\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**6\/120 + 2*l**5\/15 + l**4\/4 - 2*l**3\/3 + 8*l**2. Let g be c(-7). Suppose -12 = -g*o - 6. Which is smaller: o or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 9 + 9 - 27 + 534*o**2 + 4 in the form y*o + q + u*o**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000421008 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 597624, 597614, 597604, 597594?\n\"Answer: -10*y + 597634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - f)*(0*f**2 + 5*f**2 + 10*f**2) - 1 + 1 + f**3 + (-f**2 + f**2 + f**3)*(-3 - 4 + 5) + 0*f**3 - f**3 + 0*f**3 - f**3 + 3*f**3 - 3*f**3.\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 66 = -3*a, -2*a + 7*a + d = 92. What is the remainder when a is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1 = -2*p + 9, 0 = -3*q - 2*p + 10. Suppose 3*k + 7 + 5 = -4*u, 2*k = 2*u - 8. Let y(f) = -4*f - 2 + u + 0 + 3*f. Calculate y(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.3385 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122101010100 + 2?\nAnswer: -122101010021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 + 117.0000126. What is p rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12394700231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2651, 25 in increasing order.\nAnswer: 2, 25, 2651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470346 is divided by 2066?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4) + -1 + (-84)\/112. Sort 5, -5, x, -0.2 in descending order.\nAnswer: 5, -0.2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(65 - 508 - 1622)*(-4*l**3 + 4*l**3 - 2*l**3).\nAnswer: -4130*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/36*945\/(-693)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -344, 9, 318, 589, 828, 1041, 1234, 1413?\nAnswer: 1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.793 + -0.093. Let o = 3.70013 - s. Round o to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y**2 - 6. Let q(f) = f**2 - 3*f - 3. Let w(r) = r + 1. Let o(a) = -q(a) - 3*w(a). Give o(i(p)).\nAnswer: -64*p**4 - 96*p**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -73*y - 7. Let l be t(-3). Let x = l - 50. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -1\/32*y**6 + 0 - 15\/4*y**3 - 5\/12*y**5 - 5*y**2 - 12*y - 65\/32*y**4. Factor f(m).\nAnswer: -5*(m + 3)**2*(3*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -2afd?\nAnswer: 2b02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (70 - 196) + 176 + 55?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjv when three letters picked without replacement from {v: 2, y: 1, c: 2, g: 1, j: 1, k: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 - 3*q**2 + 4*q**2 + (0 - 2 + 0)*(-79*q + 581 - 581)*(q - 4*q + 12*q).\nAnswer: 1424*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 7:33 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -538*k**2 - 88*k - 193. Let z be c(-2). Do -2167 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen eighths of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/((sqrt(10) - sqrt(10)*-1)*-6).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 2\/9 (c) 0.3 (d) -2\/3 (e) -28 (f) 170\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/720)\/(2\/9)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/2)\/(((((j\/((j*(j\/(j\/(j\/(j*(j**(-3\/7)*j)\/j))))\/j)\/j*j))\/j)\/j*j)\/j)\/j)*(j\/j**1)**(-24) assuming j is positive.\nAnswer: j**(27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -446*h**2 - 147*h**2 + 44*h**2 + (3 + 2 - 3)*(-1 + 1 + 2*h**2) to the form d*h**2 + l + b*h and give d.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-80))\/((-16)\/10)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 divided by 9600?\nAnswer: 33\/1600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 30 + (-24 - -5) + -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 3142, 4 in increasing order.\nAnswer: -26, 4, 3142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -156937\/131 + 1198. Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 51 = 4*k + 2*m, 2*m = -6. Let y be (-9425)\/495 - (-5)\/((-330)\/12). Let o = y + k. Which is the nearest to -0.4? (a) 0 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1736 in -0.1, 0.3, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/9 + 32008600*n\/3 - 128068809245000.\nAnswer: -2*(n - 24006450)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-8))\/(-1)*(-2)\/(-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**3 - 27*s**2 + 273*s + 2264. Give t(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 9:22 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 127 = -61 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11110000111 (base 2) to base 12\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {q: 3, d: 2, w: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 141585265 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -39*n**4 + 28*n**2 + 127. What is the second derivative of v(z) wrt z?\nAnswer: -936*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -194*m**4*w**2 + 5*m**4*w - 15*m**2*w**2 + 470*m**2 + 2*m*w**2 - m wrt m.\nAnswer: -4656*m*w**2 + 120*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5546444 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(312)\/(sqrt(6) - -2*sqrt(6)))\/((sqrt(48) - sqrt(48)*2)\/sqrt(12)))**2 - (3 + 1*(sqrt(637) + -1))**2).\nAnswer: -5801\/9 - 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 7:07 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (3 + 2 + -3) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 58*h**2 - 151*h + 767. Calculate z(-55).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**3 + 35 - 35)*(3 - 5 + 0) - g**3 + g - g - 2*g**3 + 1 - 1.\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 41 - 9*i**4)*(6 - 3 - 4)*(-2 - 3 + 4)*(-4 + 5 - 3).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-1 + 1 - -3). Suppose 14*g = 12*g - 8. Let m = 1.115 + 2.885. What is the third smallest value in g, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b - b - b)*(-b**2 - b**2 + b**2) + (3*b**2 + b**2 - b**2)*(-3 + 3 - b) to m*b + x*b**2 + a*b**3 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Suppose -q*g - h = -0*g - 133, 0 = -4*g - 3*h + 143. Suppose 3*w - g = -w. Solve 2*n + 0*n = -3*m + w, -3*n = -m - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -1 - -4 - (3 + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -12045*s - 108406. Determine r(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Suppose -j - 22 = -3*b - 3*j, 0 = 3*b + 3*j - 27. Suppose -b*s + 6 = -2. Is l > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -26 + (-3266879)\/(-145) - 12\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 4*y = 65 - 45, y = 3*v + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 30 = -6*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 211*b + 2581. What is f(-13)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/476448 and 17\/119112?\nAnswer: 476448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5789, 5784, 5781, 5780?\n\"Answer: c**2 - 8*c + 5796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*g - 29, -31 = -2*a - 5*g + 4*g. Suppose -a*h - 56 = -4*h. Let c = -9 + 9.2. What is the smallest value in c, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4835 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5551 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.6 - -4. Let d(q) = 3*q - 9. Let p be d(6). Let i = 10 - p. Which is the nearest to i? (a) -0.4 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 41\/2 of a millimeter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -12. Let u(r) = -6*r - 2. What is the tens digit of u(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, w: 1, p: 1, m: 1}. What is prob of picking 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.36 or 0.0259?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {w: 1, z: 1, n: 2, x: 1, p: 1, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 817831 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 32978 and 0.0816065349.\nAnswer: 32978.0816065349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-383)\/(-5) + 57\/(-95). Let q = -76 + p. Solve q = k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*m + 1 + (-3 + 4 + 1)*(4*m - 4*m - m) - 3*m - 3*m + 3*m - 5*m + 3*m + 7*m)*(4*m + 2*m - 4*m) as w*m**2 + t + a*m and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0*t - 2*t)*(50 + 13*t - 50).\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 7859578\nAnswer: -4\/3929789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -102, -146, -222, -336, -494?\n\"Answer: -t**3 - 10*t**2 - 7*t - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nsonsssf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 20, 550, -8 in ascending order.\nAnswer: -8, -6, 20, 550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -157*a + 314. Let s(r) = -1. Calculate p(q) + 314*s(q).\nAnswer: -157*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 454661607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 358870 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -3, -1\/6, 2, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 2\/87, -21, 165, 4?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 - 17*u + 6. Let z be x(9). Suppose z - 448 = -4*v. Calculate the smallest common multiple of v and 4.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 3*u - 8, q - 2*u - 19 = -17 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 8. Suppose -w*s + 24 = -s. What is the units digit of 18\/8 + (-3)\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)*-2 + sqrt(21))*5 - sqrt(210)\/(sqrt(30)\/sqrt(3)))\/(4*((sqrt(147)*-2 - sqrt(147)) + sqrt(147))).\nAnswer: 3*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 12:52 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 + -74. Suppose d + 4*d = -i*l - 48, -3*d + 3*l = 18. Does -11 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28, 29, 30, 31?\n\"Answer: s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 8*u - 3 = 5*s, -6 = -2*u + 4*s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/5)\/i**(-1))\/((i\/(i**(2\/3)\/i*i))\/i**(-2\/23)) assuming i is positive.\nAnswer: i**(407\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 131*x - 41*x + 1620. Let j = 34 - 92. Let f = x - j. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 268, -10 in decreasing order.\nAnswer: 268, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-16 - -7 - -5)*19\/(-2) is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*u**3 + 157*u**3 + 2*u**2 - 11*u - 48*u**3 - 2*u**4 - u**2 - 53*u**3 to l*u**4 + d*u**2 + h*u**3 + g + k*u and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346926 a multiple of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 8*n - 4. Let z be m(-7). Let s be 3\/(-9) - (-19)\/z. Suppose y + y = s. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 20*h - 10. What is c(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 5*p + 11 + 22, -w = 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -69*j - 1048. Let w be m(-24). Calculate the highest common factor of 38 and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503 (base 10) to base 11.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -1\/5*b**6 - 5\/6*b**4 + 0 - 7\/10*b**5 + 2*b + 0*b**2 - 1\/3*b**3. Suppose s(d) = 0. Calculate d.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aanaaanaa. What is prob of picking 1 n and 2 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3\/5, 0.17002, -1?\nAnswer: 0.17002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296487792.\nAnswer: 2, 3, 167, 12329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.784 minus -240.3?\nAnswer: 241.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-12)\/(a\/a**(3\/11)))\/(a**8*a\/(a*a\/a**(-6)*a)))**(-27) assuming a is positive.\nAnswer: a**(3780\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 9*p + 1. Let g = -18 - -10. Let l be v(g). What is the units digit of (-6)\/(-8) - l\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, 7 in descending order.\nAnswer: 7, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-676)\/4278 + 388\/3007\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**2 + 0*r - 4 - 5*r**2 - 2*r + 7*r. What is c(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 987 = -f, -x - 2*x - 2*f = -978. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2 + 3*b**3 + 7 - 7*b - 19 - 3*b**2 + 0. Let g(t) = -t**3 + t**2 + 2*t + 5. Let s(a) = 7*g(a) + 2*o(a). Let x = -2 - -2. Calculate s(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -6, 0, 20, 60, 126, 224?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8278455.3 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - -1)\/(8\/(-12)). Let m = -2 - j. Solve f = m*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17952\/23 or 781?\nAnswer: 781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + w + 4204 = 0, 4*v = -v + 2*w + 5258. Is 50 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u + 45 = 21 - 145 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -53.955 and -382495.\nAnswer: -382548.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 192632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7833463 millilitres in litres?\nAnswer: 0.0007833463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 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: Solve -x**3\/4 - 865*x**2\/4 - 78079*x\/2 + 326284 = 0 for x.\nAnswer: -602, -271, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8233 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 11:34 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 3)*(4*g + 4*g - 3*g + (2*g - 4*g + g)*(0 - 2 + 3)) + g + 12*g + 0*g to the form n + a*g and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71791683 at least as big as 71791680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*o - 4*u, 0*o - 14 = -3*o + u. Factor -16*v - 2 - 35*v**3 - 18*v**4 + 4*v**3 - 44*v**2 - 17*v**o.\nAnswer: -2*(v + 1)**2*(3*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Let w = 8 - b. Suppose d - w = -0*d. Solve 0 = -d*r - 10 - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + 4 - (22 - (-1 - -2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1808.091 to the nearest ten.\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 - 0.6. Let q = -1.32 + o. Is q greater than or equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 61*h - 59. Let b(y) = 2*y**2 + 31*y + 29. Let x(t) = 11*b(t) + 6*i(t). Let j be x(-11). What is the units digit of 0\/(-4) - (-3 - j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - 35*q - 43. Determine c(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 + -430 + (2 - -7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**9\/3024 + p**7\/280 - p**6\/180 - 2*p**3\/3 + 7. Let u(k) be the third derivative of a(k). Factor u(j).\nAnswer: -j**2*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m + 8*m + 6*m - 38*m + 11*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 - 4101\nAnswer: -4101.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97485 + -97485.41137. Round v to two decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u - 5. Give p(7).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 1. Let f be p(-4). Let a be f\/4*(-224)\/(-63). Which is smaller: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*x**2 + 32*x**6 - 19*x**2 + 47*x**2 wrt x?\nAnswer: 3840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 5. Let n(t) be the first derivative of -t**3\/3 - 2*t**2 + t + 1. Let r be n(-4). Let c(l) = l**2 - l. Let d be c(r). Calculate k(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/15)*o\/o**(-7)*o*o**0*o\/(o\/o**(-3)*o) assuming o is positive.\nAnswer: o**(77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16857 + -16676. Calculate the remainder when x is divided by (-342)\/(-26) - (-20)\/(-130).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkl when three letters picked without replacement from {k: 2, l: 11}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.034111 and 0.028.\nAnswer: 0.000955108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 10*y**2 - 2*y + 3. Is o(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21000 - -21000.1. Which is the closest to h? (a) -4 (b) -44 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.337, 2, 5, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2552 and 46024?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.956 + -7.956. Let g = 49.6 + -50. Which is the second biggest value? (a) m (b) 2 (c) g (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 3)*(-7 + 0). Let c(g) be the second derivative of g**4\/12 - 7*g**3\/6 + 5*g**2 - g - 26. Let h be c(t). Solve -4*z = z - h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -3773*k**4\/24 + 9*k**3 - 3*k**2 - k. Is s(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-52) + 2136\/(-26). Let a = -80 - x. Suppose -2*k - 3*k = -4*w - 112, -w = -a*k + 46. Calculate the greatest common divisor of k and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x - 19. Suppose 0 = -15*i + 18*i - 54. Suppose -7*k = -4*k + i. Does 17 divide j(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/5*(-15)\/(-9). Let i be 5\/d - 295\/110. Let x = -0.04 - -5.04. What is the second smallest value in i, -3, -1\/2, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 447479161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - -54. Let j be 42\/11 + 14\/w. Suppose 2*t - 3*v = 17, -7*t + 65 = -2*t - 3*v. Calculate the greatest common factor of j and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8389 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_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: Calculate 0 + 13 + -10 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/47 (b) 8\/7 (c) 77 (d) -2\/3 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -243, -244?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*a + 6 = 0, 7 = -w + 2*a + 13 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9*-56876.62\nAnswer: 511889.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*(d\/(d*d**(-7)))\/d)\/(d\/(d**(-1\/3)*d*d*d))*d**(2\/15)*d**12)**(-2\/23) assuming d is positive.\nAnswer: d**(-218\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -15777.679?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13002 (base 10) to base 12.\nAnswer: 7636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -81*j. Let n(d) be the first derivative of -2*d**3\/3 + 48. Determine n(c(u)).\nAnswer: -13122*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.52\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 59*j - 11*j + 44*j + 1932 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 23*u + 100. Give g(-7).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 398, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-66)\/15*(-55)\/(-876) and -31\/22.\nAnswer: 4818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1794922 divided by -1\nAnswer: 1794922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.566604cm?\nAnswer: 0.00004566604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 + 25*c + 79. Let o be j(-7). Let i(n) = -n - 32603 + 6*n**o + 32603 + n. Let z(a) = -2*a + 5*a + 3*a. What is z(i(g))?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) 0.12 (c) -0.015 (d) -0.145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 - 2*s**5 + 7*s**5 + (-50*s**2 + 19*s**2 - 17*s**2)*(3*s**3 + 2*s**2 - s**3 + s**2).\nAnswer: -91*s**5 - 144*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 20, 166*d - 172*d - 92 = 4*w for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 - 1)*(-5 + 1 + 3) + (-1 + 4 - 1)*(-4 + 3 + 3))*(9*k + 3*k + 12*k)*(-1 + 1 - 1).\nAnswer: -168*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.195585886857 and 0.1.\nAnswer: -0.095585886857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*p)*(-p**2 + 3*p**2 - p**2) - 915504*p**2 + 915504*p**2 + 1 - 1355*p**3 to the form x*p**3 + d*p**2 + t*p + n and give x.\nAnswer: -1353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -30*d**2 - d - 1. Let p(a) = -a**2 + a + 1. Suppose 497*h - 253*h - 11 = 255*h. Determine h*l(b) - p(b).\nAnswer: 31*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -11*b**3 + b**2 - 2. What is the remainder when f(-2) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2030993 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32684352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k - 2*k + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pccpmcmppcppcp. What is prob of picking 3 c?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1110 + 211331?\nAnswer: 210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 4*t + 4*t)*(-11 + 7 - 764*t + 687*t).\nAnswer: -77*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d - 267. Calculate the remainder when 2\/(-8) - d\/(-12) is divided by 10\/(-35) - 86\/(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7004.\nAnswer: 2, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((1 + -7)\/(-42))\/((-36)\/126). Which is smaller: u or 1.0197?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 9*f**2 - 2*f - 9. Let l(o) = 5*o**2 - 5*o - 9. Let n(s) = -10*s**2 + 9*s + 17. Let x(u) = 7*l(u) + 4*n(u). Give 6*j(t) + 11*x(t).\nAnswer: -t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t, 2*v + 48 = t + 58. Solve 0 = -4*s + v*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 17*i. Suppose 2 = -3*a + 20. Suppose 0 = -3*o - 12*o + 195. Suppose 0 = -u - o. Let l(x) = 8*x. What is a*k(d) + u*l(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 270 - 38744?\nAnswer: -38474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 10, -41 in descending order.\nAnswer: 17, 10, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -306*l + 304*l - 5*j, 19 = l + 5*j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -382490339 or -382490341?\nAnswer: -382490341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.14 plus 0.32966?\nAnswer: -99.81034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 24\/(-6) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 3:10 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -0.11?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-2) + (-2)\/(-4). Let n(d) = 3*d**2 - 5*d + 4. Let x(w) = 8*w**2 - 14*w + 11. Calculate z*x(q) - 11*n(q).\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-370)\/28)*7\/6 + (-31)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9674 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/195*(-2300)\/23?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42210 (base 5) to base 3.\nAnswer: 10211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11989580 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*k - 336*k - 611*k - 414*k - 2*k**2 + 196*k**3.\nAnswer: 196*k**3 - 2*k**2 - 1757*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258158?\nAnswer: 2, 29, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Solve h*z = 4*m - 4, 3*m + 0*m = -5*z + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**3 + v**4 + v**2 + 0*v**2 + 4*v**3 - 2 + 0*v**2 as f*v**2 + s*v + m + i*v**3 + c*v**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 21*p + 5. Let i be h(-21). Let w be (-1)\/6 + ((-93)\/(-18) - i). Suppose 3*x - o - 3 = 0, -1 = -x + 5*o - w. Solve m + 0*m - x = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 15) to base 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 0 + 1\/60*m**5 - 2*m + 3\/2*m**2 - 1\/12*m**3 - 7\/96*m**4. Let c(f) be the first derivative of a(f). Factor c(g).\nAnswer: (g - 2)*(4*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4 + 32. Let d = 73 + -61. What is the greatest common divisor of d and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2 = 4*u. Suppose 64 + 16 = 5*y. Suppose -u*n + 5*s = -n + 13, 2*n - 5*s + y = 0. Put -1, n, 3 in increasing order.\nAnswer: n, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 30 = -4*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 28. Let q(a) = -119*a**2. Determine q(y(g)).\nAnswer: -476*g**2 + 13328*g - 93296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 46*r**2 + 41*r + 42. Determine h(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*1)\/sqrt(11)*-1)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 7*q**2 + 7*q - 1. Let s be y(6). Let l = -8 + s. Is (30 - -4) + 1*l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 717, 1444, 2171, 2898, 3625, 4352?\nAnswer: 5079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*z - 53*z - 2160 = 0. What is the greatest common divisor of z and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.15955 litres in millilitres?\nAnswer: 52159.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w. Let b be 6\/9 - 4\/(-3). Let j(g) = -g**3 - 6*g**2 + 7*g + 10. Let z be j(-7). Let k(x) = -z + 10 - b*x. Calculate o(k(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 13 + 694*v - 20*v + 49 + 563*v. Let o(q) = q - 26. Let h be o(0). Let i be r(h). What is i rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5362373501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45198 is divided by 1058.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130442992 divided by -16.\nAnswer: 8152687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-376)\/(-1034))\/(2*2\/(-2)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m - 17. Let w be r(-8). Let y be w + 88 - 57\/(-19). Suppose q + 71 = 3*a - 3*q, 5*a - q = y. Calculate the greatest common divisor of 153 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 12360332.\nAnswer: -12360338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23737545?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16484 divided by -215.\nAnswer: 16484\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1426*l - 2871*l + 1435*l - 166 + 45 as b + h*l and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 20*d**3 - d**2 + 5*d - 4. Determine t(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {v: 1, f: 3, d: 1, h: 1, s: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17868.1 + 20497. Round f to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/33636 and 101\/2163916?\nAnswer: 6491748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66834710?\nAnswer: 2, 5, 6683471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.81285 - 0.07285. Let p = -5.4592 + 4.755. Let v = p + u. What is v rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*r**3 + 204301*r**2 - 31375186*r wrt r.\nAnswer: -378*r + 408602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 9 = -b, -2*f = -503*b + 508*b + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/9))**(-3\/14)*(d\/(d**(-1)*d))**(-1\/9))**(4\/35) assuming d is positive.\nAnswer: d**(-16\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169745, -168158, -166571, -164984, -163397?\nAnswer: -161810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + (0 - 2) + (-18 - (14 + (5 - 41))).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20555922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 34 - 9. Suppose 115 - 70 = 9*l. Let s be 2\/1*15\/2. Solve s + a = -l*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 181625358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125.7 + -126. Let k(u) = -u**2 - 4*u + 8. Let h be k(-5). Which is the nearest to 0.05? (a) -3 (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368029576?\nAnswer: 2, 211, 263, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/10 + 13*y**2\/10 + 24*y\/5 + 18\/5.\nAnswer: (y + 1)*(y + 6)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -137892688*z**4 + 166953619 wrt z?\nAnswer: -551570752*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*g + 3, 6*g - 2*g + 5 = 3*x. Let a(i) = -4*i**3 - 4*i**2 - 3*i - 1. Let t be a(-2). What is the greatest common divisor of x and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154612 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5*s - 10, -5*u - s + 23 = -u. Find the second derivative of -18*c**5 - 49*c + 8*c**4 - 13*c**4 + 16*c**u + 4*c**4 wrt c.\nAnswer: -40*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 12:51 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -7675.77?\nAnswer: -7680.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 0)\/(3\/3). Let p be r - -3 - (6 + -8). Solve -p*w + 0 = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -69*(5\/3 - 2). Let j = 106 - h. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from eoaoaoeoeoodeoae?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 8*s**2 - 8*s - 8. Let i be d(9). What is the tens digit of 24 + (-2 - i\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/4 + 4. Let l be (-1*4)\/2 - -3. Suppose 0 = -u - 0*u + l. Are u and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80ba67 (base 12) to base 2\nAnswer: -111101011000000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 0*w**2 - 1\/231*w**7 + 1\/55*w**6 + 0*w**3 + 1\/66*w**4 + 0 - 3\/110*w**5 + w. Determine q, given that o(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 + 59*h**2 + 141*h - 4922. Calculate w(29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -25*m - 8. Let x(i) = -46*i - 17. Give -13*o(t) + 6*x(t).\nAnswer: 49*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -476, 4, -4, 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1667 + -1153. What are the prime factors of j?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10581576.83 and -317915.\nAnswer: -10899491.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p**5 + 1019*p**3 + 1935*p**2 + 113*p - 217718 wrt p.\nAnswer: -80*p**3 + 6114*p + 3870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76.4 - -289.6. Let l = 370 - o. Put 8, -0.2, l in decreasing order.\nAnswer: 8, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 49*h**2 + 351*h - 10297. What is the thousands digit of d(33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883081281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 - 11*m**2 - 21*m + 29. Let j be o(-9). Suppose 2*b = -3*b + j. What are the prime factors of b?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5 = 2*u + 3*c, -2*c = 5*u - 29. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 58. Suppose s - 2*u + 2 = -s, -4*u + 4 = -h*s. Solve 5*w = 3*d - 6, -2*w + 4 = 2*d - s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62142, 124310, 186478, 248646, 310814, 372982?\nAnswer: 435150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - b**2 + b - 34. Give x(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2*q - 18 = -4*y, 2*y - 12 = -4*q. Let a be 8 - 12*q\/6. Calculate the greatest common divisor of a and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3 + 81*v**2 - 513*v + 783 = 0. What is v?\nAnswer: -87, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3038 + 3043. Solve 5*x = -c - 24 - z, -25 = 5*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -6450032?\nAnswer: -6450032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 5*k = -20, 52*u - 102*u = -52*u - 2*k - 8 - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5505.1433 * -3.\nAnswer: 16515.4299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**21*w**(6\/11))**1)**(-3\/5) assuming w is positive.\nAnswer: w**(-711\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**5\/20 + r**4\/3 + r**3\/2 - 6*r. Let o be h(-3). Is o at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*u + 16 = 0, 5*w - u + 6*u - 40 = 0. Suppose 0 = y + w*d - 83, 0 = 2*y - 0*d + 4*d - 150. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hywwmwywwwqmm. Give prob of picking 1 w and 1 q.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukkk when four letters picked without replacement from {k: 3, n: 12, u: 2}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 235053\nAnswer: 470106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -3, 0, 3 in descending order.\nAnswer: 3, 0, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164598 and 103108890.\nAnswer: 721762230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39.0000143 + 39. What is w rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -821 - -905. Calculate the smallest common multiple of 60 and w.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265.5 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 448 and 48?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0.2. Let v = t + 0.2. Let q = v - -0.1. Which is the nearest to q? (a) 1 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -2\/15970323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0 + 6. Let p = -13 + w. Is p < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 6*x**2 - 2*x + 7. Suppose -14*m + 16 = -13*m. Suppose -7*s + 3*s + m = 0. List the prime factors of j(s).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 8:10 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2378, 9530, 21442, 38108, 59522, 85678, 116570?\nAnswer: 152192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 4288043781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 2:02 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 300137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - d**2 + d - 2. Let m(r) = -5*r**3 - 6*r**2 + 4*r - 50. Determine 6*k(u) - m(u).\nAnswer: -u**3 + 2*u + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -17*p**3 - 2*p + 5. Let m(a) = a**3 - a - 1. Suppose 4*b + 1 = 5. Let h(z) = b*t(z) + 5*m(z). Find the second derivative of h(v) wrt v.\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 71818, 71709, 71600, 71491?\n\"Answer: -109*u + 71927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2 + 2. Let d = -2 - j. Solve 2*s = -3*t - 7, -16 = -4*s + d*t + 2*t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(-1\/68)*((g\/(g*(g*g*g**(-1)*g*g)\/g*g))\/g)\/g**(-2\/13) assuming g is positive.\nAnswer: g**(-50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 117 = -8*b. Solve 5*i + 6 + b = -4*g, -4*i + g = 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (416\/48)\/(-13)*(-54)\/(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0769 times -0.11\nAnswer: 0.008459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + l - l)*(2*l + l**2 - 2*l) + 3*l**4 + 2*l**5 - 3*l**4 + (l - l - 7*l)*(4*l - 4*l + l**4).\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167 + 546. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1614*c - 2139*c + 32*c**2 + 62*c**2 wrt c.\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2031904 divided by 772\nAnswer: 2632","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**2\/7 + 408*m\/7 - 129344\/7 = 0.\nAnswer: -376, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 4\/(-14)*(416\/312)\/((-4)\/42)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429883308?\nAnswer: 2, 3, 3980401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + u**2 + 3149810*u - 3149810*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179852061 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let w(g) be the second derivative of 4*g**3 + 17*g**2\/2 - 3*g. Let f(o) = 8*o + 6. Let k(j) = 11*f(j) - 4*w(j). Calculate 6*c(p) + k(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - 40\/(-12))\/(1\/(-123)). Let d be (-27358)\/4 + -1 + 41\/k. What is d rounded to the nearest 100?\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11005.3 (b) 2\/13 (c) 0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-5 - -2)) + 0 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**2*k*k)\/(k**(2\/3)\/k)*k**(-2\/19)\/k**6)**26)**(-17) assuming k is positive.\nAnswer: k**(44642\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {v: 3, d: 13}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 878463296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 300309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 2*q**2 + 2. Let y be u(-2). Suppose -3*i + 2*p = -10, i + 0*p - 8 = -4*p. What is the greatest common divisor of y and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**3\/7 + 996064*o**2\/7 + 5976528*o\/7 = 0.\nAnswer: -6, 0, 249022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 650270202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (141\/(-6))\/(1\/(-2)). Suppose n = -3*n + 16. Suppose -3*x = 4*w - 30, -w - n*w = -x - m. Calculate the highest common divisor of 99 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0239417 rounded to four dps?\nAnswer: -0.0239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2577 (base 8) to base 13.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (154\/539)\/(24\/(-14))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1400)\/(-525) - (-2)\/(-3) and 27358?\nAnswer: 27358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 355, 350, 343, 334, 323, 310?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/5))**(-31)\/(i**(-1)\/(i\/(i*i**(-9\/4)\/i))))\/(((i\/(i\/i**(-1\/7))*i*i*i)\/(i*i*i\/i**(-7)))\/(i**(-1\/4)*i*i*i)**(1\/7)) assuming i is positive.\nAnswer: i**(-2213\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 10:01 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -k + 433, 3*p - 4*k = -p + 836. What are the prime factors of p?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54 * 0.88.\nAnswer: -47.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -13887*t**2 - 39*t - 16222. Let q(y) = 6941*y**2 + 18*y + 8111. Let w(u) = -13*q(u) - 6*x(u). Find the first derivative of w(n) wrt n.\nAnswer: -13822*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711773049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283364701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 141. Let v(i) = 10*i**2. Give d(v(x)).\nAnswer: 200*x**4 + 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x + 139. Give m(-11).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 75*g + 2. Let i be u(0). Let d = 0 - -9. Solve -i*y = z - 0*z - 5, 0 = -z + 5*y - d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*x - 5, 0*m = 5*m + 15. Let g be -1*15300001*(-2 + x). Let n be (g - 10\/(-5)) + -3. Round n to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -r + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from xcuuccuxxuuxcxu?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 260 and 560?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -128411, -128410, -128409?\n\"Answer: q - 128412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 0 + 2\/35*d**6 - 11\/14*d**4 + 1\/98*d**7 + 36\/7*d**2 - 96*d - 2\/7*d**3 - 9\/140*d**5. Find n, given that v(n) = 0.\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s - 6. Let d(t) = 10*t + 254. Let q be d(-26). Let h(x) = -2*x + 2. Let o(a) = -11*a + 11. Let g(i) = -34*h(i) + 6*o(i). What is q*f(z) + 17*g(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 445\/(-12104)*28\/(-105) and -121\/1020?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 176 = 5*c + 13*w, -c - 16 = -2*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - b + 0 = 2, -6 = -5*u + 3*b. Suppose 2*x - 4*x + 18 = u. Calculate the greatest common factor of x and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -818*m + 2127. Let d(y) = -817*y + 2189. Let x(n) = 3*d(n) - 2*g(n). What is the first derivative of x(l) wrt l?\nAnswer: -815","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9217*27\nAnswer: 248859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, i: 2, f: 2, g: 2, r: 1, h: 1}. Give prob of picking 1 g, 1 h, and 2 f.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 5:30 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -91460 divided by 346?\nAnswer: -45730\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3514 and 68?\nAnswer: 119476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28901309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271.4645 days to hours.\nAnswer: 6515.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16, -23, 605\/2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 5, w: 1, e: 3, s: 2, f: 3}. Give prob of picking 1 x and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + -4. Let p = i - -12.999953. Round p to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 12*a = 15*a - 155. Solve 79 = -a*m - 169 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11518826 = -142*j + 11523228 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 21 - 402*h - 549*h - 14 - 10 in the form v*h + n and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 42 = 2*m, -m - j - 2*j = -21. Let f = m + -17. Solve -5*w + 30 = 3*d - 0, 0 = 2*d - 2*w - f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 101 = -100. Is 12 a factor of (t - -241)*(-72)\/(-60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x - 7. Let v be a(-2). Suppose v = 2*w + 3. Solve 0 = -w*m + 2*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + q + 1. Let t(f) = 4*f**2 + 10*f + 10. Let m(d) = -5*b(d) + t(d). Suppose 3*l = -2 + 20. Let w be m(l). Is -3 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 2*i + 3*i + 4)*(4 - 5 - 1) + 3*i - i + i.\nAnswer: i - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) -0.23 (b) -657 (c) -3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32335 and 655?\nAnswer: 4235885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 486, 958, 1434, 1914, 2398, 2886, 3378?\n\"Answer: 2*u**2 + 466*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let z(v) = v. What is -6*y(s) + z(s)?\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/7 - (-2)\/(-7). Suppose f*o - 3*o + 5*z = -3, 4*z - 30 = 3*o. Let j be (-18450)\/(-3)*8000\/o. What is j rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 1. Let t = 5 + -2. Let b = -3 - t. What is the units digit of r(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13071.4 - 13071. Which is the closest to -16? (a) 0.3 (b) u (c) 0.168\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 260*d**4 + 10951*d**3 + 342*d - 10951*d**3 wrt d.\nAnswer: 3120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(16\/(-56) + (-18)\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76584594 to the power of 1\/3, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -184834 (base 10) to base 4.\nAnswer: -231020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.03\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 10*j**3 + 22*j**3 - 10*j**3 + 2*j**2 as z*j**3 + s*j**2 + o*j + y and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23913.3 minus -291155968?\nAnswer: 291179881.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let l(h) be the first derivative of h**6\/45 + 13*h**4\/12 + 161*h**3\/3 - 48. Let r(a) be the third derivative of l(a). Determine r(n(q)).\nAnswer: 8*q**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 22\/5 - (-83314)\/(-10). Let r = t - -4054. Let a = r - -6958. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817090917*g**2 - 9*g - 817090923*g**2 + 0*g.\nAnswer: -6*g**2 - 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -338.2 + 338. What is the smallest value in 1\/4, 0.101, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3741017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b + 140 = -900 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6814, 47389, 155454, 364753, 709030?\n\"Answer: 5624*b**3 + b**2 + 1204*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.267 and -0.520322185?\nAnswer: 0.787322185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**2 - 2288759*t - 1716567 = 0. Calculate t.\nAnswer: -572189, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -120.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1745*t - 1277. Calculate q(1).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -653, -1456, -2561, -3956, -5629?\nAnswer: -7568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 863*c + 10296. Calculate x(-12).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -95? (a) -96 (b) 0.5 (c) 14\/17 (d) 1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/13 (b) 0.3 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11954 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 bigger than -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 265 + -265. Suppose j = -7*a + 6335 + 819. List the prime factors of a.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, -2 in increasing order.\nAnswer: -14, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12919300 by -50.\nAnswer: 258386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(1274\/4 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 278792258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.17 - -0.29. Let o = -68.12 + 66. Let f = o + a. What is the second biggest value in -14, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:21 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 35136616612*w - 35136616612*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1107*a*u + 2331623*a - 767*u with respect to u.\nAnswer: -1107*a - 767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2448, 12884, 30276, 54624, 85928, 124188, 169404?\nAnswer: 221576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 56*y**4 + 676*y**3 - 2632*y**2 - 31440*y + 64800 = 0.\nAnswer: -10, 27\/14, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583136.\nAnswer: 2, 18223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 8:59 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x - 1. Let h(z) = z**2 + 193*z - 2. Determine -h(v) + 2*t(v).\nAnswer: -v**2 - 189*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-30))\/((-166)\/(-249))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 2*m**2 + 7*m + 7. Let d(n) be the first derivative of 1\/4*n**4 - 231 - 5*n - 5\/2*n**2 + 1\/3*n**3. Give 7*d(y) + 5*o(y).\nAnswer: 2*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 2, e: 2, l: 8}. What is prob of picking 1 j and 1 e?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k - 50. What is the remainder when k is divided by (26\/(-4))\/(4\/(-16))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 210 + -132. Suppose 0 = -2*n - 4 + l. Suppose 0*f + n = f. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 738570942 by 38697.\nAnswer: 19086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddtdtdddddddddttdddd?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002202201 (base 3) to base 4.\nAnswer: 11103010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5 - 22*u**4 - 156*u**3 - 392*u**2 - 320*u.\nAnswer: -u*(u + 2)**2*(u + 8)*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.13 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111695106 is divided by 146.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -7.4, 3, -5, -0.5, 0.1, 4.3?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**4 - 1060045*u**3 + 56204375610*u**2 - 2078070681580*u - 2134276117240 = 0?\nAnswer: -1, 38, 105986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 14, 56, 146, 302, 542, 884, 1346?\nAnswer: 1946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u**2 - 1976993 + 1976993 - 16*u**2 + 5*u**2.\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009524 rounded to 7 dps?\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 1904*i + 3824.\nAnswer: -4*(i - 2)*(i + 478)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 8*h + 4. Let w be v(-10). Calculate the greatest common factor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 + 231\/49. Let b = -6 + c. Which is smaller: -2\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w = -14*w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, a: 1, v: 5, m: 2}. What is prob of picking 2 v?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1992 - 1988. Solve l*s + 13 = 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56)\/70*5\/(-2). Suppose -4*z + 12 = x*s, 20 = -3*z - 2*z. Let m be -2 - (-15)\/s*2. Are m and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 3 (c) -20 (d) 35 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.91 + -6.91. Let d = -6 - 6. What is the closest to w in -3\/5, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -10*z**3 + 2*z**2 + 24*z + 34. Let c be b(-4). What is the highest common factor of 366 and c?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2 - 102240*z + 653313600 = 0. What is z?\nAnswer: 12780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 2803*k - 50965. Determine m(-18).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1218 + 20700\/17. Sort 1, x, -0.4.\nAnswer: -0.4, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2128631*b**2*r + 3939*b**2 - 19 wrt r?\nAnswer: -2128631*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/10 - 1413*i**4\/5 - 5658*i**3\/5 - 1132*i**2.\nAnswer: i**2*(i - 2830)*(i + 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 11*g - 61. Calculate v(9).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-2 + p + 2 + 0*p - 2*p + 0*p + 0 - p + 0 + (0*p + 3*p - p)*(5 - 4 - 3) - p - 3*p + 2*p - 2*p - 4 + 4 - 2 + 2 - p).\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18744 and 4260.\nAnswer: 93720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 439422 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjsgkhhjkshhghhjh. Give prob of sequence jhhh.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -579 or 13\/2?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6300.7 + 6301. What is the closest to 0.02 in b, -1\/3, -3, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 323 + -31302323?\nAnswer: -31302000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 540808889?\nAnswer: -540808885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -727204 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*t - 2. What is the second biggest value in 1, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28861979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1481, -1477, -1485, -1517, -1585, -1701?\nAnswer: -1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 - 2987*z + 91388. Give g(32).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473190 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 8. Let w(c) = c**3 + 4*c**2 - 5*c + 3. Let d be w(l). Find the second derivative of -d*h + h - 3*h**2 + 5*h**2 wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40124240 + 20?\nAnswer: 40124300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718309345 to the power of 1\/3, to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 9*z**2 + 12*z + 8. What is k(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33566 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 654.4656ng?\nAnswer: 0.0000000000006544656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/10*-8*(-22951)\/(-7002))\/(4\/18)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00229210115 rounded to 5 dps?\nAnswer: 0.00229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4*-2)\/(57\/(-6))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -158, -267, -446, -695, -1014, -1403, -1862?\n\"Answer: -35*d**2 - 4*d - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -627ff0b?\nAnswer: -627ff0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 254 = -4*v - 46, 0 = 5*f - 2*v - 232. Let a be ((-15)\/(-2))\/(36\/f). Let y be 6*(-3)\/(-9) + a. Solve -3*b = b - 4*l + y, -b - 2*l = 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/((-44)\/8) + 28. Solve 0 = 4*m + 3*z - 2*z - 13, 5*m - r = 2*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1324647.46 and 9.\nAnswer: 1324656.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/20 + (-9)\/108. Let r(v) be the first derivative of 0*v**2 + 3 + w*v**3 + 0*v - 1\/2*v**4. Solve r(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -707 - -806. Is t at least as big as 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvzhcovhvzvvvvvhh. Give prob of picking 1 h, 1 v, and 1 z.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-9))\/((-610)\/306 + (-74)\/(-37)). Which is bigger: h or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**3 + 4*j**2 - 12*j + 87. Let p be z(6). Let o = 492 + p. Solve -5*t = -4*t + o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21530.924 to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3430947?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_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: Calculate the common denominator of -17\/290 and -97\/20.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -3 - (-2 - 23). Suppose -3*m + 26 + 12 = 4*t, -4*t = -4*m - q. Suppose -t*l + 6*l = -62. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -94520 and 0.4.\nAnswer: -94519.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -33*g**2 + 7*g + 3. Let w(p) = -107*p**2 + 23*p + 11. Let h(j) = -13*n(j) + 4*w(j). Determine h(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.08 - -27. Let d = -0.38 - s. What is the biggest value in d, 2\/15, -0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 70 = 3*a, 32*a = 36*a + 4*j - 92. Calculate the lowest common multiple of a and (-1)\/(-4) - (-767)\/4.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1030 and 2754838.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 1. Let b(c) = 2*c**3 - 5*c**2 - 9*c + 8. Let q(u) = b(u) + 3*i(u). Does 21 divide q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 2:44 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3973072 and 34267746.\nAnswer: 274141968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12235 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (10 + 65 + -16)) + 8.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67886 - 23638 + 21992 + 68264 = -989*o for o.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0225436 rounded to four dps?\nAnswer: -0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 10. Let y be (i\/(-2) - 2)\/(-1). Suppose 3*x = y*v - 5 + 2, -v - 5 = -2*x. Solve 0*w + 6 = -v*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-18) + (-82)\/(-6). Is 14 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 - -70. Suppose q*y = 4*u - 12920, u + 5*y - 2*y = 3223. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1325*v**2 + 1339*v**2 - 2182*v**2 + (-2*v**2 - 2*v**2 + 3*v**2)*(-3 + 0 + 2) + 2*v**2 + 0*v**2 - 3*v**2 + (4*v - 4*v + v)*(4*v - 5*v + 4*v).\nAnswer: 485*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 754 and 1264674398?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 6, k: 7, l: 1, z: 2, q: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = o - 6*b, -5367*b = -4*o - 5371*b + 164 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-4*n + n + 5 + 0*n).\nAnswer: 6*n - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + p = -0*p + 37, 0 = c + 5*p - 17. Suppose -4*x = -6*x + 106. Let r = x + -7. What is the remainder when r is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 275c?\nAnswer: 2765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6) + (3 - (8 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 12. Let x be u(-4). Suppose -2*m = 2*m - x. Suppose -2*f + 381 = 3*v, -m*v - 2*f = -3*f - 635. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48556?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + r - 3. Let d be x(2). Let b be (-168)\/d + 24\/(-40). Solve 5*m + b = 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*((2 - (-153)\/(-108)) + (-2)\/6). Factor 6 + 495\/2*y**2 + 72*y + 363\/2*y**v.\nAnswer: 3*(y + 1)*(11*y + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 6. Let k(o) = -1. Let s(j) = j**2 + 6*j - 1. Let y(u) = -5*k(u) - s(u). What is the tens digit of y(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1287, -2564, -3841, -5118, -6395, -7672?\n\"Answer: -1277*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -335, -663, -989, -1313?\nAnswer: -1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -194897 * 8.\nAnswer: -1559176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q = -21*q + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110101 + -1301123?\nAnswer: -2011230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9323*v**2 + 5246*v**2 + 4093*v**2.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -238191*d*o**3 + 609*o**3 - 20*o**2 + 7 wrt d?\nAnswer: -238191*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k + 6. Let a = k - -14. Find the third derivative of 24*r + 18*r + a*r**4 + 14*r**2 - 42*r wrt r.\nAnswer: 288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 35. Let y be (-1)\/(-4) + b\/(-28). Let g(s) = s**3 - 3*s**2 - 5*s + 6. Let w be g(4). Solve -4 = -w*x - y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 9*j - 3. Let f be l(1). Suppose 8 = -f*x + 7*x. Suppose 12 = -3*z, -5*b + x = -b - z. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2012361, 2012330, 2012259, 2012130, 2011925, 2011626?\nAnswer: 2011215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*k + 751 + 819 = -1320 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 728.1465 minutes in microseconds?\nAnswer: 43688790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 44*v - 537. What is w(-54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 8:08 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 3108, -5, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**4\/2 + 2*t**3\/3 + t**2 - 3*t - 1. Let l be 8\/(-28) + 16\/7. What is y(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6296 + -3509. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*s - 2*s = -42, -5*j - 3*s + 53 = 0. Let f(b) = 7*b - 35. What is the smallest common multiple of f(7) and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1519\/93 - 18)*-12\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*b**2 + 1493*b**6 - 1486*b**6 + 23*b**2 wrt b?\nAnswer: 840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(4 + -2 + 0). Suppose -4*z = -2*r - 2156, -w*z = -r + 461 - 2621. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5810.77 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 c when three letters picked without replacement from {c: 1, q: 2, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 2:38 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5538, 5499, 5372, 5109, 4662, 3983, 3024?\n\"Answer: -8*g**3 + 4*g**2 + 5*g + 5537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + 3 + 8 + -9. Let x(q) = 3*q - v + 5*q - 5*q + 26*q**2 - 2*q**3 - q. Let w be x(13). Solve 0 = -3*s - 4*b - w, 0 = -2*s + b - 1 - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -0.4. Let s be (-12)\/620*(-1 + -4). Let y = -41\/217 - s. Which is the nearest to 6? (a) p (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -382, 0, 11, -3, -8, 1, 8 in ascending order.\nAnswer: -382, -8, -3, 0, 1, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31671 = -1349*v - 28*v for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*n + 5*s + 11, 6 = 2*s. Sort -38, 3, n, -2.\nAnswer: -38, n, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 793, 1621, 2449, 3277?\nAnswer: 4105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.6 - 0.4. Let j = -4.96 + -0.04. Let l = 8 + j. Sort l, 1\/6, k.\nAnswer: k, 1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + sqrt(143) + (sqrt(143) - (sqrt(143) - (1*sqrt(143) + sqrt(143))*1)) + (sqrt(143) - (6*2*sqrt(143) + sqrt(143))))\/(sqrt(176)*-2*2)*5*-3.\nAnswer: -15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(-14)*m)\/m)\/m)\/(m*m**(-1))*((m**(-2\/3)\/m)\/m)\/(m*m*m\/m**12*m))**(-14\/5) assuming m is positive.\nAnswer: m**(-812\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13 - 9) + 17*-62. Let l = -602 - i. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 12175614.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auvvuvquubvbbdu. What is prob of sequence uuau?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-126) + (-22)\/(-7) - 21?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 0.0082, -1\/2, 0.013 in decreasing order.\nAnswer: 0.013, 0.0082, -0.02, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5 - 5)*(-2*q + q + 0*q) + 0*q + 2*q - q - q - q + q + 3*q - 2*q + q + (-2*q + 0*q + 0*q)*(-1 + 6 + 2) as y + z*q and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + (1 - -166) - (-90)\/(-30)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*z + z - 205, -45 = -t - z. Suppose t = 5*k + 5*r, 5*k + r - 36 = 3*r. Suppose 3 = 2*m - 5. What is the lowest common multiple of k and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y\/(y\/y**(1\/3))*y)\/y)\/y)\/(((y**(-3)\/y*y)\/y)\/y))**38 assuming y is positive.\nAnswer: y**(608\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112948, 113276, 113604?\nAnswer: 113932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 8490?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7*41*(-7 + (-385)\/(-49)). Calculate the common denominator of -33\/28 and (-32)\/56 - (-1)\/(231\/m).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 31. Let b = c + 27. Let w be 2\/((-6)\/b)*115\/(-15). Which is greater: 25 or w?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1107329053)\/530 + (0 - (-2)\/20). What is t rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 + 2*n**2 + 0*n**2 + 0*n**2 + n**2 - 3*n**2 + (0 - 1 + 2)*(2*n + 2*n**2 - 2*n) + 0*n + 0*n - n**2 + n**2 - n**2 - n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) -29 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11284711, -22569426, -33854141, -45138856, -56423571?\nAnswer: -67708286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*o - 118, -o + 596 = 22*h - 2*o. Calculate the remainder when 10203 is divided by h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101183 = 67*h - 770044. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/13)\/((-728)\/4732)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) + -1*sqrt(100)*-2 - sqrt(100))*3)\/(sqrt(98) - (2*(1*sqrt(98) - sqrt(98)) - sqrt(98))).\nAnswer: 15*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7031*a**2 + 2 - 2 + 30959*a**2.\nAnswer: 37990*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 2 + 2)*(-23 - 1 + 23 - 52*g).\nAnswer: 156*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000029332 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 = v, o - 2*o + 18 = -4*v. Find the common denominator of o\/(-32)*(7 - 173) and 25\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**8\/1680 - m**7\/525 + m**5\/150 - m**4\/120 - 4*m**2. Suppose z(h) = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2232196 divided by 2.\nAnswer: -1116098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 46. Let l be p(21). Suppose -18 - l = -h. Suppose 5*t - h = o, o - 3*t - 6 = -5*t. Which is the smallest value? (a) -1 (b) o (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 340 by -17.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3834826*y + 2598*y**2 - 3834826*y to l*y + q + w*y**2 and give w.\nAnswer: 2598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 + 164. Let w = 15 + -2. What is the remainder when y is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.5 * -5423\nAnswer: -40672.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + -11 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*4*(-6)\/(-12). Let q(p) = -u + 0 + 8 - 2*p. What is the tens digit of q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*f = f - 26, 4*f + 17 = y. Suppose 5*k - y = 6. Suppose 190 = k*w + 2*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2960332.\nAnswer: 2, 149, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 252 - 115 = -463 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18981.\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 9:22 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1240*j**2 + 47*j - 1. Calculate c(-1).\nAnswer: 1192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 936977773\/348570 + 18128\/6455. Let f = -2691 + l. Find the common denominator of f and 95\/14.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7620 (base 12) to base 5.\nAnswer: -403414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 23\/8529 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 176 - 195 - (9 + 8)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 21026540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (8\/4 + -2)*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2347896 is divided by 867.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*v - 25, 5*v - 2*v + 2*u + 6 = 0. Which is the closest to 1? (a) -0.1 (b) 2\/5 (c) v (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -818 >= -819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*p - 0. Suppose -p*t = 4*i - 688, 2*t - 353 - 332 = -5*i. Does 35 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - -1) + -7 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(540\/63)*-20*(-12)\/8820?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 2. Let m(p) = p**2 + 0*p**3 + 3*p**3 - p + 0*p**2 - p**3 - 3. Give 2*m(y) - 3*t(y).\nAnswer: -2*y**3 + 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51587192 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/((-9)\/18). Let d be (1 + (-9)\/15)*-5. Let s = 2 - d. Which is smaller: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8 (b) -2\/99 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 3694388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 42*f + 160. Let h be j(-43). Calculate the greatest common divisor of 26 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 82*d**2 + 304*d - 663. What is t(-78)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1164 = 3*f. Let w = f - 191. Solve w*x + 2*s + 4 = -x, s = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r - 34 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.91 + -7.46. Let v = 0.55 - s. Round v to zero decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -2, -5, -15, 7 in descending order.\nAnswer: 7, 2, -2, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(-4)*24*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + 2*sqrt(448)).\nAnswer: 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/229, -0.3, 0.5, -5?\nAnswer: 1\/229","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61737585 divided by -455.\nAnswer: 135687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0738698809 rounded to 4 decimal places?\nAnswer: 0.0739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 + -3071126580120?\nAnswer: -3071126580012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + 18. Suppose 56*r - 1873 = -2*r + 331. What is the highest common divisor of k and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a week in hours?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1935*n = -w - 1931*n + 36031, -3*n - 144241 = -4*w. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8199*a + 209. Is z(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - c = -6*v - 6204, -3*v - 4670 = -5*c. Let b = v + 6255\/4. What is the common denominator of -89\/20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*r + 58*r + 2*r**4 + 3*r**2 + 6*r**3 - 19*r - 17*r - 1 as t*r**3 + u*r + c*r**2 + g + y*r**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -211, -421, -631, -841, -1051, -1261?\n\"Answer: -210*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2028.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -16*l**6 + 2*l**5\/5 - 653*l**3\/3 - 2041. Find the third derivative of z(a) wrt a.\nAnswer: -5760*a**2 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (648\/(-1197))\/((-576)\/3648)?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2168 times 0.03\nAnswer: 65.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbcb. Give prob of sequence bc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddvvdvddddd. Give prob of picking 2 d.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*x + 11 = -4, 2*a - 4*x = 0. Suppose -g = 2*g - a. Suppose 85 = 3*c - 2*s, -4*s = -g*c + 13 + 49. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - 7 - (-17 + 13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/(-3))\/5*(54\/6)\/(-9)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m - 5. Let l(g) = 16*g + 8. Determine 8*i(x) + 5*l(x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 4*q - 3. Let w be f(2). Let h = w + -8. Solve 0 = -3*s + 4*s + h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5724 less than or equal to -5723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (3 + -2)*-3. Suppose j + 1 + 4 = 4*t, 2*j - 5*t - 2 = o. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/2*(7 - 25). Which is bigger: -244\/7 or o?\nAnswer: -244\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 126, 178, 282, 462, 742, 1146?\n\"Answer: 4*s**3 + 2*s**2 + 18*s + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1179*f**2 - 2139*f**2 + 1374*f**2 + 5574 wrt f.\nAnswer: 828*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = -2*m, 4*a - 8*a + 2*m + 16 = 0. Suppose -3*n - 37 = -2*v - a*n, -22 = -2*v - 2*n. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - 3*b**2 + 2. Let x be o(-2). Let p(m) = -11*m + 2*m + x*m - 9. Let g be p(-7). Solve -3*w - g = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 4 + 0 + -3. Suppose 8 = 2*f - 4*u, 0 = -j*f + 5*f - 2*u - 24. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6087?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1264 (base 9) to base 4.\nAnswer: -32311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/84 + 7\/(-12))*-8. Let b(s) = 3*s + g - 15 + 13. Let y(k) = -1. Suppose n - 2*n - 6 = 0. Give n*y(x) - b(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (6 - ((8 - -12) + -7))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 a when three letters picked without replacement from asooozsoassss.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 - 61*h + 123. Let x be v(13). Let j(f) = 5*f**2 - f + 1. Let l be j(1). Solve -m + l*t = -11, -4*t + x*t + 10 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i + 0*i + 5*i + 18. Let b(z) = -z**2. What is g(b(f))?\nAnswer: 2*f**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/(47\/71064*21)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i + 38. Let w be m(21). Let r = 9 + -4. Calculate the lowest common multiple of 10\/w - (-216)\/15 and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/4 and 11\/1886664.\nAnswer: 1886664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**3 + 6*v**2 + 4*v. Let u(j) = 4*j**3 + 5*j**2 + 5*j. Determine -2*u(d) + 3*x(d).\nAnswer: d**3 + 8*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rll when three letters picked without replacement from ljlllrrrlllllllll.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 11. Let x be 8\/(-192)*-6 - 17\/4. Let r(m) = -5 - 6 + 179*m - 356*m + 180*m. Give x*i(h) + 3*r(h).\nAnswer: h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 38*n - 21. Let u be w(2). Suppose 8 = k + 48. Let j = k + u. What is the remainder when j is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 + -86. Which is the second smallest value? (a) f (b) 8\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 4 + -6 + (5 - -7 - 14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 752899*1\/(0 + -15210). Let q = z - -2\/7605. What is the common denominator of q and 95\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -23\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -55*g**2 + g - 6. Let q(x) = 102*x**2 - 3*x + 11. What is 6*q(j) + 11*y(j)?\nAnswer: 7*j**2 - 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11278 = 329*u - 1737 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*l, -d = 2*l - 8. Let g(a) = -a + 3. Let v be g(d). Let h = 8\/9 + -38\/63. Is h greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**3\/2 + 3*y**2\/2 + 5*y - 1. Calculate z(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002925266 rounded to 4 dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -0.4 (b) -1 (c) 43212 (d) 6 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/2 of a litre in millilitres?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0281 times 2.6\nAnswer: 0.07306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -194 + 199. Suppose -n*i - 49 - 7 = -3*k, 5*k = -15. Is -10 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6385437317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -160, -159, -158, -157, -156?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:08 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beq when three letters picked without replacement from {e: 3, n: 1, b: 2, q: 6}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(8\/3)\/(q**(-11)\/q) assuming q is positive.\nAnswer: q**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 540058, -0.3, 0.2 in increasing order.\nAnswer: -0.3, 0.2, 4, 540058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 10587890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/((-78)\/234).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 298 + -201. Suppose 0 = -b + j + a, 5*b + 4*j - 504 = -37. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.039297 and -207563.\nAnswer: -207562.960703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 331*q*x**2 - 3597*q*x + 57*q - 7851 with respect to x.\nAnswer: 662*q*x - 3597*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -105, -260, -487, -792, -1181, -1660, -2235?\nAnswer: -2912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 736 = 115. Suppose 14 + 20 = 2*s - 5*q, -2*s + q = -34. Suppose -s = 2*c - 63. Calculate the highest common factor of v and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(2\/81)\/b*b*b)*b*b**(5\/6)\/b)\/(b**(-14)\/(b\/(b*b*b*(b**(-1\/6)*b*b)\/b))) assuming b is positive.\nAnswer: b**(970\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 329787?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/(6\/9). Which is the third biggest value? (a) 4 (b) l (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*z, -z - 5*a + 9*a - 12 = 0. Let f(m) = -m**3 + 5*m**2 - 2*m - 5. Let b be f(z). Suppose 0 = b*j - 120 - 420. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*l*m + 210*l - 1866*m with respect to l.\nAnswer: 63*m + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -3\/38 (b) 0.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 1\/4 (c) 142 (d) -0.5 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -11354131?\nAnswer: -11354144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6381 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*b, -5*c - 20 = -0. Let y = b - -6. Find l such that 3*l**3 - 3*l + l**y + 3 - 5 - l**4 + 2*l**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. Suppose 4*k - m*k - 186 = 0. Is 13 a factor of (1\/3)\/((-2)\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + n + 10. Let y be j(7). Suppose 2*k + 3*m - y = 2*m, 2*k + 3*m - 58 = 0. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 142 + -140. Calculate the common denominator of -23\/6 and (1 + 303\/24)\/((-3)\/j).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 1c625?\nAnswer: -1c627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 411144, -1, -0.2, -0.33, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8120 + -8120.4679. What is l rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 5*t + 10. What is the tens digit of t\/(-2)*3 - -25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (-199)\/8)\/1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18148*g**4*h**2 - 8371*g**4 - 2134317*h**2 wrt g.\nAnswer: -72592*g**3*h**2 - 33484*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 2:47 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/241, 3, -1?\nAnswer: 2\/241","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-1*(-8)\/(-20)). Suppose 7*i - p - 256 = 0. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -540534 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -5. Let u be 3 + (0 - (-1 - j)). Suppose m = 5*r - 28, -3*r + 24 = -m - u*m. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -15*h**2 - 2009*h - 1978. Let c(b) = -5*b**2 - 669*b - 658. Let r(w) = -3*a(w) + 8*c(w). Let r(q) = 0. Calculate q.\nAnswer: -134, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 3:45 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y + 442 = -658. Solve y + 86 = -17*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y - 90*y = -57*y + 143 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(720)*2*1)**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -13. Suppose -v - 2*v = 0, 2*f - 8 = m*v. Let q be (0 - f - 1)\/(-4). Which is the nearest to 0? (a) 1 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 3*y - 2. Let v be x(5). Let l = 4 + 14. Let j = l - 14. Calculate the greatest common divisor of v and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28 - 13*m + 14 + 4*m**2 + 17.\nAnswer: (m - 3)*(4*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54.12 + 54.6. Let j = 0 - 1. Let d = p + j. Round d to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2*c - 26, 36*c + 59 = 5*q + 32*c. What is the remainder when 0 - 13*(-1 - 2) is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, f: 4, y: 1, h: 1, k: 1}. What is prob of sequence tt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfh when three letters picked without replacement from {w: 3, v: 2, f: 5, h: 7}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/5723200 and -131\/350.\nAnswer: 5723200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by 3\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 2c1b?\nAnswer: 2c1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -684 (c) -0.1 (d) -0.29 (e) -0.4 (f) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -acba?\nAnswer: -acbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -24, -30, -36, -42?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -166, -363, -648, -1027?\nAnswer: -1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z + 80. Let r be x(20). Suppose -22*m + 2665 + 3231 = r. Calculate the highest common divisor of m and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from welsa. Give prob of sequence al.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 117 + -116.602. Let c = -11.779 + n. Let m = -12 - c. What is m rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3690148*a**2. Let m(s) = 10*s**2. Calculate m(w(q)).\nAnswer: 136171922619040*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 1 - 29. Solve 2*q = 5*q + s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 391900024.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 81*116\/261.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22484 divided by 154.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 3*j = 0. Suppose j = -3*v - 2*v + 50. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013046535 to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5126, -20431, -45930, -81611, -127462, -183471, -249626, -325915?\nAnswer: -412326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 40*n**3\/3 + 3*n**2\/2 + 6*n. Is y(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/15 + (-88)\/(-20). Suppose -i - 55 = w*p - 258, 882 = 4*i + 2*p. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - -0.05. Let g = 155 + -155.42. What is the second smallest value in k, 5, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4116917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*b + 13*b - 14 + 1 - 3 + 30*b + 14.\nAnswer: -17*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*0.48119.\nAnswer: 11.06737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -64794392 not equal to -259177571\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4156 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + 791 + -797?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042 is divided by 80.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3*(3 - -3). Let p(w) = -1 - 11*w**k + 1 + 13*w**2. Let l(r) = 27*r + 12. Let s(j) = -11*j - 5. Let h(d) = -5*l(d) - 12*s(d). Give p(h(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**6\/120 - j**4\/8 + j**3\/6 + 12*j**2. Let y be m(2). Suppose 16 - 40 = -2*p. Put y, -2, p in descending order.\nAnswer: p, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33806?\nAnswer: 2, 16903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.53 - -4.7. Let g = 38.83 + i. Let y = -39.000208 + g. Round y to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16806599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9014 + 38893\nAnswer: 29879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 2) + 14 + (11 - 21)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*k**5 - 14*k**5 - 3 + 7*k**5)*(-3 + 3 - 1).\nAnswer: -11*k**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)\/k**(2\/9))\/((k\/(k\/((k*k**7*k*k)\/k)))\/((k*k**(2\/3)*k)\/k)) assuming k is positive.\nAnswer: k**(-322\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2229060 and 15\/7.\nAnswer: 15603420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 39. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15715 - 440123\/28. Calculate the common denominator of -73\/14 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + c = -7 + 2, -c = 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = w + 4*n + 2, 3*n = 2*w - 5. Let i be 4\/(-8)*(w - -23). Let v = -7 - i. Calculate the greatest common divisor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37745\/24 + 1573. Is r >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22029 + 21798.21. Round r to the nearest integer.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9798c (base 14) in base 16?\nAnswer: 598f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 909 and 855.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*m = 40, 1 = w + 3*m + 5. Suppose 0 = 3*x - w*x + 20. Suppose 0*v = x*v - 252. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78835, 78831, 78827, 78823?\n\"Answer: -4*t + 78839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52928 divided by 2.\nAnswer: 26464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 14*p + (-p + 0*p + 2*p)*(-4 + 1 + 2))*(-1 + 1 + 2)*(-6 + 4 + 0) to x + b*p and give b.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 13\/8*h**4 + 10\/3*h**3 + 0 + 1\/30*h**5 - 41*h**2 + 0*h. Differentiate k(f) with respect to f.\nAnswer: 4*f + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(3 + 1 + 2)*(-3*h - 2*h + 7*h) + (11*h + 3*h - h)*(-1 - 8 + 6) + (4 - 5 + 2)*(-2*h + 1 - 1).\nAnswer: -65*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 35 - 19*t)*(-t + 5*t - 3*t) - t**2 + 5*t**2 + 8*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(3*(sqrt(48) - sqrt(3))) + -5.\nAnswer: -5 + sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5535 = 5*w, 5*q + 8*w - 5500 = 6*w. List the prime factors of q.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809824393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 = x - 11, -3*x + 2*t = -17. Suppose 5*c + 3*y = -3 + 1, y + 4 = 0. Suppose 0 = 2*f - 3*f - 3. Put c, f, x in decreasing order.\nAnswer: x, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -14. Let l(f) = -3*f**3 - f**2 - 11*f + 8. Let n(h) = 2*h**3 + 6*h - 4. Let v(z) = 3*l(z) + 5*n(z). Give v(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8085)\/(-22))\/(-21)*(-2)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1791 - 12534\/7. Which is the second smallest value? (a) 6 (b) -1\/3 (c) -1.2 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y = -6, 3*k - 4*y - 185 = 0. Let i = k + -30. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3289 is divided by (-196)\/(-539) + (-365)\/(-55).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, p: 9}. What is prob of sequence ppwp?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144471, -144467, -144463, -144459, -144455, -144451?\nAnswer: -144447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1351*c + 2461*c - 1109*c - 345.\nAnswer: c - 345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) - (sqrt(833) + -1 + 4))*6 - ((sqrt(833) - (-2*sqrt(833) + -4)) + 1))*5)**2.\nAnswer: 24150*sqrt(17) + 200650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3079251, -6158500, -9237749?\n\"Answer: -3079249*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/18)\/((-88)\/1584)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, 58, 222, 550, 1096, 1914?\n\"Answer: 9*b**3 + b**2 - 12*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1209)\/(-390) + -4)*(-5)\/(-3). Which is the third biggest value? (a) z (b) -0.1 (c) 278.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/11*1518\/6072.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - m = -2076 + 10427, u - 1659 = 3*m. What is u rounded to the nearest 10?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5270 divided by 85\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/5)*q)**(-1\/23))**(-13\/2) assuming q is positive.\nAnswer: q**(78\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221221022020 (base 3) to base 2.\nAnswer: -1111100101000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 55 = 6*n - 8*s + 3*s, s = -5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -5*j**7\/42 + j**6\/6 + 5*j**5\/4 - 5*j**4\/12 - 20*j**3\/3 - 10*j**2 - 23*j - 1. Let p(k) = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 973279.7mm?\nAnswer: 973279700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 + 5 = 4*y, -y - n = -1. Let m(h) = -4*h + 5. Let u(c) = 3*c + 2 + 0*c - 6. Let i(q) = y*m(q) + 5*u(q). Let v(d) = d. Calculate i(v(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v - 50 = 0. Let x(d) = 2*d**2 - 2*d - 1. Let c be x(-1). Calculate the remainder when 16 + (c - (2 + -1)) is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/92)\/(1*(-21)\/12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 50.93. What is the fourth smallest value in 4, 5, q, -6\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422787975.\nAnswer: 3, 5, 5637173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 707 in 0.1, 2\/9, 0.3, 28, 5\/3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16166150201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -116*i**3 - i. Let t be v(2). Is (-1)\/2 + t\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 0 + sqrt(18) + sqrt(6)\/sqrt(3)*3)*3.\nAnswer: 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71278336 and 169775?\nAnswer: 6791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 12:41 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**5\/60 + 6*b**2. Let u(x) = 10*x**2. Give u(o(a)).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 457 - 356. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -81*v. Let d(w) = -1616*w**2 + w - 8. Give h(d(o)).\nAnswer: 130896*o**2 - 81*o + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(21)\/sqrt(27) + -4)*-3.\nAnswer: -sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + 34 - (-6 + -10 + -41)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11072*k = -11060*k + 22103*k + 464 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**4\/12 - 4*g**3\/3 - 3*g**2 - 5*g. Let a be 1*(-1 + 1 + -5). Give y(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*x + 7*x. Suppose 4*g - 157 - 63 = -x*m, -5*m + 332 = -2*g. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.3 + -4. Let k = 37\/12 + -23\/6. What is the third smallest value in p, k, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-788)\/(-6) + 4\/6. Suppose 0 = 82*r - 16*r - 792. Calculate the greatest common factor of h and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + (5187\/266)\/(-1 - 2))\/((-15)\/(-56)). Let 2\/5*b**3 + 144\/5 + v*b**2 + 24*b = 0. Calculate b.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (22\/(-22))\/(1\/(-2249)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + 2 = -12*d + x, 2*d = 5*x - 27 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, x: 2, n: 2, v: 1, m: 1, q: 1}. What is prob of sequence hnh?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - o - 22. Let x be w(4). Solve 48*l - x = 42*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -6*a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3406 - -5172. Let u = -667 + n. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/20*(-8)\/(-6). Let g be (3 + -4)\/4 + (-12)\/16. What is the nearest to t in 0.6, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039502 a multiple of 367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/6*(-441)\/(-84). Let k = 35 - m. Solve 5*r + 3*a + 0 + 2 = 0, k = -a - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2356211 and 85371.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.3 - -32. Let t be ((-4)\/(-10))\/((-2)\/(-20)). Let r = 9427\/21 + -449. Sort t, i, r in increasing order.\nAnswer: i, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**5 + 717*a?\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 145775.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 74\/(-6) + 1054\/(-1581)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k - 6. Let w(b) = -7*b + 17. Let i(s) = 17*d(s) + 6*w(s). Let l(z) = z**3 - 4*z**2 - 4*z - 6. Let h be l(5). Is i(h) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83098 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7cd (base 14) to base 6.\nAnswer: -11105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 509531 and 605?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42545 and 46355.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -67*t - 271. Calculate w(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 42693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -854, -1716, -2586, -3464?\nAnswer: -4350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49015 + 49039. Suppose d + 2 = -v, -2*d - 2 - 2 = 5*v. Suppose -2*q + q + 21 = v. Calculate the least common multiple of q and j.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(204) - sqrt(204)) + sqrt(204))*5*4)\/((sqrt(72)*-2*6)\/sqrt(6)).\nAnswer: 10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24609*k**2 - 17105*k**2 + 15955*k - 15955*k.\nAnswer: -41714*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -d + 2*l, -10 = -5*d + 5*l. Solve t - 2 = -d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.118 + -0.082. Let p be 40\/(-42) - 4\/(-14). Sort p, u, -4 in decreasing order.\nAnswer: u, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43277770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 173024 and 173024.\nAnswer: 173024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f - 10. Let b be g(10). Suppose 7*h = b*h + 6. Let y be (-6)\/h*25\/15. Solve m = -0*m - y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**5\/7 + 16*p**4\/7 + 4*p**3 - 16*p**2\/7 - 30*p\/7 = 0?\nAnswer: -5, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446989?\nAnswer: 31, 14419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1222, 1221, 1220?\n\"Answer: -j + 1223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-2 + 5 + sqrt(9)\/(sqrt(18)\/sqrt(6)).\nAnswer: -sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 270\/216 + (-1)\/4*-75. Solve -z - n = 4, 0 = -5*z - 5*n + 6*n - x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 103, -2\/87 in increasing order.\nAnswer: -1, -2\/87, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37592, -75388, -113186, -150986, -188788?\n\"Answer: -i**2 - 37793*i + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 15984, -3, -1\/8, 0.7, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119817 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 2*p**2 - 2*p**2)*(-8 + 12*p + 13 - 6).\nAnswer: 24*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = a - 4*m, -4*a - 3*m = -2*m - 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 15*f**2 + 19. Calculate the remainder when 3356\/36 - 6\/27 is divided by j(15).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 10*a - 14. Let w be n(-6). Calculate the smallest common multiple of 6 and 98\/w + 4\/20.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 310*t - 31. Let w(d) = -3 + 189*d - 46*d - 112*d. Give -3*n(r) + 31*w(r).\nAnswer: 31*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-2)\/(-2))\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.04 + 5. Let h = s - 0.36. Let n = 0.5 + h. What is the third biggest value in 0.4, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - 1 + 1 + (-c + 4*c - c)*(2 - 4 + 1) - 5 + c + 5.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -4) + 5 + 9 + -13. Suppose l*h = -139 + 229. Solve -4*r - 2*v - h = -5*v, 5*v = -3*r + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 2*m - 181. Suppose -4*p = 4*l - l - 94, -3*p = -2*l + 40. What is the remainder when m is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((264\/(-60))\/22*1).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 8*f**2 - 6*f - 3. Let u be y(9). Suppose -3*z + a + u = 0, 5*a = 11 + 4. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5)*i*i**9)\/((i*i**(-1\/7))\/(i*i**0)) assuming i is positive.\nAnswer: i**(369\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1816 and 19295?\nAnswer: 154360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 + 38083?\nAnswer: 3805c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -386, -582, -778, -974, -1170?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 7*z**2 - z**2)*(-10 - 1343*z - 9 + 1342*z) - 3*z**3 + 4*z**3 + 0*z**3.\nAnswer: -7*z**3 - 152*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 21*j**2 - 19*j + 22. Let z be b(-20). Suppose z*q = 35 - 27. Solve 2*g + 19 = -g + q*d, -2*g - 11 = -d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*n = 38, -2*k + 5*n - 8 + 0 = 0. Let x(i) = -i**3 + 7*i**2 - 6*i + 6. Let h be x(k). Solve -2*f + 6 = -4*a, -5*f = h*a - 2*a - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -8*t**2 + 24 - 2067*t**3 - t**2 + 2068*t**3 + 14*t = 0?\nAnswer: -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3\/5 + 8*k**2 - 706*k\/5 - 744\/5 = 0.\nAnswer: -31, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 6*d + 2. Let c be 24\/9*6\/(-4). Let s be l(c). Let q = s + -4. What is the greatest common divisor of 55 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (6 - 6) + (37 - 32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -31876, -31, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 + 7*f**2 + 9*f + 17. Let o be y(-3). Sort o, 40, 0 in descending order.\nAnswer: 40, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2062 - 2060. What is the biggest value in -0.14, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 2:54 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 3*p + 159. Suppose -5*j + 22 = -p. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88.5 * 0.073\nAnswer: -6.4605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-3*6*-6*(sqrt(99) + -1))**2 - 4*(4 + 0 + sqrt(99) + 2)).\nAnswer: -69996*sqrt(11) + 1166374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 2*y - 2. Let t be w(4). Let x(o) = 3*o + 0*o**3 + 1 + o + 4*o**3 - t*o**2 - 5*o**3. What is the remainder when x(-7) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - -4.3. Let h = p - -1.5. What is the fourth smallest value in 1\/4, 0, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -2*z - 0*z - 4*y, -4*z - 4*y + 284 = 0. Suppose -5*w = 5*c - z, w = 2*w + 5*c - 6. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 52 - -9616?\nAnswer: 9668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 36.2. Is d at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 15, 0*x + 4*x + 4 = -2*y. What is the second derivative of 5*n - 27*n**y + 6*n**4 - 2*n + 23*n wrt n?\nAnswer: -252*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-3)\/3) + 13. Suppose 0*u - 4*u + w = 0. Let m(o) = -19*o - 228. Let l be m(-12). Solve l*z = -z + u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1925 - 0?\nAnswer: 1925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 156 = -162 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 - (104\/10)\/(10\/(-350)) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/2051112 and -65\/769167.\nAnswer: 6153336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -227049*f**2 - 7*f + 987 wrt f?\nAnswer: -454098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/1538 or 1?\nAnswer: -7\/1538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 - 28*u**3 - 20*u**2 + 28*u + 24.\nAnswer: -4*(u - 1)*(u + 1)**2*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-7) - 23\/(-7). Let r be 15\/b*2\/2. Factor z**3 + z + z**2 - z**4 - z - z**r.\nAnswer: -z**2*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*g**2 + 3 + (4*g + 3*g - 5*g)*(-1 + 1 - 1)*(0*g + 2*g - 4*g) to f*g + b*g**2 + r and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 + 2*u**2 + 15*u + 64. Let d be p(-4). Is 24*d + (0 - -7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -0*r - 3*r - 63. What is the third smallest value in -2, 0.2, 19, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14113300434 (base 5) to base 2\nAnswer: 1000101000011101111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 17. Let n = -803.9 - -804. Which is bigger: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 18. Let y(l) = 3*l**3 - 5*l + 3. Let x(d) = d**3 - d + 1. Let v(t) = 3*t**3 - 5*t + 3. Let q(s) = v(s) - x(s). What is j*q(u) + 3*y(u)?\nAnswer: u**3 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2038\/15 - -419\/3. Let b = l + -33\/10. Which is smaller: b or 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -3204?\nAnswer: -3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {x: 4, k: 3, v: 2, b: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -363 + 482. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 15 = -4*a, 6*k + 16359*a = 16360*a + 30 + 35 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -v - v - 16, 4*t - 4*v + 16 = 0. Let n(f) = -1300002*f - 8. Let b be n(t). What is b rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -358045.\nAnswer: -358045, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 3*v - 1. Let y(r) = r + 6. Let z be y(-9). Let j be 18\/(-1) + 1 - z. Let h = j - -10. Give s(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24344070.91 rounded to the nearest one hundred thousand?\nAnswer: -24300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t + 44 = 38*t. Let o(a) = 4*a. Suppose 5*k - 15 = -0*k. Let h be o(k). Which is bigger: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10761*b**2 + 5*b - 3. Is j(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1493.6978 + -1494. Round m to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -92, -95, -98?\n\"Answer: -3*r - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1*2*4\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {s: 5, t: 14}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 9, q: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. Suppose -28 = -4*w - i, 3*w - 25 = -n*i - 4. Suppose -2*v + w*v - 35 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 529 - 279 - 6*z**3 - 318 + 2*z wrt z.\nAnswer: -18*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**5\/60 + 5*y**4\/8 - 3*y**3\/2 + 129*y**2\/2 - y - 13. Let o(u) be the first derivative of z(u). Give o(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -26. Let s(c) = -9*c - 19. Let o be s(-8). Put -4, o, j in decreasing order.\nAnswer: o, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/216)\/((-110)\/(-704))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1863 - 430. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3123, 4, -52 in increasing order.\nAnswer: -52, 4, 5, 3123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54739667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163 - -75. Calculate the remainder when h is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -2981777?\nAnswer: -298177a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/328929432 and -47\/729873.\nAnswer: 986788296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-144)\/(-45))\/(4\/(-10)). Let b be -1*(9\/((-18)\/h) + -5). Calculate the common denominator of -65\/3 and (14\/(-84))\/(-9*b\/118).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 15*g - 22. Let f be p(-12). Suppose 0 = o - d - 12, -3*d = 2*o - 8 - 11. Let y = f - o. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179*s + 340*s - 203*s)*(s**2 - 1 + 1).\nAnswer: -42*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 41*f - 3383. Give m(66).\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*f - 5364 + 5476 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l - f - 65, 75 = 5*l + f. Let g be ((-2)\/(-3))\/(l\/63). What is the closest to -2 in g, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -195 in -5, -17\/29, 2\/19, -4, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -407460740 rounded to the nearest one hundred thousand?\nAnswer: -407500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2535917715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 52*k + 1 + 45\/2*k**2. What is the first derivative of o(u) wrt u?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/(-1053)*-54 - 1\/12. Determine l, given that -s*l**5 - 11\/2*l**3 + 3\/4*l + 1\/2 - 9\/2*l**4 - 2*l**2 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 + -51. Suppose -41*a - 6 = -s*a. Let o be (a*5)\/((-12)\/(-132)). What is the greatest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2 - (7006\/(-339))\/((-2)\/3).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -10. Suppose -h = 4*h - n*b - 60, 0 = 2*h - 2*b - 26. Let w be 348\/7 + h\/28. Calculate the greatest common factor of 20 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wldwwdd. What is prob of sequence wlw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 270*q**2 + 1069*q + 33259. Calculate r(-138).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.051 - 7387.491?\nAnswer: -7388.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11\/2, -1\/6, 0.8759?\nAnswer: 0.8759","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12363 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 482*z - 4419.\nAnswer: (z - 491)*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-768)\/224)\/(45\/(-30)). Factor r*i**3 + 24\/7 + 2\/7*i**4 + 8*i + 46\/7*i**2.\nAnswer: 2*(i + 1)*(i + 2)**2*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 21\/4*i**4 + 29 + 30*i**2 - 12*i - 23*i**3. Factor w(s).\nAnswer: 3*(s - 2)*(s - 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 8, o - 201*f + 202*f = 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848 is divided by 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/3262 or 71?\nAnswer: 5\/3262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**4\/4 - 2*w**3\/3 - 3*w**2\/2 - 2*w. Suppose 7*i = 5*r + 3*i + 18, 5*r = 3*i - 16. Give f(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and (1 - 3) + 18 + 4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 13448.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from mmlllmlmlmd?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.279806cm in kilometers?\nAnswer: 0.00000279806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40824 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39305662.4 rounded to the nearest 1000?\nAnswer: 39306000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 614.914152 to 1 dp.\nAnswer: 614.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 7) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 7:56 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1541 divided by 4916.\nAnswer: 1541\/4916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003623224478 rounded to 6 dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*((-90060)\/24)\/(-5) is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10220 - 1111112?\nAnswer: -1122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -79. Suppose -5*f + 32 = -2*f - 4*h, 0 = -4*f - a*h + 84. Suppose 3*d = -f*d + 57. Solve -5*s = -4*m + 4, d*m + 4*s = m - 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*(-6*(sqrt(80) + -4 + sqrt(80)*-2) + 4 + 0 + sqrt(80) + 1))**2.\nAnswer: 40600*sqrt(5) + 119023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y. Let o be w(-5). Suppose -2*m + 0*m = -o. Solve 0 = -m*g + 2*p - p - 26, 3 = 3*p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3 + 31*t**2 - 410*t = 0. Calculate t.\nAnswer: -41, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = 0, q + 3*s + 6 = -q. Suppose -3*n + 5*p + 1 = 0, 2*p - 6*p = 2*n - 8. Suppose -z - 13 = -4*m, 4*m - 3 = 4*z + 1. Solve q*i = m*i + n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from jjejee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 17710 = b. What is the greatest common divisor of b and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146765 - 56*v + 8*v**2 - 146765 wrt v?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -1\/2, -0.2, -4\/7, 15, -0.6?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -p + 5. Solve -d - v = -6*v - 15, -p*v = 2*d + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 307 and 21340798?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181\/138 - 1\/46. Which is the second smallest value? (a) t (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - -1) - (-2 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(-34)*4\/(-84)*-812?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294051 is divided by 1578?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13494*z + 13447*z + 131929. Calculate the remainder when z is divided by 50.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 2592 = -37*b + 824. Solve b*l - 55*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*n - 34*n = 48175. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 5. Let k = -11 + 6. Let r(t) = -4*t + 1. Let d(a) = -7*a + 2. Let p(h) = k*r(h) + 3*d(h). Let n(y) = -2*y + 2. Calculate m*n(j) - 5*p(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 17. Suppose -b*g + 6*g - 2 = 0. Suppose -g*r = -7*r + 75. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 8*o - 5. Let z(i) = 2*i**2 + 9*i + 3. Let x(s) = 3*w(s) + 2*z(s). Give x(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -19 + 35 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**3 - 2934*s**2 + 717363*s = 0?\nAnswer: 0, 489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4491, 3626, 2183, 162?\nAnswer: -2437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85867\/12 + 4865829\/680. Calculate the common denominator of q and 133\/1020.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 935, 671617, -2\/21?\nAnswer: 935","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1915159.\nAnswer: -766063.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 108*b + 5. Let g(k) = -322*k - 14. Calculate -5*g(w) - 14*u(w).\nAnswer: 98*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(112) - (sqrt(112) + -2*sqrt(112) + sqrt(112)))*4)\/sqrt(4))\/((sqrt(400)*-1)\/sqrt(4)))**2.\nAnswer: 112\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgdggggdghxx. Give prob of sequence xg.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20444*c**3 + 11888*c.\nAnswer: 122664*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5 - 6 + 10 - n + n**3 + 6*n**2. Let z be i(-6). Suppose -5 = -u + z. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s**3 + 3*s + 1. Let x(c) = -20*c**3 - 3 - 1 - 8*c - 13*c**3. Let u(p) = -8*v(p) - 3*x(p). What is the derivative of u(j) wrt j?\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-10))\/((45\/(-6))\/5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-12)\/20)\/(5\/(-8750))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z. Let r(b) be the second derivative of -b**7\/2520 - b**4\/3 + 4*b. Let m(k) be the third derivative of r(k). What is u(m(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 3604*w + 30 = 7214*w - 3614*w, -s + 22 = -3*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 85741359 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2. Suppose 3*s + 4 = r - 0*s, 5*r + s - 84 = 0. Let o = r + -10. Let u(m) = -4 - 2 + 2*m + o. Determine c(u(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -23, 77, 5, -4 in decreasing order.\nAnswer: 77, 5, -2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*j - 12*j - 13*j + (-43 - 5 + 7)*(-5*j + j + 3*j) to the form s + h*j and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a factor of 55302304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 5*x + 3. Let d(g) be the second derivative of g**2\/2 + 16*g. Let z(t) = 2*d(t) + k(t). Calculate the remainder when 52 is divided by z(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (356 - -3)\/((-2)\/2). Let s = b + 551. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/257672 or 1?\nAnswer: -27\/257672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -564, -1082, -1818, -2778, -3968?\nAnswer: -5394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 2825 - 2815 + 5637 - 2123*q**2 - 2*q to i*q**2 + v*q + w and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -18843*n**2 + 20*n - 52. Suppose 62 - 286 = -16*v. Let m be g(v). Round m to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 19. Let s = -10 - -7. Is i\/21 + (-2002)\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00055184 to five dps.\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 0.04 (c) 2 (d) -3 (e) 0.018 (f) -14\/3 (g) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5270, -10539, -15808, -21077, -26346?\n\"Answer: -5269*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 5*u**2 - 8*u. Let m be c(6). Let o = 23 + m. What is the lowest common multiple of o and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2103 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivmvlvlillmmlmlvmiv. Give prob of sequence il.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.8548437mg in kilograms?\nAnswer: 0.0000008548437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555 + c - 839 - 1329.\nAnswer: c - 2723","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 i when four letters picked without replacement from hfixhxpifxpxp.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 23*r**2 - 7*r + 8. Let u be v(4). Calculate the common denominator of -29 and (u\/9 + 0)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360 divided by -10.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4802 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 2*z + 5*z)*(0 + 0 + 2*z**4) - 567*z**2 + 0*z**5 - 2*z**5 + 3*z + 568*z**2.\nAnswer: 14*z**5 + z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, o: 14}. Give prob of sequence yooy.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**5\/60 + g**4\/6 + 2*g**3 - 5*g**2. Let v be f(-3). Is 39 a factor of 1402\/v - 22\/(-99)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6)*3\/2. Let v be b\/3 + 14\/6. Suppose -4*f + 8 = -0*a + v*a, 12 = a - 2*f. Solve 5*j - a = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 11 = -11. Let a be (c\/1)\/((2 - 1)\/1). Let s be (a - 2)*(-3 - 3\/3). Solve -3*z - z - 19 = -m, -5*z - s = 4*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.92 + 0.08. Which is the smallest value? (a) s (b) -0.6 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujbh when four letters picked without replacement from rubjh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(-1\/17)\/m)*m*m**(-5) assuming m is positive.\nAnswer: m**(-33\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.11? (a) 0.033 (b) -1\/4 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g + 5. Let y(l) be the third derivative of -5*l**4\/24 - 4*l**3\/3 + 2*l**2. Let n(f) = 8*m(f) + 5*y(f). Let z(q) = 2*q**2. Give z(n(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/5313 and -75\/8?\nAnswer: 42504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(16)\/sqrt(2)))**2 + -1*sqrt(8).\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/8)\/(6\/(-288)). Suppose 0 = -31*z + 27*z - d. Find the common denominator of 2\/z + 97\/(-33) and 53\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764*o - 62*o + 51*o + 10343 - 3368 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 26, 1, 17, 5, 8.\nAnswer: -5, -2, 1, 5, 8, 17, 26","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**2\/4 + 943*c\/4 + 2847\/2 = 0.\nAnswer: -6, 949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 14*v - 3. Let g(p) = 7*p + 2. Let j(m) = 4*m + 1. Let d(o) = 3*g(o) - 5*j(o). Let n(b) = 6*d(b) + r(b). Is n(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**4\/7 + 836*p**3\/7 - 76646*p**2\/7 + 362080*p\/7 = 0.\nAnswer: -496, 0, 5, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136690 and 150359.\nAnswer: 1503590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*p + 7*o - 5 - 34, -4*o + 24 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/45*-5*(-132)\/5. Let o = -29 + l. Determine b, given that 0*b - 1\/3*b**2 + o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30701 + -17313. Let a = o + 27111. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 10. Let k = f + -7. Let t = -181 + 180. What is the second biggest value in -1\/2, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4 + 2 = 0, -5*s + 30 = -q. Let y = q - -128. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39943507.\nAnswer: 521, 76667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8579, -3\/2, -5?\nAnswer: 0.8579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.4, -1, -6, -2\/3 in increasing order.\nAnswer: -6, -1, -2\/3, 8.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, x: 3, w: 3}. What is prob of picking 3 s and 1 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 12:25 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/501 and -50\/39.\nAnswer: 6513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 6*u + 13*u + 7*u - 36*u + 14*u.\nAnswer: -8*u - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.089 (b) -3\/7 (c) -46.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 867?\nAnswer: -862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-120)\/(-25) - 4)\/(4\/(-70)). Let w = c + 17. What is the nearest to w in 0.4, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28992063 and 1441155.\nAnswer: 9939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*x + 91 + 14. Suppose x*h + 40 = t, 3*t + 4*h - 3*h = 40. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 4. Let o be z(-5). What is the greatest common divisor of 168 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2312*d**5 - 605*d**5 + 1451*d**5 + 2*d**5 + 0*d**5 + 0*d**5 + (d**4 + 0*d**4 - 2*d**4)*(3 - 3 - 2*d) - d**5 + d**5 + d**5.\nAnswer: -1461*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730313768.\nAnswer: 2, 7603, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -54021, -108208, -162395, -216582, -270769, -324956?\n\"Answer: -54187*y + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 40 (b) 5\/3 (c) 0.1 (d) 26 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 11*p - 15. Let m(v) = 47*v - 55. Let f(b) = 9*c(b) - 2*m(b). Calculate f(10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3)*12525\/50. Let p = u + 468. What is the smallest common multiple of p and 5?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 63, 98?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4225 + 4946 = 9*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**3*r**2 + 364*b**3 + 2*b**2*r**4 + 2*b**2 - 4*b*r wrt r.\nAnswer: 6*b**3*r + 8*b**2*r**3 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Let m = 700.372 + 0.628. Let v = m - 706. Sort b, v, 1, -2\/3 in increasing order.\nAnswer: v, -2\/3, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 40 = 3*q, -4*u + 5*q = q - 12. Let v be 1*(2 + (-1 - 0)). Suppose -2*t + u = -v. Put 2, t, -5 in descending order.\nAnswer: t, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -26*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -0.0329 (c) 6\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((13 - 8) + -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*j - 303*j + 164*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4\/24*-1*2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -13*q**4\/12 - 9*q + 3. Let y(v) = -v**2. What is p(y(t))?\nAnswer: -13*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-4\/7))\/r**(3\/7))**(3\/22) assuming r is positive.\nAnswer: r**(12\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6251319791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 4 - -2*1. Suppose -3 = f - g. Let w = 5 - f. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 3:14 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 10*j - 25. Suppose j*z - 15 = 10*z. Calculate the remainder when 18 is divided by 6\/4 + z*(-13)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 4652.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1345575699.\nAnswer: 3, 13, 233, 16453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + n - 4*n)*(8533 - 8533 + 828*n)*(4 - 3 + 0)*(2*n**3 + n**3 + n**3).\nAnswer: -3312*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 divided by -8542?\nAnswer: -140\/4271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 23.9 (c) -8\/7 (d) 4 (e) -5 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.1 - -2. Let o be 1 - 1\/5*2. Let k = -1108 + 1110. Which is the nearest to d? (a) o (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1013473 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 452671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7354173349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ejeptdfjjjfpjd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 555*r.\nAnswer: 3*r*(r + 185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/26, 0.3, -3\/2288, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319.65 rounded to zero dps?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 1 = -91*p + 87*p, -16 = 4*p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*r + 12, 0 = -4*o + r + 13 - 0. Suppose 0 = 4*v - o - 10. Let d(s) = -1265*s - 5. Let n be d(v). What is n rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-9))\/((-2)\/18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3 - 2*a - 20*a + 21*a + 2. Calculate n(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 6, -2*h + 3*i - 6 = 0. Suppose -3*q + h*q - 3 = -k, -5*k = -3*q - 3. Let y(t) = 4*t**3 - t**2 + 1. Give y(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -6008.6 (c) 124 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -72, -127, -182, -237, -292, -347?\n\"Answer: -55*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44\/105 - 2\/15. What is the nearest to 0.2 in -1\/5, -12, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -3*p + 136. Sort -0.05, 1\/5, p, -1\/6 in descending order.\nAnswer: p, 1\/5, -0.05, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 160.52?\nAnswer: -160.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -216223?\nAnswer: 216223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4 - 10 = 0. Suppose 7 = -3*o + 2*r, -3*r - 2*r = -3*o - 22. Let m = o - -1. What is the remainder when h is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12949496 divided by 28\nAnswer: -462482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(81\/(-9)))\/(2\/(8\/(-18)))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21422503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 9*o - 5. Let d be a(-4). Does 16 divide (-2)\/(-12) - d\/12*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/2*2398\/(-55) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 23*u + 2. Let t be m(6). Suppose -t = -3*r - 5*x, 3*x - 6*x = -3*r + 180. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8 + k**2 - 10 + 2*k + 9*k**3 + 0*k**2. Let s be v(-3). Let g = s - -377. What is the greatest common divisor of g and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/2, -103270\/441, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(-2)\/6 + 28\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/31)\/(n\/n**(-45)))**(-4))**(-2\/21) assuming n is positive.\nAnswer: n**(-11384\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 1 + 0 + (10 - 8 - 18)*(3 - 6 + 2))*(y**4 + 4*y**4 - 3*y**4).\nAnswer: 66*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aagga. What is prob of sequence agg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**2\/6 - 73007*u\/6 + 327924 = 0.\nAnswer: 27, 72872\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -44, -1, -0.56, -258?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 8:50 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 387, 386, 409, 468, 575, 742, 981?\nAnswer: 1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**0)\/(f**(-5\/6)\/f))**(2\/9) assuming f is positive.\nAnswer: f**(17\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18780, -37398, -56016?\nAnswer: -74634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 34*k - 170. What are the prime factors of g(13)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(13) + -1)*2 + 2 - ((sqrt(26)\/sqrt(2) + 2)*4 + 2).\nAnswer: -2*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a millennium in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -699, -688, -669, -642, -607?\n\"Answer: 4*y**2 - y - 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1575*y + 33. Let z(i) = 788*i + 13. What is 2*u(x) - 5*z(x)?\nAnswer: -790*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.53 + 2.53. Let f = 22.786 + r. What is f rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26992, 3, -3, 64 in increasing order.\nAnswer: -3, 3, 64, 26992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 3*g**2 + 5*g**2)*(2*g**3 + 2*g - 2*g) + 23*g + 5*g**5 - 23*g + 7*g**4.\nAnswer: 7*g**5 + 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 4. Let k be p(3). Let u(j) = -j + 1. Let g be u(k). Suppose g = i - 0. Which is the smallest value? (a) -5 (b) -3\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m**3 + 6*m**2 + 14*m + 22. Does 10 divide y(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100 + 156. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40538346 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313597 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20\/4*((-160)\/(230\/(-23)))\/(-2)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 791592 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 + -65. Let w(k) = -17*k**3 + 11*k**2 + 4. Let x(u) = 8*u**3 - 5*u**2 - 2. What is t*w(j) + 13*x(j)?\nAnswer: 2*j**3 + j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b - 22*b = -28 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 7*y**2 - 6*y. Let o be l(6). Let d = -0.02311 + 0.05311. Which is the third biggest value? (a) o (b) d (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 5*n + 7 = -11, 5*n + 13 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + -1*(-1 + 0). Suppose 7 = -4*m + 5*y + 77, -28 = -2*m - y. Calculate the greatest common factor of m and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 6. Let g be (-5 - (-276)\/54)*-3. Sort -2, d, g, -3 in decreasing order.\nAnswer: g, -2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**3 + k**2 - k + 1. Let x be z(1). Suppose 234 = -x*f + 5*f. Let b = f + 112. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.10602 - -3.58476745\nAnswer: 3.47874745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30523 and 6291?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/45)\/(1\/15). Let r be ((-1)\/(8\/10))\/((-1)\/b). What is the highest common divisor of 240 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 11*u + 12. Let v be n(10). Suppose d - 38 = -v*h, -2*h + 1 = -1. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20177.1 - -20177. Which is the third smallest value? (a) -5 (b) 5 (c) -3\/4 (d) -51 (e) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - -2. Suppose 10*u = -6430 + 6670. What is the highest common factor of w and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 13. Find the common denominator of 59\/5 and 1\/w + (-62)\/(-9).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 4*k**2 + 55*k + 6. Determine g(-9).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 169003644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-19))\/((-16)\/224*7).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-20)*275\/165.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6030 - 89*b**3 - 11982 + 6045.\nAnswer: -89*b**3 + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**2 - 103\/120*a**6 - 1\/20*a**5 + 41 + 0*a + 0*a**3 + 1\/12*a**4. Find the third derivative of f(w) wrt w.\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 26699029?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**2\/5 - 17760*p + 355264\/5 = 0.\nAnswer: -22204, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.438 - 1.438. Which is the second biggest value? (a) 0.5 (b) f (c) 0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 y when four letters picked without replacement from {y: 4, h: 6, m: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8327 - 7?\nAnswer: 8320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**2 - 79959*a + 2561760 = 0.\nAnswer: -26685, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1433*s + 1434*s - 3*c = 21, 0 = -4*s + 5*c + 49 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -8*n**3 - 5*n**2 - 3. Let o(h) be the third derivative of -h**6\/8 - 3*h**5\/20 - h**3 - 4*h**2 + 226*h. Calculate 11*i(m) - 6*o(m).\nAnswer: 2*m**3 - m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*d - 41 = 0, v - 3*d + 35 = 6*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-20*26\/(-260))\/(2\/(-8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 408, -0.7, 9, 12\/17 in increasing order.\nAnswer: -0.7, 12\/17, 9, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4324*r - 8641*r + 4337*r.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2\/2 - 162*h - 999\/2 = 0. Calculate h.\nAnswer: -3, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -10*v + 2*z - 2736, 13719 = 5*v - 3*z. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, d: 2, i: 2, y: 12}. Give prob of picking 1 i and 1 d.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 12*a - 4. Let s(f) = -10*f + 3. Let v(g) = 4*s(g) + 3*y(g). Let d(i) = -3*i. Calculate v(d(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -168 - -172. Sort 2\/13, n, -4, 0.1.\nAnswer: -4, 0.1, 2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 1 = -g - 1, -g = -5*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 43*q - 77 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1168122 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 5\/3*l**3 - 75*l - 35*l**2 + 71. Factor n(c).\nAnswer: 5*(c - 15)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62996120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trrr when four letters picked without replacement from tttrttrtttrttttrtt.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.681042mm?\nAnswer: 0.0681042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 4.5. Let t = -2035\/8 + 254. Which is the nearest to -0.2? (a) t (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12181\/6, -5, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*b = 1205587 + 2040117. Does 77 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 0*y - 2*y + (-3*y - 2*y + 4*y)*(-3 + 1 + 0))*(-3*y**2 - 2*y**2 + 3*y**2) as s + p*y + x*y**2 + v*y**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + 6*i)*(2*i - 3*i + 3*i) - 2*i**2 - 3*i**2 + 3*i**2 - i + 5*i**2 - i**2 - 5*i**2.\nAnswer: 9*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**5)\/a)\/a*(a*a*a**(2\/15)*a)\/a)**46*(a\/a**2)\/(a\/a**(-5))*(a**(-1))**7 assuming a is positive.\nAnswer: a**(4022\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 - 4*m**3 + m**3 + 8*m**3 - 2*m**3 - 4*m**3 + 2*m**2 - 2*m**2 - 7*m**3 + (-4 + 2 + 4)*(0*m**3 + 2*m**3 - m**3) + (0 - 5 + 0)*(-m + m + m**3).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0 + 3 = 0. Suppose 0 = -c - 5*m + 3, -l*c + 3*m = -37 + 10. Suppose -n + c + 5 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 10*p - 46. Let z = 188 - 194. What are the prime factors of w(z)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, u: 2}. What is prob of picking 1 e and 2 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 40, -5, -37?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x. Let k(p) = -51*p + 23*p + 21*p. Determine k(q(u)).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2016, 3991, 5968, 7947, 9928, 11911, 13896?\nAnswer: 15883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12660, 24926, 36764, 48174, 59156?\n\"Answer: -214*t**2 + 12908*t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 32*g - 42 + 0*g**2 + 83 + 77 - 9. What is a(-28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 52*x + 2058. Give z(-58).\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31083 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-6 - (-4 - 0)) + 4 and 452.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*x - 35. Let o be (-84)\/(-18) + (-4)\/6. Suppose j + 5*k - o*k = 3, -5*k + 7 = -3*j. What is the highest common factor of x and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1064 (base 15) to base 4.\nAnswer: -312031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-30)\/8 + 1*(2 - 1) and -33\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -2648\/62073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 11:57 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-4)*196\/(-49)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 - 96*n**2 + 2*n**3 - 163*n**2 + 263*n**2.\nAnswer: -7*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**20*u**(1\/19)*u**(2\/23)\/((u**(-1)*u)\/u*u*u) assuming u is positive.\nAnswer: u**(-8679\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q + 2*q - 2*q**3)*(2 - 4 + 3) - 3*q - 3*q**3 + 3*q)*(-3*q + q + 3*q + (q - 3*q + q)*(3 - 5 + 0) + 2*q + 4 - 4) - 2*q**4 + 9*q**4 + q**4.\nAnswer: -17*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 65562 divided by -9366.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1367\/13 + 105. What is the nearest to 2 in c, -3, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 321*u**2 + 54*u + 241. Is d(-40) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-2)\/((-4)\/8*2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express l - 24 + 9 - 14 in the form d*l + o and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (-15 + -11 + 9 + 46).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = a - 5*m, 2*a + 6*m - m = -59. Let q = a - -21. Suppose -q*j - 2631 = -76231. What is j rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 224928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/1 - (-40)\/(-1 - -9). Suppose -h - v*a + 5 + 303 = 0, 5*h - 3*a = 1512. What are the prime factors of h?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -6 + 54. Let s be ((-18)\/(-2))\/((-2)\/8). Calculate the common denominator of 31\/6 and 39\/s*(-16)\/v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2770 = 3*j, -29*j - 5540 = -2*k - 28*j. Does 78 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 7*z**2 + z + 9. Let i be f(-7). Let h(g) be the second derivative of g**4\/3 - g**3\/3 - 4*g. What is the tens digit of h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16891, 16889, 16887?\n\"Answer: -2*c + 16893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, u: 2, m: 2, w: 2}. Give prob of picking 3 k.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1140199084*a*s**2 + 2*a*s - 1030*a - s**2 - 18*s - 2659 wrt s.\nAnswer: -2280398168*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 2*v + 2. Let r be y(-4). Let g be (-12)\/(-5) - r\/25. Solve -g*z - 14 = 4*s, z + 26 = -4*z - s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10316228.\nAnswer: 2, 13, 29, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**2 + 136*t - 972. Let j(i) = -55*i**2 + 1495*i - 10690. Let q(v) = 4*j(v) - 45*k(v). Factor q(x).\nAnswer: 5*(x - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 18. Let c be g(9). Solve c*v - 8 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-2)\/(-6))\/(6\/36))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6987*j - 7907*j - 133400 for j.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2899?\nAnswer: 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11*(-12 - (8 + -19)). Let t(j) = j**3 + 5*j**2 + 1. Let z be t(-5). Calculate the highest common divisor of z and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**9\/9072 - h**8\/1008 - h**4\/8 + 19*h**2. Let d(u) be the second derivative of z(u). Solve d(x) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10100001000011 (base 2) to base 6\nAnswer: -115415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -5, 0.2, -51?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 640 = -0*a. Calculate the highest common divisor of a and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06389944252 rounded to three dps?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p + 1175 = 1823. Solve p*v = -55 - 17 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*l + 7. Suppose 48 = l*d - 22. Solve t = -t + d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5677 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 111 = 2*f - 0*c, 3*f - 5*c = 173. Let j be -3*(-2)\/(-12)*-362. Suppose -5*w + j = f. Is w a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 18. Suppose -3*i - h = -1, 2*i + 2*h = 3*i - l. Factor -4*v**2 + v**i + 5*v**2 - 2*v.\nAnswer: 2*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5 = p. Suppose -1 = -p*d + 24. Determine y, given that -5*y**4 - 3*y**5 + 2*y**2 + 2*y**d + 2*y**4 - 2*y**3 + 3*y + 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Suppose 5 = a*k - 3. Solve k*x + w = -0*x - 8, -3*x + 4*w - 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 273\/15)\/(2\/10). Let j = 82 + p. Let z be ((-1)\/((-20)\/j))\/((-2)\/(-5)). Let h(b) = 2*b**2 - 2*b. Give h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7073640 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 833\/(-49)*(-1)\/2.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.135 and 170.17?\nAnswer: 170.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*x - 17, 2*x + 0*x = 3*s - 12. Let t be (-2)\/(-5) + 106\/10. Find the third derivative of 30*z**6 - 33*z**6 + 2*z**2 - t*z**s wrt z.\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -503466, -505421, -507376, -509331?\nAnswer: -511286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilometer in meters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7748 + 1436. Is t a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4404*g - 4410*g + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183 and 112911?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-168)\/18*(-6)\/4. Suppose g = -a - a. Let f(r) = r**3 + 8*r**2 + 5*r - 4. What is the units digit of f(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000042389454 to seven decimal places.\nAnswer: -0.0000424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40830665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -4. Let b(n) be the third derivative of -n**6\/120 + 7*n**5\/60 + n**4\/8 - 4*n**3\/3 - n**2. Is b(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2 + (-5 - 1 + 3)*(-1 - 1 + 4))*(2*s + s - 2*s) + (3 - 8 + 0)*(-12 - 19 - 2)*(5*s + 3*s - 6*s).\nAnswer: 323*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-7)*((-68)\/(-6))\/17. Sort 3\/8, 12, f, 0.5 in decreasing order.\nAnswer: 12, 0.5, 3\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 107\/3. Let n = 9 - -1. Let l = n - 10.1. Put f, 0, l in descending order.\nAnswer: 0, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157539.24 minutes in hours?\nAnswer: 2625.654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*h + 81, -5*c + 2*h + 82 = -50. Suppose 0 = 3*z + 3*r - c - 25, -40 = -2*z - 4*r. Calculate the greatest common factor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11900 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.7 - 34.9. What is the smallest value in -135, -3, h?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 46\/15568269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m + 769 = -2*m - 21*m + 43*d - 38*d, 5*d = 585 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = 12*h + 272. Let n be (-5 - h\/8)*32. List the prime factors of 439\/9 - n\/(-72).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 997162288 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*z - 1584989, n + 1148*z = 1146*z + 317009. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24364, 48652, 72940, 97228, 121516?\n\"Answer: 24288*u + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**2. Let t(y) = y**3 - 7*y**2 - 8*y. Let k be t(8). Let u(x) = 0*x - 5*x + 4*x + k*x. What is c(u(v))?\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4250167996?\nAnswer: 2, 1062541999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -558*m - 17175. Calculate l(-31).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j + 44. Let z be p(-3). Suppose -z*u = -25*u - 3. Solve -u*d = -d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42cc6 (base 15) to base 3\nAnswer: 101202222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -161, -165, -169, -173, -177, -181?\n\"Answer: -4*p - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**2 - 136*k - 372 = 0 for k.\nAnswer: -31, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*k + 7*k. Which is the nearest to -0.1? (a) -8 (b) 0 (c) k (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935 is divided by 179?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-1)**2 + (sqrt(2) - (sqrt(8)\/sqrt(4) + -3)**2) + -1 + 0.\nAnswer: 7*sqrt(2) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 20*r. Suppose 4*t - 720 + 252 = r. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from otnlcttlnt.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -549560 divided by 5?\nAnswer: -109912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352) + (sqrt(352) - (sqrt(352)*1 + sqrt(352))*5))*-1)\/(2*sqrt(50) - (sqrt(2) - -4*sqrt(8))).\nAnswer: 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4126 + c9a?\nAnswer: -348c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1175341 (base 10) to base 8.\nAnswer: -4367455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q**2 - 4*q**2 - q**2 + 8*q**2. Let r(o) = o - 1. Let y(t) = -t**2 + 4*t - 4. Let f(v) = -4*r(v) + y(v). What is f(j(l))?\nAnswer: -64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -20813.8.\nAnswer: -4162.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -12 - (-1)\/(-2)*5?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1 - 2*u - 10*u**2 + u + 11*u**2 - u**3 + 0. Let v(d) = 3*d**3 + 10*d**2 - 7*d + 18. Let p(b) = 4*a(b) + v(b). What is the tens digit of p(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9*m**2 - 2*m. Let t(z) = -9*z**2 - 3*z. Let f(v) = -9*l(v) + 6*t(v). Let p(i) = i. What is f(p(h))?\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523 + 12*c**3 - 143 - 141 - 140 - 99.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 3:27 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*p**2 - 106*p**2 - 100*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-716)\/8*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u = 36. Let g(o) = 1. Let f(j) = j + 1. Let m(c) = -3*f(c) + g(c). What is the remainder when m(-9) is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128350309?\nAnswer: 5197, 24697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 20*x**3 - 7*x**2 + 41*x - 34. Calculate g(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*c = -135, -4*c + 138 = 4*o + o. Let f be 842\/(-15) - (-4)\/o. Is (-5)\/(20\/f) - -2 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.55 - -0.010436?\nAnswer: -2.539564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14620*c**2 + 29222*c**2 - 14605*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37422910?\nAnswer: 2, 5, 7, 37, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 7*g**2 - g - 5. Let n(c) = -c + 4. Let x be n(-3). Let q be v(x). Is 6 a factor of q\/8*(2 + -14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 21*q - 130. Let r be d(-26). Solve r = 4*v - 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 1:15 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 126359095843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/357553 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*p = -118 - 38 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**4 - 15480*t**3 - 814604*t**2 + 1675656*t - 845570 = 0.\nAnswer: -7687, -55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -n, v + 65*n - 70*n - 148 = 0. Solve -v*s - 6 = -137*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = 12*q - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2*256\/(-6))\/((-3)\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9)*21\/6*(-648)\/(-504).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**2 + q**2 - 4*q**2)*(-q + 0*q + 2*q)*(2*q - 2 + 3 + 0*q).\nAnswer: 6*q**4 + 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 113388*v + 340137.\nAnswer: 3*(v - 37793)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 371120 = 16\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 5.5?\nAnswer: 71.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*q + 12 = 0, 4*v + v + 4*q - 21 = 0. Let j(i) = -i**3 - i**2 - i - 3. Let z be j(0). Sort v, 0, z in decreasing order.\nAnswer: v, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**5 + 149*c**3 - 6*c - 14?\nAnswer: -20*c**3 + 894*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 40 + 32. Suppose 5*r = -u*r + 9. Let i = 3 + -2. What is the remainder when r is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + 0.5. Let o = 1.1 - f. Which is the second biggest value? (a) o (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37449862154 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((6\/4)\/(12\/(-6))). Let a be -4*(-6)\/16*j. Let s(l) = -l**2 + 12*l - 3. Calculate the remainder when s(a) is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 14*k = 3048. Suppose 85*t + k = 86*t. Suppose t + 10 = 2*d. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271913859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6071531.\nAnswer: 6071531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21827 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*c + 2*c - 25, -c = 2*i - 7. Suppose -a - 4*f = f + 6, 6 = 2*a + f. Suppose -5*p = -0*p + 20, w - a*p - 11 = 0. Put -1, i, w in ascending order.\nAnswer: w, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 2:31 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8*9\/96)\/((-3)\/4))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 60603, 121216, 181829?\n\"Answer: 60613*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6587020\/605 + (-4 - (-144)\/33). Which is bigger: d or 10887?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.9801933 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 t when three letters picked without replacement from {f: 2, b: 3, t: 4, h: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4*o = -41 - 8, -21*o - 104 = 3*a + 166 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.4, 40, -1\/7 in increasing order.\nAnswer: -0.4, -1\/7, 0.5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1958*-19.873\nAnswer: -38911.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13\/63 + 3\/7. Is b at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/9 - 16276*b**2\/9 + 163360*b\/3.\nAnswer: -2*b*(b - 30)*(b + 8168)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6430336*i**3 - 30088*i + 15 wrt i.\nAnswer: -38582016*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*q**3*s**3 + 4242870*q**3 - 2*q**2*s**3 - 3*q**2*s**2 + 3*q*s**3 + q*s**2 - 35053*q wrt q?\nAnswer: 24*s**3 + 25457220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1648689001 and 404.1.\nAnswer: -1648688596.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, 8900 in increasing order.\nAnswer: 3, 8, 8900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**3 + 8*y**2 + 7*y - 12. Let o(x) = 5*x**3 + 8*x**2 + 7*x - 13. Let q(p) = -4*h(p) + 3*o(p). Calculate q(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5534 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70422 and 717046?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7, 330, 867, 1618?\n\"Answer: 107*a**2 + 2*a - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202189218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 8*r - 5*r - r + 3*r + 79 = 0, -23*r - 341 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-116)\/9*(-6)\/140 and ((-2)\/(-42))\/((-3)\/(-603)*3).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*a - 11 - 14, -a + 5*u - 3 = 0. Suppose 0 = -a*x + 18 + 31. Find the first derivative of -8 - 8 - 36*g**2 - 10 - x wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 111 = -m, -3*m = -5*m + 6 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1340*n + 66 = -23*a - 1341*n, -5*n - 142 = 4*a + 69 + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -1609*l**3\/6 + 4651*l**2 - 22928*l + 69184\/3 = 0?\nAnswer: 2162\/1609, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1444.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = -4*o. Suppose 0 = 2*f + o*f. Let d(g) = 5*g**2 + 5*g + 9. Let b(u) = 6*u**2 + 6*u + 9. Let t(i) = -4*b(i) + 5*d(i). Determine t(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5571, 11193, 16823, 22461, 28107?\nAnswer: 33761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.052 times -0.2\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -454645*b**2 - 195*b + 4822 wrt b.\nAnswer: -909290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/355076 and 39\/61220?\nAnswer: 1775380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**6\/60 - q**5\/60 - 3*q**2\/2 + 5*q. Let f(w) be the first derivative of m(w). Is f(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 - -88. Suppose -28*b = -20*b + v. Let s = 390 + -4287\/11. Is s equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, t: 2, g: 2, h: 5}. Give prob of sequence gkgh.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiqeiieqiiiii. What is prob of sequence ie?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6360 (base 7) in base 9?\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*i = -5*k + 55*i - 55, 2*k - 14*i = 44 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83363 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-30)\/(-26) - 1). Let a = j - -28. Let d = a - 11. Let g(l) = -2*l + 4. Give g(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(26)\/sqrt(2))**2*-1 + sqrt(39)\/(sqrt(3)*4) + 2 + sqrt(52) + (sqrt(637) + -2*sqrt(637))**2).\nAnswer: 27*sqrt(13)\/2 + 3756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31100 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6519687*k. Let d(f) = -15*f. Determine r(d(g)).\nAnswer: -97795305*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 21 + 7)*(2*o**3 + 0*o**3 - 4*o**3).\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3*x - 3)*(-2*x + 2*x - 3*x) + (4*x + x - 3*x)*(x + 0 + 0) + 3*x**2 - 3*x**2 + 2*x**2 + 2*x**2 - x**2 + 0*x**2 to k*x**2 + g + d*x and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 + 34*g\/3 + 65.\nAnswer: -(g - 39)*(g + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1199*r**3 + 5*r**2 + 17*r. Let j(l) = 600*l**3 - 2*l**2 - 7*l. Determine -5*j(o) - 2*u(o).\nAnswer: -602*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2)*(-3*g + 53 - 30 - 26) in the form f*g + m and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -24*j + 250. What is the remainder when 347 is divided by h(8)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -786 + 2086 = 13*f. Let i be (12\/(-135))\/((-10)\/f). Factor -2\/9*q**2 - i*q - 2\/3.\nAnswer: -2*(q + 1)*(q + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 1)*(-1 + 1) + -58. Does 57 divide 6\/2*(-1 - f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2*k - 8 = 3*n, -2*n = -5*k - 3. Put k, -5, -12, -3 in descending order.\nAnswer: k, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 1\/9*z**3 - 6*z - 1\/18*z**4 + 1\/45*z**6 + 0*z**2 - 4 - 1\/30*z**5. Let t(s) be the first derivative of l(s). Factor t(f).\nAnswer: 2*f*(f - 1)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 42*s**2. Let o(a) = -2541*a**2. Calculate t(o(k)).\nAnswer: 271180602*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.71 times 6.21?\nAnswer: 10.6191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**4 + 2680*b**3 - 99876*b**2 - 829080*b = 0.\nAnswer: -705, -7, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1216.17 and 723.\nAnswer: 1939.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14607367667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -0.85. Let g = d - -60.85. Let p = g + -61.9889. Round p to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10298410 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 4. What is d(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 5, 1, -0.2, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + f**2.\nAnswer: -f**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 3 - 1 + 1 + 1 + (1 - 1 - 1)*(-4 + 3 - 1))*(-4 + 4 - p)*(-11*p - 26 + 26)*(-3*p + 5*p - 3*p) in the form h*p**3 + l + s*p + z*p**2 and give h.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 182123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2. Let r(y) = 3184*y**2. Give r(m(v)).\nAnswer: 3184*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1*w*w*(w*w**13)\/w*(w**(-2\/3))**19 assuming w is positive.\nAnswer: w**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.7 - -1.3. Let l be (-2)\/8*-6 - 2. Let s = 56.3 + -56. What is the third smallest value in s, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - o**2 - 4*o. Let v be a(3). What is the highest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*d**3*i + 2*d**3 + 589*d**2*i**3 - 3411 wrt i?\nAnswer: -4*d**3 + 1767*d**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**4\/12 - 7*z**2 - 2*z. What are the prime factors of i(9)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 o when three letters picked without replacement from qqoqqnqwoqqnqqwoqq?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 866573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.6909829 rounded to one dp?\nAnswer: -85.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -194601287*l**2*u - 473483616*l*u - u wrt l?\nAnswer: -389202574*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 491746 and 11289?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -7\/20*s**5 + 3 + 0*s**3 - 1\/6*s**4 + 3*s + 0*s**2. Let n(k) = k**3. Calculate -f(v) - 6*n(v).\nAnswer: v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.4 and 50.152.\nAnswer: -722.1888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(4\/3)*2. Suppose -12 = z*t - 0*t. Let x(r) = 131250*r**2 - r - 4. Let d be x(t). Round d to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6) + (-10)\/(-6). Suppose l = n - 24. Suppose -21 = -5*c + 4*x + n, -2*x + 2 = 0. Calculate the highest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ada when three letters picked without replacement from aadaaaaaaaaaaaa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-9)*(5 + -2). Is 16 a factor of a - (-21)\/(-12) - 315\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/1*5\/10)\/(-14)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 709947 divided by 191.\nAnswer: 3717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 x when three letters picked without replacement from pqxxwpppxwpxxwq.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 7:56 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -232 - 440. Let k = -122071\/12 + 10176. Calculate the common denominator of k and 3508\/l + (-2)\/7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 + 1 - 1)*(-3 + 5 - 3 + (-3 - 2 + 1)*(-2 - 2 + 6)) + (-53 - 10*q + 53)*(0*q + 0*q + q) to n*q**2 + b*q + s and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**3\/3 + 12*f**2 - 19*f - 4. Calculate the remainder when x(11) is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -924 by 15840.\nAnswer: -7\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1b2bb1 (base 12) to base 3\nAnswer: -220111022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (11 - 21) - 12) + -10.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 17. Suppose 0*z - 2*z - 2 = -2*g, 2*z = 0. Let n be ((-1)\/4 + (-2)\/(-8))\/g. Solve x*m - m + 3 = n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70 and 58.188.\nAnswer: -4073.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*z + 50*c - 302*z with respect to c.\nAnswer: 2*z + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 434*l. Let m(f) be the third derivative of f**5\/30 - 1521*f**2. Give m(w(d)).\nAnswer: 376712*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 504 - -359. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tththttthttttttthttt. What is prob of picking 3 h?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -38281 + -0.8\nAnswer: -38281.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 16. Suppose -l + 12 = s*l. Solve 0 = p - l*p + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - 1 + 7 - 4 + 3*g**4 + 3*g - 3*g - 3*g**4 + 3*g**4 + 6 - 6 + (6*g - 2*g - 2*g)*(0*g**3 + 2*g**3 - g**3).\nAnswer: 5*g**4 - 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 13 + 5 = 0. Let t(a) = -8*a**2 - 4*a + 6*a**2 + 3*a**2. Let q = 8 - 6. Let x(l) = -5*l**2 + 17*l + 1. What is p*t(w) + q*x(w)?\nAnswer: -w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 20 + 60. Suppose 0 = 13*o - 9*o - x. Solve n + 2 = -v - 0*n, 0 = -o*v + 3*n - 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by 62\nAnswer: 75\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29168 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 114*k**3 - k**2 - 3*k + 9. Let p(r) = -114*r**3 + 2*r**2 + 2*r - 6. Calculate -2*j(s) - 3*p(s).\nAnswer: 114*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1081 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((136\/476)\/(80\/126))\/((-6)\/(-8))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k = -80. Let i = -16 - k. Solve i*j + 5 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from bjnbdndmnbwbb.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -2773?\nAnswer: -2773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 41137, 2\/5?\nAnswer: 41137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/20*(1 + 55). What is the greatest common divisor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.383 - 193.383. Let t = q + 193.5. What is the closest to -0.3 in t, 0.15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - t**3 - 2*t**3 + 52 - 23.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110111110 (base 2) in base 9?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9118.\nAnswer: 2, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-1) - (59 - -1))\/(-2). Suppose h + t = 94. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 169656006 and 114?\nAnswer: 3223464114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b2b8 + 1?\nAnswer: -b2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2121.\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + 5\/10*0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/12 - 13\/(-4). Let y be 6\/z + 10 + 2. Suppose 4*w = 10 + y. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -221, 162\/17381, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*k + 10, -2*k - 24 + 8 = -4*g. Solve -8*s = 18 - g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 11*f**3\/3 - 89*f**2\/2 - 39*f. Differentiate q(y) with respect to y.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -2.42\nAnswer: 2.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - (1 + sqrt(171))) + 3)*3 + 5)**2 + -3.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -284\/3, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 10*l**2 - 20*l - 6 - 5\/3*l**3. Solve s(c) = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 22*y + 3. Give x(-24).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -1\/4, 13302, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l**2. Let q(u) = 13*u. Calculate q(b(w)).\nAnswer: 143*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 2 - 1)*(4 + 2 + 5)*(5*g - g + g) + 5 + g - 5.\nAnswer: -824*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2065 (base 8) in base 3?\nAnswer: 1110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 224.42 to 0 dps.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 7. Suppose -q = 4*q. What are the prime factors of f(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 12 = 2*n + 3*p, 0 = -n + 5*p + 20. Suppose -3*s - s + 20 = n. Suppose 0*m - s*m = -80. Calculate the remainder when 31 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.3807693s in weeks?\nAnswer: 0.00001551053125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 9. Let v be p(-8). Let m(a) = -a**2 + 70*a + 2635. Let h be m(97). Solve v*x - h = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1659 divided by 14\nAnswer: -237\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5920329 centuries?\nAnswer: 0.05920329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1758734, -1758670, -1758592, -1758494, -1758370?\n\"Answer: w**3 + w**2 + 54*w - 1758790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28287 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*s**2 - 872838*g**3 - 64*g**2*s**2 + g**2*s - 2*g**2 + 2*g*s - 82*s**2 wrt g.\nAnswer: 6*s**2 - 5237028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w**2 - w**2 - 23*w**6 + 29*w**6 wrt w.\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2654831\/2986695 + 1\/331855. Find u such that 0 - 1\/9*u**3 + u**2 - z*u = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 - 18*h - 14. What is y(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.598 + 0.262. Round d to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from eweeeeieeiiieiiee.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/12 in -3\/5, -0.2, -28, -1\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2. Let v = -146 - -143. Let b(q) = -10*q - 57. Let r(n) = v*w(n) - b(n). Differentiate r(t) with respect to t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnbbbbbbbbnncbb. Give prob of picking 1 b, 1 c, and 1 n.\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -126 + 300 + -154 + (126 - -4)?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 0.297834\nAnswer: 3.702166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 473 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**2)\/(v\/(v*v**3)*v))\/((v**(-2\/21)*v)\/(v\/((v**(1\/9)\/v)\/v*v))) assuming v is positive.\nAnswer: v**(125\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -62, 0, 3 in decreasing order.\nAnswer: 3, 0, -3, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4032) - sqrt(4032)*2 - sqrt(63)) + sqrt(63))\/(sqrt(1008) - (sqrt(1008) + sqrt(1008)*1) - sqrt(1008)))\/(((2*sqrt(180))\/sqrt(6))\/sqrt(10)*-5).\nAnswer: -sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**4\/5 + 44*h**3\/5 - 264*h**2\/5 + 16*h + 320 = 0.\nAnswer: -2, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -87 - 58. Let f = a - 26. Let j be ((-10)\/f)\/(2 - 28\/12). Solve n - 4 = -y, 0 = 5*y - 5 - j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*1\/3*12*(-7)\/56?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 2. Let a(n) = 5*n**2 + n - 4. Let z(u) = 4*a(u) - 9*k(u). Calculate the lowest common multiple of z(-3) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102304011 (base 5) in base 13?\nAnswer: -1216a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 0.5, 3, 1\/50 in decreasing order.\nAnswer: 3, 2, 0.5, 1\/50, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5968487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3 - 13. Suppose w = -d + 2*d. Suppose 4*h = 1 - d. Put 5, 0, h in decreasing order.\nAnswer: 5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. Let y be -1*(0 - f) + -5. Suppose -5*i = 3*s + 2 - 12, -s - 5*i = 0. Sort s, y, -8 in ascending order.\nAnswer: -8, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3171, -3215, -3257, -3297, -3335, -3371, -3405?\nAnswer: -3437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44769 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: What is the difference between -1 and 297.989416?\nAnswer: 298.989416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986 is divided by 241?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -63800000 to the nearest 1000000.\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18700 + -374077\/20. Find the common denominator of w and (-459)\/210 - -3 - (-6)\/21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300545 (base 6) in base 7?\nAnswer: 664445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 399 divided by -9\nAnswer: -133\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 283*q - 379*q.\nAnswer: -96*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39647698?\nAnswer: 2, 29, 31, 22051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/53 - -79\/477. Let t = 5 + -14. Let r = t + 9.2. Sort i, -5, r in descending order.\nAnswer: i, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 51 + -4 + 2. Let a = o - 25. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 165 = 3*m. Let z be -28 - -30 - ((0 - -3) + -72). Let b = m - z. Solve -3*c + y + b = 3, -3*y + 23 = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-6\/7)*q\/((q*q**(17\/4))\/q) assuming q is positive.\nAnswer: q**(-39\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 443*l**2 + 4*l - 23. Is c(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w - 8. Let f be z(4). Suppose -1 = k + f, -5*j + k = -80. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -2561, -7403, -14619, -24209?\nAnswer: -36173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/9)*o)\/((o*o**(-1\/2))\/o))\/(o\/(o\/(o*o**(2\/11)))*(o*o*o**(-4))\/o) assuming o is positive.\nAnswer: o**(701\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.454 - -0.254. What is the smallest value in -1\/4, g, 4\/29, -2\/15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 204511*k**2 + 0 + 2 + 0 + 536640*k**2.\nAnswer: 741151*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 12*a**2 - 8*a + 23. What is f(-11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25.6 in -2, 22655, 1\/14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 5*d**4\/8 - 5*d**3 + 55*d**2\/4 - 15*d + 46. Suppose n(s) = 0. What is s?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/60*1\/((-4)\/(-18)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 8*w - 4. Let k be q(-3). Suppose -6*s = -k*s + 5. Let a be ((-4)\/14*-1)\/1. Are s and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2441304300 (base 5) to base 11\nAnswer: -3306832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 4287.219?\nAnswer: -17148.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 25 = z, 3*n = z + 4*z + 29. Let q = -3034\/9 - -336. Find the common denominator of n and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p**(5\/9))*p)\/(p\/(p\/(p**(2\/29)\/p))))\/(p**(3\/13))**(-13) assuming p is positive.\nAnswer: p**(1403\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/40 - (-22)\/8. Suppose -c - 3*c + 443 = 5*h, -s*h + 336 = 3*c. Let p = c - 317. What is p rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 581362?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epr when three letters picked without replacement from pwspfpfprppppep?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 - -0.09. Let a = 0.04 - 11.04. Let u = a + 11.5. Sort -1, u, y.\nAnswer: -1, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, e: 3, n: 4, h: 3, r: 3}. Give prob of sequence eqre.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 54 = -4*f, -3483*o = f - 3482*o + 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 6*j - 3. Let m be u(4). Suppose p - m*i - 2 = -3*i, 5*i = p - 5. Factor p + 3\/7*b - 12\/7*b**2.\nAnswer: -3*b*(4*b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i - 13 - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r**(-20\/9)\/r)\/r))\/r)\/(r**(-22)\/r))**(4\/25) assuming r is positive.\nAnswer: r**(196\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1518 - -1510.19. Let x = -7.2 - l. Round x to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 14*x - 9*x + 10, -5*x - 3*h = -25 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 243.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2) + sqrt(2) + sqrt(14)\/(sqrt(14)\/sqrt(2) + sqrt(7) - sqrt(7)) + (-1 + -1*sqrt(2))**2 - (0 + sqrt(72))**2*6)*-1.\nAnswer: -20*sqrt(2) + 1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 1 - (247 - 234)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 608*o + 29. Let c(x) = -3040*x - 160. What is -2*c(w) - 11*d(w)?\nAnswer: -608*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 327170.7 decades to millennia.\nAnswer: 3271.707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**3 + 110*u**2 - 987*u + 2980. Let d(k) = -3*k**3 - 73*k**2 + 658*k - 1985. Let h(z) = -8*d(z) - 5*w(z). Factor h(q).\nAnswer: -(q - 20)*(q - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.56 + 0.14. Let q = 112 + -113. Sort q, u, 5.\nAnswer: q, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**4\/k*k)\/k)\/k)**(-34))**(-3) assuming k is positive.\nAnswer: k**204","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -71. Put r, 0, 0.08 in descending order.\nAnswer: 0.08, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8262*m**3 - 2*m**2 - 24*m + 25. What is the units digit of g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24.3? (a) -0.3 (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 13 - 27. What is the lowest common multiple of k and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -9*l - 0. Calculate the remainder when 15 is divided by ((-15)\/(-80))\/(1\/l)*-20.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 36.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(171) + -4*-2*sqrt(171))\/(sqrt(486)\/sqrt(6)).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 1. What is the smallest value in -3, d, 14?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -67183?\nAnswer: -67189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 6, -2*s - 497 = -c - 2085. Suppose n + 3*p = p - 265, -3*n - s = -4*p. Let y = n - -497. Is 34 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-246)\/(-36) + 21\/(-14)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**3 - 5*h**2 - 6. Let a(c) = c**2 + 1. Let u(k) = -5*a(k) - j(k). What is the derivative of u(f) wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/5 - 78*l\/5.\nAnswer: -3*l*(l + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-8))\/(((-9)\/6)\/(-3)). What is the hundreds digit of (y + (-13362)\/18)*9\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130310, 521236, 1172790, 2084978, 3257806, 4691280?\nAnswer: 6385406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.6, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i**2 + 3*i + 4. Let p(d) = -15*d**2 - 5*d - 7. Suppose 209 + 451 = -60*x. Calculate x*o(z) - 6*p(z).\nAnswer: 2*z**2 - 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1351623*i**3*t**3*y**3 + i**3*t**3 + 334*i**3*t**2*y**3 + 5*i**3*t**2*y + 10*i**3*y**3 - 4*i**2*t*y wrt t?\nAnswer: 8109738*i**3*y**3 + 6*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kttkkkkdkkkkkgt. Give prob of picking 3 k.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q - 124. Let f be h(-18). Solve g - 2*x + 7 = 0, -5*g - 7 - 4 = -f*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -606 divided by -6?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 7. Which is greater: -2\/21 or o?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*f - 8, 0*f - 6 = 3*f. Find the second derivative of -42*x + 40*x - n*x**4 - 2*x**4 - x**4 wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1030.5 to the nearest 10.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 + 0*s**2 - 4*s**2 - 2*s**2 + 6*s**2 - 3*s**2 + (2*s + 2 - 2)*(s - 4 + 4) - s + s + s**2 + 55*s - 55*s - 2*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23968\/2464 + 1\/(22\/6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50327, -100706, -151109, -201536, -251987?\nAnswer: -302462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 48\/5 of a hour?\nAnswer: 34560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1828, -2077, -8578, -17669, -29344, -43597, -60422, -79813?\nAnswer: -101764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1.86. Let y = 0.135 + -1.515. Let c = y - u. Round c to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 0 - 2\/105*b**6 - 11*b + 0*b**2 + 0*b**4 + 0*b**3 + 0*b**5. Find j, given that k(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*k + 561*k - 10519 - 2501 = 0 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + (8 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23527 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, z: 6, k: 2, j: 9, a: 1}. Give prob of picking 2 k and 1 z.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 22*x - 1. Let n be t(1). Solve -22*j = -n*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/324)\/(((-2)\/(-80))\/(162\/(-135))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 13*n - 1. Let c be i(1). Suppose -y = 3*y - c. What is the second derivative of 0*t**3 - y*t**3 - 5*t + 3*t wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m**3 + 28 - 28)*(-2*m + 4*m - 3*m) - 10*m**2 + 3*m**2 + 8*m**2 - 3*m**4.\nAnswer: 3*m**4 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h + 18. Let i(u) = u. Let x(v) = 4*i(v) + m(v). Let q be x(11). Is 4 a factor of ((-17)\/q)\/(4\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmfjrjjajjrjcj. Give prob of sequence cj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1252964075, 1252964073, 1252964071, 1252964069, 1252964067, 1252964065?\nAnswer: 1252964063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aapaalpegaaaaaaaa. Give prob of sequence eppg.\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7616 is divided by 488?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228 - 11*v**2 - 228.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*c**2 - 23091*c + 3849.\nAnswer: -3*(c + 1283)*(6*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14765*(-4 + 7 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-2 - -2 - 3). Let j be ((-1)\/(-2))\/(i\/(-168)). Does 14 divide (-6 + 8)\/(2\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -61, -82, -143, -268, -481, -806?\n\"Answer: -4*o**3 + 4*o**2 - 5*o - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 - 3*p - 3. Let a(q) = -3*q**2 - 2*q - 2. Let r(y) = 3*a(y) - 2*h(y). Let z(m) = -7*m. Give r(z(n)).\nAnswer: -245*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 968 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*h - 6 = 19*h + 52 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110010 (base 2) in base 16?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352910.\nAnswer: 2, 5, 35291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/3054 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126721889 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 - 3 + 0 + t**3 - 4*t**3.\nAnswer: 2*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 37. Suppose g = -0*v - 2*v + 8. Suppose -128 = -v*u + 220. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 9532170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1482385?\nAnswer: 3\/1482385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 196*o + 2681. Give x(-15).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10*-6)\/(-4) - 4. Let q = 419 - 298. Calculate the greatest common divisor of q and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 11262*v + 123756. Give l(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*i - 5. Let d be (2 - 3) + 0\/(-2). What is the closest to d in 1\/2, i, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 26*k**2 + 60*k + 21. What is the least common multiple of l(-15) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*s = -30, 2*j + 0*s = -s + 75. Suppose 0 = -3*d + 3*a - j + 165, 5*a - 89 = -3*d. Suppose 4*p - d = 2. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.6 + 0.6. Round m to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*v**3 - 33824*v**2 + 4383236*v + 22769780.\nAnswer: 4*(v + 5)*(4*v - 1067)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + 11 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142900149 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/681 and 43\/55794.\nAnswer: 12665238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1505 is divided by 726.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182.4 + 333.82085063.\nAnswer: 516.22085063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83*g**4 - 2*g**3 + 105 wrt g?\nAnswer: 332*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 5 - 19 = 0. Put j, 1, -11 in descending order.\nAnswer: j, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 12, 433, -2.\nAnswer: -7, -2, 12, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 5086055?\nAnswer: 1017211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 36.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24365, -48896, -73503, -98180, -122921, -147720, -172571, -197468?\nAnswer: -222405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k + 32 = 0. Suppose 2*n + 0*n = 82. Let p = -27 + n. Calculate the remainder when p is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d3f (base 16) in base 13?\nAnswer: -71a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2176 + 2163. Let g(d) = -d**3 - 11*d**2 + 26*d - 33. Give g(q).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7514012*l**3 - 4802961*l**2.\nAnswer: -45084072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) 10 (b) -203 (c) 1\/2 (d) -5\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4939 - 2470 - 2469 + 5380*z.\nAnswer: 5380*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 46, 37, 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + m + 6. Calculate r(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (146\/(-365))\/(228\/(-12350))\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*sqrt(153)*2 + sqrt(153))\/(sqrt(108)\/sqrt(3)) + 2.\nAnswer: 2 + 45*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 4. Suppose v*f = -3*m + 4, 4 = -3*f + 5*m + 20. Suppose 2*b - 9 = 3*t, -3*b + 5*b - 5*t = 11. Solve h + f*h = b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -12, -14?\n\"Answer: -2*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -175 in 3, 8332, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14477518.\nAnswer: 2, 11, 658069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.097 + 0.0675. What is r rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 3. Let f(u) = -u - 1. Calculate -d(w) - 5*f(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 99\/2, -3124.8, -0.7?\nAnswer: -3124.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149075163.\nAnswer: 3, 257, 64451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -21. Solve 4*q + q = -2*t - 19, -5 = z*q + 5*t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3759709 is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 16, -168, -540, -1166, -2112?\nAnswer: -3444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-4) + -2 + 0. Let h = -2.46 + -58.74. Let y = -61 - h. Sort y, 2\/9, m in increasing order.\nAnswer: y, 2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**3*i**4 + f**3 + 547*f**2*i**4 + 939*f**2 wrt i.\nAnswer: -4*f**3*i**3 + 2188*f**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/1008 and 79\/2514792?\nAnswer: 15088752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 40, 85, 148, 229, 328?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -440841*j**3 - 3*j**2 + 1243470*j - 4 wrt j.\nAnswer: -2645046*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x - 1789 = z + x - 1827, 0 = -5*z + 3*x + 128 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -42550.619 and 808.\nAnswer: -41742.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12c6 - -2?\nAnswer: 12c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -26 + 2 + 53 + -4 + -38.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -312, -0.04, 264 in decreasing order.\nAnswer: 264, -0.04, -4, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22173 is divided by 6814.\nAnswer: 1731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72772 and 145544?\nAnswer: 145544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7))**(1\/25))**(2\/9) assuming z is positive.\nAnswer: z**(-4\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a factor of 1616428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 12:07 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 649759556 to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1440 = 237*m + 492. Solve -2*k + 1 - 5 = 0, 4*k + 20 = m*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80*a*i*v**2 - 2*a*v**3 - 73*i*v**3 + i*v**2 wrt a.\nAnswer: 80*i*v**2 - 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 258379*r - 258380.\nAnswer: (r - 258380)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.647 - 0.353. Which is the nearest to -1\/4? (a) -5 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**4\/24 - 3*x**3\/2 + 10*x**2. Calculate n(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-377)\/(-261) + 4\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 245*b + 156. Let f = -143 - -148. Is z(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 8:26 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 154049.\nAnswer: -2\/154049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 3*b + 3. Let d(o) = o**2 + o + 3. Let n be d(0). Let x be l(n). Let f be (12\/18)\/(-4 - (-152)\/36). Do f and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193239191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -37 + 17 - (-7 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 74*g - 398. Let o(u) = -1608*u**2 - u. Determine q(o(a)).\nAnswer: -118992*a**2 - 74*a - 398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1962413*q - 1962884*q + 3176 - 65348 for q.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -114 (b) 549 (c) -0.4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1199713 and 5599?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**6\/6 - 14*z**3 + 9. Find the third derivative of f(k) wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (4 + (-1 + sqrt(2))**2)) + (sqrt(2) - sqrt(32))**2.\nAnswer: 3*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 15. Suppose 5*w + 19*p = 21*p + 118, 3*p = -2*w + 51. Suppose -5*x - w = -i*x. Calculate the highest common factor of 96 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000042913 to seven decimal places.\nAnswer: 0.0000429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 31*h**5\/4 - 457*h**3\/6 + 140*h**2. What is the first derivative of z(p) wrt p?\nAnswer: 930*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1914*d**4 - 20*d**3 + 5*d**2 + 5*d - 1109. Let f(u) = -u**4 - 4*u**3 + u**2 + u - 1. Let o(j) = 5*f(j) - g(j). Differentiate o(p) with respect to p.\nAnswer: -7676*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -270 - -121. Let l = -265 + 185. Let c = l - j. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*b**2 - 1112*b - 1116*b + 439*b**2 + 2231*b to r*b + g*b**2 + z and give g.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*29\/(-1740))\/2.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (33\/(-21) - -5)\/(2\/21). Calculate the highest common divisor of 144 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3553\/6 - 592. Let h(q) be the second derivative of 0*q**2 + 0 - m*q**4 + 0*q**3 + 9*q + 2\/5*q**5. What is the third derivative of h(g) wrt g?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 14) + 1 + (-2 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 5038906 - 21546757 = 1681557. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2848523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -7. Let v(z) = -4*z - 2. What is the tens digit of v(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41566 (base 8) to base 6\nAnswer: -211542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366259666670781 + 12*f**2 - 366259666670781.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = s - 12 - 2, -5*s - 2*n + 31 = 0. Suppose -3*q = -v - 4, -2*v + 8 = 2*q - 0. Let y = q + 1. Solve -4*p + 7 = -s*c, 3*c + 2 + y = 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 519*x - 1061*x - 881*x - 1128*x + 470*x to the form f + d*x and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*v**3 + 84 - 84 - 27*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:26 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 17009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6542961 - -0.011.\nAnswer: 6542961.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:42 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2146 + 1?\nAnswer: -2145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 10. Suppose 2*s = v*r, 1 - 9 = s - 3*r. Solve 12 = z - s*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11*u**3 - 21*u**2 - 3. Let f(g) = 6*g**3 + 11*g**2 + 2. Let x(s) = -6*s**2 - 354*s - 7. Let i be x(-59). Calculate i*f(z) - 4*j(z).\nAnswer: 2*z**3 + 7*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2. Suppose 5*j - x = 10, j - 2*x - 2 = -4*x. Let m(o) = o**2 + o - 2. Let v be m(j). Let p(c) = v*c + c + c. Calculate p(l(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24168.97ml in litres?\nAnswer: 24.16897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 16) to base 3.\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 103 = -103. Suppose -4*n - 4*p + 804 = x, -2*n + 6*n = 3*p + 818. Is 29 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 356*z**2 - 2296*z.\nAnswer: -4*z*(z - 82)*(z - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13294 - 13294 - 50*n**3.\nAnswer: -50*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 78 + 73)*((0 + 0 - 1)*(3 + 0 - 5) - 2 + 2 + 2 + 3 - 7 + 3)*(k**2 - 2*k**2 - k**2) to the form m*k + c*k**2 + j and give c.\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(27) - (sqrt(27) - (-1*sqrt(324))\/sqrt(12))))\/(4*sqrt(27)\/sqrt(3) - -3*(sqrt(81) + sqrt(9)))*-1.\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 16*c + 5*c - 5*c + 4*c + 0*c + (-4 + 3 + 3)*(0 + 0 - c))*(21 + 13 - 14).\nAnswer: -300*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.3? (a) -23 (b) 2 (c) 6 (d) -0.07 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -1, -7, -27, -67?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 17 = 3*y + s, 0 = 3*y - 3*s - 12. Suppose 11 = 2*q - y. Let i = q - 7. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 422*q + 1288. What is x(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + (-2 + 19 - (54 - (58 + -5))).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1295181 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 0 + 21\/20*g**5 + 0*g**2 - 4\/5*g**6 + 3\/14*g**7 - 1\/2*g**4 + 0*g**3 - 3*g. Determine d, given that u(d) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 66 + -91 + (20 - 10).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -129915829*w**4 - 12923145*w**2 wrt w?\nAnswer: -3117979896*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 556 - 548. Suppose -q*z - 80 = -13*z. Solve -z*d = -15*d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 19*k - 17*k. Let o be (24\/k)\/(-3)*-2. What is the nearest to 0.1 in -1, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9574 - 9569. Let w = -0.48 + 0.18. What is the third biggest value in -3, f, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, -3, 10 in increasing order.\nAnswer: -3, 1, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12, 2\/15, 8304?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*z + 10 + 47 + 243 = -624. Let l(s) be the third derivative of s**4\/24 + 4*s**3\/3 - s**2. Calculate l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425 + 439 + (-10 - -1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 - 5*x + 23 + 27 + 25.\nAnswer: -5*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**8\/336 - z**7\/56 - z**6\/36 + 9*z**3\/2 - 5*z**2. Let d(p) be the first derivative of x(p). Factor d(v).\nAnswer: -5*v**2*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115384443?\nAnswer: 3, 71, 541711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/4)*y*y**(-11) assuming y is positive.\nAnswer: y**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-235)\/94)\/(((-390)\/(-26))\/((-252)\/8))*-28\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -47*t - 57. Let q be o(-3). Suppose 89*p - 80285 = q*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*t**2 + 56*t**2 + 51*t**2 - 2*t to the form x*t**2 + b*t + i and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a millennium in months?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*n*s*u**2 - 3*n*u**2 + 3*s*u - u**2 + 2*u wrt n.\nAnswer: -17*s*u**2 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 8 - 26*q + 3 + 0*q - q to the form b*q + j and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-6)\/(-36)*-1. Suppose -6*u + 8*u - 200 = l. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8110?\nAnswer: 2, 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.08 - -0.08. Let o = -183\/2 + 93. Which is the smallest value? (a) s (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 744270 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**5\/20 - 5*v**3\/6 + v**2 + 2*v. Let x be z(-5). Let j = x + -46. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 775255 - 775257. Suppose 4 + 4 = 4*g. What is the nearest to 1\/5 in g, h, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*c - 27. Suppose 61 - c = i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174551 and 33553.\nAnswer: 15535039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 6*c**2 + 7*c + 4. Let p be x(-7). Suppose -h + 0*h = -p. Suppose h*m = -11 + 35. Solve -3*g - m = 2*q, 4*g = -q + 2*g - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/149619 and 91\/4266.\nAnswer: 212758218","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 3*n - 2. Determine d(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6418, -6264, -6008, -5650?\n\"Answer: 51*u**2 + u - 6470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 14\/56 - (-2047)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 416522142 to the nearest integer?\nAnswer: 20409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (36 - (19 + (11 - 23)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63047270 - -97759270. Round v to the nearest one hundred thousand.\nAnswer: 34700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244043 is divided by 13883?\nAnswer: 8032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b + 2. Let p be 11\/((-330)\/12) + 13\/(-5). Determine c(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-5) + 44\/140. What is the fourth biggest value in -4, 6, p, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/2, -1\/4, -0.039?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -293\/22 + 27\/2. Suppose 5*t - 2053 + 2041 = w, -4*w - 27 = t. Is d less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-38 + -19) - 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -134.97 and -132.\nAnswer: -266.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-1278)*(-179)\/(-1432)\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 3*y - 12, 2*y + 1426*g - 8 = 1436*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 29. Let h be i(-19). Calculate the highest common divisor of 81 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from jnjvjny?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 14428 + 13415 = 0. Does 107 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 + 28. Let y be (-6)\/j + (-9)\/7. Does y = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1547 - -9179\/6. Let x = -47\/3 - o. Let -x*a**2 - a**3 + a + 0 = 0. What is a?\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 2. Solve -2*g + s = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 7) to base 9\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/5851 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*((sqrt(147) + -1)*-3 + -4)*6 + 1)**2.\nAnswer: 11340*sqrt(3) + 428877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, 2, -568, -4, 0.\nAnswer: -568, -12, -4, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8a92 + -1b?\nAnswer: -8aad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2621, 5231, 7833, 10427, 13013, 15591, 18161?\nAnswer: 20723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 304 - 366.5. Let t = -59.47 - z. Let k = 0.03 - t. Which is smaller: k or -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 354408?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1525, -1536, -1553, -1576, -1605, -1640?\n\"Answer: -3*k**2 - 2*k - 1520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f + 45. What is l(23)?\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -954191486541409 and 0.4.\nAnswer: -954191486541408.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-4\/3)\/j*j)\/(j*j**(-3\/7)*j))**(-5\/4))**(-18) assuming j is positive.\nAnswer: j**(-915\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - r + 2 + 3 = 0, -d + 4*r + 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2342 and 39734.\nAnswer: 46528514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.55 - 37.45. Let y = l - -38.0034. What is y rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576)*3)\/(sqrt(14)\/sqrt(7)*-5) + -4)**2*-4.\nAnswer: -11968\/25 - 1152*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4265, 8479, 12685, 16883, 21073, 25255, 29429?\n\"Answer: -4*j**2 + 4226*j + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 362*v**4 - 262*v**3 + 358231*v**2?\nAnswer: 8688*v - 1572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 26 and 5886\/167 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 4*h - 2044. Let b be f(0). What is the smallest common multiple of b\/(-76) - (-2)\/19 and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.342 + -0.058. Let b = 1.4 + l. Let z = -4 - b. Sort z, 0.5, 4 in decreasing order.\nAnswer: 4, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 3*p + 3 + 21, 5*p - 6 = a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31*56\/(-377580))\/((2\/1)\/10)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -129, -259, -389?\n\"Answer: -130*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-6)*j)\/(j\/j**(2\/9)))\/(j*j**(-2\/5))**34 assuming j is positive.\nAnswer: j**(-1088\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 18*n**3\/5 + 318*n**2\/5 - 44*n = 0.\nAnswer: -55\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 137, 10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36852146 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.1? (a) 1 (b) 315286 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 2\/13, -0.4, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48804324*s**2 - 208863*s - 28?\nAnswer: 97608648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 92193 and -40825701?\nAnswer: 40917894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752602057 to the power of 1\/2, to the nearest integer?\nAnswer: 41864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/102)\/((-11)\/24*-8 - 4)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, c: 6, k: 2, u: 2, j: 3}. Give prob of picking 1 c and 1 u.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 202*x**2 + 12*x?\nAnswer: 404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 196781 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2890 + 84*f + 99*f + 0*f - 2890.\nAnswer: 183*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvrvrrvs. Give prob of picking 2 v.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -13 + 5. Suppose 5*i + x*l - l = 252, 0 = 3*l - 6. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 8. What is the remainder when 27 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**3 + 3*r**2 + 7*r. Let a(u) = u**3 - u**2 - u. Give 3*a(n) + f(n).\nAnswer: 7*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (1 + -17 + 24 + 2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000024418 to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/11 and -37\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 556 and 8.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62 and -1133.7.\nAnswer: 70289.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**2 + 3*c + 3. Suppose b - t - 3 = -0*b, -3*b + 2*t + 6 = 0. Calculate the remainder when p(-2) is divided by (b - 9\/5)*-5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -28*r**2 - 539*r + 23. Calculate f(-20).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eere when four letters picked without replacement from eere?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 5*a**2 - 7*a - 3. Let j be y(-6). Let x = j + -8. Which is smaller: -4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -140*g**5 - 2*g**2 - 10*g - 1. Let a(x) = -419*x**5 - 6*x**2 - 28*x - 3. Let h(d) = -2*a(d) + 7*b(d). What is the second derivative of h(v) wrt v?\nAnswer: -2840*v**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 15. Let h = -7.6 - u. Which is the second smallest value? (a) 4 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227, -436, -643, -848, -1051?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10347278 rounded to the nearest 10000?\nAnswer: -10350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 158224015 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*t - t - 4, 0 = 2*t + 2. Suppose h - 32 = -3*h. Suppose 0*g + 4*u + 24 = -2*g, 3*g + h = u. Put g, s, 5 in ascending order.\nAnswer: g, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.501 - 29.139. What is q rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -279712, 604, -3?\nAnswer: -279712","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (32 - 8) - ((2 - -11) + -6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 - 7*l**2 + l**2 - 5*l**3 + 0*l - 5*l + 1. Let o(a) = -10*a**3 - 18*a**2 - 15*a + 3. Let w(t) = -2*o(t) + 7*u(t). Calculate w(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-15))\/(2\/20). Suppose b*m - 120 = -m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 2758459?\nAnswer: -2758461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 8\/83 (c) -0.2 (d) 0.381\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 5*o + 59, 0 = 3*d - 160*o + 155*o - 48 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2, -v - 2 - 4 = 4*r. Let i(k) = k**3 + 3*k**2 + 3*k + 2. Let x be i(v). Suppose -4*c + 17 + 55 = x. What is the remainder when c is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193 + -211. What is the hundreds digit of ((-8172)\/g)\/((-1)\/((-3)\/6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 14. Let p(g) = -3*g - 9. Let t be p(-11). What is the highest common divisor of w and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.7 + 0.2. Let j = -0.11 - -8.11. Let r = j + s. Which is the closest to 2? (a) 1 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*q + 0*q = -15, q - 9 = -4*d. Let j be (-19)\/(-152)*(1 + 23). Suppose j*y = -6 - d, 2*s - 163 = -y. Is 27 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 821237 divided by 23.\nAnswer: 821237\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/40)\/(4\/(-460)). Let o = 5047\/4 + -1284. Let n = o + p. Which is the third smallest value? (a) -1\/4 (b) n (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 10*(-1)\/2 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17532 and 900.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 28 = u + 3*u, 23 = 5*u - 2*b. Let c(n) = 3 - n + u - 17 - 10. What is c(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/79392 and 1\/396960.\nAnswer: 396960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -400.3 + -2480.7. Let d = z - -2881.49175. Let p = 0.49 - d. What is p rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -65624 + 642?\nAnswer: -64652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 11*z**2 - 11*z + 5. Let t be r(-10). Let x be ((-3)\/(-2))\/(t\/220). What is the greatest common factor of x and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 31 = -9. Let a = -20 - -22. Calculate the greatest common factor of b and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(13 - 13 + v) + (-1 + 0 - 1)*(9*v + 4*v - 28*v)*(0 + 4 - 3).\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-55)*(876 + -866).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -1. Let r(g) = -4*g**3 - g**2 + 7*g - 2. Let a(v) = -7*v**3 - 2*v**2 + 13*v - 3. Let k(w) = 3*a(w) - 5*r(w). List the prime factors of k(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + 16. Let q be v(5). Calculate the common denominator of 3*250\/(-105) + (q - -1) and 34\/29.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-848)\/32*(13\/(-260))\/(10\/(-8)) and 81\/40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 0 - 20 - 2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2705625157.\nAnswer: 17, 569, 279709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 47899.12 kilometers?\nAnswer: 47899120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 * -5587\nAnswer: 134088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/((x\/(x\/(x\/x**(-1\/4))))\/x)*x**1)\/(x**(-2\/3))**(-38)*((x*x**(-2)*x*x*x*x)\/x)\/x*x*x\/(x\/(x**(2\/5)\/x)*x)*(x**(-1))**(-1\/53) assuming x is positive.\nAnswer: x**(-67303\/3180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (-20 + 39) - (-1 - 4) - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1377)\/(-918))\/((-7)\/175*-5)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16069601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*l + 3648 = -271*l. Suppose 227*t - 229*t = -l. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Let t be (-11 - 1)\/(4 - 105\/24). Suppose 5*r - 28 - t = 0. Calculate the greatest common factor of y and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by (-2)\/15 - (-4147)\/165.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5948*n**3 - 21*n**2 - 5957*n**3 + 11907*n**3)*(3*n**2 - 5*n**2 + 0*n**2 + (-n + 0*n + 3*n)*(-2*n - 4 + 4) + 5*n + 3*n**2 - 5*n).\nAnswer: -6*n**5 + 63*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 w, and 1 c when three letters picked without replacement from sswsessccecwcssses?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**5\/2 + 6*c**4 + 9*c**3\/2.\nAnswer: 3*c**3*(c + 1)*(c + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -x - 3*z + 19, -2*z - 8 = 0. Calculate the greatest common divisor of x and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -600 * 5.\nAnswer: -3000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from hpyyepy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -390*t**4 - 20*t**3 + 856*t**4 - 3*t - 1 - 457*t**4 as v*t**3 + g*t + a*t**4 + h*t**2 + m and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 7 + (-8 - -20 - 12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 6. Let x be q(10). Let m be 102\/376 + x\/(-16). Let k = m + 421\/94. Find the common denominator of -101\/12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479706 is divided by 238922.\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 35. Let g be 6 - (-2)\/180*-545. Are j and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*i - 30, -o + 20 = -4*i + i. Let n be (-30)\/7 + (-4)\/(-14). Put o, -3, n in decreasing order.\nAnswer: o, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -663284404?\nAnswer: -663284404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1355*u**3 + 4*u**2 + 4*u - 61. Let x(h) = -1356*h**3 + 5*h**2 + 5*h - 60. Let g(f) = -8*x(f) + 10*y(f). What is the derivative of g(i) wrt i?\nAnswer: -8106*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -38c6c?\nAnswer: -38c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 55. Let v be (-4 - 0)*r\/8. What is the tens digit of 219\/v - 8\/(-52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8*i - 19*i**2 + i + 8*i - 21 - 4*i. Let z(k) = 9*k**2 - 6*k + 10. Let h(t) = -6*g(t) - 13*z(t). What is the first derivative of h(p) wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 187?\nAnswer: 187.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 7:53 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4958893 is divided by 1541?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*sqrt(304) + -4)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 212 - 212)*(-z - 2*z + z)*(2*z + 3*z - 4*z) to the form k*z**2 + h + d*z + g*z**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1320 - 5) + (-9 - -4). Let g(a) = a**2 + 4*a + 2. Let p be g(-2). Is 3 - u\/5*p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, a: 7}. What is prob of sequence axx?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 1 - 21. Suppose h = -5*o - 21. Let m(v) = 10*v - 4. Let c(r) = 9*r - 3. Let i(s) = o*m(s) + 6*c(s). Differentiate i(z) with respect to z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 16*n + 1094. Determine u(24).\nAnswer: 902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3487 + 1546. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195968 at least 195970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -14 (b) -2 (c) 1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -30, -59, -92, -123, -146, -155, -144?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 10, 66 - 1 = -3*w - 2*v. Is -23 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627.2645ug to kilograms.\nAnswer: 0.0000006272645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v*v**0)\/v))\/v)**(-37))**49 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 8. Suppose 1 = -3*j - k. Let h = -957\/7 + 137. What is the nearest to h in 3\/4, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3*f**5 - 3 + 6)*(4 - 2 + 0) - 7*f**4 - 2*f**5 + 7*f**4.\nAnswer: 4*f**5 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 109830107 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015958.\nAnswer: 2, 507979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766*v**5\/5 + 5208*v**4 - 43022*v**3 + 98436*v**2 + 2576*v\/5 = 0.\nAnswer: -2\/383, 0, 4, 7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*b, 0*b = -4*n - 2*b + 12. Suppose n*o - 27 = -2*w - 3*o, 3*o - 33 = -4*w. Suppose 53 + w = q. What is the remainder when q is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-14) - (-2)\/7. Let l(d) = 3*d - 45. Let w be l(14). Put k, 4, w in ascending order.\nAnswer: w, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674109179.\nAnswer: 37, 1453, 12539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -521 times -109300?\nAnswer: 56945300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7000 divide 1308580000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uux when three letters picked without replacement from xuxuuuxuuxxxuxxuuxuu.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 34*f + 573. Let c(q) = q + 112. Determine t(c(k)).\nAnswer: 34*k + 4381","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 13. What is the remainder when x is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**5\/30 + 5*p**2. Let s(t) = t**2. What is a(s(c))?\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = -z + 3*m, 0 = 2*m - 2. Suppose -2 = 2*p - z. Suppose 5*i = 3*i - 3*u - 7, -4*i + 4*u + 36 = 0. Solve 0 - p = -i*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1040370 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d = c - 86, -5*d + 3*c - 30 = -d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111010001111100100 - 1110011?\nAnswer: -10111010010001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 2*j**2 + 7*j + 55. List the prime factors of q(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3380287097\/36 - 93887844. Let o = 27070\/3 - k. Find the common denominator of (30\/(-135))\/((-4)\/(-747)) and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18*(-13)\/39*(-2)\/4. Let q be ((-4)\/(-6))\/((-6)\/(-9)). Let b be (-1 + q)\/(2 + -1). Solve -r*k - 12 = -b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/(-55)*(-70)\/21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 3615*r**4\/2 - r**3\/3 - 2539*r**2\/2 + 2*r - 1398. Find the third derivative of p(m) wrt m.\nAnswer: 43380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -69542, -33 in decreasing order.\nAnswer: 5, 3, -33, -69542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 72, 301, 686, 1227?\n\"Answer: 78*u**2 - 5*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*u**3 - 39*u**3 + 2 - u - 3 + (-3*u + 3*u - u**3)*(0 + 6 - 4) + u**3 + 2*u**3 - 4*u**3 to the form o*u + q*u**2 + h*u**3 + z and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3295 + 3300. What is the third smallest value in -1, -0.3, i, -2, 1.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 1)*(0 - -1). Suppose w = -r - 0*r - 4*d + 35, r + 2*d = 29. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -6 - -5) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**3 - 290*f**2 - 2*f - 50. What is the least common multiple of s(-58) and 1200?\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678676.8 less than -28.1?\nAnswer: -678704.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 57789\/8 - (-15)\/840*-35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viviiivvviiv. What is prob of picking 3 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 7*s**2 + 20*s - 12. Calculate j(-4).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cygg when four letters picked without replacement from {p: 3, y: 1, g: 3, c: 7}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/4)*f*f**(-2\/5))\/(f**(-1\/6)*f**(2\/11)\/f))**(5\/3) assuming f is positive.\nAnswer: f**(1541\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 241*w + 1. Let u(p) = -663*p - 3. Let h(y) = -11*r(y) - 4*u(y). Let b(s) be the second derivative of s**3\/2 + 2*s**2 - 4*s. Determine -b(d) + 4*h(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 287 - 475 + 219.\nAnswer: -k**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 3, -2309.4, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/(-4))\/(-5)*(-564)\/(15792\/(-112)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from jjjjjxxjjxjj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s + 21*s = 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p - 3*p + 7 - 8*p + 16*p as b + a*p and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 + 0 = 0, -21 = 4*r + n. Let s(b) be the third derivative of 0*b + 1\/24*b**4 + 7\/6*b**3 + 4*b**2 + 1\/120*b**6 + 1\/12*b**5 + 0. What is s(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 32*w**2 + w + 41. Let z be c(-32). Calculate the remainder when 5360\/180 - (-2)\/z is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2564*d = -2569*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.777 + -0.096. Let m = -0.019 - t. Let i = -1 - m. Which is the second smallest value? (a) 9\/8 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 = n. Let a(s) = -s**3 + 14*s**2 - 10*s + 31. Let b be a(13). What are the prime factors of (b\/6 - n)*3?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645030 is divided by 52?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 5:25 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28752922?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**3\/2 - 945*w**2\/2 - 33627*w + 69156 = 0.\nAnswer: -204, -113, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/(-4))\/(2\/4). Let a be o\/(-6)*(-8)\/(-5). Suppose 6*n - 15 = 15. Sort n, -3, a.\nAnswer: -3, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-1 - -1) + -6 + 7 + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.4, 8, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 46, 0, 1\/3, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (64\/(-12))\/(68\/(-918)) and 5\/15 - 715\/(-15)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20, -42, -64, -86, -108, -130?\n\"Answer: -22*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1, -3, 5, 76, -1.422?\nAnswer: -1.422","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 17*s**2 + 1. Let x be o(17). Let g(t) = 38*t**3 - 3*t**2 + t. Let c be g(x). What is the highest common divisor of c and 270?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24, 0.1, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6632887 (base 9) to base 4\nAnswer: -31212110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 121111013203?\nAnswer: -121111013210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b - 23 = -d, 4*b - 3*d = 71. Calculate the greatest common divisor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -305489996*b**2*f**2 + 18*b**2 + 2*b - 86219*f wrt f?\nAnswer: -610979992*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 0*p + 5*p)*(-15 - 34 + 5)*(3*p**2 - p**2 - p**2) as u*p**2 + y*p**3 + h + n*p and give y.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 532934107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 24210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*f - 1122 = -19*f + 282 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let k = w + -4. Let i = -2.000002 - k. What is i rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*h + 120*h + 3*d = 232*h + 74, -2*h + 3*d - 88 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(9) - 1*sqrt(576))*-5*-4 - 1*(-3*(2*sqrt(132))\/sqrt(12)*-1)**2.\nAnswer: -396 - 20*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -176*t + 172*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37*276\/11914*-7*14\/4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 0*m**2 - 2*m**4 + m**3 - 3*m**2 - m**2 + 2 to a*m**2 + d + q*m**3 + r*m**4 + p*m and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a decade?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 12 = -7*r. Let o(k) = r - 6 + 1. Let x(q) = 4*q**2 - 8*q + 10. Let g(s) = -6*o(s) - x(s). Factor g(d).\nAnswer: -4*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + ((-656)\/(-558) - (60 + (-2156)\/36))\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1297 + 567 - 2205 - 1087 + 3*w + (1 - 3 + 4)*(2 - 2 - w) to the form t*w + j and give j.\nAnswer: -4022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrrmrrmrrmrrmrmrrrm. What is prob of sequence mrr?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -7*l + 9. Is l < -0.25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 53 + 2 = 0. Let j = m - -25. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -11 - -5 - -6) + -11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1635.\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 2*j**2 + 2*j**3 - 2*j**4 - 2*j + 0*j**2 - 5*j**2.\nAnswer: -2*j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 11*s**2 + 15*s + 5. Let m(u) = u**3 - 11*u**2 + 14*u + 5. Let k(y) = 4*a(y) - 3*m(y). Let o = 4 - -5. Let i be k(o). Solve j = i*j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43268 - 16874551\/390. What is the common denominator of w and 193\/4290?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.6 - -5. Let u = p - -0.1. Let l be (-6)\/(-10)*4\/(-3). What is the biggest value in u, -0.5, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 3, -17, 1, 5.\nAnswer: -17, -2, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**2\/3 + 2527403*y = 0.\nAnswer: -7582209, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 7*c**2 - 222*c - 1718. What is u(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(10*u + 20*u + 1 - 5*u).\nAnswer: 25*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3588750961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217864.\nAnswer: 2, 113, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 8, 4, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21483.9 centuries in months?\nAnswer: 25780680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = w - 2*f, f = -22133*w + 22135*w + 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5*j + 0*j + 4*x = -8*j + 78, 8*x + 36 = 172 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (94170\/(-350) - 6\/42)*-10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 153842234.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -64c - -3?\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204176 is divided by 1006.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2. Let x(v) = -v - 3*v - 10*v**2 + 4*v - 11239 + 11241. Give x(p(a)).\nAnswer: -90*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, -21, -56, -127, -246, -425?\n\"Answer: -2*x**3 + 3*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -296, -1324, -3042, -5450?\nAnswer: -8548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z = -4*g + 497, 4*z - 20 = 0. Let c = g - 118. What is the greatest common factor of 14 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -11*d - 58*d**2 + 6 + 10 + 57*d**2. Let p be a(-12). Solve 0 = -0*g - 2*g - p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y - 4*y)*(-2 - 3*y + 2).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1731143\/2610 - -5968\/9. Let l = u - 91\/29. Calculate the common denominator of l and 83\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -746 - -356. Let n = 422 + h. Calculate the remainder when n is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423023 (base 7) in base 9?\nAnswer: 320556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v - 2. Let b be y(-3). Let r = 6 - 4. Calculate the highest common divisor of b and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 666 - 672. Let d(s) = s**2 + 7*s + 1. Give d(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28063 or 28064?\nAnswer: 28064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1931*h + 70 = 1945*h. Solve 5*n = w - 2, -h*w + 5 = -5*n - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85500 divided by 28500\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 17*j**3\/3 + 32*j - 29. Differentiate o(f) wrt f.\nAnswer: 34*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 394344?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 31 = -3*a, -3*a - 5*u = -7*a + 18. Suppose a*r = 2*r + 10. Suppose 3*g - 7 = r*h, 4*h + g = 2*g + 11. Solve -3*l = -h + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*l - 237*l - 469*l = 469*l - 14690 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 29*p = 1044, 3*o - 145 = -7*p + 2*p + 35 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -191.92 - -198. Let k = -6.0800193 + r. Round k to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/6, -2\/5, 72, 0.06 in decreasing order.\nAnswer: 72, 1\/6, 0.06, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d - 40. Let k be r(-6). Put 2, -3, 3, k in ascending order.\nAnswer: k, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6b + 717?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*l = -649, -6*l = -l + 25. What is the remainder when 308 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -165 - -186. Let f = 21 - j. Which is bigger: f or -46\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 8. Let x be r(4). Let s = 564.7 - 560.1. Are x and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92 - (21 - 16)) + 46?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101 and 2323?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1216) + 2)**2*-1 + 5 - ((sqrt(1216) - (sqrt(1216) + -4 + sqrt(1216) + 2)) + (4 + sqrt(1216))*-6).\nAnswer: 184*sqrt(19) + 4907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**3 - 592*x**2 - 25872*x - 278784 = 0.\nAnswer: -66, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17a2 (base 13) to base 6.\nAnswer: -24132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/23)\/m**(3\/41)*(m**(-1\/8))**(-12))**21 assuming m is positive.\nAnswer: m**(53067\/1886)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 110\/35 + (-1)\/7. Suppose 0 = -f*z - z + 52. Let c = z - 11. Solve 6*q = c*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -73.583?\nAnswer: -147.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 2:58 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -193722*f**3 - 3*f**2 - 41609*f?\nAnswer: -1162332*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**5\/20 + 5*m**4\/12 + 2*m**3\/3 - 5*m**2\/2 + 4*m. Let s be q(-4). Let b = -27 - -25. What is the nearest to 2 in 5, s, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -38 - (1 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 6:10 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2*24\/(-3904))\/(1200\/404 - 3) and -21\/1342.\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*z + 34, 4*z - 5*b - 10 - 13 = 0. Suppose -z*r + 6 = -2*r + 3*v, -3 = v. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7970 + -7962. What is the smallest common multiple of a and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -5 - (-1 + -4 - ((-94 - -8) + 15))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1473, 1455, 1437, 1419, 1401, 1383?\n\"Answer: -18*r + 1491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1836) - (sqrt(1836)*3 + sqrt(1836))))\/(-2*-4*sqrt(300)).\nAnswer: -9*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6784?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 10 = -8*x. Let v = 822\/11 - 1017\/22. What is the common denominator of v and (354\/(-72))\/((-3)\/x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666\/5 at most as big as 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 + 102*a**2 - 101*a + 52. Calculate g(50).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9151690*s**5 + 6*s**2 + 772800 wrt s.\nAnswer: -549101400*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 9*k**2 - 10*k + 5. Let v be r(10). Suppose -5*c + 8 = -3*t - t, v*t + 3*c = 27. Suppose 0 = 2*w + t*w - 55. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 16 = -2*g + 4*k, 2*g - 16 = 5*k. Suppose -225 = 16*x - 1505. Suppose 71*y - 66*y - x = 0. Calculate the highest common divisor of y and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 370 divided by 370\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 67. Let n = x + 31.000054. What is n rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 328\/181? (a) -0.01 (b) -3 (c) -1.55 (d) 1 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -591940 - 13?\nAnswer: -591953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 20*n**2 - 1253*n - 3749. What is y(-3)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*q + 35 - 35 + (-1 + 3 - 3)*(0*q + 3*q - q) - 5 + 2*q + 5.\nAnswer: -19*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965 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: Let a(p) = -1852*p + 837100. Give a(452).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 4*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {w: 1, p: 2, x: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 26. Let r = 13 + i. What is the third smallest value in r, 3, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -2 + 2 + -35 + 38.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*v**2 - 35*v**2 + 23*v**2)*(-2 + 7 - 3)*(-4*v + v + 0*v).\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -64\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -21 + 16 + 20 + -28.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((172\/(-473))\/(8\/176) - -9)*86\/(-6).\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, i: 7}. What is prob of picking 3 v and 1 i?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 7*p**2 - 19*p + 48. Let b be u(4). Solve 0 = -4*d - 16, -b + 40 = -4*i - 3*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - n - 2. Let o = 16 + -16. Let c be a(o). Is 12 a factor of (-42)\/(-35)*(-60)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31073 - 2*w**3 + 2*w**3 - 31148 + 62221 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10447231, -20894524, -31341817, -41789110, -52236403?\n\"Answer: -10447293*i + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/12)\/((-9)\/(-405)). Let z = 72 - o. What is the third biggest value in -1\/3, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02837589123 to five decimal places.\nAnswer: -0.02838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 310663535 to the power of 1\/2, to the nearest integer?\nAnswer: 17626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and (15 + -6)*2\/2?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96713 - 96551. Let o(y) = 11*y**3 - y. What is the lowest common multiple of b and o(1)?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z**2 - 102*z - 6. Calculate the remainder when m(-10) is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2 - 2 - p - 4. Let x(g) = -6*g - 4 + 4*g + g. Let q be x(0). What is l(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.44723154 rounded to 3 decimal places?\nAnswer: 18.447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 677 + -635. Which is the second biggest value? (a) 1 (b) 5 (c) -0.5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/4 + 3\/(-6). Let f(i) = -4*i + 2 - 2*i**2 + i + 3*i**2. Let m be f(3). Sort l, m, -4 in decreasing order.\nAnswer: l, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 26*a**3 - a**2 + 18*a - 16. What is h(1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -89 + 0*o**5 + 44\/3*o**6 + 0*o + 0*o**3 + 0*o**4 + 97\/2*o**2. Find the second derivative of g(m) wrt m.\nAnswer: 1760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 2*a - 8. Let r be j(4). Suppose -5*d - 81999995 = -g, -4*g - 82000020 = -r*d + 5*d. What is d rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 16*u**2 - 10*u + 35. List the prime factors of a(17).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 39 = -2*h - 18, f - 7 = -4*h. Solve -h*m = -m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-118)\/(-182) - (-744)\/(-1302)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/4717 and 22\/689.\nAnswer: 61321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = 22*x - 16*x. Let f = x + 57. Is (3\/f - 2\/3) + 1328 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -1\/7, -4, -1\/5, -360?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*i = 13 - 33, 2*l - i + 4 = 0. Suppose l = g - 2*f - 99, 5*f + 17 = 2. Does 28 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -4.6. Let x = 48815 + -48814.9. Which is the closest to x? (a) 4 (b) -5 (c) 2\/9 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -154 - -153.9. Let y = 0.2 - -0.3. Let r = 0 + -0.4. Put y, s, r in increasing order.\nAnswer: r, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 29*i + 42)*(-5*i - 4 + 3 + i**2 - i).\nAnswer: 29*i**3 - 174*i**2 - 29*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -1. Suppose -93 + 34 + 29 = -10*f. Which is the third smallest value? (a) m (b) f (c) 4\/7 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(189)*3)\/sqrt(9))\/sqrt(3))*-6 - (sqrt(1050)*-2)\/(2*sqrt(726)).\nAnswer: -193*sqrt(7)\/11 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 6. Let s(i) = 2*i**2 + 16*i + 13. Let g(z) = z**2 + 8*z + 6. Let r(u) = -9*g(u) + 4*s(u). What is the tens digit of r(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**4\/96 - i**3\/6 + i**2 + 5*i. Factor l(w).\nAnswer: (w - 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.497 - 1.543. What is r rounded to 0 dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -8) + 6 + -9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227031211 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2))**(-2\/3))**16 assuming n is positive.\nAnswer: n**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from lllllllllllvlllllll?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 10*q**3 + 0*q - 40 + 0*q**2 + 0*q**4 - 8\/5*q**5. Find the third derivative of v(b) wrt b.\nAnswer: -192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21946492471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 1165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524900 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 7184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*r**4 - 4*r**2 + 16793*r - 937682.\nAnswer: 20*r**3 - 8*r + 16793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 2:38 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {f: 1, n: 18}.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 - 203 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 2*a**2 + 2*a + 1. Let v be b(-1). Suppose -2*n + 14 = v*i, 5*n - 2*n + 15 = 0. Let d be 4\/(-2) + i\/7. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5435272 and 112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -12) + -23 - -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9548 = 6*k + 2624. Suppose 0 = 3*b + 3*s - 1701, -k = -0*b - 2*b + 3*s. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50681*f + 50672*f + 5961*f**2 - 101353*f to v*f**2 + h + q*f and give v.\nAnswer: 5961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6337743204343 and -0.5?\nAnswer: 6337743204343.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2588 - 0)*87\/(-58).\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*(0 + sqrt(272)) + (sqrt(272) + -1 + (sqrt(272) - (sqrt(272) + 1 + sqrt(272) - sqrt(272))))**2.\nAnswer: -20*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3373292, -3373291, -3373290, -3373289?\nAnswer: -3373288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a hour in minutes?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, k: 6, z: 1, w: 5}. What is prob of sequence cwk?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 806 divided by -4?\nAnswer: -403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/10*2 + -1. Let k(z) = -26*z**2 - 52*z + 1. Let c be k(-2). What is the closest to -4 in c, s, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1884456631?\nAnswer: 23, 811, 101027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/4 + 660309*o**2 - 581341326063*o\/4 - 581346608547\/2.\nAnswer: -3*(o - 440207)**2*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48 - 2b75?\nAnswer: -3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, a: 2, x: 4, j: 2, c: 2, d: 1}. What is prob of picking 1 a, 1 c, and 2 j?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = 3*f - 6, -3*n + 4*f = 3. Which is greater: n or -1\/39?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(22*h**2 + 5*h**2 - 7*h**2 + (1 + 0 - 2)*(1 - 1 + h**2) - h**2 + 3*h**2 - 3*h**2 + (5*h**2 - 4*h**2 + 0*h**2)*(-1 + 0 - 2)).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*w + 4*w. Let a(d) = -2*d**2 - 9*d + 6. Let y be a(w). What is the tens digit of y - 7\/((-14)\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7276 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155338?\nAnswer: 2, 101, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -320*(4 - 72\/20). Which is smaller: k or -642\/5?\nAnswer: -642\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -320798 divided by 192\nAnswer: -160399\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132 + -42101?\nAnswer: -42233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3284, 3286, 3288, 3290, 3292, 3294?\nAnswer: 3296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*l + 0*l - 10*l)*(-l + l - l) - 2*l + 2*l - l**2 + l**2 + 3*l - 3*l to the form n + z*l + h*l**2 and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12897*r = 12884*r + 1885. Calculate the remainder when 5362 is divided by r.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -11, 167, -3\/4, -4\/7, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 y when three letters picked without replacement from {r: 4, i: 2, f: 1, y: 3, k: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -234*n**3 - 14*n**2 + 37*n + 6. Calculate p(2).\nAnswer: -1848","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 563, 1, -2, 2, 3 in decreasing order.\nAnswer: 563, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 6*s - 11. Let f be l(-9). Suppose 3*y + f = -26. Let x = 15 + y. Are 0 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 47218\/14 - (-4)\/56*4. Find the third derivative of j**5 - q - 2*j**3 + 3*j**2 + 3372 - j**3 wrt j.\nAnswer: 60*j**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4134689 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 216, -47, -271, 0, -3 in descending order.\nAnswer: 216, 0, -3, -47, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (sqrt(192) - (sqrt(192)*1 + sqrt(192)) - sqrt(192)) - sqrt(192))*-2*-2)\/(((-2*sqrt(288) - sqrt(288))\/sqrt(12) + sqrt(24))\/sqrt(6)).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 191390*y**2. Let o(v) = 4*v. Give d(o(w)).\nAnswer: 3062240*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0\/(d\/d**(1\/43)))**(3\/8) assuming d is positive.\nAnswer: d**(-63\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1125*m - 5*m**3 + 9971*m**2 - 5071*m**2 - 5050*m**2.\nAnswer: -5*m*(m + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.694512 nanometers in micrometers?\nAnswer: 0.001694512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -267*n**3 - 169*n**2 + 169*n - 1. Calculate b(1).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -3d68b3?\nAnswer: -3d68b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4571? (a) 2 (b) -1 (c) 0.1 (d) -0.3 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 387613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2 = -22*s + 17*s, -2*d + 3*s - 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2414, 19127, 64492, 152831, 298466, 515719, 818912, 1222367?\nAnswer: 1740406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -2. Suppose -c*v + 4 = -0. What is the third derivative of 2 + 2*f**4 - 2 + v*f**2 + f**2 wrt f?\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + (-2096)\/(-12). Let h be 2\/(-5) + (-4)\/p*-5. Which is bigger: h or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 436 - 276. Let y = 358 - z. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 8. Is z\/((-8)\/(-10))*124 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 divided by -12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29260746, 29260744, 29260742, 29260740, 29260738?\n\"Answer: -2*s + 29260748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 - 2*s**2 - 6*s + 4. Let c(k) = -3*k**3 - 3*k**2 - 11*k + 7. What is -4*c(n) + 7*h(n)?\nAnswer: -2*n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86940 divided by -21735.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1705)\/(-25575))\/((-7)\/20).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52613.\nAnswer: 11, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-6))\/(-7) + (-117)\/18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/9)\/(-4))\/((-3)\/54)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 541*h - 960 + 97 = 219. Determine z so that 4*z + 16\/3*z**4 - 16\/3*z**h - 8\/3*z**3 - 4\/3*z**5 + 0 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0, 9, 2, -62 in decreasing order.\nAnswer: 9, 2, 0, -1, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, e: 10}. What is prob of sequence ejj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -27 + 4 + (1 - (9 + -5)) - 57\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 12*j - 9. Suppose -73 = -22*a + 1049. What is the remainder when a is divided by d(9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100683 divided by -4.\nAnswer: 100683\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 83. Let z be (4\/(-6))\/(-1 - 51\/m). Let n(b) = -5*b + 1. Let t be n(1). Put t, 1, z in decreasing order.\nAnswer: 1, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13 (b) 1\/5 (c) -5 (d) -4 (e) -0.1 (f) -13.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -29. Suppose -12 = -u - g*u. Solve -2 = -u*t + z, 5*t + 0*z - 2*z = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b + 20 - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggy when three letters picked without replacement from mgggmyyymgmggmmymgmg?\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*u + 7 = 2*u, 4*g - u + 7 = 0. Which is smaller: g or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*d + 234 + 220 = 0, 332 = 2*k + 4*d. Is k\/(10\/(-5))*(-2)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b3f8 - -4?\nAnswer: 1b3fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 4*d + 5. Calculate j(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -10)\/(2\/(-6 + 2)). Let h be p\/(-4) + 1 - 828. What is h rounded to the nearest ten?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(704) - (0 + sqrt(704))) + -2 + sqrt(704) + (0 + sqrt(704))*3)*3*-6.\nAnswer: -576*sqrt(11) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1117432 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 60.46493nm?\nAnswer: 0.00006046493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*u - 6, 3*a + 3*u = a + 17. What is the highest common divisor of 20 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -401777 + -99802. Let y = j + 1071579. Round y to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.690954 litres?\nAnswer: 4690.954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18551*n - 16 = 18555*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.89 + -83.89. Let x = -557 + 474. Let q = x - l. What is the closest to q in 5\/2, 0.2, -3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**3\/6 + 2614199*l**2\/6 + 4966942*l\/3 = 0. Calculate l.\nAnswer: -522836, -19\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4977 rounded to the nearest 100?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.978873ug?\nAnswer: 0.000000000005978873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 625*7\/385 + 8\/(-22). Let c(x) = x**3 + 0*x**3 - x - 4*x**2 + 3*x. Let k(i) = 5*i**3 - 21*i**2 + 11*i. What is u*c(b) - 2*k(b)?\nAnswer: b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 43*t**2 - t - 2. What is the smallest common multiple of z(-1) and 16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -53922, 0.1 in decreasing order.\nAnswer: 4, 0.1, -53922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3565\/124)\/((45\/(-24))\/((-24)\/(-16)*-1)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 4*t**2. Let q be r(-4). Suppose q = l + 17*l - 1116. What is the remainder when l is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 10*z + 3. Let t(k) = 1 - 28*k + 34*k - 5*k. Calculate f(u) - 2*t(u).\nAnswer: 8*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 28*f + 27*f - 52*f + 47*f**2 - 3. What is the hundreds digit of a(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/43 + 45\/86. Let o = 0.182 + -15.182. Let z = o - -15.3. What is the closest to p in -4, z, 1\/10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8 = 5*p + 11, 3*g = 2*p + 9. Calculate the remainder when 2 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 71*q**2 + 24*q - 3443. Calculate d(-72).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + -44. Suppose -2*d = -n*d + 5. Solve -5*y - 17 = 3*z, 0 = -d*y - 5*z - 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1116*k + 25944 + 4331 = -95*k for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 618495772 + -0.02?\nAnswer: 618495771.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -545c9 (base 14) to base 12.\nAnswer: -9a219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.3. Let b(s) = 23*s - 12. Let o be b(2). Suppose 0 = 5*d + 2*m + 30, 4*d + 5*m = -o - 7. Which is greater: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/7 + 78*c**3\/7 + 17685*c**2\/7 + 120550*c\/7 + 171000\/7 = 0. Calculate c.\nAnswer: -95, -5, -2, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727709 is divided by 242540.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21*-7284.\nAnswer: 1529.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-2 - -403) + -6 - (-1 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**8\/2800 + 3*p**7\/280 - 9*p**6\/200 + 13*p**5\/200 + 31*p**3 + 215. Let l(n) be the third derivative of h(n). Factor l(j).\nAnswer: -3*j*(j - 13)*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2 - 17. Suppose 4*o = -4*k + 12, 5*k + 2 = o - 7. Let u(y) = 5 - o + 31*y - 24*y + 2. Let h(q) = 6*q + 3. What is w*h(n) - 4*u(n)?\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*m - 4. Sort 3, 2, m.\nAnswer: 2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/56 + -173386*(-1)\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6848 - -6844. What is the nearest to 0.1 in -10\/3, y, 2\/5, -3\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-28)*798\/1140.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 104*j + 1440. Let z be d(-32). Calculate the greatest common factor of 410 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztbt when four letters picked without replacement from bmkbtzmmmtbzt?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308968 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2332 = 3*d - 2371, -3*c + 5*d = 69 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 5*z**2 + 6. Let y(g) = -g**2 - 1. Let x(v) = v + 16. Let l be x(-12). Suppose -l*f = -22 + 10. Determine f*y(b) + k(b).\nAnswer: -2*b**3 + 2*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/3599280 and -44\/74985?\nAnswer: 3599280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 7*i + 12. Suppose -17 - 15 = -4*f. Let z be b(f). Suppose 73 = 15*r - 227. Calculate the highest common divisor of r and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.9 - 13.4. Put -0.27, 0.2, i in increasing order.\nAnswer: i, -0.27, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 13*l - 26. Determine h(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.403905 centuries in millennia?\nAnswer: 0.8403905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*i**2 - 181*i**2 - 557*i**2 + 368*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 15*r - 10. Give d(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -16.831 (c) 2\/19 (d) 22\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - 3*h**3 + 3*h**3)*(h + 0*h - 2*h) - 85*h**3 + 85*h**3 + 30*h**4 + (3*h**2 - h**3 - 3*h**2)*(2 - 2 + h).\nAnswer: 30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 2. Let n(c) = -2*c + 16. Let k be n(8). Let z be b(k). Solve 4*i = 3*l + l + 36, -z*i + 4*l = -28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3567 - 939*p + 3932 - 8918 wrt p.\nAnswer: -939","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1221010221?\nAnswer: 1221010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518647 a multiple of 492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 - 23 = 32*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-12))\/(2\/8). Suppose -c + 2 = -4*s + 98, -3*s - q*c = -87. Let l(j) = -22*j + 4. Calculate the remainder when l(-2) is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 100, 573, 1630, 3499, 6408, 10585, 16258?\nAnswer: 23655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) -2\/5 (b) -3 (c) -2\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, -0.1, -5 in descending order.\nAnswer: 0.23, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 11*c - 10*c = 0. Suppose 30*s - 14*s - 2048 = c. Calculate the highest common factor of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1598, -1486, -1274, -956, -526?\n\"Answer: w**3 + 44*w**2 - 27*w - 1616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m - 24*m - 7 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 6\/5, -0.4, -0.64, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 27 - 696*o**3 + 698*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000001011100 (base 2) in base 12?\nAnswer: 9650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -29*m**2 - 3*m - 12. Let p(r) = -43*r**2 - 5*r - 19. Calculate 8*i(n) - 5*p(n).\nAnswer: -17*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 10*y - 4 = d, 0 = 3*y + 5*d - 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4641*g**2 + 424*g - 7. List the prime factors of y(3).\nAnswer: 2, 21517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 - 16562*q**3 - 5 - 16535*q**3 + 5 + 33195*q**3 + q**2.\nAnswer: 98*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 50a (base 13) in base 6?\nAnswer: 3543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*h = 1352, 1886 = -5*z - h - 1490. Let j = z + 1300. Suppose -u = v - 131, 5*v - u + 0*u = j. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90*j**2 + 29555125*j + 8209750.\nAnswer: 5*(j + 328390)*(18*j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3844.67 + 3844.67231131. Round j to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*o = -341*o + 666*o + 189. Solve 0 = -o*m + 14*m + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 389737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 3*q**2 - q**4 + 0*q + q**4 + 0*q + (-4*q + 0*q + 2*q)*(q**3 - 3*q**2 + 3*q**2) + 10 - 10 + 3*q**4.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3)\/w)\/w**(2\/5) assuming w is positive.\nAnswer: w**(-11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6797*m**2 + 5*m - 358220 wrt m?\nAnswer: -13594*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.5 - 20.7. Is t less than or equal to 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 9:23 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 10931 + 10925 = 0, 4*n + x + 6 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13391 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 400*l**5 + 5120*l**4 + 14964*l**3 + 11252*l**2 - 2720*l + 144 = 0.\nAnswer: -9, -2, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 386 - 169. Let x = p + -118. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 11*j**2 - 12*j + 4. Let u be r(12). Calculate the remainder when 72 is divided by (5\/2)\/(u\/40).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.4 + 19. Let f = -10.6 + s. Let j = 0.18 - 0.21. Which is the closest to -0.1? (a) 1 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 932\/12 + (-3)\/(-9). Suppose -5*t = -u + 8. Calculate the lowest common multiple of t and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 10. Let b be w(13). Suppose 4398 + 3017 = -2*f + b*p, -5*p + 11125 = -3*f. Round f to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 0*o - 3 - 1\/16*o**4 + 0*o**2 + 1\/4*o**3. Solve d(u) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 0 - -1) + (4 - (-1 - 16))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38325 by 105.\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/352 and -39\/1606.\nAnswer: 25696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*x + 6. Let h(w) = -5*w + 18*w**x - 17*w**3 - 18 - 8*w**2 - 3*w + 0*w. Is h(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a + 5*o + 23 = 0, 4*a = -2*o + 22. Suppose -4*i - a = -46. Let c be (((-16)\/(-5))\/4)\/(2\/i). Solve 0 = -v - c, b + 2*v - 4 = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -57036.3 - 235.4\nAnswer: -57271.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*y - 27. Let i = y - 29. Let a be (-1)\/(-5) - 792\/i. Calculate the greatest common divisor of a and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/1)\/(16\/(-24)). Suppose 0 = q + 5*t - 0 - 41, -13 = 3*q - 2*t. Sort q, -1, b.\nAnswer: b, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6678 + -4905. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34659947 to the nearest integer?\nAnswer: 5887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2473204 divided by -409.\nAnswer: 2473204\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -7 + -5 - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 211\/3 + -71. Let g be (3\/(-3 + (-20)\/(-8)))\/(-2). Let p = 0.111 + -0.211. What is the closest to m in 0.5, p, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 612 - 181*u - 380*u - 922*u + 53*u with respect to u.\nAnswer: -1430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**1*z*z)\/(z**5*z))\/(z**(2\/17)*z**(-1)*z*z*z*z))\/((z*z*z*z**(1\/5)*z)\/(z\/(z**(-1\/5)*z)))**(-2\/61) assuming z is positive.\nAnswer: z**(-6208\/1037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 divided by -2?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -8.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96446 is divided by 13761.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001553883802 to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (0 - 4)) + 1 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8523*g = -j + 8525*g + 32, -j + 10*g + 152 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 5*j**2 - 6*j - 3. Let o be y(6). Put 2, o, -1 in ascending order.\nAnswer: o, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-10)*((-150)\/90)\/(66\/18)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 45*q + 530. Give p(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*y + 46 - 10. Is y >= 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, e: 7}. Give prob of sequence eee.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64117 and 12909991?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c**2*i**3*w + 2*c**2*i**3 - c*i**3*w + 12*c*i**3 - c*i**2*w - 2*i*w wrt c?\nAnswer: -14*i**3*w + 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j - 8. Let p(f) be the third derivative of f**4\/8 - f**3\/6 - 15*f**2. What is the smallest common multiple of p(1) and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 107 - 7. Solve -2*r - 2*u + 4 = 0, r - 4*u - 2 = d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9582 and 62902636?\nAnswer: 3194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*n + n. Let u be 3\/1*(n - 1). Suppose 3*s + p = -2*s + 32, -2*s + 5 = u*p. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 0.2, 0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88715247?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k - 4*k**2 + 0*k - 10*k**2 + 5*k**2 - 68*k**2 + (k - 2*k - k)*(2*k + 3*k - 4*k) in the form h*k + s*k**2 + p and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5011, 5046, 5121, 5254, 5463, 5766, 6181, 6726?\n\"Answer: 3*h**3 + 2*h**2 + 8*h + 4998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-78)\/13*2\/4. Suppose 12*y + f*y - 63 = 0. Let l be (-2)\/2*(-2)\/2. Sort 5, y, l in descending order.\nAnswer: 5, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**3 - 2*x + 2 + 4*x - 4*x - 2*x**2 - 2*x**2 - 2*x**4 in the form m + i*x + n*x**4 + v*x**2 + o*x**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*m**4 - 12*h**2*m + 4*h*m - 50*m**5 wrt m?\nAnswer: 24*h**2*m**2 - 1000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**2 - 4*d**2 - d**3)*(-579 + 468 + 703) + 27 - 27 + 9*d**3 to the form j + x*d**3 + m*d**2 + n*d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 3 (c) -5 (d) -83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -151 - (7 + (29 - 15))?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-3 - -4) - (-34 - -9 - -22).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-19)*63\/(-18)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 11 + 15)*(-11 + 10 - 14)*(-3*z - 3*z + 5*z) + z + 4*z - 3*z + 2 as a + h*z and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14832\/189083 - -70\/8221. Let a = 0.3 + -7.3. Put c, 0, a in descending order.\nAnswer: c, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*1*2 + (-1 + sqrt(200) - sqrt(200))*-5)**2 + -2*5*(sqrt(8))**2*6.\nAnswer: 200*sqrt(2) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n - 2. Let v(m) = 16*m - 11. Calculate 22*k(q) - 4*v(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**3 + 3*m**3 - 4*m**3 + (152*m**2 - 77*m**2 + 401*m**2)*(3 + 3 - m + 0) + (m**2 - 2*m + 2*m)*(m + 2*m - 5*m).\nAnswer: -483*m**3 + 2856*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43651 is divided by 10849?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**5 - 35376*z**4 - 104075865*z**3 + 1254045120*z**2 + 104075868*z - 1254009744 = 0.\nAnswer: -5902, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175608 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-2))\/(-1*((-16)\/12)\/(-4)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 5. What is the biggest value in -1\/4, -90, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a + 1. Let o(y) = -27*y - 6. Let k(d) = 11*g(d) + 2*o(d). Let h(t) = 5. Determine h(w) + 3*k(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*q + 4*h - 20, -5*h + 36 = 4*q. Suppose 2*z = 0, 2*a + z + q*z - 24 = 0. Solve w = 4*m - 11 - a, -4*m + 32 = -4*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*t + 9, 4*t = -i + 2*i. Solve -4*b - 2 = -2*y - b, 2*b + i = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -483, -1, 2, -3, 51 in decreasing order.\nAnswer: 51, 2, -1, -3, -483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + s + 25*m + 45 = 28*m, 90 = 2*s + 4*m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 967 - 1452. Find the common denominator of -145\/18 and k\/55*1\/2.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 11*h**2 + 268*h + 1187. What is f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 38.4. Which is the second smallest value? (a) -3 (b) -0.1 (c) k (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 0*w + 1. Suppose -19 = -j - w. Let n be 10\/j + (-6)\/27. Which is smaller: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 0*k + 14 = -k, 0 = -5*l + 112568*k - 112570*k - 32 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/((-1)\/10). Let l = -141 + 197. Suppose 15 = -m*q, -4*q = 3*g + 11 - l. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f - 4 = 0. Solve 6*t - 16*t - 27 + 5 - 47*t - 3*t**f + 148 = 0.\nAnswer: -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2. Let k(r) be the first derivative of r**3 + 1. Calculate k(i(w)).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 14 = 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2602960404.\nAnswer: 2, 3, 11, 19, 419, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/10 - 7\/(-2). What is the third derivative of -x**4 - 4*x**2 + b*x**2 - 2*x**4 wrt x?\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 20*c - 32.\nAnswer: -2*(c - 8)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + -1.1. Let a = 1 + w. Let g = -3667\/6 - -611. What is the biggest value in g, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 328 times -0.4\nAnswer: -131.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5142547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55924*a**4 - 290856*a**2 wrt a.\nAnswer: -1342176*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = l + 2*l. Let s = -2 + l. Suppose s*g - 4 = 2*i - 1, -5*i + 12 = -g. What is the nearest to 1 in 1, g, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38970 * 2.\nAnswer: -77940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67175?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 5, 4, 10\/11?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*6\/12*(-220)\/(-594)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3780\/(-150))\/42)\/5?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*(sqrt(2736) + 0 + sqrt(2736))*-6 - sqrt(2736)*-2*6*2))**2*6.\nAnswer: 37822464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149 + -1931\/13. Is u greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -5) + 4 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 50 = -48 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1288 divided by -161\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -22589 (b) -1 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 + 41. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2 - 292*f + 10658 = 0.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 63c6 + bd88?\nAnswer: 1214e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzpz when four letters picked without replacement from pppplpzplppppppppplp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -190.49 + 15.49. What is the nearest to 0.3 in 0.3, 1, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x*x*x**8*x)*x)\/x)\/(x*x\/x**(-4\/5))*(x**(-4))**(-36))**(-2\/3) assuming x is positive.\nAnswer: x**(-1322\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 11:02 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62313299*m**2 - 62313299*m**2 + 311*m**3.\nAnswer: 311*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -d6?\nAnswer: d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/9 - (0 - 1). Let d = z + -2. Which is the biggest value? (a) 0.3 (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*f = -202*f + 549. Let w(v) = 4*v**2 + 2*v - 3. Let j be w(4). Let h = f + j. Solve 4 = -3*o - h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-372)\/(-558))\/(2*-3).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 551 + -1052. Let k = -327 - z. Calculate the highest common factor of 232 and k.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -345.016 + 343. Round h to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - 1.03. Let w = 2.35 - 2.31. Which is greater: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 5965848*i**2 - 2224417135920*i - 31143009220064.\nAnswer: -4*(i - 745738)**2*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-108)*(-42)\/(-7)*(-30)\/25\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15960\/532*(2\/5)\/((-4)\/(-5))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-120)*26 - (-7 - -4). Factor 0 + 0*b + y*b**2 - 1\/5*b**3.\nAnswer: -b**2*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 70 = -5*t, 0 = 825*q - 823*q - 19*t - 8*t + 328 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 25*r - 41. Calculate g(-9).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113921739?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 (base 3) in base 10?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-10 - (-8 - (9 + -20))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 4*j = 5*d - 21, 4*j = 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128577263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-6))\/((-4)\/6). Let c(f) = f**2 - 1. Let m(k) be the first derivative of 0*k**2 + 2*k + 89 - 1\/3*k**3. Determine q*m(x) + 3*c(x).\nAnswer: x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*y + 243*y - 4*k + 4390 = 0, -5*k = 2*y - 2922. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**8\/280 - 17*b**7\/525 - 9*b**6\/100 - 7*b**5\/150 + b**4\/10 - 1079*b**2. Determine u so that j(u) = 0.\nAnswer: -3, -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d + 86. Let o be 9*(-1 + 0\/1). What is the remainder when d is divided by (-2)\/6 + (-138)\/o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13198 * 0.065\nAnswer: 857.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*g + 2*a + 2, -4*g + 32 = -5*a. Suppose 2*s - 60 = -g*s. Solve 0 = x + 4*j + 12, -x + s = -j - 3*j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, 3, 0, -14, 33, -2 in increasing order.\nAnswer: -116, -14, -2, 0, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t - 3. Let g(r) = 5*r + 4. What is -4*g(k) - 3*q(k)?\nAnswer: -2*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + 0 + 5)**2 + (sqrt(304) - 3*(-1*sqrt(304) + sqrt(304))**2))*4 + -4 + -5*sqrt(228)\/(-1*sqrt(12))*-1.\nAnswer: 171*sqrt(19) + 1312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 a when three letters picked without replacement from eaeeaea.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -5. What is the third derivative of 33*q**5 + v*q**5 + 232*q**2 - 236*q**2 wrt q?\nAnswer: 2640*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133431 and 3239?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2016133669.\nAnswer: 11, 183284879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2. Let z(h) = -3*h**2 + 1. Let f(y) = 6*y**2 + 10. Let o(l) = -f(l) - z(l). Calculate u(o(g)).\nAnswer: 9*g**4 + 66*g**2 + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65067563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o + 6. Let b be x(-4). Let c be (-1)\/3 - 38\/b. Calculate the greatest common factor of 30 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7 - 12 - v.\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80462 = -876*l - 3600*l + 298762 + 1236 for l.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54185\/8858 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1182465 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 4*f**2 + 4*f + 9. What is c(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -0.2, 0.2, 0, 31, -1 in decreasing order.\nAnswer: 31, 21, 0.2, 0, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28372270 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 2*s - 3*s)*(-145*s**2 + 74*s**2 + 11 + s + 70*s**2) as u*s**2 + j + w*s**3 + p*s and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l**(2\/19)*l*l)\/l)*(l*l**(1\/14)*l)\/l*(l*l**(2\/5))**(9\/2) assuming l is positive.\nAnswer: l**(4832\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-1\/4)*k)\/k)\/k*k)\/((k\/k**(1\/4)*k)\/k)*(k\/k**6*k*k)\/(k*(k\/(k*k\/(k*k**5*k)))\/k*k) assuming k is positive.\nAnswer: k**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + 8*v**2 + 29*v**4 + v + 25*v**4 - 50*v**4 in the form c*v**2 + s*v + p*v**3 + q*v**4 + w and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(84) - 1*sqrt(84)*3)\/(sqrt(240)\/sqrt(5)*-3))**2*-3*1.\nAnswer: -1183\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1344)\/sqrt(7) + sqrt(3000)\/sqrt(10).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -728 + 1221. List the prime factors of o.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153 + -157.139. What is a rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002757 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -76250035?\nAnswer: -76250036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t = 7*t - 660. Suppose 0 = t*y - 20*y - 30. Solve -8*r = -3*r + y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16477 divided by 78\nAnswer: -16477\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64036\/3 - 21345. Which is the second biggest value? (a) 0.04 (b) 0.2 (c) -2\/11 (d) 1 (e) q\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 4)*(-4 + 5 + 3)*(-4*t**2 + 3*t**2 + 13*t**2) as w + j*t + n*t**2 and give n.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -31*x**3 - 7*x**2 - 6. Let z(f) = f**3 + f**2 - 1. Let w(p) = -c(p) + 6*z(p). Find the third derivative of w(q) wrt q.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2 = -3*n + z, -12 = -4*n - 3*z. What is the least common multiple of n and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, r: 6}. What is prob of sequence ss?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5 + 0 = p, 5*g + 75 = 5*p. Calculate the smallest common multiple of p and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*a - 1 + (-3 + 0 + 1)*(-a - 5*a + 3*a) in the form y + v*a and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12326619 is divided by 225?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -1, 1, -3.3 in decreasing order.\nAnswer: 1, 0.01, -1, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 33 = -23. Suppose v + 12 = 5*d, -6*v + f*d = -3*v + 88. Is (v\/4)\/(-4) + (2 - -7339) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4447 + 4433 + -2 + 121?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 293*g + 23. What is the hundreds digit of o(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8858*x**2 + 4398*x**2 + 4466*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a kilometer in meters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-6*(sqrt(68) + (-4*sqrt(68) - sqrt(68)))*4 - -3*(4 + sqrt(68)*-2)))**2.\nAnswer: 2520*sqrt(17) + 550849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -998 - -997.42. What is the biggest value in -0.2, -2\/3, w, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/603 and -39\/268.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104795694 and 3726?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -42. Solve 10 = 5*c - f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -26*t**2 - 278*t + 962. Let j(c) = 95*c**2 + 1114*c - 3849. Let u(r) = -3*j(r) - 11*v(r). Differentiate u(x) wrt x.\nAnswer: 2*x - 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**3 - 18*f**2 - 4*f + 10. Let x(g) = 2*g**3 - 19*g**2 - 2*g + 8. Give 4*r(i) - 5*x(i).\nAnswer: 2*i**3 + 23*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + n - 179 = -46, 0 = -k + 3*n + 17. What is the highest common divisor of k and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 5*x**2 + 2*x - 21. Let k be z(6). Let g(i) = i**2 - 22*i + 38. List the prime factors of g(k).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 572777, 577958, 583141, 588326, 593513, 598702, 603893?\n\"Answer: q**2 + 5178*q + 567598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (-3*sqrt(1539) + sqrt(1539) - sqrt(1539)) + sqrt(1539))**2 - (-5 + (sqrt(1539) + sqrt(1539) + 1)**2 + sqrt(1539))) + 0.\nAnswer: -81*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m. Let n(j) = 2*j - 5*j - 2*j - 1. What is 2*n(i) + 9*s(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 13*c**2 - 13*c - 8. Let j be g(-12). Let m be 2 + 27 + j\/(-2). Suppose 23*v - 90 = 13*v. Calculate the highest common factor of v and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10211101 (base 7) to base 15.\nAnswer: -11ec01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -3. Suppose -3*o + 200 = o. Let g be 5\/(o\/28) + -2. Which is the nearest to -1? (a) g (b) 2\/19 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550304339?\nAnswer: 13, 42331103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 4:25 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(3\/20))**(-43)*(((n\/n**(4\/7))\/n)\/(n**(-5)\/n))**35 assuming n is positive.\nAnswer: n**(3671\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/116648 and -133\/412434.\nAnswer: 11548152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 - 678 = -3*d. Suppose -d = b + 8*b. Let t = 681 + b. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-45) - 57\/5. Let b(q) = q**3 + 4*q**2 + q - 1. Let c be b(-4). Let f = c - y. What is the remainder when 9 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19 - 66 + 18 - 18*f - 44*f with respect to f.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*k + 17, -4*z + 31 = 3*k + 7. What is the smallest common multiple of 277 and z?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 48. Let f be (-7)\/7*(k + 0). Let o(h) = h**3 + h**2 + h. Let a(n) = -2*n**3 - 5*n**2 - 2*n. Let s(w) = f*a(w) - 3*o(w). Solve s(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 24. Let g(j) = 2*j - 27. Let o be g(14). Let n = 0.02329 - -0.27671. Which is the fourth biggest value? (a) w (b) 0 (c) o (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 338744170*j**3 + 392890372*j?\nAnswer: 2032465020*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -6.94. Let b = p + 1.06. What is the smallest value in 0.4, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3688981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4742 by 1330.\nAnswer: 2371\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27927 + 1071 - 28995 + 16*y.\nAnswer: 16*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -23079*b**3 - 2*b**5 + 1214 - 7358 - 71238*b**2 - 25*b**5 - 39552*b + 1656*b**4 = 0.\nAnswer: -2, -1\/3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -418*p + 246. Let d be n(-6). Suppose d = -1040*z + 1043*z. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 7*p**2 + 4*p - 7. Let y be h(5). Let j = y + 63. Let u(i) = i**2 - 7*i + 3. Let v be u(7). Solve -5*b - v*q - 10 = -2*q, b + 5*q = -j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 639 = -a - 2*r + 3947, 2*a - 5*r - 6670 = 0. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**3 + 195*l**2 - 45050*l - 45240 = 0. What is l?\nAnswer: -116, -1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -237, -4 in decreasing order.\nAnswer: -1, -4, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 6:24 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 0 + 1\/6*j**3 + 2*j + 1\/2*j**2. Let h(r) = -r - r - 2 - r. What is 4*f(m) + 2*h(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 3*d + 3. Let o(y) = -y**2 - 5*y. Let u be o(-6). Let i = 0 - u. Suppose -3*h + i*h = 9. Let v(m) = -3*m**2 - 4*m - 4. Give h*v(p) + 4*j(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -1.1 (c) -2\/27 (d) 3\/2 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8cd5a + 59c?\nAnswer: -8c79c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -11*o + 79. Calculate y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 7*r = -70*b + 273, -4*r - 2*b = -36 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14332 + -3271. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -47 + 46 - 18*b - 13*b - 9*b + 36*b. Let j(n) be the third derivative of -n**4\/24 + n**3\/6 - n**2. Calculate -d(g) + j(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 9*o = -71*o - 25*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1527284486.\nAnswer: 2, 7, 13, 19, 441667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-10)*(-4)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9829574 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4.9, -6\/7, -2, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f. Let y(z) = 4*z. Let q(r) = -3*l(r) - 2*y(r). Let t be q(-6). What is the units digit of t*(-1)\/(-4)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5 - 510*f**4 + 3682*f**3 + 3558*f**2 - 28736*f + 22008 = 0. What is f?\nAnswer: -262, -3, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 5 - 10 + 27 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6718, 13553, 20388, 27223, 34058, 40893?\nAnswer: 47728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179455.5l to millilitres.\nAnswer: 179455500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v**4 + 47734203*v**3 - 395510910*v**2 + 872850912*v - 218212704 = 0. Calculate v.\nAnswer: 2\/7, 4, 2273049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661482963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (5 - (-3 + 0) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 9:59 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 + 120111021211?\nAnswer: 120111020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -118*-5.6\nAnswer: 660.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8*a**3 + 5*a**2 + 3*a + 6. Let j(x) = -21*x**3 - 14*x**2 - 8*x - 21. Let r(n) = 3*j(n) + 8*q(n). What is r(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 + -120. Let a = -409\/48 - -3\/16. Find the common denominator of a and ((-4)\/6)\/(p\/366).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 greater than or equal to -1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9144.156 tonnes in kilograms?\nAnswer: 9144156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 8 = -3*g + 14, 18 = -4*w + 2*g. Let b(n) = n**2 + 5*n - 1. Determine b(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5575)\/(-446)*(4\/5)\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 19. Let t(n) = -17*n + 113*n**2 - 21*n + 31*n - 12 + 6. List the prime factors of t(g).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/846 and 95\/14.\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/21)\/(-2 + 1). Let o = -433061 - -433061. Which is the nearest to o? (a) f (b) -5 (c) 4 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -3. Let y(z) be the first derivative of -2*z**5\/15 - 3*z**2 - 5. Let q(g) be the second derivative of y(g). Determine q(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/4323126 and 11\/15?\nAnswer: 21615630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 81.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*z - 16, 6*z + 32 = 2*h + z. Suppose 0 = 3*f + h - 214. Let o = -32 + f. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -822\/23 or 5\/73?\nAnswer: -822\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -952, -1058, -1222, -1444?\nAnswer: -1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = -6*v. Suppose 16 = -4*j, -4*m - 4*j + v = -2. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 15*u**2 + 15*u - 403. Calculate c(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -51.1. What is the closest to q in 0, -5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1599807 and -50\/10326027.\nAnswer: 113586297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 15*b**3 + 9*b**2 + 25*b - 14. Let d(u) = -8*u**3 - 4*u**2 - 13*u + 7. Let a(x) = -11*d(x) - 6*p(x). Is a(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 15, w: 4}. Give prob of picking 2 w and 2 v.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 323?\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/22 and (-2)\/88*(11 - 93\/2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*u - f - 20, 28 = 4*u + 3*f. Suppose 28 = 2*r + 5*r. Let y be 45\/(-60) + 19\/r. Solve -u*g + 3*l - 11 = 0, -2*g + l - 3 = y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.166 to one dp.\nAnswer: 22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6)*2)\/((-14100)\/(-423000)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 871 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, 7, 6, -7, 1 in descending order.\nAnswer: 7, 6, 1, -7, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33255862901760 and 1.4.\nAnswer: 33255862901761.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/13*1\/2. Is p less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**5\/8 + 1009*y**4\/2 + 36753*y**3\/8 + 17941*y**2\/4 - 2797*y - 3192 = 0. What is y?\nAnswer: -798, -8, -1, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Suppose 3*w - 3*l + 8 = y*l, 0 = -3*w - l + 16. Solve -w*n = 3*t, -2*n + n = 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.338 + -0.162. Which is the second biggest value? (a) o (b) 0.3 (c) -1 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 2*g - 1. Let h be n(-1). Suppose 3*t - 2 = -r - 4, 3*t + 5*r + 22 = h. Is 1 - (-5 - 1\/t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -105?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2739 and 18\/913?\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 7:09 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4*(-3)\/4 + 15)\/(-1). What is the units digit of 12\/10*(-16 + (-2802)\/b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j - 5. Let t be s(-2). Which is the second biggest value? (a) -3 (b) 0 (c) -2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383094059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/30 - w**4\/8 + 19*w**3\/6 + 25*w**2. Does 24 divide v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -316 + 311. What is the lowest common multiple of 77 and z\/(-20)*(38 - -2)?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -38, -118, -240, -404, -610, -858?\nAnswer: -1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418924143.\nAnswer: 3, 11, 42743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 182.4952kg in tonnes?\nAnswer: 0.1824952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1815*o - 544 + 53860 + 30174 = 0 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.4, -5\/518, -1, 50.\nAnswer: -1, -2\/3, -0.4, -5\/518, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59)\/177*(-4)\/(-14)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/14 and -89\/40722626.\nAnswer: 40722626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, 14, 49, 98?\n\"Answer: 7*q**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 a when three letters picked without replacement from {r: 2, a: 1, n: 2, c: 4, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 44. Let j be (-9)\/12 + 6\/40. Which is the second biggest value? (a) j (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -729485*r**4 + 6*r**3 - 122*r**2 - 45*r + 132.\nAnswer: -17507640*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 0*o**2 + 0*o**2)*(3*o + 9 - 9).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 14, 2\/11, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 96\/1439?\nAnswer: 96\/1439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + 22. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 3) + -4 - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82 + 15*x**2 - 15*x**2 + 0*x**2 - 8*x**2 to r + g*x + u*x**2 and give r.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + -1 + (-39)\/13. Let q(w) = -28*w**2 + w - 1. Determine q(s).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 857000 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1 - 1.1. Let u = 2 + a. Is 1\/2 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3563, -14263, -32097, -57065, -89167, -128403?\nAnswer: -174773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b = 24. Let o(g) = 2*g + 6. List the prime factors of o(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, g: 1, h: 2}. Give prob of sequence lhhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - 411a?\nAnswer: -4129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - sqrt(136)*-1*-1)\/(sqrt(8) + sqrt(56)\/(sqrt(14)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*v - 455427 - 270714, 5*v - 3630880 = -5*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pippppiiiiipp. What is prob of picking 1 p and 3 i?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*s + 11, -j = s + 2*s + 1. Solve 5*c - j = 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 + 14 = 15*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*p**2 - 75 + 51 + 18 - 109*p**2 to a*p + o*p**2 + x and give o.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51998767 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-2\/5))\/(c\/(c*(c\/c**(3\/4))\/c*c*c)))**(-35))**(-23\/4) assuming c is positive.\nAnswer: c**(5957\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -2, 2\/11, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.4, 7, 3\/4, 28367?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17054502 divided by 3.\nAnswer: 5684834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert cc37 (base 13) to base 11.\nAnswer: 1a403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -18 + 21 - 12\/(-2). Let g(s) = 3*s**2 - s - 9. Let t be g(x). Calculate the highest common divisor of 25 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 39 - i + 10 - i**4 as b*i**4 + o*i**2 + p*i**3 + x*i + k and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 2*n + 0*n**2 + 0*n**4 + 1\/6*n**3 - 1\/360*n**6 - 1\/120*n**5 + 0. Let w(y) be the second derivative of t(y). Factor w(x).\nAnswer: -x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -4*y + 19 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 631\/1 + -53 + 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*0.086430472.\nAnswer: 0.605013304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j - 1. Determine v(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -357 - -135. Let l = 1019 + a. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4054 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 2)*(-2 - 2 + 3)*(-5*l - 1 + 1)*(0*l**2 + 6*l**2 + 0*l**2).\nAnswer: 150*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313072*h - 313090*h + 626131*h.\nAnswer: -31*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 55 = -8*n. Suppose -14*j + 21*j = 203. Calculate the remainder when j is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-30) + 48260\/8890 + (3 - 48\/14).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 42*s - 74. Let d be y(3). What is the highest common divisor of 3692 and d?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2412 + 2412. Let u be 14\/3*(-6)\/(-4). Let i be 2\/7 - (-33)\/u. Solve m*q + i = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5887.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651509527.\nAnswer: 16553, 39359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2 - 6 = 2*d, -2 = -d. Let v(n) = 2*n - 3. Let m be v(l). Solve c + m = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1. Let n(q) = -q + 3. Determine 5*i(a) + n(a).\nAnswer: -a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4 - g**2 + 0 - 4*g + 9*g + 0*g**2. Let h be n(3). Suppose 0 = h*z - z - 3700. Round z to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*b**4 - 39*b**4 - 8*b**4 + (2*b + 2*b - 5*b)*(7 + 5*b**3 - 7).\nAnswer: -60*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + t**2 - 40. Let c be u(0). Let o = -32 - c. Calculate the lowest common multiple of o and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0321? (a) 0.1 (b) -2\/5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m. Let z(b) = -7*b + 5. Let q(r) = 4*r - 3. Suppose 18 = -11*a + 5*a. Let l(k) = a*z(k) - 5*q(k). Determine l(j(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -8438 = -8437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28073, -56267, -84461?\nAnswer: -112655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (248\/(-1240))\/((-2)\/15670).\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 20*p - 38. Let q be w(-25). What is q rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -1)\/(2*(-4)\/232). What is the second derivative of 33 - 7*s - 33 - 7*s**2 + z*s wrt s?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(3\/5))**(-5\/7)*(t*t*t*t**(-7)*t)\/t**20 assuming t is positive.\nAnswer: t**(-163\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4770)\/(-25) - 2\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26320 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**5\/20 + o**4\/12 + o**3\/6 - o**2\/2 + 2*o + 20. Determine h so that a(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -7*n**4\/16 - 5*n**3\/8 + 3*n**2\/4 + n. Determine f so that y(f) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 10:03 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + ((-14)\/119 - 104\/(-17)). Solve 58 = -5*a - 2*m + 52, -b*a - m = 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3185 is divided by 114?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 737233*t - 5160582.\nAnswer: -(t - 737226)*(t - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*m - 24. Let g = -4 + m. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 1?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17179 - 17179 + 124*v to the form a + o*v and give o.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 37 + 55 + 93 + 8*b - 25*b + 2. What is the tens digit of g(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 4. Suppose -o = 2*o - 2*k - 53, 0 = 2*o + t*k - 44. Solve s - 3*z = -3*s + o, -z = 4*s - 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66882860 to the nearest integer?\nAnswer: 8178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 104*i**3\/3 - 38*i**2 + 21. Find the second derivative of q(w) wrt w.\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-10)*12597\/(-76) + (-3)\/5. Calculate the highest common divisor of k and 2046.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -6365 + 6293 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 223*u**2 + 11778*u + 485. Give t(137).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000174841 rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11682?\nAnswer: 2, 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.670402823 to 3 decimal places.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -41*m + 21. Let p(b) = 2912*b - 1495. Let s(g) = -143*f(g) - 2*p(g). What is the derivative of s(l) wrt l?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 5:29 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 39?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (18 - (-1 + 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -191.9 + 193.9. Suppose 3*y + 4*v + 10 = 0, 2*y - 2*v = -3 + 1. What is the fourth smallest value in y, 0.4, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 12844 = 28059. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3. Suppose -2*u + f - 103 = 0, 5*f + 324 = -4*u + 83. Let o = u + 54. Suppose o*a - 36 = 6*a. Let x(r) = 5*r**3 - 2*r - 2. What is a*m(v) + x(v)?\nAnswer: -v**3 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1 = -4*h. Let n be 7\/14*4*h. Is (4 - 2)*(-91)\/n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 6 = 2*o + 5*w, 0 = -2*o + 4*w. What is the third derivative of 199*s**5 - 184*s**5 + 4*s**o + 4*s**2 - 4*s**4 wrt s?\nAnswer: 900*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = -s. Let r be (-6)\/39 - s - -1. Let p be (-72)\/189 - -2*3\/9. What is the second biggest value in p, r, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610636469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-2 - -2) - 8. Let y = o - -13. Let z be ((-2)\/y)\/(-2*3\/(-9)). Which is the closest to z? (a) -0.3 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789277943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2\/3947, 1\/25 in decreasing order.\nAnswer: 1\/6, 1\/25, 2\/3947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j - 2. Let i be h(-4). Suppose 32 + i = 2*n. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2*t\/((t*(t**3\/t)\/t)\/t)*t*t*(t*t**(2\/13)*t*t)\/t*t**(-1\/10))**(-1\/70) assuming t is positive.\nAnswer: t**(-787\/9100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 1 + 3*f**2 + 0*f**3 - 4*f**3 + 6*f + 3*f**3. Let c be r(5). Calculate the highest common divisor of c and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 710630204 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 20*c + 51. Let j be m(-17). Solve -2\/7*n + 8\/7*n**2 + j = 0 for n.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 16, z: 4}. Give prob of sequence zkzk.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4068254*y**3 - 3*y + 3*y + 4068009*y**3 - 8136088*y**3.\nAnswer: 175*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 - 14 - 12) + (-3 + 1 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2722.587 and -5?\nAnswer: 2727.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6)\/((z**(-2\/49)*z)\/z) assuming z is positive.\nAnswer: z**(-292\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -754*(-15)\/3915*18\/(-16)\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 17*m - 46. Give n(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 3600 + 3672 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 9 + 31. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10000 divided by -1250.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 28\/35*5. Solve -3*c + f = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 35633863 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 1\/111794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 - 5*w + 2. Let o be a(-3). Let u be (o - -2) + 2\/2. Is (-1)\/(u - (0 + 6156\/3076)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 361, 362, 363, 364, 365?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -60638, -60691, -60780, -60905, -61066, -61263?\n\"Answer: -18*l**2 + l - 60621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-6))**(3\/43))**(-5\/2) assuming m is positive.\nAnswer: m**(75\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14*215\/(-510) + 493\/87\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -791*n + 648 - 194*n + 1553*n - 2*n**4 wrt n?\nAnswer: -8*n**3 + 568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*y - 7, 5*o = -y + 5*y - 6. Let c be (0 - o)\/(3\/3). Suppose -c*t = t. Solve t = 2*k - 3*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 - 9*d**2 + 3*d**2 + (-4 + 2 + 0)*(-10*d**2 + 13*d**2 - 12*d**2) + d**2 + 0 + 0)*(-5*d + 4*d + 2*d).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -376 + 4886\/13. What is the closest to -0.07 in 0.2, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -635 = 2*w - 5*r + 66, 2*w = r - 705. Is w less than or equal to -352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 - p + 7. Let j be x(0). Suppose l + 25 = 2*l. Suppose -2*r + j = -l. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3 - 9. Let b(f) = -f + 1. Let u be b(k). What is the common denominator of 2\/u + (-913)\/84 and 73\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -193.3377 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5242595.000026 + -5242619. Let l = j + 24. What is l rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 738.99 - 745. Let k = -6 - d. Let h = 0.11 - k. Which is the closest to h? (a) -1 (b) -2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 11*q**2 - q - 6. Let g be t(-11). Suppose -3*b + 5*f + 38 = 0, 0 = -5*f - 0*f - 5. Solve -3*o - b = g*p, 2*p = -4*o + 2 - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 665275739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 236 and 531.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chb when three letters picked without replacement from {c: 1, n: 2, b: 1, h: 2, e: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 944793.9 kilometers in millimeters?\nAnswer: 944793900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -47.973. Round y to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 14*y - 7. Let s(j) = -7*j + 3. Let b(x) = 5*s(x) + 3*z(x). Let v be b(-6). Let t = 55 + v. Calculate the least common multiple of 4 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117817*x - 58890*x = 58908*x - 1368 for x.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 311903 to the power of 1\/2, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*q - 1280*q - 292*q - 296*q + 2443*q - 290*q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31389.6 years to centuries.\nAnswer: 313.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2 (c) -5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -3, -8 in decreasing order.\nAnswer: 4, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*f - 68*f = -2*v + 3, 5*v + 2 = -3*f + 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -11*r + 27*r + 62*r. Put 2\/9, -1\/5, 3, 39, r in decreasing order.\nAnswer: 39, 3, r, 2\/9, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/2)\/(((-231)\/(-22))\/(2\/2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*1*2\/(-4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 60 = -96*w + 94*w, 42 = 3*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3481801 and -12227.4?\nAnswer: 3469573.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/1829 - 107917\/5487. Let z = 140075\/12 + -11663. What is the common denominator of z and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03325242 to 4 decimal places.\nAnswer: -0.0333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c + 2 = g, 5*g = -c + 24. Let h be ((-120)\/72)\/(c + 4\/6). Factor -7*z**3 + 20 + h*z**3 + 20*z - 3*z**3 - 5*z**2.\nAnswer: -5*(z - 2)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 7*b - 11 - 11)*(5 + 0 - 3).\nAnswer: 14*b - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2381 a factor of 445594626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 836\/(-1026)*50\/(-275).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3279091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*x + 1 = 4, 3*d - 5*x = 5. Suppose 2*c - 324 = -2*p, 5*c = -2*p - d*c + 339. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -11, -57, -143, -281, -483, -761, -1127?\nAnswer: -1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 25 = 5*m, 4*p + 3 - 13 = 5*m. Suppose -p*f - 10 = 5. Suppose -4*q - 5*v - 31 = 0, 0*v = -q - 4*v - 16. Put -2, f, q in decreasing order.\nAnswer: -2, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*i - 815349*i**3 - 99*i + 815347*i**3.\nAnswer: -2*i**3 - 70*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.371\nAnswer: -0.371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 11:43 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 129, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1532 is divided by 101?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7889, -2209, 7257, 20509, 37547, 58371?\n\"Answer: 1893*b**2 + b - 9783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**3 + 7*f**2 - 7*f + 10. Let m(c) = 7*c**3 + 15*c**2 - 15*c + 19. Let p(b) = 2*m(b) - 5*t(b). What are the prime factors of p(-7)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -31, -88, -179, -310, -487?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 186*q**3 + 8*q**2 - 128*q**3 - 9*q**2 in the form n + b*q**2 + g*q**3 + m*q and give g.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 1\/4, 0.5, -1\/40?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2068789*j - 2068256*j + 9594 = 0 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9023027 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l. Let y(x) = -2*x. Let m(a) = -4*k(a) + 3*y(a). Let c(d) = 58 - 74*d**2 + 89*d**2 + 55 - 113. Give c(m(f)).\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 24.\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvaaaaiiaivavaiiiaa. Give prob of picking 2 i.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 4. Let w be i(8). Suppose -w*m + 12 = -m. Let k be (-2)\/m + -6 + 5. Which is the third biggest value? (a) 0 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**2*w**4 + 4*u**2 - 2*u - 2*w**2 + 2*w wrt w.\nAnswer: -36*u**2*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -11 (b) 1\/9 (c) 0 (d) 2 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41141?\nAnswer: 41141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3*(-5 - 203\/2). Let u = c - -63. What are the prime factors of ((-58)\/39 + u\/(-52))*-72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w = 3*y - 343, 0 = y + 4*w - 121. Suppose 4*r - 3*s = y, 0*r - 2*r + 4*s = -44. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10328421, 10328441, 10328461, 10328481?\n\"Answer: 20*l + 10328401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a - 6*a + 4*a + (-2 + 1 - 1)*(a - a - 2*a) + 0*a - 3*a + 4*a - 2*a + 5 - 5 + (a - a - 2*a)*(0 - 1 + 2) in the form x + s*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20100, 20052, 20004, 19956?\n\"Answer: -48*g + 20148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 5\/2 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62965 + (-6 + (-248)\/(-24) - 4\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q**2. Let y(a) = 105*a**2. Let f(j) = -27*c(j) - 2*y(j). Let o(p) = 56 + p - 2*p - 26 - 30. What is o(f(w))?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (-15)\/(-9))\/(2\/6). Let h be ((-6)\/(-14))\/(c\/((-42)\/(-6))). Suppose 5*t + 3*w - 1293 = 0, 0 = -3*t - h*w + 885 - 108. List the prime factors of t.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2. Let f = 12 - 19. Let o(r) = 3*r**2. Let c(l) = f*z(l) + 6*o(l). Let h(b) = 0*b**2 - 6*b**2 + 3*b**2. Calculate c(h(i)).\nAnswer: 36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/((-520)\/750) + -47\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123957 - 113717 = 44*w + 36*w for w.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 0*y**2 + y**2)*(-y**2 + 1032 - 1021 + 7*y**2 - y).\nAnswer: 12*y**4 - 2*y**3 + 22*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5712)\/(-17017) + (1 - 30\/26)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56503610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + i**2 + i. Let n(v) = -5*v**3 - v**2 + 4*v + 5. Let s(y) = -n(y) + 6*u(y). What is the units digit of s(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 19*f**4\/12 + 19*f**3\/6 + 21*f**2\/2 - f - 143. List the prime factors of d(-7).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from {n: 7, e: 5, c: 2}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33\/5 of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(6\/23))\/f*f**(-1\/59)*f*f*f**(-5\/2)\/f*f**(-7\/4)\/f)**(-8) assuming f is positive.\nAnswer: f**(49154\/1357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61469759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 1, 18 in increasing order.\nAnswer: -15, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 2)*(6*r + 4*r - 8*r - 6*r**2).\nAnswer: 24*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353 (base 7) to base 13.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*z + 500 = -616. Let u = 16 - -3. Which is bigger: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 301 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113429 is divided by 570?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 831 = -z, 27*o - 3359 = -4*z + 26*o. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/10 (b) 0.05 (c) -25 (d) -1 (e) -4 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 - 3*r - 3. Let s(o) = -2*o - 14. Let d be 1 + 7 + 6\/3. Let n be s(d). Let y(j) = -23*j**2 + 17*j + 17. What is n*v(k) - 6*y(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3214, -0.8, 8\/5, 2\/13 in descending order.\nAnswer: 8\/5, 2\/13, -0.8, -3214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(((-8)\/64)\/1))\/(-1)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16459799?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - s**2 - s. Let m(r) be the second derivative of -r**4\/6 + 8*r. Determine y(m(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -546 + 551. Suppose 2*x - 7 = -l*z + 22, 18 = 2*z + 4*x. Let s(n) = -4 + 4 - n + 4. What is s(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + -3 - (-32 + 27 - -4).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + a. Let n = 44 + -44. Suppose 3*j + 15 = 5*d + 2, -j - 4*d + 7 = n. Determine z(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 = k, 2*k = k - 5*b - 5. Suppose k = 5*v - 6187 - 2928. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 5113438.\nAnswer: 3\/5113438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 19250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8770*z + 4471 wrt z.\nAnswer: 8770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 198*b*v*x**2 - 11164*b*x**2 + 14*v**2 + 3*v*x**2 + 9*x with respect to v.\nAnswer: 198*b*x**2 + 28*v + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46404 minus -34?\nAnswer: 46438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -6*d + 28, -t - 87*d + 89*d = 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 = 2*o + 127 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*i + 2646*t - 2649*t, 6*i - 58 = -2*t for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 2. Suppose 9 = 4*k + u. Suppose 0 = 2*b - 12 - k. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x**2 + 39*x + 840. Give z(-10).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**5 + x**4 - x**3 - x**2. Let p(s) = -17*s**5 + 6*s**4 - 6*s**3 - 18*s**2. Let b(n) = -6*a(n) + p(n). Find the third derivative of b(c) wrt c.\nAnswer: -660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4133, -38, -4, 2, -39, 3 in ascending order.\nAnswer: -4133, -39, -38, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41180*p**3 - p**2 + 4*p**2 - 41184*p**3.\nAnswer: -4*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 + 11 + j - 15 - 4*j**3 - 4*j + 2*j**2. Let f be b(-1). Let y be (16\/(-6))\/(5\/(-105)). Calculate the highest common factor of y and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*f + 19*f + 6*f**3 - 16*f**3 - 13*f**3.\nAnswer: -23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**5 + 1868*u**4 - 5628*u**3 + 5636*u**2 - 1880*u.\nAnswer: 4*u*(u - 1)**3*(u + 470)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12909 is divided by 3227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/7716 and -95\/2?\nAnswer: 7716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 12, z: 6}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*((-42)\/(-9) + (-5 - 0)). Let y(z) = 3*z + 68. Let c be y(-19). Solve -r = 4*u + c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1, 4, -0.1, -71849?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44766 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-12) - 2\/(-3). Suppose y = 3*r - 0*r - 4116. Does 25 divide r\/21 - (-2)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -478 + 234. Let h = -247 - b. Sort h, 5, -5, 3 in descending order.\nAnswer: 5, 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1113257628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 2110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**5 + 416*l**4 - 4272*l**3 + 17064*l**2 - 30348*l + 20088 = 0?\nAnswer: 2, 3, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 + -128.98. What is the smallest value in n, 2, -0.031?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -266435 + 4?\nAnswer: -266431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005400223 to 5 dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjsjssxjsjxxjjx. Give prob of sequence xss.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5 = 2*o, -55*y + 50*y + 50 = -5*o. Let f = -4 + 8. Solve v - f = y*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/1)\/((54\/504)\/((-1)\/4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from vxxxjvxjxxxx.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 158\/5. Suppose -g + s = -0 + 1, 3*g = -5*s + 21. Let k = -0.09 + 1.09. Sort k, g, j.\nAnswer: j, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 8:04 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/7)*t)\/(t**0\/t) assuming t is positive.\nAnswer: t**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1. Let k(v) = 2*v**2 - 4*v - 3. Determine k(a) + 2*u(a).\nAnswer: 2*a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 487259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 588 and 492548.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/35 - 61\/7. What is the units digit of 24\/9 - 3\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1536 divide 960632832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/3 + 16*v**2 - 30*v + 44\/3 = 0. Calculate v.\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2. Let i be 3*(2 - (-44)\/(-24)). Let g(q) be the first derivative of -1 + 0*q - i*q**2. Give g(c(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 6 - 18. Find the second derivative of m*f**5 + 12*f**4 - 4*f - 12*f**4 wrt f.\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 36.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -39432 divided by -31\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f - 438 + 2154 - 16*f.\nAnswer: -24*f + 1716","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104 - -84.8. Let u = 11 + c. Round u to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-1)*((-285)\/30)\/19.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 878128, 878125, 878120, 878113, 878104?\nAnswer: 878093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221002022221 - -210?\nAnswer: -221002022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16431134?\nAnswer: 2, 107, 76781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/6*(4\/3)\/4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4\/9631 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 201111 (base 5) to base 9\nAnswer: 8707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 2*s**5 + 29*s**3\/3 - 32. Find the third derivative of a(g) wrt g.\nAnswer: 240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64.5956+-372.8\nAnswer: -437.3956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 4*t + 7. Let f = 27 + -28. Let x(j) = j**2 + j - 1. Let k(q) = f*p(q) + 2*x(q). List the prime factors of k(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -94756 - 87132. What are the prime factors of k?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 12. Suppose -3*o - 2*s = -4, 2*s + c = 3*o + 6*s. Let d be o - (-3 + -1) - 1. Sort -1, 5\/3, d.\nAnswer: -1, d, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80330 and 290?\nAnswer: 80330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 5*l - 144. Let v be u(10). What is the greatest common factor of v and 498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32, -29, -22, -11, 4, 23, 46?\n\"Answer: 2*z**2 - 3*z - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 1 - 15) + 24?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39988587 and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 + 69. Suppose 150 - 921 = -f*m. 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 {n: 5}. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6442103 - -3478733767\/540. Let r = j + 2\/135. What is the common denominator of r and 109\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 287 = 1970. Which is smaller: o or -562?\nAnswer: -562","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -1\/4 (c) 497 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 92?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 1685\nAnswer: -6740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 172 = -4*d, -268 = -3*x - 5*d + 6*d. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3*l**2 + 3*i**3*l - 6146*i**3 + 2*i**2*l**2 - 3*i**2*l - 40*l wrt i.\nAnswer: -6*l**2 + 18*l - 36876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/23, 2\/1003 in decreasing order.\nAnswer: 0.1, 2\/23, 2\/1003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 minus -0.54?\nAnswer: 13.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -588604855 - -28.4.\nAnswer: -588604826.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-5\/6)*o\/(o\/(o*o\/o**(-2\/3)*o)) assuming o is positive.\nAnswer: o**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - b26?\nAnswer: -b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36685)\/(-2001))\/(-3 - -2)?\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 9:17 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -9 - (-8 - (-4 + 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2869 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34145457*u + 34145429*u + 1 - 167*u**2 - 191*u**2 to the form t + b*u + o*u**2 and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19106 + 21870. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2 + 1. Let l = 9 + 0. Suppose l*q - q = -8. Let j be y(q). Is j at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 8*h**2 + 6*h + 8. Let t = 91 + -48. Calculate the remainder when t is divided by n(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*d + 3*x - 3, -2*x = -4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/5 + 104*v**2\/5 - 2*v\/5 - 104\/5.\nAnswer: 2*(v - 1)*(v + 1)*(v + 52)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 25 + 5*o + 23*o - 3.\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, j: 1, l: 1, g: 3, m: 1, q: 3}. What is prob of sequence lq?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*d + 277*d - 2*s - 15 = 141*d, -2*d - 3*d - 5*s - 25 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-14))\/((-12)\/(-27)*3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 4*r = -13, 0 = -w + 2*r + 47 - 30 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 116352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1568 and 827512.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1620657223\/190807344 - -93\/232976. Let t = w + 110\/13. Let s = t - 59\/126. Put -3\/2, s, 0 in increasing order.\nAnswer: -3\/2, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2. Let f(q) = -26*q**2 + 2. What is x(f(j))?\nAnswer: -676*j**4 + 104*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 - -1491395089?\nAnswer: 1491395089.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 1. Let k be q(0). Let j be k - (0 + 2)*-1. Let p = j - -1. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/640 and -151\/36.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and -0.365564?\nAnswer: -0.5117896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 16*d**2 - 16*d - 36. Determine a(17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 274\/13 or 22?\nAnswer: 274\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(125)*1 + -2 - (sqrt(125) + (sqrt(125) - -5*((sqrt(125) - (sqrt(125)*-1 - sqrt(125))) + sqrt(125))))))**2.\nAnswer: 10500*sqrt(5) + 1378225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 60?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -206830 divided by -20683?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-6)*(-11034)\/(-107888)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -0*y - 4*y. Let t = y - 4. Suppose 0 = 2*p + t*p + 3*h - 440, -p + 2*h + 101 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**25*h**(-1\/29)*(h**0\/h)**(-5) assuming h is positive.\nAnswer: h**(869\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/7 + (4450\/712)\/(5\/(-4))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942939 is divided by 154.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10910 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*k**3 + 77*k**3 - 32*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100782*y**2\/7 + 201568*y\/7 + 8\/7.\nAnswer: 2*(y + 2)*(50391*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c6b9 (base 14) in base 13?\nAnswer: -67703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.442, 2\/9, -5 in decreasing order.\nAnswer: 1.442, 2\/9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2662 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + t - 12. Let n be 0 - (-6 - (1 - 3)). Suppose t*k + 5*h = -6 - 0, 4*h = -n*k. Solve -s + 10 = -k*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16186.\nAnswer: 2, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 14 = -43. Suppose -104 = -16*c + 8*c. Let o(d) = 14*d - 52. What is the remainder when o(c) is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*x**4 - 15*x**4 - x**4 + (-4 + 2*x**2 + 4)*(-2*x**2 + 2*x**2 + x**2).\nAnswer: 19*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**6\/72 + r**5\/120 - r**4\/24 + r**3\/3 + 3*r**2 + 2*r - 5. Let w(m) be the second derivative of j(m). Determine w(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-2)*(-234)\/(-26)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 5223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - m + 8 = 0, -3*k - 2*m = -5 + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247810 is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12012212320 (base 4) in base 13?\nAnswer: -440305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.6 (b) -2\/5 (c) 130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27637807 to the power of 1\/2, to the nearest integer?\nAnswer: 5257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = j - 4, 12 = -5*j + 32 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**5\/4 + 3*b**4 + 45*b**3\/4 - 27*b**2\/2 = 0.\nAnswer: -3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -450862, -901739, -1352618, -1803499, -2254382, -2705267?\nAnswer: -3156154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5191*137\/(-11919) - (-11)\/3.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*n = 234, 0 = -4*a + 3*a - 2*n + 42. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 120*m - 122*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (32\/20)\/(219\/(-75) - -3) and 116?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -25.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*l**3 - 78*l + 78*l.\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*o*y**2 - 332*o*y - 2361*y**2 wrt o?\nAnswer: 5*y**2 - 332*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 672.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -120? (a) 2 (b) -12 (c) 601 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.582 + -511.185?\nAnswer: -422.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -9874.\nAnswer: -9873.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*l + 9182 - 2357. Calculate the smallest common multiple of l and 150.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 104.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (95\/(-171)*(-4)\/10)\/1\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-18)\/16) + 23\/69. What is the third derivative of -3*t**5 + 28*t**2 - t**3 - 73*t**2 + 4*t**a wrt t?\nAnswer: -180*t**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*m - 82*m + 333*m - 85*m - 84*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcu when three letters picked without replacement from {c: 2, n: 2, u: 1, e: 6, g: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/2 - 15*y - 225\/2.\nAnswer: 3*(y - 15)*(y + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c*p*s - 44*c - 120*p*s - s with respect to p.\nAnswer: -4*c*s - 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2118 by -1059.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 2, w: 4, i: 7, z: 1}. Give prob of sequence hw.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6761 is divided by 125.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 245? (a) -30 (b) 4 (c) 34 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19 - 12256\/(-640))\/((-1)\/4 - -1). Suppose 0 = 4*d - 5*s + s + 36, 0 = 2*d - 3*s + 17. Let k be d\/3 + 4\/12. Put b, -2, k, -2\/9 in decreasing order.\nAnswer: b, -2\/9, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 43. What is the closest to r in -4, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiy when three letters picked without replacement from iyyiiiiiiyi.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x**3 + 2*x**2 + 4*x + 2. Let m(q) = 43*q**3 - 13*q**2 - 24*q - 13. Let v(o) = -39*i(o) - 6*m(o). What is the second derivative of v(g) wrt g?\nAnswer: 90*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/4 of a week?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elll when four letters picked without replacement from eelem.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)*u**(-4\/9)\/u)\/((u*u**7)\/(u**(-6)\/u)))\/(((u**(6\/7)\/u)\/((u\/u**0)\/u))\/(((u*u**5*u*u)\/u)\/u*u\/((u**7*u)\/u))) assuming u is positive.\nAnswer: u**(-1153\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) 0.7 (c) -0.1 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 821196217 to the power of 1\/2, to the nearest integer?\nAnswer: 28657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28.3 - -174.3. Let r = -0.04474521 - 145.95418479. Let f = c + r. Round f to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166161 and 291?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 53516981.\nAnswer: -4\/53516981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 710675*p - 29857170.\nAnswer: 5*(p - 42)*(p + 142177)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/80*10\/(-3)*21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.1. Suppose y + 8 = 3*y. Let o be (5 - 4 - 0)*y. Which is the closest to w? (a) 1\/6 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*(-93)\/186?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 4*n**2 - n - 3. Let m(t) = -t**2 - 6*t - 5. Let s be m(-5). What is the remainder when -2 - (s + 1 + -5) is divided by z(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 17*j**2 - 23*j + 42. Let t be v(21). Suppose -2707 - t = -31*y. Is y a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15415.\nAnswer: 5, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41023 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t + 44 - 22 - 25. Let k(d) = -6*d + 2. What is -4*k(i) - 3*s(i)?\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxxxmxmyimxxmiiim. Give prob of sequence xx.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**25\/r*r**23 assuming r is positive.\nAnswer: r**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -154*o + 123*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3 - 109*m**2 + 35*m**2 + 39*m**2 + 34*m**2 - m. Suppose -p = -2*p. Suppose 4*o + p*o = -4, -2*x - 7 = o. Give v(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {l: 1, e: 2, t: 1, g: 4, i: 2, h: 7}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*j**2 + 9*j**2 + 54*j**2 + (-j - 3*j + 0*j)*(-j + j - 2*j) - 12*j**2 - 43*j + 43*j.\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -130*b**2 + 6*b + 22. Let z(j) = -131*j**2 + 7*j + 22. Let g(d) = -6*r(d) + 5*z(d). Find the second derivative of g(x) wrt x.\nAnswer: 250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 316404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 26. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 599*q**2 - 1174*q**2 + 587*q**2. Let z(v) = 2*v**2 + 2*v**2 - v**2 - v**2. Give z(c(o)).\nAnswer: 288*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.085 - -11.855. Let m = 7\/15 + 1\/3. What is the smallest value in 5, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 8055 = 8*w - 4*w, 3*n + 9 = 0. Is 94 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 10883 = 4*s + 10873, 0 = -2*t - 3*s + 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -12) + (-1 - 0) - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37 and 5.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 4:13 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 4406 = -4417 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*i - 146*i - 13722 = -3*r, 5*i - 10 = 0. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 - 82. Let p(x) = -x**2 + 4*x - 3. Let u be p(n). Solve b - 2*b + 3 = a, -2*a + 4*b + 12 = u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143 - 142. Let o be (-1)\/3*(-9)\/(-15). Sort i, o, 4.\nAnswer: o, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1165553 (base 9) to base 10\nAnswer: 633954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49092 is divided by 9810.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 1, 0.3, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3099 + -2539. Calculate the lowest common multiple of v and 20.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 362322 + -105?\nAnswer: 362214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, -9, 4, -3.\nAnswer: -9, -3, 4, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-60)\/(-70))\/(2\/14). Suppose p*c - 10*c = 236. Let h = -16 - c. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2156265 divided by 108.\nAnswer: -239585\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -297.\nAnswer: 148.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 8164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p - 5. Let l be r(-13). Does 13 divide (-2)\/(l\/130 - (-33)\/55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193670 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -602 = -b + 61. Suppose 4*s - b = -n, -2*s + 0*n + 327 = -n. What is the greatest common divisor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 3*y**2 - 3*y - 2. Let o be (3 + 6)*-1 + 7. Calculate q(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3284707 (base 10) in base 7?\nAnswer: -36630256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 26 = 4*v, -50*v + 51*v + 14 = 5*g. Solve -21 + 9 = 4*n + 2*i, -4*n - 20 = -g*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 3032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2\/8461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4*-2590150\nAnswer: 10360600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0 + 0)*(-3*s**2 - 2*s**2 + 2*s**2)*(-21 - 2*s + 21).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5443605 divided by 5\nAnswer: 1088721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 179708 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {c: 7, p: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192695.\nAnswer: 3, 5, 7, 37, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44298476023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -1.9. Let y = -6409.6493 - -6410. Let d = y + -0.0507. What is the smallest value in d, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 201, 600, 1213, 1998, 2913, 3916, 4965, 6018?\n\"Answer: -7*l**3 + 149*l**2 + l + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-4 + 4 + 10 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 4. Calculate the greatest common factor of r and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 20 - n - 24 - 14 - 5*n. Let r be y(-4). Calculate the highest common factor of 30 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, t: 4, n: 5}. What is prob of picking 2 t and 1 n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2 - 3 - c - 2. Let t(k) = -26 - k + 38 - 18. What is 4*s(x) - 5*t(x)?\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 = 2*t. What is the third biggest value in t, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -10*a**2. Let i(h) = 25*h. What is i(z(w))?\nAnswer: -250*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000053725231 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -8. Let q(a) = -4*a - 48. What is the remainder when t is divided by q(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 7:59 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 5:14 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 1\/3*m**3 + 1\/120*m**5 - m**2 + 0 + 0*m + 1\/12*m**4. What is d in i(d) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1579607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-112)\/(-735) - (-39)\/819. Factor 1\/5*a**3 - x*a**2 - 8\/5 - 2*a.\nAnswer: (a - 4)*(a + 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -5*q + t, -2*q - 32*t = -33*t + 18 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 157241 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4242 is divided by 963.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 10160943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 + 0. Let c = -2 - i. Let d = 71.8 + -68.8. What is the closest to 0 in 1, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110021010201 + 12?\nAnswer: -110021010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**7\/840 + i**6\/72 - i**5\/120 - i**4\/6 + i**3\/2 + i**2. Let j(k) be the first derivative of h(k). Calculate j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -1444106.88557?\nAnswer: -1444107.08557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 - -114. Calculate the smallest common multiple of 289 and t.\nAnswer: 3179","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**7\/210 + x**5\/30 - 3*x**2\/2 - 1. Let b(f) be the second derivative of u(f). Find the third derivative of b(g) wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141.2 - 10.2. Let d = 2082603485 + -2082603616.0000059. Let i = d + p. Round i to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 9:41 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2249960 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*1\/(-44)*-2. Let m = 0.003 - 4.003. Which is the nearest to 0.1? (a) k (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*a**2 - 443*a**3 + 530*a**3 + 42*a**2 - 23499*a + 23499*a.\nAnswer: 87*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 7:58 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 581715\/112144 + 2\/7009. Find the common denominator of 53\/100 and x.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*n = -55 + 4367 - 66 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*s**5 + 31*s**4 - 4*s - 5?\nAnswer: 100*s**3 + 372*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -103545897 divided by -7965069?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 3)\/(2\/6). Suppose 12 = 2*i - 4*m, -i = 2*i + 2*m + y. What are the prime factors of 2\/2 - (i + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95 - -1 - (9604 - 9570).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/275)\/((-9806)\/(-49030)).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m + m**2)*(3 - 2*m - 3) + 6*m**3 + 8*m**3 - 6*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(95)\/(sqrt(5)*1) + 2)**2 + -5*((sqrt(38) - sqrt(114)\/(sqrt(12)\/sqrt(4)))\/sqrt(2)*3)**2.\nAnswer: -2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 301014231 (base 6) to base 10\nAnswer: 5087755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7 = -2*d, -3*k + 1 = -8. Let s = 988.9 + -989. Sort d, 0.14, s.\nAnswer: s, 0.14, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n - 1. Let q be a(1). Suppose -6 = -2*h + 2*i, h - 4*i - q = -h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13 (b) 4 (c) -1 (d) 464 (e) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 4)*21*10 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142.26 + -131.26. Which is the fourth biggest value? (a) -0.1 (b) 0 (c) -1\/45 (d) m (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 6. Let d be q(5). Suppose 19*y - 9 = -9. Let 2\/9*l**d + y*l + 0 + 0*l**2 + 2\/9*l**5 + 0*l**3 = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - u + 1. Let j(n) = 13*n - 16. Let g be j(-9). Let l = 127 + g. Let c(y) = y**2 - 6*y + 6. Give l*q(d) + c(d).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1341*p + 1330*p + 67 = 4*r, 5*p = -r + 28 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9e - cc1b?\nAnswer: -ccba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 17. Suppose -k + g + 1 = 0. Suppose 85*o = 87*o - 8. Solve -o*x - k = -5*v - 0*x, -3*x + 21 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 25 = 0, 3 = 3*y - i - 1. What is the remainder when 49 is divided by (1\/(-2))\/(y\/(-156))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*z - 17, 4*q + z + 3 = -5. Which is the nearest to q? (a) -2 (b) -0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 i when four letters picked without replacement from {i: 7, y: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**2 - 20*p + 197. Determine r(7).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/10044390 and 28\/25.\nAnswer: 50221950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 279878412 to the power of 1\/2, to the nearest integer?\nAnswer: 16730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 179 and 1131817.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1458.97105 + -1.616?\nAnswer: -1460.58705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 14*v + 27. Let b be l(12). Let y(c) = -c**3 + c**2 + 3*c - 10. Let t be y(b). Round t to 0 decimal places.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -c323f?\nAnswer: c3243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 4*m. Let x(q) = q. Let t(i) = h(i) - 4*x(i). Let j(s) = 4*s**2 - s**2 + 0*s**2. Calculate t(j(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 4) to base 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/7 in -5, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 9:38 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(40)\/(sqrt(2) + sqrt(8)\/sqrt(4)) - (-5 + sqrt(405)*1)) + 3.\nAnswer: -8*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105490392.\nAnswer: 2, 3, 7, 627919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/11 - 4240*u\/11 + 16992\/11 = 0. What is u?\nAnswer: -2124, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08 and 22764.\nAnswer: 22764.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 18 + -7)*(-1011)\/(-15). Suppose 3*t + 3*f = f + k, t = -3*f + 103. Calculate the greatest common factor of 23 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-4) - (2 - 5997\/4)?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*m**4*v + 15335*m**4 + m**3*v + 4*m**2*v + m**2 + 2*m*v - 16*m + 222*v + 1 wrt m?\nAnswer: 672*m*v + 368040*m + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8\/21 + 32\/21. Let c be (-28)\/(-16) - 2\/(-8). Is c smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/6)\/((-4)\/12). Let r be (-6)\/u*4\/6. Let s = 23 + -18. Put r, -0.07, s in descending order.\nAnswer: s, r, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1332 by 17.\nAnswer: 1332\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.855 - 1.314. Let j = g + -0.041. What is the closest to -2\/7 in 1\/6, 3\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s + 4*s**3 + 5*s - 2*s**3 to m + w*s**2 + v*s + k*s**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/3 - 12*w - 80\/3 = 0. What is w?\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/5)*c)\/c**(-4\/7)*c**(2\/13)*c*(c\/(c**5\/c))\/c assuming c is positive.\nAnswer: c**(-307\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8520139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 910684 and 5.\nAnswer: 4553420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 53*x**3 + 5*x**3)*(-x - 2*x + 0*x) - 388*x**4 - x + x + 389*x**4 + (2*x**4 - x**4 + x**4)*(-4 + 0 + 3).\nAnswer: -181*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0 + 0)*(952 + 8645 - 3127).\nAnswer: -6470*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1933*m - 850 + 1700 + 1494*m - 850 in the form t*m + r and give t.\nAnswer: 3427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -461, -921, -1397, -1901, -2445, -3041, -3701, -4437?\nAnswer: -5261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 67\/3. Let s = 0.033 + -5.033. Let d = 2.9 - 3. What is the closest to d in 4, s, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.032 + -0.748. Let q = -0.48 - c. Put q, -4, 2 in descending order.\nAnswer: 2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/(-189) + 3\/(-7). Let d = -625\/4 - -157. Let w be (1 + -7)\/((-9)\/6). What is the nearest to s in w, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -42 - 16 - -2) + -31 - -26?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4*j = 15 + 11, 0 = 5*j - 20 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2145670 by -2185.\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -100424.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4\/5)*q*q*q\/q**4)\/q**(-1))\/((q\/(q*q**(-3))*q)\/(q\/q**(1\/2)))**(-29) assuming q is positive.\nAnswer: q**(1007\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*s - 24*s - 22. Let v be 8\/20 - (-12)\/(-5). Let h = v - s. What is the remainder when 15 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -97 and -0.0271.\nAnswer: 2.6287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000041294 to seven decimal places.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*z - 23*z + 40*z + 2142 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -45) + -66 + 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43f + -3?\nAnswer: 43c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 4:06 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 - 740*l + 465*l + 1 + 0.\nAnswer: -275*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -91 in increasing order.\nAnswer: -91, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 2*j + 5*q, 0 = j + 4*j - 3*q - 165. Let p be (-4)\/(-22) - (-93)\/j. Let o be (0\/(p + -1))\/(-1). Solve -7 = -m + 4*i, o = 3*i - i + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 6 - 141*l**2 + 131*l**2 - 7*l. Find the common denominator of n(-2) and -53\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -384 - -388. Let i be 342 - h\/(32\/(-24)). What is the greatest common divisor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 16*u - 46. Suppose 3*l + 0*l - 2*s = 10, -4*l = -s - 10. Solve -6*i + l*i - 2*k = u, 4*i = 4*k - 32 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3111320221 - 3?\nAnswer: -3111320230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 234?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -1, -17, 2 in decreasing order.\nAnswer: 3, 2, 1, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1436*r**3 + 26*r**2 + 14*r + 7. Let w(m) = 239*m**3 + 4*m**2 + 2*m + 1. What is 2*o(x) - 13*w(x)?\nAnswer: -235*x**3 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 18156638*l**2. Let i(k) = -2*k**2. Determine f(i(b)).\nAnswer: 72626552*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -2. Let f be (l\/2)\/((-3)\/2). Let h = -3 + f. Let r(u) = -3*u + 2. Give r(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/6271 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 167073.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000333038 rounded to 6 dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 64 = 52. Which is the fourth smallest value? (a) -1\/2 (b) 830 (c) -0.1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.2865 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7. Let l(b) = -12*b**3 + 11*b**2 + 11*b. Let p be l(-1). Calculate the common denominator of (u - (-1 - -6)) + 147\/p and -11\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -30*o + 37. Let l be -5 + 24\/4 - 5\/1. Let z(b) = 11*b - 13. Let p(q) = l*a(q) - 11*z(q). Calculate p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 316393.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9 - x + 2*x + 3*x - 3*x. Let p(d) be the first derivative of -d + 2. Let h(z) = 2*p(z) - v(z). What is h(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -3*t**5\/4 + 11*t**4\/12 - 11*t**3\/6 - 8*t**2 + 3*t - 9. Let r(k) = 3*k**3 - 2*k**2 + 2*k + 3. Determine 11*r(l) + 2*z(l).\nAnswer: 3*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 5*o - 109*o = -3*o - 238. Factor -9\/2*a**o + 45\/4*a - 3\/4*a**3 + 75.\nAnswer: -3*(a - 4)*(a + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -45988*s - 137960. Calculate x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -3*j - 67, 2*u - u - 30 = 46*j - 0*u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1574 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1864240 and 640?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 763 - 962443288?\nAnswer: -962442525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4335 + 4700. What is the highest common factor of 7 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.20547, -4\/3, -0.2 in descending order.\nAnswer: -0.2, -4\/3, -2.20547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1725*p + 937. Is s(-102) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*y + 40, t + 4*t + y - 80 = 0. Let g = 2 + 13. What is the least common multiple of t and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 21 - 12 + 10239*h**2 - 2.\nAnswer: 10239*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 19*h - 7. Let s(p) be the third derivative of -3*p**4\/4 + 4*p**3\/3 - 32*p**2. Let a(i) = 5*q(i) + 4*s(i). Differentiate a(g) wrt g.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (1 - (-5 + 9)) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248985204 is divided by 98608?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 380063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16552 is divided by 2713?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -111 (c) 5\/33941\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 greater than or equal to 978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -23*v + 3. Let r(u) be the second derivative of 19*u**4\/12 + 888*u. Determine r(n(x)).\nAnswer: 10051*x**2 - 2622*x + 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 divided by -1?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3, -2, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14762 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 + 12*m + 6. What is g(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 30. What is the remainder when 20 is divided by j(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**11*s)**(2\/7)\/((s**8\/s)\/s)**39 assuming s is positive.\nAnswer: s**(-1612\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*h + 6. Suppose h*t - 18 = 12. Suppose i + 5 = 0, -q - t*i + 2*i = 16. Is q at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -f + 2*f. Let a(z) = -3*z - 1. Let l(x) = 25*x + 74. Let s(h) = -4*a(h) - l(h). Let b be s(-5). Sort -1, f, b in decreasing order.\nAnswer: f, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/15 of a millennium?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -701 + 203191?\nAnswer: 202490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*i**3 + 36*i**3 - 21*i**3 + 35*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s - 2*s. Suppose -u = s*u. Suppose 4*t + 5*k - 6*k - 31 = u, k + 22 = 3*t. Calculate the greatest common divisor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*n + 1245, -4*n + 7*m + 1016 = 8*m. Suppose -3*d + n = -401. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 1. What is f(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 632, 567, 502, 437, 372?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 14*x - 77. Solve 5*c = 2*f + 5, 5*c + x = 5*f - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -110, -208, -338, -512, -742, -1040, -1418, -1888?\n\"Answer: -2*a**3 - 4*a**2 - 72*a - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -43. Suppose -12 + 32 = -2*u - 2*s, -30 = 3*u + s. Let j = y + u. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4, -2\/943 in ascending order.\nAnswer: -2\/943, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**3 - 102423*f**2 + 3 - 3 + 34122*f**2 + 34099*f**2 + 34202*f**2.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)\/((m**(1\/5)\/m*m)\/m)*(((m*m**(2\/5))\/m)\/m)**(-47))**(8\/7) assuming m is positive.\nAnswer: m**(208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 685566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 97. Suppose -q - 32 = -3*g. Calculate the highest common divisor of g and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 960 = p. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) 91082 (b) -0.4 (c) -3 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3 - 592*t**2 + 692884*t - 21435008 = 0 for t.\nAnswer: -509, 32, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 422, 430, 434, 428, 406, 362?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 10:22 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*t = 190*t - 56818117. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24183178?\nAnswer: 2, 12091589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 870\/215 - (-1 + 5). Is f at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 17*j + 37. Let i be b(3). Let f(d) = 2*d**3 - 22*d**2 + 4*d + 4. Let q(m) = m**3 - 22*m**2 + 3*m + 3. Calculate i*q(z) - 3*f(z).\nAnswer: -2*z**3 - 22*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1442 - 751. Suppose -r + 115 = -4*o. Let y = -8 - -24. What is the highest common factor of o and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(95) - (sqrt(95)*1 - sqrt(95))) - sqrt(95)*1*-4)\/(((1*sqrt(90))\/sqrt(2))\/sqrt(9)*-4).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 5:20 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -2*h + 35. Let i = 111 - h. Solve 0 = 5*m - u - 23, 17 = i*m - u - 2*u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 115563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196026960, -392053920, -588080878, -784107834?\nAnswer: -980134788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 10*f + 5141 = -o, -4*f = 3*o - 10297. Let u = -1577 + f. List the prime factors of u.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2578679558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(14950\/(-1870) - -8). Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 298.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n + 2*n)*(103132*n - 53593*n + 2 - 52550*n).\nAnswer: -6022*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = q - 33, 11 = d - 0*d + 3*q. Let m = 3 + -3. Suppose -5*a + 70 + 35 = m. Calculate the remainder when a is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 47487284?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t**5\/11 + 1416*t**4\/11 - 36576*t**3\/11 + 37600*t**2\/11 + 60000*t\/11 = 0 for t.\nAnswer: -6\/7, 0, 2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12371*r + 14149.\nAnswer: 12371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -28. Let s be (-4)\/(-18) + (-7)\/(-9). Calculate the remainder when j is divided by (-6)\/((-3)\/3*s).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drdr when four letters picked without replacement from ddnkrn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**5\/150 + 1133*o**4\/60 - 1132*o**3\/15 + 11*o**2 + 153*o. Factor z(i).\nAnswer: -2*(i - 1132)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 = -4*y - 72*o, 58*y + 27*y = 83*y + 3*o + 37 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1237412300 to the nearest 1000000.\nAnswer: 1237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a micrometer in nanometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 16*l - 157. Let g be h(7). Solve -4*c = -4*v - 20, v - g*c = -6 - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + (sqrt(133)*2*-1 - sqrt(133)) - sqrt(133))\/(sqrt(7) - (sqrt(7) + sqrt(14)\/sqrt(2))*3))**2.\nAnswer: 171\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82211 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -381 - -383. Sort m, -8, 14 in decreasing order.\nAnswer: 14, m, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 4379\nAnswer: -32\/4379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91833.\nAnswer: 3, 7, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 6*n + 1. Let p be 2\/6 - (-20)\/3. Let h(y) = -3*y**2 + 11*y - 2. Suppose -6*g + 32 = 2*g. What is g*h(z) + p*f(z)?\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, -5388 in descending order.\nAnswer: -5, -9, -5388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4712209752 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*l + 8*l - 7*l + 3*l - 4*l - l + (4*l + 0*l - 5*l)*(2 + 0 - 1) + l + l - 4*l - 5*l + l + l - 2.\nAnswer: -20*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/4)\/(18\/(-16)). Let o(f) = f**3 + 9*f**2 - 2*f - 21. Let p be o(-9). Which is the nearest to q? (a) -2\/7 (b) 2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**3 + 13*k**2 + 13*k - 26. What is the tens digit of j(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 - l - 11. Let n be b(4). What is the greatest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3774 a factor of 213763134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -13*g + 20, -o + 58 = -3*g. Calculate the least common multiple of o and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 107, 106, 101, 92, 79, 62, 41?\n\"Answer: -2*g**2 + 5*g + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2066 - 2065.997584. Round v to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 558\/41?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/2 (b) 1 (c) -3\/5 (d) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sggagssasaaaa. What is prob of sequence saa?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.3 + -383005132.\nAnswer: -383005147.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 8*b - 16. Suppose 0 = b*o - 38 + 23. Suppose 4*g = y - 0*y - 13, -y - o*g - 14 = 0. Which is greater: y or -1\/62?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from googg?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 344*s - 6. Let b(m) = -7*m**2. Calculate b(c(r)).\nAnswer: -828352*r**2 + 28896*r - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 4a3?\nAnswer: 49d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1085, 6331, 20443, 47813, 92833, 159895, 253391, 377713?\nAnswer: 537253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 26 + 23 - 46 - (3 + (78 - -5))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-22\/9)\/q*q*q**(-14\/9)\/q*((q\/(q\/q**(-28)))\/q)**(12\/13) assuming q is positive.\nAnswer: q**(-413\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 40098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 297471583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.192 (b) 2\/7 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-12)*1 - (-7)\/(-4). What is the third smallest value in 0, -5, n, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.983 + -0.017. Put 0.2, -2, r in descending order.\nAnswer: 0.2, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51805453 + 51805453 + 8*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/7, -2, 0.05, 65, 299?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10 + 16*f + 19 + 1. Let y be q(17). Let g be y\/10 + (-5)\/25. Calculate the greatest common factor of 45 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*35\/(-45)*(-120)\/(-8). Let t(k) = -k**2 + 48*k + 77. Is 14 a factor of t(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6699.\nAnswer: 3, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23718803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -300, 1, 0, -246 in decreasing order.\nAnswer: 1, 0, -246, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -186, 3 in decreasing order.\nAnswer: 3, 1, -5, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-10) - 65\/(-25). Suppose -z*t + 2 = -4. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 80 from -131419.\nAnswer: -131499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-16)*2\/(18\/(-3))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23874639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 plus -207.7?\nAnswer: 112.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8976586*b. Let k(z) = z**2. Calculate k(j(u)).\nAnswer: 80579096215396*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545117773.\nAnswer: 53, 547, 18803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2806 divided by -3\nAnswer: -2806\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 7*h + 9. Suppose 21*m - 26*m + 190 = 0. Let p = m + -31. Calculate k(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 9 - 3*l + 7*l - 7.\nAnswer: l - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97350 and 251350?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -28. Let j be (-2)\/8 + (-170)\/u. Suppose -16 - j = -3*r - 2*p, 3*r - 5*p = 2. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 2:05 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 4. Suppose -50*d + 58*d + 48 = 0. Let t be d - (8 + (-66)\/6). Let z(a) = a**3 + 2*a**2 + 5. Give t*j(o) + 2*z(o).\nAnswer: 2*o**3 + o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s - 1300 + 12*s + 1022 - 1767 - 6*s in the form b*s + q and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 6*f - 1 + 9*f + 4*f. Let c(v) = -v**3 + 8*v**2 - 6*v - 1. Let a be c(7). Give n(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l - 13. Is 9 a factor of o(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 61*h**2 + 820*h - 46. Give l(-20).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 divided by -2?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3443\/77 - ((-2)\/(-7))\/(-1). Suppose 0 = 2*k + 3*t - b, -44 = -2*k - 0*t - 4*t. What is the remainder when 46 is divided by k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - -18 - (-4 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 118 = -4*f. Suppose 5*i = 4*x - 50 + 154, -x = 2*i - f. Let h be 12\/(-5)*i\/(-3). What is the highest common divisor of 176 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*k + 4*k = -135, -2*k = -10. Let i be w\/(-225) - (-2)\/(-5). What is the second smallest value in i, 6, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + b = 1 + 7, u + 2*b = 6. Let z be 41 - (-4 + (u - 3)). Find the third derivative of 2367*f**3 - 2367*f**3 - z*f**2 + 17*f**5 wrt f.\nAnswer: 1020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2)*b)**(-25)\/(b*b**(-2\/3))**(1\/4) assuming b is positive.\nAnswer: b**(-151\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154 + 153. Sort n, -13, -2 in decreasing order.\nAnswer: n, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 51?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -25. Suppose l = -y + 4*y - 66. List the prime factors of (6\/1)\/(6\/y).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118559328 by -7409958.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Suppose -p + i*c + 9 = -c, 13 = 3*p - 2*c. Suppose d - 7 = 4*r, 8 - 1 = p*d - 5*r. What is the biggest value in 2, -0.4, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -8405, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + ((sqrt(800) + sqrt(32))**2*4 - sqrt(32)).\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 7*p**2 - 18*p + 177. Give k(11).\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9055.504331 rounded to zero decimal places?\nAnswer: 9056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5))**(-4\/15)\/((h\/(h\/h**(-1\/5)))\/(h\/(h**(-2\/7)*h))))\/((h**(-2)*h\/(h\/(((h\/h**1)\/h)\/h))*h*h)\/(h**(4\/9)*h**(-1))) assuming h is positive.\nAnswer: h**(2872\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2*c = -20, -1411 + 1425 = r - 11*c for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4111402999.\nAnswer: 11, 373763909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 55*y**2 - 297*y - 18. Let n be o(-6). Solve n = 618*w - 634*w + 64 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11122321 (base 6) to base 11\nAnswer: 210640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/7 + -6 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236959?\nAnswer: 29, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9916313 + -1\nAnswer: -9916314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177*-0.046.\nAnswer: 8.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17963, -36036, -54109?\nAnswer: -72182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23436400 rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 170383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 - -2) - 45\/72.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3885 and 255855?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 192359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 22*a**2 - 31*a + 31. Let g(u) = -5*u**2 + 8*u - 8. Let z(s) = -9*g(s) - 2*o(s). Determine z(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 1. Let y be p(1). Suppose y = 2*n + n - 36. Let s(o) = -o**2 + 9*o - 6. Calculate the smallest common multiple of n and s(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1901837228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 15763255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 22. Let p(c) = z*c - 6*c + 10*c - 5*c. Calculate the smallest common multiple of p(-9) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.12 (b) 0 (c) -3\/2 (d) 25 (e) -16.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 3:00 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000786 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -521*x**2 - x - 3. What is s(-1)?\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-11)\/t*t)\/t*t)**(-1\/18) assuming t is positive.\nAnswer: t**(11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-170)\/1615 - (-1289)\/(-2736) and 103\/264?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 23*d - 102. Give u(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-117)\/(-3) - -38.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 5*s**2 - 3*s. Give o(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 35 (c) 1934 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36331?\nAnswer: 47, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7289182643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -248.891 - -249. Let q = -72.109 + t. Let x = -88 - q. What is the nearest to 3 in x, -4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 - u**2 + 4*u + 3. Let l be t(-2). Solve p - 3 = -l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*q - 7 = 270*q, -a - 2*q + 17889 = 0. 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 4 minutes before 9:13 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 1987*d - 1990*d + 81, 3*t + 35*d - 19*d = -24 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -290155, -580296, -870441, -1160590, -1450743?\nAnswer: -1740900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5*m - 20 = 7*r, 3*r - m = -8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283322662 to the nearest integer?\nAnswer: 16832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-1) + 4 + -8. Suppose -3*w - w = -n*j - 637, -2*j - 10 = 0. Suppose 0 = 4*k - 5*o - 96 - 19, 5*k + 3*o = w. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -13*a**2\/2 + 11*a + 4. Let v be n(9). Let y = -56 - v. Calculate the greatest common divisor of 125 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u**(-1\/5))\/u)\/u)\/(u\/(u*u**(-15))))\/(u*u**3)**(5\/2) assuming u is positive.\nAnswer: u**(-126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*p**2 - 8*p**2 + 14*p**2)*(-1 + 1 + 9*p + 1 - 1 + p + (0 + 2 - 3)*(-3*p - 2*p + 2*p)) to j*p**2 + q*p + u + h*p**3 and give h.\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.778 - 0.678. Put 3\/2, t, -1348 in decreasing order.\nAnswer: 3\/2, t, -1348","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from {n: 6, j: 1, q: 3, a: 4, t: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -36739 greater than or equal to -36742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010486518 to seven dps.\nAnswer: -0.0001049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*k - 33 = 0, 2*k = -5*n + 5 + 22. Let q(r) = n - 10 + 0 + 2*r - 14. What is the remainder when q(14) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 11*x**2 - 13*x + 16. Let c be o(12). Suppose -3*i + c*b + 63 = 6*b, -3*i + 48 = -3*b. Calculate the remainder when i is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, 2, -187 in descending order.\nAnswer: 116, 2, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7741785, -15483575, -23225365, -30967155, -38708945?\nAnswer: -46450735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245 divided by 384562.\nAnswer: 245\/384562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*d, 11*d = -3*p + 10*d + 15. Solve -1 = -p*m + 9*m + 5*a, -m - 2*a = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97714 to the power of 1\/2, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 153647, -25 in increasing order.\nAnswer: -25, 5, 153647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g - 43. Let q be r(-11). Let a(w) = 2451*w**2 + 4*w - 2. Is a(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20878915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + ((-12)\/1)\/(-2). Let j(k) = k**2 - 7*k - 8. Let u be j(g). Suppose u = 4*m - 2*m - 32. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44870?\nAnswer: 2, 5, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25023426 divided by -566?\nAnswer: 44211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*k + 55 + 74, 4*k = -12. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0265381105 to five dps.\nAnswer: 0.02654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 8824*y + 2653270\/3.\nAnswer: 2*(y + 101)*(y + 13135)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*b - 16, -b = -2*v - 0*b + 9. Let n = 8 + -23. Let q be n\/10*2*-1. Solve v = -3*z - 2*p, -z - q*p + 5*p = -2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115 - -95) + 17 - 35?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 115.76346 * -0.3\nAnswer: -34.729038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -1453*k**6\/30 - 4469*k**2\/2 + 2893*k + 1. Differentiate y(u) wrt u.\nAnswer: -5812*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 912 and 468168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1475196 is divided by 2069?\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1087 or -1093?\nAnswer: -1093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -2) + -3 + -1. Which is the closest to -1? (a) -2\/3 (b) -1\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 5*k**2 + 2*k + 6. Let u be h(-5). Let w = -4 - u. Let x = -0.3909 + 0.5909. Which is the nearest to x? (a) 2\/9 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - a - 5, -3*a = -19*g + 15*g - 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 646231, 1292464, 1938697, 2584930?\n\"Answer: 646233*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19494207.\nAnswer: 3, 2166023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/9 + 22*o**4\/9 + 74*o**3\/9 + 58*o**2\/9 - 76*o\/9 - 80\/9 = 0 for o.\nAnswer: -5, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 20 = -6*y, -3*u + 2*y + 8 = 0. Solve -3*f - u = -5*i, -4*f - 1 = -4*i + 7 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 + 4*k**2 + k + 3. Let m be h(-3). Let l = 20 + m. Let w = l - -41. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 3924.\nAnswer: -19620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 3*t + 8. Determine z(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101542211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*r + r. Suppose 2*j - 5*j + r = 0. What is f in -1\/3*f**4 - f**j + 0 - 1\/3*f - f**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12073 is divided by 42.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 + -151. Suppose 3*i - 4*q - 100 = 5*i, 5*i - 5*q = -205. Let u = i - r. Solve -k = -5*k + u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -6\/29 (c) -0.075\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from {k: 2, h: 3, p: 1, v: 2, j: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -529 - -752. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -377 at most as big as -370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -3\/16*t**4 + 1\/2*t**3 + 3\/2*t**2 - 3\/40*t**5 + 1\/40*t**6 - t + 0. Factor b(r).\nAnswer: 3*(r - 2)**2*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 172\/8 - (-2)\/4. Suppose -u = -0*o - 2*o. What is the remainder when 125\/4 - 1\/4 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-9 - 4) - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 9, 0, 5, -469 in decreasing order.\nAnswer: 9, 5, 4, 2, 0, -469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -16) + 7 - (2 - (-2 - 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 15*c - 9. Give l(-13).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37148 - 19315. Calculate the remainder when k is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4686489497 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30e - -e3?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146659943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 1:54 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6431981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfqjnjnnqjqjnnjj. What is prob of sequence jq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*y - 33*y + 948836. Is y a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*i + 1 - 4 + 3 to c + q*i and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120165 by -5.\nAnswer: -24033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f + 28*f = -60. What is the greatest common divisor of 30 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9573 + 5.\nAnswer: 6.9573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**6\/6 + 25*q**4\/12 - 12*q + 16. Let w(t) be the first derivative of h(t). What is the third derivative of w(o) wrt o?\nAnswer: 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22 - -33)*401*1. Is t less than 4409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000087051561 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5828 = 5*t - 3*j, -2*t = -2*j - 2334. Suppose t = 10*v + v. List the prime factors of v.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 2:40 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 877.3529 meters?\nAnswer: 87735.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 4 (b) -4 (c) 2 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - 1*sqrt(726))\/(sqrt(18)*-3).\nAnswer: 10*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1875470304?\nAnswer: 2, 3, 19536149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/5 + 14*a**3\/5 + 13*a**2 + 20*a = 0. Calculate a.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 2\/9*q**3 - 8\/3*q**2 + 14\/3*q - 18. Let a(x) = 0. What is x?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 + 13 + -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkfflakffffakfffaf. What is prob of picking 1 l and 1 k?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55784459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76181 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 5, -4, -886811?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 106612.\nAnswer: 533060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357963565.\nAnswer: 5, 71592713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*t + 2*c, -4*c - c = t. Let y = t + -10. Solve 2 = -d - y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -30*i**2 - 3*i + 1. Determine o(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (21 + 4) - (-1 - -2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011048 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26608.491 minutes in weeks?\nAnswer: 2.63973125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/7)*j)\/j)\/j**(-23)*(j\/(j\/(j**(-19)*j))*j)\/(j\/(j\/(j\/(j\/(j**(2\/25)\/j))))) assuming j is positive.\nAnswer: j**(1436\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9022.\nAnswer: 2, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvvuvuvuuu. What is prob of sequence vuuv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20120 (base 3) in base 11?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896929?\nAnswer: 11, 67, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 - 1 = -q, -q = -5*h + 1. Suppose -4*r = -2*n - 18, -5*r = -q*r + n + 3. Solve 3*p = -0*p + 4*t + r, 0 = 4*p - 4*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4\/5 - 56*d**3\/5 - 96*d**2 - 1152*d\/5 = 0.\nAnswer: -12, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 b, and 1 f when three letters picked without replacement from {f: 8, u: 1, t: 2, b: 2, p: 2}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505*l = 26*l + 160465. What is the remainder when 864 is divided by l?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/((z*z**(-1\/9)*z)\/z))))**(-3\/8))**(-1\/42) assuming z is positive.\nAnswer: z**(1\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 44*c = 19*c + 671 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 10. Let l be o(-10). Suppose 3 = -a - 5*s, 4*a + l*s = 5*s + 13. Suppose -v = -2*h + 163, 0 = -v + a*v - 3. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44371481 is divided by 2967?\nAnswer: 2963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 less than 155265.8?\nAnswer: 155184.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 - (0 - (2 - 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*-2*sqrt(48).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2714 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4474*l + 5553. Let p(g) = 13421*g + 16666. Let j(f) = 2*p(f) - 7*r(f). What is the derivative of j(x) wrt x?\nAnswer: -4476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37002 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39123 divided by 161.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -615, -607, -591, -567, -535?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 952.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17693 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1502879 rounded to three dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10946 is divided by 342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*c - 20 = -240 - 8 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32060 + -32065. What is the nearest to 66 in a, 8\/7, -3?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 8*y**2 - 20*y + 13. Determine u(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23 or -4\/21?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 20 = -r. Let h = r - 4. Suppose -o + h = v, 4*o - 30 = -o - v. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-76)\/10*(0 + -5). Suppose 4*a + 22 = -r. List the prime factors of (36\/(-20))\/(3\/a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -22. Let u(d) = 2 - 2 - 4 + 9*d - d**2. Calculate the remainder when u(5) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -43, -118, -209, -310, -415, -518?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000031702833 rounded to seven dps?\nAnswer: -0.0000317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 801069 or 801068?\nAnswer: 801068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 5*t - 114. Let v = 80 - t. Suppose 3*f - 171 = -v. What are the prime factors of f?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w**2 - 17*w - 1 = 0 for w.\nAnswer: -1, -1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20405 and 47327.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 12002?\nAnswer: 11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 14\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 47. Let p(a) = a**3 + 7*a**2 - a - 6. Let y be p(o). Solve -r = 3 + y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13610323087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 705*f + 939783. What is r(-1333)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2402, -2404, -2406, -2408?\nAnswer: -2410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-41)\/((-6724)\/4510)*6\/(-3)*1\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74828*l**4*p**2 + 42*l**4 - l**2*p**2 - 1637*l**2*p - 19*l*p**2 + p - 2 wrt l?\nAnswer: 1795872*l*p**2 + 1008*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/1296)\/(1\/15 - 0)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 30*q + 15. Let x(k) = 331161*k**2. Calculate h(x(l)).\nAnswer: 9934830*l**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 3*k**2 - 3*k + 2. Let v = 149 - 153. Determine x(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 83126086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v**3 + v**3 + 0*v**3)*(-v - v - 2*v) + (60*v**4 - 1095*v**3 + 1095*v**3)*(-4 + 2 + 1) to t + n*v**3 + j*v**2 + x*v + u*v**4 and give u.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*a**3 + 1 - 1.\nAnswer: 334*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 3\/163 (c) 1\/12 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2. Let n(k) = -18*k**2 + 10*k**2 - 50*k**2. Determine r(n(v)).\nAnswer: 3364*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - ((-5)\/(-15)*15 - 8). Solve -2*c = w - i, 2*c - w + 2 = -3*w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19836 + 5?\nAnswer: 1983b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2803 - 2803. Sort 3, 0.11, k, 1\/5 in descending order.\nAnswer: 3, 1\/5, 0.11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1134, 0 in increasing order.\nAnswer: -12, 0, 1134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x - 15. Let n(w) = -5*w + 8. Let t(z) = 4*j(z) + 9*n(z). Let g be t(-6). Suppose -k + 14 = -g. Calculate the remainder when k is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122 + 172. Suppose 3*l - 20 = 2*l. What is the greatest common factor of u and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 5:24 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 24 + 4 = 0. Let a = 4\/2849 - 245242\/162393. Let f = a + -3\/19. Sort f, v, 4\/7 in decreasing order.\nAnswer: 4\/7, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k*k*k**(-6)*k*k*k*k\/(k\/k**3)*(k**(-1))**(2\/5) assuming k is positive.\nAnswer: k**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4\/7 + 1308*r**3\/7 + 17760*r**2 + 2716096*r\/7.\nAnswer: 4*r*(r + 31)*(r + 148)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 40*n - 12. Let y be l(3). Let f = 105 - y. Let z be -37920*(f*1250)\/3. Round z to the nearest 1000000.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47791 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-88 - -60)) + 12.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4 + -1.8. Let f = -1340 + 1346. Which is the nearest to f? (a) n (b) 0.1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 13)*(-10422)\/4053\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57 - 274902?\nAnswer: -274959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/(26\/65)*10\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0)*((-6634)\/535 + (-24)\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*h**2\/2 - 40*h\/3.\nAnswer: 5*h*(33*h - 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3113955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*c + 6, -2*c + 13 - 29 = -3*f. Suppose -1427 = -3*q - f*u, 13*q - 9*q + 2*u - 1906 = 0. Calculate the remainder when q is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 210 = -1078. Let z be r + 13 + (-8)\/4. What is the third biggest value in 1\/4, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 29*x**3 - 14. Let k(u) = 58*u**3 - 28. Let c(i) = 13*f(i) - 6*k(i). What is the first derivative of c(g) wrt g?\nAnswer: 87*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 157, 167, 179?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q + 3. Let d(m) = 1. Let s be 3*(-4 - 156\/(-36)). Give s*a(v) - 5*d(v).\nAnswer: 9*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1897078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(5\/3)\/(n*(n**15*n*n)\/n*n*n)*(n\/(n\/((n*n\/(n*n*n**(2\/3)))\/n)))\/n*n**(-12\/11)*n assuming n is positive.\nAnswer: n**(-221\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -272*i + 5. Let x(v) = -3*v**2 + 16*v - 4. Let z(n) = -7*n**2 + 40*n - 10. Let y(g) = -5*x(g) + 2*z(g). Determine y(k(m)).\nAnswer: 73984*m**2 - 2720*m + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-3)*n*n*((n\/(n*n**(-8)\/n))\/n)\/n*n*n**(-3)\/(n**(-5\/3)\/n) assuming n is positive.\nAnswer: n**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3252\/7 + 402\/938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**4 + h**2 + h**3 - 3*h**2 + 3 + 4*h**2 to y*h + k + s*h**2 + n*h**4 + i*h**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y**2 + 2. Let u(q) = 6*q - 2. Give u(l(g)).\nAnswer: -48*g**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/7 - (-1)\/(-7). Suppose 0 = -k*c - 4*c + 308. Let r be -1 + 0 - (-110)\/c. What is the third smallest value in r, 1\/5, 0.02?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -27422*m + 1371105. Determine j(50).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365498 is divided by 9393?\nAnswer: 8564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-5)\/(150\/(-24336)) + (-40)\/(-50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*r + 8 = 0, -3*z + r + 16 = 8. Which is the closest to -7? (a) -0.6 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5320, 5987, 6668, 7369, 8096, 8855?\n\"Answer: z**3 + z**2 + 657*z + 4661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 481 = -43*k + 2164 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Suppose 5*s = 4 + 16. Let v(d) be the third derivative of 1\/24*d**s - 2*d**2 + 0*d**3 + 0 + 0*d. Calculate v(x(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 23087*z**2 + 79*z - 8. Let c be y(24). Round c to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 1. Let t be g*3\/1 - 1. Suppose 0*m - 5*m + 10 = 0. What is the greatest common divisor of m and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -4. Suppose a*f - r - 9 = f, -3*r + 12 = f. Let k be (-2)\/(-5) + 18\/5. Solve -u - 2 = -f*j, j + k*u = u + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590 (base 11) in base 3?\nAnswer: 11121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.22 + 0.22. Let k = -26 - y. Which is the nearest to k? (a) -0.3 (b) -2 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 480*a - 28332. Give o(-49).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1574, -3144, -4714, -6284?\n\"Answer: -1570*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b + 1624 = 0. Let k = 600 + b. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 11) to base 12.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2030?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 9*h + 9*h)*(5 - 5 - h) + (-h**2 + 0*h**2 - h**2)*(2 - 1 - 3) + 8*h**2 - 21*h**2 - 11*h**2 to o + m*h**2 + z*h and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 66?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/33478835 and -23\/39280.\nAnswer: 535661360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s - 4. Calculate a(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22356329?\nAnswer: 131, 157, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -2, 0.03, -0.2, -3\/14, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158202597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h*h**(-12))\/h)\/h)*h)\/h**11)\/(h**5)**28 assuming h is positive.\nAnswer: h**(-136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5*b + 17282. Let t = 172763\/20 + b. Calculate the common denominator of t and -53\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6452\/3 + 2156. Factor -10\/3*y**3 - 2\/3*y**4 - 8\/3*y - h*y**2 + 0.\nAnswer: -2*y*(y + 1)*(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a minute in milliseconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 48 = -4*v. Let o(w) = -w**2 + 24*w + 31. Let y be o(25). Suppose -v*l = -y*l - 1920. What is the highest common factor of l and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2259815925 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227463 is divided by 146?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595746 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 0*g + 21\/2*g**2 + 427. Let x(a) = -a. Let y(k) = 2*k. Let j(q) = 11*x(q) + 6*y(q). What is b(j(o))?\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 26*a - 133. Suppose 40*j + 1100 = 260*j. Calculate x(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r**3 + 7*r - 5. Let p(q) = -25*q**3 - q**2 - 12*q + 9. Give -5*m(g) - 3*p(g).\nAnswer: 15*g**3 + 3*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**2 - 2*a + 24. List the prime factors of v(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -229617 or 7?\nAnswer: -229617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.09 - -3.31. Let j = d - 0.4. What is the biggest value in -0.1, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 12:19 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - a + 7 = 3, 5*d - 26 = 4*a. Let y(l) = 2*l**3 + 3*l - 2. Does 10 divide y(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3540482 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i + 2*i**2 + 3*i)*(2*i - i - 2*i + (2 - 2 - 3)*(2*i - 2*i - 2*i))*(-1 - 1 + 1) to the form m*i**2 + z*i**3 + t + x*i and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4*z - 3 - 9 = 0, -2*z + 58 = -3*n for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 219 + -145. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 930097828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 65*t - 56. Let z be w(-6). Let o = z - -456. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256\/120*(-57)\/152*10\/(-15)*3?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2 + x**4 - 20*x - 3*x**3 + x**5 - 2*x**4 + 22*x = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**3 - 2*z**2 + 6 - 3 - z + 4*z. Suppose -28 = -4*w + 4*n, -2*w = 2*w + 2*n - 46. Calculate the remainder when j(-2) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 153302.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**5\/12 + 5*m**4\/6 + 25*m**3\/6 + 15*m**2 - 4. Determine v so that r(v) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*s + 2, b - 149 = 5*s. What is the least common multiple of b and 2538?\nAnswer: 20304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 210344638 to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -246\/101 or 5?\nAnswer: -246\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6516 + -1600?\nAnswer: 4616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16 + -17 - (2 + 2). Let d(u) = u**2 + 8*u + 51. What is the remainder when 208 is divided by d(j)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10107 - -203.61\nAnswer: 10310.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/109890 and -133\/2146320.\nAnswer: 238241520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -j - 4793, -4*c - 10689 - 13297 = 5*j. What is the tens digit of 35\/(-21) - j\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - f**2 + 13*f + 1. Let v(m) = m**3 + m**2 - 20*m - 2. Let y(w) = -8*p(w) - 5*v(w). Let u be (-2)\/(-4) - (-3)\/2. Is y(u) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + (1 + sqrt(2) - sqrt(2)))*1)**2*-5.\nAnswer: -15 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**5\/150 + 29*k**4\/15 - 841*k**3\/5 - 285*k. Let q(n) = 0. What is n?\nAnswer: 0, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000101011010100000111 (base 2) in base 8?\nAnswer: 10532407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32101343 - 4?\nAnswer: -32101402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*y + 2244 = 0, 3*r - 5*r - 5*y = -879. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -1\/2, 1\/21, -0.1, -1\/3, -1592\/15?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1293*z + 3871*z - 1287*z - 4912*z**2 - 1291*z.\nAnswer: -4912*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgf when three letters picked without replacement from {g: 4, p: 1, t: 4, k: 7, f: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 26*y + 56. Let h be d(28). Let i be h\/(7\/(-4) - (-6)\/(-24)). Let n = 1 + 2. Which is the closest to 0.3? (a) i (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1.2, -14, -6, 2\/5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7654498?\nAnswer: 2, 3827249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 734 divided by -4.\nAnswer: -367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -4*b + 4, -11*q + 3 = 2*b - 14*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3481 or 3501?\nAnswer: 3501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.57\nAnswer: 0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2365040.\nAnswer: 2, 5, 17, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 53?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.12264 - -0.07736. What is the third smallest value in k, 2\/9, 0.04, -1\/3, 2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 208403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m + 5*m + 12*m**3 - 14*m**3 + 4*m - 14 to o*m + n + i*m**2 + b*m**3 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 58 - 1 - 69 - 20.\nAnswer: g - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q - 5. Calculate j(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x - 4*x - 34 + 15 - 2*x**2 + 14. Let d be v(-4). Let n be 1 - 5 - (d + 5). Solve -s - s = n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3\/7)*z**(-1\/3))**(-3\/7))**(5\/4))**(4\/5) assuming z is positive.\nAnswer: z**(16\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 - 94. What is the closest to f in -1, -3, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4294, 8612, 12930, 17248, 21566, 25884?\n\"Answer: 4318*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.91 (b) 1\/4 (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1775 - -2075. Calculate the highest common divisor of j and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -1 - (-4 + -20 + 25).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*h + 21*h + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 8:52 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**3 - 3*p**2 + 5*p - 3. Let s(k) = -13*k**3 - 13*k**2 + 21*k - 12. Let j(i) = -9*r(i) + 2*s(i). What are the prime factors of j(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13, 2, -1, 4, -3, 0 in descending order.\nAnswer: 13, 4, 2, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*4*(sqrt(72) - sqrt(72)*1 - sqrt(72))**2*2*1.\nAnswer: -6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*c - 10, -4*r = -2*r. Factor -c*n**2 + n**2 - 4*n - 2*n**2 - 2*n.\nAnswer: -3*n*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 0*z - 35\/3*z**3 + 89\/2*z**2 - 137. Find the second derivative of p(c) wrt c.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 6*i**2 - 7*i - 2. Let c be q(7). Let l be c\/(-1)*10\/(-5). Let t(g) = -5*g + 1. Let f be t(1). Does f = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1111*f = -1076*f - 10745. What is the remainder when f is divided by 60?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013957 to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, 5, -3, 168?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1103.9 + -1104. Let m be 130\/16*8\/(-20). Let v = -3 - m. Which is the nearest to w? (a) -3 (b) 0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 8. Let p(b) = -1. Let j(i) = -6*p(i) + t(i). Let x be j(-2). Suppose -3*s - 4*c = -5*c - 4, -x*s + 16 = 2*c. Solve -s*q - 4 = 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009137 rounded to 4 decimal places?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*t = 12, 3*l + t + 9 = -2*l. What is the remainder when 11 is divided by 1*(4 + l + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (103 - 14 - 3*u + 113)*(u + 3 - 3) as c*u + f + q*u**2 and give c.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26492565 a multiple of 523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*12)\/(2\/(-25)). Suppose -3*i = 2*i - s. Suppose i = l + l. What is the remainder when 58 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 18 + 3470*u**3.\nAnswer: 3470*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46.5 + -47. Let v = -6 + 4. Which is the nearest to v? (a) m (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140 - -3333. List the prime factors of p.\nAnswer: 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -4*b + 5. Let q(o) = -7*o + 43. Let u be q(7). Sort 0, u, b, 4 in decreasing order.\nAnswer: 4, 0, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 7*o**2 - 7*o - 3. Let a(j) = -3*j + 30. Let s be a(12). Let b be g(s). Put 0.2, b, 0 in ascending order.\nAnswer: 0, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0)*(-6)\/(-2). Let q(o) be the first derivative of -1 + 13*o**2 + 0 - 14*o**2 - 3 - 3*o. Calculate q(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 134, 471, 1130, 2219, 3846?\nAnswer: 6119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*(5 + (0 + sqrt(720))**2).\nAnswer: -2900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 + w**2 - 38*w + 22. Let o be u(0). Calculate the highest common factor of 7194 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699167?\nAnswer: 7, 99881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 5*y**2 - 7*y + 11. Let i be n(6). Solve 25 = -5*b, o + i*b + 40 = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 283098122 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2070 - -4575. What are the prime factors of g?\nAnswer: 3, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -850*j + 1 - 1331*j - 60*j.\nAnswer: -2241*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 27 = -5*b - 17, -5*u - b + 26 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.12 - -1.88. What is the third biggest value in -0.2, 4, -12, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 407 + 76?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idrdhiirdkvhkd. Give prob of sequence hvk.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**7\/2520 - a**6\/180 - a**5\/24 + 5*a**4\/6 - 20*a**2. Let u(z) be the second derivative of b(z). What is u(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*c = -3*n - 45, 4*c + 2*n = -34. Let v be 2\/(-6) + (-14)\/c. Suppose 11 = v*l + 1. Solve 0*o + l*o = 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 248 and 3193.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3202 + -1908. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -299594 + 463497. Let c = -163903.1059216 + r. Let u = -0.106 - c. What is u rounded to 6 decimal places?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -849*z - 922*z + 1775*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2537 + 6037. Let i = 421 - 417. Let -3500 - i*h**2 + b - 16*h = 0. Calculate h.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2. Let d be (-1 - (-1 + 0))\/(6 - 4). Let y(g) be the second derivative of 1\/3*g**3 + d*g**2 + 0 + g. Give p(y(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123102 + 3?\nAnswer: -123033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-7))**(-3\/10)*(b*b**(-6)*b)**(-26) assuming b is positive.\nAnswer: b**(529\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-6)*q)**(-5\/8)*q\/q**(-15\/4)*q**(-1\/15)*q assuming q is positive.\nAnswer: q**(7\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (387\/6)\/((-576)\/384)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 87470.81 milliseconds in nanoseconds?\nAnswer: 87470810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -4*m**2 - 56 + 2*m - 10\/3*m**3. Suppose b(g) = 0. Calculate g.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 271548772 divided by 148\nAnswer: 1834789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (0 + (-112)\/(-21)))\/(5\/255)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -5, -7 in ascending order.\nAnswer: -46, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 5:00 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141 (base 15) to base 5.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 12. What is the remainder when 51 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, 2\/13, 4\/3, 43.8, 0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14 - (-26)\/7. Suppose -5*a + 31 = -h, 2*a - a - 2 = -j*h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 21 = -15. Let t = 5 - 3. Let i be u\/t*4\/(-6). Sort -5, -1, i in descending order.\nAnswer: i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**4 + 8*j**3 - 1020806*j**2 - 124*j - 32533 wrt j?\nAnswer: -24*j**2 + 48*j - 2041612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9346149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1463 - -1.1363. Let a = -1 + 1.2. Which is smaller: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100 (base 2) in base 16?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 7*l**3 - 3*l**3)*(2 + 3*l - l + 0*l) - 5*l**4 - 2*l**4 + 4*l**4.\nAnswer: -17*l**4 - 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 302520, 605035, 907550?\nAnswer: 1210065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 669639 to the power of 1\/2, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-5)*(-325)\/(-39). Solve -25 = 5*j - y*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7349028*r**3 - 5207208 wrt r?\nAnswer: 22047084*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-11) + 6\/33. Suppose -v*u = -5 - 17. Let f = u - 8. Solve f - 6 = -3*o, -4*o = -5*a - 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-13\/4))\/(n**28\/n))\/(n*n\/n**(-40))**(-47) assuming n is positive.\nAnswer: n**(7805\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 82*l**2 - 251*l - 299. Let w be o(-79). Calculate the greatest common divisor of 24 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 10. Suppose 3*l = -a*j + 14, -2*l = 3*l - 2*j - 2. Let g be 2 - -4 - (-1 - -2). Solve -o - 5 = l*b, 2*b + 4 = -g*o - b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 0 + 15 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 257965884 divided by 12\nAnswer: 21497157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 50. Let w be (-2 - (-35 + -2)) + 89 + -96. Give z(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-24))\/(2\/(-4)*2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {v: 15, c: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (486816\/50710)\/((12\/10)\/3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (28077\/441 + -62)*3\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -16 - ((-27)\/6 + 4)*-8. Let q be g - -22 - (2\/1)\/(-2). Suppose z + q*z - 2*x = 42, -2*z = -4*x - 36. Solve -8 = -4*k + z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183512 is divided by 16680?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 5, 11, -91, 3503 in descending order.\nAnswer: 3503, 11, 5, 4, -2, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 89 - 217. Let r be s\/(-21) + -3 + -2. Let g = -70 + 68. What is the second smallest value in -0.5, r, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(-u + 7 + 157*u**2 + 0*u - 163*u**2) + (3*u - 4*u + 5*u)*(-2*u - 5*u + 2*u) to i*u**2 + o*u + w and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 5*w + 3*f + 882 = 0, 3*f - 534 = -3*w. What is the lowest common multiple of w and 24?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 134 = -23*c. Let j(m) = -m**3 - 5*m**2 - 3*m - 3. Let y be j(-5). Let l = y + c. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153) + -3*sqrt(153)*-1 + 5 + -2*sqrt(153))**2 + 4.\nAnswer: 90*sqrt(17) + 1406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 85416973670 and -171.3.\nAnswer: 85416973498.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**5\/80 - g**4\/16 - g**3\/8 + 3*g**2. Factor t(m).\nAnswer: -3*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.046 and -54484.9.\nAnswer: 2506.3054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 80 = -6*m. Suppose 6*d - m = -2*d. Suppose -3*v = d*j - 119, -2*j = -5*j - v + 168. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/55271550 and -187\/300.\nAnswer: 110543100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8025 + -0.583. What is q rounded to 2 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-1 + -5)*1. Let n be (1 - 3279\/c)\/(-3). Let a = n - 169. What is the common denominator of -43\/7 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 7*h**2 + 5*h + 2. Suppose 13 = -5*n - 7. Let r be ((-6)\/n)\/((-9)\/24). Let w be v(r). What is the greatest common divisor of w and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -418693 or -418696?\nAnswer: -418696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12262 minus 0.2?\nAnswer: 12261.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 280\/25 + 8\/10. Calculate the common denominator of -51\/11 and ((-58)\/24)\/(a\/(-108)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + 28ba0a8?\nAnswer: 28ba094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -1539*p**5 + 426213*p**4\/2 - 7427254*p**3 + 6924637*p**2\/2 - 447810*p + 9522 = 0?\nAnswer: 1\/38, 2\/9, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -20754*d**3 - 17295*d**2 + 51885*d + 51885. Let y(t) = -t**3 - t**2 + 3*t + 3. Calculate -2*r(n) + 34590*y(n).\nAnswer: 6918*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 252791?\nAnswer: -252790.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 61*o**2 + 102*o + 1511. Let b be q(63). Let z = -1435 - -35869\/25. Which is bigger: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178104 a multiple of 492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1445, -1310, -957, -278, 835?\n\"Answer: 18*s**3 + s**2 + 6*s - 1470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 79 times -625\nAnswer: -49375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*i, -3*q = -11 - 1. Let y be 1\/((-3)\/(-218))*i. Suppose h + 331 = 2*d, 88 = 2*d + 4*h - y. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -119. Let o = n + 51. Which is bigger: o or -18?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 3. What is the lowest common multiple of 8 and j?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19463963173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.400371 grams in milligrams?\nAnswer: 4400.371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 19 = 2*t. Suppose -12*l = -7*l - 200. What is the remainder when l is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1, 1.2258, 6\/7, 3, -0.4, -174?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 916.2843 meters to millimeters.\nAnswer: 916284.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-46799988)\/(-78) - 5\/(130\/(-4)). Round i to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/40 and -13\/35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 55*i**2 + 99*i + 456. Let t be o(53). Solve -45*c + 28*c = t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*y = p - 1043408, 1739012 = -5*p + 3*y. Round p to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3.8. Let v = 65\/177 - 2\/59. Which is smaller: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 + -86. Let d(l) = -l**2 - 10*l - 1. Let c be d(s). Which is smaller: c or -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 862*m - 11. What is the hundreds digit of w(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/12*3 + 0. Suppose 0*a + 1770 = h*a + 4*r, 2*r = 3*a - 2695. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 - 64*r + 64*r.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000134471 to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 1. Let f(k) = k**3 + 2*k**2 + 3*k + 4. Let p be f(-2). Determine m(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-1)\/(-16)*-74*-8.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 4*d + 58 = -28*s, 0 = 3*s - 5*d + 1 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 4*s - 19. Let l be z(-6). Let f = -12 - l. Let o be f\/6 + (-8)\/48. Solve -o*h + 4*j = -0*h + 15, 0 = j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**3\/3 - 151*p**2\/2 - 975. Let i(z) = 0. Calculate z.\nAnswer: 0, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -21. Sort -2\/53, 0, -0.5, k in descending order.\nAnswer: k, 0, -2\/53, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -2*w + 13, -11 = 4*s + 4*w + 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s - 60. Let l(h) = -15*h - 179. Determine -4*l(v) + 11*m(v).\nAnswer: 5*v + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -350. Let b = u + -97. List the prime factors of b.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 - 5*u**2 - 3*u + 7. Let h(b) = -3*b**3 + 9*b**2 + 5*b - 13. Let s(m) = -4*h(m) - 7*t(m). Calculate the remainder when 11 is divided by s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = -u. What is the units digit of (-2 + 5)*u - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 46. Suppose 2*h = 2*c - v*h - 73, 5*c - 5*h = 190. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 10 = 0, 4*o - 7*f - 17 = 2*o - 10*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/3 - 254*z\/3 - 16129\/3 = 0.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -541121*n**4 + 263*n**2 + 286*n.\nAnswer: -12986904*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/24)\/(-25 + 5285\/210). Let j(g) = 20 + 5*g - 4*g - 4. Calculate j(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 0. Let r = 2.85 + u. Let o = 0.09 + r. Which is smaller: o or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/164 and -40\/3.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 20*g = 18. What is the greatest common divisor of 243 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2\/2 + 625*c - 35805\/2 = 0. What is c?\nAnswer: 33, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 840281, 840355, 840477, 840647?\n\"Answer: 24*k**2 + 2*k + 840255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*u - 22*u**4 - 7*u + 23*u**4 + 4*u**3 - 4*u**3 + 2*u**4 + (3*u**4 - 8*u**4 - 4*u**4)*(-3 + 0 + 5).\nAnswer: -15*u**4 - 15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/135*(-174)\/319.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 7:57 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0 = 1. Is (-72)\/(t + -2) - 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -107*a**2*g*v - 101*a**2*v + 802*a**2 + 4622*a*g*v - 126*v wrt g?\nAnswer: -107*a**2*v + 4622*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 7:07 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 310764 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 33*x**2 + 192*x - 182. Let j be q(-25). Which is smaller: 190\/11 or j?\nAnswer: 190\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 6*g**2 + 7*g + 10. Let j be k(-7). Suppose -4*f + j = f. Suppose f*h = 3*n + h - 179, -n - 4*h + 38 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(48)\/sqrt(4)*-1)\/((2*sqrt(864) - sqrt(864)) + sqrt(864))*3)**2*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 + -39. Let g = 25 + j. Suppose -5*q + 3*l + g = 7*l, 0 = -5*q + 5*l + 50. Solve 3*d - q = 2*k, 5 = 5*d - 5*k - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 133, -26 in descending order.\nAnswer: 133, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-18) + 0 - 0. Let u be 2\/7 - (-1686)\/2772. Let o = u + -8\/11. What is the closest to -1 in o, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377 = -20*b - 297 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 10475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4638*g**2*m**3 + 2*g**2*m**2 + 2230081*g**2*m + 6*g*m**3 + g*m**2 - 29*m**3 wrt m?\nAnswer: -27828*g**2 + 36*g - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11158?\nAnswer: 2, 7, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.154863 + 354.472137. Let x = s + 0.373. Let a = 354.843 - x. What is a rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -g + 1101, 88*h - 3328 = -3*g + 84*h. What is the smallest common multiple of 372 and g?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15745 - 15745 - 544*z**3.\nAnswer: -544*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*d - 4 = -90*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 628859895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 12. Let x = 735.6 - 735. Which is the biggest value? (a) h (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -59*h**2 + 17*h + 3. Let a(k) = -20*k**2 + 6*k + 1. Let p(x) = 17*a(x) - 6*o(x). Find the first derivative of p(d) wrt d.\nAnswer: 28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2082\nAnswer: -1\/694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175.9 + 176.9. Which is the nearest to -1? (a) t (b) -2 (c) -11 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133309?\nAnswer: 11, 12119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104784 and 680208.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**5 - 17*w**3 + 1513*w**2 - 269*w - 62854 wrt w?\nAnswer: -20*w**3 - 102*w + 3026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*v - 71*v**2 - 46 + 27 + v + 21 + 8*v as x + m*v + d*v**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a + 35 = 0. Let o = a - 4. Suppose -o*j + 5*c = -62, -15 = -2*j - c + 9. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -1\/2, 8 in descending order.\nAnswer: 8, -1\/2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 0, 3*p - 34 - 254 = -4*r. Suppose -499*u + 503*u = p. What is the lowest common multiple of u and 54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -755, -1523, -2291, -3059, -3827?\n\"Answer: -768*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298868 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6336777l in millilitres?\nAnswer: 633.6777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380783 = 3*m - 16*m. What is m rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + 0.76. Let q = f + -4.86. Let b = -0.2 + q. Sort b, 2\/5, -4 in increasing order.\nAnswer: b, -4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -195277, -195263, -195249, -195235, -195221, -195207?\n\"Answer: 14*u - 195291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76 + -3 + (-9 - -3) - (14 + -27 + 3)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 10*x**2 - 12*x - 13. Calculate j(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6826\/132679 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66.2288 + 0.0712. Let m = y - 64. Let z = m + -2.3. Which is the closest to 0.2? (a) 0.3 (b) z (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 338? (a) -0.3 (b) 1 (c) -1\/3 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.005 * 273404.\nAnswer: 1367.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 5. Let v(i) be the third derivative of -3*i**5\/20 - 4*i**3 - 14*i**2. Let n be ((-48)\/30)\/((-1)\/(-15)). What is n*f(h) + 5*v(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 + -322797942\nAnswer: -322797942.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a hour in seconds?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -131*m**3*n**2 + 28*m**3*n + 16110*m**3 + 2*m wrt n.\nAnswer: -262*m**3*n + 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s**3 - 42*s**2 + 607*s + 3. Let w(k) = 13*k**3 - 98*k**2 + 1216*k + 7. Calculate 7*n(d) - 3*w(d).\nAnswer: 3*d**3 + 601*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 17*h**2 - 15*h - 16. Suppose 80 = -25*j + 30*j. Let b be l(j). Suppose b*u = -16*u + 272. Calculate the remainder when u is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/18)\/(25\/60). Let c(s) be the second derivative of -u*s**3 + 5\/4*s**4 - 3\/20*s**5 + 2*s + 0 + 6*s**2. Factor c(v).\nAnswer: -3*(v - 2)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408.7 rounded to the nearest 10?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 0.2, -1\/41, -3\/5, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.73391 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j + 3*j - 2*j + (-5 + 3 - 1)*(-113 - 95*j + 113) as c*j + d and give c.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-34)*(-2064)\/688?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 386.\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/18 + (-580)\/120)*132\/10?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 1\/90*h**5 + 0*h**3 + h**2 + 0*h + 0 - 1\/36*h**4. Factor l(y).\nAnswer: 2*y*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6653 - 3032 = -13*z. What are the prime factors of z?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3491 times 4?\nAnswer: 13964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 5. Let h = j + -6. Let t = 15 - h. Calculate the remainder when t is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from uuuuhuhkhkhuh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1984)\/(-34782) - (-2 + 192\/99).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r + 0*r + 5*r. Let x(t) = 6*t**2. What is x(l(y))?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82886523 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -74 (base 8) to base 4\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + f**2 + 2*f - 1. Let n(r) = -80*r**3 - 13*r**2 + 12*r - 6. Let v(q) = -n(q) + 6*s(q). Find the third derivative of v(h) wrt h.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-1))\/(5 - 4). Let z be (-48)\/(-112) - 237\/63. Is t < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 10) + (-5 - -3). Let w = c - -26. Let h = 16 - w. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -3, 1, 17 in ascending order.\nAnswer: -25, -3, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1094 and 8.\nAnswer: 4376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/195)\/(-8))\/((-2)\/10).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 16*n**4 - 11*n**3 - 11*n + 31. Let d(b) = 5*b**4 - 4*b**3 - 4*b + 10. Let h(a) = 11*d(a) - 4*y(a). Differentiate h(z) wrt z.\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (286\/(-33) + 9)\/((-10)\/(-3030)) - 3. Let z = -0.36 - 0.04. Which is the second smallest value? (a) z (b) -3 (c) q (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 - 2*t - 1. Let z be f(-2). Let y = z - -40. What is the highest common factor of 31 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -364*h - 46. Let r be m(16). Is (((-5)\/(-2))\/(-5))\/(5\/r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6978631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 4*f**2 + 4*f - 6. Let a be n(3). Let q(x) = -x**2 - 5*x. Calculate q(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 8 + 3 - 4.\nAnswer: -p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 17*r**2 + 83*r + 450. Determine b(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*d + 0 = 3, 3 = 3*p - 3*d. Let i be ((-6)\/6870*-5)\/(7 + -6). Which is bigger: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7167 + 7173. Let r(m) = 3 - 4*m - 2*m**3 - 1 + 13*m**2 - m. Calculate the lowest common multiple of r(z) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*d + 174. Let z = d + -14. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((627\/33)\/19)\/(((-90)\/300)\/((-6)\/(-2)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*k + 7, 3*k + 7 + 2 = 5*l. Suppose l*z = 99 + 39. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-6)\/4*47\/282\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 201929.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -22*o + 19*o. Calculate the greatest common divisor of 456 and o.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 534.3533 years to centuries.\nAnswer: 5.343533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, f: 2, y: 3}. Give prob of sequence myy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1633954.4 times 3\nAnswer: 4901863.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (8 - 18) + -5 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/48)\/(2\/(-9)). What is the smallest value in 4, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9137 - -0.7137. Which is the second smallest value? (a) t (b) 1465 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 20*t - 30. Let h be s(8). Solve 7*l - h*l = -5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2669227 - -1640357. Let h be 49682\/2*-1*70. Let d = l - h. What is d rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -5 + 3)*-173. Let o = b + -141. Let p(f) = -60*f + 1. What is the remainder when p(-1) is divided by o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 582*a + 71519. Calculate t(-122).\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 2546035?\nAnswer: 2546032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 123*u - 2747. Calculate n(24).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m + 101. Does 9 divide g(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*(1*(sqrt(2268) + 1*sqrt(2268))*2)**2.\nAnswer: -36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15650, 15625, 15600, 15575?\n\"Answer: -25*h + 15675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/(-405) - 893\/(-27). Solve -14*x - i = -61 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 0)\/(-6) - 3\/6. Suppose 8 = j - v. Is 10 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 2*f + 5. Let m be v(-5). Suppose -9*g = -6*g - m. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 + 19)*(-41 + (71 - -9))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -6, -11 in descending order.\nAnswer: -6, -11, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-8)*(42\/(-10) - (1 + -5))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 4*y**2 + 2*y**2)*(-y**3 - 4*y + 2*y**3 + 2*y).\nAnswer: -4*y**5 + 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-18)*-13*9. Let v be (u\/(-6) - -6)*44\/6. Calculate the highest common factor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 21*c**2 - 43*c + 727. Give u(19).\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 322697 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 + 0.12988504?\nAnswer: 234.12988504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 28*a**2 + a + 71. Determine b(-28).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -166*s**2 + 20*s. Let f(x) = -38*x + 2. Determine f(k(m)).\nAnswer: 6308*m**2 - 760*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 6. Let m be (n\/(-4))\/(3\/4). Suppose 10 = -3*o + 1. Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 25*g**2 - 31*g + 40. List the prime factors of i(23).\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15340 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 42355, 84757, 127159, 169561?\n\"Answer: 42402*y - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 84811.98 years in millennia?\nAnswer: 84.81198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b - -2?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*o - 2, -755*m + 757*m + 5*o - 22 = 0. Calculate the highest common factor of 4518 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24895312 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53443\/118 + -453. Calculate the common denominator of ((-4)\/(-110))\/(-5 - (-1437)\/285) and s.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.3. Let z = -0.5 + l. Which is the smallest value? (a) 4 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323120550 (base 6) to base 8\nAnswer: -25735022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, -94, 2, 0, 1, 875 in decreasing order.\nAnswer: 875, 2, 1, 0, -2\/23, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5511, -11020, -16531, -22044, -27559?\n\"Answer: -t**2 - 5506*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -1 (c) 7 (d) -4 (e) -102 (f) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9569839 - -9569840.4299986. Let p = -1.43 + g. What is p rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -13, 0.08, 3, 2737?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*i + 45*i = -20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 1391376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -81*z - 98. Calculate the remainder when o(-5) is divided by 74.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8*t. Let c(j) = 546*j + 551*j - 1639*j + 555*j + 5. Give c(i(a)).\nAnswer: 104*a + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 186940 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**3 - 1 - z + 115*z**2 - 115*z**2 in the form q + k*z + o*z**3 + g*z**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 1 = 3*n, 2*n + 2 - 6 = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 6*g**2 + 2*g + 7. Give z(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1251*q - 2499*q - 39*q**3 + 36*q**3 + 1248*q.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 529 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1635*o**6 + 9*o**2 + 868*o + 1.\nAnswer: -196200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 494.0231ml?\nAnswer: 0.4940231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 51*i + 48*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - q = -8*o + 20, q = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 28\/10*10\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 4:43 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 17*a**2 - 1. Suppose -y + 0 = -2. Suppose -4*z + y = 4*c - 6*c, 4*z - 8 = 4*c. What is the units digit of k(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -209?\nAnswer: 5\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82063797 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 16701555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -1, -2\/7, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -5*o + 2*o. Let z be (((-3568)\/6)\/(-4))\/((-6)\/o). Let v = 1008 - z. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - -1) + -2*1. Let m be (-3)\/(133\/(-28) - 1*-4). Solve -s = -m*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145239304?\nAnswer: 2, 7, 71, 36529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*i + 450*i - 3120 = 860*i. What is the remainder when 2514 is divided by i?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*y**4 + 388*y**3 + 2*y**2 - 17528*y wrt y?\nAnswer: -60*y**2 + 2328*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 173160 and 624?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -20*u**2 + 53*u + 404. Give t(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -32, -66, -118, -194, -300, -442, -626?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 10 - 0. Suppose -p*g + 6*g - 3 = 0. Which is smaller: 4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/5*(-23 - 6643\/(-292))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12147863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*v**4 + 25243*v**3*z**3 + 12*v**2*z**2 - 5*v**2*z - 2*v*z**3 + 2*v - 384*z wrt v?\nAnswer: -192*v + 151458*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 24*i**2 - 237*i - 927. Does 81 divide m(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzdedzdzdzddzd. What is prob of picking 1 z and 1 d?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/3 + 146576*h**3\/3 + 896409124*h**2 + 134186663600*h\/3 + 1676188951250\/3 = 0. Calculate h.\nAnswer: -36619, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 5*j**8\/84 - j**4\/24 + 6*j**3 - 13*j**2 - 1. Find the second derivative of a(b) wrt b.\nAnswer: 400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -943 - -947. Which is the third smallest value? (a) w (b) 0.1 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3581*y**2 + 20*y - 2. Let c(z) = 7162*z**2 - 50*z + 5. Give -2*c(w) - 5*n(w).\nAnswer: 3581*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 12) to base 6.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -500*f**2 + f + 52. Let r(v) = -499*v**2 + v + 70. Determine 3*r(j) - 4*y(j).\nAnswer: 503*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2631 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 57320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5614b5 (base 14) to base 16\nAnswer: -2c9b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 5, x: 3, t: 1, q: 2}. Give prob of picking 1 q and 1 g.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -548 - -548. Solve v = 2*n + g + 1, -3*n = -0*n + 2*g + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2874221306 to the power of 1\/2, to the nearest integer?\nAnswer: 53612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420*t + 2*y = -422*t + 578, 875 = 3*t - y. What is the greatest common factor of t and 3104?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**3\/6 + n**2 + 11*n. Give t(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1132567*z + 6 - 6 - 2265073*z + 1132511*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1616170131 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -8)*(-1 + 0). Suppose 16 = 3*o + 7. Suppose j*n = o*n + 571. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * 135493.\nAnswer: 2438874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107.900000563 - -107.9. What is c rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from viimimvmvimi.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -909177 divided by -26?\nAnswer: 909177\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 793337 - 793331. Let r(u) = 3*u**2 - 6*u. Suppose 2*z - 5*z + 24 = 0. Let g(d) = -z*d + 10*d**2 - 2*d**2 - 9*d. Determine m*g(t) - 17*r(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 2:49 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 16. Suppose y*x - 3 = x. Suppose -x*n + 5*n = 68. Calculate the remainder when n is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from odboodbon.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*1*sqrt(104)*5)\/(((sqrt(1400) - sqrt(1400)*-2) + sqrt(1400))\/sqrt(7)).\nAnswer: -3 - sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -73\/5, 1\/3, -2\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 2*c - 5*c)*(-3*c**3 + 0*c**3 + 5*c**3) + 7*c**4 + 3*c**4 - 11*c**4.\nAnswer: -13*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 4:25 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 293, -5, -1\/7, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -17*j - 34. What is r(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from extttttyt.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 1885?\nAnswer: -1880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 307816 in decreasing order.\nAnswer: 307816, 7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/13*m**3 + 6\/13*m**2 + 4\/13*m.\nAnswer: 2*m*(m + 1)*(m + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 59. Suppose -2 = d - 3*d - 2*o, 4*d - o + 1 = 0. Let v = l - d. Solve m - v*m = -15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142 divided by 1\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363, -735, -1121, -1527, -1959, -2423?\nAnswer: -2925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 635462 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3292339 microseconds to nanoseconds.\nAnswer: 329.2339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -171, -448, -15 in ascending order.\nAnswer: -448, -171, -15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**8\/168 - 131*s**6\/24 + 2639*s**4\/12 + 1332*s**2. Find the second derivative of r(v) wrt v.\nAnswer: 40*v**3 - 3930*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 12*v = 7*v + 221, -2*k + 3*v = -507. Suppose 0 = g - 4*s - k, -23*s + 714 = 3*g - 27*s. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455357816 to the power of 1\/2, to the nearest integer?\nAnswer: 21339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4, 0 = 5*v - l + 148114 + 30688. Round v to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 23 = a + 5*v, -2*v = 2*a - 14. Suppose -a*q + 66 = 6. Suppose -26 = -2*x + 4*y + 58, 16 = 4*y. Calculate the least common multiple of x and q.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -11. What is the units digit of m\/(-1) + 5 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (-9 - 7)) + (9 - -4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 3*b - 2. Let p be v(0). Let j(f) = -f**2 + 10*f + 4. Let r be j(10). Let o be -2 + r + -2 + -2. Is o != p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4007.543 grams?\nAnswer: 4.007543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*q + 90 = q, 2*q = 8. Let r be (-32)\/s - 2\/7. Let g = -4 + 7. Which is the third smallest value? (a) g (b) 1\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944729?\nAnswer: 944729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/4152 and -37\/23636817.\nAnswer: 189094536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-36)\/4) + -3 + 2 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrbrrrrrrrrr?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/(-99))\/((-15)\/(-2))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, w: 2, u: 1, n: 2, q: 1}. What is prob of sequence nn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694495586?\nAnswer: 2, 347247793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 - 20 = 76*n + 15. Sort n, 4, 2, 23.\nAnswer: n, 2, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.4. Let u(a) = a**3 - 29*a**2 + 114*a + 143. Let l be u(24). What is the closest to l in 8, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -940 - 630 = -103*w - 65 + 349 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -25, -18, 1, 38, 99?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101101101 - 11110110101101000?\nAnswer: -11111001011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 8 = -2*z - 2*s, -6 = -z - 3*s. Suppose 0 = -0*l + z*l. Suppose 3 = 4*f - 33. Solve -p - v = 3*p - f, 5*v - 5 = l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, d: 3, o: 4, i: 1}. Give prob of sequence doos.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -883123\/18462 + 4\/3077. Suppose -4*i - 185 - 19 = 0. Let q = i - p. What is the common denominator of q and 41\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-1460)\/(-6))\/((-2)\/(-15)). What is o rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2222?\nAnswer: 1\/1111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40505)\/50*(-5050)\/(-36). Let v = 113653 + m. Let w = -259\/12 + v. Calculate the common denominator of -101\/22 and w.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-6*sqrt(98)*-2*5 + -4*sqrt(98)*2*5)**2)*4.\nAnswer: 156784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g + 170 - 268 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 1:46 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3168*f**2 + 9511*f - 6. Let t be g(3). Suppose -1509 = -5*b - 3*k, -59 = -2*b + k + 538. What is the greatest common factor of b and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16178073607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4635 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -54 - 6. Let q be (-108)\/30 + (-6)\/(-10). Let l = 6 + q. What is the highest common factor of l and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5*g - 18. Suppose -314 = g*k - 440. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -535419188*m**3 + m**2 - 178075*m - 318?\nAnswer: -3212515128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 0*m + 7\/30*m**6 + 151\/24*m**4 + 0 + 170*m**2 + 0*m**3 + 0*m**5. Find the second derivative of r(h) wrt h.\nAnswer: 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4315 a factor of 109169500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -45, -52, -49, -36, -13?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and (2\/5)\/(2\/50)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 15 (b) 0.2 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161683975.\nAnswer: 5, 137, 47207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13856, -28383, -43594, -59489?\nAnswer: -76068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) 7 (c) 2.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 22*d**2 - 5*d + 2. Let r(k) be the first derivative of 7*k**3 - 3*k**2 + 2*k - 3165. Calculate 6*a(q) - 5*r(q).\nAnswer: 27*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424770 is divided by 105144.\nAnswer: 4194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105916 - -105916.149813. Let a = -0.03 + -0.12. Let p = t + a. What is p rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3772*i - 2. Let o be c(1). Let n = o + -567. Suppose -2*b - 2*h - 1327 = 1867, 0 = 2*b - h + n. 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: Suppose -h = 5, -12*q + h = -9*q - 86. What is the lowest common multiple of q and 687?\nAnswer: 6183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000100101111 - 11?\nAnswer: 110000100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -y + 3, y - 7*w - 5 = -4*w. Let j be (-25)\/y*(-4)\/5. What is the greatest common factor of 90 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + -4 - (1 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(2)*2)\/(1*sqrt(48)\/sqrt(6)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(24)\/sqrt(3))*-4)**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.1 bigger than -4184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 20 = -10*j. Suppose 0 = 9*m - j*m + 293. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 310.\nAnswer: -1\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -8\/5, -18, 0.28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 2143?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (13 - (-4 - -9) - 10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -80*f**2 - 331*f - 35. What is q(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 1:16 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 60.05059ug?\nAnswer: 0.00006005059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -11. Suppose 0*s - x*s = -1285. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 = 23*k - 17. Find the common denominator of k\/8*14\/(-105) and -22\/257.\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 2:49 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485 is divided by 352.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (16 - (-11 + 31)) + (-7)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440151 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.5, 0, -6, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -1. Suppose u*o - 88 = -2*s, -4*s + 96 = 4*o - 0*s. Suppose -2*k - 4*k = -1320. Calculate the greatest common factor of o and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 12:30 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189323 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 252.386 + 0.614. Let f = -252.999998932 + z. What is f rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -0.1, -16, 3, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 99*w. Let t(c) = -2616898*c. Determine n(t(r)).\nAnswer: -259072902*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -33*g**2 + 220*g + 1059. Determine k(-5).\nAnswer: -866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4751783 < -4751784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (48\/28)\/((-2)\/(-7525)). Let d be -1 + (1 - (-5 - 0)). Suppose 0*n + d*n = h. What is n rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 59583810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -568045, -1135402, -1702759, -2270116, -2837473, -3404830?\nAnswer: -3972187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 3025?\nAnswer: -3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 565 + -531. What is the smallest common multiple of 40 and f?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - 34.4979?\nAnswer: -34.5579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0649, 0.2, 2, -2\/5 in descending order.\nAnswer: 2, 0.2, 0.0649, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 926189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 7*w**2 + 8*w - 6. What is b(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 24. Calculate the common denominator of 0\/(-5 + -1) + (-37)\/u and -1*1 - 372\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - ((4 - -1) + -89 + 81).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -3*i - 2 + 8, -2*q + 4 = 5*i + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -15*c**3 - 264*c**2 + 7*c + 24. Let m(f) = -10*f**3 - 177*f**2 + 5*f + 17. Give 5*h(l) - 7*m(l).\nAnswer: -5*l**3 - 81*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35434581 a multiple of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(255)\/sqrt(45))\/sqrt(3).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 10*o**3 + 7*o**2 - 4*o + 7. Let i(z) = -9*z**3 - 8*z**2 + 5*z - 9. Calculate -4*i(g) - 5*u(g).\nAnswer: -14*g**3 - 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/18 and -131\/28728.\nAnswer: 28728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*k**3 + 109*k**3 - 22*k**3 - 43*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115233, 233299, 351365, 469431, 587497, 705563?\nAnswer: 823629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/6*(-11)\/(275\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zbbzzb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**5 - 618*k**4 - 14952*k**3 - 81762*k**2 - 121125*k - 53700 = 0.\nAnswer: -179, -20, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -19*v - 20. Let u(g) = -g - 3. Let q be u(-2). What is the remainder when m(-5) is divided by ((-18)\/q + 1)*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83040955 to the nearest integer?\nAnswer: 9113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/3*(-40)\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 7. Let r be k(-4). Factor 0*d**2 + 0*d**3 + 0*d - 2\/3*d**r + 2\/3*d**4 + 0.\nAnswer: -2*d**4*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.534031 millilitres?\nAnswer: 0.009534031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + a - 432 = 0, -12*a - 252 = -c - 8*a. What is the remainder when c is divided by 83?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, e: 1, u: 3}. What is prob of picking 3 s and 1 u?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.8414 to 0 decimal places.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkxakkkkxkkkkkhkk. Give prob of sequence xkhx.\nAnswer: 13\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4375 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/7)\/k)\/k)**(1\/5))**(1\/19) assuming k is positive.\nAnswer: k**(-12\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 903 and 3680628?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 504523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1128 divided by -5603\nAnswer: 1128\/5603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n + 11. Let k be s(12). Calculate the highest common divisor of 38 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1645 and 420?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/7)\/k*k)**(-50)\/((k*k**38)\/(k*k\/k**(2\/25))) assuming k is positive.\nAnswer: k**(-11489\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 8. Let d(g) = -3*g - 25. Let j(y) = -3*d(y) + 8*o(y). Let m be j(-9). Solve -12\/5*s**4 + 0*s - 6\/5*s**m - 3*s**3 + 0 - 3\/5*s**5 = 0 for s.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**2 - 17*x - 16*x - 36 + 21*x = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*1 + -4)*3 - ((sqrt(1872) + 2)*-3)**2.\nAnswer: -16896 - 429*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k - 8. Let j be 0 + -10 + (-5 - -9). Let x(v) = -v + 1. Calculate j*x(y) - i(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-20))\/((-37)\/148).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*t - 26, -5*g - t + 6*t = -130. Suppose 0 = 5*a - 0*j - 4*j + 1058, -a = -j + 212. Calculate the remainder when g is divided by a\/(-24) + 2\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b5 (base 12) to base 3.\nAnswer: -2202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3067635?\nAnswer: 3, 5, 204509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 less than -1\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -17*f - 144. What is the remainder when 150 is divided by s(-13)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 + 0 = 6*g - 58 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138 and 18948?\nAnswer: 435804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -7\/3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 26, 56, 104, 176?\n\"Answer: n**3 + 11*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 34 - 42. What is the third derivative of 102*w**x - 18*w**5 + 20024*w + 3*w**3 - 20024*w wrt w?\nAnswer: -1080*w**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w**2\/5 - 35226*w\/5 + 11489547\/5 = 0. Calculate w.\nAnswer: 1957\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3\/3*3\/(-39))\/1\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v - 5. Suppose -17 = -8*q + 7. Let c be -11 + q - (-2)\/(-2). Let a be s(c). Calculate the highest common factor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 0, 1, -2, 4 in descending order.\nAnswer: 117, 4, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (14 + -6)) + (-4 - -12) + -44?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -51. Let g(a) be the first derivative of -a**3\/3 + 7*a**2\/2 + 4*a - 1. Is g(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*t - 26 = -63, l = -t + 9. Let p(y) = 17*y + 3. Let g be p(-3). What is the closest to l in g, 3, 0.3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34251606 (base 7) in base 2?\nAnswer: -1011011001010111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11748 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: What is prob of sequence qg when two letters picked without replacement from {q: 1, y: 1, o: 2, n: 2, g: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(70)\/sqrt(40))*-5.\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4\/3 + 68*y**3 - 5266*y**2 + 289744*y\/3 - 534040 = 0. Calculate y.\nAnswer: -158, 13, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 819?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 11*d**7\/14 - d**6\/30 + d**3\/3 + 53*d. What is the second derivative of f(g) wrt g?\nAnswer: 660*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 50 (b) 1 (c) 600 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 209.418 to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8*v**3 + 3*v + 3. Let y(z) = 15*z**3 - 9*z - 7. What is 7*r(a) + 3*y(a)?\nAnswer: -11*a**3 - 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + c**2 - 3*c**2)*(4*c - c - 4*c)*(-3*c + 3*c + c + (1 - 1 + 2*c)*(-2 - 2 + 6)).\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = 44 - 23 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 144 - 62788*q + 62801*q - 58.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 710200645?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 12 = -31. Suppose 3*s - y = 2. Let c(d) = 11*d + 4. Let h be c(6). What is the greatest common factor of h and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1509 divided by 3?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epgeeeeeepeug. What is prob of sequence ee?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a - 204. Is (-4)\/((6\/a)\/1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - z. Let u(o) = 2*o**3 + 3*o**2 + o. Let p be 6*20\/(-6) - 0. Let v be (-7)\/5 - 8\/p. Let l be (v - -2)\/2*-6. Give l*k(s) - u(s).\nAnswer: -2*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l - 6. Calculate the remainder when r(-4) is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -7*c**5\/20 - 8*c**2 - 5*c. Find the first derivative of h(l) wrt l.\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248419 is divided by 1009.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30330\/(-38755))\/(63\/(-138)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 115*d**3\/3 + d**2\/2 + 6*d - 40. Is m(-2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -20*b**2 + 243*b + 3. What is q(12)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35224*u - 152*u**3 + 35224*u)*(3 - 1 + 1)*(-9 + 9 - 8*u) to the form a + d*u + j*u**4 + f*u**2 + i*u**3 and give j.\nAnswer: 3648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -70, -143, -216, -289?\n\"Answer: -73*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42417\/11 - 3859. Find the common denominator of r and -3\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - -7. Let w = 56.2 + -35.9. Let g = k - w. Round g to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**3 - 6771*s**2 - 2568093*s - 2561325 = 0.\nAnswer: -1775, -481, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = r - 302. Let b = r + -236. Suppose 3*d - 801 = -4*l - 240, 3*d + b = 2*l. Is 34 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*s + 181*s - 87*s + 3.\nAnswer: 8*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -0.07 (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(14*m + 8916 - 8919 + 8*m**4 - m**2 - 12*m).\nAnswer: 16*m**4 - 2*m**2 + 4*m - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 bigger than -630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14119, 14139, 14159, 14179?\nAnswer: 14199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = t - 68. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*k - 597*k + 990 = -21*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 609818208 and -0.4.\nAnswer: 609818207.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-12))\/(7290\/4374)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 973962 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 9*q**2 - 30*q - 88. Let l be w(-11). Suppose -10*f - 22 = -11*f + 5*h, -5*f + h + 14 = l. Solve -4*b = -3*u, u + 26 = f*b + 6*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8043 is divided by 52.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtrf when four letters picked without replacement from rarfurrtriaa.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268955775 and 1958?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 4*y**2 + 4*y - 3. Let a be o(-5). Let h be ((-8)\/3)\/(a\/(-3)). What is the units digit of h\/18 - 345\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1708\/3, 1, 0.07076, 0 in decreasing order.\nAnswer: 1708\/3, 1, 0.07076, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8224, 16451, 24678, 32905, 41132, 49359?\nAnswer: 57586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a6 (base 11) in base 2?\nAnswer: -1111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, -1, -9, -31, -73, -141, -241, -379?\n\"Answer: -j**3 + 2*j**2 + j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000106267017 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -48698356913.\nAnswer: 48698356912.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-2 - (2 + -11 + 5)) + -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 129*r + 4779. Determine o(30).\nAnswer: -891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(-2*f - f**4 + 2*f) + 731 - 731 + 101*f**4 to the form z*f**3 + n*f + s*f**2 + d + v*f**4 and give v.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) 3 (c) -257\/4593\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38235, -38303, -38373, -38445, -38519, -38595?\n\"Answer: -d**2 - 65*d - 38169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 + 11*i**2 + 12*i - 35. Determine g(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*h + 48794 = 545*h + 169*h for h.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 49*t**5\/4 - 3005*t**3\/6 - t + 55. Find the second derivative of d(l) wrt l.\nAnswer: 1470*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypy when three letters picked without replacement from yppybypyyypyy.\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9067298?\nAnswer: 2, 4533649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58 (base 15) to base 8.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58 - 67) + (-2 - -7) - (-15 - (6 - 27)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.599 - -8.099. What is the nearest to 0.257 in 0.3, -2\/5, p, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - 12013?\nAnswer: -12103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3141 (base 6) to base 3\nAnswer: -222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2. Let z(n) be the second derivative of -1\/2*n**3 + 0 - 4*n + 0*n**2. Determine z(q(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18196?\nAnswer: 2, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-12) + 2\/(-3). Let t = -323 + 609. Let g = -291 + t. What is the smallest value in g, 4\/7, -3, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 151. Let q(y) = -118246*y. What is q(p(x))?\nAnswer: -236492*x - 17855146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*r = 93*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98966 times 4?\nAnswer: 395864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 16*d + 74. Let s(u) = 3*u + 15. Let m(a) = -2*l(a) + 11*s(a). Let t be m(-11). Solve 3*y - y - t = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzk when three letters picked without replacement from zkkzlllkk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 7*z - 8 = 0. Suppose 0 = w + 3*o - 2, 5*w + o = -3*o - 1. Let r = 2 - w. Solve -2*c + 4 = 2*s - r*s, 0 = -z*s - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -1 - ((23 - (-27 - 8)) + 20)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwrrrrrrrvrrrrrr. Give prob of sequence rv.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1449 - -1457 - (1 - (11 - 0))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 376149603 - 3?\nAnswer: 376149600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**5 + 182883*r**4 = 0.\nAnswer: 0, 60961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8 + 2*p**2 - 20*p + 3*p**2 + 24 - 12.\nAnswer: 5*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, v: 4, h: 1}. What is prob of sequence hh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 + -102131202?\nAnswer: -102131030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 3*v**6\/40 - 3*v**5\/20 - v**4\/12 + 11*v**3\/6 + 191*v**2. Let d(p) = -5*p**3 + 5*p**2 + p - 6. What is -11*d(q) - 6*z(q)?\nAnswer: q**3 - q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -269 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, -2, 5, 3 in ascending order.\nAnswer: -8, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 3*r + 1. Suppose 7 = 2*a - a + m, 3*m = -a + 17. Let t be a\/(-6)*(-9 - -3). Calculate u(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*(-4*4*sqrt(288) - (-3 + (sqrt(288) - (4*sqrt(288) + sqrt(288))) - sqrt(288))))**2*-2.\nAnswer: -69717 + 1584*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(833)*1 - sqrt(833))*-1 + sqrt(833) + sqrt(833) - sqrt(833)))**2 - ((1 + sqrt(833))*4*6)**2.\nAnswer: -477052 - 8064*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*m, -5*n + m - 11 = -m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**2 + 336*g + 972 = 0.\nAnswer: -81, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + b - 6*b = -105, 0 = 2*j - 5*b - 28. Suppose -20 = -5*z - 0*z. Solve -j + 3 = z*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a (base 11) to base 5.\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2 = 3*n - 12, 5*n - 20 = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -204 and -0.044.\nAnswer: 8.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4 + k**2 + k + 0*k - 2*k. Suppose -28*g - 16 + 156 = 0. Give m(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 3*y - 7. Calculate x(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**2\/3 + 586*m\/3 - 384 = 0.\nAnswer: 2, 576\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18729951?\nAnswer: 3, 6243317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2*(-2)\/(-10) + (37 - 42588\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -853123.8 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, n: 1, k: 1, a: 2}. Give prob of picking 3 l.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(891) + 0)*6 + 2*sqrt(891)*6 + -3 + -2.\nAnswer: 1 + 162*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/11)*k*k**(1\/2))\/(k**0*(k**(-2\/3)\/k)\/k)*(k*k**(-7)*k*k*k*k*k**(-2\/7))\/((k**1*k)\/k)**(-25) assuming k is positive.\nAnswer: k**(12797\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 169226245 divided by 11815?\nAnswer: 14323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 284 - 287. Put a, 2\/35, 0.1 in decreasing order.\nAnswer: 0.1, 2\/35, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2*i + 1524, 4783 = 5*f + 3*i + 925. Which is smaller: 767 or f?\nAnswer: 767","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x + 2*x + 4*x + 3*x**2. Let f(p) = 2*p**2 + 5*p - 5. Let i(q) = -2*q**2 - 6*q + 6. Let s(w) = -6*f(w) - 5*i(w). Give s(g(a)).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 0*g**2 - 8*g + 2*g**2 + 11*g + 4 + 2*g. Let r(p) = 10 + 2*p**2 - 2 + 4*p - 3 - 2. What is -4*c(j) + 5*r(j)?\nAnswer: 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 0*m + 4*m - 6*m + 10*m. Let n(f) be the second derivative of -1\/3*f**3 + 6*f + 0 + 0*f**2. Give a(n(b)).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 476311?\nAnswer: 476308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*2*-6 - sqrt(152))*-6)\/(sqrt(72)\/(sqrt(9) - (sqrt(576) + sqrt(576)*-2))).\nAnswer: 702*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 274, 629, 1128?\nAnswer: 1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 8, 3*c + 2*m - 67 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640) + (sqrt(640) - -2*sqrt(640)))\/(3*sqrt(32)).\nAnswer: 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkvzdd. Give prob of sequence dd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + sqrt(104) + 2*(sqrt(104)*-3 + sqrt(104)) + sqrt(104) - (sqrt(104) + (sqrt(104)*3 + sqrt(104))*4))\/(sqrt(16)\/((-2*sqrt(16))\/sqrt(8))*4).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in 0.2, 3, -107?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -c. Let b(f) = f**2 + 17*f - 61. Let d be b(-20). What is the remainder when c is divided by -6*((-5)\/3 - d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.63707 take away 0.137?\nAnswer: -29.77407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = 60. Let h = -14 - -17. Suppose h*a - 2*a = k. Calculate the remainder when a is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b2c - a?\nAnswer: 2b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -12*p - 14. What are the prime factors of y(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/595652 and 45\/4169564.\nAnswer: 4169564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 + 6*c**2 - 12*c. Let d be x(-9). Calculate the least common multiple of 2\/(-13) - d\/39 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a + 22. Suppose -5*l - 2 = -4*l - 3*r, -4 = -l + r. Let j be w(l). Let m be j\/36*4 + 16\/6. Solve m*v - 4 = -0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 27*s**2 + 58*s + 13. What is r(-29)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -29*j**2. Let c(t) = 234*t**2. Calculate c(d(h)).\nAnswer: 196794*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j*q*s**2 + j*q*s + 2*j*q + q*s**2 + 143*q + 19*s**2 wrt s.\nAnswer: -2*j*q + 2*q + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1981?\nAnswer: 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 - -0.1. Let i = 0.043 - -38.957. Let r = 29 - i. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 950\/7 - 136. Suppose 0 = -4*p - 9 + 25. Suppose p*x + 6*w - 32 = 2*w, -2*x + 24 = 4*w. Which is the second biggest value? (a) -3 (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 33371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 1861, -1\/5, 3\/4, -2\/7 in decreasing order.\nAnswer: 1861, 4, 2, 3\/4, -1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409499 is divided by 117.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 636153.\nAnswer: -5\/636153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 28. Let z be 25\/2*8\/w. Solve -4*h - 12 = -2*d, 0 = 5*d - 0*d + z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**5 - 12*j**4 + 39*j**3 + 12*j**2 - 36*j = 0.\nAnswer: -6, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/12)\/(-100*36\/(-92160))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 18538 = 15*o. List the prime factors of o.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295016895 divided by -59003379?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/(p*p\/((p*((p\/p**2)\/p*p*p)\/p)\/p)*p)*p**5\/p**3)\/((p**1*p**(-2\/15))\/(p**(1\/2)*p)**32) assuming p is positive.\nAnswer: p**(737\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100.57 + -2.43. Let r = 106 + n. Let g = 4 + -8. What is the third biggest value in 6, r, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141722995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 = -1. Let g(k) = 0*k + 2*k - 3*k - 1. Determine g(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 23*g + 20. Let y be f(-14). Let c = 369 - y. Which is bigger: c or 222?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 15*t**2 + 27*t + 20. Let k be a(-13). Let z(p) = 3*p - 4. Determine z(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84787950?\nAnswer: 2, 3, 5, 13, 43481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 592 = y. Suppose 21*v + y = 25*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekje when four letters picked without replacement from {j: 2, d: 5, k: 3, y: 1, e: 5}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 31*l**2 - 50*l - 153. What is q(29)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 816 and 329136?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3\/5 + 9*q**2\/5 + 14*q\/5 = 0 for q.\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 n, and 1 l when three letters picked without replacement from lfrnrrsrsl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -11*a**3 - 3*a - 12. Let x(w) = 44*w**3 + 13*w + 49. Let l(h) = -26*r(h) - 6*x(h). Find the first derivative of l(m) wrt m.\nAnswer: 66*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -275.1 - -267.1. Which is the closest to p? (a) -6 (b) 2 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 15 = 20*o - 19*o, -5*a + o = -15. Let d be (-1)\/((-1)\/(0 - -1)). Let y = 1 - d. Solve -w + y*w = a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10819 and 1.\nAnswer: -10818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 737*f - 495. Is m(16) a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, b: 1, i: 11, g: 1, s: 3, o: 1}. Give prob of sequence ob.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*h**4 + 21*h**4 - 2*h**2 + 15*h**4 + 1 - 4*h**3 - 26*h**2 - 87*h**4 wrt h?\nAnswer: -432*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*y - 43*y - 3*y in the form q + v*y and give v.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 35 = -3*x - 0*x, 4*x + 42 = -2*a. Let b = x - -15. Let j = -64 + 70. Solve -t - 6 = -2*g + 4*g, 2*g - j = b*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -155375095 - -1490.002.\nAnswer: -155373604.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4*(3\/99)\/((-4)\/6)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 302888458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 113.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3508, -2, 0.4, 9\/2?\nAnswer: -3508","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2)**(23\/2) assuming m is positive.\nAnswer: m**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149711 is divided by 4302.\nAnswer: 3443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + u**2 - 4)*(17*u - 3*u + 23*u) + 2*u - 2*u - u**3 + (-u + 5*u - 3*u)*(-5*u**2 + 0*u**2 + 3*u**2) + u**3 + 0*u**3 - 2*u**3 + u**3 + 3*u**3 - 2*u**3.\nAnswer: 35*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -143*z - 2135. What is s(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.443 + -0.3?\nAnswer: -43.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(125\/(-10))*190\/(-57))\/((-714)\/(-204))?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 12*i**2 + 10*i + 14. Let h be d(-11). Suppose -3*g + 26 = 2*j, 2*g + 1 = -j + 4*g. Solve -2*v = -j*v - h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - 48 - -59 - -18?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 434 - 404. Calculate the lowest common multiple of h and 147.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1908 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 249106*g**2*o**3 + 13*g**2*o**2 - 138*g**2*o + 40*g**2 + 6*g*o**3 - 3*o**3 wrt o?\nAnswer: 1494636*g**2 + 36*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7*r = -2*i + 2, 4*r = -3*i - 1. Suppose -364 + 280 = -7*c. What is the smallest common multiple of i and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4*(-60)\/96*5\/(-4) and -31\/1445?\nAnswer: 11560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 3*c + 1. Let d(f) = -2*f**3 + 4*f**2 + 14*f - 22. Let p(l) = d(l) + 6*k(l). Factor p(a).\nAnswer: -2*(a - 4)*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m. Let y(u) be the third derivative of 1\/20*u**5 + 0*u + 0*u**4 + 0*u**3 + 3*u**2 + 0. What is w(y(s))?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15582.27 rounded to the nearest ten?\nAnswer: -15580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1161 = 195*g - 204. Solve g*u - 8*u + 6 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - i + 3)*(-18 + 543*i + 78*i - 3*i**2 - 616*i + 2*i**3) as k + f*i**3 + o*i**2 + c*i**4 + y*i and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60514 is divided by 3072.\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4354 + -4351.791. Let m = -2.19027 + v. What is m rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 20 = 3*m - w, 0 = -3*m + w + 14. Calculate the remainder when 21 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:03 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 5711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -202, -1650, -5596, -13288, -25974, -44902?\n\"Answer: -208*f**3 - f**2 + 11*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/9 and 61\/39604671.\nAnswer: 39604671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 1\/6*h**5 - h**2 + 0 + 137*h + 1\/15*h**6 + 2*h**3 - 5\/12*h**4. Let k(i) = i**3 + i**2 - i + 1. Determine 10*k(w) - x(w).\nAnswer: 2*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11*u**3 - 17*u**2 - 34*u + 1994. Let s(j) = -2*j**3 - 3*j**2 - 6*j + 332. Give 34*s(x) - 6*w(x).\nAnswer: -2*x**3 - 676","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001000011100 - -1011111?\nAnswer: -10000110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 4*w**2 + 31*w**2.\nAnswer: 35*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 8*x - 1. Let k(p) = -38*p - 3*p**2 + 37*p - 11 - 5*p**3 - 11*p**2 + 4*p**3. Let s be k(-14). Suppose -17 = s*h + l, -4*l + 11 = 31. Give c(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 4*j - 9, 2*j - 2*h = -5*h + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/10 + 0)*-10 - 2. Suppose 6*g - w*d - 906 = 3*g, 15 = 3*d. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -4, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -366.2?\nAnswer: -732.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 2, t: 1, e: 5}. Give prob of picking 2 e.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 452*o*z + z - 283 wrt o.\nAnswer: 452*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 14. Let y be m(13). Let l = -1081 - -1084. What is the second derivative of l - y + 9 - 2*k**2 + 13*k wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*s + 11394, -3*c + 36099 = 2*s + 1982. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -0.09, 0, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**5\/10 + r**4\/2 - r**3 + r**2 + 8*r. What is b in t(b) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3640, 3584, 3510, 3418, 3308, 3180?\nAnswer: 3034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-28))\/(((-175)\/(-20))\/7).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -47. Let i(z) = -z**2 + 5*z - 1. Let a be i(4). Suppose a*w - 67 = -g. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0492 * 0.1.\nAnswer: -0.00492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 14 = -5*c, 38*c - 35*c - 3*a = 6. Solve 0 = c*x - 7*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 0.2 (c) -0.1 (d) 98.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 u when three letters picked without replacement from upppu.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 4 (c) -3402355\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1713 + -1338. What is the least common multiple of 8 and v?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f + 4*c + 92 = 31*f, 4*f = 4*c + 112. Solve f = 2*h - 5*d + 10*d, -d = 2*h - 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -785 = -74*a + 29. Solve a*g = -8*g - 95 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = 0, -4*t + 3*y = 11867 + 3290. Let z = t - -1107. What is z rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1559 - -1)\/(5\/(-125)). What is r rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9732 (base 13) to base 15.\nAnswer: -634c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 8. Is (-500)\/f + 2\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.552 + -8.11. Let u = 32 - 28.6. Let p = y - u. What is p rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -71, -2181, 5, -3 in increasing order.\nAnswer: -2181, -71, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1. Let p(a) = 2*a - 1. Let k(s) = 2*p(s) - 2*x(s). Let j(l) = -10*l - 37. Let v(n) = -2*n - 6. Let z(m) = -j(m) + 4*v(m). Determine k(z(i)).\nAnswer: 8*i + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-190)\/(-836))\/(2\/(-4)*-1). Let i(f) = f**2 - 2*f - 3. Let v be i(3). Which is greater: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -25*n**3 + 199*n**2\/2 - n - 55. Differentiate r(o) wrt o.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1793*v + 5292. What is s(-3)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Suppose y = 3*w + w + 2*c, 11 = -3*w - 4*c. Solve 2*b = 5*b + w*a - 21, -2*b - 3*a = -18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1824033\/49246289 + 4\/52223. Find the common denominator of b and 37\/253.\nAnswer: 10373","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 381256*u**2 + 2668564*u - 3049824.\nAnswer: 4*(u - 1)*(u + 8)*(u + 95307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*k**6 - 20*k**2 - 19*k**6 + 31*k**6 + 5*k**2 wrt k?\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19829528 to the power of 1\/2, to the nearest integer?\nAnswer: 4453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**3 + t + 6. Let j(d) = 3*d**3 - d - 3. Let p(g) = g**3 - 13*g**2 - 4. Let h be p(13). Let i(k) = h*c(k) - 7*j(k). Give i(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58540 and 276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 4*o**2 + 8*o - 4. Suppose 0 = d - 6*d - 30. Let y be j(d). Solve 4*h - y = -0*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1805 and 855?\nAnswer: 16245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-27)\/(-36) + -3)*(-8)\/6. Let i(g) = -5*g**f - 2*g**3 - 20*g + 15*g + g + 9. Let m(a) = 4*a**3 + 2*a - 5. Determine 3*i(l) + 5*m(l).\nAnswer: -l**3 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 33*y**2 - 44*y - 370. Let d be g(-32). Solve -23*c + 21*c = 2*q + 16, -q - d = 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 3*x**5\/20 + 13*x**4\/12 - 85*x**3\/3 + 155*x. Find the second derivative of p(l) wrt l.\nAnswer: 18*l + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*g**4 - 107*g**4 - 52*g**4 + (2*g**3 + 2*g**3 - 5*g**3)*(4*g - 2*g + 0*g) + 0*g**4 + 2*g**4 - 3*g**4 as t + z*g**2 + h*g + r*g**4 + l*g**3 and give r.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67 minus 2197964.41?\nAnswer: -2197963.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 3:47 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beebbbbbqbbbbebbqbbb. What is prob of picking 3 b?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -15*m**3 - 6*m**2 + 6*m - 6. Let o(y) = -14*y**3 - 5*y**2 + 5*y - 5. Give -5*b(p) + 6*o(p).\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 60.856. What is v rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzzazzztzfft. Give prob of sequence fzz.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*133\/1064?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**2 + 10*q + 2. Let y(v) = v**2 - 1. Let n(u) = b(u) + 4*y(u). Let c be n(10). Let t = -6 - -4. Do c and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 40*n**2 + 224*n - 29. Let w be s(-45). Solve 0 = -v, 4*h = -0*h + 2*v - w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccaa when four letters picked without replacement from {c: 5, a: 14}?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -13*v + 2. What is the closest to -2 in -0.3, v, 1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -14. Factor 0*p - 1\/4*p**4 - 1\/4 + 1\/2*p**n + 0*p**3.\nAnswer: -(p - 1)**2*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 151127, 8 in descending order.\nAnswer: 151127, 8, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -107991*o**3\/4 - 216003*o**2\/2 - 324141*o\/4 - 63\/2 = 0.\nAnswer: -3, -1, -14\/35997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2991, -11470, -25601, -45384, -70819?\n\"Answer: -2826*f**2 - f - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyy. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -67768 divided by -4?\nAnswer: 16942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*b - 50, -14*b - 2 = -13*b + 3*i. What is the greatest common factor of b and 25438?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(242) + (3*sqrt(242) - sqrt(242)) + 0 - (sqrt(242) + sqrt(242)*5)*-2)*-4)**2.\nAnswer: -871200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-72*w + 11314 - 11314) - 4*w - 3*w + 2*w.\nAnswer: -77*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**2 + 11*k - 8. Let h(p) = -3*p**2 + 7*p - 5. Let c be (180 - 187) + 2 + 0. What is c*r(x) + 8*h(x)?\nAnswer: -4*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 2*j - 1. Let r(p) = p. Suppose -n - 2*o + 2 = 3, -3*n = 5*o. Let s be r(n). Suppose -s*y + 3 + 0 = 4*g, -9 = y - 4*g. Calculate u(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8000102*g - 6230071 wrt g.\nAnswer: -8000102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3255152 - -4?\nAnswer: -3255144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6df2b + -3?\nAnswer: 6df28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 486908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 12, 2*p - 6 = 6*j - 7*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**4 - 1 + 1 + (-2*p**4 + 2*p**4 + p**4)*(-136 - 52 + 40) in the form u*p**3 + s + r*p**2 + q*p**4 + z*p and give q.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/(-2))\/(158116\/13174 - 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - 8548876?\nAnswer: -8548886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-24))\/((-2)\/(-136)). Let i be (3 - 44\/(-8))*(-4)\/(-2). What is the highest common factor of h and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 96*b - 62. What is the least common multiple of z(2) and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 17593909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 - 81.2. Let s = 2.19 - 0.19. Let g = -2.5 - -2. Which is the nearest to s? (a) g (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.26 + -0.06. Let r be (-1)\/(-2) + (-231)\/(-2). Let h = 808\/7 - r. What is the nearest to 1 in -1, x, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = 0, -4*f + 2 = -3*c - 1. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 4:05 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*y = 28*y - 66 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 1\/30*l**5 + 0*l + 0*l**4 + 0*l**3 - 6*l**2 + 0. Let p(z) = 18*z. What is k(p(u))?\nAnswer: 648*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.6. Let d be 9\/(-60)*2*8\/6. Which is the nearest to d? (a) -0.4 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1200763 is divided by 1075?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (66\/9)\/2*(-192)\/(-5248)*-82\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.047 - -0.667. Let g = -445.49 - -446. Let z = h - g. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3785*k**5 - 4596*k wrt k.\nAnswer: 75700*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) -4 (c) -5 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 7831140.\nAnswer: -1\/2610380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*t - 67, 0*t = -3*t - 3*z + 57. Let p = -14 - -24. Calculate the lowest common multiple of t and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u**2 + 11 + 13 + 16*u**2.\nAnswer: -15*u**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l - 6*l + 6201*l**2 + 8*l + 1. Let n be w(1). What is n rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/193, -0.3, -3, -2, -4, 321.5?\nAnswer: 321.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/4)\/5*((-288)\/1458)\/(186\/(-10881))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/3 - 3*v**3 + 14*v**2\/3.\nAnswer: v**2*(v - 7)*(v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**5\/5 + 5*q**4\/12 - 12*q**3 + 25*q. What is the second derivative of f(w) wrt w?\nAnswer: 24*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14714095.6797 + -14.6.\nAnswer: -14714110.2797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -2\/25, 81, 0.9, 26, 5?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by (-12)\/(-8)*(-16)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -6 (c) 14 (d) -34 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1978 = a - 11804. Suppose -94*t - 3468*t**2 - 16 + 234*t + a*t**3 + 268*t = 0. Calculate t.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1088) - -1*sqrt(1088)))**2 + sqrt(1088) - (sqrt(833) + sqrt(833)*-1 + -2).\nAnswer: 8*sqrt(17) + 17410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 948842857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**3*r + 2*n**3 - 1701*n**2*r**3 + 756*n**2 with respect to r.\nAnswer: -n**3 - 5103*n**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -18 - (10 + (-9 - 15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 12. Let t be x(-10). Let y(g) = g**3 - 7*g**2 - 8*g + 3. Let i be y(t). Differentiate -5*b**3 - 3*b - 2 - i + 3*b with respect to b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207.17 + -207. Let q = -0.3 - -0.46. Let u = t - q. Is u at most -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66988569 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x. Let p(g) = -5*g**2 + 3*g + 3. Let f(t) = -6*t**2 + 4*t + 4. Let u(s) = -3*f(s) + 4*p(s). What is v(u(c))?\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3*j - 240, 2*j = -500*c + 499*c + 59. Solve c*x - 33 = 62*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -612 - -1258. Let i = x + -645. Which is greater: -12\/29 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 612094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 74522450 to the power of 1\/2, to the nearest integer?\nAnswer: 8633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 801*g - 3147. Determine a(4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - o**2 + 0*o**2 + 2)*(2 + 0 - 4).\nAnswer: 2*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*l - 212216 = 0, 133*d = 130*d + 2*l + 159169. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**7*g)\/(g*g**(-7)\/g*g))\/((g\/((g**7*g)\/g))\/g)**5 assuming g is positive.\nAnswer: g**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 r when four letters picked without replacement from {d: 1, v: 1, p: 1, h: 1, t: 2, r: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6\/103, 1\/2, -2\/7?\nAnswer: 6\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*v**5 - 75*v**4 - 6*v**3 + 1940*v**2 + 4488*v - 1440 = 0. Calculate v.\nAnswer: -6, -4, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 12)\/2 + 3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*s + d + 2, -4*s = d - 16. Suppose s*u = v + 3, 4*v - 9 = 3*u + 15. What is the remainder when 34 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(132))\/(-1*sqrt(75)) - (-3 + sqrt(1331) + 1 + ((0 + sqrt(11) - sqrt(11))*-3 - (0 + sqrt(11)*-1))))**2.\nAnswer: -216*sqrt(11)\/5 + 32176\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4234 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 149*r**5\/20 + r**4\/6 + 5*r**3\/3 - 6*r**2 - 334*r. What is the second derivative of k(l) wrt l?\nAnswer: 894*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/(-15) + (-2578797)\/(-918540) and 101\/36?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m + 27. Determine b(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/16)\/(((-3)\/(-4))\/(-3)). Let d be (7\/s - 1)*(-6 - -1). What are the prime factors of (2\/(-5))\/(d\/50)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - v + 3427 = 3452, -5*v - 20 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 + -65.94. Let n = c - -66. Which is smaller: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*i*p - 5742*g*p + 5*g*z + 2*i*p*z + 76*i*p - 56653*i*z - 2*p*z wrt z.\nAnswer: 5*g + 2*i*p - 56653*i - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3294 and 13612882.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14444 (base 6) in base 15?\nAnswer: -a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3394577585 to the nearest integer?\nAnswer: 58263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x - 15. Let s = 7862 + -7858. Calculate v(s).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -351 and 9286.\nAnswer: 8935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0.1, 0.17, 2\/17, -5 in ascending order.\nAnswer: -5, 0.1, 2\/17, 0.17, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**4 + 34632*d**3 + 69660196*d**2 - 22947024672*d + 1756133836864 = 0. What is d?\nAnswer: -4477, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85815563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39.85 - -39.72. What is u rounded to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2217*x**2 - 3. Let b(d) = 6648*d**2 - 10. Calculate 12*b(o) - 40*i(o).\nAnswer: -8904*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**6*s*s*s**(5\/6))\/(s**(1\/4))**(-46) assuming s is positive.\nAnswer: s**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -2207869?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -2\/15, 83, 0.3, 1\/3, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244081188.\nAnswer: 2, 3, 13, 167, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9853*m + 6975920. What is x(708)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1454\/15 - -97. Let n = -2\/15 - c. Let o = -77\/3 + 27. What is the nearest to -1\/9 in -2\/9, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3859033489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-2\/31)*u\/u**4*u*u*((u*u**(-11\/4)*u)\/u*u)\/u*u*u\/u**(-3) assuming u is positive.\nAnswer: u**(395\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -717 and -2?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35074, -70159, -105244?\n\"Answer: -35085*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:42 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-96 - 0 - 0). Let j = -15 - i. Is j a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*m**5 + 3*m**3 + 308*m wrt m.\nAnswer: 720*m**3 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 933210?\nAnswer: 6532470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-3)*c*c))**29)**(4\/23) assuming c is positive.\nAnswer: c**(232\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15)\/(-135) - (-24191)\/9.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**4 + 6900*s**3 + 2366660*s**2 - 9549600*s + 9577280 = 0.\nAnswer: -692, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 20. Suppose -t + 5*t - 4 = 0. What is the third smallest value in t, q, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 + 31*y - 19. Determine b(13).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406592 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 6:40 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4721130 and -3.74.\nAnswer: -4721133.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 110, 112, 114, 116, 118?\n\"Answer: 2*n + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 91*m + 29*m = -762 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q + 6*q)*(-1 - q + 1) + 7 - 1 + q**2 + 2.\nAnswer: -6*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.7426 + 4.7426. Let f = -269\/42 + 46\/7. What is the nearest to 2\/9 in 2, f, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*-18)\/((-96)\/48). Suppose -s*q + 468 - 450 = 0. Let f(l) = 1 - 2*l**2 + 2*l - 3 + 0*l + l**3. What is f(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d6d (base 14) in base 7?\nAnswer: 21466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -148*f**3 + 10036*f**2 + 526600*f + 1011872 = 0.\nAnswer: -1228\/37, -2, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*-1*(3 + -2). Let a(s) be the second derivative of 4*s**4\/3 - 5*s**3\/3 - s**2\/2 - 2*s. Let n(h) = -3*h**2 + 2*h. Give g*a(k) + 11*n(k).\nAnswer: -k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (27\/(-12) - -2)\/((-1729)\/1976). Let q = 16 + -47\/3. Which is the second smallest value? (a) 1 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*r - r**2 + 138299 - 138295 + 440*r to z*r + n + h*r**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 41.6. Let y = -4 - s. Sort -0.1, y, -1\/4 in increasing order.\nAnswer: y, -1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*b**2 - 287*b**2 + 100*b**2 - 61*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 127824 minus -3057946?\nAnswer: 3185770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.6 + 0.4. Suppose -5*g - 763 = -723. Let i be 4*(-2)\/(-40) - (g - 4). Which is the third smallest value? (a) 0 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4 + d**2 + 5 - 5*d + 4*d. Let w be g(2). Let x(f) = -2*f + 4. Let s be x(w). Is s at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56327262.\nAnswer: 2, 3, 9387877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 19\/10)\/(204\/510). Sort c, -54, 2.\nAnswer: -54, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.7 + -16.9. Let i = 0.05 + 0.15. What is the closest to i in o, -1, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3 + 37*v**2\/4 + 63*v\/4 + 9\/2 = 0 for v.\nAnswer: -1, -3\/8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*6\/(-9) + -12. Let o be (b\/12)\/((-16)\/36). Solve -n - x - 21 = 4*n, 5*n = o*x - 37 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, -22, -14, 12, 62, 142, 258, 416?\n\"Answer: b**3 - 11*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r - 2. Let h be g(4). Let n(v) = -v**2 + 4*v + 1. Let x be n(3). Let z = h - x. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*n - 2*n. Let u(i) = 37*i - 12. Let w(b) = 203*b - 65. Let d(a) = 27*u(a) - 5*w(a). Determine d(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 3. Let r = 4719\/25 + -14167\/75. Sort r, z, -5\/2 in ascending order.\nAnswer: z, -5\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5378 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tbtttxttttbtbb?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 4*d - 14*d - 55*d**2 - 22*d + 12*d.\nAnswer: -55*d**2 - 20*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1584*q + 837*q + 1001*q)*(-2*q**2 + q**4 + 2*q**2).\nAnswer: 254*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**8\/840 - t**5\/15 - t**3 - t**2. Let h(b) be the first derivative of w(b). Find the second derivative of h(a) wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 1:19 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197987036?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 2:17 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 128071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 12*o - 15*o. What is the greatest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5 - 4702*b**4 - 2770638*b**3 - 8264954*b**2 + 2770640*b + 8269656 = 0. What is b?\nAnswer: -1174, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, -2 in decreasing order.\nAnswer: 14, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126395972 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -185140.9545 + 185099. Let d = 42 + y. Let r = d + -0.044971. What is r rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1269, 3762, 6255, 8748, 11241?\nAnswer: 13734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 59*a**5 - 2*a**4 + 2*a**3 - 4*a**2 + 24*a. Let h(j) = -j**5 + j**4 - j**3 + j**2. Let z(p) = -2*h(p) - k(p). Find the third derivative of z(r) wrt r.\nAnswer: -3420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Suppose -3*b + 9 = -t*b. Let u = 39 + -36. Calculate the highest common divisor of b and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/15 - ((-2588)\/(-10))\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1196\/8372)\/((-8)\/(-42)) - (15 + -5)?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214689481.\nAnswer: 17, 131, 149, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*f = -142*f + 45 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -776365 (base 8) to base 2.\nAnswer: -111111110011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 28*o + 20. Let g be z(-28). What is the third biggest value in g, -0.4, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.06, -6\/11, -85, 0.05, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - -1) + -2 - 1) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420279 is divided by 3091?\nAnswer: 2994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 40 + 19 + 2*c + 20 to a + l*c and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d + 10 = 5*i, -5*i - 14 = d. Let b(x) = x**2 + 7*x - 2. Let y be b(-7). Are y and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 + 225*j**2 + 343*j - 109. Let m be v(114). Which is the nearest to 19.8? (a) m (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 15*j - 24. Let z be o(2). Suppose 0 = -5*r + 2718 + 1152. Find the second derivative of -774 - 16*q**z + r + 27*q wrt q.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24328 + -23151. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115880423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5552\/32)\/((10\/(-4))\/(-5)).\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -365, -801, -1237, -1673, -2109?\n\"Answer: -436*c + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(176)*2 - sqrt(176)))**2*5*6.\nAnswer: 480*sqrt(11) + 5400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -8*j**2 + 32*j + 28. What is the first derivative of d(y) wrt y?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -124 (b) 3\/7 (c) -4438266\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 6 - 9)*(0 - 2 + 4)*(-p + 4*p - 4*p).\nAnswer: -38*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11100 (base 3) to base 10\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1426911183 to the nearest one hundred thousand.\nAnswer: -1426900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -42064 greater than or equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -2c?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 m when four letters picked without replacement from mkcmkmkkakcmmmkmakm?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48252.22ml to litres.\nAnswer: 48.25222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (39\/(-5))\/(1\/(-5)) is divided by (-2)\/12*-3 + (-468)\/(-24).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1\/(-3)*33*(-14)\/((-308)\/(-66)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87868 (base 13) to base 11.\nAnswer: 158335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1094 + -504. Suppose -4*q - 186 - 7 = -r, 3*r - l = q. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56*-0.2.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*b + 15*q = -320*b + 4*q + 8*q + 1, 10*b - 5*q + 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10 - 32*a**2 + 4 - 40 wrt a.\nAnswer: -64*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 4*l + 0*l + 65*l**2 - 189*l**2.\nAnswer: -124*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 0*h + 20, 3*a - 2*h - 17 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218339 divided by -112.\nAnswer: 218339\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*o + 67*o - 432 = 0. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a + 1. Let o = -18 + 11. Let j(g) = -10*g - 2. Let y(v) = o*z(v) - 4*j(v). Give y(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2990673?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27335 + 27676. Is 40 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58.7 - -1.7. Let h = a - -56.9999978. Round h to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18*((-3)\/2 + 2). Let k = p + -6. Let f(v) = -v**3 + 5*v**2 - 1. Let w be f(5). Sort k, w, -3 in decreasing order.\nAnswer: k, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + -2001332?\nAnswer: -2001223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.9 and 2.\nAnswer: 21.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 333*r - 654.\nAnswer: -3*(r - 109)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -44 + 21 + 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -95639985, -95639988, -95639991?\n\"Answer: -3*w - 95639982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(3 + -7) + 1. Let c(b) = 2*b**2 + 13*b + 3. Let j be c(-6). Let f(q) = -q**2 - 5*q - 4. Let p be f(-5). Sort j, i, p in descending order.\nAnswer: i, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 21102121120?\nAnswer: 21102121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 721765262 a multiple of 1336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -20*d + 2. Let q(b) = 17*b. Let i(n) = 7*q(n) + 6*u(n). Determine i(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o**(-1\/25))\/o*o)*o*(o*o**(4\/19))\/o*o**10*((o\/(o*o**(-2\/23)*o))\/o)\/o*o)**1 assuming o is positive.\nAnswer: o**(102012\/10925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(204) - sqrt(204)*-2) + 2*(sqrt(204) - (sqrt(204) - (sqrt(204) - sqrt(204)*-3))))\/(-5*(-2*sqrt(1728)*-3 - sqrt(1728) - sqrt(1728))).\nAnswer: -13*sqrt(17)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.1. Let y = 1\/468 - 941\/2340. What is the closest to 3\/5 in y, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*p**2 - p**3 - 244*p**2 - 245*p**2 + 732*p**2.\nAnswer: -p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637275890.\nAnswer: 2, 5, 63727589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*q = 30*q + 23868. Suppose -15*k - 87 = -q. Is k a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 5*j = s + 3, -4*s + j - 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 9*l**2 + 23*l - 75. Is 11 a factor of k(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76189571 is divided by 324.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 58 = 34 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 - 147. List the prime factors of (-1740)\/v*7\/4.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 3*a - 18, -6*i + 17*i + a + 84 - 120 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 0*z - 1\/24*z**4 - 26*z**2 + 0 - 2\/3*z**3. Let y(t) = -2*t. What is u(y(m))?\nAnswer: 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 3. What is the remainder when 18 is divided by w(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 4*m**2 + 3*m + 2. What are the prime factors of i(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 4. Let j be m(-5). Suppose w = -2*w + j. Suppose 0 = 2*a + w*a - 16. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 11 = -2*u - 2*u, 0 = 2*b - 5*u + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*n**3*x**2 - 4*n**3 + 2*n*x**2 + 96*n - 3*x**2 wrt n.\nAnswer: 36*n*x**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 70*t**2 - 50*t. Let g(p) = 4*p**2 - 3*p. Let s(x) = -50*g(x) + 3*z(x). Let n(b) = -27*b**2. What is n(s(h))?\nAnswer: -2700*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (2 - (-2 + 3)). Let u be (-2 - -3)\/(-1 - -4). Suppose p + 5*w = -10, 6 = 2*p - w - 2*w. Which is the second biggest value? (a) s (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2719*g**3 - 212 - 83*g - 2718*g**3 - 576 wrt g.\nAnswer: 3*g**2 - 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-105) - 0)\/((-5)\/15)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -96235444.\nAnswer: -96235447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -4, -1, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**4 - 1979711*i**3 - i**2 + 163475*i - 4 wrt i.\nAnswer: 72*i - 11878266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4331756.\nAnswer: 2, 11, 13, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r + 24. Give i(-10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert a1c (base 14) to base 13.\nAnswer: b9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/13, -2, 119144?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 213214120 (base 5) to base 11\nAnswer: 5744a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**0*l*l)))**(1\/8) assuming l is positive.\nAnswer: l**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 37\/2 of a hour?\nAnswer: 1110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5736576?\nAnswer: 2, 3, 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-6)\/(-3))*(-5)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 11*o**2 + 8*o + 10. Let k be 334\/(-22) - (-34)\/187. Let f be c(k). What is f rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 3*h**2 - 31*h - 12. Give d(5).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**5 + 36*l**4 - 28*l**3 - 36*l**2 + 32*l = 0?\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14110 - -1?\nAnswer: 14111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 819, 820, 821?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 14.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-12)\/54)\/(9\/(189\/(-20))) and -41\/50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1889583890 to the nearest integer?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7281.7 - -7281.6956387. Round a to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11515 and 41895?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-27 - (-9 - 5)) + 13 - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5 = p, -12*y = -15*y + 2*p + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 68702 - 22905 - 22902 - 8*x - 22904.\nAnswer: -7*x - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -242*c**2*d**2 + 18*c*d**3 - 547*d**3 - 3*d**2 + 2*d wrt c?\nAnswer: -484*c*d**2 + 18*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128836*o*t**3 - 2*t**3 + t**2 - 82*t - 33 with respect to o.\nAnswer: -128836*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-66)\/(-14) - 2\/(-7). Let i(z) be the third derivative of -z**4\/24 + z**3\/2 - z**2. Let l be i(y). Which is greater: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -2\/7, -239 in decreasing order.\nAnswer: 43, -2\/7, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -193 + 221. Suppose -h = -86 - 23. Suppose k - h = -z. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000153227094 to 7 dps.\nAnswer: 0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/12 - (-814)\/8. Suppose -2*o = 3*c - 535, -3*o + 176 = 5*c - 4*c. Suppose 5*g - 2*d - c = 0, -j = 5*g + 2*d - 273. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - 123\/54)\/((-260)\/17628) and -59\/276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 1:32 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**6\/780 - 57*c**5\/130 + c**2 - 866. Factor o(l).\nAnswer: -2*l**2*(l + 171)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t. Let w(x) = -x - 5. Let b be w(-7). Let v(c) = -7 + 8*c**2 + 2*c**b + 7. Give z(v(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2188 - 2183. Solve -5*k - 21 = -0*k - 4*m, 4*k + t*m = 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 113. Suppose -6*z - z - 1020 = 13*z. Let x = z - a. What is the remainder when 140 is divided by x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 + -85. Let h be u - (-4)\/(5 - 1). Suppose -h*g + 4*v = -484, 131 = -g - v + 358. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v + 5*v)*(5*v**3 + 3*v**3 - 4*v**3).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 11:30 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 196552202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 30*v**2 + 3313*v + 1375. Give o(-110).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 + 144. Suppose -3*p + 51 = -3*m, 8 - 40 = -p - 4*m. Calculate the remainder when p is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + l - l**5 - 2*l + (-3*l**4 + 2*l**2 - 2*l**2)*(-2*l - 3 + 3).\nAnswer: 3*l**5 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1) + -1 + 84\/42. Let m be 2 + 3*((-20)\/(-6) + d). Solve -x = 5*t + m, -3*x + 12 = 2*t - 6*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (52 - 23 - 48).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 - 31*t + 45. Let r(b) = -7*b**2 + 63*b - 97. What is -5*f(a) - 2*r(a)?\nAnswer: -a**2 + 29*a - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80965?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -674000 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452 = -2*k - 460 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 k when four letters picked without replacement from kkfkffkkfffkfkffkfk.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 1:05 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -227 + 222 + ((-2)\/((-6)\/19))\/1. Let z = 2 - 1. What is the closest to 0.2 in v, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.3, -377 in ascending order.\nAnswer: -377, -5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3673506?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3721 is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g**2 + 5*g - 5. Let i(f) = -f + 1. What is h(c) + 5*i(c)?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110010111111001 + -10?\nAnswer: -10110010111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(833) + 4 + sqrt(833) + sqrt(833)*1*4.\nAnswer: 5 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -3. Let j = 5 - r. Let s be (3\/5)\/(j\/(-15)). Calculate the highest common factor of 24 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-239021.04.\nAnswer: 478042.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3866940 (base 10) in base 9?\nAnswer: 7243400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 775 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a milligram in micrograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 9:26 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 20 = 3*b - 2*f, b - 4 = f. Let n be 4\/b - (-16)\/(-18). Suppose c = -2*c + 3. Which is greater: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 179.0254? (a) 5 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 21300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11494.\nAnswer: 2, 7, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 8*d**2 + 6*d - 43. Calculate v(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3a71 (base 16) to base 4\nAnswer: 3221301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729517.\nAnswer: 1729517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 7 = 4*s - p, -3 = 2*s + p. Let g(d) be the first derivative of d**2\/2 + 10*d - 1. Let i be g(-9). What is the nearest to i in 0, s, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + s - 54. Let c be x(-11). Find the first derivative of -66 + 51*k - 30 + 7*k + c*k wrt k.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -538779*v**5 + 1241*v - 437 wrt v?\nAnswer: -10775580*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {v: 1, e: 7, g: 5}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2. Let i be -2 + (-504)\/20*10\/(-6). Let t(z) = -73 + i - 8*z + 31. What is t(k(d))?\nAnswer: -8*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19c (base 13) to base 4\nAnswer: -10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*m + 20, -3*m - 45 - 36 = -5*u. What is the second smallest value in 1\/61, 2\/13, u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q + 11. Let v(g) = g - 3. Let o(h) = -6*n(h) - 22*v(h). Let x(a) be the second derivative of 2*a + 0 - 1\/6*a**3 + 0*a**2. What is o(x(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/9 + 54122*l**3\/9 + 3284758*l**2\/3 + 454953590*l\/9 + 445153436\/9 = 0 for l.\nAnswer: -26878, -91, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 241 - 245. Suppose -u - 2 = -4. Sort u, a, -2\/9.\nAnswer: a, -2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-82)\/6 + 4)*49\/(-98)\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923604 is divided by 7648.\nAnswer: 5844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a + 15. Let d(y) be the first derivative of -y**3\/3 - 17. Calculate d(o(q)).\nAnswer: -16*q**2 + 120*q - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 9:35 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8896694 * 0.2.\nAnswer: 1779338.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 199.8 to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57638 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -29 (c) 2276\/25 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -94 and -5?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 627830267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -145 (b) -5\/6 (c) 21 (d) -2\/99 (e) 9 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1009358418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 137.876 and -504?\nAnswer: -69489.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*((-880)\/(-12))\/5. Let d = g + 203. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 7*y - 5*t - 265, -t - 185 = -3*y. Suppose -z + c + 18 = -c, 0 = 2*c - 6. Calculate the highest common factor of z and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*i + 1630 = -1583 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*f = -286*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 13 - 4. Let u(w) = 4*w + 13. Let f be u(-2). Suppose -q = f*d - 6*d - 34, -q = 5*d - 28. What is the least common multiple of q and g?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 + 372. What are the prime factors of i?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(21\/(-63))\/(9\/3).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 + 0.37. Let p = -102.69 - -118. Let k = p - 15.3. Which is the second biggest value? (a) k (b) s (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -91 + 107. Let f(h) be the third derivative of -1\/10*h**5 - 4*h**2 + 0*h**3 - 1\/70*h**7 + 0*h + 0*h**b + 0 - 3\/40*h**6. Factor f(q).\nAnswer: -3*q**2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68076 divided by -7564.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 8*d + 2. Calculate j(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 5 = g. Suppose r - g*r = -6. Suppose r + 68 = 5*x + 5*j, 0 = 2*x - 5*j. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 42. Let r = m + 29. Suppose -8*b = -3*i - 9*b + 328, -i + 5*b + 88 = 0. What is the highest common divisor of i and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8008661387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 25, 2*t + 3 - 252 = 3*y. Let n(h) = -h**3 + 10*h**2 + 3*h + 10. Calculate the remainder when t is divided by n(10).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + 6 + 3 + -1 + (843 - 719)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 23*t - 14. Let w(b) = -11*b + 7. Let a(r) = -3*q(r) - 7*w(r). Let j be a(6). Let v = j - 92. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 2*z**2 - 38*z + 467581. Is y(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/2)\/(-3)*-3. Calculate the remainder when 27 is divided by (u\/(-4))\/(4*3\/(-96)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2736 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -3. Let v = t + 3. Let w(p) = p**2 - p + 2. Does 8 divide w(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0, -7, -0.5, -28, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2396102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (80 - (-5 - -15))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - -1) + 2\/(-8). Let u = -67\/20 + y. Which is the closest to u? (a) -3 (b) 0.4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + 2*k**5 + 0*k**3 + 3*k**5 + 0*k**5 - 2*k**5 + (-2*k - k**4 + 2*k)*(-k + 0*k + 0*k) + 0*k**5 + 0*k**5 + k**5 - 2*k**5 + 14 - 14.\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + (-37 - (23 + -146)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/2*20\/(-50)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 244*f*g**4*w + 390*f*g**4 + 22*f*g**3 - 2*f*g**2*w + 2*f*g**2 - f*g*w - 23*f*g - 7*f*w - f - 12*g*w wrt g.\nAnswer: 5856*f*g*w + 9360*f*g + 132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 4:55 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-6)\/q*q)\/((q*q**(-5\/6))\/q))\/(q**(1\/2))**(-6\/5))**44 assuming q is positive.\nAnswer: q**(-2354\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/11 (b) 226 (c) -0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3129385 divided by -7.\nAnswer: 447055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*(-9)\/2 + -1. Suppose -5*f + 4*f + 3 = 0. Suppose 0 = f*t - 36 - 6. Calculate the highest common factor of t and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i + 0*i)*(95*i - 22*i - 47*i + 205*i).\nAnswer: -231*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2 = 6*l. Solve -l - 4 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from fpffeppmfpmpffpffpf.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*w - k + 46, -2*k - 8 = 0. Let j(y) = -5*y - 27. Let q be j(w). Solve -q*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2710 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 848205 plus -0.02?\nAnswer: 848204.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1408 or -0.033?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.14019*1\nAnswer: 0.14019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 71, 1, -0.2, 4?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1600411 (base 8) to base 2\nAnswer: -1110000000100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + -2*(-1271924)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9736? (a) 1 (b) 0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/82060 and -93\/24256936.\nAnswer: 121284680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**4 - w**4 + 0*w**4 + (450*w - 373 + 373)*(-2 + 2 + 2)*(6*w**3 - 2*w**3 - 3*w**3) to u*w**3 + v*w**4 + h + a*w**2 + o*w and give v.\nAnswer: 898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3337, -3326, -3309, -3286, -3257?\nAnswer: -3222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 12 - 6. Let a = 14 - q. Suppose -4*w - 16 = 0, 1 + 18 = -a*z - w. Let c(g) = 6*g**2 + 5. Let i(b) = -3*b**2 - 3. Determine z*c(f) - 5*i(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/27)\/(8\/(-12)*1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -9*z - 2. Put 0, z, 4 in ascending order.\nAnswer: z, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20641340, -41282681, -61924022, -82565363?\nAnswer: -103206704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((20\/(-25))\/(792\/45)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (74 - (2 - 1))) + 88 + -148 + 50.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-23 + 3645\/(-15))\/(-2). Calculate the highest common factor of 2318 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3490 is divided by 435.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + 1 - sqrt(2448))**2 + 5)*-6 + (sqrt(68) + -6*(sqrt(68)*2 - sqrt(68)))\/((sqrt(4) + sqrt(20)\/sqrt(5))*1).\nAnswer: -36 - 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 9468 = a, -14*a + 18*a - z = 37858. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5672880 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 t when three letters picked without replacement from otitiowiobiiii?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 12*j**2 + 19*j - 18. Let q be f(1). Let z = q - -116. Which is smaller: z or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1820, 2231, 3350, 5531, 9128, 14495, 21986?\nAnswer: 31955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99658 or 99690?\nAnswer: 99658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -9*l - 12*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**8\/20160 + c**7\/630 - c**6\/120 + 47*c**5\/60 + c**2 - 2*c. Let h(t) be the third derivative of d(t). Calculate h(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -117\/7 (b) 3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1212 + 20\/(-4))\/(-2 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - 3. Let s = -7 - r. Suppose 3*p = -s*p + 1661. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2086 take away -1.1?\nAnswer: -2084.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 4. Let m(z) = -3*z**2 + 15 + 4*z - 9*z**2 + z**3 + 6*z. Let b be m(11). Give u(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*o**5 + 463*o**4 + o**2 - 243*o - 2 wrt o?\nAnswer: 660*o**2 + 11112*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v**3 + v**2 - 9*v + 5. Let o(t) = 8*t**3 + 10*t - 5. Let d(r) = -3*o(r) - 4*y(r). Let p = -182 + 186. Is d(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + -5*sqrt(105)\/sqrt(3))*1)\/(((sqrt(225)\/sqrt(5))\/sqrt(3))\/sqrt(3)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 24 - 19 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -452*b + 5. Suppose 4*z + 2 = 5*u, 2*z - 3*u + 6 = -2*z. Let l be g(z). Suppose 0*r + l = 5*r - 3*s, -3*r + 819 = -3*s. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 1. Let j(t) = -4*t + 4. What is j(u) + 10*x(u)?\nAnswer: -14*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1930530 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1578 times -16.11?\nAnswer: 2.542158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -4\/9, 2, -22, -5, 1037\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -1 + 3 + 5. Suppose o = 2*u - 8. What is the least common multiple of 2 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 1822?\nAnswer: 5466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 696 in -4, -2, -1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 2, n: 1}. Give prob of picking 1 v and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 19 - -11 - 9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*4\/(-16) - 1*2. Let g = -6 + 8. What is the third biggest value in p, g, 0, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10131 - 2?\nAnswer: -10133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 46, 1, 2, 3 in increasing order.\nAnswer: 1, 2, 3, 8, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 plus -0.04424?\nAnswer: 0.10576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -14*i - 171. Calculate j(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.690401 minutes to milliseconds.\nAnswer: 281424.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*m + 17*m + 80*m + 108.\nAnswer: 186*m + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 2*t + 16. What is the remainder when 19 is divided by b(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 30*q. Let c(f) = -f + 207 - 207. Calculate c(t(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37218747201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -1118*i**2 - 15*i + 371*i**2 + 4 + 373*i**2 - 20 + 373*i**2. Let h be (-1 - -2)*(-4 - 9). Calculate p(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2284568 + -426?\nAnswer: -2284994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 6*w - 220. What is the greatest common factor of w and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 268, 2707, 9330, 22231, 43504?\n\"Answer: 349*i**3 - 2*i**2 + 2*i - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s + 3. Let h be v(-3). Let d be h\/18 + 11\/2. Let o = -4 + d. Solve 0 = -o*a - 5*w - 16, 2*w + 2 = -a + w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 19*r**2 - 2024*r + 3040. What is z(105)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 11*h - 14. Let t = 11 - h. Suppose 953 + 562 = 5*u + 5*r, -t*u + 1204 = 2*r. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 4:27 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-15) - 1623962\/(-139800). Let a = -2\/5825 - j. Let t = 1589\/1380 + -1\/690. Calculate the common denominator of t and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -447761624*u + 46161656 wrt u.\nAnswer: -447761624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwz when three letters picked without replacement from hzwxwxxdzjjw?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + -5 - (-2*(0 + sqrt(5)) - sqrt(5))**2.\nAnswer: -50 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 765.3433 and 13.\nAnswer: 778.3433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 136. Let v be h(-26). Let n be (-4 - 0) + 350\/v. Which is the fourth biggest value? (a) -2 (b) n (c) -2\/3 (d) 19\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10123611 (base 7) to base 3\nAnswer: -1121000011020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -10*g**2. Let s(v) be the first derivative of 15*v**2\/2 - 388. Determine s(w(x)).\nAnswer: -150*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**2 - 293*g - 1729. What is a(-35)?\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 28\/3*s**2 - 20*s**3 - 4\/3*s**5 + 12*s**4 + 0 = 0. What is s?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 3*f - 3247 + 3245. Let j be t(7). Solve 6*o - 4*i = 5*o + j, -i - 22 = -5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -14b4?\nAnswer: -14bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 minus -84.9?\nAnswer: 83.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-2)*(-48)\/10. Let o = 6 + -1. Suppose 3*u - 2*v - c = -o*v, v - 26 = -3*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(36)\/sqrt(64)))**2 + (-3*(sqrt(50)*-1 - sqrt(50)))\/sqrt(10).\nAnswer: 6*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 18. Let o be h(-12). Which is the third smallest value? (a) 2 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228911 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12 and -0.0136225?\nAnswer: 11.9863775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z + 14*z - 3. Let u be (-4 - -1) + (-190)\/(-63). Which is smaller: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2488 - -2730. Let g(o) = -o**3 + 6*o**2 + 7*o + 2. Let k be g(6). Suppose -q - q = -k. Calculate the highest common divisor of q and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2507265218 and 3.7044.\nAnswer: 2507265221.7044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 13332233133201?\nAnswer: 13332233133130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 - 2 + 0 + 3*f wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0595555, -172, 0.2, -1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 19*w - 5. Let j(d) = 20*d - 6. What is 6*g(t) - 5*j(t)?\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339717?\nAnswer: 89, 15053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 22*y**2 - 7*y + 6. Let i(r) = 7*r**2 - 2*r + 2. Let f be (4\/10)\/(3\/15). What is f*j(p) - 7*i(p)?\nAnswer: -5*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-7)*4\/(-10). Let x = -3\/14 + 5\/7. Which is greater: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -22?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4025, 8044, 12063, 16082, 20101, 24120?\nAnswer: 28139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = o - 4*u - 13, -4*u = -2*o + 10. Let l(f) = f**2 + 2*f - 1. Let a be l(o). Suppose -a*r = 7 - 17. Solve -6*c + r = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3518873946?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 8*l**2 + l - 4. Let v be o(8). What is the second smallest value in -5\/3, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-20 - -3) - (82 - 42)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 10*k**2 - 7*k - 8. Suppose -a - 4*g - 20 = -6, -a + 2*g = -10. Suppose -2*z - 3*d + 15 = 0, -2*z - a*d = -z - 8. Is r(z) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -103.\nAnswer: -28\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**4\/4 - 4*c**3\/3 - c**2\/2 + 4*c + 7217. Let m be 10\/(-2)*8\/(-10). Calculate b(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 700 + -699. What is the second biggest value in f, 0.2, -1\/51?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1200*u = 4*q + 1204*u - 33940, 0 = -4*q - 2*u + 33930. Is q a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one halves of a kilogram in grams?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11113231 (base 4) in base 15?\nAnswer: 67b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6362664*d**3 + 380834*d - 1.\nAnswer: -38175984*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 4 - 1)*(2*b + 2 - 2) - b + b - 2*b + b - b + b - 1 - 2*b + 1 + 2*b - 2*b - 2*b)*(0 - 3 + 26*b + 5) in the form a*b + d*b**2 + w and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4) - sqrt(256)\/sqrt(4) - sqrt(4) - sqrt(4)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3462656 and -523899.\nAnswer: -3986555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, s: 1, k: 1, j: 2, u: 2}. Give prob of sequence sbkb.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**3\/18 - k**2\/6 - 29. Factor b(h).\nAnswer: -h*(h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(152) - -3*sqrt(152)*-6 - (1*sqrt(152)*-2 - sqrt(152)))\/(-2*(sqrt(800)*2 + sqrt(8))*-6).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -70*t - 2234. What is l(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m. Let k be v(-6). Let f = k - -20. Let s(t) = 2*t**f + 3 - 2 + 0*t**3 + 2*t**3 + 0*t**2. Let i(g) = 4*g**3 + 3*g**2 + 2. What is -4*i(l) + 7*s(l)?\nAnswer: -2*l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, 149, 387, 645, 923, 1221?\nAnswer: 1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = 3*t, -3*q + 4*q = -5. Let l(v) = -3 - 3*v + 4*v**2 + 1 - 1 + 2. Let y be l(t). What is the greatest common factor of y and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4322413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/5, -5, -2.5 in ascending order.\nAnswer: -5, -2.5, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802*c + 1331*c - 5450 = 747*c for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -214?\nAnswer: -20d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -138 less than or equal to -2219\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 176387 <= 176388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(-2))\/((-12)\/72). Let g = 22 - l. List the prime factors of g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 7*r + 1. Let c(l) = 1840*l**3 - 560*l**2 + 3920*l - 560. Determine -10*c(i) - 5600*o(i).\nAnswer: -18400*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from lvllllv?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1172737239 to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -20*g + 4. Let k be n(-4). Let x = k - 49. Suppose 4*f - q = 57 + 12, -2*f + q + 33 = 0. What is the remainder when x is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 16\/7, -0.1, 2\/15, -0.019, 3 in decreasing order.\nAnswer: 3, 16\/7, 2\/15, 0, -0.019, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*1*sqrt(408))\/(2*sqrt(12)*-5))\/(-2*(sqrt(2) - (sqrt(2) - sqrt(8)) - sqrt(2)) - 1*sqrt(18)).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 + -46. What is the second derivative of 3*s**3 + 468*s**2 - f*s - 468*s**2 wrt s?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (5 - 4)*-1. Let k be (q + 0)\/(44\/(-16) - -3). Solve t + 4*n - k = 0, 10*n = -3*t + 5*n - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.22 + 0.08. Let d = -66\/7 + 521\/56. Let j = -4807.9 - -4807.9. Sort j, l, 4, d in ascending order.\nAnswer: d, j, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**3 - y**2 - y + 5. Suppose 5*w - 2*a + 11 = -1, -4*w - 12 = -4*a. Let g(x) = 7*x**3 - x**2 + 11. Let h(s) = w*g(s) + 5*f(s). Calculate h(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.162 or 1614?\nAnswer: 1614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 9*v**2 + 6. Suppose 0 = 6*w + 5*w - 55. Suppose 6*d = -11 + w. Let h be (d - (-3 + 1))*(-10 + 1). Determine a(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -51. Let x = -782 - -856. Calculate the remainder when x is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 23*w**3 - 4*w**2 + 4*w - 7. Let d(h) = h**3 + h**2 - h. Let o(z) = 4*d(z) + p(z). Differentiate o(s) wrt s.\nAnswer: 81*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 312 - 309. Which is the smallest value? (a) z (b) -9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvop when four letters picked without replacement from pvpptzpvotpztzp.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w = 23*w - 60. What is the remainder when w is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/6)\/(3*3\/(-54)). Solve -5*n = 4*b + i, 2 = 2*b - b - 3*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*x + 180 = -437 - 133 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4468639065.\nAnswer: 3, 5, 11, 23, 1177507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 102145?\nAnswer: 102144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i, -2*i + 15 - 3 = -2*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/5)*z**4*z*z)\/(z**(1\/9)*z\/z**(-6)))\/((z\/(z\/(z*z*z**(-1\/6)))*z*(z**(-2)*z)\/z)\/((((z**(-2\/7)*z)\/z)\/z)\/z*z*z*(z**6\/z)\/z)) assuming z is positive.\nAnswer: z**(1241\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**6\/180 - r**5\/6 + 25*r**4\/18 + 394*r. Factor n(s).\nAnswer: s**2*(s - 10)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y - 2. Let o(n) = -n - 1. Let m(s) = -2*o(s) + w(s). Let x be (-217 + -3)*2*(-44)\/16. Let r(q) = -18*q + 1210 - x - q. Determine r(m(a)).\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 - 901848*i - 117252915\/2.\nAnswer: 3*(i - 601297)*(i + 65)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1029 - 7215\/7. Let i = 4041 - 24163\/6. Find the common denominator of i and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 100111?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30112366?\nAnswer: 2, 15056183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*q - q + 19*q)*(q**3 - 2*q**3 - 3*q**3) to h*q**3 + s + l*q**4 + g*q + a*q**2 and give l.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 145*y - 10 = 141*y - 293*y, 2*h - 33 = -y for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004165833 rounded to 7 dps?\nAnswer: 0.0000417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9483210, 9483209, 9483208, 9483207, 9483206?\n\"Answer: -i + 9483211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/7 - 474*q**4\/7 - 31398*q**3\/7 - 390814*q**2\/7 - 1154400*q\/7 + 1577088\/7 = 0. Calculate q.\nAnswer: -111, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 329016 by 70.\nAnswer: 164508\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 241.9999837 - 242. What is u rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -0.11 (b) 2 (c) -0.2 (d) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -6\/13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147 + -37. Is (-15)\/2*(-176)\/v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from vvvkwkwvk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 22.\nAnswer: -3, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s**(-3\/2))**(2\/27) assuming s is positive.\nAnswer: s**(-11\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7210.069 decades to years.\nAnswer: 72100.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l - 12 = 0. Solve -2 = 3*y + 3*c + 4, -2*y - l*c - 6 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = 4*z + 8, -z = -g + 5. Let n be 2\/(-28)*(-1 + -3 + g). What is the third smallest value in n, 0.5, 0, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*-1 + 2 + -1. Let v(s) = -5*s - 4. Let u(a) = 8*a + 8. Let t(f) = 6*u(f) + 10*v(f). What is the units digit of t(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unnnnuu. Give prob of picking 2 u and 2 n.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 891281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4*u = 0, 3*u = -3*t + 7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(20\/(-12)) - (-886)\/10. Suppose 3*m - 8 = x. Calculate the highest common divisor of m and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 18*u - 53. Give o(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 422292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23141 in 375, 1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 1. Let j(l) = 10*l + 6. Let o(s) = -6*f(s) + j(s). Let y(a) = 26*a**2. Calculate y(o(x)).\nAnswer: 416*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 - 1175*z**3 + 2365*z**2 - 1185*z.\nAnswer: -5*z*(z - 1)**2*(z + 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 702*g**3*i**2*v**3 - g**3*i**2*v*x + 13*g**3*i*v - 2*g**3*v**3*x**2 + 4*g**2*v**2*x**2 + 3*i**2*x**2 wrt v?\nAnswer: 4212*g**3*i**2 - 12*g**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/11 - 135604*u**3\/11 - 2298419994*u**2\/11 + 417931528*u - 208971928 = 0. Calculate u.\nAnswer: -33902, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q\/q**(-24))\/q))\/q)\/q*q)\/(q*q\/(q\/q**27)) assuming q is positive.\nAnswer: q**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(85) + sqrt(85)*1)*6 - 1*sqrt(85)*2))\/((sqrt(60) - (sqrt(60) - (sqrt(240) + sqrt(240)*2)))\/(sqrt(60)\/sqrt(5)*-6 - sqrt(12))).\nAnswer: -140*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17.3 and -0.057.\nAnswer: -0.9861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3499?\nAnswer: 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71162 or -2\/32245?\nAnswer: -2\/32245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 802a5 (base 11) to base 2.\nAnswer: 11100101011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 708 and 279.\nAnswer: 65844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*h - 189*h = -o - 5, 5*o - 5*h = 20 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -33. Let q(b) = -3*b - 48. Let y be q(o). Let n be (-1)\/(-6) + y\/18. Solve 0*x - 4*x = n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -106 in -2\/9, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*n - 269 - 67 = 0. Let d be (-1 - -7)*(-16)\/(-24). Solve -n = -d*h + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**4 - 100828*g**3 + 173312780*g**2 - 72202211172*g + 72028999224 = 0 for g.\nAnswer: -26846, 1, 819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 1\/(-1) + 3. Suppose i = g + 2 - 8. Let m = -4 + g. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -884190 = 4*l - 34*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 7:11 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 72 = -8. Let r(z) = -2*z - 4. Let f be r(-7). What is the greatest common divisor of f and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6497 + 3*t - 6497.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f + 9. What is p(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/7)*f)\/(f\/(f\/(f*f*f**(-3\/2)*f))))**(-4) assuming f is positive.\nAnswer: f**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/2 of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82319940 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 431, 1059, 2033, 3497, 5595?\n\"Answer: 24*y**3 + 29*y**2 + 373*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452, -921, -1404, -1907, -2436, -2997?\nAnswer: -3596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*r**2 + 34 + 38 - 99 + 30 to q*r + g + v*r**2 and give v.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1139105487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 37193*d + 297538. What is m(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29074198 and 20758.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 322 - 23*k**2 + 227*k**2 + 321 - 643 as v*k**2 + b + j*k and give v.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 11:12 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2.424392g?\nAnswer: 0.002424392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(4\/5)*h*h**(-2\/99))\/(h**(-2)\/((((h\/(h\/(h*h**(-1\/7))))\/h)\/h)\/h)))**(-13\/6) assuming h is positive.\nAnswer: h**(-45877\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 967.1 + -967. What is the second smallest value in f, 5, 0.204?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 9. Let d(z) = 55*z**2 + 7*z + 127. Let s(i) = 28*i**2 + 3*i + 64. Let h(w) = f*d(w) + 5*s(w). What is the derivative of h(n) wrt n?\nAnswer: 60*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**4 - 51*i**3 - 3*i**2 + 3?\nAnswer: -96*i - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/50)\/(68\/136)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 5) to base 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.9 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/13))\/n*n*(n*n**10)\/n*(n**(1\/3))**(2\/35) assuming n is positive.\nAnswer: n**(15251\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 34 - 28)*(-4*u + 4*u - u).\nAnswer: 56*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -110200000 (base 3) in base 7?\nAnswer: -35631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95066*b - 95055*b = -5*p + 143, 0 = 4*b + p - 34 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/13 + 1\/52. Let i = 3.6 + -3. Let f = i - 0.5. Which is the biggest value? (a) h (b) f (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1))**(-43)\/(l*l*l**(1\/3))**(-1\/2) assuming l is positive.\nAnswer: l**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1266 + 2376. Suppose -3*p + k = -0*v - 3*v, p + 4*v - 395 = 0. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3413.7 * 4\nAnswer: -13654.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 26*y - 6. What is q(-7)?\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(3 + (-9)\/3). Suppose 2*x + 4 = d, -2*q - 3*x = -6*q + 226. Calculate the highest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-4)*i))**13\/(i\/(i*i\/(i\/i**(2\/13))*i*i))**20 assuming i is positive.\nAnswer: i**(1067\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 7\/3*p**4 + 2\/3*p**3 - 2\/3*p + 7\/3*p**2 = 0. Calculate p.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 2 w when four letters picked without replacement from {i: 1, u: 1, w: 2, r: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 20*t**2 + 34*t - 165. Calculate h(-20).\nAnswer: -845","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.467 + -0.46699813. Round p to seven dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135356 (base 10) in base 3?\nAnswer: 2010200102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10974?\nAnswer: 2, 3, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 2:42 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4979 + -39769\/8. Let u = 62\/539 - -54401\/9702. Find the common denominator of u and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*p - 4)*(-1 + 1 + 1)*(-2 + 3 + 2 + (2 - 1 - 2)*(0 - 3 + 2)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3794, -29, 4, -4, -11 in decreasing order.\nAnswer: 3794, 5, 4, -4, -11, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 55 = -7*k. Let u = 21 + k. Calculate the greatest common divisor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - -0.1. Let z = -10.36 - -3.24. Let w = z - -9.12. What is the biggest value in h, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21656758*k**2 + 2096143?\nAnswer: -43313516*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 483, 480, 477, 474, 471?\n\"Answer: -3*d + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 = 3*u - 76. Let c = -4 + 4. Suppose c = g + 3*g - 104. Calculate the greatest common divisor of u and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2. Let y(c) = 12445*c**2 - c - 8. Give y(k(n)).\nAnswer: 12445*n**4 + n**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369943 is divided by 369943?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.04 + -54.04. Let t = n + 55. Let v = -8 - -4. Which is the smallest value? (a) v (b) -4\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7772011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -429 + u**2 + 0*u - 15*u + 420. What is the tens digit of s(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14722250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 79738507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1*z*z\/(z**(-28)*z*z*z) assuming z is positive.\nAnswer: z**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l - 1. Let n be o(-1). Let u(x) = -n + 1 + x + 3 + 1. Give u(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 896134026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 13*u**2 - 14*u - 41. Let n be z(13). Let p = -220 - n. Solve 13 = 2*i - 3*x, x = i + i - p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 3 + u**2 + 5*u + u + 0*u. Let d be o(5). Suppose 17 = 5*v - d*q, -4*q - 14 = -3*v + q. Solve 2*a - 2 = v*p, 4*a - 2*p - 7 = -3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -711.9 + 711.89. Let l = -6134 - -6133.9899736. Let p = l - v. Round p to 6 decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080802857 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from {t: 2, k: 7, v: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3663, -3769, -4065, -4647, -5611, -7053, -9069?\nAnswer: -11755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2. Let c(x) = -260840*x**2. Calculate c(q(w)).\nAnswer: -260840*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**6\/45 - 7*n**5\/30 + 11*n**4\/18 - 5*n**3\/9 + 6*n - 42. Let f(m) be the first derivative of w(m). What is t in f(t) = 0?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276880, 276879, 276878, 276877, 276876?\nAnswer: 276875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1774 in -5, 3, -1, 0.03, -40, -0.3?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -46723700 and 4.\nAnswer: -46723696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.91 - 0.09. Let g = m - 8. Let x = 8.94 + g. Round x to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3336*z + 105199 = -8225 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*q**2 + 5613*q - 3 - 2873*q - 2738*q as k*q + g*q**2 + d and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by -595.\nAnswer: -81\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21714 and 42.\nAnswer: 21714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1515308 and 8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/c**(3\/19)*c))\/((c\/c**(-22\/5))\/c))\/(c**(-1\/3))**50 assuming c is positive.\nAnswer: c**(2971\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 23. Let d(u) = 9. Let i(x) = -3*d(x) + k(x). Let b(p) = -p - 3. Calculate -4*b(t) + 3*i(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 0)*(-2 + 2 + 2*b) + 4*b + 0*b - 2*b - 9*b + 20*b + 3*b - 2*b + b + 0*b + (-3 + 7 + 9)*(3*b - 3*b - 2*b) to the form s + t*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 66.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 33 - 9 = 0. Suppose -5*r - 2*w = 8, -t*r = -2*r - 3*w - 12. Solve z = -j - 2 + 11, r = 5*j - z - 21 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14377 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5071005, 2, 1\/3.\nAnswer: -5071005, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*sqrt(228))\/sqrt(12) + 0 + -4 + -4.\nAnswer: -8*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2666 + 2666. Let z = -6.4 + 6. Which is bigger: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6200 - 1326 = 0. Let o = -966 - i. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(187)\/sqrt(44) + 5*(sqrt(17) + 1)*-3)*6.\nAnswer: -87*sqrt(17) - 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*g = -2*g - 4, 0 = -i - 2*g - 2. Let b be 1\/(1\/(i - -13)). Find the second derivative of 4*z - 5*z - b*z**3 + 11*z**3 wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -665\/39 + 50\/3. Let f = -20\/53 - -213\/424. Put 1, i, f in decreasing order.\nAnswer: 1, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**2 - f. Let z be o(1). Suppose 3*n = 23117*k - 23118*k + 14, -3 = -3*k + 4*n. Let b(w) = 6*w. Let s(h) = 4*h. Give k*b(d) + z*s(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*d + 25. Does 4 divide (-3)\/6 - (565\/d - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-5))\/4)\/(14\/175).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3507397 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 - 1381670979?\nAnswer: -1381670787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 1 - 1)*(-6 + 7 + 10)*(5 - 2*m**2 - 5) - 2*m**5 + 2 - 2.\nAnswer: 20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -8*x - 4. Let k be j(-1). Let i be 6\/k + (-143)\/4*-6. Solve -56*o**4 + 6*o**5 + 54*o - 1041 - i*o**2 + 99*o**3 + 81*o**3 + 1041 = 0.\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16294 + -17633. Sort 2\/3, r, -4 in increasing order.\nAnswer: r, -4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -110 - 3*x - 62 - 57 + (4*x - x - x)*(-2 + 5 - 4).\nAnswer: -5*x - 229","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 8. Let k be n(-6). Suppose 2*y - 15 = -3*w, -k*w - 100 = -5*y + 3*w. Which is bigger: y or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -218353, -436708, -655069, -873436?\n\"Answer: -3*l**2 - 218346*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26 or -4181?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -264 (b) -4\/3 (c) 17 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from sbbbbbsmbsbsmbbssbb?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 2*l**2 - 9*l + 6. Let i be b(2). Let p(m) = m**3 + 2*m + 4. Let x(d) = -d**3 - 2*d - 3. Give i*p(o) + 5*x(o).\nAnswer: -o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 5:38 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -9. Let k be (-1*2)\/2 + 46. What is the greatest common divisor of t and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/48 and -25\/231.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + 70\/(-7) + 5. Let v(g) = -g**2 + 5*g - 5. Let z be v(5). Sort x, 0, z in descending order.\nAnswer: x, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**2*u**3 - 4*a**2*u + 3*a*u + 15*u**5 - 3 wrt u.\nAnswer: -24*a**2*u + 300*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*s + 11 = 0, 3*g - 1 = 2*s - 8. What is the tens digit of (g - 2) + 15 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**3 + 5*i**2 - i - 3. Let d(t) = t**3 - 3*t**2 + 4. Let b be d(3). Is y(b) 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 {q: 5, a: 3, m: 2}. Give prob of picking 2 q.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -346 by 951.\nAnswer: -346\/951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -50. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 6*c - 4. Suppose 2*w - 30 = 5*n, -4*w + 23 = 3. Let d be q(n). Find the first derivative of 6*r**4 - 3 - 12*r**d - 2 wrt r.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/120 - v**5\/30 - v**4\/8 + 2*v**3\/3 + v**2. Let p be z(3). Suppose -3*y = -3*g + p*g - 234, 5*g + 15 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 1116*o + 192245*o**2 + 3 + 63*o - 193161*o**2 - o**3 wrt o?\nAnswer: -6*o - 1832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 914 + -101.41634\nAnswer: 812.58366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**3\/3 - 3*h**2. Let c(x) = 5 - 4*x**2 - 2 + 5*x**2. Calculate 2*c(q) + 3*m(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 5*p**7\/42 + 7*p**5\/15 + 11*p**2. Find the third derivative of j(r) wrt r.\nAnswer: 600*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1365, -1367, -1369, -1371, -1373?\nAnswer: -1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21914 is divided by 4251?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.5 + -23.37. Let p = -1.23 + o. Sort p, -2, 0.4 in ascending order.\nAnswer: -2, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 96*o**2 - o + 5. Let j be c(-4). Suppose -43*h - j = -48*h. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avv when three letters picked without replacement from sssssaakavsaskkvkv.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -129, -201, -291, -393, -501, -609?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -9*y + 2. Let j be b(9). Calculate the common denominator of -29\/3 and j\/(-10) + 15\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2501 is divided by 1246.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/345136 and 21\/226.\nAnswer: 39000368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 28\/15*u**5 + 0*u + 5\/3*u**4 + 116 - 64\/9*u**3 + 8\/3*u**2. Find b such that x(b) = 0.\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*g**5 - 171*g**4 - 23*g**2 + 171*g**4 - 4*g**5 wrt g?\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31.881 in -0.1, -34, -12?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -25*q + 390. Let l(n) = 29*n - 393. Let m(k) = -4*g(k) - 6*l(k). Differentiate m(t) wrt t.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.385, -8.3, -5, 21 in decreasing order.\nAnswer: 21, 0.385, -5, -8.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531035264 a multiple of 19086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141107, -282185, -423263, -564341, -705419, -846497?\nAnswer: -987575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = 3*t + 12*y + 27, -2*t = -y + 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5213*k**2 + 0.\nAnswer: -5213*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 1. Suppose -155 = 11*u + 109. Suppose 45 = 5*k - 3*l - 2*l, 26 = 3*k - 2*l. Let c(f) = 0*f + 2*f + 5*f + k. What is u*j(r) - 3*c(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = r. Let s(y) = 2*y + 2 + 3 - r + y. Let o be 6 + -3*(-3 + 4). What is s(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) -0.4 (c) 4\/9 (d) -2\/13 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16908 + 4666481\/276. Find the common denominator of -61\/207 and p.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6400 divided by -4?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64558890 or -64558892?\nAnswer: -64558890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-4)\/7 - 702\/(-1008))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7*h - 9 = g, -4*h + 19 = 5*g. Solve -9*k + 10 = -g*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 + 29 - 4*l**3 + 6*l**3 + l**2 to p*l**2 + h + i*l + y*l**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**3 + 435*q**2 - 12375*q + 115625 = 0. Calculate q.\nAnswer: 25, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2382646555?\nAnswer: 5, 43, 83, 133519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 71951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 14*b + 49 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*p - 3 = 0, 0*n + p = -3*n + 21. Let m = n + -1. Let x(s) = s**3 - 4*s**2 - 6. List the prime factors of x(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -951.41520926 and -5?\nAnswer: 946.41520926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11127\/22 or 507?\nAnswer: 507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4724 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-578)\/(-18) - (-19)\/(-171). Let f be (-2)\/(3 + 14\/(-4)). Suppose -20 - m = -f*j. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n + 3. Let f(k) be the third derivative of k**4\/12 - k**3\/3 + 18*k**2. Determine 5*f(p) + 3*y(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6642803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 - 5.1. Let m = -2.19 + 0.19. Sort u, m, 0.4, 4 in ascending order.\nAnswer: u, m, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5787 + -4595. What are the prime factors of x?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.368 - -0.068. Let z = 5 + i. What is the third smallest value in -5, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*k - 21945 = 173*k + 1448*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -19. Is 878\/4 + 9 + 90\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 20660767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206631.\nAnswer: 3, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**2*c*c*c**(-18)*c\/c**(-16)*c*c*(c**5\/c)\/c assuming c is positive.\nAnswer: c**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34e (base 15) to base 9\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(95) + (sqrt(95) + (sqrt(95) - sqrt(95)*-1))*-5)\/(1*sqrt(15)\/sqrt(3)) + 0)**2.\nAnswer: 33516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45273.78um?\nAnswer: 45273780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 14) to base 9.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k - 16*k**2 - 126 + 126 - 8*k**2 to t*k**2 + i + a*k and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/10 + (-4)\/(-10). Let g = 6 + c. Let t(f) = -f + 6. Let m be t(6). Solve m*l = g*l + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-10) + (7470\/475)\/(-6) and 7\/10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 858988 and 72.\nAnswer: 15461784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 15. What is l(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1194055 * -0.6\nAnswer: 716433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 87d2 + 0?\nAnswer: 87d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64356?\nAnswer: 2, 3, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -34.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 34 - 8 - 2*d - 17 - 10. Let r(w) = w**3 - 4*w**2 - 3. Let g be r(4). Is l(g) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -742, -36, 0, -4, 3 in decreasing order.\nAnswer: 3, 0, -4, -36, -742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.7 + 4. Let b = 0.1 - t. Round b to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 3)*((5 - 1 - 2)*(-4*a + 4*a - 2*a**2) - 3*a**2 + 1 - 1) to b + o*a**2 + v*a and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 9) to base 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 231 + 5*g - 236 - 4*g. Determine q(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5\/5 + 58*p**4\/5 + 149*p**3\/5 - 186*p**2\/5 - 152*p\/5 + 128\/5 = 0 for p.\nAnswer: -16, -4, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -10131405?\nAnswer: -4052562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(608)*3)\/(5*(sqrt(32)*2 + 2*sqrt(2)*2)).\nAnswer: 12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -0.3. Let h = 4 - 3. Suppose 2*r + h = i, -2*r + 2 = i - 3. Which is the biggest value? (a) r (b) -0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1496 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 55, 24, -25, -98, -201, -340?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 1:36 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 85828, 85837, 85852, 85873, 85900, 85933, 85972?\n\"Answer: 3*j**2 + 85825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from ffzzf.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56353 and 26513311.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**7\/2520 - a**6\/720 + a**5\/60 - 2*a**2. Let u(k) be the third derivative of g(k). Differentiate u(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 0*k - 4*k + (-2 + 1 - 4)*(-k + 0*k + 2*k) - 308*k + 392*k + 505*k in the form s + g*k and give g.\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 8. Let l be f(8). Let c(h) = -4*h**2 + 6*h + 7. Let j be c(1). Sort -13, j, -5, l.\nAnswer: -13, -5, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 7 = -w, 3*y - 259 = 913*w - 849*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-42))\/((-1)\/(-1)). Let v = 63 - 62.6. Let i = v - 0.5. What is the closest to i in 1\/5, c, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1)*(66\/12)\/11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014023 to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*a + 19, 5*a + o - 17 = 3*o. Let f be (1\/3*0)\/2. Let q = f + 4. Solve -a - q = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0 - 0) + (14 - 18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -53401855?\nAnswer: -53401855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 325 by -13866.\nAnswer: -325\/13866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 101*a**2 + 77*a**2 + 88*a**2 - 249*a**2 + 2. Let i(h) = -68*h**2 - 9. Calculate -4*i(l) - 18*v(l).\nAnswer: -34*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (320\/(-50))\/(48\/(-15) + 3). Suppose -23*n - 477 = -x*n. Calculate the remainder when n is divided by 64\/10 + (-4)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 28 = -3*f, -36*v = -20*v - 15*v - 7*f + 22 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 - 29*l + 51. Determine o(8).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 + -90. Is -0.9 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -17*t**6\/30 + 5*t**2 - 17*t. What is the first derivative of a(s) wrt s?\nAnswer: -68*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1665, -3328, -4991?\nAnswer: -6654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, k: 1, e: 1}. Give prob of picking 1 e and 1 k.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*p = -54*p - 0 - 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2488 and -9949\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-660)\/385*42\/(-112).\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(1300) - 5*(sqrt(1300) + -1)) + sqrt(1300) + 2*(1 + sqrt(1300)))**2 - (3 + -1 + sqrt(1300) + -2)).\nAnswer: -150*sqrt(13) + 1346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -12*s - 173. Calculate r(-9).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 0.33, 25, -2, 2\/15, -71?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/27)\/((-2)\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 205.81105.\nAnswer: 411.6221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 (base 9) in base 6?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1671583*t - 1671517*t + 4620 for t.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 + -49. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 768*c**2 + 13400 - 13400 - c as f*c + n + v*c**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + 157\/((-6594)\/(-2856)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z. Suppose -4 + z = -l. Let m = 19 + -1. What is the smallest common multiple of l and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 141 + -132. Suppose 4*j - 4*z = 1304, g*j - 5*j - 1298 = z. Is j a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, f: 1}. What is prob of sequence fvvv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 153659, 307723, 461789, 615857, 769927?\n\"Answer: d**2 + 154061*d - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58242 and 60.\nAnswer: 582420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*z + z - 9 = 0, 12 = -b + 4*z. Suppose -3*d = -3*u + 2433, -b*d + 10*d = -4. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjj when three letters picked without replacement from {j: 2, c: 6, k: 1, p: 1, q: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 110621 and -0.5?\nAnswer: 110621.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8403, 16838, 25271, 33702, 42131, 50558, 58983?\nAnswer: 67406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 369, 1144, 2433, 4230, 6529, 9324?\n\"Answer: -o**3 + 263*o**2 - 7*o + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1387100 and 41800.\nAnswer: 52709800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97 - 53. Let j = -7 + 11. Suppose 0*c - j*c + h = 0. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - 76.99999957. Round s to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 47928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3470784*m**3 + 120*m**2 - 22*m + 170.\nAnswer: 20824704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -175 in -2, -22, 2\/15?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -300 != -1205\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/((-5)\/(-30)). Suppose h*g + g - 342 = 0. Suppose 4*d = -0*s + 2*s + g, d - 5*s = 6. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 2*w = 52, 5*n + 40 + 70 = 7*w + 58 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 11) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 + -49. Let d(x) = x**2 + 16*x + 13. Let g be d(-17). What is the remainder when z is divided by 14\/(-3)*g\/(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5598\/8 - (527\/68 - 4 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 4\/22 + 988\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - 12*u - 1. What is the hundreds digit of k(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.03 - 6.57. Is 0 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 325404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -237 + 236.9. Let u = 29 - 209\/7. Which is the third smallest value? (a) z (b) -4 (c) u (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, -2.97, -0.14, 0.4, -1\/23?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 2. Let j = -3 + 14. What is the lowest common multiple of j and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 54 + 23. Suppose 4*t + 4*b - 28 = 0, 4*b = -2*t + 7 + 7. What is the remainder when j is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 6832*c**2 + 1744170*c + 1751004.\nAnswer: 2*(c - 3138)*(c - 279)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0193 and 594941972.\nAnswer: 594941972.0193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3620 (base 7) in base 8?\nAnswer: -2471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015157333 a multiple of 1278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 98773871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/4 - 1217*i\/4 - 16065\/2 = 0.\nAnswer: -1190, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1 = -3*p. Does 15 divide 68 + -2 + 4\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 7*i**2 - 6*i - 6. Let x be ((-8)\/20)\/(3\/45). Let c(u) = -6*u**2 + 5*u + 5. Give x*c(l) - 5*h(l).\nAnswer: 5*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 174*a + 9. Determine j(1).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 413 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26 + -9?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q - 262 + 1074. Suppose -3*z - q + 95 = 0. List the prime factors of 681\/7 + 2\/z.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 + -1. Let u = 0.2 + -2. Let x = u - -1.4. What is the nearest to 1 in -5, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-27))\/(1\/(-1)). Suppose 36 = 2*v + 4*f - 1406, p = -5*v + 2*f + 3593. What are the prime factors of v?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/5)*p*p**3 assuming p is positive.\nAnswer: p**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5019.58 less than 7?\nAnswer: -5012.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 29560 divided by 1055\nAnswer: 5912\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -12. Let f = o - -19. Suppose -5*d**3 - d**4 - d**2 + 0*d**3 + f*d**3 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7833 and 3759?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyyyo. What is prob of picking 1 o and 2 y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 20*c**3 - 7*c**2 - 7*c + 6. Let m be j(-4). Let n = m - -2371. Suppose 329 - n = -9*l. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-21) - (-43140)\/(-266). Let p = 162 + s. Which is the smallest value? (a) p (b) 7 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -16. Calculate the remainder when r is divided by ((-6)\/8)\/((1 - 4)\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 26*v + 55. Let k(d) = -14*d - 30. Let y(r) = -11*k(r) - 6*m(r). Let i(b) = 3*b**2 + 182. What is y(i(t))?\nAnswer: -6*t**2 - 364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*y - 1 = 0, 29 = 2*b + y - 17. What is the first derivative of 3 + 3 + b*n**3 - 19 wrt n?\nAnswer: 63*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 374 + -179. Let o = j - 178. Calculate the remainder when 237 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3206399?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2314.924 rounded to the nearest integer?\nAnswer: -2315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (2 - -1 - 2108\/1). Does n = -2108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102 + -102. Which is the nearest to -2? (a) -1 (b) -2\/37 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 5*m + 12*m - 5 + 0*m**2 - 9*m. Let o(d) = 6*d**2 + 5*d + 14. What is -11*b(l) - 4*o(l)?\nAnswer: -2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 19*a - 262. Let m be u(14). Let c be (11 + 9 - -10)\/m. Solve -27*p + 12 - c*p**2 = 0.\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c - 40*c + 0*c**2 + 16*c + 0*c**2 - 8*c**2.\nAnswer: -8*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 9*c + 3. Let q be i(8). Let u = 10 + q. Suppose 0*n + u*n = 135. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 6:46 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77903 = -1485*d - 683 for d.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 12*d - 11*d - 4348, 0 = 4*g + 5*d - 4364. What are the prime factors of g?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1991)\/(-198) + 8\/24*-30?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -10 - 17 - -1 - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -16. Let p be q + (-3)\/(84\/88). Sort p, 2\/5, -4 in decreasing order.\nAnswer: 2\/5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 643*q. Let g(v) = -253*v + 217. Let b(s) = -49*s + 42. Let h(t) = -31*b(t) + 6*g(t). Give h(n(y)).\nAnswer: 643*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.966 plus 1896?\nAnswer: 1888.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 21*v - 12. Determine k(-6).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 - 60. Let d be ((-10)\/2)\/((-1)\/(-5)). List the prime factors of (-360)\/d + (-2)\/i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 - -121120002212000?\nAnswer: 121120002220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24524826 by 3.\nAnswer: 8174942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzrs when four letters picked without replacement from {w: 5, s: 4, z: 2, j: 7, r: 2}.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32951997.\nAnswer: 3, 13, 281641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 6*l - 2. What is the units digit of q(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -2\/21 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -17*f + 30. Let k be x(4). Let b be (-516)\/6*5\/10. Which is smaller: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 7234, 2, 1\/123, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1399194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 584 by 3.\nAnswer: 584\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/90*(13671\/(-784))\/(-31)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1309738900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*h = -h - 7, 4*m - 2*h = 34. Suppose -34 - m = r. Let n = 23 - r. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.698377 centuries to millennia.\nAnswer: 0.0698377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-896)\/6*(-24387)\/56903\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 488.4422 microseconds?\nAnswer: 0.0004884422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/855 + 1424\/855. Which is the second biggest value? (a) -232 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 4*v**2 - 2*v - 1. Let t be (1\/(-3))\/(4\/1044*-3). Suppose 0 = -3*s + t - 23. Determine l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -10*d - 2. Let h be ((1 - (-68)\/(-8)) + 1)*-4. Let o(g) = 0 + 1 - 23*g + h*g. Calculate 2*m(u) + 7*o(u).\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222221 + 112022212?\nAnswer: 111022221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**4\/2 - 8*i**3 - 45*i**2 - 100*i - 622. Find r, given that p(r) = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5 + 0 + 0*l - 3*l. Let k(c) = -c + 2. Suppose 2*r + d - 7 = 0, 0 = r - 5*r - d + 15. Suppose x = 2*x - r. Give x*s(n) - 10*k(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 13*f**2 + 14*f + 5. Let l be n(14). Suppose 10*i - 5 = l*i. What is the nearest to -2\/3 in i, -5\/3, -3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3625 divided by 125.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 3. Let q(r) = -1943*r - 174. Let c(b) = q(b) + 58*y(b). Let v(d) = -2*d**2. What is v(c(p))?\nAnswer: -7106450*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142200, -142205, -142210, -142215?\nAnswer: -142220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88054 is divided by 17389?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 551*q**5 + 25*q**4 - 47*q**4 - 4*q**3 - 550*q**5 + 88*q**2.\nAnswer: q**2*(q - 22)*(q - 2)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.14 + 0.04. Let q = p + 28. What is the nearest to 0.2 in 11, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 * -2.28\nAnswer: -2.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -942, -950, -972, -1014, -1082?\nAnswer: -1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - 1*sqrt(156))*-2)\/(sqrt(108)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 - 32. Let p = -34 + b. Is p greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -20725.\nAnswer: 20724.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -42228001, 0.1?\nAnswer: -42228001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooootootot. What is prob of sequence oto?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 450936492 a multiple of 3864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - (9 - (1 + 9) - 7)) + 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a29c5 (base 14) to base 4.\nAnswer: 1133212201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*d**2 + 60*d**2 + 67*d**2.\nAnswer: 89*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(1452\/99)*(-6)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -641995 divided by -5\nAnswer: 128399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 7 + (-1 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 1) + (-1 - 1). Let k(x) = x - x - x + b. Let v(h) be the first derivative of -4*h**3\/3 + 4. Give k(v(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6)*(-483)\/(-14). Suppose s*m = 24*m - 16. Suppose 9*v = m*v - 1456. Does 36 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*sqrt(143) + sqrt(143))*-2*-5)\/((sqrt(1100)*1 - sqrt(1100)) + -6*sqrt(11)*-1).\nAnswer: -5*sqrt(13)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -20 (b) 0 (c) 2\/65 (d) -0.02 (e) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -412556 (base 8) to base 9\nAnswer: -227281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 6, -212, -646, -1350, -2378, -3784, -5622?\nAnswer: -7946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5\/4, -549 in decreasing order.\nAnswer: 5\/4, -6, -549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 539355.63492158?\nAnswer: 539355.53492158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -6*(2 - 4). Solve 4*r + 5*n = -0 + j, -n = -5*r + 26 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2355 divided by 9\nAnswer: 785\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 107383*d*i**3*v**2 - 8*d*i**3 + 3*d*i**2 + 3*d*i*v**2 + d*i - 116258*d + 7*v wrt v?\nAnswer: 214766*d*i**3*v + 6*d*i*v + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 6*c + 5. Let w be d(3). Suppose 2*l + 4 = h, 2*h - w*l = 6*h - 42. Let u = -5 + h. Solve -u*y + 2*y = -5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 1\/30*i**5 + 0*i**3 + 0*i + 0 + 1\/24*i**4 + 1\/120*i**6 - i**2. Solve k(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/18032 and -97\/2392.\nAnswer: 234416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1997*j*q**3*r**2 - 2*j*q**3*r - 29*q**3*r**2 + r - 9666 wrt r?\nAnswer: 3994*j*q**3 - 58*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336185, -338053, -339921?\nAnswer: -341789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116804 is divided by 372?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 13*b**2 + 3*b - 24. Let l be t(-14). Suppose -z = -l - 757. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*l - 31 + 137, -4*g - 3*l = -200. Let n be (6\/(-5))\/((-3)\/(-10)) - 0. Calculate the remainder when g is divided by (-1 - -19)*((-16)\/6)\/n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 37, 0.2, -3, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -907 and -905 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3254, -3378, -3584, -3872, -4242, -4694, -5228?\n\"Answer: -41*y**2 - y - 3212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Let h = q + 0.2. Let v(z) = -z**3 + 17*z**2 - 16*z + 4. Let d be v(16). Which is the nearest to -2\/3? (a) d (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -q + 3*q - 700, -140 = -d - 4*q. Suppose 400 = 2*h + d. Let b = -29 + h. List the prime factors of b.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -299415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3063000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 + 0*r**2 + 2*r**2 + (-2*r - 2*r + 5*r)*(-101 + 101 + 24*r).\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-1)*n)\/n*n)**(-5\/13))**48\/(n**7*n\/(n*n**(-4))*(n**(1\/3)*n)**30) assuming n is positive.\nAnswer: n**(-903\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-9) - -3)*(8 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l - 7002. Let i(u) = -4*u - 6903. Give -5*g(b) + 6*i(b).\nAnswer: b - 6408","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z\/(z*z\/(z**(-12)*z)*z)*z)\/z)\/(z*z\/(z*z\/(z\/((z\/(z\/((z\/z**(3\/7))\/z)))\/z))*z)))**(-1\/41)\/(((z\/z**(-1\/3))\/z)**(-33))**4 assuming z is positive.\nAnswer: z**(12715\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + o**2 + 8*o**4 - 11*o**4 - 4*o**2 to m*o**4 + p*o**2 + t + c*o + k*o**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 10:58 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/6)\/8*6\/(-1). Let z(y) = y**2 - 3*y. Let v be z(4). Let n(k) = k**3 - 2*k**2 - 8*k + 2. Let o be n(v). Sort 5, c, o, 1 in decreasing order.\nAnswer: 5, c, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = 2*l, -5*b + 182 = -l. Suppose -125*i = -107*i - b. Find g, given that 3\/5*g**i + 3\/5*g**3 + 0 + 0*g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2120 and 7298312.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(5*l - l + l)*(-4*l + l + 0*l).\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -128*i. Let q(b) = -67327*b**2. Calculate h(q(c)).\nAnswer: 8617856*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2*(-2)\/(-8)). Let g(b) = -83*b**3 + 0 + 4*b**2 + 84*b**3 + 2 + 3 + 3*b. What is g(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.931145 centuries in decades?\nAnswer: 59.31145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d - 3 = -34*d. Is 10 a factor of 51\/(-12)*(-40)\/(d - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 5*p + 17, -297 = 5*n - 3*p - 245 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/42 and 17\/15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3484767 is divided by 696907?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3*f + 0)*(6*f - 4*f - 3*f - 4*f + 2*f + 3*f + (-1 - 4 + 4)*(-f + 1 - 1) + 4*f + 8*f - f)*(-4 + 1 + 2) in the form k*f**2 + o + x*f and give k.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3077 divided by -1.\nAnswer: 3077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + d**4 - 2*d**4 + (-d**2 + 3 - 3)*(-2 - 2*d**2 + 2) - 5*d**2 + 2*d**4 - 2*d**4 - d**4.\nAnswer: 2*d**4 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 302 = 38*s - 59 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-414)\/(-21) - (-6)\/21. Let p be (-5)\/((-75)\/(-261)) - (-6)\/15. Let o = p + w. Let z(k) = -2*k**2. Determine z(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 25786 = -u, -38*u + 128944 = -33*u + 3*b. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.04362 micrograms to grams.\nAnswer: 0.00001904362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 20*t**2 - 30*t + 3. What are the prime factors of h(16)?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10 + -4 + 6\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801187 is divided by 1993.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u**3)*u*u)**(-46) assuming u is positive.\nAnswer: u**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/28 and 83\/89362.\nAnswer: 178724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 4*w - 15. Give b(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35218 is divided by 5867?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 150 = -5*d, 31*d = 26*d + x + 120. Suppose -2492400 = -6*k - d*k. Round k to the nearest one thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 4*q + 4. Let t be y(-3). Solve 4 = -4*f, -t - 3 = 5*g + 4*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (23 - -48 - -3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 33338270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7954580791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.84333cm to meters.\nAnswer: 0.8784333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -11*k**4\/24 + 11*k**2. Let d(m) = 15*m + 4. Let s(t) = 78*t + 21. Let r(y) = 21*d(y) - 4*s(y). Determine r(i(c)).\nAnswer: -33*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50700593?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -18. Let g be (1\/n + 4)\/(6\/8). Suppose 395 + 105 = g*q. What is the highest common divisor of 25 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -62 divided by 288599?\nAnswer: -62\/288599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000926 rounded to five dps?\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 8*l - 108. Let m = -62 + 115. Calculate the remainder when m is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3.5. Let w = 482 - 853. Let n = -371.01 - w. Which is the fourth smallest value? (a) 2 (b) 0 (c) n (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -2)*(2 - 1). Let w be (-9 - -9)\/(2 + -6). Solve -q + d + 2 = w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0, -41\/3, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.5, 0, -41\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1010001 (base 2) to base 5\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 8*z**4 - 4*z**2 - 4*z**2 + 2*z**2 + 4*z**2 to the form b*z**3 + m*z + o*z**2 + n*z**4 + g and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1062 + 64*g - 38*g - 1062.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19027, 19022, 19013, 19000, 18983?\nAnswer: 18962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/(2\/(8 - 104\/26))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(42\/193) - 92\/(4968\/486)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 5*p + 5*p + 23)*(p**2 + 163 - 163).\nAnswer: p**3 + 23*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 12*v - 17*v + 15, 4*j - 5*v = -14. Put j, -46, 1 in decreasing order.\nAnswer: 1, j, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3228)\/(-36) - (2\/3 + 0).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -826, -828, -830, -832?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -143 - -145. Let o = -90 - -634\/7. Which is the biggest value? (a) o (b) -7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + 341. Suppose y = 4*l - 0*l. Calculate the remainder when l is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/11 + (-365)\/(-30)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1\/(3\/(-12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/69 and 61\/9.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002861 rounded to 4 decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1201, 4670, 10405, 18406, 28673, 41206?\nAnswer: 56005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -14 - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**3 + 5*i**2 - 6*i + 54. Let f be u(5). Calculate the common denominator of (-219)\/36 + -1*2 and 119\/f + 47\/2 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -8*j + 7. Suppose -5 + 3 = -r. Let t be r\/(4 + -2) + -5. What are the prime factors of y(t)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4677648 is divided by 162.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 9*q - 15. Is a(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -345647, -690885, -1035713, -1380131, -1724139, -2067737, -2410925?\nAnswer: -2753703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1649, -5973, -13179, -23267, -36237, -52089?\n\"Answer: -1441*y**2 - y - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**2. Suppose -5*w = -2*m - 17, 69 + 30 = -4*m - 3*w. Let a be m\/(-35)*5 - (2 - -2). Determine d(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -76*d**3 + 8*d**2 - 14*d + 45. Let z(g) = -25*g**3 + 2*g**2 - 4*g + 15. Calculate -2*f(s) + 7*z(s).\nAnswer: -23*s**3 - 2*s**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 3\/4 (b) 1 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*d + 5 = 0, -4*d - 3 - 4 = 3*m. Let g be (-4 - (-21)\/6)*14. Put 2, g, m in increasing order.\nAnswer: g, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s - 15*s + 57*s = 1014 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4673*t + 4659*t = -70 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 138, -2.\nAnswer: -2, 3, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16028853 is divided by 62?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61067757\/629 + 2\/(-37) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21109453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(85*f + 14*f + 93*f)*(-2*f**2 - 2*f**2 + 5*f**2).\nAnswer: -192*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = 6. Let n(f) be the second derivative of 0 + 1\/60*f**4 + 0*f**3 - 1\/10*f**2 - j*f. Let n(v) = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, g: 3}. What is prob of picking 2 g and 2 k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2)*-2)\/(-1). What is the tens digit of c\/(-15) + (-189)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 115 - -b81?\nAnswer: c96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.7845 - 0.0155. Which is the third smallest value? (a) -22 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9372038 to the nearest integer?\nAnswer: 3061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2243 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - (29 - 22 - 77). Solve -51 = -18*l + x for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238063 divided by 238063?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1\/5 (b) -33 (c) -0.39 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19469429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.441, 1\/5 in decreasing order.\nAnswer: 0.441, 1\/3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1539592 divided by -1726?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 672\/(-114) - (55 - 56)\/(1\/6)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - -2)*-1*9\/(-15). Solve -3*v - 2*v = -s*f + 17, 5*f = 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -76 (b) -4 (c) -0.5 (d) 0.43 (e) -5 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4688 + 4715 - 5*m**2 + 6*m**2 + 18*m. Calculate c(-9).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 179. Let m(n) = -2*n**2. Calculate m(x(w)).\nAnswer: -2*w**2 + 716*w - 64082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 7572 = -2*k. Let x = k + -878. Calculate the greatest common factor of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 11}. Give prob of picking 1 z and 1 v.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*w**3 - 407*w**2 + 20352 wrt w.\nAnswer: -96*w**2 - 814*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 336 = -308. Calculate the greatest common divisor of g and 345.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2\/19 (c) 2\/221 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2 + 4095*n + 838170 = 0.\nAnswer: -417, -402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 4*j - 48 = -0*j, -1433 + 1468 = 5*d - 3*j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 6*r - 32. Let d be (0 + r\/1)*8\/(-40). Let t = 1.58 - 0.08. What is the third smallest value in t, d, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15511145?\nAnswer: 5, 13, 127, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/70812 and 101\/111276.\nAnswer: 778932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**7\/6720 + q**6\/1440 + q**5\/960 + 3*q**3 + 6. Let i(b) be the third derivative of u(b). Factor i(g).\nAnswer: g*(g + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-7)*(913\/(-17347))\/((-8)\/532).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 48*x**2 + 95*x - 246. Let l be o(-50). Determine w, given that 5\/3*w**l + 0 + 0*w + 10\/3*w**3 + 5\/3*w**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 4, e: 6}. What is prob of picking 3 e?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*d - 49*d + 2820. What is the smallest common multiple of d and 135?\nAnswer: 6345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1946660987 to the nearest integer?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.646511906 to 5 dps.\nAnswer: -0.64651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 13*n**3 + 10*n**2 - 42*n - 50. Let c be y(8). What is the highest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/294*-5*9\/((-540)\/112).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 72 = j. Let p be (-66)\/(-36) + (-3)\/j. What is the units digit of p - (-2 + -64) - (-2 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1094*y - 2227*y + 1107*y + 728 = 0 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210201101121 (base 3) to base 5.\nAnswer: 102134410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 153 = 11*g. Let j = 80 - g. Suppose j = s + 13. What is the remainder when 45 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2 = 4*w. Let x(b) = b**3 - 9*b**2 + b - 9. Let d be x(9). Let l = d + 1. Solve w*g + 5 = -l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -167, -134, -93, -44, 13, 78?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 8*w - 8. Let u be j(5). Suppose 0 = -7*k + u*k + 40. Solve 0 = 4*m + k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 46\/6*(-129)\/(-172) + -6. What is the third smallest value in g, 1, 2\/269?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2. Let u(c) = -4*c - 3. Let f(o) = 5*o + 4. Let x(n) = -3*f(n) - 4*u(n). Determine x(d(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -2)\/(4\/(-4)). Let h = -20.1 + 20. Sort p, -0.2, h in increasing order.\nAnswer: -0.2, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 557*h*l**5 + 9*h*l + 2300*l**6 + 3*l**2 + 35 wrt l.\nAnswer: 33420*h*l**2 + 276000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -77747 + -2794?\nAnswer: -80541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 1 - (-102231)\/(-144). Let z = g - -710. Calculate the common denominator of z and ((-194)\/(-24))\/(8\/(-6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5162 is divided by 1688?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 9:15 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 23946 = 2*f, 42*x = 3*f + 40*x - 35921. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 494371.3 millilitres?\nAnswer: 494.3713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*t + 39*t + 382*t + 68640 = -774*t for t.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(70\/4)\/5. Suppose -10 = -2*h + l*z - 2*z, -5 = -h - 5*z. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 8 + -12 + 11 + 7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 10. Let l be a(-7). What is p in 8*p**2 + 6*p + l*p**5 - 4 - 2*p**4 + p**4 - 3*p**4 - 8*p**3 - 2*p = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/30 and 157\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3122050 (base 7) to base 12\nAnswer: -161211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (51\/4)\/((-18)\/(-48))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**3 - 141*v**2 - 2000*v = 0.\nAnswer: -125, -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w + 59. Let g be t(8). Suppose 0 = -p + g*i + 2985, -2*p + i = -7718 + 1738. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i + 2. Let v(n) = -3*n - 1. Suppose -16 = -4*b - 0. Calculate b*m(y) + 9*v(y).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2814, 5568, 8322?\n\"Answer: 2754*m + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f\/(f\/(f\/f**(-1)))*f)*f*f)**(23\/2))**(-3\/2))**(-1\/5) assuming f is positive.\nAnswer: f**(69\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/7*17\/34. Suppose 2*x = 6*x. Suppose 0*i + 2*i = x. Which is greater: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 78 + 67 = 5*v, 5*v + 25 = 5*p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1947268 divided by 4?\nAnswer: 486817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 714 and 9893 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 16*d = 338, -762*q - 50 = -766*q + 2*d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + o - 12, 5*t + 2*o - 116 + 146 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 223256*z - 223266*z - 10. Let j = -1733\/435 + 102\/29. Which is smaller: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 - 242*n**4 + 766*n - 5*n**3 + 493*n**4 - 250*n**4 + 3 in the form w*n**4 + i*n + f*n**2 + b*n**3 + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 17*g - 32. Let u be s(15). Let o(b) = -b**2 - 7*b - 1. Suppose 0 = 12*m - 7 + 91. Let l be o(m). Sort -5, u, l in ascending order.\nAnswer: -5, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-10))\/(5\/25). What is the remainder when 42 is divided by (-376)\/(-24) - l\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/14 + (-3690)\/252 + 13. Which is the second smallest value? (a) w (b) -58\/17 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -9*r - 20. Let d = -3 - -5. Suppose 3*o - 4 = -2*n, 3*n + 2*o - d - 4 = 0. Solve -2 = -n*k + r*p, 0*k - 3*k = 2*p + 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 8:59 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2266*s + 2394*s - 4489*s.\nAnswer: 171*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-51)\/(-6))\/((-19)\/(-8)). Let v = y - 749\/342. Calculate the common denominator of 13\/22 and v.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*v - 87*v - 134*v = -906 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 22. Suppose 3*f - 3 - 3 = 0. Put z, -5, f in decreasing order.\nAnswer: f, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30073 and 2659110.\nAnswer: 2689183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 88225, 88232, 88243, 88258, 88277, 88300, 88327?\n\"Answer: 2*m**2 + m + 88222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 2. Let l = f - 7. Let q(k) = k + 10. Let c be q(l). Calculate the highest common divisor of c and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1435*i + 2. Calculate q(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20460.6589891 - 20459.119. Let p = j - 1.54. What is p rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2778354?\nAnswer: 2, 3, 23, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {x: 3, e: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -3.815954.\nAnswer: -4.5791448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)\/a*a*a**(-8)*(a**(2\/7))**48)\/(a**5\/((((a\/((a\/(a**(2\/19)*a)*a)\/a))\/a)\/a)\/a)*a\/a**(2\/25)*(a\/(a**(-8)*a)*a)\/a) assuming a is positive.\nAnswer: a**(-56859\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1627 + 1760. Calculate the highest common factor of a and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 37934*p - 3945142. Determine v(104).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 38792 = -39017 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*10\/6 + (-11)\/(880\/(-405)). Let f(d) be the second derivative of 0 - 9*d + l*d**4 + 0*d**2 + 1\/20*d**5 - 1\/24*d**3. Factor f(q).\nAnswer: q*(q + 1)*(4*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 3*y**2 - 4*y + 5. Suppose 3*a + 8 = b, 0*b + 4*b + 4*a + 32 = 0. Let q be r(b). Solve 7 + q = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143041 + 137319313\/960. What is the common denominator of o and -79\/36?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 2, g: 1, e: 1, d: 1, c: 1}. What is prob of picking 1 e and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**4\/5 - 4029*u**3\/5 - 15169*u**2\/5 + 4044*u\/5 = 0.\nAnswer: -4, 0, 1\/4, 1011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*7.209\nAnswer: 1.4418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 6*n - 42. Suppose -115 = -15*b + n*b. Let i = b - 457\/4. Put i, -4, 4 in increasing order.\nAnswer: -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -380300 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, -2\/5, 2 in ascending order.\nAnswer: -7, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -603, -605, -607?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1900\/(-32))\/5 - 0 and ((-678)\/(-80))\/((-126)\/56 + 3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 773.0096l?\nAnswer: 773009.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**4 + 0*k**4 - k**4)*(-25 - 6 - 56) as x + o*k**2 + y*k + u*k**3 + j*k**4 and give j.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.7 + -14. Let l = f - -7. Let q = l + 0.5. Round q to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0863 (b) -7 (c) -5 (d) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-2 - -20 - (-12 + 17)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-1 - 0) + -2 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1254 and 186813.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 5*t**2 + t - 1. Let u be 6\/27 - (-794)\/(-9). Let v be u\/(-20) - 4\/10. Calculate b(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + d. Suppose q + d = 5. Let c be (-1)\/q + (-9)\/(-15). Sort c, 1, -5 in descending order.\nAnswer: 1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -4*t - 0*n + 4*n, 0 = 4*t - 5*n - 196. Let x = t - 38. What is the least common multiple of x and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 1 = 0, -2*y = y - 5*z - 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**5\/5 + 71*y**4\/3 + 2720*y**3\/3 + 6936*y**2 - 3*y + 1. Factor s(l).\nAnswer: 4*(l + 3)*(l + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 82032496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-13)\/(l*l\/l**(-2\/3)*l*l)*(l\/(l\/(l\/l**(-2\/7))*l))**(-8\/7) assuming l is positive.\nAnswer: l**(-2645\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410.464 rounded to the nearest ten?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 2*f**5\/5 - f**3\/3 + f**2\/2 - 366*f. What is r(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x - 5*x - 9*x + 15*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19482 is divided by 1625?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/(1924\/(-1313)) - (2 + 9\/(-2))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/49 (b) -2\/13 (c) -0.08 (d) 683\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1137 and 3794407175.4?\nAnswer: 3794408312.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51769 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2 + 12032*x - 18096128 = 0 for x.\nAnswer: 3008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuumummuuuuuuuuuum. What is prob of picking 4 m?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5658*i**2 - 5652*i**2 + 16960*i**2 - 5651*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 13*m**2 - 9 + 17*m + 20 - 6*m. Suppose 4*o + 2*o - 132 = 0. Let h(c) = -c**2 - c - 1. Let u(b) = o*h(b) + 2*d(b). Let g(s) = -s. Calculate u(g(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6)*k\/(k*k**(6\/25)*k)*(k**8)**(-38\/7) assuming k is positive.\nAnswer: k**(-8867\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 8:20 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.208816 + -0.173.\nAnswer: -0.381816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -5?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -14*k - 49. Let l be a(-14). Is 147 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m = -23*m - 96. Let b = -4 - -4. Suppose -o + 2*k = k - 36, 4*k + 16 = b. Calculate the greatest common divisor of m and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*r = 15, -4*r + 9 = 2*j + 29 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 93, 1623 in ascending order.\nAnswer: -12, 93, 1623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 v when four letters picked without replacement from lllvllsllllvvlllls?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 4*s**2 - 4*s - 3. Let y be m(5). Let g = -45 - y. Let a = g - 3. Solve -6*r - 24 = -2*r + 4*d, -r - 2*d - 8 = a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 15) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 19*s - 16. Calculate n(14).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 21*i**2 - 219*i + 2627. What is the units digit of g(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, 654 in increasing order.\nAnswer: -10, -5, 654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(1\/2))*s)\/s**(1\/2))**(-19) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20ad9 (base 15) to base 13\nAnswer: 38283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*m = -519 - 33, 5*m - 15 = 0. Let y = w + 343. Suppose 5*f + p - 70 = 0, -2*f - 3*f = -4*p - 70. Calculate the highest common divisor of f and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 9:03 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 4*b + b)*(-16481*b**2 + 16481*b**2 - 1468*b**3) + b**2 - b**2 - b**4.\nAnswer: -1469*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 1323?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -680, -2733, -6156, -10949, -17112?\n\"Answer: -685*r**2 + 2*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-10)\/4 - (-2)\/4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 47. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*s + 72*s - 29*s**3 + 1742*s**3 + 72*s - 214*s.\nAnswer: 1713*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r*(r\/(r\/r**(4\/7))*r)\/r*r)\/r)\/r)*r**2)\/(r**(-21)\/r)**47)**21 assuming r is positive.\nAnswer: r**21765","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 206*p**2 + 18 - 22 - 12 - 187*p**2 to i + u*p + l*p**2 and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18049 is divided by 2255.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from {l: 2, a: 1, d: 4, v: 12}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -243 + 251. Let v(b) = 51*b + 94. Let k(p) = -152*p - 279. Let m(l) = t*v(l) + 3*k(l). Differentiate m(c) wrt c.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 173.82? (a) -0.04 (b) 0.5 (c) -2 (d) 1\/19 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*22*26\/(-19019).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((35\/42)\/((-72)\/16))\/(3\/18).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -2, 80, 2, 0 in descending order.\nAnswer: 80, 2, 0, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, t: 4, a: 3}. Give prob of sequence nt.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11433, 45767, 103005, 183159, 286241?\n\"Answer: 2*m**3 + 11440*m**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-40) + 22\/10. Let u(j) = 3 + 5*j + 0 + 102*j**l - j**3 - 99*j**2. What is u(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354 + 3221 = 220*p - 712 - 1213 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, f: 3, g: 5}. What is prob of picking 2 g?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231936916 divided by 94.\nAnswer: 2467414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**3\/4 - 1031*f**2\/4 + 2426*f - 1503 = 0.\nAnswer: 2\/3, 9, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -63\/10 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 63*c**2 - 18*c - 1015. List the prime factors of y(-56).\nAnswer: 3, 5, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 0, -21, -2.2, 4, -69?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, s: 15}. What is prob of picking 1 s and 3 e?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**2\/7 - 129065*w\/7 - 774426\/7 = 0.\nAnswer: -6, 129071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 16*u - 26. Let k be i(14). Which is the nearest to 1? (a) -0.2 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16560460 + -35?\nAnswer: 16560422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8328*s - 113980 - 117707 = -7913*s + 288025 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2964828, 2964778, 2964730, 2964684?\nAnswer: 2964640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - v**3 + 2*v**2)*(36*v + 17*v - 252*v) - 3*v**4 + 3*v**4 + v**4.\nAnswer: 200*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*i + 4*m = -85*i + 44224, i - 4*m = 11041. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 3*n - 2. Let t be o(5). Let f be (0 - -1)*t + -8 + 8. Solve 2*i + 0*i = f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 405*c**2 + 198*c + 30. Let w(g) = 9*g**2 - g - 1. Let b(n) = a(n) - 18*w(n). Factor b(x).\nAnswer: 3*(9*x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*x - 372, 3*x - 388 = 2*k - 3*k. Calculate the remainder when 368 is divided by x.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 8394b58?\nAnswer: 8394b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 4*n - 9 + 25, 0 = -4*t + 2*n + 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28772059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629603617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 330?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 110.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1143559 and -16\/6979?\nAnswer: 8004913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -14 + (86 - 1).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 386 and 10.\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6557 = -2*u + 10867, 0 = 3*y - u - 10450. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and 829.\nAnswer: 15751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-10)*z**(-7\/5))\/(z\/(z\/(z*z*z**(-2))))**(-1\/19))**(-2) assuming z is positive.\nAnswer: z**(114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16320 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (4 - -4) - -4) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**(1\/5)))*j)\/(j*j**14) assuming j is positive.\nAnswer: j**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18231 and 177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8693*w - 26072. Determine d(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/3, 0.2, -5, -56\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*m - d + 35, m = -5*d + 35. Let v be (-4)\/m + (-8)\/(-20). Put v, -0.3, 5 in descending order.\nAnswer: 5, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 4. Calculate the common denominator of (3\/2)\/((-3)\/(-11)) and (-15)\/g*132\/(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-9)*99\/44*-2 - 6?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**5\/30 - j**4\/6 + 3*j**3\/2 + 2*j**2 - 3. Calculate the remainder when i(5) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z - 20. What is r(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18514*w**2 - 4*w + 138113 wrt w?\nAnswer: -37028*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*5*(sqrt(325) + 4) + ((4*sqrt(325) + 0)*-4)**2.\nAnswer: 25*sqrt(13) + 83222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*a = 551*a + 458 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -77, -103?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642814?\nAnswer: 2, 31, 26497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1148, 5, -3.3, 16\/3.\nAnswer: -3.3, 5, 16\/3, 1148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 37\/5 of a millennium?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssssssscsssccs.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 20. Let z be (j + -6)*9\/(-6). Suppose 0*w - 3*p = 4*w - 35, 4*w = z*p + 53. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*g - 87. Is 1*(-1 - 0) + (-41496)\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 6:30 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at most 28491\/2440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38804 and 478728?\nAnswer: 42606792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = d + 9, 45 = -3*y + 8*y - 3*d. Let i(m) = m**3 - 10*m**2 + 9*m + 10. Let w be i(y). What is the units digit of -2*w\/(-4) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2 + 264*y - 262 = 0. What is y?\nAnswer: 1, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30488.2499894 + 30488.61. Let f = m - 0.36. What is f rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - (-2 + -1)) - (16 + -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20162725 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 474653785?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 + -4.92. What is the closest to 2 in -2\/7, f, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogoz. Give prob of sequence zogo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3124 (base 10) in base 7?\nAnswer: -12052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 123 - 131 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-4*1*sqrt(448) + 2*(sqrt(448) + -1) + 1*1*sqrt(448))*2)**2.\nAnswer: -3456*sqrt(7) + 1306384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**3 - 2*w**2 - w + 2. Let y be s(1). Let h(d) = 5*d. Let p(v) = -5*v. Let n(z) = y*h(z) + 4*p(z). Let t(q) = 4*q**2. What is n(t(u))?\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f + 3*f + f + 5*f - 2*f - 2*f + (3 - 2 - 2)*(-4*f + 4*f - 2*f) + (4*f + 5 - 5)*(-1 - 3 + 3) + 3*f + 0*f + 2*f to u*f + v and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 444 - 281. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110462.068 rounded to the nearest ten?\nAnswer: 110460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 810\/168 + -5 + (-1)\/4. Let f = -32 - -13. Let a = -17 - f. What is the nearest to 2\/5 in a, g, -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211832*a + 211869*a - 183 = -812 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s**2 - 3*s - 1. Determine y(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*g**2 + 6*g + 331.\nAnswer: -10*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y - 3. Let f be m(3). Differentiate 3*b**2 - b**4 - 1 + f - 3*b**2 wrt b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*h + 3*s, -37*s - 26 = -4*h - 35*s for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -3114 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/17)*k**25*k)**(4\/25) assuming k is positive.\nAnswer: k**(1756\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*y = y - 1, -4 = -5*l - 4*y. Find the third derivative of -2*p**5 + 2*p**5 + l*p**2 + p**2 - 2*p**5 wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -187*r**2 + 5*r. Let t(v) = -362*v. Determine d(t(m)).\nAnswer: -24505228*m**2 - 1810*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - 0.1. Let q = -1176 - -1171. What is the third biggest value in 12, c, q, -1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b**3 - 16*b**2 - 8*b + 28. Let c(g) = 13*g**3 + 25*g**2 + 12*g - 43. Let n(m) = 5*c(m) + 8*i(m). Calculate n(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c + 1. Let g be w(4). Suppose 5*a - 2*n + 5 = 3*n, 0 = -2*a - n - 14. Let s = a + g. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2. Let s be q(4). What is the hundreds digit of (-8)\/s - 3\/(12\/(-1534))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 - 173*n**2 + 79665*n + 4817. Give q(161).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 + -171. What is the closest to 0.2 in -7, 2\/7, s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s - 20. Give i(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, c: 9}. Give prob of picking 3 c.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/5*20\/6. Suppose 5*k = -0*k - 10. Let j = k - t. Solve 0 = -j*r + 2*f, 0*r + 5*f - 40 = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/71885940 and -157\/14377188?\nAnswer: 71885940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1197*h - 1. Let n(y) = -60*y**2 - 4. Calculate j(n(g)).\nAnswer: -71820*g**2 - 4789","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(4) + sqrt(8)\/(sqrt(6)\/sqrt(3))).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/(-27))\/1)\/((-2)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 304002401?\nAnswer: -304002341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -316 times 5.43?\nAnswer: -1715.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n - 3*n + n + (n + 3*n - 28*n)*(-5 + 2 - 2) - 5 + 3 - 2*n + 3*n + 2*n - n - 2*n + (-n + 0 + 0)*(-4 - 3 + 5) + 0*n + 3*n - n + 2*n - 4*n + 0*n.\nAnswer: 120*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 2*s + 9. Let j be x(-7). Let u = 46 - j. Let i(a) = 2*a**2 + 7 - 1 - a**u + 8*a + 0. Give i(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o**5 + 9*o**2 + 5*o**5 - 3*o**5 - 3*o**5 wrt o?\nAnswer: -300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5750000 to the nearest one hundred thousand.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10665273*a - 10665475*a = 18786 for a.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-68)\/(-578) - (-5)\/((-1870)\/(-24)). Which is the fourth biggest value? (a) y (b) 0 (c) -2\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.11, -2.54, 0.4?\nAnswer: -2.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p - 2*p + 14. Suppose u + 3*i - 3 = 0, -u - 5*i = 2 - p. Solve 25 = 4*k - u*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 5*u**2 + 2*u - 6. Let o be h(5). Let m = -46 - -52. Suppose b = 2*b - m. Solve 0 = w - o*c + 14 + b, -w = -c + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 9:30 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3500*t + 162 + 3498*t - 103 - 33*t**2.\nAnswer: -33*t**2 - 2*t + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15732 is divided by 1747.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 2*n + 5. Suppose -3*z + 7*z - 8 = 0. Let r(f) = 19 - 4*f**2 + 10*f - 5*f - 3. Let u(s) = z*r(s) - 7*g(s). Give u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 61\nAnswer: 60.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -34*o + 39*o + 24, -30 = -5*f + 5*o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 123*d - 38*d - 39*d - 44*d. Let c(b) = -44*b**2. Determine c(l(q)).\nAnswer: -176*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-646)\/399 + 4\/14. Let s = 1 - 0.5. Which is the second smallest value? (a) s (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 295 from 98.175.\nAnswer: -196.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2 + 2)*(-2*a**3 + 25*a - 47*a + 24*a).\nAnswer: -4*a**4 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -531 * -0.067\nAnswer: 35.577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 151704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*d - 46*d + 2*d**3 + 2 - 2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1 - (3 + -4)\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 6*z + 6. What is r(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -109*o - 46. Let a = -116 + 113. What are the prime factors of y(a)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = 49*q + 60 + 422 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l**2 - 63*l - 340. Determine h(-5).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 1, n: 2}. Give prob of sequence xy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Let r(l) = 2 + 3 - 4*l - 6*l**2 + 2*l**2 + l**g. Let z(o) be the third derivative of o**5\/60 + o**4\/24 - o**3\/6 - o**2. Give -r(x) - 5*z(x).\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c + 12. Let j be y(5). Let a = 11 - j. Calculate the remainder when a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-2*sqrt(110)*6 + sqrt(110))*-3)\/((sqrt(90)*-1 - sqrt(90))*-1 + sqrt(90) - sqrt(90)))**2.\nAnswer: 11979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22002, 44746, 67490, 90234?\n\"Answer: 22744*f - 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4614 (base 9) in base 12?\nAnswer: -1b87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*p - 5 = t, 0 = -5*t - 3*p + 19. Put 1\/2, 1\/8, 1\/7, t in descending order.\nAnswer: t, 1\/2, 1\/7, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -536, -1066, -1596?\nAnswer: -2126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 1:34 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 3*s = 15 + 10, -15 = -3*d - 2*s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10111?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18841 take away -2?\nAnswer: -18839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 4*k - 12 = 0. Put k, 6, -4 in increasing order.\nAnswer: -4, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6373 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2 = w + 3*i, 4*w + i = 8. Let o(n) = -22*n - 2*n - 10 + 7*n - 1737*n**w. Let f be o(-11). Round f to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 29 - 19*y**4 + 6 - 39*y**3 + 50*y**3. What is the third derivative of g(q) wrt q?\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3*-1*(-4*1*sqrt(2057) - sqrt(2057)) - -5*((sqrt(2057) - (0 + sqrt(2057))) + -4 - -5*(sqrt(2057) + -2*sqrt(2057)))))**2.\nAnswer: 4840*sqrt(17) + 206184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-68 - -64 - (-3 - -1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 12 = 2*t - 3*f, 2*f - 64 = -4*t. Let k = 7219\/4 - 1794. Calculate the common denominator of k and (-5)\/t + -1 + 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 120 = 123. Suppose 4*p - o = p. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 5. Suppose i*m = 2 + 18. Let c(f) = -f**3 + 5*f**2 + 2*f - 6. Let o be c(m). Solve h = -o*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 199, 237, 289, 355, 435, 529?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.01 (c) 2.36 (d) 0 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b. Let j(c) = -c**3 - 8*c**2 - 7*c. Let g be j(-7). Suppose g = -0*r - 5*r + 15. Let p(z) = -r*z**2 + z + 5*z**2 - z. Give x(p(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvrr when four letters picked without replacement from {r: 7, e: 2, v: 3}?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1311 + -344?\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -107 + 167. Let a be (-12)\/4 + (-6 - m). Sort a, 0, -1, 5 in ascending order.\nAnswer: -1, 0, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 9*v - 12. Suppose 74 = r - 3*r. Let w = r - -44. Let h be y(w). Solve 3*c + h*t - 14 = 0, 3*c = -2*c + 3*t + 17 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-2))\/(21 - 20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(10 + -2) - (5 - 4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*r**2 + 30 + 12*r**2 - 35*r**2 - 121 + 14*r**2 as l*r**2 + b + d*r and give b.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 5*m + 7. Suppose -6*q + 2*q = 24. Let n be q\/21 + 44\/7. Give t(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 707, 1416, 2125, 2834, 3543?\n\"Answer: 709*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3))**(-26)*(a\/a**(3\/8))\/((a**(-2)*a)\/a*a*a*a) assuming a is positive.\nAnswer: a**(199\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) 94 (c) 0.018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2883\/4 - -721. Let a(f) be the first derivative of 12*f - 2 - n*f**6 + 9*f**2 - 9\/5*f**5 - 33\/8*f**4 - f**3. What is o in a(o) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*p - 69 - 83 = -8*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5300, -3104, -908, 1288, 3484?\nAnswer: 5680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14612 and 452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = -5*q. Suppose -4*t + 1 = -5*i - 4, 20 = t + 5*i. What is the second derivative of -9*k + 22*k**5 - t*k**3 + 5*k**q - k wrt k?\nAnswer: 440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-69)\/(-15) + -5)\/((-6)\/(-120)). Let m be 17 + -2 + (10 + n)*-3. Solve -3*i = 2*a - 6, -6*a + m = -5*a + 3*i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 7002 - 187 = 0. What are the prime factors of q?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 0*y**2 + 0*y**3 + 10*y + 0*y**6 - 9\/56*y**8 + 0*y**7 - 5 + 7\/6*y**4 + 0*y**5. Find the third derivative of s(b) wrt b.\nAnswer: -1080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/64*(2\/1)\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 1 - ((40 - 1) + (-1455 - -1360))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at least -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2717\/(-627))\/((-1)\/(-3)). Let o(w) be the first derivative of -3*w**2 + 19*w + 2. List the prime factors of o(b).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -544220?\nAnswer: 544223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 758887 = -10*x + 1960377. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - 16*f**2 + 17. Let d(j) = -j**2 - 6*j + 3. Let w be d(2). Is u(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from ixk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8786 + t**3 - 8786 + 89*t**2)*(-2 - 6*t + 3 + 0*t).\nAnswer: -6*t**4 - 533*t**3 + 89*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*j - 6 = 3*s, 22 = -5*s - 2*j. Calculate the common denominator of -8 + (-328)\/(-40) - (-16)\/5 and (0 + -1)*(-59)\/s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 28385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -146.7 + 139.427. Let n = 0.073 + k. Round n to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 2*y + u, 3*u = -u - 8. Let o = y - 26. Let c(z) = z**2 - 3*z + 4. Let t be c(3). Solve o = t*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Let a = 3 - d. Suppose -10 + 10 = 3*i. Sort -3, a, i.\nAnswer: -3, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 0 (b) -2 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230 times -0.11?\nAnswer: -135.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**4\/8 - 514*c**3\/3 + 1025*c**2 - 2048*c - 13010. Determine l so that n(l) = 0.\nAnswer: 2, 1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 4)*(-f - 4*f + 3*f + (-2 - 1 + 4)*(-f + 3 - 3) + (7 + 4*f - 7)*(-1 - 2 + 0)) to r*f + g and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8358.008 - 0.31.\nAnswer: -8358.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 3 (c) -0.4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2255, -5 in increasing order.\nAnswer: -2255, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 3, -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {z: 1, w: 2, o: 1, v: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**6\/30 - 34*j**5\/15 + 6*j**2 - 2. Factor q(u).\nAnswer: 4*u**2*(u - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1067 and 36569.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -287 divided by 5\nAnswer: -287\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - (17 - (-20 + -15 + (-2 - -40)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 11:54 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 390034369?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s + 3. Let l(b) = b. Let v(u) = h(u) - 4*l(u). Calculate v(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b*(b*b*b\/b**(-2\/21)*b)\/b*b)*b)\/b)\/(b*b*b**(-3\/4)*b*b))**(-1) assuming b is positive.\nAnswer: b**(533\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 35 = -8. Put 0.4, b, 1\/5 in descending order.\nAnswer: 0.4, 1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -11, -607\/159, -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - -0.8. Let a = t + -16.5. What is the third smallest value in a, 0.042, 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-10) + (1287\/(-15))\/13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -15116093*c + 1. Let q be j(1). Let k be (-60128733)\/8 + (-81)\/24 + 3. Let g = k - q. Round g to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 2*c - 1. Let g(y) = 6*y**2 - 124*y + 4. Determine -g(f) - 4*j(f).\nAnswer: -2*f**2 + 132*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 smaller than -13934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 89971459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -2*q - 2*u - 0*u, 0 = 3*q - 4*u - 188. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (879\/9669)\/(14\/88).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3 - 18740856*u**2 + 29268194522268*u + 351221032955664 = 0. What is u?\nAnswer: -12, 3123482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 11:04 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-8))\/(7\/7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1858121478?\nAnswer: 2, 3, 3637, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/8157, 3, -3, -10 in descending order.\nAnswer: 3, -2\/8157, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15159\/(-31)*(1 - 1 - 1) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 0*g**2 - 1 + g**2)*(17*g + 1000 + g**2 - 1000).\nAnswer: g**4 + 17*g**3 - g**2 - 17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13674179, 13674177, 13674175, 13674173, 13674171?\nAnswer: 13674169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0100440339 to 4 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + (1 - -1))*(-2247)\/(-28). Suppose -4*w - 2 + 18 = 0. Suppose -w*i = 5*d - g, -d - 3*i + 64 = -2*i. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5755 + 23019\/4. Put 7\/5, -2\/17, 1\/3, u in increasing order.\nAnswer: u, -2\/17, 1\/3, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-528264)\/644)\/(-87)*-21*(-4)\/24.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1644*q**3 - 13974*q - 1734 - 24*q**4 - 57123\/2*q**2.\nAnswer: -3*(q + 34)**2*(4*q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s + 44. Let n be h(8). Suppose 5*r + q = -18, -7*r + n*q - 24 = -3*r. Suppose 3*a = 2*a - 1. What is the closest to a in 3, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lilolog?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + -10 + -8 + -11 + (32 - 7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 20*i + 45000 = 0. What is i rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37972, 151766, 341418, 606922, 948272, 1365462, 1858486?\n\"Answer: -l**3 + 37935*l**2 - 4*l + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 6:02 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/8, -20\/43, -5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2 + 358604*y + 16074603602 = 0.\nAnswer: -89651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 0 - 2. Let y(c) = -17*c - 1. Is 14 a factor of y(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**4\/3 + 26686*l**3 + 53371*l**2 + 80056*l\/3 = 0.\nAnswer: -80056, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13753886447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-573)\/48 - (-1)\/(-16)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/(81*(-9)\/(-216))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 12:58 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12464 is divided by 190.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trrtrttttrttcttttr. What is prob of sequence rtc?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52630521 by 3.\nAnswer: 17543507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 12*i**3 + 24*i**2 - 186*i - 30. Let m(j) = -3*j**3 - 6*j**2 + 45*j + 8. Let z(h) = 5*f(h) + 21*m(h). Factor z(t).\nAnswer: -3*(t - 2)*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 83 in 137, 0, -0.1?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 12. Let y be h(10). Let w = y - 94\/5. Factor -6\/5*t**3 + 4\/5 + w*t**2 - 14\/5*t.\nAnswer: -2*(t - 1)**2*(3*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16053412 and 496858?\nAnswer: 6998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 5464*c**2 + 3646*c**2 - 14477*c**2 to w*c + d + b*c**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(2\/4)\/1. Let r = 0.01 + -0.31. Which is the third biggest value? (a) r (b) u (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.59753 to two dps.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -281523, -281625, -281727, -281829, -281931, -282033?\n\"Answer: -102*l - 281421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-24 + (15 - -10)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 11*o**2 - 7*o + 84. Let u be m(-12). Which is the nearest to u? (a) 4\/3 (b) -1 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*j - 0*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -7397\nAnswer: 1\/7397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001390362 to six decimal places.\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a. Let n be m(-1). Let p(b) = b**2 - 7*b + 7. Determine p(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + 116. Suppose 4*i = -0*i + r. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 377.\nAnswer: 6\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2302*x**2 - 6960*x wrt x?\nAnswer: -4604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9380)\/(-56))\/(-67))\/((-2)\/84*-3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3013 (base 5) to base 7.\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -769*v**3 - 4*v**2 + 11448*v + 588470889 wrt v.\nAnswer: -2307*v**2 - 8*v + 11448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9876372 micrograms to nanograms.\nAnswer: 987.6372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 104 = 7*a. Suppose -3*c + 10752 = a*c. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 + -14.5. Let y = 8 + k. Let p = 7 + y. Which is the second biggest value? (a) -5 (b) 1\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 101.068404635 and -19.\nAnswer: 82.068404635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 18*p**2 + 3*p - 3. Suppose -2*t - i + 9 = -2, 2*i - 7 = t. Let z = t + -1. Is 25 a factor of x(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y + 87 = 0. Let w(b) = -17 + 2*b - 19 - 9 + y. Let p be w(10). Solve -p*g = -4*a + 8, 4*g + 3*a = -a + 24 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -765596.\nAnswer: -3\/191399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + 3 + -2)*((-8856)\/630 - -14). What is the closest to -25 in a, -4, 2, 24?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934623 to the power of 1\/2, to the nearest integer?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54625?\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18 - 39\/4*u**2 + 15\/2*u + 3\/4*u**3.\nAnswer: 3*(u - 12)*(u - 2)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 5. Let l(j) = 3*j - 22. Let q be l(o). Solve -5*k = 3*i - 28 + 6, q*i - 6 = k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(200) + sqrt(200)*1)\/sqrt(10) + -1)**2 + (sqrt(60)\/(-5*(sqrt(48) + sqrt(3))))**2).\nAnswer: -32*sqrt(5) + 40516\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480 and 40?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.881 + -41274.68488?\nAnswer: -41266.80388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -1\/61, -858, -113?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j*p**3 + 411*j*p**2 + 716*j + 3*p**3 + 403*p**2 + 9511*p wrt p?\nAnswer: -12*j*p + 822*j + 18*p + 806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -4) + -3 - (-48)\/6. Suppose 0 = y*b - 62 + 26. Let u(l) = 6*l + 8. What is u(b)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10*i - 64. Calculate m(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -44?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 5*d. Let f(y) = 18*y**3 + y**2 + y**2 - y + d*y**2. Is f(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133 and 68509.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -3 + 0 + -5 + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - l = 0, l + 2 = -2*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*g**3 + 6288418*g - 6288418*g + 34*g**3 - 11*g**3.\nAnswer: 142*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**12)\/(g\/(((g\/(((g*g**(1\/9)*g)\/g)\/g)*g)\/g*g)\/g*g*g)*g*g))\/(g*(g*g\/g**(2\/29))\/g*g**(9\/10)*g) assuming g is positive.\nAnswer: g**(23641\/2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5948*s - 3903*s = 198365 for s.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 0 + (-2 - -7). Suppose -a*m + 99 = -12. Calculate the remainder when m is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1968 and 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 r, and 1 j when three letters picked without replacement from jdjiir?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-29)*z**(-2\/5)*z**(4\/5) assuming z is positive.\nAnswer: z**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33820.9 + 35602. What is s rounded to the nearest ten?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174, -172, -182, -210, -262, -344, -462?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -5) + -1 + 1. Suppose -35 = -2*o - w*m, m = -7*o + 4*o + 33. What is the remainder when (-184)\/(-10) - 4\/o is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*g = 0, h = 4*h + g + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1584 = -5*b - 4*f, 0 = 3*b - 5*f - 1220. Which is smaller: -0.1 or b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 8 + (0 - 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/3)\/x*x**(-1\/2))\/(x*x**(-2\/29)*x*x**(-1\/8)) assuming x is positive.\nAnswer: x**(-1373\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 - 205 = -8*k. Let d(y) = -3*y + 51. Let z be d(k). Solve z*n = -5*h - n + 1, 5*n - 5 = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/5 - 17182*x**2\/5 - 68741*x\/5 - 51558\/5 = 0.\nAnswer: -3, -1, 17186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4650 (base 7) to base 15.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/117, -21, -3\/8, -32, -2\/21?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 299, 3, -1 in descending order.\nAnswer: 299, 6, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + -2*sqrt(13) + -3 + (sqrt(637) - (sqrt(637) + 1))*-6*-3)**2*-2*6.\nAnswer: -6432 - 1056*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -598bb5 (base 12) in base 9?\nAnswer: -2643882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1456, 1461, 1468, 1477, 1488, 1501?\nAnswer: 1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19a + -25?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2)*(-5*w + 3*w + 3*w) - w + 0 + 0.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -161*o - 20. Let p be h(-9). Let v = p - 842. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7209 at most as big as 6842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by ((-54)\/(-4))\/3*(-64)\/(-48).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26505 at most as big as 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 6:55 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1474*d**3 - 5*d**3 - 554*d**3 + 3385*d + 1742*d**3 wrt d.\nAnswer: 15942*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231808019.\nAnswer: 241, 577, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 6 (b) -0.11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 at most as big as -828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - 3*f + 2*f)*(-7*f + 3*f + 2*f) + (-8*f - 9*f + 7*f)*(15*f + 0*f + 8*f) + 0*f**2 + 4*f**2 - 5*f**2 as d*f**2 + m*f + g and give d.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -43.2 - 978287645\nAnswer: -978287688.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 6. Suppose -47*b + 6 = -48*b. Let p(u) = 2 + 178*u**2 - 89*u**2 - 1 - 88*u**2. Determine b*p(n) - x(n).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 12 = 3*k, -302*k + 304*k = -4*y + 62. Let u = -1 - 0. Sort u, -2, -5, k.\nAnswer: -5, -2, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 69*q + 945. Calculate f(50).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2018152518.\nAnswer: 2, 3, 17, 19785809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 108*n**4 - 347184*n**3 - 810552*n**2 - 424624*n - 64340 = 0?\nAnswer: -5\/3, -1\/3, 3217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, s: 5, y: 1, m: 3}. What is prob of picking 3 r and 1 m?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9274.\nAnswer: 2, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*f = 297*f. Find the second derivative of 1 + 110*h + 19*h**2 + h**3 + f + 192*h - 130*h wrt h.\nAnswer: 6*h + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 37. Suppose 0 = -d*b - 2*b + 4440000. What is b rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 13, -12 in increasing order.\nAnswer: -12, 0, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 31*m**3 - 2*m**2 + 1. Let x be k(-1). Let y = -22 - x. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 35477\/15 (b) 7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/(2\/(-30)). Suppose -10 = s - a*l + 6, s = 2*l - 4. Suppose s - 5 = h. Which is smaller: -1\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 563 (base 7) to base 12.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y + 5*l + 138 = 0, -26 = -y - 3*l. What is the remainder when y is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1292 = 2913. Does 38 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -29?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 6:13 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 11 (b) 2807 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5372195 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j. Let u be 10*-1*2\/(-5). Let t(a) be the first derivative of 2*a**2 + 125. Let i(r) = -2*r. Let q(d) = u*t(d) + 7*i(d). Calculate m(q(y)).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 + 93720*n**3 + 3274075*n**2.\nAnswer: 5*n**2*(n + 35)*(n + 18709)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.7 + -11. Let g = -0.5 - f. What is the closest to -1 in -1, 3, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 - r**3 + 6*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 257, 1985, 6669, 15785, 30809, 53217?\n\"Answer: 246*i**3 + 2*i**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) - (-6)\/(-4). Let f be (7\/(-28))\/(3\/12*q). Let t(r) = 17*r**2 + r - 1. Determine t(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -228 - 537. Calculate the greatest common factor of 30 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3\/5 (b) -3\/2 (c) -0.1 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l - 2*q = -22, -3*q - 9 = -3*l. Suppose -5 = -5*v - 45. Let a = v + 10. What is the remainder when l is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10672761 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 + 23*z**2 + 3*z - 50. Let a be b(-11). Does a = -7\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(75) + -1)*3 + -4.\nAnswer: -22 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.135 to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20400220 (base 6) in base 4?\nAnswer: -2100103110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4471563 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -66980, -135651, -204324, -272999, -341676, -410355?\n\"Answer: -r**2 - 68668*r + 1689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7 = -2*s, 0*s + 3*s = -4*q + 6. Let v = -2 + -6. Let u be (-2)\/3 + (s - v\/3). Solve u = g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0280551mg in micrograms?\nAnswer: 28.0551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -55. Let y = z - 12. Let b(v) = 58*v**2 + v - 1. What is the tens digit of b(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/(-4) - (-33)\/(-132))\/11. Which is the nearest to 9? (a) -0.09 (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*a + 51 = 0, 4*p - 42 = 42*a - 43*a. What is the remainder when 1969 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*a - 406*a = 32 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -507 + 509. Suppose 5*d - 123 = -2*k - r*k, -4*d - 4*k + 96 = 0. Solve 0 = -4*q - 11 + d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(2448) - (sqrt(2448) - 4*(sqrt(2448)*-1 + sqrt(2448)))) - 4*(2 + sqrt(2448) + 0))*-5*2)**2.\nAnswer: 76800*sqrt(17) + 3923200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -980, -2316, -4314, -7046, -10584, -15000?\nAnswer: -20366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/425 and -47\/595.\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from jjjjjjjjbjbjbbjjjjbj?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 12*k - 1. Let l(o) = o**3 + 2*o**2 - 2*o - 3. Suppose 0 = -3*h - 7 - 2. Let v be l(h). Let s be d(v). Round s to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3065046\/17 = 180298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c3 (base 15) to base 14.\nAnswer: -575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 57*h**2 - 16*h**2 + 1.\nAnswer: -73*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -29794038 at least as big as -29794033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 335152240 (base 6) to base 12\nAnswer: 2075680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210121000 + -1012220222?\nAnswer: -102022222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 3 in decreasing order.\nAnswer: 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + 6)\/(1\/(-55)). Let z = n + -27. Calculate the remainder when z is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 689 + -343. Let k = c + -346.00695. What is k rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*(0 + 40). Suppose -2*r = -0*r - 182. Let n = r + z. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948108 is divided by 158016?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.09 = 223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 16) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111101 + 110001?\nAnswer: 111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843037839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)*y)\/y**(-26) assuming y is positive.\nAnswer: y**(83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5*n - 8*n - 5*n + 16*n to y*n + f and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-18)\/(-12))*16\/(-18). Let r = -21.8 + 22. Which is the biggest value? (a) -3 (b) -0.1 (c) r (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 87*k**2 - 8*k - 102. Is 19 a factor of c(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 1227*f**2 - 1227*f**2 + 1)*(f + 5*f - 4*f) + 5*f**4 - 193*f**3 - 1 + 193*f**3.\nAnswer: 7*f**4 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 22 = -6*i. Let k = i + -4. Suppose 3*d + 28 = 4*r - k, r - 23 = -4*d. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwrwusursnwr. What is prob of sequence surr?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 167372997 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 8. Let h be u(-8). Let s = -37 + h. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 0.3, 39, 7, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/40 and -65\/77068?\nAnswer: 770680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141774*d - 512 = -141673*d + 2720 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295994 is divided by 295876?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1445194, -1445205, -1445220, -1445239?\nAnswer: -1445262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(-5*sqrt(72))**2.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 12*b = -6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 3:26 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/5 + 42*z**2\/5 - 2*z\/5 - 42\/5 = 0. What is z?\nAnswer: -21, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 39947.\nAnswer: 39947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -76, -1437, -4084, -8017, -13236, -19741?\n\"Answer: -643*v**2 + 568*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + w - 3 = 0, w = -0*o + 3*o - 7. Solve -2*c - o*c = z - 3, -4*z - 12 = 4*c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-2 + 2 + 2*j) + (3*j + 0*j - 4*j)*(3 - 2 + 0) + 0*j + 2*j + 0*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + a + 0*a - 1)*(0*a**2 + 3*a**2 + 0*a**2).\nAnswer: 9*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + y - y)*(-3 + 132*y + 139*y - 259*y).\nAnswer: -12*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*168\/(-21)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/6 + 1519*x**2 + 57613*x\/2 + 154615\/3.\nAnswer: (x + 2)*(x + 17)*(x + 9095)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9)\/w)\/w*w**(-5\/7) assuming w is positive.\nAnswer: w**(-157\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412 not equal to -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 61962 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*a**2*c*i**3*m + a**2*c*m + a**2*i**3 - 10*a*c*i**3*m - a*i**3*m - c*m + i**3*m + 16*i**2 wrt a.\nAnswer: -80*c*i**3*m + 2*c*m + 2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 1, a: 1}. What is prob of sequence ya?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, -2\/19, -1\/9, -5 in decreasing order.\nAnswer: 70, -2\/19, -1\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**2 + 1051*g + 6414. Give f(-6).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*c - 44 = 0, -147 = -0*v - 3*v - c. Is 25 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivdv when four letters picked without replacement from vdddqvvddqdiv?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3530 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(39)\/(sqrt(3) + sqrt(108)) - sqrt(13)) + (sqrt(13) - (sqrt(130) - (sqrt(130) + sqrt(130)*-4 + sqrt(130)))\/sqrt(10)))**2.\nAnswer: 2925\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 9*o**4 + 12*o**3 - 12*o + 4*o**4 + 9*o**4.\nAnswer: 4*o*(o - 1)*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 1 + 2*l - 2 - 2*l + l**2. Let h(r) = 117*r**2 - 168. Let c(a) = 24*a**2 - 35. Let d(q) = -24*c(q) + 5*h(q). Give y(d(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7557 + 11327 - 5661)*(-h + 3*h - h) to the form l*h + o and give l.\nAnswer: 13223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -95, -224, -405, -638, -923, -1260?\nAnswer: -1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 20*y**2 + 25*y - 41. Let x(m) = -m**3 + 21*m**2 - 25*m + 41. Let o(z) = -3*i(z) - 4*x(z). Let v be o(23). Solve -q + 3 = v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i + 3. Let q be b(-3). Let k be 2\/6 + (-28)\/q. Suppose t - 63 + 8 = k*x, 0 = -5*t + 3*x + 187. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 42, 133, 372, 831, 1582, 2697?\n\"Answer: 12*p**3 + 2*p**2 + p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 247 * -1369.\nAnswer: -338143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**5 + 2*y**4 - 2*y**3 - 3*y**2 + 2. Let a(t) = t**5 + t**4 - t**3 - t**2 + 1. Let w(c) = 2*a(c) - g(c). Find the third derivative of w(n) wrt n.\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48218879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k**3 - k**2 - 4*k - 2. Let w be h(-1). Let r be -693 + w + 2*1 + 0. Let j = 1353 + r. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.1 + -0.1. Let o = 36471 - 36476. Sort -5\/3, w, -0.4, o.\nAnswer: o, -5\/3, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1372*k - 878. Let x(l) = 2*l - 14. Let d(c) = 3*w(c) + 21*x(c). What is the derivative of d(s) wrt s?\nAnswer: -4074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 - (0 + (-1)\/1) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*k + 1)*(-3 + 1 + 3) + 2*k - k + 0*k + 0*k - 4*k + 3*k + 3 + k - 3 + (1131*k - 286 + 286)*(-4 - 2 + 4).\nAnswer: -2263*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 536, 1061, 1572, 2069, 2552, 3021?\nAnswer: 3476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 88885, 177765, 266653, 355555, 444477?\n\"Answer: w**3 - 2*w**2 + 88879*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -944 * 241.\nAnswer: -227504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70046.74 tonnes to micrograms.\nAnswer: 70046740000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/315*-57)\/((-28)\/210))\/(96\/(-112))?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 - 9*t**2 + 3*t**2)*(-9*t + 16*t + 33*t) + 3*t**3 - t**3 - t**3 to l*t + a*t**2 + i + q*t**3 and give q.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1, -0.3, 42?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-300)\/(-35) + 18\/42. What is the greatest common factor of 81 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*g**3 + g + 51*g**2 - 2*g - 16*g**3 + g**4 to n*g + z*g**2 + w + k*g**4 + t*g**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-63011)\/(-1221) + -51)*(-13 + 1)*(-3)\/8\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 21\/(-9))\/(1\/(-6)). Suppose -3*o + 171 = -3*z, 5*z = -o + 16 - 313. Let r = 71 + z. Is d less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42.13 - -69.2. What is n rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 7*t - 15. Let f = -4 - -3.9. What is the nearest to -0.1 in f, 5, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**3 + 7*g**2 + 7*g - 8. Let l be r(-4). Let s = l - 1047\/2. Let z = -11 - -16. Which is the closest to 0? (a) s (b) -18 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 - 45 + 5*i**4 - i**2 - 2*i + 4*i**3 + 78 to the form h*i + g*i**4 + t*i**2 + c*i**3 + u and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 16668600.5 to the nearest 1000.\nAnswer: 16669000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61\/1220 - 8\/160.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3*5\/(-25). Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7088.55 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5450071?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -12, -0.9, -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**2 + c**3 + 0 - 2 + 2 to the form t*c**2 + d*c**3 + z + q*c and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.1. Which is the nearest to 0? (a) z (b) 0.02 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/13, 4\/3, 0.9, -5\/3, -0.8 in ascending order.\nAnswer: -5\/3, -0.8, -3\/13, 0.9, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + f**2 - f - 4. Let l(k) be the third derivative of -k**4\/24 - k**3\/6 - 3*k**2 - 2*k. Determine -4*l(i) + s(i).\nAnswer: -i**3 + i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6202 or 0.06?\nAnswer: 6202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 2:50 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -26681635 to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 80352339 to the power of 1\/2, to the nearest integer?\nAnswer: 8964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4\/8 + 205*d**3\/4 - 21*d**2\/8 - 4295*d\/4 + 1025 = 0. Calculate d.\nAnswer: -410, -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2)*3) + 3.\nAnswer: sqrt(19)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 1)*((-340)\/110)\/(-17). What is the nearest to -1 in 2\/27, x, -0.09, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105037593307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/378 and -121\/162.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 10\/3757?\nAnswer: 10\/3757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110786 - 18611879\/168. Find the common denominator of -99\/14 and l.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2*(1 - 205). Let i = 151 - m. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/10 - (-3)\/(30\/(-2)). Let g(a) = a**3 - 6*a**2 - 9*a + 23. Let v be g(5). Sort c, 5, v in descending order.\nAnswer: 5, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 + 52123*q + 134 - 52122*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -696 = -13*h + 669. What is the greatest common divisor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16963, 16958, 16953, 16948?\nAnswer: 16943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + x + 48363 = 0. Let o = -124285\/18 - x. Calculate the common denominator of o and 25\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -15) + (70 - 73)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 1, y: 6, n: 3, l: 6}. Give prob of picking 2 y.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2612505 - -11653822.\nAnswer: 14266327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2909455 divided by 581891.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3703, 5076, 6449, 7822?\n\"Answer: 1373*d + 2330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is -782 less than or equal to -1.94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6837.244nm to micrometers.\nAnswer: 6.837244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 220730834 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 301 + -179. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20120220100010 (base 3) to base 13.\nAnswer: -957a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from {i: 2, a: 3, p: 3}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 75\/4 of a hour?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7211358 by -2178.\nAnswer: -3311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (45\/(-60))\/(2\/120). Let m = -40 - l. Solve -v - 23 = 5*u, -4*u + 11 = -3*u - m*v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 - 9*j + 2. Let n(u) = 3*u**2 + 10*u - 3. Calculate 5*i(a) + 4*n(a).\nAnswer: 2*a**2 - 5*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(357)\/(sqrt(21)\/sqrt(3)))\/(sqrt(12)\/(sqrt(4) + (sqrt(4) - sqrt(256)) - sqrt(4))*-1).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66824 (base 9) to base 2.\nAnswer: -1010110101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -0.3 (c) 91 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 + 3*g**2 - 1. Let s be p(2). Let i = s - -16. Suppose -i = -4*y + 3*y. Solve 18 = -y*f + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 21962*v**2 - 4 + v**3 - 43911*v**2 + 21945*v**2 + 4*v. What is m(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**5 + h**4 - h**3 + 2. Let m(a) = 12*a**5 - 4*a**4 + 20*a**3 - 44*a**2 + 48*a - 48. Let c(f) = -m(f) - 16*n(f). Let c(w) = 0. Calculate w.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.85 + 73.85. What is the nearest to 1 in -1, 1\/3, a, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8 - 7*r - 3 + 2*r + 5*r**2. Let s(p) = 5*p**2 - 4*p + 4. Let z(w) = 4*m(w) - 5*s(w). Let l(q) = -q - 5*q + 11*q - 7*q. Give z(l(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-780))\/((-2)\/(-9)*(-153)\/(-102))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -739 + 742. Let a = -1 - -6. Suppose 0 = -a*p + 5 + 5. Calculate the greatest common divisor of p and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 = 5*v - 3, 2*v + 5*r = -16. Suppose 5*x = -5*d + 765, -3*d + v*x = -684 + 210. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2691 divided by 47.\nAnswer: 2691\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-21 - 12) - 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 - 2*r**2 + 12. Let k(q) = -q**2 - 1. Calculate d(n) - 3*k(n).\nAnswer: 2*n**3 + n**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o**2 - 17*o. Let i(v) = -v**2 - 3*v. Let w(r) = 34*i(r) - 6*l(r). Let n(h) be the third derivative of -h**5\/30 + h**2. Calculate n(w(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 303, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-4) - (-3)\/(-6). Let w be x - (21\/15 + (-4)\/10). Let k(z) = z**3 + 7*z**2 + 8*z + 6. Let g be k(w). Which is bigger: g or 12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 6, p: 2, m: 3, q: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 108 and -407.8.\nAnswer: -299.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -114394 (base 13) to base 15\nAnswer: -813ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g - 5. Let m(c) = 16*c + 11. Let l(q) = 7*a(q) + 3*m(q). What is l(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, i: 1, s: 2, e: 1, w: 1, m: 1}. Give prob of picking 1 d and 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 7. Let s be r(0). Let a(b) = -b**3 + 8*b**2 - b - 2. What is the units digit of a(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011100 + 110101?\nAnswer: -10100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20122021201 (base 3) to base 16.\nAnswer: -1fe8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**4\/12 - 2*z**3\/3 + 5*z**2. Let k be b(-3). Is (-4)\/(-6) + k\/(-3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*14\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/10175 - 8587697\/30525. Is -280 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lttalllla. Give prob of picking 3 l.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 4:20 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, s: 4, k: 6}. What is prob of sequence ss?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 257514.6 - 257512.3400163. Let o = 2.26 - t. What is o rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (4\/2)\/(14\/(-7)). Suppose 4 + 2 = -f*h. Let l be -6*(2\/h + 1\/3). Solve -w + 0 = l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -0*k - 2*k. Suppose -52*v + 74*v - 814 = k. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/10 - -2) + (-12843154)\/(-115). Let h be 4050\/108*a\/(-6). Round h to the nearest ten thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123056?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2 - 1011*c - 14941. What is u(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 1:54 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422 - 34 = 31*f + 26*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -bb3?\nAnswer: bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -588 - -353. Let o = f - -230. Let h = -3.67 + 3.5. Sort h, o, 4\/7 in decreasing order.\nAnswer: 4\/7, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40563 + -14234. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 7:07 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3894*i - 826. What is the tens digit of h(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 5:48 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*20\/(-400)*2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4585 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3 - 22*b**2 - 76*b - 72 = 0?\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2399965\/14 or 171426?\nAnswer: 2399965\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 10*v**2 - 9*v + 17. Let t be r(-11). Suppose h = 5*y - 19, 4 - 15 = 5*h - 4*y. Suppose 5*w = -3*p + h, 0 = -5*w + 2*p - 4*p + 4. Sort w, t, 5.\nAnswer: t, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-8))\/(1\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-6)\/(-7 - -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, g: 2, s: 1, v: 3, w: 8, c: 3}. What is prob of sequence sg?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 0*c**2 - c - 2*c**2 + 3*c**2. Let r(t) = -2*t**2 - 2*t**2 + 9*t**2 - 7*t. Determine 6*d(o) - r(o).\nAnswer: o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3093714, -3093692, -3093670?\nAnswer: -3093648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g - 98 = -39*g. Let v = -46 + g. Suppose -v + 11 = 4*i. Solve 3*r = i*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19411 times -1.2?\nAnswer: 23293.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -142*b**2 - 1\/8*b**4 - 11\/6*b**3 - 29\/12*b**5 + 0 + 2*b. What is the second derivative of r(d) wrt d?\nAnswer: -290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8924, -17849, -26774?\n\"Answer: -8925*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-10)\/x*x*x*x\/x**1*x assuming x is positive.\nAnswer: x**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*v - 68 = 0, 56 = -7*f + 2*f + v. Let w be ((-16)\/f)\/((-2)\/(-6)). Suppose a + 2*a - 5*o - 260 = 0, 335 = w*a + 5*o. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 11) to base 14.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*b = 77, o - 62 = b - 4*b. Let j = o + 56. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - -1*(1 + sqrt(931))) + 2.\nAnswer: 3 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from {y: 2, i: 1, v: 3, l: 6, q: 1, e: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**2\/2 + 4*d - 2. Let c(p) = 1. Let y = -115 + 114. Give y*z(w) + 3*c(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**6 - 538*b**4 + 538*b**4 + 9*b**2 wrt b?\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/1 + 119 + 12\/4. Let r = x - 133. Suppose 2*n - 8 = -22. Is r not equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 9:45 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -19*w. Let k(q) = -41*q**3 + q. Let y be k(-1). Let r = 44 - y. Let n(x) = -x**2 + r*x**2 - x**2. Calculate l(n(h)).\nAnswer: -38*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1704 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 107087433 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a millimeter in micrometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 7. Let h be s(5). Let a(r) = -r**3 - 10*r**2 - 23*r + 8. Let y be a(-8). Let n be (y\/h + -2)*100. Round n to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1166219320 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*b + 9, 5*z = 4*b + 11 + 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a = 4*d - 38, 5*d + 2*a - 44 = 0. Suppose 2*f = 4*v - d, 3*v + 0*f - 19 = -5*f. Solve -v*m - 1 + 4 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39186\/(-3110)*30\/(-3)*16\/24?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -31*m + 23*m. Suppose m*k + 104847 - 608847 = 0. What is k rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2. Let p(b) = -397423*b**2 + 2. Give p(v(g)).\nAnswer: -397423*g**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*z - 21*z - 3091 = -557 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1309 + 1308 + y**3 - 3911 + 1294 + y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 342. Suppose -j - 2*j + 3*g = -f, -3*g = -j + 42. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 + a**3 - 5*a**3)*(-a + 733 - 736 + 2*a).\nAnswer: -a**4 + 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i - 1. Let s be a(1). Let t be (0 - 0)*2\/(-4). Suppose l - 5*p - 4 + 1 = 0, -5*l - 4*p + 15 = t. Solve 5*r - s*f - 20 = 0, -r - f = 3*r - l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -26\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15516 and 1059948.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 868?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2113011100 (base 4) in base 7?\nAnswer: 5155114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21658.5 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 992*y - 327*y - 332*y - 29*y**3 + 2*y**4 + 4*y**2 - 335*y - 3*y**2 to m*y + u*y**3 + o*y**4 + q*y**2 + r and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 787.5 - 6.\nAnswer: 781.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 268*r**2 - 19*r + 106. Let p(t) = 271*t**2 - 16*t + 105. Let o(v) = -2*f(v) + 3*p(v). What is the second derivative of o(m) wrt m?\nAnswer: 554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -11*b**4\/12 + b**3\/6 + 3*b**2\/2 - 1108*b. Let i(k) = -k**2. Give -4*i(s) + p(s).\nAnswer: -7*s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 divided by 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 4*i + 7, -35 = -3*v - 2*v + 5*i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 33*d - 18*d + 9*d. Let g(v) be the first derivative of -v**2\/2 + 3. Calculate g(q(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0585504467 to 5 dps.\nAnswer: 0.05855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, 166 in ascending order.\nAnswer: -9, -5, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - x**3 + x**3)*(x**2 - 8 + 8) - 2*x**5 + 0*x**5 + x**5 + (-x**3 + 0*x**3 + 0*x**3)*(-6*x**2 + 13*x - 13*x).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {j: 1, w: 3, g: 6, b: 4, d: 3, m: 2}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2448) + (sqrt(2448) - (-1 + sqrt(2448)))*-5 - sqrt(2448)*4*2*-1)*-6)**2.\nAnswer: -38880*sqrt(17) + 7139268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -3. Let n be 2 + -4 - (3 + u). Let w = 7 + -10. Sort n, 2, w in descending order.\nAnswer: 2, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6567\/(-22))\/((-4)\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*-4\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**5\/20 + 5*k**4\/6 - 3*k**3\/2 + 11*k**2 + 255*k. Let u be l(-11). Solve 16 = 4*i - u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85245446 and 143?\nAnswer: 85245446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 162, -282, -1492, -3852, -7746, -13558, -21672, -32472?\n\"Answer: -64*s**3 + s**2 + s + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184439506?\nAnswer: 2, 89, 443, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((2 + -4 - -9) + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2598, -10368, -23324, -41472, -64818, -93368?\nAnswer: -127128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a - 10. Suppose 2*s + 29 + 86 = 5*q, 0 = q + s - 30. Let x be (54\/(-15))\/((-10)\/q). Is d(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/(((-10206)\/36)\/63*(15\/(-27) + 1)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = -6. Suppose -5*r + u = -3*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydbp when four letters picked without replacement from {d: 1, c: 2, y: 1, b: 1, k: 1, p: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j. Let k(a) = 4*a. Let v(c) = -2*c**2 - 14*c - 2. Let g be v(-7). Calculate g*k(y) + 3*x(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q**5 + q)*(-1 + 1 - 1) - 2*q**5 - q**2 + q**2 - 3*q**5 - 3*q**5 + 4*q**5 + (-q**3 - 4 + 4)*(6 - 5 + 44*q - 2)*(-36 + q + 36).\nAnswer: -47*q**5 + q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -48. Suppose 7*q = -26 + x. Is 5 a factor of 2\/((6\/(-5))\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 - -0.2. Which is the smallest value? (a) p (b) -1 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 501*k**2 - 23*k. Let y(g) = -2*g. Give y(h(d)).\nAnswer: -1002*d**2 + 46*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngcgc. Give prob of picking 1 n and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79 and 1817?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d**2 - 20 - 81 - 9)*(-2*d**2 + 190*d - 91*d - 97*d) as q*d + u*d**4 + w + i*d**2 + h*d**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**3 + 3*j**3 + j**3)*(-30 - 83 - 71)*(j - 4 + 4) as x*j**2 + r + k*j + b*j**3 + o*j**4 and give o.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 2*o + 2. Let f be i(4). Let t(n) = n**3 - 11*n**2 + 4 + 1 + 5 + 9*n. Let r be t(f). Sort -3, 3, r in descending order.\nAnswer: 3, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + -23. Let h = s + 45. What is the highest common divisor of 54 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -5, -309, 119, -0.4, -8 in increasing order.\nAnswer: -309, -8, -5, -0.7, -0.4, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from guuuuugugggu. What is prob of picking 2 u and 2 g?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcc when three letters picked without replacement from ffc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bab30 + 5a?\nAnswer: bab8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wywp when four letters picked without replacement from {h: 2, n: 1, w: 5, p: 1, y: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27, -130, -301, -540, -847, -1222, -1665?\n\"Answer: -34*y**2 - y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214 a factor of 2720574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 2*o + 2. Let n be z(0). Suppose -n*m = -5*m + 180. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 6*v + 1. What is c(10)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 970268 and 4888.\nAnswer: 1940536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -640.\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - (-420 + -9)) + 4*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 148.46944.\nAnswer: 148.26944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2274258, -9097049, -20468364, -36388203, -56856566, -81873453?\nAnswer: -111438864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c + 3*c = 0. Let t(f) be the second derivative of f**3\/6 + 83*f**2\/2 - f. Is t(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*r = 1377, 1372 = -2*q - 2*q - 4*r. Let o = q - -588. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -47. Find the first derivative of 8 - g*t + 7 + 3*t wrt t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/3*(-1)\/15*2. What is the closest to 1 in i, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53722.6074+-216290\nAnswer: -270012.6074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 1, b: 2, t: 2, e: 1, x: 1}. Give prob of picking 2 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4596*y**2 + 2293*y**2 - y**3 + 3*y**3 + 2303*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 7. Calculate the remainder when 65 is divided by c(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c - 96 = 0. Let o = 14 - -18. What is the greatest common divisor of c and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 - 235 = -5*g. Solve -3*l + g*l + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6928, -7340, -7752, -8164, -8576?\n\"Answer: -412*r - 6516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -283797532\/1755 + 161708. Let s = t - 28447\/3510. What is the common denominator of s and -101\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-10)\/(2\/1). What is the closest to 1\/3 in -10, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -54 - 56 - 61 + 164 - 5*s. Determine z(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 18*q - 103. Is f(25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 4, 1110 in ascending order.\nAnswer: -3, 1, 4, 1110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/8)*p*p**(-2))\/(p**(2\/7))**(-40) assuming p is positive.\nAnswer: p**(563\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184707 is divided by 1620.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*s - 30, 10*s - 8*s + 35 = d. Let z = -38 + 55. Calculate the remainder when d is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 1:24 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 16, f: 2}. What is prob of sequence cfc?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*n*v**3*z + 13*n*v**3 - 219*n*v**2 - 81*n*z + 7300*v**3*z + 8*v**3 + 3*v**2 + 722*v*z wrt v?\nAnswer: -30*n*z + 78*n + 43800*z + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -176, -25, 290, 769, 1412, 2219?\nAnswer: 3190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = j - 16, -4*j + 0*x + 103 = -x. Let d be (11 - 224)*(-2)\/3. Let c = d + -44. Calculate the remainder when c is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2290 and 260.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3078, -6099, -9120, -12141, -15162, -18183?\n\"Answer: -3021*c - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 106, -1, 13, -2, 0, -9 in descending order.\nAnswer: 106, 13, 6, 0, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/40 and 67\/16192?\nAnswer: 80960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 758 + -741. Solve -3 - f = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 78 = -5*j - 27, -2*q + 68 = -4*j. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 4, -2 in increasing order.\nAnswer: -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -10 - 36 + 5*f**2 - 6*f**2 + 1 - 16*f. Let d be (4 - 1) + (-3 - 12). Let t be w(d). Solve 5*r - 2 = t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 1:50 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2 + 4*l + 4. Let r(s) = 6*s**2 - 5*s - 5. Let z = -74 - -70. Calculate z*r(h) - 5*q(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26382249?\nAnswer: 3, 17, 172433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/22 - 101\/638. Which is greater: x or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 361 + 101. Calculate the greatest common factor of l and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13083673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*y = 298, y + 6 = 9. Calculate the greatest common divisor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l + 2*l)*(-2*l + l + 3*l) + 2 - 2 - 3*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000052984 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187159048 and 344.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/24)\/((-12)\/(-20))*8\/28?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2054868358 to the nearest integer?\nAnswer: 45331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -12*g**2 - 16*g - 36. Let c(m) = -5*m**2 - 8*m - 18. Let q(n) = -5*c(n) + 2*w(n). Let i be q(-4). Solve -6 - 12 = v - 4*a, i*a = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4 + 14 = -15*v + 6, 0 = 2*s + 3*v - 12 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.45 + 13.22. Is -0.07 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 196080563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4506 = -946 + 41143. Is 26 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-18)\/192)\/((-18)\/8)*(-72)\/(-56)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let f = 69229\/10 + -6923. What is the biggest value in -3, t, -0.7, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12*b - 269. What is j(25)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 + (-13915)\/(-207) + (2\/9)\/(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016721 rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/94 and -19\/5.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 0.4, 1, -0.1 in ascending order.\nAnswer: -2\/13, -0.1, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = -2*u - 0, -5*u - 3*d + 30 = 0. Solve f = -u*p - 1, 5*p - 5 = -f - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j + 4*h - 108364 = 18*j, 0 = j - 12*h - 27078. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*f + 12, -5*g - 2*f = 14 + 14. Let h = -4 + 3.3. Let c = h + 1. What is the third smallest value in g, c, -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(4\/(2 - -2))\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2034 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6 (b) 2 (c) -1 (d) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a century in months?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)*1 - sqrt(504))*2*2)\/(-1*(-1*sqrt(800) + sqrt(8)))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n + t - 7 = 0, 4*n - 37 = 5*t. Let i = -23.8 - -24. Which is the nearest to 1? (a) n (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:59 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -309637000 rounded to the nearest one million?\nAnswer: -310000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 954 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3 = -i - 6, -4*i = -4*f + 20. Let j be i + 78\/12 - (-1)\/2. Let -1\/2*x**5 + 2*x**3 + j*x**4 - x**2 + 1 - 3\/2*x = 0. Calculate x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -352313183*l**5 + 251127161*l - 1?\nAnswer: -7046263660*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -706600 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*r**5 + 365229*r**4 - 5*r + 1763281.\nAnswer: -560*r**3 + 4382748*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1261775 (base 8) to base 16\nAnswer: 563fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(66) - sqrt(66)*3) + sqrt(66))\/sqrt(6) + sqrt(396) + 0)**2 - (3*(sqrt(121)*-1 + sqrt(121) + sqrt(121)))\/(sqrt(11)*-1*5)) + 5.\nAnswer: 3*sqrt(11)\/5 + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8*v**2 - 30*v + 1. Let j be r(4). Suppose j*c + 296 = 17*c. Sort c, -1, -5, 1.\nAnswer: -5, -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + 2)\/((-2115990)\/(-111367) - 19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m - 10. Let n be a(3). Let z be (1\/(-2))\/((-2)\/n). Suppose -5*u - z*o + 11 = 0, -u - 6*o = -3*o + 3. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16 + -13)\/((7 - 3)\/4). Suppose 0 = -a*j + 3529 - 877. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 4434995*t - 8870010.\nAnswer: 5*(t - 2)*(t + 887001)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -25*f**2 - 2*f + 3. Let q be d(4). Let r = -229 - q. Suppose 0 = 4*h + 2*b - r, 0*h + 3*h = b + 127. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172a198 (base 13) to base 8.\nAnswer: 34502536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537568346.\nAnswer: 2, 7, 113, 373, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 561 (base 13) to base 5\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 - 812*y\/11 + 74.\nAnswer: -2*(y - 1)*(y + 407)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 1\/1008*y**8 + 0*y - 1\/120*y**6 + 0*y**3 - 1\/18*y**4 + 0 - 1\/315*y**7 + 52*y**2 + 2\/45*y**5. Factor w(t).\nAnswer: t*(t - 2)*(t - 1)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4829.2 rounded to the nearest 10?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 4. Let b be f(2). Let p be (5 - 2 - b) + 0. Suppose p = -m + 2*y, -2*m - 4*y + 1 + 5 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -220*s. Let b(n) = 7*n**2. Give c(b(p)).\nAnswer: -1540*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*c**2 + 2*c**3 - 5 + 5 to a*c + y*c**3 + n*c**2 + x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 1. Let d(r) = -3*r - 9*r + r + r. Let k(h) = -d(h) + 4*t(h). List the prime factors of k(8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -19. Suppose -5*f + 5*i - u = -6, -f + 3*i - 11 = 0. Let k(p) = -19*p. What is k(f)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 5*k = 9. Let x be (-7)\/k*(-5 + 11 + 6). What is the greatest common divisor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 36 = -5*i - 73, 2*i = -3*d + 2. Let y be (2\/((-12)\/(-2)))\/(-1). Which is the closest to -0.08? (a) 0 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w = -4*l - 4, 5*l = 4*w - 36. Suppose 0 = -4*k + w*h + 68, -k - h = -3*k + 32. Let y = 41 - 26. Calculate the greatest common factor of k and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q**3 + 644*q**2 + 8030*q + 23716 = 0.\nAnswer: -49, -11, -22\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4527 + 143*l**2 - 4527 - 141*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 344, 1, 0, 15.\nAnswer: -1, 0, 1, 4, 15, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 58*k**2 - 386*k + 210. Calculate u(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13113 is divided by 503.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:37 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.046758*-0.1.\nAnswer: 0.0046758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 88\/47 (b) 64 (c) -0.1 (d) 4 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 29579.\nAnswer: 8873.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -13*c**2 + 28*c - 28. Let r(z) = 7*z**2 - 14*z + 14. Let y(l) = 11*r(l) + 6*t(l). Determine y(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83373345?\nAnswer: 3, 5, 11, 43, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, -889468, 0 in increasing order.\nAnswer: -889468, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*x + 4*x = 67905, 3*x = 0. Let m be (-2036513)\/(-90) - 3\/15. Let a = p + m. Find the common denominator of a and -1\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100610599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233413144 (base 5) to base 3.\nAnswer: -2000200001200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 15 - (-3 + 17 - -2) - (67 - 4).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -132?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/12*(1 + -3). Is w + 2 - (3 + -30) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67999834 to the power of 1\/2, to the nearest integer?\nAnswer: 8246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -16, -3, 36, 113, 240, 429?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 459\/(-3060)*(192\/27)\/(-4).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 168\/(-18)*(-90)\/7.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1285642.9 rounded to the nearest ten thousand?\nAnswer: -1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 319, 444, 591, 772, 999, 1284?\n\"Answer: 2*s**3 - s**2 + 114*s + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 + 4*y - 1. Suppose 0 = 5*a + 10. Let m be (3\/5)\/(a - 99\/(-45)). Calculate f(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - i - 4*i)*(8*i**3 - i**3 - 2*i**3)*(-2 + 2 - 1) - 8*i - 2*i**4 + 8*i.\nAnswer: 43*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t - 70. What is q(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/40)\/((-6)\/(-2))*4.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 693555 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 7*k**2 + 4*k + 10. Let o(n) = n**2 + n - 1. Let j(m) = 4*o(m) + v(m). Let q be (-3)\/(-2) + (-26)\/4. Is j(q) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - f)*(28*f**2 - 3*f + 3*f)*(5 - 5 - 2*f).\nAnswer: 56*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in 29\/10, -1\/11, -5, -1\/2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 69\/4?\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10032 by -912.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1 + 2 = 0. Let a(j) = -35*j**3 - 6*j**2 + 16*j + 11. Let b(n) = -7*n**3 - n**2 + 3*n + 2. Let c(r) = -2*a(r) + 11*b(r). What is c(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 21 - -10*(1 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6*z + 420. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14416849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 83*w - 2902. Let x be z(35). Let r(l) = l - 1. Let m be r(3). Suppose g - 66 - 443 = -2*s, -765 = -x*s - m*g. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/4 + 9*d**4\/4 + 29*d**3\/4 + 43*d**2\/4 + 15*d\/2 + 2.\nAnswer: (d + 1)**3*(d + 2)*(d + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 5. Let o(g) = 3*g - 7. Suppose 0 = -32*b + 29*b + 15. Let w(y) = b*o(y) + 7*l(y). Let f(p) = 2*p**2 - 45*p. Determine w(f(t)).\nAnswer: 2*t**2 - 45*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27724551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 13*j**2 - 92*j + 299. Let p(l) = 3*l**2 - 23*l + 75. Let i(s) = -9*p(s) + 2*y(s). Let x be i(4). Which is smaller: x or 9\/20?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**3 - 128*u**2 + 336*u - 50. What are the prime factors of p(27)?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1547068?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2203*h + 400 + 4443*h - 400 - 2280*h.\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -1248 and -109 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00038820375 rounded to 5 dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 988799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(78) + (sqrt(78)*1 - sqrt(78)))\/sqrt(6) + -3)**2.\nAnswer: -22 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10*f**2. Let a(j) = -14*j - 8. Let w(d) = -266*d - 154. Let i(p) = 77*a(p) - 4*w(p). Give b(i(y)).\nAnswer: -1960*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9038 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = -867*g + 431*g + 417*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 401\/15 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*h - 0*h. Suppose r + 6 = h. Let m be 4\/(3\/(-36)*r). Solve -m + 4 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37720142?\nAnswer: 2, 2311, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 407948039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -3*y**5\/10 - 13*y**2. Let p(h) = -2*h - 3. Let m(c) = 7*c + 12. Let w(r) = -3*m(r) - 12*p(r). What is w(i(o))?\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-2 - -10)) + 5 - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*((sqrt(75)*-2 + -1 - sqrt(75)) + sqrt(75)) + 3)**2.\nAnswer: -200*sqrt(3) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -409, -926, -1649?\nAnswer: -2578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 8:56 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2005 + -2001. Factor 0 - 2\/17*z + 4\/17*z**3 + 0*z**t + 0*z**2 - 2\/17*z**5.\nAnswer: -2*z*(z - 1)**2*(z + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 9:33 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 410 = -0*f - 2*g, -5*f = -3*g - 715. What is the greatest common divisor of f and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + (-4 - -9))*-1. Solve -3*a - 4*o - f = 0, 6*o + 2 = 4*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 + 708. List the prime factors of i(0).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**4\/12 - b**3\/3 - b**2\/3 + 26. Solve w(k) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*t - 79 = -524, -74 = -l - 2*t. Let y be ((-3)\/4)\/((-3)\/l). Suppose 0 = -2*q + y + 3. Solve -q = -4*o - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362583103.\nAnswer: 362583103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106825.\nAnswer: 5, 44273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19762 + 79*a - 19762 + 55*a**2 to the form g + r*a + o*a**2 and give r.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -2, -5, 318 in descending order.\nAnswer: 318, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 4*b + 3 - 12, 2*x - 4 = 2*b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1815 divided by -165?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 7*o**2 - o - 3. Let v be h(-7). Let m(f) = -2*f - 4*f + 5*f**2 + 4 - 4*f**2 + 0*f**2. Calculate m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvyyyryyyrrrryvrry. Give prob of picking 4 y.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 23*k + 234. Give a(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.5 - -14. Let l = w - 1.6. Let h = l - -0.100076. Round h to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**4\/4 - 1515*h**3\/2 + 3026*h**2 = 0.\nAnswer: 0, 4, 3026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4716 - -0.3.\nAnswer: 4716.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.4 + -12.6. Let x = 30.00113 + r. Round x to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ba - 3?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 247*b - b**3 + 125*b + 121*b. Let m(x) = -6*x**3 - 4*x**2 - 4*x + 2. What is -m(a) + 4*v(a)?\nAnswer: 2*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 63530*k**2 + 202815685*k - 6425211040.\nAnswer: 5*(k - 6337)**2*(k - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -15*m + 26*m. Let d(c) = -4*c**3 - c - 2. Let o(u) = -5*u**3 - u**2 - u - 2. Let b(p) = 4*d(p) - 3*o(p). Calculate b(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 l, 1 d, and 1 n when four letters picked without replacement from {v: 6, l: 6, m: 5, d: 1, n: 1, a: 1}.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h**3*p**3 + 2*h**3*x**3 - h**3 + 110*h**2*p**3*x**3 + 16*h*p**3*x - 3*h*x**2 - 2908*p**3*x**2 + 233*x**3 wrt x.\nAnswer: 12*h**3 + 660*h**2*p**3 + 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133373113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, f: 1, g: 10}. What is prob of picking 2 g and 1 f?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j + 5. Let z(p) = -2. Let b(c) = 3. Let n(u) = -5*b(u) - 8*z(u). Determine -6*n(f) + v(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 - -5 - -3 - 1 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6658 + 0.06?\nAnswer: -3.6058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*x - 6, x - 44 + 12 = -5*c. Let n(g) = -6 - 8 - g - g**2 + 2*g**2. Let i be n(c). Solve 6 = 3*h + 3*s, i = -4*h + s + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (834\/1251)\/((-56)\/12)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d**3 + 955*d**2 - 6*d - 6. Let t(y) = 6*y**3 + 954*y**2 - 5*y - 5. What is -5*o(f) + 6*t(f)?\nAnswer: f**3 + 949*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 6, 4*n = -3*d + d - 74. What is the units digit of 2\/n - (-40726)\/238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9405 is divided by 2936?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.437 - -0.063. What is the second smallest value in 4, p, 6\/7, 4\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -164*g + 2810. Let s be d(17). Solve 2*l - 4*w + 18 = 0, -l + s*w - 25*w = -6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 134\/(-670) + (-14)\/(-160)*-2.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -46*q + 491. Let z be y(9). What is the greatest common divisor of 55 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3822*b + 133812 + 100730 = 77840 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 + 339 = 6*m. What is the greatest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {h: 3, w: 1, r: 4, v: 3, p: 2, b: 6}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 55360?\nAnswer: -55356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*z - 128 = 0, -p = 2*z - 29 - 3. Suppose -3*n - m + 27 = 0, -3 = n + 4*m - 23. What is the greatest common divisor of p and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1244393, 1244398, 1244403, 1244408?\nAnswer: 1244413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from wcww?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73372*p**4*t**3 - 79*p*t**3 - 2788411*t**3 - 2 with respect to p.\nAnswer: 293488*p**3*t**3 - 79*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -53106 (base 12) in base 10?\nAnswer: -109014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -417927983 minus 366?\nAnswer: -417928349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -30343020?\nAnswer: 30343024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 0*v = -v + 8, 15 = 3*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6675 - 66751\/10. Which is the third biggest value? (a) x (b) -4 (c) -411\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2485784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -20*r**2 - 14*r**2 - 4*r**2. Let x = 341 - 336. Let d(v) = -11 + 8 - x*v + 3 + 3*v. Determine p(d(h)).\nAnswer: -152*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158227\/80598 - -25\/1919. What is the common denominator of s and (-48)\/(-216)*(3 - 1)*10\/(-35)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.8 + -8.5. Let n = -0.3 + v. Let r = 13\/70 + 3\/14. Are n and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.135 and 280824.\nAnswer: 280823.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 1537.67653631.\nAnswer: 1537.17653631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120*r + 4*r**6 - 120*r - r**2 wrt r.\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-10))\/(6\/(-90)). Is (6\/a)\/(2\/(-474)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose 5*g + 16 = -3*d, -4*d + j*g + g = -27. Suppose k = -0*k + d. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6150486512 to the power of 1\/5, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teet when four letters picked without replacement from {t: 2, e: 6, r: 1, j: 3}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 7684?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 564 + 10?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 9207 - 32026 = 2579. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*n - 25, 3*n = -4*q + 2 - 3. Let k = -5 - n. Which is greater: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-3\/4)\/(r**0)**(-2\/67))**(16\/5) assuming r is positive.\nAnswer: r**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -1. Let v be (s\/9)\/(2\/6). What is the units digit of 4\/v + (0 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*c - 0*c. Let r be (1 - c\/(-5))\/(27\/(-90)). Suppose -a - r*t = -21, -2*a = -3*t + 8*t - 30. Solve -3*j - 2*j = -a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -4*y**7\/7 - 8*y**3\/3 - 1. What is the third derivative of d(z) wrt z?\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/2 of a meter in millimeters?\nAnswer: 11500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -498.0263 - -498. What is q rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 1, -0.2, 2.122 in increasing order.\nAnswer: -0.2, 1\/11, 1, 2.122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -4, 6, 1\/4 in decreasing order.\nAnswer: 6, 1\/4, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.09 + 0.09. Let g = -3.8 - b. Let a be ((-3)\/13)\/((-3)\/(-2)). What is the biggest value in a, -0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g - 44*g - 1 = -a, 3*g - 4*a + 14 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/(-22)*(-2404)\/6. Let c = 860 + t. What are the prime factors of c?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2376617207 to the nearest integer?\nAnswer: 48751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60538609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {v: 1, w: 3, r: 4, z: 2, j: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 3. Suppose q - 3*n - 49 = 0, -r*q + 4*n - 3*n = -273. What is q rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*x - 6 = 0. Let z = 1 - x. Suppose 14 + 13 = z*u. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*r + 2. Let b = -5 + 24. Let s = b + r. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 19*w**2 - 992*w - 5018. Determine p(-5).\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Suppose r = -2*j + 4*j. What is the remainder when -4*(86\/(-8) + j) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34650 and 19635?\nAnswer: 589050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 313480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -41 - 3*u + 4*u + 145. What is the remainder when y(-21) is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d - 3 = 0, -4*a = 3*d - 1523. Is 51 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d5461 (base 15) in base 6?\nAnswer: 50433114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-14 + -57))*17\/34.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -283*g. Let x(c) = -73*c. Calculate j(x(s)).\nAnswer: 20659*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 6*t**2 - 6*t - 3. Let y be s(-5). Let q(i) = i - y*i + 3*i. Let p(f) = -4*f. What is p(q(a))?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**8\/504 + 4*k**7\/315 + k**6\/180 - 7*k**5\/45 - 5*k**4\/9 - 8*k**3\/9 - 2*k**2 + 83*k - 2. Determine t so that v(t) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 8. Let y = 12 + j. Suppose -4 - y = -i. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -283 - -285.83. Let r = a - 0.56. Round r to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*z = 18*z - 4240. Solve 16*v = 26*v + z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.47624411 - 0.1.\nAnswer: 0.37624411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 + -86.57. Let x = -7.03 - -7. Let n = x + q. What is n rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 27\/15)\/((-84)\/70). Let r(x) be the third derivative of 0*x - 4*x**2 - 1\/60*x**6 + 1\/4*x**4 + k*x**3 + 0 + 0*x**5. Solve r(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqoqqqoqqoqoqqqqq. Give prob of picking 1 o and 1 q.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1002 + -11?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13446011 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 3*8\/12)*1. Let d(v) be the second derivative of h*v**5 + 0 - 1\/10*v**6 - 3\/2*v**2 - 4*v + 0*v**3 + 1\/2*v**4. Factor d(m).\nAnswer: -3*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p**2 - 12*p - 85. Give g(-5).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18812*y**2 + 2*y + 136?\nAnswer: -37624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + c = 0, 10*t - 5*t + c = 0. Put -2, t, -3 in descending order.\nAnswer: t, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1934991 and 1581.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 688583953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-3)\/(-4)) + -2. Suppose -3*v = -2*v + z. Let f(s) = 4*s**2 + 4*s + 2. What are the prime factors of f(v)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8890.7*-1\nAnswer: 8890.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4641)\/(-238)*(-2)\/8 + 2\/(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/12301676 and 39\/272.\nAnswer: 49206704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aftnttlafftt. What is prob of picking 1 a, 1 f, 1 t, and 1 n?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -270240 to the nearest 1000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1661.9 to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*1)\/(94\/(-141))*(-2)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 2*y**3\/3 + 8*y**2 + 7*y + 167. Let u(t) = t**2 + 11*t + 5. Determine 5*l(q) - 7*u(q).\nAnswer: 3*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 - 6.8. Which is the second smallest value? (a) r (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 11. Let s(b) = 1. Let g(f) = 2*s(f) - t(f). What is the units digit of g(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -8. Suppose -3*s = -m*r + 229, r - 3*s = -s + 61. Calculate the highest common divisor of 22 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -7 (b) -207816 (c) -1\/7 (d) 2 (e) -3 (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h + 352. What is u(-44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6286, 25021, 56218, 99895, 156070, 224761, 305986, 399763?\n\"Answer: 3*a**3 + 6213*a**2 + 75*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4\/((l\/(l*l**14)*l)\/l))**(2\/29) assuming l is positive.\nAnswer: l**(36\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*(1 - -1). Let q(l) = -5*l**3 + 3*l**2 + 3. Let o(z) = -9*z**3 + 5*z**2 + 5. Give g*o(k) - 5*q(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 15*q - 18*q. Let f = 0.9 + 3.1. Which is the fourth smallest value? (a) f (b) -2\/13 (c) -0.7 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let z = -3 + u. Which is the closest to z? (a) 0.4 (b) -1 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9*u + 1 + u**3 + 6*u**2 + 10 + 3*u**2. Let p be z(-8). Solve 3*n = p*q + 6, 3*n - 22 = -3*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -244456846*l*p - 31*p - 1294759 wrt l?\nAnswer: -244456846*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13103 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10809, 22926, 35061, 47214, 59385, 71574?\nAnswer: 83781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 = -4*d + m + 255, 0 = -2*d + m + 16. Solve 4*l + 18 = 2*n, 0 = 4*l - d*n + 6*n + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 59. Let l be m(-4). Which is greater: 51 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 33*x + 154*x**3 + 33*x.\nAnswer: 154*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8 (b) -0.1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.18 and -3\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-77)\/(-10))\/((-12)\/20*2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-4 - -8) - (-5 - -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 957773 and 1.3?\nAnswer: 957771.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 19 = -4. Suppose 4*t - 3*u - 30 = -u, -12 = -3*t + x*u. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 691 - 329.66. Let l = -358 + c. What is l rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4954770.\nAnswer: 2, 3, 5, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*s - 80 - 8*s + 80 as v*s + m and give v.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) 0.3 (c) -2\/29 (d) 15\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-12)\/(-27)*3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -573 - -996. Let p = v + 4904. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 13*o**2 + 16*o + 30. Let f(u) = 7 + 8*u + 7*u**2 + 11 - 3. Let s(j) = -5*f(j) + 3*h(j). Is s(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3733.32 to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l + 3*f - 122866, -35*f = 3*l - 33*f - 46080. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24605 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {x: 9, a: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37504426 divided by 1.\nAnswer: -37504426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -103312 (base 6) to base 4\nAnswer: -2011130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3298086739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**5\/15 - 662*r**4\/15 - 19382*r**3\/15 + 84862*r**2\/15 - 21784*r\/3 + 44104\/15 = 0.\nAnswer: -298, -37, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 3\/62, -6, 1\/4, 5, -28?\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4495874.4 rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 - -337\/5. Which is the closest to r? (a) -1\/7 (b) -0.1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 36*b + 1325. Let i be o(54). Calculate the greatest common factor of i and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 10*u + 8209. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729442123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885041907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70.9 - 67.324. Round b to 1 dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from wcqwquw?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence weco when four letters picked without replacement from {o: 6, e: 1, c: 2, m: 5, w: 2}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o. Let m(p) be the second derivative of -5*p**4\/12 - 15*p. What is m(f(c))?\nAnswer: -80*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*((2*y - y + y)*(2 - y - 2) - 3*y + 3*y - 10*y**2) to b*y**2 + i*y + z and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b. Let x(u) = 7*u - 23. Let s(n) = -8*n + 24. Suppose 20*w = 10*w - 50. Let f(g) = w*s(g) - 6*x(g). What is t(f(v))?\nAnswer: -2*v + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 283863005 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0035037 rounded to 2 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 1534779263.\nAnswer: -1534779266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*a - 876 = -12*a + 3*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111 + -20?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/330 and 64\/385.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 20 - 1 = 0. Let p = -3 + 3. Let u = 0 + p. Solve -o*q - 3 = -u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7370 divided by -5\nAnswer: -1474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-125)\/(-20) + 1\/(-4). Let l(t) = 6*t - 4 - t**3 + 3 - t**2 + 6*t**2. What is l(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 18, 5, -511\/10.\nAnswer: -511\/10, -2\/7, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1.3 (b) 1\/9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -58697 + 12?\nAnswer: -58685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 4*h + h - 3*h)*(-243 + 243 - 13*h**2).\nAnswer: 130*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 15, s: 5}. Give prob of picking 2 c and 1 s.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.21 + 11.79. What is the closest to 1 in -1, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 977.615 weeks?\nAnswer: 591261552000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = 4*g. Let l(v) = 4 - v + 2 + 3. Determine l(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 3*p**2 - 2*p**2)*(-2 - 6 + 4) + 0*p**2 + 0*p**2 + p**2 - p - p**2 + p + (5 - 5 + p**2)*(2 - 2 + 2).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*f - 2*i, -3*i + 10 = 2*i. Suppose -y = f - 0. Let m = y + 26. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 8394 = -3*k - 8906, 2*p = -5*k + 6920. Is ((-2)\/(-8))\/(3\/p)*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 81.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + a**2 - a. Let t be 0\/(-3 - (-2 + 2)). Let y be l(t). Suppose y = s + s - 94. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7 - 8 + 3*s - 2*s. Suppose 5*q + 11 = -4*h, -2*q - 5*h = -4*q + 22. Let n be z(q). Solve n*k = k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 13*p**2 + 14*p + 47. Let n be k(-12). Suppose 27*d = n*d + 1768. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 12) to base 3.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*6.8\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -7, 156\/17, -1, 1\/4, -4, 3\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3, 2\/41, 1\/3, 76?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 6:52 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 z, and 1 a when three letters picked without replacement from zzllllizmazmzzzakiml?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152 - -156. Let u = 14.91 + -15. Put u, n, 2\/5 in decreasing order.\nAnswer: n, 2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence demo when four letters picked without replacement from mdmmoemmdom?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86320 by 43160.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 361?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 31. Suppose 3*g = -15, r = -5*a - 2*g + 3*g - 5. Let z(c) = 7*c**2 - 5*c - 5. What are the prime factors of z(a)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -1100101?\nAnswer: 1101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -75 (b) 3507050 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 116\/30)\/(2\/(-6))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(198)\/(sqrt(11) + sqrt(99))*2)\/(sqrt(6)*1*-3 + (sqrt(72)\/sqrt(2))\/sqrt(6)).\nAnswer: -sqrt(3)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3337412?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -32683, -3 in decreasing order.\nAnswer: 34, -3, -32683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 356610119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/16*2\/8. Suppose -2*f + 221 = x + 2*x, -3*x = -3*f + 369. Let n = f - 118. Which is bigger: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*0.356.\nAnswer: 0.2848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1546545 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (481 + 389*z - 481)*(z**3 + 0*z**3 + z**3).\nAnswer: 778*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + t + 4. Let v = 2 - t. Suppose 4 + v = h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12403 (base 7) in base 15?\nAnswer: e91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 6\/(-4) - -1. Let a = 12 + -20. Let n be (-18)\/a - (0 - -1). Sort -2, t, n.\nAnswer: -2, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(2\/8). Suppose j = -l*j + 12. Differentiate -5 + 2*u**3 + j*u**3 - 3*u**3 wrt u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1713 divide 159344973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q - 2*q**3 - q**2 - q + 514566 - 514566. Let j(d) = d**3 - 3*d. Determine 2*g(b) + 3*j(b).\nAnswer: -b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -23\/2*d**2 + 0 - 6*d + d**3. Let g be c(4). Solve 5 - g = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Suppose q = -2*r - f, 2*r - 2*q = 3*r + 7. Suppose -3*u + r = -8. Solve 3*j - u - 5 = -4*b, 0 = -j + 2*b - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i*w**2 + 15*i + 3356*w**2 - 78*w wrt w?\nAnswer: -2*i + 6712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (sqrt(68) - (sqrt(68) - -3*sqrt(68)*-4)) + sqrt(68))*1)\/((sqrt(36) - sqrt(432)\/(sqrt(12)*1) - sqrt(36))\/sqrt(9)).\nAnswer: -14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-3 - -10) + -5 + 4 + 31).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -471 (base 12) to base 13\nAnswer: -3bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1276.8671 + -1277. Let l = f - 1.0559. Let i = l - -1.2. What is i rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**4 - 8 + 8 + z - z + z**4 + (7*z**2 + 8*z - 8*z)*(-2*z**2 - z**2 + 9*z**2) to g*z**2 + l*z**4 + a*z**3 + q + b*z and give l.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ed (base 15) in base 2?\nAnswer: 11011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 31, 71, 133, 223, 347, 511, 721?\nAnswer: 983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 8:54 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**5\/5 + 4*b**3\/3 - 8088. Factor f(o).\nAnswer: -o**2*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.71 from -0.04015175061.\nAnswer: -0.75015175061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*c + 28407*b - 26952*c**2 with respect to c.\nAnswer: 2*b - 53904*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 8\/(-3))\/((-224)\/48)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 986*x**3 + 0 - 14813*x**3.\nAnswer: -15799*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 2248775.\nAnswer: 17990200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-2187)\/486 + 1 + 5.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8144 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5747*t + 688. Is 12 a factor of o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*r**2 + 25*r**4 + 11*r**4 - 134*r + 33*r**2 wrt r.\nAnswer: 432*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529687 is divided by 85?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 11*u + 2. Let a be p(11). Which is smaller: 11\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1292 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*(-108)\/56*-463 + (-16)\/56. Round h to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**3\/3 - 30454*o**2\/3 - 10151*o = 0.\nAnswer: -30453, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -534, -1493, -3092, -5331, -8210, -11729, -15888?\n\"Answer: -320*w**2 + w - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 213\/16898*-51*70\/(-12).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -2\/3, -0.3 in ascending order.\nAnswer: -64, -2\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 11:08 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 + 0 - 1582*h - 8.\nAnswer: -1582*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -14. Let k(z) = -z**2 - 6*z + 8. Let u be k(-6). Solve -c*y = -5*l - 10, 0*y - y = 3*l - u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 1\/2*t**4 - 1\/20*t**5 + 0 + 1\/2*t**2 - 5\/6*t**3 - 3*t. Let h be b(5). Let o(c) = 6*c**3 - 2*c**2 + 2*c - 1. Calculate o(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-60 - -16)\/2 - -22. Solve r = 46*j - 3*j + 129 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**9\/7560 - s**5\/24 - s**4\/4 - 2*s**2. Let x(a) be the second derivative of n(a). Differentiate x(u) wrt u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017829 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 5*m + 2. Let p(t) = 10*t - 7*t + 0*t + 12*t + 151. Calculate the remainder when q(4) is divided by p(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Suppose -d + k*z + 12 = 0, -6*z + z = 4*d - 113. Calculate the remainder when d is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 48*m**2 - 5*m - 7. Let n(u) = 144*u**2 - 14*u - 19. Let a(l) = 11*b(l) - 4*n(l). What is a(1)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06526 - 0.24526. Which is the nearest to -2\/9? (a) -0.4 (b) 1 (c) j (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 40. What is the remainder when 96 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/126540*74*-19\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 201404?\nAnswer: 201411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(1447\/3)\/((-6)\/24). Let t = j + -3893. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -8 (c) -5 (d) 5\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3541806 is divided by 624.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 25430*l - 305880.\nAnswer: 5*(l - 5098)*(l + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhllll?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebeebbbbee. Give prob of sequence bbbb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.5 and 35.\nAnswer: -542.5","meta":{"dup_signals":{},"source":"arithmetic__mul_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: What is the derivative of -431*o**3*p - 275*o**3 - 5*o*p**4 - 2*o*p + 5 wrt p?\nAnswer: -431*o**3 - 20*o*p**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 68105 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*h = -h - 189, -2*h = 5*w - 945. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/3139?\nAnswer: -2\/3139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eight sevenths of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*d - 932 - 3222 - 1549 = 149 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is -9c86 (base 13) in base 14?\nAnswer: -7db1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -45 (b) -5 (c) 6 (d) -4\/3 (e) -4\/351\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-3))\/(6\/10). Let z be (5\/3)\/(c\/15). Suppose 2*q = 3*q - z. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -161\/10 (b) -7 (c) -0.4 (d) -4\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/3))**2\/(c**(2\/61)*c**(4\/9)))**(-3) assuming c is positive.\nAnswer: c**(-1202\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - 7 - 13)*(-2*o + 3 - 3)*(-6 - 163 + 331) to p*o + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**6\/45 + 2*w**5\/5 - 5*w**4\/3 - 100*w**3\/9 + 125*w**2 + 64*w. Factor p(z).\nAnswer: -2*(z - 5)**3*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 171? (a) 10 (b) 3\/7 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 - 60. Let q be (-1)\/3 - u\/(-84). What is the nearest to q in 3\/16, -0.3, 3?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from tcfctcttctcccctcc.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 14*s**3 - 3*s**2 + s + 1. Let w be n(1). Suppose -w*b = -23 - 94. What is the least common multiple of b and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-7)\/294*(-4)\/(8\/2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 13*m**2 + 31*m - 22. Calculate h(-15).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1155.94 - 1155.94. Let i = -1\/66 + 15\/22. Let z = 0.04 - -1.96. Which is the third biggest value? (a) q (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.4 (b) -0.06 (c) -2.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, -29, -78, -127, -176, -225?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4.4 (b) 0 (c) 0.8 (d) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqqauxxxxxwxax. What is prob of picking 1 y and 1 q?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 6, a: 13}. Give prob of sequence ear.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1a308 (base 11) to base 2.\nAnswer: -110111010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*((-16380)\/(-75))\/91?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -11 (c) 0.21 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 6:42 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 - 4*w + 25. Let o(l) = -5*l**2 - 3*l + 25. Determine -4*o(q) + 3*u(q).\nAnswer: 8*q**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 4. Let i(a) be the first derivative of a**2\/2 + 3*a - 3. Let v = -56 - -58. Let c be -2*1\/(6\/(-9)). Calculate c*i(r) + v*b(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116757168 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3 - 134584*x**2 - 2264510330*x - 13582217388 = 0.\nAnswer: -33643, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-41)\/((a**(1\/5)\/a)\/((a**(-5)*a*a)\/a)) assuming a is positive.\nAnswer: a**(-221\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1632 and 51\/32.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -92*r + 96*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3*13\/(-7). Let q = k + -104\/63. What is the common denominator of 19\/32 and q?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29\/206? (a) 1\/4 (b) -27 (c) 5 (d) 27 (e) -4 (f) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 9 + z**2)*(-z - 3*z + 2*z - 1) + (0 + 3 - 4)*(2*z - z**3 - 2*z) + 2*z**3 + 1 - 1 + 13*z - 2*z**3 - 13*z as p*z**3 + m*z + r*z**2 + d and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 0*m**7 + 0*m - 5\/42*m**8 + 0*m**3 + 0*m**4 + 25*m**2 + 0 + 0*m**6 - 3\/20*m**5. What is the third derivative of p(u) wrt u?\nAnswer: -2400*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 9:25 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -559*d**2 - 665*d + 1115*d**2 - 555*d**2 in the form p + b*d + v*d**2 and give b.\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39 - 24*p**2 - 39 + 13*p**5 + 10*p**5 wrt p?\nAnswer: 1380*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 + 2*p - 7. Suppose -t = -4*x - 5, 0 = -t - 0*x + x - 1. Let b be s(t). Solve 0*d - 5*f - b = 3*d, -f = 5*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.5 - 17. Let q = -163\/36 - -34\/9. Sort -20, x, q in increasing order.\nAnswer: -20, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 5 (c) -36 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 5:46 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33545 + 134175\/4. Which is the third smallest value? (a) r (b) -156 (c) -2 (d) -4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 20*i**3 + 26*i**3 - i.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41434173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 546576, 546589, 546602, 546615?\nAnswer: 546628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17869*b**5 - 116187*b**2 + 2*b wrt b?\nAnswer: 1072140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 27*g**2 - 25*g - 26. Let i be p(26). Suppose -5*x + 31 = 2*a, i = -5*a + 2*a + 4*x - 11. Solve -2*c - 22 = a*u + u, 0 = -4*u + 3*c - 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181.705 weeks in days?\nAnswer: 8271.935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 12:51 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 6445648?\nAnswer: -6445647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(77) - 3*sqrt(77)) + sqrt(77))*5 + sqrt(77)))\/((sqrt(11) - ((sqrt(176) - 1*sqrt(176)) + sqrt(11))) + sqrt(11) + -5*(sqrt(11) + sqrt(99))).\nAnswer: 16*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-3)*-2)\/(354\/531). Suppose -57 = 77*a + 251. Put g, a, 9 in descending order.\nAnswer: 9, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -40 + 24 + -6 + 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 12 = 2*l, s - 4*l - 85 + 71 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11248*y**3 + 2*y**2 - 583*y + 9508512 wrt y.\nAnswer: -33744*y**2 + 4*y - 583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 2. Suppose 175 = 5*y + 2*q, 5*y = y - 5*q + 157. Suppose 0 = 5*k + 4*n - y, -3*k - 2*n = -7*n - 5. Calculate t(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3*1)\/((-24)\/(-152))*1. Let v(n) = n**2 + 12*n + 20. Let t be v(-10). Suppose t = z - a. What is the remainder when 50 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 373*q - 4835. Calculate p(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-1)\/(-12) - (-722)\/8. Let k = u + -89. Does 29 divide k + (189 - 20\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 7827714.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 - 4*h**2 + 4*h + 15. Let v(o) = o**3 - o**2 + o + 2. Let t be ((-16)\/12)\/(92\/207). Let d(c) = t*v(c) + i(c). Determine d(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29912 = 26*p - 30250 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.14 (b) 86\/9 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -12*w + 66. Let n be x(4). Suppose 10*y - 2 = n. Factor 0*d**y + 9\/4*d + 3\/2 - 3\/4*d**3.\nAnswer: -3*(d - 2)*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 2\/(-3)*13893. Suppose -2*s + 1602 = -5*z - r, -z = 1. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 148 + 6 = -58*o, -10 = 2*j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54, -106, -158, -210, -262?\n\"Answer: -52*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*r - r = -8, 0 = 2*l - 4*r + 14. Let m = -266 + 260. Let a be (3 + m)*(-1)\/l. Which is bigger: a or 5\/21?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -219\/5 + 44. Let k = -0.1034 - -4.1034. Which is the nearest to -0.055? (a) -1\/4 (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 2\/343 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x - 3*x)*(4*x + x**4 - 4*x) - x**2 + x**2 - x**5 + (-2*x**5 + 4*x**5 - 4*x**5)*(-1 - 2 + 2) + (-x + 0*x + 0*x)*(3*x**4 + x**4 - 2*x**4).\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2*w - 80, -2*n = -0*w + 5*w - 92. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 4:07 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1978 + 1976. What is the closest to -75 in 1, z, -0.3, -4\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (395 - 204 + 352)*(3 + 3 - 4)*(-5 - 11*f - 4 + 9)*(-11*f + 11*f - 8*f**2) to j*f**3 + o*f + x*f**2 + d and give j.\nAnswer: 95568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-44)\/12*1. Let c(j) be the second derivative of 20\/27*j**3 + 1\/15*j**6 + 0 + j + d*j**5 + 4\/9*j**2 + 37\/54*j**4. Find s such that c(s) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-11)\/2) - (-4066)\/22. Let d = n - 172. Let l(r) = r**3 + 9*r**2 - 3*r + 4. Let y be l(-6). What is the highest common factor of d and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(833) + sqrt(833)*-2 + -2)**2.\nAnswer: -28*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 4. Suppose 3*o - 117 = s*r, 7*o + 111 = 10*o - 2*r. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -514934 and -815 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, g: 4, c: 1}. What is prob of picking 1 c, 1 g, and 1 t?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 8, x: 1, t: 6}?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 629563?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -20*m**2 + 60*m - 25. Let g(b) = -5*b**2 + 15*b - 6. Let d(i) = -15*g(i) + 4*r(i). Suppose d(l) = 0. What is l?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 2, -4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -31, -22, 12, -17 in decreasing order.\nAnswer: 12, 6, -1, -17, -22, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70314, -140629, -210944, -281259?\nAnswer: -351574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319 divided by 12.\nAnswer: -319\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.5 (c) 3\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4050*n**3 - 9*n + 1103 - 370 - 363 - 359 + 82*n - n**2 wrt n?\nAnswer: 24300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1129410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28079, -29776, -32605, -36566, -41659, -47884?\n\"Answer: -566*d**2 + d - 27514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let c(a) be the first derivative of -a**4\/4 + a**3 + a**2\/2 - 3*a + 5. Let l be c(2). Let t(m) = -6 + l + 3 + 4*m. Give t(j(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16580*i*z**3 - 804956*i*z + 133*i - 1574*z**5 wrt z?\nAnswer: -99480*i*z - 31480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*v + 35 + 153 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 44*s - 11. Let v(f) = 22*f - 6. Give -3*k(h) + 5*v(h).\nAnswer: -22*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -552142, -552909, -553676, -554443?\n\"Answer: -767*h - 551375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -6 - -1 - (3 + (-1 - -6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5, -2*v - v = -5*l - 28. Let r(y) = 4*y**3 + 5*y**2 + 7*y - 5. Let g(m) = -m**3 - m**2 - m + 1. What is l*g(x) - r(x)?\nAnswer: x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 46, 86, 140?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146*y**6 + 3*y**2 + 19*y.\nAnswer: -17520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*x - 2 + 2 + 3*x**3 - 62*x.\nAnswer: 3*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 154220 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 8*a - 7. Let p be k(9). Suppose -p*l + 4 = 6. Which is greater: 3\/10 or l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = 0, 5*o - 37 - 40 = -3*f. What is the lowest common multiple of f and 11?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -261.000113 + 261. Round f to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 2. Determine z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6763566 by 1127261.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -5365.\nAnswer: -1\/1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/36)\/((-6)\/(-273)*119\/102).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4e95ba (base 16) to base 9.\nAnswer: 10618585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5440 = 2*s, -5*s + 0*a = -2*a - 13624. Suppose 9*c - 9915 = -s. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 13696 in ascending order.\nAnswer: -5, 2, 13696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 608*a - 3*a**2 + 1252*a + 5*a**2 - 645*a.\nAnswer: 3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 1432 = -7*x + 1456 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -773463970.345.\nAnswer: -773463970.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-7) - 2)\/(13496\/294 - 46).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -732*n**2*r + 58*n**2 - 292739*n*r - 33*n + 19761 with respect to r.\nAnswer: -732*n**2 - 292739*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (82\/(-369) - 24\/(-27))*9 + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149 - -74. Let n = -73 - d. Let v be (-2 + (-1 - -3))\/n - -2. Solve -9 + 1 = v*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**3\/6 - 7*c**2\/2 - 9*c. What is h(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.267353t in grams?\nAnswer: 2267353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34597 divided by 1193\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3 - 2 - 9*y**2 - y + 10*y**2. Give l(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*f**2 - 2380*f + 6900.\nAnswer: -5*(f + 46)*(11*f - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 7*g = -10, 3*g + 37 = -5*o + 16*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2176 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 126924251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 3 + 0*i**3 - 4*i**2 - 2*i**3 + 4. Let h(z) = -z**3 + 4*z**2 - 2*z. Let a be h(3). Let w be (-2)\/3 + (-7)\/a. What is y(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfvdcvvdbdddd. Give prob of sequence dcb.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2*y**5 - 5*d**2 + d*y**5 + 2*d*y - 25*y**2 wrt y?\nAnswer: 20*d**2*y**3 + 20*d*y**3 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4\/k**2*(k\/(k\/(k**1\/k)))**(-1\/12) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 348.109 millennia?\nAnswer: 4177308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1262, 2372, 3502, 4658, 5846?\nAnswer: 7072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.37 - 2.2. Let l = x + -69.07. Let g = l - -70. Which is the second biggest value? (a) 0.2 (b) g (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 227 - 227 - (-2 + 4 - -15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95 * -68489.\nAnswer: -6506455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*w + 227*w - 32 + 492 = 0 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62 (base 9) to base 11.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 333, 322, 295, 246, 169, 58, -93?\n\"Answer: -s**3 - 2*s**2 + 2*s + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. Suppose -12 = -p*f - 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -35, -41, -59, -95, -155, -245, -371, -539?\n\"Answer: -j**3 + j - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 243\/(-81)*((-4)\/(-6) + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -a - 0. Differentiate -4 - v + 1 - v + a*v with respect to v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0135264 rounded to 4 decimal places?\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1405609001?\nAnswer: 79, 17792519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -34*(9\/(-24))\/((-168)\/(-224))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {v: 1, y: 19}?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3732 times 15329?\nAnswer: 57207828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.471004l in millilitres?\nAnswer: 471.004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -17*w**3 + w. Let y = 5 + 5. Let m = y - 11. Let j be b(m). Calculate the greatest common factor of j and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 36. Suppose -2*t - 4*x = -162, -2*x = -q*t - 5*x + 334. Suppose g - 11 = 3*f + 4, 5*g = 5*f + t. What is the remainder when 50 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 111010220?\nAnswer: 111010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 136 = -4*n, -n + 38 = -s + 4. Calculate the remainder when n is divided by (-20)\/(-30)*27\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029794 to three dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -7\/6*t**3 - t**2 + 1\/35*t**7 + 0*t**6 + 0*t + 0*t**5 + 0 + 0*t**4. Differentiate i(v) wrt v.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 10*k + 117. Let i be u(7). Sort -5, -49, -4, i in increasing order.\nAnswer: -49, -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -11, -24802?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*i**2*x**3 + 64*i**2 - 830*i*x**3 - 52*i*x wrt x.\nAnswer: -276*i**2*x - 4980*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 a when four letters picked without replacement from {y: 2, a: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 + 27174?\nAnswer: 27212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q**4 - 3*q**2 + 0*q - 4\/3*q**5 + 1\/35*q**7 + 6 - 1\/24*q**6 + 0*q**3. Find the third derivative of p(s) wrt s.\nAnswer: 144*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 h when four letters picked without replacement from rjjjjhhjqvrh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31\/24 - -19\/24. Which is the closest to s? (a) -2 (b) 3\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 6*w + 8. Let v(s) = -2*s**2 - 2*s**2 - 16 + 19*s**2 + 11*s - 6*s**2 - 7*s**2 + 0*s**2. Let h = 7 + -1. Calculate h*v(r) + 11*b(r).\nAnswer: r**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 + -963473241?\nAnswer: -963473116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -124073.695*-4\nAnswer: 496294.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = 4. Let b = 7 - s. Let i = 0.4 - 0.1. Sort i, 2\/13, b in descending order.\nAnswer: b, i, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 3*w**2\/2 + 8*w - 57. Suppose 0 = -6*i - 3 - 3. Let j be b(i). Solve -5*m + 11 = -5*k + 4*k, -2*m + 9 = -j*k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -3. Let a = -257\/15 - -74\/5. Which is smaller: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -278\/104439 or 0?\nAnswer: -278\/104439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 109555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54983*r**3 - 5882*r**3 - 35655*r**3 + 77*r.\nAnswer: -96520*r**3 + 77*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.9133 + 0.0867. Put 0.3, b, 0, 85\/11 in descending order.\nAnswer: 85\/11, b, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126 - 11*a**4 - 14*a**2 + 126 wrt a.\nAnswer: -264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412009074.\nAnswer: 2, 3, 23, 113, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 99201668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16684 by 7858.\nAnswer: -8342\/3929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.25 - 4.3. Let i = -8.95 + r. Let b = 2 + 2. Is i not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60329552 divided by 23?\nAnswer: 2623024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -212011010 (base 3) to base 11\nAnswer: -11754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/9 - 85762*v\/9 - 85768\/3 = 0. Calculate v.\nAnswer: -3, 42884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/32 and 27\/(-45) + -2 + 13668\/6080.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 12*j**2 - 20*j + 5. Give c(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*(sqrt(405) - (sqrt(405) - -1*-1*sqrt(405))))**2 + 0.\nAnswer: -58320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j. Let o be j - (-5)\/5*2. Suppose 0 = -o*x - 2*p - p + 1588, 0 = -2*x - 5*p + 1592. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 208?\nAnswer: -11\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1088)*-5*-1 + ((sqrt(102)*-2*4 - sqrt(102))\/(sqrt(54)\/(sqrt(144) + sqrt(9))))**2.\nAnswer: 80*sqrt(17) + 34425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (129 - 52) + -20\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**3 + 9*b**2 + 8*b - 12. Let z be w(-7). Let v be (-6)\/(-21) + z\/(-56). Solve -3*p - 5*u + v = 0, 0 = -0*u + 3*u - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(140\/(-14))\/(-50)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*z - 41 = 0, -j = -5*j - 2*z + 94. Let d(k) = 6*k**2 + 45 - 19 - j. Let i(h) = h**2. Calculate d(b) - 5*i(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a (base 16) to base 6.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -386*v**3 - 12*v**2 + 13692 wrt v.\nAnswer: -1158*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424, -846, -1268, -1690, -2112?\nAnswer: -2534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-65)\/10)\/(3\/6). Let s = 65 + n. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*f**3 + 7*f**3 + 4*f**3.\nAnswer: 55*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -2 + 1)\/(3\/(-15)). Suppose -p*r = 3*z - 7*z + 17, -17 = -5*z + 2*r. Let s(v) = 7*v + 2*v**2 - 7*v - 3. Give s(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Suppose 0 = -0*o + o. Let c be (-60)\/(-4) - (o + 2). Solve -d - c = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1483788 by -318.\nAnswer: 4666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 42. Let o(n) = 6*n**2 + w*n**2 - 3*n - 9 - 3*n. What is the tens digit of o(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 33, 60, 93?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 2*g + 1. Suppose 0*k = -3*k + 24. Suppose 4*d + 4*l = -16, 0*d = -5*d - 2*l - 26. Let x = k + d. Determine m(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26704 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:11 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*d + 924 = 102*d for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 8. Let q be y(-7). Let f = q + 1. Solve -1 = -g - f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 650 = -442. What is the greatest common divisor of 56 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = n, 0 = m - 5*n - 10 + 21 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, 68, 178, 344, 572?\n\"Answer: s**3 + 19*s**2 - 4*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**6\/144 + 23*s**5\/72 + 65*s**4\/18 + 15*s**3 + 1503*s**2. Find v such that x(v) = 0.\nAnswer: -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 5. Let m be k(-3). Let z be 2\/((-12)\/13 - m). Solve 4*i + z = t + 10, 0 = 4*t + 4*i + 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**(-42))**(-5\/16) assuming b is positive.\nAnswer: b**(105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/2 - 2142*g - 2294082 = 0. Calculate g.\nAnswer: -2142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/2 and 173\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) 0.1 (b) -0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 12:02 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 111402654 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23300 (base 5) in base 10?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7650238 - 1550238. Round p to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 5. Suppose -3*f = -t*f. Solve -y = -f + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6*v = 24. Suppose 0*f = -2*f - 2. Sort v, f, -5 in decreasing order.\nAnswer: v, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 17*l**3 + 3*l**2 - 2*l - 38. Determine c(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 444.913 - -1.487. Let m = x + -388. Round m to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*a = 4*j + 10, 0 = -4*a + 2*j + 110. Calculate the least common multiple of 22 and a.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5752313\/1021110 + -2\/34037. Find the common denominator of h and -119\/50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 4*t - 16. What is b(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 + 6*z + 4. Let h be b(-8). Suppose 4*q = h - 80. Let k(s) = s**2 + 4*s - 4. What is the remainder when q is divided by k(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 17314913.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -23*y. Let m(q) = -199*q - 44. What is o(m(i))?\nAnswer: 4577*i + 1012","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -526 at most -210648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*f**3*h**2*n + 3*f**3 - 5*f**2*h**2*n + 35*f**2*h**2 with respect to n.\nAnswer: -15*f**3*h**2 - 5*f**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (20 - 8) - (-272)\/46.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2 - 10. Which is the nearest to 1? (a) o (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 + (-68)\/(-8). Let o be (-15)\/j*(-3)\/4. Which is the closest to 0? (a) o (b) -0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 0. Let g = 91 + s. Suppose 2*l + g = 120. What is the highest common divisor of l and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgg when three letters picked without replacement from {q: 2, g: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*w + 51 = 0, 2*p - w - 33 = -0*w. What is the remainder when 37 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {k: 4, l: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-4\/11)\/q)\/q**(-4\/7)*(q**(1\/4)\/q)**(-35) assuming q is positive.\nAnswer: q**(8149\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/4*63\/(126\/6)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -583*b**3 + 298*b**3 + 291*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1012 less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from noonoooooonoonooooo. Give prob of sequence onno.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or -108\/11?\nAnswer: -108\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 745, -0.6, 6 in decreasing order.\nAnswer: 745, 6, 0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -105334.\nAnswer: -10533.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 minus -0.056?\nAnswer: -100.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (213*q**3 + 68*q**3 - 651*q**3)*(0 + 0 - q).\nAnswer: 370*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/14 and -25\/119.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/100008 and 13\/8334.\nAnswer: 100008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -28, -57, -96, -145?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.08, -5, 5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12540)\/1330*(12\/24)\/((-2)\/14)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2619*s**3 - 1360*s**3 - 1308*s**3.\nAnswer: -49*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211 - -12?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-82))\/((-2508)\/418)\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199351 is divided by 423?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 422309.3mm in kilometers?\nAnswer: 0.4223093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6930265369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*q + 49*q = 26 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1216333211, -1216333212, -1216333213, -1216333214, -1216333215?\n\"Answer: -v - 1216333210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.3, -4142, 5, 2\/17 in ascending order.\nAnswer: -4142, 2\/17, 0.2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-80)\/15 + 5 + (-173)\/12. Which is smaller: y or -14?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 + -101. Is -3 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 464 - 442. What is the remainder when m is divided by (1\/5 - 1)*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -290 or -230?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 634 and 22?\nAnswer: 6974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 5. Let b be x(7). Let a be 3\/((-21)\/9 - b). Let s be (a\/(-99))\/(2\/(-6)). Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r. Let a(q) = q - 5. Suppose 5*y + 13 = 3. Let b(s) = -2. Let u(m) = y*a(m) + 5*b(m). Give u(i(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/13 + 613677712*n\/13 - 47075041775694368\/13.\nAnswer: -2*(n - 153419428)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001010001110011100 (base 2) in base 12?\nAnswer: 871a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9279029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*k + 1160 = 0, 3*w - 2*k + 599 = -569. Let u = -1551\/4 - w. What is the third smallest value in 4, 5.4, 1, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -351*p**3 - 4*p**2 + 31*p + 5. What is the tens digit of a(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2. Let c(n) = -320377995*n. Calculate c(g(a)).\nAnswer: -640755990*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -51. Suppose 0*s - s = -j. Suppose 3*k = -3*h + 132, 2*k = 10*h - 5*h - 227. What is the remainder when h is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 9:38 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14692321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5273*j**2 + 3. Let i(u) = -u**2. Determine n(i(z)).\nAnswer: 5273*z**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*i + 28*i - 300. Let j(u) = i*u + 0 + 15*u + 0. Let k(w) = w. Calculate k(j(o)).\nAnswer: 65*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*i = 534, p + 676 = -4*i + 820. Calculate the remainder when p is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6391 < -34759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -12*q**3 + q**2 - 1. Let t be (2 + 1)*3\/9. Determine n(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1883*z + 68610 = -89562 for z.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 86777 divided by 86777\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -3*y**5\/20 + 35*y**4\/2 + 223*y**3\/2 - 438*y**2 - 284*y - 1. Factor q(j).\nAnswer: -3*(j - 73)*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 67 - 7 = 0. Calculate the common denominator of l and 20\/3 + 18\/(-189).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79518?\nAnswer: 2, 3, 29, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y - 315 = c, -324 = -2*y - 2*c. Calculate the remainder when y is divided by ((-2)\/(-4))\/((-1)\/(-54)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4\/4 + 48*c**3 + 1575*c**2\/4 - 7479*c\/2 + 6318 = 0. Calculate c.\nAnswer: -52, -18, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 153.4749 and -4490.\nAnswer: -4336.5251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**2 + u**2 - 7*u**2. Let w(l) = -3*l - 3*l + l. Calculate p(w(k)).\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 - -2.9. Let y = 1.4 - 0.4. Let l = 1.2 - y. What is the nearest to l in -5, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*s + 1488 - 1488 = 0. Factor 0 + s*v**2 + 2\/9*v**3 - 8\/9*v.\nAnswer: 2*v*(v - 2)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042394380 to the power of 1\/3, to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 17. Let c(f) = f. Let l(t) = -2*c(t) + s(t). Let a(w) = 9. Let b(j) = 5*a(j) - 3*l(j). Determine b(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15170 and 442964.\nAnswer: 2214820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/17 - 5524*g\/17 + 12613590\/17.\nAnswer: -2*(g - 1485)*(g + 4247)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -17b672 (base 14) to base 16\nAnswer: -cca34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1336 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1509)\/12 + 1)\/(-1*3\/1788) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -854805?\nAnswer: 854805.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -14. Let b be -1 + (6*5\/15 - -5). Let j be 4\/b + (-4)\/6. Sort -1, 3, o, j in ascending order.\nAnswer: -1, j, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 11*z**3 - z**2 - 2*z. Let o be y(-2). Let p = -185 + 176. Find the common denominator of -34 and ((-12)\/o)\/(p\/(-312)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 4*c**2 + c - 2. Let v = 15 - 11. What are the prime factors of s(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -148003*w - 1. Let s = -3 + 2. Let b be i(s). Suppose u = -m - 0*u + 36998, 4*m - b = u. What is m rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a - 10. Let j be x(8). What is the common denominator of 9\/27*156\/j and ((-42)\/(-9) - 0)\/((-1180)\/(-1298))?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32148 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1000, -641, -110 in decreasing order.\nAnswer: -110, -641, -1000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 3*w = -9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13026*p - 49118 wrt p.\nAnswer: -13026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 5. Let x be (-2 - 3)*(-2 - -1). Let i be v(x). Let p = i - 5. Solve p = -0*z - 4*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 268533.6l to millilitres.\nAnswer: 268533600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11371 + -11071. Let o(n) = 37*n**3 + 2*n**2 - 3*n + 3. Let x be o(2). Is x smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 318 and 6254.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-12) + (-1)\/4. Let u = 7 - g. Let a = u + 3. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -615 from -11804109577.\nAnswer: -11804108962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 791*p**3 - 160. Let m(f) = 395*f**3 - 80. Let v(u) = 9*m(u) - 4*t(u). Differentiate v(a) wrt a.\nAnswer: 1173*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348701355?\nAnswer: 3, 5, 109, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(448) - ((-6*(sqrt(448) + 0))**2 - sqrt(448)) - (sqrt(448) - (sqrt(448) - (sqrt(448)*2 + -5))**2)).\nAnswer: -15650 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207.58*-34.\nAnswer: -7057.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16271 - 9645. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11925965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -102326\nAnswer: 5\/102326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12219113?\nAnswer: 1951, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10829\/2431*(-7 - 4)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**2 + 2*n - 3. Let l be s(-9). Let q = -10 + l. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10137273677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10*o - 90. Let t(v) = -11*v + 89. Let s(b) = -4*a(b) - 5*t(b). Let j(k) = k - 6. Let z(p) = -85*j(p) + 6*s(p). What is the tens digit of z(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 393, 901, 1615, 2535?\nAnswer: 3661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Let z(h) = -15*h**2 - 4*h - h**3 + 17*h**2 + 2*h + 2*h**3. List the prime factors of z(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (141\/21 - 7) + (-48)\/(-21). Solve 0*d = j + g*d + 1, -2*j - 2*d = -4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -293*o + 295*o + 2*g - 52, -2*o - 4*g + 52 = 0. Solve -o*s = -15*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4 + 4. Let p = 6 + a. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 11. Let o = -6 - a. Let w(x) = 6*x + 1. Is w(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 2*z + 10300. Let r be m(0). Round r to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 909, 1848, 2801, 3768?\nAnswer: 4749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 13*n**2 - 4*n - 32. Let y be 118\/16 + 0 + (-1374)\/3664. Give w(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -21, -2, 1\/2, 107.4 in descending order.\nAnswer: 107.4, 1\/2, -2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 13. Is i < 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -3, -4 in descending order.\nAnswer: 25, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/48 bigger than 17188.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8123 = -5*a - 8098. Let m(r) = r + 11. Let i be m(-6). What is the greatest common divisor of i and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20893 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -520 (c) 10 (d) 0.1 (e) -655\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*c = -2, 3*c - 54 = 14*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -12.283.\nAnswer: -1.2283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -4*f - 35. Suppose f = 3*o - 7*o. Put 9, -1, o in descending order.\nAnswer: 9, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 69, 80, 85, 78, 53, 4, -75?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l. Let t = -3 + 3. Let o(f) = -16 + t*f**2 - f**2 + 16. Calculate j(o(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - ((sqrt(28) - sqrt(28)*-1*1) + sqrt(28)))*2)\/(sqrt(16)\/((sqrt(16) + sqrt(4))*-1)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6*(-12)\/(-384)*-24. Which is the second smallest value? (a) 0.2 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 405 = 42*y + 76*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 - 19*o**2 + 23*o + 260. Is a(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 - 27 - (-14 + 36)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*g**3 + 5 + 20*g**3 - g**2 - 2*g**4 + 4*g**4 to h*g + o + d*g**3 + r*g**2 + t*g**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/7, -169, -0.2, -8.\nAnswer: -169, -8, -5, -0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**4\/24 + 3*y**2 + 9*y. Let u(l) = 3*l**2. Calculate u(o(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rngrnreerrr. What is prob of picking 2 n?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8909908 tonnes to grams.\nAnswer: 890990.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4763485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3664*b. Let o(r) = 15*r. Give o(k(u)).\nAnswer: 54960*u","meta":{"dup_signals":{},"source":"polynomials__compose_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: Let z(y) = -y + 4. Let g be z(3). Suppose 15 = 4*o + 5*s, -o + s = 4 - 10. Solve -o + g = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.8 and 970.6152.\nAnswer: 971.4152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12352102\/166695 - 1\/66678. Let t = 460141\/6210 - p. Let v = t - 1076\/51543. Is 0 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-27)*-3 + (1 - 1)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2. Let i(g) be the first derivative of -g**6\/90 + g**3\/3 + 4. Let s(l) be the third derivative of i(l). Give q(s(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 0*l**3 - 1\/120*l**6 + 0 - 1\/12*l**4 - 7\/10*l**5 + 0*l - 53*l**2. What is the third derivative of d(a) wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24*-10*7\/(-210)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*u + 5977 = 16354 - 3330 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 924 - -35. Suppose 0 = -9*l + f + 319. What is the remainder when l is divided by 42?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7115442 by 2.\nAnswer: -3557721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:02 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/11 - 4*z**2\/11 - 6*z\/11 = 0. What is z?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - y + 5. Let r be i(0). Let p = r - 1. Suppose -5*l + p = -l. Is 1 not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffcrrff. What is prob of sequence rr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 7*l**2 - 11*l + 12. Let z(q) = -q**2 - q + 14. Let b be z(4). What are the prime factors of v(b)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 389508 divided by -724.\nAnswer: -97377\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u + 9 = 18*u. Suppose -2*l = -4*c - 776, -u*c + 577 + 1376 = 5*l. Let s be (-4)\/(-26) + 10730\/l. Is 27 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1\/28, -8 in increasing order.\nAnswer: -8, -7, 1\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3718732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 1 (c) -4 (d) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.7 - -42. Let l be -3 + (-75)\/(-21) + -1. What is the fourth smallest value in 0, l, -1\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3970 + 4037. Calculate the remainder when 6294 is divided by p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21054, 21073, 21092?\nAnswer: 21111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -9 (c) 2 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1*84\/36*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 757, 2902, 6433, 11344, 17629?\n\"Answer: -a**3 + 699*a**2 + 55*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c3 + 37?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - 7*m - m)*(27 - 2 - 4)*(-4*m**2 + 4*m**2 - m**2) in the form k*m + w*m**3 + z + p*m**2 and give w.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178424*v**3*y**3 + 5*v**3*y**2 - 110*v**3 - 36*v*y**2 - 2*y**5 - 2*y**3 wrt y?\nAnswer: -1070544*v**3 - 120*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**2. Let i(n) be the second derivative of 0*n**2 - 2*n + 0*n**3 + 0 + 1\/12*n**4. Determine i(r(a)).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -176026\nAnswer: -3\/176026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 207 in ascending order.\nAnswer: 3, 4, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 7. Let j(z) = 2*z + 3. Let d(r) = 3*f(r) - 7*j(r). Let t(c) = c + 3. Let p(g) = -3*g - 8. Let m(w) = -3*p(w) - 8*t(w). What is m(d(u))?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5078*a - 2826*a + 112307 = -500271 - 27646 for a.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53553083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129697679 is divided by 210.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.03, 3, 0.13, 0.2 in increasing order.\nAnswer: 0.03, 0.13, 0.2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -0.11, 8086 in decreasing order.\nAnswer: 8086, 3\/5, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 432814*u**6 - 12*u**3 - 11206360*u**2?\nAnswer: 51937680*u**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2, 14\/45, 76.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 2*c**2 + c - 16. Let y be a(0). What are the prime factors of ((-370)\/(-8))\/(((-3)\/y)\/3)?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -240*b**2 - 241*b**4 + 1293*b + 486*b**4 - 248*b**4 wrt b.\nAnswer: -36*b**2 - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 338.363 - 338. Round c to two dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -25\/364?\nAnswer: -25\/364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 + -90. Which is smaller: -1\/6 or s?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/6 - 11\/12. Let o(z) = -5*z**2 - 773*z - 448. Let p be o(-154). What is the closest to p in 0, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*d + 358 wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11338.33 and -188.7022.\nAnswer: -11527.0322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5))**44*((l\/l**(-26))\/l)\/l*l**(3\/4) assuming l is positive.\nAnswer: l**(-13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 9:00 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 3*z + 3*z)*(2 - 4 + 1)*(-13 - 12 + 5).\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-8))\/((-1446)\/3856)*(-2)\/(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.34786 rounded to 1 dp?\nAnswer: -24.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 24, -3\/4, -2\/15, 84, 5, 5\/6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*g - 20 = 0, -2*p + 20 = 4*g - 9*g. Suppose -3*h + 544267 + 173783 = p. Is (h\/(-30) - 2\/(-6))\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4116 = -6*o + 11514. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f. Let b(t) be the third derivative of -t**4\/12 - 224*t**3\/3 - 17*t**2 - 10. Calculate x(b(c)).\nAnswer: -2*c - 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 873.1 and 5.\nAnswer: 4365.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 317 + 317.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/4, 0.2, -1018, -1\/3, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -24.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from beeeererbbebte. Give prob of picking 2 b.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 11) to base 2\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13 - 12*v**6 - 5*v - 3*v**5 - 2*v**2 + 5*v + 3*v**6 wrt v?\nAnswer: -1080*v**3 - 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*j**2 + 2*d**3*j - 2*d*j**2 - 5308*d*j - 32329*j**2 - 2*j wrt j?\nAnswer: -4*d**3 - 4*d - 64658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/16, 3\/5, -2\/3, -20?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23275 + -23006. Calculate the remainder when 370 is divided by s.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 17*x - 26. Let o be z(4). Let j = o - -9. Calculate the greatest common factor of 17 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/24 + d**5\/2 - 5*d**4\/8 - 25*d**3\/3 - 92*d**2. Factor c(t).\nAnswer: -5*(t - 5)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -14, 722, 2, 11, -5, 0 in decreasing order.\nAnswer: 722, 11, 8, 2, 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 - (-2 + -4)) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 902042006 plus 0.4963?\nAnswer: 902042006.4963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9144*d**4 - 313*d**2 - 5794899*d wrt d.\nAnswer: -109728*d**2 - 626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 650028 divided by -162507?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o - 133. Let j(q) = -7*q - 133. Give -7*j(v) + 8*w(v).\nAnswer: v - 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-75)*(-170)\/(-272).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 35. Let g be c(5). Suppose 16*o - g*o = 3. Solve -3*v = -0*v + o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8957371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2750864111 is divided by 8711.\nAnswer: 8710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 239744772 to the power of 1\/2, to the nearest integer?\nAnswer: 15484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76933*t**3 + 153872*t**3 - 76938*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*g + 31, 3*g + 3 = w + 4*g. Let i be (w - 8\/(-2)) + -3. Sort i, 5, -8 in decreasing order.\nAnswer: i, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124 - 124. Let x(h) be the third derivative of k*h + 0*h**3 + 4*h**2 + 0 - 3\/70*h**7 + 1\/60*h**6 + 0*h**5 + 1\/48*h**8 + 0*h**4. Factor x(c).\nAnswer: c**3*(c - 1)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96011a (base 13) in base 2?\nAnswer: 1101011001101101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -841.00005109 + 841. What is z rounded to six dps?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.14 (b) 0 (c) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5238?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1650940 is divided by 82545.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 9:13 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*x**3 - 78*x**3 + 269*x**3 - 99*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2529802067 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: Let w(p) = -62*p + 558. Let t be w(9). Solve 2*m + z + 1 = t, -3*m = -3*z - 2 - 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-2 - -2)) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 2:08 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from cooojhjjijiojzh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/4))**(-5\/12))**33)**(-2\/23) assuming s is positive.\nAnswer: s**(-55\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*m**2 - 822*m + 822*m.\nAnswer: -127*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.0371 times -102\nAnswer: 3.7842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 8856\nAnswer: -5\/8856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 + -0.01. Let g = -0.06 + j. Which is the nearest to g? (a) 4 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -7. Let j = -2 - i. Let f = -0.2 + 0.4. Put f, j, -0.3 in descending order.\nAnswer: f, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14877912 divided by -177118\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -19 - (12 - -16 - 21)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4\/5 - 12*q**3\/5 + 3*q**2\/5 + 48*q\/5 + 36\/5 = 0. Calculate q.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u - 35. Suppose 0 = -5*y + 5*a + u, 3*y + 5*a + 6 = -13. Solve 2*m = 4*l + y, 0 = 2*l + 4*m - 15 - 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -77, 10 in ascending order.\nAnswer: -77, -9, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 476 divided by -2\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 417494083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2106)*-2 + (2*sqrt(286) + sqrt(286))\/sqrt(11) + sqrt(26)))\/(sqrt(4)\/sqrt(2)*-5 + sqrt(242)*4).\nAnswer: 70*sqrt(13)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oivorovwooiriorwvv. What is prob of sequence ooow?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -960.1 + 371.9. Let o = d - -588. Let b = -269\/10 + 27. What is the biggest value in b, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -12 - ((-768)\/67)\/(-8)*(-23)\/(-3)?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0108712, 1.03, -0.1, 3\/4 in descending order.\nAnswer: 1.03, 3\/4, 0.0108712, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12945 + 12944. Let m(y) = -4*y**2 + 8*y - 1. Let i(l) = l**2 - l. Give f*m(c) - 5*i(c).\nAnswer: -c**2 - 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/32123, 9, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106316*v**2 - 72 - 13 + 2*v - 106315*v**2)*(-3*v**2 + 3*v**2 + v**2).\nAnswer: v**4 + 2*v**3 - 85*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/54605 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + 0. Differentiate -2 - x*k + 12*k - 1 - k**3 with respect to k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6780 + 6779. Let d(f) = f**3 - 3*f**2 + f + 3. Let g be d(2). Sort g, -9, r, -5 in decreasing order.\nAnswer: g, r, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0, -5, -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.28 - -0.28. Let g = 0.2 + r. Which is the closest to 1? (a) -3 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 4) + (27 - 19). Solve 5*x + i = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*k = 12, -3*m + 5*k + 0 = -4. Let a be ((-7)\/(-2) - 3)*-8. What is the nearest to -1 in -0.3, m, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/64 and 37\/8?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y. Let u(l) be the third derivative of -1\/2*l**4 + 0 - 10*l**2 + 0*l + 0*l**3. Determine u(q(i)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/20)\/((2\/30)\/((-949)\/(-8541)))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -5357?\nAnswer: -5357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.70071 nanograms to kilograms.\nAnswer: 0.00000000004370071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6337 (base 10) in base 5?\nAnswer: -200322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300 (base 11) to base 8.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 12*c**2 - 47*c - 264. Let x be g(-10). Solve 0 = 135*v - 134*v - x for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/76, 4, 2 in descending order.\nAnswer: 4, 2, -1\/76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + d - 8 = 0, -5*d = -13*l + 12*l - 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -198, 5, -4, 23 in increasing order.\nAnswer: -198, -4, 5, 18, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/6 - 132*m**3 - 28179*m**2 + 734472*m + 1084906953\/2 = 0. What is m?\nAnswer: -303, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5565 + 8211. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h. Let x = 226 - 224. Let b(l) = 2*l + 0*l - 540*l**2 + 534*l**x. What is b(o(y))?\nAnswer: -96*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 5, g: 7, j: 2}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + ((-18)\/(-45))\/(1\/(-5)). Calculate the lowest common multiple of (3 - 2) + (a - (0 + -1)) and 16 + -21 + (1 - 3) + 12.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6 + 10 = 0. Let i(p) be the third derivative of 0*p + 0 + 4*p**2 + 1\/24*p**6 + 0*p**5 + 0*p**k - 1\/6*p**3. Differentiate i(b) with respect to b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.007306?\nAnswer: -0.021918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 47669*m - 47890. What is t(1)?\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {f: 2, n: 2, e: 1, y: 2, b: 3, c: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741100 is divided by 1812?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 167c?\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -23. Let b = q + -10. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 7\/2. Let b = -2 - -4. Factor -3\/2*p**3 + 0*p - x*p**4 + 0 - p**b.\nAnswer: -p**2*(p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*r + 182*r + 1035 + 171 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 6*z - 82. What is b(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, q: 10}. What is prob of picking 1 q and 2 v?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 3545900\nAnswer: 13\/3545900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -57.5 and -0.4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -888 times 5?\nAnswer: -4440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -2*i**3\/15 - 124*i**2\/5 - 726*i\/5 + 18. Factor y(t).\nAnswer: -2*(t + 3)*(t + 121)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 15 = 5*i, 1423*s - 1418*s = 4*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 8:04 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11290 + -361193\/32. Let h = -555 + 537. What is the common denominator of m and -4 - (h\/36)\/((-44)\/(-482))?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7856 times -15?\nAnswer: -117840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 + 58030.\nAnswer: 58044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 59*-0.12\nAnswer: -7.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0 + 6*k**2 + 1\/24*k**4 + 0*k + 1\/6*k**3. Let z be p(11). What is the greatest common factor of z and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-117)\/6)\/39*4*(-117628)\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 81958?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10361 + 5182 + 5180 + 14*c. Suppose -3*p + 18 = -3*d, 3*p + 3 = p - d. What is z(p)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 68 + 19789 - (6 - (-1 + -1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*j + 39*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)*-1 - 1*(sqrt(240) - sqrt(15)))\/(sqrt(40)\/(sqrt(16)\/sqrt(2)*1 + sqrt(8))).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2849*-1\nAnswer: 2849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 10, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10768000 to the nearest one hundred thousand.\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y + 183 = -45. What is the remainder when (524\/y)\/((-2)\/(-12)) is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 50792 to the power of 1\/2, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g = 44*g - 126. Is ((g - 1) + -1)*2221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 9015 = -88*d + 5935 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o - 2*o)*(-6 + 6 + 4*o) + (3*o + 4*o - 4*o)*(3*o + o - 2*o) + (-3 + 3 - 1)*(9*o**2 - 4*o**2 - 4*o**2).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -0.4, -1\/4, -108.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-6) + -1 + 289*1. Let y = k + -92. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fooo when four letters picked without replacement from ofoooooo?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 78253361429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-880)\/(-550) + (-2)\/(10\/(-7)). Let b be 4\/(-10)*3*-5. Suppose -d + b = d. Solve d*w + 0 + 15 = -3*q, m*w - 2*q = -5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6 - 2 - 6 + 20 - 9*c. Let d(l) = -12*l + 13 - 6*l - l. Give -4*d(p) + 9*t(p).\nAnswer: -5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**5 + d**2 + 2*d - 1. Let g(l) = -40*l**5 + 6*l**2 + 10*l - 6. Let r(j) = g(j) - 5*v(j). What is the third derivative of r(a) wrt a?\nAnswer: -2700*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 11*t - 11. Let w be n(-9). Suppose 0*s - 2*s = -8. Let a = w - s. What is the highest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*sqrt(77)*1*-1)\/(-3*(sqrt(891) + sqrt(891)*-2) - sqrt(891) - sqrt(891)))**2.\nAnswer: -56\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 + -0.25. What is the second smallest value in 9, 3\/4, v?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18714 or -18717?\nAnswer: -18714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(0 + sqrt(112) - (sqrt(28) + -3))**2*-2)*2.\nAnswer: -884 - 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -447392 (base 10) in base 14?\nAnswer: -b9088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 13 - 7 = 0. Let y = -71 - -89. Let r = 15 - y. What is the smallest value in k, r, 8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9\/7 - -43\/28. Let z = -2 + 15\/7. Let s = 2 + -1. Which is the smallest value? (a) s (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 - -105. Suppose 2*l - 9 = -3*d, 4*l + 5*d + 2 = 19. What is the second derivative of 2*n - 2*n + 18*n**l + n - j*n wrt n?\nAnswer: 108*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.76177 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -28.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7285 by -31.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.688 - -1\nAnswer: -0.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2339*a - 2335*a + 442 = 5*r, 2*a = 2*r - 178 for r.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 491992*d + 513381 wrt d.\nAnswer: 491992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -4.5. Let k = -0.56 - w. Let z = 1.94 - k. Which is smaller: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 14*g - 51. Let j be o(4). Solve j*u = 2*i - 0*u + 14, 0 = -4*i - 4*u + 28 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 5*m - 69 + 39, -2*f - 5*m = -6 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4783 - -24724. What are the prime factors of u?\nAnswer: 19, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1037*c - 8*c - 13431 = -3448*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/12)\/((-2)\/(-6)). Let l(y) = -y - 6 + a*y - 6*y + 2. Determine l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -3 + 1 + 13. Suppose -a - 10 = a - 5*x, 2*a - y = -5*x. Solve c - p - 7 = a, 23 = -0*c + c - 5*p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/837 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*t + 5*d, 2*t - 5*d = -0*t + 5. What is l in -2\/3*l**2 - 2\/3*l**5 + t*l + 2\/3*l**3 + 2\/3*l**4 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/7 + 32308872*t\/7.\nAnswer: -4*t*(t - 8077218)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 (base 15) in base 2?\nAnswer: -1000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/2 + 4)*(0 + 0). Suppose -3*b - 5*l - 125 + 23 = c, 0 = 4*l + 12. Is b <= -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*n + 20. Let g = 13 - 9. Suppose -5*y = 4*k - 54, 10 - 57 = -5*k + g*y. Calculate the least common multiple of n and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7086206209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*s + 310*j - 65*s wrt s.\nAnswer: 3*j - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.850721 micrograms in kilograms?\nAnswer: 0.000000005850721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 9*m**2 + 8*m + 5. Calculate f(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1 - (-186)\/171)*45726\/38105.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.536759053 + 0.2.\nAnswer: 0.736759053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2100 + -2096. Solve -33 = a*p - 29 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5036, -5054, -5072, -5090?\nAnswer: -5108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12561724 is divided by 327?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -42052202 (base 7) to base 15\nAnswer: -49e85b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3. Let z(p) = p**2 + 4*p - 7. Let k be z(4). Let s = k - 11. Let n(j) = j**3. Give s*n(t) + 4*x(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2324574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 48\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -48730 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 3*v**2 + 11*v + 14. Let h(i) = i**3 + 18*i**2 - 19*i - 5. Let w be h(-19). Let r be y(w). Solve -4*g + 24 = -4*b, 3*g - 5*g - 5*b = r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.722 - 0.522. What is the fourth biggest value in 15, -4, c, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 + -1220012?\nAnswer: -1212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/3180 and -54\/25.\nAnswer: 15900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56051?\nAnswer: 23, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 414 and 6?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/67408573 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -239 + 257 + 430 - 257*m with respect to m.\nAnswer: -257","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*n - 7, -3*p - 4*n - 1 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1694510814.\nAnswer: 2, 3, 337, 838037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1498743 divided by -3\nAnswer: -499581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by (-608)\/(-24) - (-2)\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5 - 126*m**3 + 44*m**2 + 1680*m = 0.\nAnswer: -7, -4, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 9*z = -52. Suppose 10*v + 12 = z*v. Suppose 5*c = 5*q + 11 + 14, 3*c - 15 = 4*q. Solve -s + c*w = -4, -w = -3*s - v*w + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 0 (b) -215 (c) 3\/5 (d) -3 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1507, 3012, 4529, 6064, 7623, 9212, 10837?\n\"Answer: h**3 + 1498*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6591355*a - 14821130 wrt a.\nAnswer: 6591355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -201*b**3 - b**2 + b + 84*b**3 + 1 - 290*b**3. Let v be i(-1). Suppose 5*l + 5*j - 675 = 0, -5*j + v = 3*l - 3*j. Is 34 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*o**2 - 64*o - 1826*o + 850610 + 42415 + 397*o**2 = 0.\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18644831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -184933*s**2 - 184902*s**2 + 370002*s**2 - 5*s**2 + 6*s**2 + s**2 + (-3 - s + 3)*(-5*s + s + 5*s).\nAnswer: 168*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 3*a**2 + a**2 + 3*a - 2*a**3 to the form j + s*a**3 + z*a + n*a**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2766639.7370109 + 2766640. Let h = 419 + -418.737. Let c = w - h. What is c rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2, -1\/6, -7, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.9 + 26. Let z = 1.1 - i. Let v = z - 0.18. Round v to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104 + 46. Let i = -73 - t. Let q(z) = 2*z - 5. Let f be q(-4). Which is greater: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + -1*sqrt(605) + 2)**2 + -1 + (1*sqrt(1125)*-3)**2.\nAnswer: 10128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0312 * 0.1\nAnswer: -0.00312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002054124 rounded to seven dps?\nAnswer: 0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 - 21*c**2 + 8*c - 10. Let l be x(6). Let k be (6\/(-42))\/((-10)\/l). Is 2\/101 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -10 - 4*d + d - d + 5*d. Let v be y(9). Is (-2 - v) + 1690\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 times 4349224?\nAnswer: 213111976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(500) + (sqrt(500) + -1 - sqrt(500))*3 - sqrt(500)) - (sqrt(500) - (-3 + 1*sqrt(500)))*-2) + -1)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -94 - 23. What is the third derivative of -301*q**2 + 300*q**2 - 9*q - 16*q - y*q**5 wrt q?\nAnswer: -2340*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**4\/10 + 28*t**3\/15 + 43*t**2\/5 + 12*t - 1372. Factor s(q).\nAnswer: 2*(q + 1)*(q + 3)*(q + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 1, x: 2, b: 2, s: 1, n: 1}. Give prob of picking 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/7237417 and 107\/3947682.\nAnswer: 43424502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/7 + -16\/35. Let k = 3 + -5. Let q = 3.4 - 3.7. Which is the closest to n? (a) -4 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(198\/(-513))*-2*5\/(-15)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -8, -0.5, -9 in increasing order.\nAnswer: -9, -8, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 70155748 to the power of 1\/2, to the nearest integer?\nAnswer: 8376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -723 divided by 5.\nAnswer: -723\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2340014 (base 5) in base 12?\nAnswer: -20b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.7 plus -10?\nAnswer: 28.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, 51, 88, 141, 216, 319, 456?\n\"Answer: p**3 - p**2 + 23*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2 + 9*v. Let q(w) = w**2 - 2*w. Let k = -46 + 55. Give k*q(a) + 2*r(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 26*q**2 - 6*q + 6. Let v(i) = 27*i**2 - 7*i + 7. Suppose -5*y + 19 = -4*o, 61*o + 3*y = 56*o - 33. Calculate o*v(w) + 7*s(w).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2059 + 2047.21. Let t = z + -0.21. Let c = 14 + t. Which is smaller: 0.05 or c?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -p - 0*g - 14, -3*g = 4*p + 77. Let u = -14 - p. Factor -75*a**2 + u*a**5 - 20 + 8 - 14*a**4 + 57*a**3 + 29*a - 7*a**4 + 19*a.\nAnswer: 3*(a - 2)**2*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 + 1210?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119 and 85.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.831945 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61583 or 61584?\nAnswer: 61584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -5*u**6\/6 + u**5 + 5*u**4\/2 - 10*u**3\/3 - 5*u**2\/2 + 5*u - 27. Factor o(v).\nAnswer: -5*(v - 1)**3*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.69 - -0.2.\nAnswer: 1.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44551*x**2 - 44551*x**2 + 858*x**4 + (-4*x - x**2 + 4*x)*(3*x**2 + x**2 - 3*x**2) to the form s*x**2 + a + g*x**3 + q*x**4 + m*x and give q.\nAnswer: 857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 19 = -3. Solve -m*c - 10 = -26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1760 + 1540. Suppose -2*l + u = 1 + 6, 0 = -3*l - 4*u - 5. Let p be (y\/7)\/(l\/(-21)). Round p to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/8382 and 97\/1524?\nAnswer: 16764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i - 3. Suppose -3*g + 4 = 2*c, -7*c + 11*c - 2*g - 8 = 0. Let u(h) = 3*h - i*h - c*h + h. Give u(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/4 - 1\/2. Suppose -5*s + v*b + 1300 = 0, s + 3*b - 261 = 5*b. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22651 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 12\/13.\nAnswer: -4, -1, 12\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p**2 - 6*p + 6. Let i(c) = -10*c**2 - c + 8*c**2 + c**2 + 1 + 2*c**2. Let k(g) = -6*i(g) + z(g). Let y(x) = -16*x**2. Determine y(k(v)).\nAnswer: -64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -470.11 - -473. Let w = 509.84 - 509. Let g = l - w. Round g to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/40 - -661\/280. Let c = 0.033 + 16.967. Let y = c + -19. Which is smaller: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14162954 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1186417 + -1201236.37. Let l = g + 15211. Let m = -389 + l. Round m to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**3 + y - 3. Is l(2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + s = 8, 22*a - 2*s = 26*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 6176*s - 2383936.\nAnswer: -4*(s + 772)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/sqrt(48) - sqrt(24))\/(sqrt(8) - (sqrt(8) + 2*sqrt(200) + sqrt(200))).\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 49, 169, 347, 583?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 - 10*v**3 - 16*v**2 - 8*v.\nAnswer: -2*v*(v + 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + (2\/2 - -32)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 + 161*a**2 - 80*a - 103. Determine u(80).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzzebky. Give prob of sequence ezb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 978075 + 978466 - 1956541 - 30*t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-10)\/3)\/(-5*(-96)\/360).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 5*n + 7. Let m(k) be the second derivative of k**5\/20 + 2*k**3\/3 - 3*k**2 + 2*k. Let s be (1 - (-9)\/6)*2. What is s*m(w) + 4*r(w)?\nAnswer: w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34273?\nAnswer: 34273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 16*v**5 - 452*v**4 + 3232*v**3 - 332*v**2 - 3248*v + 784 = 0.\nAnswer: -1, 1\/4, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, -23, -50, -87, -134, -191?\n\"Answer: -5*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*j + 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 9746370 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.3853 years to centuries.\nAnswer: 0.313853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13718221 to the nearest integer?\nAnswer: 3704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3\/3 - 20*t**2\/3 + 5*t\/3 + 20\/3.\nAnswer: -5*(t - 1)*(t + 1)*(t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 116, 112, 110, 110, 112, 116?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/36)\/((45\/(-2))\/(-9))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3077 by -3077.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -2\/35 in decreasing order.\nAnswer: 3, -2\/35, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 159311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63.8 + -22. Let t = w + -42. Sort -0.5, t, -0.4, 10\/3.\nAnswer: -0.5, -0.4, t, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 4 (b) -1\/2 (c) -3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16490 + 1737. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.98 - 0.02. Let n be (-27)\/(-9) - (-1 + (-21)\/(-5)). What is the smallest value in p, 5, 7, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21467.000017143 + 21467. What is n rounded to seven decimal places?\nAnswer: -0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 7. Let s be 29\/((-1)\/(-5)*x). Let k be -3 - -3 - s*60. Round k to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**2*m**3*x + 29*j**2*m**2*x**2 + 6*j**2*m*x + 44893*m**3*x**2 - m**3*x - 2*m**2*x + m*x - 6 wrt x.\nAnswer: 58*j**2*m**2 + 89786*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2644*d + 12714*d + 12101*d + 1962796 = 189116 for d.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1475 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 246, 896, 1972, 3468, 5378, 7696, 10416, 13532?\n\"Answer: -v**3 + 219*v**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2. Let j = -15 + 17. Let v be (-3 + 3)*(-1)\/3. Let i(b) = -j*b + 2*b + v*b + b. What is i(g(f))?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 79, -188 in descending order.\nAnswer: 79, -4, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -107*r**3\/6 - 31*r**2 + 57*r. Differentiate d(m) wrt m.\nAnswer: -107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.447 to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1 - 2 + 8 - t + 0*t. Let o(f) = 35*f - 125. Let x(w) = -100*n(w) - 4*o(w). Let r(a) = 10*a. Give r(x(b)).\nAnswer: -400*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 4*d + 2. Let p be a(-5). Let x = 7 + p. Solve -16 = -3*q + q + 2*n, -x*n - 23 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17354668.\nAnswer: 2, 31, 173, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 bigger than 320\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18641*b = -18601*b + 2160 for b.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 140\/45551 or 0?\nAnswer: 140\/45551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1685, -3431, -5237, -7109, -9053?\nAnswer: -11075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*((sqrt(88) - -1*sqrt(88)) + sqrt(88)) - sqrt(88))*2)\/((sqrt(968) + sqrt(968) + sqrt(968) + -1*(3*sqrt(968) - sqrt(968)))*6).\nAnswer: 2*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.9 - 40.6. Which is the nearest to 5? (a) n (b) -0.4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(9\/(0 + 9) - 107600) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*p + 232*p - 30*p)*(15 + 4 + 2).\nAnswer: 3675*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*k = -h + 83, -266 = -3*h + 2*k. Let s = -4 + 7. Let n be (6 - s\/(-3)) + 1. What is the highest common divisor of h and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10968525, -21937050, -32905575?\nAnswer: -43874100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*m + 29, v - 5 = -m + 2*v. Suppose n + 5 + 1 = 0. Let s be (-1)\/(m\/n)*24. Calculate the greatest common divisor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 652941 + 180731 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 0)\/((-1310)\/(-325) + -4). Let b = 60 - r. Which is bigger: b or -9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1690342880.0000173 + -1690342659. Let w = -119 - -340. Let n = p - w. Round n to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 331 and 118.\nAnswer: 39058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 12*u**2 - 12*u - 1. Let y be p(-11). Calculate the highest common factor of y and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30516624 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24558448 and 8576?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51758 or -51759?\nAnswer: -51758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -122111?\nAnswer: 122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 16*u + 6*u - 2*u**2 + 1506 + 14*u - 1576 + 4*u. Calculate the remainder when 239 is divided by r(15).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7.3 (b) -3 (c) -0.5 (d) 0.2 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 1614\/(-532) + 4. Let y = l + 6183\/5852. Let h = -14\/11 + y. Sort h, -4, -5 in increasing order.\nAnswer: -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2230 - -41342?\nAnswer: 44122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h - 9926 - 200044 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2845 by -3.\nAnswer: -2845\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4759934?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c - 15 = -24*c - 5*t, -c - 2 = -4*t. Let r = -3 - -3.2. What is the closest to r in c, -1\/2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9842 or -1.25?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 86640728 and 1312.71.\nAnswer: 86642040.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*(sqrt(832) + -6*(sqrt(832) + 1 - sqrt(832)) + (sqrt(832) - (sqrt(832) + 1)) + -3))**2 + 1 + 5 + 2.\nAnswer: -1632*sqrt(13) + 8652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) -8 (c) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. Calculate the common denominator of c\/(-4) + 374\/(-56) and 79\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6568 - 6566. Let j(l) be the second derivative of 5\/6*l**3 + 32*l + 0*l**4 + 9\/10*l**5 + 0 + 0*l**w. Find the second derivative of j(g) wrt g.\nAnswer: 108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/5))**(-15\/7)\/(y**(12\/7)\/((y**(13\/4)*y)\/y)))**(-5\/7) assuming y is positive.\nAnswer: y**(-155\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -59*s + 10*s**2 + 0*s**2 + 10*s**2 + 11*s**2 - 1. Let v be m(2). Solve 2*n - 5*y = 3, -2*y - y + 2 = -v*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2130*u - 7950. Does 20 divide r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-35)\/2))\/((-183)\/(-2180262)*37)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 113*u**2 - 6695*u + 106. Determine x(-43).\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289416 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: Suppose 0 = -4*o - 2*z + 54, -21 = -o - 4*z + z. Suppose 9*u - o*u = -234. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -11, 2\/91, 6, -5 in descending order.\nAnswer: 6, 2\/91, -5, -11, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Suppose -5*w = -4*u - 0*u - 23, -3*u = 3*w - 3. Let l = -4 - u. Sort l, 4, y in ascending order.\nAnswer: l, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c. Let k(w) = -1638*w**2 + 2. Give k(j(s)).\nAnswer: -26208*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 0, -2*v + 2*h - 5*h - 6 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**5\/15 + 15*k**4\/8 + 8*k**3\/3 - 60*k**2. What is the tens digit of j(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 20 = -v. Sort 3, v, -2\/15 in decreasing order.\nAnswer: v, 3, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -496687880 to the nearest 100000.\nAnswer: -496700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*j**2 + 6154*j**2 + 10535*j**2 to the form f + b*j + h*j**2 and give h.\nAnswer: 16578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16 - 15)\/(4\/260). Let l = -47 + 112. What is the derivative of -a*k + l*k + 4 - 16*k**2 wrt k?\nAnswer: -32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 29*p**2 + 5*p + 16. Let f = 470 - 476. What is the hundreds digit of s(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 1. Let a(z) = -14*z - 3. Let h be a(v). Let n be (45\/h)\/(2\/10). Solve -4*f = -n*f - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 945 + -345. Does 25 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**7\/315 - t**5\/90 - 2*t**2. Find i such that n(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350 a factor of 28745550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 201 - 203.3. Let i = o - -12.8. Round i to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4228896 and 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-1 - -6 - -4) + (-17 - 3)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l + 5. Let b(v) = -32*v + 6. Let k(c) = b(c) - s(c). Calculate k(1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*p - 26, -p + 5*f = -26 - 3. Factor 40*n**3 + 5*n**4 + 0*n**p + 6 - 6.\nAnswer: 5*n**3*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + y + 4. Let v be g(3). Which is bigger: v or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + 6*q - 1. Let l(f) = -f**2 - 5*f. Let p be l(-4). Let t(c) = -2*c**2 - 5*c + 1. Let s be ((-252)\/8)\/(-9) + (-2)\/4. Determine p*t(x) + s*d(x).\nAnswer: -2*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 3, c: 1, e: 9, g: 2, x: 1}. Give prob of sequence ea.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 1\/2*w**2 + 0 - w + 1\/12*w**4 + 1\/3*w**3. Let o be k(-2). Is 1\/3 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -4, -13, -1 in descending order.\nAnswer: 6, 1, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 43.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 183920781*n + 399324598?\nAnswer: 183920781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 41 = 461. Let g = 478 + -457. What is the greatest common divisor of j and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2312693 + -1349476. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(136) - (sqrt(136) - -1*sqrt(136))*-3))\/(sqrt(72) + (sqrt(72) - 5*-2*sqrt(72))).\nAnswer: 35*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/6 + 6643492*j\/3.\nAnswer: -j*(j - 13286984)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 454.88 + -513.927. Let t = 59 + g. Round t to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + z - 4 + (2*z + 3*z - 3*z)*(-4 + 0 + 2))*(-12*z + 35*z - 26*z) as t*z**2 + a + w*z and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 72*i**2 + 104*i - 1206. List the prime factors of w(16).\nAnswer: 2, 5, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33295?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 4:48 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29291 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -17. Let a(b) = -3*b**3 - h*b**2 + 5 + b + 3*b - 2*b + b. List the prime factors of a(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3601*d**2 - 3602*d**2 + 6*d**3 - 16651*d**2 + 23854*d**2.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061139000 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 39007 (base 15) to base 6\nAnswer: 3523441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2 (b) 3 (c) -5.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 5. Let d be u\/17*10\/(-15). What is the closest to 4\/7 in d, -3\/2, -2\/17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*t*(t*t**(-1))\/t*(t**(1\/2))**(-2))**(-30) assuming t is positive.\nAnswer: t**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -26*d + 3. Give l(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155 - 140. Let b = 14197.163 + -14212. Let d = h + b. What is d rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 46*g**2 + 3*g - 2. Let h be (7 + (-80)\/16 + -3*2)\/(-4). Determine p(h).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004785 rounded to six dps?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 + 25 = 5*w. Suppose 0 = 4*t - 5*p - 89, 3*t - 75 = -2*t - p. Calculate the greatest common factor of w and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -92*i - 4. Let d be j(2). Let s be 7*-2*d\/8. Suppose 212 = b - s. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 0*i - 79204*i**2 + 85015*i**2 + 0*i. Let x(k) = -k**2. Calculate a(x(q)).\nAnswer: 5811*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96767 is divided by 224?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {f: 3, s: 8}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22223221 (base 4) in base 2?\nAnswer: 1010101011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 179702983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/13)\/f)\/f)\/f**(-2\/7)*f\/(f*f*f**30)*f**(1\/4)*f*f assuming f is positive.\nAnswer: f**(-11005\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -4*b - b. Let q(k) = 13*k - 1 - b*k + 15*k. Let x(y) = y. Suppose 0*p - 2*p = 3*l + 1, -4*l + 8 = 5*p. Determine p*q(u) - 10*x(u).\nAnswer: 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 969*a**2 + 976*a**2 - 2*a + 2*a - 1920*a**2.\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -25 + -24 + 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -9116450 - 6007*q + 1117*q**2 + 1102*q**2 - 2221*q**2 - 2533*q = 0. Calculate q.\nAnswer: -2135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**2 - 40*j + 46. Let s(o) = o**2 + 13*o - 15. Let x(h) = -7*s(h) - 2*v(h). What is the units digit of x(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**3 - 5*w**2 - 4*w - 3. Let s(l) = -9*l**3 + 9*l**2 + 7*l + 5. Give 3*s(i) + 5*x(i).\nAnswer: -2*i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1936, -4965, -7994?\n\"Answer: -3029*p + 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173391 is divided by 991.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*(-4)\/8)\/((-3)\/12). Let z(o) = 3*o**2 + 3*o + 3. Let k be z(-2). Let b = k + -9. Is q bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 299 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtdmrrxtxmdu. Give prob of picking 1 u, 1 x, and 2 r.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, -29 in increasing order.\nAnswer: -29, -19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 320*k - 2625 - 17535 for k.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 15, q + 0*j + 1 = j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1))\/u)**37*(u**(-1\/3))**(2\/37) assuming u is positive.\nAnswer: u**(-4109\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/5*1527\/(-12)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -104*p**5 - 6*p + 136. Let q(u) = -103*u**5 - 4*u + 137. Let g(w) = -3*d(w) + 4*q(w). Find the second derivative of g(f) wrt f.\nAnswer: -2000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 5:33 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4433*r - 2196*r + 9 - 2218*r as l + x*r and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*m - 1 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22 + 44 + -49 - (-246)\/14. Determine o so that 44\/7*o - 2\/7*o**2 - c = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15408 and 3300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 104. Let m = a + 74.16. Let j = m - 3.1. What is j rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 809*z + 14568. Give s(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 8*i**2 + 3*i - 75. What is d(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, g: 4, a: 8, o: 1}. What is prob of sequence va?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5*sqrt(504) - 2*sqrt(5600))\/(sqrt(8) + 3*(sqrt(24)\/sqrt(3) + sqrt(8)) - (sqrt(8) + sqrt(384)\/sqrt(3))) + -5)*6.\nAnswer: -210*sqrt(7) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -6260?\nAnswer: 31300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36072 + 1082323\/30. Find the common denominator of g and 187\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtewjdjhejjwdtjwjw. What is prob of picking 1 w and 1 e?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m = -6. Suppose 3 = v, -4*q - m*v = -5*q + 14. What is the remainder when q is divided by (-5)\/(-30) - (-2 - (-325)\/(-30))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8248, 8902, 10234, 12442, 15724?\nAnswer: 20278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 9, 0, 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8190968?\nAnswer: 2, 1023871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 11*p + 20. Let t be d(-11). Solve -7*h = -13 + t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(85) - (sqrt(85) - (sqrt(85) + 2*sqrt(85)*-1)))*-2)\/((-1*sqrt(2880))\/(-6*sqrt(36))).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5)\/l)**(-45)\/(l*l**(-17))**(1\/59) assuming l is positive.\nAnswer: l**(3733\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**5\/20 - 5*r**4\/6 - r**3\/6 - 5*r**2 - 19*r. Let k be ((-4)\/6)\/((-3)\/(-45)). Let o be j(k). Round o to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 35 (b) -0.3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15657, 31308, 46959?\n\"Answer: 15651*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g. Let n(l) = -l**3 - 8*l**2 + 11*l + 15. Suppose -5*a - 68 = -23. Let x be n(a). Determine k(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b - 2167?\nAnswer: -2108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**6\/360 + v**5\/15 + 3*v**4\/8 + 68*v**3\/3 + 15*v**2. Let m(h) be the first derivative of l(h). Solve m(j) = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -2)\/(-3)*-11. Suppose u - 116 = -5*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-seven halves of a meter?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -27593 in decreasing order.\nAnswer: -5, -8, -27593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 237 + -222. What is the remainder when 222 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/270 and -71\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -342 divided by -32260\nAnswer: 171\/16130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w - 6*w + 8*w + (3 - 4 + 2)*(-1 + 1 + 2*w) + 3*w + 0*w - 4*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 6*b**2 + 6*b - 1. Let o be c(-5). Does 11 divide (o*1)\/(9\/(-66))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*a**2 - 49*a + 697 - 57*a**5 + 10*a + 21*a + 21*a wrt a?\nAnswer: -1140*a**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4876525475 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 0*m**3 + 5\/8*m**4 + 19\/60*m**5 - 10*m**2 + 0 + 0*m. What is the second derivative of v(a) wrt a?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214761629139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 + 54. Suppose 4*i = 2*m - 72, -h - 30 = -5*m - 5*i. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 2*l**2 + 3*l**2)*(3*l - 6*l - 82*l**2 + 33*l**2)*(0*l + l + 0*l).\nAnswer: -147*l**5 - 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7934800?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/22)\/((-1620)\/(-1080)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192125, -192052, -191979?\nAnswer: -191906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 5*d + 2*k - 63, 14 = 4*d - 2*k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/25 of a microsecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d**2. Let h(b) = 2*b + 2. Calculate h(r(a)).\nAnswer: 18*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*s + 282, 0*s + s = -2*h + 539. Is h a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-6 + 3 + 2 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669235424 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5689105.\nAnswer: 5, 173, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 428 - 423. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11c96 + -4?\nAnswer: -11c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1658 + 5942 = 28*s. Let l(i) = i**3 + 3*i**2 - 3*i. Calculate the remainder when s is divided by l(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155.55 rounded to 0 decimal places?\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 1)*(3*j**3 + 2*j**3 - 6*j**3) + 2*j**3 + 7*j**2 - 12*j**2 - 12*j**2 to the form g*j + s*j**3 + w + b*j**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6099)\/(-30495))\/((-1)\/(-7))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 16 + 309*y**2 + 3 + 0*y + 4 + 7.\nAnswer: 309*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 1 - 12*w**2 + 11*w + 5*w**2 - 4*w + 0*w**2. Calculate c(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0618 and -2?\nAnswer: -0.1236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -5 + (8 - 13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 20 - 7. Let f(h) = -h**3 - 6*h**2 - 8*h + 6. Let x be f(-6). Calculate the highest common factor of v and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -3*l**4\/2 + 3*l**3\/2 + 75*l**2\/4 + 9*l + 34. Let y(b) = 0. Calculate b.\nAnswer: -2, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 39 = 2*a + a, 0 = -4*r - 12. Let s = a - 5. Suppose -5*q = -0*q - 2*x - s, -4*x + 9 = -q. Solve -n - 2*n = q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*g - 3649 = -2223 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h + 5. Suppose -4*k - w = k - 9, -2*k + 6 = -2*w. Which is the nearest to -2? (a) k (b) h (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 646679 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 13. Solve -t = -2*v + 6*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/40*(-16)\/(64\/580)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1278 and 568.\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h. Suppose 2*j + 25 - 35 = 0. Let m(r) = -j + 7 - r - 2. Give w(m(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one quarters of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93911, -187942, -281971, -375998, -470023?\nAnswer: -564046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**2 + j - 3. Let b(f) = 6*f**2 + f - 4. What is 3*b(q) - 4*r(q)?\nAnswer: -2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 + 8*n**2 - 8*n + 8. Let m(b) = b**2 - b + 1. Let y = -11 + 19. Calculate y*m(d) - o(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c + 8. Let j(m) = -2*m. Give j(z(l)).\nAnswer: -16*l - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trnr when four letters picked without replacement from {r: 2, c: 2, n: 1, t: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 677?\nAnswer: -67b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1c175 (base 13) to base 2\nAnswer: 1101011110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 1:59 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - (2 + -6 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 252*q + 3776.\nAnswer: (q - 236)*(q - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36237676.\nAnswer: 2, 17, 532907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**3 - 6*s**2 - 13 + 10*s - 6 + 35*s. Is y(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 159\/35?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6287471.\nAnswer: 271, 23201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9 = 3*o, -5*v + 4 = 3*o - 21. Suppose -a + o = 3*k + k, -5*a + 25 = 0. What is z in 2*z**3 + 8*z - 3*z**2 + k*z**3 - 5*z**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/613 > -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22384998 divided by 5?\nAnswer: 22384998\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 12 (c) -2 (d) 2 (e) -3 (f) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*c**3 + 0*c**3 - 10678*c + 10678*c.\nAnswer: 79*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -78272 less than 0?\nAnswer: 78272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r = 11*r - 312 + 213. Let c(v) be the third derivative of 0 - 3\/50*v**5 + 0*v + 0*v**r + 1\/20*v**4 + 22*v**2 - 1\/25*v**6. Factor c(q).\nAnswer: -6*q*(q + 1)*(4*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -868748 divided by 2\nAnswer: -434374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 419.9042 - -0.0958. Let y = 428 - i. Do y and 8 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 4, k: 1, y: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*w - 17*w + 3*w)*(-w**2 + 10*w**2 + 2*w**2) - w**3 + 2*w**3 + 0*w**3 + (-2 + 2 - w**2)*(-2 - 3 + 3 - 2*w) to y*w**2 + z + p*w + m*w**3 and give m.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/580 - 0\/(-1 + -2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 22249 = -3*m. Suppose 12*r - 5111 = m. Round r to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102428 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5712.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 + 0.05. Let l = k - 0.035. Round l to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2036*d + 1761*d = -288*d + 33327 + 162753 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 8:35 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133076405 divided by -397243.\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 12. Let s be h(-11). Let r(w) = 39*w + 432. Let v be r(-11). Solve v = 2*g + 4*b + s, 0 = 5*g - 3*b - 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(-6*i - 7*i**2 + 6*i) + (-2 + 0 + 1)*(0 - i**2 + 0) - 8 + 8 + 7*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 46 + -29 - 72 - (-9 - -2).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3, -3*l + 5 - 28 = -4*r. Suppose 594 + 6 = r*f. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(624)*-1)\/(sqrt(12)\/sqrt(4)*-1 - sqrt(3)))**2 - (sqrt(104) + -3*(sqrt(104)*-3 + sqrt(104) + sqrt(104)))\/(sqrt(2016)\/sqrt(7)).\nAnswer: -2*sqrt(13)\/3 + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (8 + -2 - (-8 + 13))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + sqrt(11)*-3 + sqrt(11) + sqrt(11)))**2 + 1*sqrt(99)*3.\nAnswer: 180 + 63*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)\/sqrt(72) + sqrt(44))\/(sqrt(891)*-1))\/((sqrt(36)\/sqrt(3) + sqrt(12))\/sqrt(6) - 2*sqrt(162)).\nAnswer: sqrt(2)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -192 + -57. Round v to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1213 + -23?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 6*z + 4. Let s be m(-6). Let u = 3.7359 - 0.2359. Which is the nearest to -3? (a) s (b) 3\/5 (c) u (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 8:40 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 1 - 3 - 2*k**2 + (-3 - k + 3)*(k + k + 0*k) - 2*k**2 + 7*k**2 + 4*k**2.\nAnswer: 5*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3\/4 (b) -2\/5 (c) -0.5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 5*u**7\/42 + 20*u**6\/3 + 144*u**5 + 4100*u**4\/3 + 7000*u**3\/3 - 60000*u**2 - 61*u + 26. Factor j(g).\nAnswer: 5*(g - 2)*(g + 10)**3*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -3, 7, 2, -1 in decreasing order.\nAnswer: 25, 7, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**2 + 276*y + 3. Let a be b(-46). Let x(i) be the first derivative of 0*i**2 - 3 + i**4 + 0*i + 2\/3*i**a + 2\/5*i**5. Factor x(m).\nAnswer: 2*m**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u + 2*p = 370, 4*u = -3*p + 735. Round u to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -82*v**3\/3 - 166*v. Let q(l) = l. Give r(q(s)).\nAnswer: -164*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t + 220. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 8*x + 42.\nAnswer: -2*(x - 3)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/13 + 11790*a**2\/13 - 17381406*a\/13 + 17369618\/13.\nAnswer: -2*(a - 2947)**2*(a - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6671742889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1145, 2276, 3399, 4514, 5621, 6720, 7811?\n\"Answer: -4*o**2 + 1143*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-36)*9)\/(6\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 7*u + 13. Let f be p(-9). Let w = f - -8. Which is the closest to 0.2? (a) w (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -603, -1208, -1807, -2400, -2987, -3568?\nAnswer: -4143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 70*p - 2090. Let b be i(30). What is the greatest common divisor of 1930 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - -4420?\nAnswer: 10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 + 38637312.55016.\nAnswer: 38637288.55016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-8)*524\/786.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*r = 3*r + 27, 0 = -5*r - 25. Let o be 0*(0\/1 - t). Suppose o = 2*v - 5*v + 3. Is 3\/2 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51.421164 + 0.2\nAnswer: 51.621164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {b: 8, s: 2, t: 2, o: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2237185?\nAnswer: 5, 257, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7334702363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2)*-2 + -3 + sqrt(2) + -5.\nAnswer: -10 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/1*(-2 + 3). Suppose 3 = 5*n - 5*s - l, 2*n = 5*s + 16. Let r = 4 + n. Calculate the smallest common multiple of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 90. Solve 6*v + 3 = 3*v + 3*l, 0 = 5*v + 4*l + t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -378\/93685 or 1?\nAnswer: -378\/93685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -2. Suppose -2*u = -4*p + 412, -f*p - 4*u = -154 - 144. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/6 and 119\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5553, 11574, 17945, 24672, 31761, 39218?\n\"Answer: t**3 + 169*t**2 + 5507*t - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27962.5*-11.\nAnswer: 307587.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15997 by -15997.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*h**2*t**3*w**2 + h**2*t**3 - 17*h**2*t**2 + h**2*t*w - h*t**3*w**2 + 4*t**2 wrt w.\nAnswer: 148*h**2*t**3 - 2*h*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75940?\nAnswer: 2, 5, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2292, 9228, 20806, 37026, 57888?\nAnswer: 83392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352) + (sqrt(352)*2 + sqrt(352) - sqrt(352)) - sqrt(352) - sqrt(352)) + sqrt(66)\/sqrt(3)*-4)\/(-3*((sqrt(2) + sqrt(2)*5)*-6 + sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z. Suppose -3*x - 2*x - 5 = z. Let c be ((-2)\/x)\/((-2)\/3). Let f(a) = -4*a**2 - 2*a. Let s(i) = 7*i**2 + 4*i. Give c*s(q) - 5*f(q).\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g**2 - 101*g + 130 = 0. What is g?\nAnswer: 10\/7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 3. Let r be u(0). Suppose -4*f = -4*k + 8, -k + 5 = -5*f + r. Solve 3*o = -f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 7:46 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/3 + 6130*v**4\/3 - 3241502*v**3\/3 + 102545806*v**2\/3 - 1111832216*v\/3 + 4047123784\/3 = 0. Calculate v.\nAnswer: 11, 634, 2398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1042795896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 24*k**5 + 8*k**4 + 17*k**2 + 8*k. Let r(m) = -16*m**5 - 5*m**4 - 11*m**2 - 5*m. Let d(j) = 8*r(j) + 5*y(j). Find the third derivative of d(f) wrt f.\nAnswer: -480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 9. Does 3 divide r\/4*(9 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**(-13)*j)\/j)\/((j**4*j)\/j) assuming j is positive.\nAnswer: j**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -4. Let d = 2648 - 2643. Let y be 3*(-1)\/(-4) + 0. Which is the closest to 1? (a) w (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i + 32. Calculate w(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -11. Let c(x) = 2*x**3 - 3*x + 2. What is the remainder when c(3) is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*k = -77*k - 4. Calculate the highest common divisor of 8 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/36)\/(3*2\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (492\/(-697))\/((-2)\/(-17)) - -19.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17654 - -17664. Solve j + 6*b - b = d, -4*b + 32 = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 33. Solve -u*m = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + (-28)\/(-20))*-5. Let k be (-126)\/(-8) - (-2)\/8. Calculate the highest common factor of a and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - (4*6\/(-12) - -3)*3. Let p(c) be the third derivative of 0*c + 3*c**3 + 8\/15*c**5 + 0 - d*c**4 + 13*c**2. Find x, given that p(x) = 0.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508316?\nAnswer: 2, 127079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144076860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6132, 2, 4 in descending order.\nAnswer: 6132, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/69 or 78?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2967241*d**4*k**3 + 2*d**3 - 76816891*d*k**3 + 2*d*k wrt d.\nAnswer: -35606892*d**2*k**3 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8552, 16706, 24874, 33062, 41276, 49522?\n\"Answer: d**3 + d**2 + 8144*d + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22*5 - 1\/4*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47647 = 27*h - 121914 + 45685. What is the highest common divisor of 1258 and h?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, 10, 39, 80, 133, 198?\n\"Answer: 6*q**2 - q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + l - 2 = 0, 10 = u + 4*l + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**4\/24 - 2*t**3\/9 - t**2\/3 + 8*t\/3 + 582. Determine z, given that u(z) = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118 by -118.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5289.304 decades?\nAnswer: 634716.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 131649 divided by 131649?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + o + 9, d - o + 1855 = 1852 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 + 2*m**2 + 4*m - 2. Let n(w) = w**3 + w**2 + 3*w - 1. Let o = 122 - 119. Suppose -2 = 2*a + 6. Determine a*n(r) + o*i(r).\nAnswer: 2*r**3 + 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*h**2*v**3*y**2 - 7945*h**2*y**3 - 3*h**2 - 2*h*v**3*y**3 + 2*h + 196*v**3*y**2 wrt y?\nAnswer: -47670*h**2 - 12*h*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 3*s - s)*(39 + 23 + 5) + s + 0*s - 4*s - 3*s + s + s + (-1 + 1 - s)*(3 - 5 + 3).\nAnswer: -139*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5345.\nAnswer: 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.078*0.4.\nAnswer: -0.0312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1512\/35)\/(6\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - 114*i - 2235. Calculate w(-10).\nAnswer: -895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 953023265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3162839?\nAnswer: 3162839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a minute?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*v - 4*v**5 - 15*v)*(5 - 3 + 1).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*q + 213864 = 261*q. Is 228 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*u - 30491 = 35169 - 70574 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -110010111100111?\nAnswer: -110010111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -9. Suppose u + 2*p + 202 = 6*u, 142 = 3*u + 4*p. What is the lowest common multiple of h and u?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21*(0 + (-6)\/(-9)). Suppose 2*w + i = 10, -y = -4*w - 0*w - 5*i. Is 627\/w - (-12)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*g - 402 = -391, -5*g - 13 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*w - 10. Calculate the highest common divisor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2942?\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -43.375. Let y = g + 0.065. Let o = y + 0.3100255. What is o rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-154)\/3465)\/((-4)\/30).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4978*a + 2401*a - 3921*a - 1464*a.\nAnswer: -7962*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114939, 115058, 115397, 116070, 117191, 118874?\nAnswer: 121233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -325, -4, 1\/7?\nAnswer: -325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4321 (base 5) to base 8\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 4*d + d)*(-2*d**2 + d**2 + 3*d**2) + (-568 - 596 - 505)*(2*d**3 + 2*d**2 - 2*d**2).\nAnswer: -3336*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 145319350 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88742184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12535 and 39488585.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780970.\nAnswer: 2, 5, 29, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b + l = 154, l - 116 = 3*b. Let m = 27 + b. Let q = 19 + m. What is the smallest common multiple of 10 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 7 - ((-25 + 10 - 0) + 28)) + -20?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = -3. Let y be k\/9 + 133\/9. Let r = -5 + y. Solve -5*w + 0*w - r = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103259.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*o + 48*o = -55*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 + 48*c - 571*c + 61*c.\nAnswer: -462*c - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 6:39 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4338*a - 2684 + 15620 + 37646 = -5812 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13653, -13584, -13515, -13446?\n\"Answer: 69*h - 13722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60.88 or -5\/27?\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 10*c, 0 = z - 2*c. Sort 5, z, -7 in decreasing order.\nAnswer: 5, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiggiiiii. What is prob of picking 2 i and 1 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9507 + 10\/50*-65?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4900 = -5*c, 2066 = 3*c + 5*w - 902. What are the prime factors of c?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2 = 2*p. Let m be 21\/9 - p\/(-3). Factor i**3 - 4*i**4 + m*i**4 + 5*i**4.\nAnswer: i**3*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.882*-118.1.\nAnswer: -1875.6642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2692565 by -5.\nAnswer: -538513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34 + 102 - 30)*(-9*y**2 + 15 - 15) + (5 - 5 + 2*y)*(0*y - 5*y + 3*y) to the form u*y + q + g*y**2 and give g.\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/19)*w)\/((w\/((w**(3\/7)*w)\/w))\/w*w)*(w**5\/w*w)\/w**(2\/15) assuming w is positive.\nAnswer: w**(10354\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 13*l**2 + 84*l + 16. Give z(-7).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4061, 5, -2522.\nAnswer: -4061, -2522, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4 + 1.39734. Round w to 4 dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 3*s - 18, 1 = 2*s + 3*o - 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 0*h - h)*(0*h + 0*h - 4*h) + 2*h**2 - 3 + 3.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14662\/5 + 2933. What is the third biggest value in -5\/2, -0.1, h?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h*y**3 + 2*h*y + 7*h + 134853*y**3 + 5928*y wrt y?\nAnswer: 36*h*y + 809118*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78310 and 0.3?\nAnswer: -23493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422 (base 14) to base 9.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-735)\/98)\/(7\/(1232\/24)*1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 0 + (3 - (7 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -9*j**2 - 3*j + 10679. Give d(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -748 times -13476\nAnswer: 10080048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 9 = t, -z - 4*z + 14 = -t. Let s = -6 + t. Calculate the smallest common multiple of (-1 + 0)\/(s\/(-30)) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 575, 1152, 1729, 2306, 2883, 3460?\nAnswer: 4037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-66 - (24 - 100))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1568, -3 in decreasing order.\nAnswer: -3, -4, -1568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from espoggosjjgeejs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -52*11\/(-14872) + (-2)\/4\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 16, -4*s + 56 = m - 16. Suppose 0 = 2*f - 146 + 36. Suppose -2*w + 9 = -f. What is the remainder when w is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cec when three letters picked without replacement from {z: 7, c: 4, s: 1, e: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/1215*(5 - -1). Suppose 3*r = -r. Suppose 0 = 5*z - r + 5. Is n bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*x = 0. Suppose 3*v - 2*v - 67 = x. Let f = 137\/2 - v. What is the nearest to -1 in -0.2, -3, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 30*v**2 + 51*v + 419. Let s be x(32). Solve 5*f + 2*o = -47 + 32, 0 = -s*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**6\/120 + m**5\/15 + m**4\/24 - m**3\/6 - 3*m**2. Let k be u(4). What are the prime factors of (-25)\/(-20) - k\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c**3 + 159*c**2 + 846*c + 57. Determine l(-9).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 10*i - 20. Let c be 3\/(-4 - (-33)\/9). Let y be d(c). Let f = y - -9. Is -20 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-152)\/1140)\/(99*(-20)\/(-1350))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*z - 16904*z**3 - 14 + 14 + 16943*z**3 to the form a*z**2 + l + o*z + p*z**3 and give o.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from ssellfsevs?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2832 is divided by 309.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-246)\/14 + 93\/(-217). Is 33234\/o*3*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-8\/7)*q**(6\/11) assuming q is positive.\nAnswer: q**(-46\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 2. Let x = 139 + -135. Let t(r) = 4*r**2 - r + 5. Let s(d) = x*t(d) - 10*i(d). Factor s(h).\nAnswer: -4*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**2. Let f(r) = 5*r - 14. What is c(f(d))?\nAnswer: -125*d**2 + 700*d - 980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 7, 5, -0.06?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b5935 (base 12) in base 7?\nAnswer: -2011043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/(10\/60). Let l(f) = -2*f + 0*f**2 - 44*f**3 + 42*f**o + 0*f - 4*f**2 - 3*f**2. Give l(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4181748172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5860479 is divided by 1953491.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.28 * 164.\nAnswer: 45.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 446 = 4*q - 537 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) -0.67 (c) -2 (d) -12 (e) -6 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 33400*k**2 + 34*k - 114. Let g be j(21). Round g to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3813868*z - 984*z**3 + 3813868*z)*(3 - 2*z - 3) as t*z**2 + f*z**4 + n*z**3 + d + m*z and give f.\nAnswer: 1968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.543 and 0.1535?\nAnswer: 3.6965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*h**4 + 3*h - 24*h**3 + 77*h**4 - 136*h**4 - 2 as y*h**2 + g + p*h + m*h**3 + s*h**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 336535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, 454, -0.03 in ascending order.\nAnswer: -0.03, 0.4, 4, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12 - 2)\/((0 - 2) + 1). Let l be 2\/4 - 2\/4. Suppose l = -5*q - 0 - 5. Is q > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -4341122?\nAnswer: -4341125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v - 0*v + 1395. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, -2216245, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -3*v - 455. Suppose 2*j - q = -0*q + 210, -j + v = 3*q. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 872\/109*477\/(-72).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*r = -7*r - 3, r = 0. Suppose 2*y - 22 = 6*a - 4*a, -b*y + 21 = 3*a. Let p(g) = g + 1. Calculate the remainder when y is divided by p(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 686 divided by -14\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -291*u**6 + u**4 - 40*u**3 + 9052*u**2 + 5*u.\nAnswer: -34920*u**3 + 24*u - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123\/242 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1074 = 2*t, 504 = t + 7*g - 10*g. What is the remainder when t is divided by 168?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99110 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509014.\nAnswer: 2, 13, 127, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 19 - ((203 - 222) + (23 - 2))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1173 and 313559.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let i be a(5). Let l(k) = -k**3 + 7*k**2 - 2*k - 4. What is the remainder when l(i) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512022 less than 9072139\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 102*f**2 + 3*f - 8. Let u be s(-8). Let h = u - 10896. What is h rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 672 by -6.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - 10 - -1 - ((-3)\/(-1) + -162997) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106392526363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -62, 31, 2 in decreasing order.\nAnswer: 31, 3, 2, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -812 - -812. Suppose h = 21*p - 8*p - 21073. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*b + 3*w - 6, 5*b + 5*w + 5 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 42 + 111 = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 246582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(2 + 2 + 1)*(l - l + 2*l).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**8\/336 + q**4\/4 - 10*q**2 + 14. Let j(i) be the second derivative of k(i). Find the second derivative of j(b) wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -60*t**3 + 2*t**2 + 4*t - 2. Give r(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/3 + 20507*z**2\/3 - 61514*z\/3 + 41008\/3 = 0 for z.\nAnswer: 1, 2, 20504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -150, -247, -344, -441, -538, -635?\n\"Answer: -97*q - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*v - 20, -4*f + 3*v - 4 = -2*v. Let t(s) = 13 + 7*s + 4 - 8. What is the units digit of t(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5253, -21524, -48587, -86436, -135065, -194468, -264639, -345572?\nAnswer: -437261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332*(-506)\/198*-12 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 988 + -1625. Let r = -633 - i. Solve -r*n + 11 = -5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*(-3 + -1). Suppose n = -n. Suppose m = -n*m. Solve -k*p + 3*p = m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -71833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*((-288)\/1296*36\/2)\/5.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 990626.8 decades to months.\nAnswer: 118875216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121 + -70. Let v(c) = -9*c - 3. Let o be v(-6). What is the greatest common divisor of o and d?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*y = 1000020, 0 = 3*w + 2*y + y + 1499988. What is w rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1200 and -143444?\nAnswer: -172132800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -1252 - 809. Let j = 303 - i. Calculate the remainder when j is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3\/7, -14\/15, 3, -0.5, 0.085?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009247328576 to 7 dps.\nAnswer: -0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 - 6 = 17*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3 = 5*m - 2, 0 = 3*t + 2*m - 1. Let w be t + (1 - -12 - 2). Suppose 0 = -4*z - 5*g + 15, z - 4*z = 3*g - w. Solve x - z*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 641*((-950)\/315 + 3). Let z be 2\/(-8) - 562\/56. Let d = t - z. What is the closest to -3 in d, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 32*b + 122. What is c(36)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14606?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 - 1) + -49 + (-2 - 0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4130c (base 13) to base 16.\nAnswer: 1c8e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*sqrt(11) + sqrt(11)) + 1.\nAnswer: 1 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, 4, -6 in decreasing order.\nAnswer: 84, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -57*o + 6. Let n(g) = 52*g - 7. Calculate 4*n(f) + 5*x(f).\nAnswer: -77*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.48 - -0.1. Let w = -0.08 - r. Which is the nearest to 0? (a) 5\/4 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -13*c**3 - 1. Let s be l(-2). Let a = s - 104. Let q be (a\/1)\/((-21)\/(-105)). Sort q, 6, 0.\nAnswer: q, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atl when three letters picked without replacement from bqbabaambablbatqaaba.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 30*y + 12*y - 45 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w - 2*w - 4829. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/244375 + 77466812\/15395625. Let m = 80\/9 - x. Find the common denominator of ((-9)\/(-54))\/(2\/(-206)) and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*m - 4*o, -3*m - 32*o + 9 = -29*o. Let i be (-8)\/5 - 2\/5. Let y(r) = r**2 + r. Let f be y(i). Solve m = -f*b - b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 297 + 1?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**4\/8 - w**3\/2 + 2*w**2. Let k be c(7). Let g(y) = y**3 - y**2 - y - 23. Let d be g(0). Is k less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19\/(-418))\/((-4)\/22))\/(1\/(-1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486 = -98*i + 494 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84587689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 354?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a0 + 4?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/l**(-1)*l)**(-1\/71)*((l\/(l*l\/l**(2\/7)*l))\/l)**(-3\/16) assuming l is positive.\nAnswer: l**(3487\/7952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1085 - 193 = 4*x. Let u = x + -313. Calculate the common denominator of 109\/10 and -1 + 1 - u\/(-22).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c\/((c*c**(-39))\/c)*c)\/c)\/c)\/c)\/(c\/c**(2\/43))*(c*c**7*c)**(-2) assuming c is positive.\nAnswer: c**(862\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04632 to 3 dps.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9064\/70469 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Let g(h) = 3*h + 2. Let o be g(l). Calculate the highest common factor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g + 3 + 1 + 1 - 4. Let k be y(-1). Let o = 13 + k. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -664*n**3 - 95*n - 1 wrt n?\nAnswer: -3984*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 8*k + 15. What is i(8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-30)\/(-9))*-4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -5*u - 14, -6 = -923*u + 926*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*z - 149*z + 22 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8576981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1.3. Let y be (-1276)\/116 + (5 + -1)*130\/48. Which is the third biggest value? (a) w (b) y (c) -0.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/3*(-31255329)\/658 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 332 + -16?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3039 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: Solve 150549 + 34088 = 7819*k + 51714 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/494 and 71\/5320.\nAnswer: 69160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1641*b*c**2*u - 3075*b*c*u**3 + 67368*b*u**3 + 495*b*u wrt c.\nAnswer: -3282*b*c*u - 3075*b*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 - d**5 + d**5 + (-3*d + 2*d - 2*d)*(0*d**2 + 3*d**4 + 0*d**2) + (32*d - 11*d + 8*d - 3*d**4)*(5 + d - 5).\nAnswer: -13*d**5 + 29*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 225, 440, 641, 822, 977, 1100?\n\"Answer: -c**3 - c**2 + 225*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 48 = -l, 3*l + l = 4*v - 36. Solve -5 = -0*z - 4*z + 5*x, -x = 2*z - v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85309 and 104460?\nAnswer: 5118540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(1\/5)))**28 assuming q is positive.\nAnswer: q**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89.39 + 90. Let c = -0.62 - 0.089. Let d = v + c. What is d rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let a(d) = -d. Let y(b) = 5*b + 0 - 3 + 3. Let v(u) = -a(u) - y(u). Let f(t) = -5*n(t) + v(t). Let m(w) = 8*w. Calculate m(f(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b**2 + 2*b + 1 - 4*b)*(0 + 0 + 2*b).\nAnswer: 2*b**3 - 8*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 14*d**2 - 24*d + 2. Let k be l(-12). Let j(x) = -53*x - 51*x + 104*x - 4*x**k. Let z(i) = -i**2. Determine z(j(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/8 of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19552, 19497, 19440, 19381?\n\"Answer: -g**2 - 52*g + 19605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -3 - -1 - 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4540142 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**3 - 19*m**2 - 30*m + 48. Calculate j(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*j + 948 = 6*n, -5*n + 4*j + 949 = 0. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1232289310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) - 1*(sqrt(17) + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, 145, 565, 1383, 2731, 4741?\n\"Answer: 22*m**3 + m**2 - 3*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -311, 337435, 2 in descending order.\nAnswer: 337435, 2, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 16)\/((-2)\/8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004764 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -35*m**2 - 2*m - 1. Let w(j) = -1894*j**2 - 22*j - 10. Calculate 22*d(i) - 2*w(i).\nAnswer: 3018*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1747810 (base 10) to base 3\nAnswer: -10021210112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 9 + (-1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -91150.6 to the nearest 1000.\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u + 9. Let a(g) = g**2 - g - 6. Let c be a(-3). Let z(w) = 2 - 1 - 3*w + 4. Determine c*n(j) - 11*z(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 154.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 3*c**2 + c - 2. Suppose 0 = -u + 4*l, 4*u + 4*l = u. Suppose -4*s - 5*b - 22 = u, 3*s - b = -0*b - 7. Calculate i(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27094 * 1\nAnswer: -27094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 668 and 1169?\nAnswer: 4676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32659119 is divided by 32659113.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07903 times -743.2?\nAnswer: 58.735096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 10*n**2 + 12*n + 16. Let h(l) = -3*l**2 - 2*l - 3. Let v be h(-2). Let k be f(v). Suppose -k*o = -0*o - 55. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-9))\/(8450\/1014).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36, -58, -108, -198, -340, -546, -828?\n\"Answer: -2*f**3 - 2*f**2 - 2*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868 is divided by 854?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvavvaavv. What is prob of picking 3 a and 1 v?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9652282259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -7. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 3:09 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13918 is divided by 1964.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 11412787?\nAnswer: 45651148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*w**2 - 38*w**2 + 96*w**2 + 58*w**2 + 55*w**2 in the form s*w + g + n*w**2 and give n.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from hpphpppppphppppphpp?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-14)*(124\/3720)\/(2\/(-16))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -557 - -561. Which is the closest to 0.4? (a) 3\/7 (b) -4 (c) m (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -933 - -932.9998743. Round d to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/32811, -3\/8, -38, -2\/103, 0 in descending order.\nAnswer: 1\/32811, 0, -2\/103, -3\/8, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(30732\/(-32))*5\/10*24\/16.\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4950?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11216 in 6, 0, -38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**5 + 575*q**4 + 565*q**3 - 575*q**2 - 570*q = 0.\nAnswer: -114, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.29 and 0.379.\nAnswer: 4.65791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 15. Let c(b) = -b**3 + b. Let f(z) = -5*z**3 + 2*z**2 + 4*z - 3. Let i(r) = 6*c(r) - f(r). Calculate i(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.063 + 31.08. Which is smaller: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-132)\/(-21) + 8\/(-28). Is 8 a factor of (q*20\/12)\/((-1)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135457746*c**3*p - c**2*p - 2*c**2 - c*p - 51608*c + p - 25 wrt c.\nAnswer: -812746476*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - x)*(2*x**2 + 5 - 5)*(-24*x + x**2 + 24*x).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 - 3.4. Which is the nearest to -1\/2? (a) 0.3 (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 36 = 7*j. Let y be -4 - (2 + j\/(-2) + -1). Suppose -5*z - 3*v + y*v = -14, 4*z + 4*v - 16 = 0. Solve -2*s = -z*s + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19856*o**2 + 29*o + 7049*o**2 - 30*o in the form h*o + p + a*o**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**2 + 3*t**2 - 4*t**2 - 3375 + 2*t**4 - 584*t**3 + 3374 to the form h*t**3 + o + l*t + p*t**2 + v*t**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - g + 1516, 3*z - 4*g - 1860 - 2695 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 767593, 1535185, 2302777, 3070369, 3837961?\nAnswer: 4605553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -326*x + 152. Determine w(1).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(120) - (sqrt(120) + sqrt(120)*2)))\/(2*sqrt(3)*3))\/(6*-3*sqrt(8) + sqrt(8) - (sqrt(8) + -6*sqrt(32))).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2353400 rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2\/6)*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 513\/955 + 12\/191. What is the second biggest value in 0.1, v, -13\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvldlllllaall. What is prob of sequence dla?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -212*o + 5 + 110 + 15 + 19 + 3 wrt o.\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*v + 0*v - 2*v + 2*v - 1 + 1 - 3*v - v + 3*v + (v + 0*v - 3*v)*(4 + 2 - 5) + v - 2*v + 3*v + 3*v - 2*v - 2*v + (-1 + 4 - 2)*(5*v + 4*v - 5*v).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.91 and 55.\nAnswer: 55.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:22 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19611\/26082 + (16 - 2736\/168) + 4\/(-9).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -6. Solve c*r = 6 + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**19\/h*(h*h*h**(2\/31)*h)\/h)**(-31))**33 assuming h is positive.\nAnswer: h**(-20526)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17838 divided by 2.\nAnswer: 8919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from ppwwfpppphpwhpww?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 1. Let j(y) = -18*y**2 - 6. What is j(z) + 6*q(z)?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1046, 1046, 1042, 1034, 1022, 1006, 986?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25389406 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 23\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -1. Let o = -0.35 - 6.65. What is the closest to o in m, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/4)*x)**(2\/11)*x**(8\/5)\/(x*x*x**(-1\/2)*x) assuming x is positive.\nAnswer: x**(-27\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 15*b**2 - b + 2. Let w = -26 - -28. Is 34 a factor of c(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 + 7*x**2 - 2*x + 2. Let c be g(3). Solve 2 - 3 = -2*b - z, c*b + 4*z - 10 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1107 - 1.773.\nAnswer: -1108.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8, 7, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -588726 and 0.2.\nAnswer: -117745.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, h: 5, t: 7, x: 1}. Give prob of picking 1 x, 1 h, and 1 t.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w - 5. Let m(v) = -5*v + 10. Calculate -7*k(p) - 3*m(p).\nAnswer: p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2274 - 1394. Calculate the highest common divisor of 550 and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2126730671 a multiple of 10463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5343*g**2 + 10680*g**2 - 5330*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249984105.\nAnswer: 3, 5, 7, 2380801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17047165 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -10 + -20 + 43\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(80))\/sqrt(4))\/((-1*sqrt(16))\/sqrt(4))*1.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -8*a**2 - 15*a + 230. Calculate the remainder when k(0) is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-22 - -11)) + -2 + -12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is cabbb + 5a6?\nAnswer: cb494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 10 - 50*m - 6*m - 2*m + 7*m + 5.\nAnswer: -51*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + r)*(-3*r + 3*r - r**2) + 1 - 2*r**3 - 1 - 16*r**3 + 6*r**3 - 6*r**3 - 7*r**3 + 3*r**3 + r**3 + (2*r - 2*r + 3*r**3)*(0 + 11 + 2).\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/11)\/(114\/(-418))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222325232 to the power of 1\/2, to the nearest integer?\nAnswer: 47142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1299865.87 to the nearest 1000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -3034?\nAnswer: 3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74760*q - 74581*q + 27029 for q.\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2944, -7750, -12542, -17314, -22060, -26774?\n\"Answer: o**3 + o**2 - 4816*o + 1870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -264749, 1, 2\/11 in decreasing order.\nAnswer: 1, 4\/5, 2\/11, -264749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*f + 12, 5*z - 7 - 3 = -3*f. Let p(u) = 5*u**2 + 2*u + 1. Let d = 151 - 133. Calculate the least common multiple of d and p(z).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14184*m - 584 = -14192*m. Do 64 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1 - 1)\/2)\/(6\/(-1230)). Suppose p - z = 4*z + v, 0 = -3*z. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3696707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**2*p**5 + 7*h**2 + 2833*h*p**2 - 5707*p**5 wrt p?\nAnswer: -120*h**2*p**2 - 342420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051197 rounded to 4 decimal places?\nAnswer: -0.0512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 9, -0.4, -0.1, -0.06?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122210 (base 4) to base 14.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 1:30 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Suppose -u + 2 = d. List the prime factors of ((-15)\/(-5))\/(u\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, -81, -189, -361, -609, -945, -1381?\n\"Answer: -2*s**3 - 14*s**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 513, 3\/19.\nAnswer: 3\/19, 7, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((5*sqrt(76))\/sqrt(4) - (-4 + sqrt(475))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-2 + sqrt(325)) + 6*(sqrt(325) + 1*sqrt(325)) + 2)*-4)**2.\nAnswer: -9600*sqrt(13) + 1170256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1012.005224 + 1012. What is c rounded to four dps?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 7*y = 27*y - 108 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpyki. What is prob of picking 1 y, 1 i, and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.039?\nAnswer: 0.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**2\/2 + 11*d + 3. Let p be z(-10). Sort 2, p, 5 in descending order.\nAnswer: 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 1:28 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cca when three letters picked without replacement from aac?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420*u + 410*u - 840*u + 50 = 0. Suppose -5*j + 10 = -3*j. Solve -i = -j*i - u*p - 16, 4*i + 4*p = -16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*v - 3*v + 2*a, -4*v + 3*a = 55. Let p = -12 - v. Solve -4*c = p*r - 0*r + 8, c = -4*r - 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 0)\/((-3)\/15). Suppose 0 = -i + 1, -s + 2*i = -4*s + 38. Solve 0 = -u*f + f + s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57539.606 + -33\nAnswer: -57572.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-7)*(-24)\/3*-7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/(18755\/(-22))*5)\/(30\/(-5))?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2035, 8461, 19219, 34321, 53779, 77605?\nAnswer: 105811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, -5, 1\/4, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21189 to three dps.\nAnswer: 0.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -1864778?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3\/2 (b) 12 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58459592 divided by -7.\nAnswer: -58459592\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176507 at most as big as 1176515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -38, -4, -1, 0 in descending order.\nAnswer: 6, 0, -1, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**4 - 837*u**2 - 1. Let m(g) = -8 + 8 - 5*g. What is n(m(l))?\nAnswer: -120*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 308989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 + 1. Let a be f(-2). Let q be (-7)\/14 - a\/(-2). What is the tens digit of (-101)\/q - 4\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9494*b - 9494*b - 213*b**2)*(-b - 4 + 1 + 0*b)*(-1 - 1 + 1).\nAnswer: -213*b**3 - 639*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyo when three letters picked without replacement from loyoy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 520840*g**2*h**2 + 1763231*g**2 + 3*g*h**2 with respect to h.\nAnswer: 1041680*g**2*h + 6*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - -47 - (404 + -217).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 137 - 98. Suppose 0 = -3*s + 24 - a. What are the prime factors of 31\/(-2)*(-5 + (s - 2))?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130284?\nAnswer: 2, 3, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6409704 = -33*z - 3773962 + 615349. What is z rounded to the nearest one thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1638*b - 1640*b - 3 + 1 + 2.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12645 and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -2225 in ascending order.\nAnswer: -2225, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*t - 90 = -7*t, -17524*t + 17519*t = 4*g - 117 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9420672 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 537\/7 - 77. Suppose 0 = 2*x - 5*f + 9, 0 = -x - 5*f + 3 - 0. What is the second smallest value in w, x, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4946471927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c6 - -4?\nAnswer: -5c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20676541?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:14 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Suppose -2*t + 48 = g*h, -4 = -3*t + 2. Suppose -2*o + 8 = -h. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -76, -53, -22, 17, 64?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -157, -332, -653, -1168, -1925?\nAnswer: -2972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 3\/(-3) + 35. Suppose -4*i + 162 = 2*n, 2*i - 75 = -5*n - 14. What is the third derivative of -86*v**2 + t*v**2 + i*v**2 + v**4 wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - (18 - 50)) + 14 - -64.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 14 + -8 + -16 + 6 - 99?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 6:12 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049 plus 332517072?\nAnswer: 332517072.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - w - 36 = 0, 0*w = -t + 4*w + 9. Let j(q) = -q**3 + 9*q**2 + 5*q + 11. Let p be j(t). What is the highest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32d (base 14) to base 11\nAnswer: -522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from qrrqpoofrr.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -16, 107\/17?\nAnswer: 107\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8836, 36511, 82636, 147211, 230236, 331711?\nAnswer: 451636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -26*b**2 - 29*b + 1106. Let w(v) = -5*v**2 - 6*v + 214. Let a(m) = -6*k(m) + 31*w(m). Calculate a(-5).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**6\/180 + 17*v**5\/90 + 55*v**4\/18 - v**2 - 1547*v + 3. Find p such that r(p) = 0.\nAnswer: -5, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/3946236 and -81\/560?\nAnswer: 78924720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27496086.\nAnswer: 2, 3, 23, 199247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000075159 to seven decimal places.\nAnswer: 0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -7a3?\nAnswer: 7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:48 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k + 9029 = -22358 - 20813. What is the greatest common factor of 360 and k?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/44587500 and -11\/297250?\nAnswer: 44587500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 15, w: 4}. Give prob of picking 1 w and 1 u.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 3)*(0*u - 10*u + 0*u)*(-4 + 5 + 0)*(0 + 1 - 2) to z*u + d and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/30)\/(2\/3))\/(-5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 1. Let f = z - 3. Let d = 1 + f. What is the second biggest value in 3\/7, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 = -3*z + 8*z + 285 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1086 (b) 4 (c) 0.7 (d) -42 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 1612*i - 1617*i - 35, 0 = -3*d + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 811291*i**2 + 811288*i**2 + 811285*i**2 - 2433866*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5*5\/(-1). Is ((-652)\/8)\/(1\/l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/320 and 22\/26679.\nAnswer: 8537280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 3. Let h(k) = 3*k - k**2 + i + 2 + 2*k. What is the units digit of h(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.54 + -1.6. Let l = -1.94 + z. Let c = -0.32 + 0.72. Is c not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 25*k = -4. Let b(z) = -z + 10. Let h be b(6). Let n be (6\/h)\/(24\/(-80)). Put k, n, -2 in descending order.\nAnswer: -2, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/12*4\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 5*u - 18, u - 10 = -5*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**32*c)\/c**(-32) assuming c is positive.\nAnswer: c**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-8))\/(3\/(-4)). Let l = -122\/25 + -181\/50. What is the nearest to z in l, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39.6 - 40. Sort -1, 2.2, a, 0.08 in decreasing order.\nAnswer: 2.2, 0.08, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351, -1336, -2971, -5262, -8215?\nAnswer: -11836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(4*(-4)\/(-16)). Suppose r - 2*q - 23 = -6*q, r + q - 8 = g. Solve 0 = t - r + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*c**3\/3 + 26*c**2 - 106*c\/3 + 4.\nAnswer: 2*(c - 1)*(c + 6)*(8*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtjtjikrjxkkrixtrikr. What is prob of picking 2 x?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-4))\/((-54)\/(-216)). Factor 2\/3*m - 2\/9*m**b + 0*m**2 - 4\/9.\nAnswer: -2*(m - 1)**2*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-5)\/(-6))*-4)\/((-195)\/(-130))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 71, 146, 223, 302, 383?\n\"Answer: z**2 + 72*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 8*z**3\/3 + z**2 - 2*z. Let q(p) = p + 5. Let s be q(-4). Does 7 divide w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3189\/75*5 - (-2)\/5. Let y = l - 205. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v**3 + 153104*v**2 - 51030*v - 102068 = 0. Calculate v.\nAnswer: -2\/3, 1, 25517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let c(r) be the first derivative of 7*r**4\/6 - 6*r - 3. Let x(u) be the first derivative of c(u). What is o(x(q))?\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + a**2 + 5*a + 8. What is d(4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62025 or -55049?\nAnswer: -55049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -5 - -1) + -2. Let l be 1\/k*144\/(-3). Let w(z) = -4*z + l - 16. Let s(b) = 2*b. Determine s(w(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 4:45 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 2*w - 6*w - 8, -2*u - 2 = 2*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -468.04312 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 923 and 4719?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h + 14356 - 14356. Let n(z) = 356*z - 360*z + 0 - 1. Determine -6*c(y) - 4*n(y).\nAnswer: -2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2*3\/30). Suppose -a - 1 = u, 5 = -5*a + 2*a - l*u. Solve a = -2*d - 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 + -396. Let j = x - -625. Is j a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**5\/20 - 3*p**2. Let u(n) = 6*n. Let f(r) = r - 5*r - 3*r. Let a(q) = -5*f(q) - 6*u(q). Calculate h(a(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**5 + 75*a**4 - 114*a**3 - 936*a**2 = 0.\nAnswer: -26, -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58922226 and 471377808?\nAnswer: 471377808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2. Let b(d) = 11*d**2 - 5. Let j(g) = 11*g**2 - 6. Let p(l) = 6*b(l) - 5*j(l). Determine p(a(r)).\nAnswer: 44*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 311?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4032)\/(-196))\/72*(49\/18)\/7.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 10:47 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2285, -2\/7759 in descending order.\nAnswer: -2\/7759, -15, -2285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 9*x**2 + 16*x - 8. Suppose 14 = 4*k - 2*k. Let v be r(k). Let d(a) = -a**3 - 7*a**2 - a - 2. Let p be d(-7). Put v, 2, p in descending order.\nAnswer: v, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192*j**3 - 18758736*j**2 + 458162194347*j + 1374655416849.\nAnswer: 3*(j + 3)*(8*j - 390819)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478478 is divided by 68339?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -33*n**2. Let p(m) be the third derivative of -m**4\/2 + 9*m**2 + 9. What is p(j(f))?\nAnswer: 396*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.241 - 0.759. Which is the fourth biggest value? (a) w (b) 4 (c) 1 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 7*g**4\/24 + g**3\/2 + 51*g**2. Let k(w) = 6*w + 3. Calculate -5*k(s) + 4*y(s).\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -72, -88, -126, -198, -316, -492, -738, -1066?\n\"Answer: -2*j**3 + j**2 - 5*j - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*(sqrt(76)*-2 - sqrt(76)))\/sqrt(4).\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35726022944 minus -271?\nAnswer: -35726022673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 65 = 9. Suppose c*o = 4051 - 215. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((-8)\/(-36)*3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 26541.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 - 14286*j**2 + 969714*j - 16475312.\nAnswer: (j - 28504)*(j - 34)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**3 + 2*c**2 - c - 2. Let v be p(2). Suppose -4*u + v = -3*s, 8 = 2*u - s - 10. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100489 is divided by 50176.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.5 + 28. Let h = -1.7 - s. Let f = h + -0.3. Which is the nearest to 1? (a) 1 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + m + 18. Let y(z) = z - 5. Let u be y(5). Let w be s(u). Let k = w + -10. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 - 69*p + 634*p + 360 - 107*p - 179 + 246*p.\nAnswer: 704*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 - ((-80845)\/(-92))\/(-95). Let h be 6\/(-2)*2\/6. What is the fourth smallest value in -2, 1, d, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 14086336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**3\/6 - 3*d**2\/2 + 2*d. Let k(h) = h - 6. Let a be k(0). What is c(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f**3 - 11*f**2 - 22*f + 189. Let x(n) = -8*n**3 + 6*n**2 + 12*n - 95. What is 6*o(m) + 11*x(m)?\nAnswer: 2*m**3 + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -e6 (base 15) to base 12\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p + 246 = -218. Solve -151 = p*l - 119 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m + 5960000. Let o be (52\/(-10))\/((-10)\/(-50)). Let p = o + 26. Let q be u(p). What is q rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 - 199. Let m(z) = z**3 - 3*z**2 - 2*z + 11. Calculate the remainder when m(j) is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 233\/4 and 2\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 14 = -2*n. Suppose n*s = 3*s + 16. What is the remainder when 46 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 1360 = -2*x - 271, -558 = -x - 3*k. Suppose 5*c + x = 5*t + c, -5*t = 3*c - 542. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3 + 5*k**2 = 0. Calculate k.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 4:48 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 13*o**2 + 81*o - 372. What is q(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 14 + 51 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**3\/3 + s**2 + 2*s. Let f(x) = x**2 + x + 1. Determine 2*f(l) - y(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -29917526 - 716\nAnswer: -29918242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3 + 3 = 2*j, 2*y - 12 = 2*j. Suppose 855 = 4*a - g + 178, y*a + 4*g - 484 = 0. What is the highest common factor of 21 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**2 + 36792*a = 0?\nAnswer: 0, 9198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 423\/14, 1, 31, 3, -0.1, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000606524 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 7\/657?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17608 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2. Let q(k) be the third derivative of -19*k**4\/8 + k**2 + 35. Determine n(q(g)).\nAnswer: 9747*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20007 is divided by 253?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, -28, -3, -95.\nAnswer: -95, -28, -3, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28806?\nAnswer: 2, 3, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 2:16 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00050744 rounded to 6 dps?\nAnswer: -0.000507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8469, 8436, 8353, 8196, 7941, 7564, 7041, 6348?\n\"Answer: -4*w**3 - w**2 - 2*w + 8476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(-2\/19)\/q*q)*q*q\/(q*q*q**39)*((q\/(q**(-13)*q))\/q)**(-14) assuming q is positive.\nAnswer: q**(-3931\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/5)*(s\/s**(-7)*s)\/s*(s*s**(-4\/5))\/s**(-6\/5) assuming s is positive.\nAnswer: s**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84799 is divided by 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1136603247?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**4 - 11*j**3 - 42*j**2 - 64*j - 32 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 8. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.73196 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 627\/26, -0.5, -5\/3?\nAnswer: 627\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572654.\nAnswer: 2, 23, 59, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 times 3.8\nAnswer: 9.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -286 + 286. Which is bigger: a or -11\/91?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*w**3 + 157*w**3 - 101*w**3.\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 + 68. Suppose 6*f - 2*f = 20. Which is the nearest to i? (a) f (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18425715\/248 + 74297. Find the common denominator of 103\/20 and n.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -472883 * 22\nAnswer: -10403426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 625*u**3 + u - 2. Suppose 0 = 3*m - 3*d - 21, -2*m + 2*d - 16 = 6*d. Let i be c(m). Round i to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 13.78?\nAnswer: 13.78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 3*h + 130. Let k = 175 - -22. Let g = k + -132. Calculate the greatest common factor of g and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 8 + 4*p + 0*p - 4*p. Calculate q(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 - 20 = 28*k. Let s(v) = -125*v - 52. What is the hundreds digit of s(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -w + 5*x, 3*x = -2*w - 2 - 1. Solve w*m + m + 2 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 + -1.9. What is the smallest value in -2, q, 2\/3, 0.042?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 232 - 50 = -4*v, 8*v - 555 = 6110*p - 6111*p for v.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-10))\/((-3)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v + 24*v = 55*v - 16830. What is the highest common factor of 306 and v?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539985 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, -1\/4, -0.6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - c - 279 + 260 = 0, 4*a = -c + 26 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -4*r**8\/35 + 55*r**4\/6 + 104*r**3\/3 + 98*r + 2. Let k(y) be the second derivative of v(y). Differentiate k(i) wrt i.\nAnswer: -768*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2206330?\nAnswer: 2, 5, 7, 43, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 - 12. What is the highest common factor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499903 is divided by 217?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 11:23 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -254 in -6, 0.1, 4, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2 + 61*j - 5. Give x(8).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 + 23*y + 49. Let s be z(-3). Suppose 13 = 2*f - 19. Calculate the greatest common factor of f and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22120210122210201 + -11?\nAnswer: 22120210122210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23\/(-7) - -3*1. Is u < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnjs when four letters picked without replacement from {e: 1, n: 2, y: 1, j: 1, s: 1, z: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -160 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5780900?\nAnswer: 2, 5, 57809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 855\/(-228)*4\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 - 2*m - 15. Let f(x) = -x**2 - x - 1. Let t(l) = 2*f(l) - k(l). Differentiate t(b) wrt b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Suppose 5*l - 110 = -2*s, 5*l - 2*s + y*s = 130. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1484 and 17\/6460859.\nAnswer: 180904052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (-27 + (-13 - -64)) - (2 - -27)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, 169 in increasing order.\nAnswer: -10, -3, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2874 + -4 + 3 - -6*(-15)\/90 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**5 - r**4 + r + 2. Let h(d) = -883*d**5 + 6*d**4 + 354*d - 12. Let g(j) = -h(j) - 6*w(j). What is the second derivative of g(m) wrt m?\nAnswer: 17780*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -88, -83, -56, 5, 112, 277?\n\"Answer: 2*s**3 - s**2 - 6*s - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 854, 539, 224, -91, -406?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53.5 + -22. Let r = d + -32. What is the biggest value in 1, r, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**3 - 5*y**2 + 6*y + 17. Let m(n) = -3 - 4*n**2 - 8 - 3*n**3 - 4*n + 7*n**2. Let r(o) = 8*m(o) + 5*q(o). Is r(4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -44\/5 (b) 30 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d**2 - 214*d - 9. What is j(19)?\nAnswer: -1187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n + 3*n - n)*(7 - 133 - 80)*(3 - 4 + 0)*(3*n - n + n) + 2*n**2 - 4 + 4 as g*n**2 + a + o*n and give g.\nAnswer: -1852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) + (sqrt(450) - sqrt(450)*1))\/(sqrt(144) + (sqrt(144)*-1 - sqrt(144) - sqrt(144))).\nAnswer: -5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31\/471 + 77704\/1159131. Let h = -194467\/39376 + m. What is the common denominator of h and -25\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74997 is divided by 6243.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -x - 3*x - k, 4*k = 5*x + 55. Let a = 15 + x. What is the smallest common multiple of a and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -7375919\nAnswer: -147518.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 56\/(-7)*81\/(-3).\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*k + 2*k + k - 21*k - 46*k + 24*k - 1 + 1 - k + (1 + 0 - 3)*(-k - 3*k + 3*k) as v*k + g and give v.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28\/17? (a) 1\/3 (b) -6\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1112650618 + 1112650593.99999914. Let g = 24 + v. What is g rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 7*n - 5*i + 4, 0 = -3*n + 3*i - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14985 - -96460. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, 103, 192, 281, 370?\n\"Answer: 89*c - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 277031?\nAnswer: 277030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537779.\nAnswer: 3, 512593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(r - r - 3*r)*(-5 + 3 + 0).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235 + -202014?\nAnswer: -201335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 300.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -360*j. Let w(y) = -23952*y**2. What is w(u(f))?\nAnswer: -3104179200*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-18) + 1)*(-1323)\/(-16170)*11.\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/sqrt(90) - sqrt(33))\/(-2*(sqrt(11) + sqrt(33)\/sqrt(3))).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149\/14 - 21\/2. Put u, -1, 7 in descending order.\nAnswer: 7, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 8*o + 4. Suppose 2*v - 16 = -4*i, -2*i + 40 = 5*v - 0*v. Let h be z(v). Let b(k) = k + h*k - 2*k. Let r(j) = j. What is r(b(c))?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1962949\/42 + -46739. Find the common denominator of 49\/450 and b.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**6\/75 - 19*q**5\/150 - 11*q**4\/30 - q**3\/5 - 166*q - 1. Solve a(n) = 0.\nAnswer: -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6967 + 3)\/(2\/14). Suppose 0 = -2*i + p - 4808. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 34*r + 2023. Is z(12) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -135841, -270242, -404643?\n\"Answer: -134401*n - 1440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + 0.4. Let g(f) = -f**2 + 16*f - 62. Let m be g(10). What is the nearest to b in -3, 7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4*t + 37, 25*y + 5 = 26*y for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 12:34 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 20*l**2 + 335*l + 350.\nAnswer: -5*(l - 7)*(l + 1)*(l + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-9)*(108 + -117). Which is the closest to i? (a) -1 (b) 0.09 (c) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2. Suppose 4*s - 7 = 1. Let p(o) be the third derivative of -7*o**s - 1\/30*o**5 + 0*o**4 + 0 + 0*o + 0*o**3. Give p(g(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*v - 34 - 26. What is the third biggest value in 0.03, v, 23?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 217937, 218010, 218085, 218162, 218241, 218322?\n\"Answer: l**2 + 70*l + 217866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 5*s - 16 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 - 80 - 75 - c.\nAnswer: -c - 247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and 1253.838.\nAnswer: -53915.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 1\/12*q**4 - 41\/2*q**2 - 1\/2*q**3 - 4 - 2*q. Differentiate h(k) wrt k.\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -16. Suppose 6*m - b = 2*m + 227, -4*b = a*m - 100. Suppose 0 = -3*x - x + m. 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 highest common divisor of 100 and 887450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1450 and 850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12521 + -453?\nAnswer: 12035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**7\/21 - 13*b**5\/60 - 9*b**2. Find the third derivative of a(h) wrt h.\nAnswer: -240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1082 in 59\/2, 5, 11, 1\/5?\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - y**2 + 243*y - 243*y. Let h(b) = 34*b. Give h(r(l)).\nAnswer: -68*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 159645 a multiple of 367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1366 (b) 1\/2 (c) 3 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - w - 24 = -23, -4*w = t - 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8426 - -8423)*(0 + -21)*(-5)\/(4 - -1).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 468\/(-180) + -4*6\/(-8)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91280393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(1216)*1 + sqrt(1216) - sqrt(1216)) + -2 - sqrt(1216)) + 0)**2 + 5 + 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -398000 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 8:48 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 286*h**2 - 106*h + 9. Let i(f) = 71*f**2 - 27*f + 2. Give -9*i(q) + 2*x(q).\nAnswer: -67*q**2 + 31*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w = -m - 12*w + 1, -3 = 3*w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 128*l - 1656. Let k be p(-113). Sort 5, -4, k in decreasing order.\nAnswer: k, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 991 = 163. List the prime factors of q.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*j**2 + 43*j**3 - 8*j**2 + 8*j**2.\nAnswer: 43*j**3 + 236*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 1. Let i be c(4). Let q = 2.4 - 6.8. Let o = 4 + q. What is the second smallest value in i, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a year in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 5 + 0 - 5.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.5 and 2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 - -4 - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(80\/(-6)))\/(15\/(-10)). What is the closest to y in 4, 3, 539, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 3 (c) -1 (d) 0.5 (e) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 20\/(-30))*(-2 - (-98)\/40)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyeyyayyayye. What is prob of picking 1 y, 1 e, and 2 a?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417588.\nAnswer: 2, 3, 17, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1701 and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0245 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5340 (base 6) in base 11?\nAnswer: -a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, w: 1, s: 2, a: 6, d: 1, v: 6}. What is prob of sequence vdv?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 11*h**3 + 39*h**3 - 6*h**3.\nAnswer: 42*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 4*g - 20. Let a(m) = 3*m - 6. Give a(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 811.4399cm to meters.\nAnswer: 8.114399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 24\/(-10) - (20 - 20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**6\/120 + p**5\/15 - p**4\/8 + p**3\/2 - 2*p**2. What is w(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 7*h**2 + h + 10. Let a be g(7). Let u = a - 7. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*z + 26*z + 5 - 16*z + (0 - 1 + 0)*(-2*z - z + z) - z + 3 - 3.\nAnswer: -z + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9 + ((-399)\/931)\/(27\/(-2982)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 822*y - 160. Let z(o) = 201*o - 39. Let q(j) = -11*h(j) + 45*z(j). Let d(w) = -w + 4. Let v be d(-3). Determine q(v).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-4))\/((-4)\/(-36)). Let s be 12\/54 + 75\/m. What is the second derivative of -2*a - 11*a**4 - 6*a + 5*a - s*a wrt a?\nAnswer: -132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 325 + -323. Let o(i) be the third derivative of 0*i**3 + 1\/110*i**5 + 0 + 0*i + 1\/132*i**4 - 4*i**s. Factor o(y).\nAnswer: 2*y*(3*y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 2, 6, 12, 20?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -2*h. Suppose -5*g + 0*g = -l + 40, -h*l + 98 = -4*g. Solve -z = k - 0*z - 10, 2*k = -4*z + l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - -12 - (17 - 2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(200) + sqrt(200) + sqrt(200))\/sqrt(10) - (-4 + 6*sqrt(5)*-2).\nAnswer: 4 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Calculate 610 divided by -4.\nAnswer: -305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/27 + 52\/(-9). Let j(o) be the third derivative of o**5\/60 + 7*o**4\/24 + 4*o**3\/3 - 2*o**2. What is the units digit of j(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/2))**(4\/7)*(t**8)**(-35) assuming t is positive.\nAnswer: t**(-1954\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 6. Suppose -z + 145 = x, -2*x + h*x - 1 = 0. Suppose -z - 57 = -3*n. Is 24 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 16*c - 9. Let d(n) = -24*n + 13. What is -5*d(b) - 7*f(b)?\nAnswer: 8*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -112, 2\/13, -0.4?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55\/2 - -28. Suppose -46 = -0*z - 2*z. Let t be 1 + -4 + z\/7. Which is the closest to l? (a) 0.2 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by 212?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1 - 2*g - 2*g - 10*g + 10*g - g. Let m(c) = -9*c - 2. Give 2*m(x) - 5*s(x).\nAnswer: 7*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(57) + (sqrt(513) - sqrt(57))))\/(-1*sqrt(300)) + -4)**2*4.\nAnswer: 96*sqrt(19)\/5 + 2284\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 48 (b) -2 (c) -0.173 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 10 = 5. Suppose -16 = -s - 5*u, 0*s - c*u + 7 = -2*s. Calculate the remainder when 1 is divided by (2\/(s - 3))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.26279 millennia to years.\nAnswer: 9262.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 - 167*b**2 + 87*b**2 - b**3 + 78*b**2 + 8*b - 45 to s*b + n + c*b**3 + m*b**4 + o*b**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 347584681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/4 (b) -0.5 (c) 0.01 (d) 3 (e) 41\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.71 times 0.3?\nAnswer: 1.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jojcwjo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 12:38 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 739\/45319 or 0?\nAnswer: 739\/45319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -24*m + 160. Let w = -785 - -792. Let i be y(w). Let f(h) = h**2 + 8*h - 2. Calculate f(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10*o + 3*v = 294, 4*o + v - 231 = 0. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (108\/(-20))\/((-572)\/80 - -7). Which is smaller: 42 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 564 and 2285516.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/11 + 1950*c\/11.\nAnswer: 2*c*(c + 975)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -34. Calculate the least common multiple of d and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t - t - 3*t**3 + 0*t**3. Suppose q = -5 + 2. Does 21 divide z(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -1 + -6 + 2. Let k be 6\/4 + -3 + (-9)\/(-6). Put k, -2, u in decreasing order.\nAnswer: k, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -133*f - 127 - 129. Sort -34, 1, f in ascending order.\nAnswer: -34, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 - -85. Find the third derivative of -15*l**2 + 50*l**4 - 20*l**4 - s*l**4 wrt l.\nAnswer: 336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/4 - 135*o**3\/4 - 261*o**2\/4 + 671*o\/4 + 399\/2 = 0. Calculate o.\nAnswer: -133, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(3 - (2 - 0)). Let a(k) = 15*k**3 - k**2 + 1. Determine a(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -x + 20, 4*x - 4*m + 35 + 17 - 36 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - ((-2 - -4) + -7). Let t(d) = -2*d + d + 9 + 1 - 7. Let x be t(z). Solve -16 = -x*j - 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719467336 rounded to the nearest one hundred thousand?\nAnswer: 719500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**6\/60 - x**5\/20 + x**2. Let f be g(2). Solve -2*w - 30 = -5*p, 2*p + 4*w = -2*p - f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 87296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*z = 12, 4*y + z - 36 = 5*z. What is the third derivative of 36*o**6 + 0*o**2 - 70*o**6 + y*o**2 wrt o?\nAnswer: -4080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/23 (b) 2\/2765 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 22bc2?\nAnswer: 22bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 64984729 to the power of 1\/3, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -293, -583, -871, -1157, -1441, -1723?\n\"Answer: a**2 - 293*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1178, -2428, -3692, -4976, -6286, -7628, -9008?\n\"Answer: -c**3 - c**2 - 1240*c + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 68, 125, 210, 317, 440, 573, 710?\n\"Answer: -u**3 + 20*u**2 + 4*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-15))\/(2 - 15\/9). Which is the smallest value? (a) -0.05 (b) 4 (c) g (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14117 is divided by 1192.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -3, 7, 17, -4 in increasing order.\nAnswer: -36, -4, -3, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(4\/3)*f\/(f**(4\/3)*f))\/(f**(-4\/7)*f**(2\/45)))**13 assuming f is positive.\nAnswer: f**(2158\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 + 1)*(-3*x**2 - 1 + 1) - 107 + 3230*x - 3230*x - x**2 to the form v*x**2 + w + t*x and give w.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-1 - (-21)\/15)*-5. Suppose 7*r - m*r - 280 = 0. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (18 + -15 - -10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 - 75*p**2 + 75\/2*p**4 + 75\/2 + 3\/2*p + 3\/2*p**5 = 0. Calculate p.\nAnswer: -25, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*sqrt(42)\/sqrt(6))**2.\nAnswer: -32*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*h**2 - 135*h**2 - 4*h + 4*h.\nAnswer: -346*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 249*j*u - 3*j - 816*u wrt j?\nAnswer: 249*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 31*t**4\/3 + 2854*t**3\/3 + 65749*t**2\/3 + 58698*t + 3696 = 0?\nAnswer: -56, -33, -3, -2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 60*o**3 - 64*o**2 - 60*o + 62.\nAnswer: 2*(o - 1)**2*(o + 1)*(o + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpd when three letters picked without replacement from xbzbtzbpbzbzd.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -9*c + 13*c + 9, -3*c = 5*d + 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 4*j**2 + 7*j + 5. Calculate r(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*h**2 - 93*h**2 - 94*h**2 - 103*h**2 + 485*h**2 - 105*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(20)\/sqrt(4) + sqrt(20)*3 + 3)*2 - (1*-2*(sqrt(5) - sqrt(10)\/sqrt(2)) + sqrt(405)*-2 + sqrt(5) + 0))**2.\nAnswer: 444*sqrt(5) + 6881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 0 (c) -2 (d) -2\/107 (e) -5339\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.261011 - -5?\nAnswer: 5.261011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 122*z**2 - 416*z + 547. Does 45 divide o(118)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-21)\/10 - (-1596)\/(-40). Let x(n) = n**3 + 2*n - 3. Let k be x(-4). Calculate the common denominator of (132\/(-10))\/(h\/k) and -44\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2832977\/396 + -7154. What is the common denominator of w and 25\/18?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/10 - 91*m**2\/2 + m\/10 + 91\/2.\nAnswer: -(m - 1)*(m + 1)*(m + 455)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 + 50 - 22 - -29?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (674\/6)\/((-6)\/(-252)) - (1 - 3).\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -15899?\nAnswer: -15897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 9*o**2 - 2. Let q be u(-9). Let b be q + ((-13)\/(-15) - -1). Let t = -0.2 + 1.2. Sort b, t, 0.5.\nAnswer: b, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**5\/60 - j**4\/12 + 3*j**2. Let w be o(3). Suppose -3*g + g - g**3 - 4*g**w - 7*g**2 = 0. Calculate g.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t - 3*t + t + (5*t + 10 - 10)*(1 + 3 - 3))*(282*t - 3*t**3 + 5*t**3 - 22*t) in the form g*t**2 + r*t**3 + s + n*t**4 + c*t and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 13 + -4 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by (16\/(-16))\/((-2)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, -78, -305, -748, -1479, -2570, -4093, -6120?\n\"Answer: -12*i**3 + i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 7)*3\/6. Let o be (-12)\/(-9) - (-110)\/(-6). Let l = a - o. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 5*c + 1616, c = 2 + 2. Suppose -f = 2*f - x. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Suppose q*l - 12 + 2 = 0. List the prime factors of 8\/20 + 33\/l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*h + 18, 2*a - h - 16 = -7. Suppose -a*r = 0, 2*u + 2*r - 40 = 7*r. What is the derivative of -u*i**2 - 27*i**2 - 27 + 50*i**2 wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.21 * -23777.3\nAnswer: 28770.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -542 divided by 4073.\nAnswer: -542\/4073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 631278 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3692354921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5939025.\nAnswer: 3, 5, 79187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 27*j**2 + 46*j + 105. Let b be c(25). Solve 0 = 3*h - m + 20, 2*h + 0 = -3*m + b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-104)\/(-78) + 1276\/(-624) and -69\/104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4\/4 + 31533*x**3\/4 - 2647995*x**2\/2 + 56460567*x - 107688222 = 0.\nAnswer: -10677, 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160618, -321236, -481854, -642472, -803090?\nAnswer: -963708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 4*i = -48, 19 = 1519*t - 1518*t + 2*i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - f. Let p(i) = 15*i**2 + 39*i + 3. Give -18*a(z) - p(z).\nAnswer: 3*z**2 - 21*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 a factor of 2261198875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1513 + 1515 + (-1 + 0 - (5 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/12 + 77\/(-4). What are the prime factors of (-3)\/4 - 395\/y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 4*w**2 + 2 + 90*w**3 - w - 91*w**3. Let g be k(2). Sort -5, g, 2 in decreasing order.\nAnswer: 2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24289 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65\/462 + -1\/22. Let z(g) be the first derivative of -4\/7*g + d*g**3 - 1\/7*g**2 - 1. Factor z(x).\nAnswer: 2*(x - 2)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 7 - (-1 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 - 142. Find the second derivative of -2*n**2 + 15*n**g - 37*n - 12*n + 5*n**2 + 2*n**4 wrt n.\nAnswer: 204*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**3 + 91440*q**2 - 532403988*q + 111759915752 = 0. Calculate q.\nAnswer: 218, 11321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1217479 is divided by 94?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18045 - -198742\/11. Let o be 14427\/(-1320) + 2\/(-5). Let q = l + o. What is the common denominator of q and -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -15. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6507283, -13014565, -19521849, -26029135, -32536423, -39043713?\n\"Answer: -w**2 - 6507279*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - z + 0 = -2, 4*t - z + 2 = 0. Let j be 1 + (t - 2) + 1. Suppose j*g - 3*g + 2*n + 63 = 0, -81 = -3*g - 4*n. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2891 - 2611 = 7*f. Suppose 190 = 2*h - 7*h. Let v = f + h. Let a(z) = z**2 + 2*z. Let u(i) = 2*i**2 + 3*i - 1. Calculate v*u(m) - 3*a(m).\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 3*y**2 + 4*y - 5. Let l be z(3). What are the prime factors of 16\/56 + 656\/l?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 20 = -5*v - p, 0 = 4*v - 3*p - 39. Suppose 4*q + 0*s + 3 = s, 3*q = 2*s - v. Let w = -2.8 + 7.8. What is the closest to q in -2\/7, w, -1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77699416*-1\nAnswer: -77699416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -1ca?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**2 + 57*f\/4 - 45\/4 = 0.\nAnswer: 1, 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = 490*t - 493*t for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 7*v**2 - v - 30. Let c be p(6). Let q be 8 - (-1 - -2)*1. Suppose 2*o - 10 = -2*x, -3*x + o - 6*o + q = c. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*(sqrt(99) - (0 + sqrt(99))))**2 - (-2*(sqrt(1331)*3)**2 + -1).\nAnswer: 23968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-63)\/(-6)*492\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 3, 64, -3, -2\/3, 4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343421752.\nAnswer: 2, 1193, 35983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 6*p - 6*p + (p + 0*p - 2*p)*(-2 + 2 - 2) + p - 2*p - 6*p + (-4 + 4 - 4*p)*(-12 + 1 + 4) in the form c + s*p and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68\/16 + 1\/(-4). Suppose q*k = 20 + 12. Let u(d) = -9*d - 144 + k*d + 137. Determine u(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 + 2*w - 4. Let b(t) = -9*t**2 - 4*t + 7. Let r(f) = 6*b(f) + 11*s(f). List the prime factors of r(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1493, -1496, -1499?\n\"Answer: -3*c - 1490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -6 + 16. Suppose -5*n + 5 + l = 0. Solve n*k + 21 = 4*h - k, h = -k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 404208 and 106.\nAnswer: 21423024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}